Identifier
Mp00065:
Permutations
—permutation poset⟶
Posets
Mp00110: Posets —Greene-Kleitman invariant⟶ Integer partitions
Mp00110: Posets —Greene-Kleitman invariant⟶ Integer partitions
Images
=>
Cc0014;cc-rep-1Cc0002;cc-rep-2
[1]=>([],1)=>[1]
[1,2]=>([(0,1)],2)=>[2]
[2,1]=>([],2)=>[1,1]
[1,2,3]=>([(0,2),(2,1)],3)=>[3]
[1,3,2]=>([(0,1),(0,2)],3)=>[2,1]
[2,1,3]=>([(0,2),(1,2)],3)=>[2,1]
[2,3,1]=>([(1,2)],3)=>[2,1]
[3,1,2]=>([(1,2)],3)=>[2,1]
[3,2,1]=>([],3)=>[1,1,1]
[1,2,3,4]=>([(0,3),(2,1),(3,2)],4)=>[4]
[1,2,4,3]=>([(0,3),(3,1),(3,2)],4)=>[3,1]
[1,3,2,4]=>([(0,1),(0,2),(1,3),(2,3)],4)=>[3,1]
[1,3,4,2]=>([(0,2),(0,3),(3,1)],4)=>[3,1]
[1,4,2,3]=>([(0,2),(0,3),(3,1)],4)=>[3,1]
[1,4,3,2]=>([(0,1),(0,2),(0,3)],4)=>[2,1,1]
[2,1,3,4]=>([(0,3),(1,3),(3,2)],4)=>[3,1]
[2,1,4,3]=>([(0,2),(0,3),(1,2),(1,3)],4)=>[2,2]
[2,3,1,4]=>([(0,3),(1,2),(2,3)],4)=>[3,1]
[2,3,4,1]=>([(1,2),(2,3)],4)=>[3,1]
[2,4,1,3]=>([(0,3),(1,2),(1,3)],4)=>[2,2]
[2,4,3,1]=>([(1,2),(1,3)],4)=>[2,1,1]
[3,1,2,4]=>([(0,3),(1,2),(2,3)],4)=>[3,1]
[3,1,4,2]=>([(0,3),(1,2),(1,3)],4)=>[2,2]
[3,2,1,4]=>([(0,3),(1,3),(2,3)],4)=>[2,1,1]
[3,2,4,1]=>([(1,3),(2,3)],4)=>[2,1,1]
[3,4,1,2]=>([(0,3),(1,2)],4)=>[2,2]
[3,4,2,1]=>([(2,3)],4)=>[2,1,1]
[4,1,2,3]=>([(1,2),(2,3)],4)=>[3,1]
[4,1,3,2]=>([(1,2),(1,3)],4)=>[2,1,1]
[4,2,1,3]=>([(1,3),(2,3)],4)=>[2,1,1]
[4,2,3,1]=>([(2,3)],4)=>[2,1,1]
[4,3,1,2]=>([(2,3)],4)=>[2,1,1]
[4,3,2,1]=>([],4)=>[1,1,1,1]
[1,2,3,4,5]=>([(0,4),(2,3),(3,1),(4,2)],5)=>[5]
[1,2,3,5,4]=>([(0,3),(3,4),(4,1),(4,2)],5)=>[4,1]
[1,2,4,3,5]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>[4,1]
[1,2,4,5,3]=>([(0,4),(3,2),(4,1),(4,3)],5)=>[4,1]
[1,2,5,3,4]=>([(0,4),(3,2),(4,1),(4,3)],5)=>[4,1]
[1,2,5,4,3]=>([(0,4),(4,1),(4,2),(4,3)],5)=>[3,1,1]
[1,3,2,4,5]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>[4,1]
[1,3,2,5,4]=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>[3,2]
[1,3,4,2,5]=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>[4,1]
[1,3,4,5,2]=>([(0,2),(0,4),(3,1),(4,3)],5)=>[4,1]
[1,3,5,2,4]=>([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>[3,2]
[1,3,5,4,2]=>([(0,3),(0,4),(4,1),(4,2)],5)=>[3,1,1]
[1,4,2,3,5]=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>[4,1]
[1,4,2,5,3]=>([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>[3,2]
[1,4,3,2,5]=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>[3,1,1]
[1,4,3,5,2]=>([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>[3,1,1]
[1,4,5,2,3]=>([(0,3),(0,4),(3,2),(4,1)],5)=>[3,2]
[1,4,5,3,2]=>([(0,2),(0,3),(0,4),(4,1)],5)=>[3,1,1]
[1,5,2,3,4]=>([(0,2),(0,4),(3,1),(4,3)],5)=>[4,1]
[1,5,2,4,3]=>([(0,3),(0,4),(4,1),(4,2)],5)=>[3,1,1]
[1,5,3,2,4]=>([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>[3,1,1]
[1,5,3,4,2]=>([(0,2),(0,3),(0,4),(4,1)],5)=>[3,1,1]
[1,5,4,2,3]=>([(0,2),(0,3),(0,4),(4,1)],5)=>[3,1,1]
[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>[2,1,1,1]
[2,1,3,4,5]=>([(0,4),(1,4),(2,3),(4,2)],5)=>[4,1]
[2,1,3,5,4]=>([(0,4),(1,4),(4,2),(4,3)],5)=>[3,2]
[2,1,4,3,5]=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>[3,2]
[2,1,4,5,3]=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>[3,2]
[2,1,5,3,4]=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>[3,2]
[2,1,5,4,3]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>[2,2,1]
[2,3,1,4,5]=>([(0,4),(1,2),(2,4),(4,3)],5)=>[4,1]
[2,3,1,5,4]=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>[3,2]
[2,3,4,1,5]=>([(0,4),(1,2),(2,3),(3,4)],5)=>[4,1]
[2,3,4,5,1]=>([(1,4),(3,2),(4,3)],5)=>[4,1]
[2,3,5,1,4]=>([(0,4),(1,2),(2,3),(2,4)],5)=>[3,2]
[2,3,5,4,1]=>([(1,4),(4,2),(4,3)],5)=>[3,1,1]
[2,4,1,3,5]=>([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>[3,2]
[2,4,1,5,3]=>([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>[3,2]
[2,4,3,1,5]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>[3,1,1]
[2,4,3,5,1]=>([(1,2),(1,3),(2,4),(3,4)],5)=>[3,1,1]
[2,4,5,1,3]=>([(0,4),(1,2),(1,4),(2,3)],5)=>[3,2]
[2,4,5,3,1]=>([(1,3),(1,4),(4,2)],5)=>[3,1,1]
[2,5,1,3,4]=>([(0,4),(1,2),(1,4),(4,3)],5)=>[3,2]
[2,5,1,4,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>[2,2,1]
[2,5,3,1,4]=>([(0,4),(1,2),(1,3),(3,4)],5)=>[3,1,1]
[2,5,3,4,1]=>([(1,3),(1,4),(4,2)],5)=>[3,1,1]
[2,5,4,1,3]=>([(0,4),(1,2),(1,3),(1,4)],5)=>[2,2,1]
[2,5,4,3,1]=>([(1,2),(1,3),(1,4)],5)=>[2,1,1,1]
[3,1,2,4,5]=>([(0,4),(1,2),(2,4),(4,3)],5)=>[4,1]
[3,1,2,5,4]=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>[3,2]
[3,1,4,2,5]=>([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>[3,2]
[3,1,4,5,2]=>([(0,4),(1,2),(1,4),(4,3)],5)=>[3,2]
[3,1,5,2,4]=>([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>[3,2]
[3,1,5,4,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>[2,2,1]
[3,2,1,4,5]=>([(0,4),(1,4),(2,4),(4,3)],5)=>[3,1,1]
[3,2,1,5,4]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>[2,2,1]
[3,2,4,1,5]=>([(0,4),(1,3),(2,3),(3,4)],5)=>[3,1,1]
[3,2,4,5,1]=>([(1,4),(2,4),(4,3)],5)=>[3,1,1]
[3,2,5,1,4]=>([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>[2,2,1]
[3,2,5,4,1]=>([(1,3),(1,4),(2,3),(2,4)],5)=>[2,2,1]
[3,4,1,2,5]=>([(0,3),(1,2),(2,4),(3,4)],5)=>[3,2]
[3,4,1,5,2]=>([(0,3),(1,2),(1,4),(3,4)],5)=>[3,2]
[3,4,2,1,5]=>([(0,4),(1,4),(2,3),(3,4)],5)=>[3,1,1]
[3,4,2,5,1]=>([(1,4),(2,3),(3,4)],5)=>[3,1,1]
[3,4,5,1,2]=>([(0,3),(1,4),(4,2)],5)=>[3,2]
[3,4,5,2,1]=>([(2,3),(3,4)],5)=>[3,1,1]
[3,5,1,2,4]=>([(0,3),(1,2),(1,4),(3,4)],5)=>[3,2]
[3,5,1,4,2]=>([(0,3),(0,4),(1,2),(1,4)],5)=>[2,2,1]
[3,5,2,1,4]=>([(0,4),(1,4),(2,3),(2,4)],5)=>[2,2,1]
[3,5,2,4,1]=>([(1,4),(2,3),(2,4)],5)=>[2,2,1]
[3,5,4,1,2]=>([(0,4),(1,2),(1,3)],5)=>[2,2,1]
[3,5,4,2,1]=>([(2,3),(2,4)],5)=>[2,1,1,1]
[4,1,2,3,5]=>([(0,4),(1,2),(2,3),(3,4)],5)=>[4,1]
[4,1,2,5,3]=>([(0,4),(1,2),(2,3),(2,4)],5)=>[3,2]
[4,1,3,2,5]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>[3,1,1]
[4,1,3,5,2]=>([(0,4),(1,2),(1,3),(3,4)],5)=>[3,1,1]
[4,1,5,2,3]=>([(0,4),(1,2),(1,4),(2,3)],5)=>[3,2]
[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(1,4)],5)=>[2,2,1]
[4,2,1,3,5]=>([(0,4),(1,3),(2,3),(3,4)],5)=>[3,1,1]
[4,2,1,5,3]=>([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>[2,2,1]
[4,2,3,1,5]=>([(0,4),(1,4),(2,3),(3,4)],5)=>[3,1,1]
[4,2,3,5,1]=>([(1,4),(2,3),(3,4)],5)=>[3,1,1]
[4,2,5,1,3]=>([(0,4),(1,3),(2,3),(2,4)],5)=>[2,2,1]
[4,2,5,3,1]=>([(1,4),(2,3),(2,4)],5)=>[2,2,1]
[4,3,1,2,5]=>([(0,4),(1,4),(2,3),(3,4)],5)=>[3,1,1]
[4,3,1,5,2]=>([(0,4),(1,4),(2,3),(2,4)],5)=>[2,2,1]
[4,3,2,1,5]=>([(0,4),(1,4),(2,4),(3,4)],5)=>[2,1,1,1]
[4,3,2,5,1]=>([(1,4),(2,4),(3,4)],5)=>[2,1,1,1]
[4,3,5,1,2]=>([(0,4),(1,4),(2,3)],5)=>[2,2,1]
[4,3,5,2,1]=>([(2,4),(3,4)],5)=>[2,1,1,1]
[4,5,1,2,3]=>([(0,3),(1,4),(4,2)],5)=>[3,2]
[4,5,1,3,2]=>([(0,4),(1,2),(1,3)],5)=>[2,2,1]
[4,5,2,1,3]=>([(0,4),(1,4),(2,3)],5)=>[2,2,1]
[4,5,2,3,1]=>([(1,4),(2,3)],5)=>[2,2,1]
[4,5,3,1,2]=>([(1,4),(2,3)],5)=>[2,2,1]
[4,5,3,2,1]=>([(3,4)],5)=>[2,1,1,1]
[5,1,2,3,4]=>([(1,4),(3,2),(4,3)],5)=>[4,1]
[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5)=>[3,1,1]
[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5)=>[3,1,1]
[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5)=>[3,1,1]
[5,1,4,2,3]=>([(1,3),(1,4),(4,2)],5)=>[3,1,1]
[5,1,4,3,2]=>([(1,2),(1,3),(1,4)],5)=>[2,1,1,1]
[5,2,1,3,4]=>([(1,4),(2,4),(4,3)],5)=>[3,1,1]
[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5)=>[2,2,1]
[5,2,3,1,4]=>([(1,4),(2,3),(3,4)],5)=>[3,1,1]
[5,2,3,4,1]=>([(2,3),(3,4)],5)=>[3,1,1]
[5,2,4,1,3]=>([(1,4),(2,3),(2,4)],5)=>[2,2,1]
[5,2,4,3,1]=>([(2,3),(2,4)],5)=>[2,1,1,1]
[5,3,1,2,4]=>([(1,4),(2,3),(3,4)],5)=>[3,1,1]
[5,3,1,4,2]=>([(1,4),(2,3),(2,4)],5)=>[2,2,1]
[5,3,2,1,4]=>([(1,4),(2,4),(3,4)],5)=>[2,1,1,1]
[5,3,2,4,1]=>([(2,4),(3,4)],5)=>[2,1,1,1]
[5,3,4,1,2]=>([(1,4),(2,3)],5)=>[2,2,1]
[5,3,4,2,1]=>([(3,4)],5)=>[2,1,1,1]
[5,4,1,2,3]=>([(2,3),(3,4)],5)=>[3,1,1]
[5,4,1,3,2]=>([(2,3),(2,4)],5)=>[2,1,1,1]
[5,4,2,1,3]=>([(2,4),(3,4)],5)=>[2,1,1,1]
[5,4,2,3,1]=>([(3,4)],5)=>[2,1,1,1]
[5,4,3,1,2]=>([(3,4)],5)=>[2,1,1,1]
[5,4,3,2,1]=>([],5)=>[1,1,1,1,1]
[1,2,3,4,5,6]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>[6]
[1,2,3,4,6,5]=>([(0,4),(3,5),(4,3),(5,1),(5,2)],6)=>[5,1]
[1,2,3,5,4,6]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>[5,1]
[1,2,3,5,6,4]=>([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>[5,1]
[1,2,3,6,4,5]=>([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>[5,1]
[1,2,3,6,5,4]=>([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>[4,1,1]
[1,2,4,3,5,6]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>[5,1]
[1,2,4,3,6,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>[4,2]
[1,2,4,5,3,6]=>([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>[5,1]
[1,2,4,5,6,3]=>([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>[5,1]
[1,2,4,6,3,5]=>([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>[4,2]
[1,2,4,6,5,3]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>[4,1,1]
[1,2,5,3,4,6]=>([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>[5,1]
[1,2,5,3,6,4]=>([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>[4,2]
[1,2,5,4,3,6]=>([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>[4,1,1]
[1,2,5,4,6,3]=>([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>[4,1,1]
[1,2,5,6,3,4]=>([(0,5),(3,2),(4,1),(5,3),(5,4)],6)=>[4,2]
[1,2,5,6,4,3]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>[4,1,1]
[1,2,6,3,4,5]=>([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>[5,1]
[1,2,6,3,5,4]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>[4,1,1]
[1,2,6,4,3,5]=>([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>[4,1,1]
[1,2,6,4,5,3]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>[4,1,1]
[1,2,6,5,3,4]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>[4,1,1]
[1,2,6,5,4,3]=>([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>[3,1,1,1]
[1,3,2,4,5,6]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>[5,1]
[1,3,2,4,6,5]=>([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)=>[4,2]
[1,3,2,5,4,6]=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>[4,2]
[1,3,2,5,6,4]=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>[4,2]
[1,3,2,6,4,5]=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>[4,2]
[1,3,2,6,5,4]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[3,2,1]
[1,3,4,2,5,6]=>([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>[5,1]
[1,3,4,2,6,5]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>[4,2]
[1,3,4,5,2,6]=>([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>[5,1]
[1,3,4,5,6,2]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>[5,1]
[1,3,4,6,2,5]=>([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>[4,2]
[1,3,4,6,5,2]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>[4,1,1]
[1,3,5,2,4,6]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>[4,2]
[1,3,5,2,6,4]=>([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>[4,2]
[1,3,5,4,2,6]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>[4,1,1]
[1,3,5,4,6,2]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>[4,1,1]
[1,3,5,6,2,4]=>([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>[4,2]
[1,3,5,6,4,2]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>[4,1,1]
[1,3,6,2,4,5]=>([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)=>[4,2]
[1,3,6,2,5,4]=>([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)=>[3,2,1]
[1,3,6,4,2,5]=>([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>[4,1,1]
[1,3,6,4,5,2]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>[4,1,1]
[1,3,6,5,2,4]=>([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>[3,2,1]
[1,3,6,5,4,2]=>([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>[3,1,1,1]
[1,4,2,3,5,6]=>([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>[5,1]
[1,4,2,3,6,5]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>[4,2]
[1,4,2,5,3,6]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>[4,2]
[1,4,2,5,6,3]=>([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)=>[4,2]
[1,4,2,6,3,5]=>([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>[4,2]
[1,4,2,6,5,3]=>([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)=>[3,2,1]
[1,4,3,2,5,6]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>[4,1,1]
[1,4,3,2,6,5]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[3,2,1]
[1,4,3,5,2,6]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>[4,1,1]
[1,4,3,5,6,2]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>[4,1,1]
[1,4,3,6,2,5]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[3,2,1]
[1,4,3,6,5,2]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>[3,2,1]
[1,4,5,2,3,6]=>([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)=>[4,2]
[1,4,5,2,6,3]=>([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)=>[4,2]
[1,4,5,3,2,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>[4,1,1]
[1,4,5,3,6,2]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>[4,1,1]
[1,4,5,6,2,3]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>[4,2]
[1,4,5,6,3,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>[4,1,1]
[1,4,6,2,3,5]=>([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)=>[4,2]
[1,4,6,2,5,3]=>([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)=>[3,2,1]
[1,4,6,3,2,5]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>[3,2,1]
[1,4,6,3,5,2]=>([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>[3,2,1]
[1,4,6,5,2,3]=>([(0,4),(0,5),(4,3),(5,1),(5,2)],6)=>[3,2,1]
[1,4,6,5,3,2]=>([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>[3,1,1,1]
[1,5,2,3,4,6]=>([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>[5,1]
[1,5,2,3,6,4]=>([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>[4,2]
[1,5,2,4,3,6]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>[4,1,1]
[1,5,2,4,6,3]=>([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>[4,1,1]
[1,5,2,6,3,4]=>([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>[4,2]
[1,5,2,6,4,3]=>([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>[3,2,1]
[1,5,3,2,4,6]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>[4,1,1]
[1,5,3,2,6,4]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[3,2,1]
[1,5,3,4,2,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>[4,1,1]
[1,5,3,4,6,2]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>[4,1,1]
[1,5,3,6,2,4]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)=>[3,2,1]
[1,5,3,6,4,2]=>([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>[3,2,1]
[1,5,4,2,3,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>[4,1,1]
[1,5,4,2,6,3]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>[3,2,1]
[1,5,4,3,2,6]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>[3,1,1,1]
[1,5,4,3,6,2]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>[3,1,1,1]
[1,5,4,6,2,3]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)=>[3,2,1]
[1,5,4,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>[3,1,1,1]
[1,5,6,2,3,4]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>[4,2]
[1,5,6,2,4,3]=>([(0,4),(0,5),(4,3),(5,1),(5,2)],6)=>[3,2,1]
[1,5,6,3,2,4]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)=>[3,2,1]
[1,5,6,3,4,2]=>([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>[3,2,1]
[1,5,6,4,2,3]=>([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>[3,2,1]
[1,5,6,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>[3,1,1,1]
[1,6,2,3,4,5]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>[5,1]
[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>[4,1,1]
[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>[4,1,1]
[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>[4,1,1]
[1,6,2,5,3,4]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>[4,1,1]
[1,6,2,5,4,3]=>([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>[3,1,1,1]
[1,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>[4,1,1]
[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>[3,2,1]
[1,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>[4,1,1]
[1,6,3,4,5,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>[4,1,1]
[1,6,3,5,2,4]=>([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>[3,2,1]
[1,6,3,5,4,2]=>([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>[3,1,1,1]
[1,6,4,2,3,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>[4,1,1]
[1,6,4,2,5,3]=>([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>[3,2,1]
[1,6,4,3,2,5]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>[3,1,1,1]
[1,6,4,3,5,2]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>[3,1,1,1]
[1,6,4,5,2,3]=>([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>[3,2,1]
[1,6,4,5,3,2]=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>[3,1,1,1]
[1,6,5,2,3,4]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>[4,1,1]
[1,6,5,2,4,3]=>([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>[3,1,1,1]
[1,6,5,3,2,4]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>[3,1,1,1]
[1,6,5,3,4,2]=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>[3,1,1,1]
[1,6,5,4,2,3]=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>[3,1,1,1]
[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>[2,1,1,1,1]
[2,1,3,4,5,6]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>[5,1]
[2,1,3,4,6,5]=>([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>[4,2]
[2,1,3,5,4,6]=>([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>[4,2]
[2,1,3,5,6,4]=>([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>[4,2]
[2,1,3,6,4,5]=>([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>[4,2]
[2,1,3,6,5,4]=>([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>[3,2,1]
[2,1,4,3,5,6]=>([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>[4,2]
[2,1,4,3,6,5]=>([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)=>[3,3]
[2,1,4,5,3,6]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>[4,2]
[2,1,4,5,6,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)=>[4,2]
[2,1,4,6,3,5]=>([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>[3,3]
[2,1,4,6,5,3]=>([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>[3,2,1]
[2,1,5,3,4,6]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>[4,2]
[2,1,5,3,6,4]=>([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>[3,3]
[2,1,5,4,3,6]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>[3,2,1]
[2,1,5,4,6,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>[3,2,1]
[2,1,5,6,3,4]=>([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)=>[3,3]
[2,1,5,6,4,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>[3,2,1]
[2,1,6,3,4,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)=>[4,2]
[2,1,6,3,5,4]=>([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>[3,2,1]
[2,1,6,4,3,5]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>[3,2,1]
[2,1,6,4,5,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>[3,2,1]
[2,1,6,5,3,4]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>[3,2,1]
[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>[2,2,1,1]
[2,3,1,4,5,6]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>[5,1]
[2,3,1,4,6,5]=>([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>[4,2]
[2,3,1,5,4,6]=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>[4,2]
[2,3,1,5,6,4]=>([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>[4,2]
[2,3,1,6,4,5]=>([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>[4,2]
[2,3,1,6,5,4]=>([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[3,2,1]
[2,3,4,1,5,6]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>[5,1]
[2,3,4,1,6,5]=>([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)=>[4,2]
[2,3,4,5,1,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>[5,1]
[2,3,4,5,6,1]=>([(1,5),(3,4),(4,2),(5,3)],6)=>[5,1]
[2,3,4,6,1,5]=>([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>[4,2]
[2,3,4,6,5,1]=>([(1,4),(4,5),(5,2),(5,3)],6)=>[4,1,1]
[2,3,5,1,4,6]=>([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)=>[4,2]
[2,3,5,1,6,4]=>([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>[4,2]
[2,3,5,4,1,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>[4,1,1]
[2,3,5,4,6,1]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>[4,1,1]
[2,3,5,6,1,4]=>([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>[4,2]
[2,3,5,6,4,1]=>([(1,5),(4,3),(5,2),(5,4)],6)=>[4,1,1]
[2,3,6,1,4,5]=>([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>[4,2]
[2,3,6,1,5,4]=>([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)=>[3,2,1]
[2,3,6,4,1,5]=>([(0,5),(1,4),(3,5),(4,2),(4,3)],6)=>[4,1,1]
[2,3,6,4,5,1]=>([(1,5),(4,3),(5,2),(5,4)],6)=>[4,1,1]
[2,3,6,5,1,4]=>([(0,5),(1,4),(4,2),(4,3),(4,5)],6)=>[3,2,1]
[2,3,6,5,4,1]=>([(1,5),(5,2),(5,3),(5,4)],6)=>[3,1,1,1]
[2,4,1,3,5,6]=>([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>[4,2]
[2,4,1,3,6,5]=>([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>[3,3]
[2,4,1,5,3,6]=>([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>[4,2]
[2,4,1,5,6,3]=>([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)=>[4,2]
[2,4,1,6,3,5]=>([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>[3,3]
[2,4,1,6,5,3]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>[3,2,1]
[2,4,3,1,5,6]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>[4,1,1]
[2,4,3,1,6,5]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>[3,2,1]
[2,4,3,5,1,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>[4,1,1]
[2,4,3,5,6,1]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>[4,1,1]
[2,4,3,6,1,5]=>([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>[3,2,1]
[2,4,3,6,5,1]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>[3,2,1]
[2,4,5,1,3,6]=>([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>[4,2]
[2,4,5,1,6,3]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)=>[4,2]
[2,4,5,3,1,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>[4,1,1]
[2,4,5,3,6,1]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>[4,1,1]
[2,4,5,6,1,3]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>[4,2]
[2,4,5,6,3,1]=>([(1,3),(1,5),(4,2),(5,4)],6)=>[4,1,1]
[2,4,6,1,3,5]=>([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)=>[3,3]
[2,4,6,1,5,3]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)=>[3,2,1]
[2,4,6,3,1,5]=>([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>[3,2,1]
[2,4,6,3,5,1]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>[3,2,1]
[2,4,6,5,1,3]=>([(0,5),(1,4),(1,5),(4,2),(4,3)],6)=>[3,2,1]
[2,4,6,5,3,1]=>([(1,4),(1,5),(5,2),(5,3)],6)=>[3,1,1,1]
[2,5,1,3,4,6]=>([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>[4,2]
[2,5,1,3,6,4]=>([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>[3,3]
[2,5,1,4,3,6]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>[3,2,1]
[2,5,1,4,6,3]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>[3,2,1]
[2,5,1,6,3,4]=>([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)=>[3,3]
[2,5,1,6,4,3]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>[3,2,1]
[2,5,3,1,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>[4,1,1]
[2,5,3,1,6,4]=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>[3,2,1]
[2,5,3,4,1,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>[4,1,1]
[2,5,3,4,6,1]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>[4,1,1]
[2,5,3,6,1,4]=>([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>[3,2,1]
[2,5,3,6,4,1]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>[3,2,1]
[2,5,4,1,3,6]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>[3,2,1]
[2,5,4,1,6,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>[3,2,1]
[2,5,4,3,1,6]=>([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>[3,1,1,1]
[2,5,4,3,6,1]=>([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>[3,1,1,1]
[2,5,4,6,1,3]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>[3,2,1]
[2,5,4,6,3,1]=>([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>[3,1,1,1]
[2,5,6,1,3,4]=>([(0,5),(1,4),(1,5),(4,2),(5,3)],6)=>[3,3]
[2,5,6,1,4,3]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)=>[3,2,1]
[2,5,6,3,1,4]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>[3,2,1]
[2,5,6,3,4,1]=>([(1,4),(1,5),(4,3),(5,2)],6)=>[3,2,1]
[2,5,6,4,1,3]=>([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>[3,2,1]
[2,5,6,4,3,1]=>([(1,3),(1,4),(1,5),(5,2)],6)=>[3,1,1,1]
[2,6,1,3,4,5]=>([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>[4,2]
[2,6,1,3,5,4]=>([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>[3,2,1]
[2,6,1,4,3,5]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)=>[3,2,1]
[2,6,1,4,5,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>[3,2,1]
[2,6,1,5,3,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>[3,2,1]
[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>[2,2,1,1]
[2,6,3,1,4,5]=>([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>[4,1,1]
[2,6,3,1,5,4]=>([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>[3,2,1]
[2,6,3,4,1,5]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>[4,1,1]
[2,6,3,4,5,1]=>([(1,3),(1,5),(4,2),(5,4)],6)=>[4,1,1]
[2,6,3,5,1,4]=>([(0,5),(1,3),(1,4),(4,2),(4,5)],6)=>[3,2,1]
[2,6,3,5,4,1]=>([(1,4),(1,5),(5,2),(5,3)],6)=>[3,1,1,1]
[2,6,4,1,3,5]=>([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>[3,2,1]
[2,6,4,1,5,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)=>[3,2,1]
[2,6,4,3,1,5]=>([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>[3,1,1,1]
[2,6,4,3,5,1]=>([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>[3,1,1,1]
[2,6,4,5,1,3]=>([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>[3,2,1]
[2,6,4,5,3,1]=>([(1,3),(1,4),(1,5),(5,2)],6)=>[3,1,1,1]
[2,6,5,1,3,4]=>([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>[3,2,1]
[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>[2,2,1,1]
[2,6,5,3,1,4]=>([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>[3,1,1,1]
[2,6,5,3,4,1]=>([(1,3),(1,4),(1,5),(5,2)],6)=>[3,1,1,1]
[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>[2,2,1,1]
[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>[2,1,1,1,1]
[3,1,2,4,5,6]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>[5,1]
[3,1,2,4,6,5]=>([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>[4,2]
[3,1,2,5,4,6]=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>[4,2]
[3,1,2,5,6,4]=>([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>[4,2]
[3,1,2,6,4,5]=>([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>[4,2]
[3,1,2,6,5,4]=>([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[3,2,1]
[3,1,4,2,5,6]=>([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>[4,2]
[3,1,4,2,6,5]=>([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>[3,3]
[3,1,4,5,2,6]=>([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>[4,2]
[3,1,4,5,6,2]=>([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>[4,2]
[3,1,4,6,2,5]=>([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>[3,3]
[3,1,4,6,5,2]=>([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>[3,2,1]
[3,1,5,2,4,6]=>([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>[4,2]
[3,1,5,2,6,4]=>([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>[3,3]
[3,1,5,4,2,6]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>[3,2,1]
[3,1,5,4,6,2]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)=>[3,2,1]
[3,1,5,6,2,4]=>([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)=>[3,3]
[3,1,5,6,4,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>[3,2,1]
[3,1,6,2,4,5]=>([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)=>[4,2]
[3,1,6,2,5,4]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>[3,2,1]
[3,1,6,4,2,5]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>[3,2,1]
[3,1,6,4,5,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>[3,2,1]
[3,1,6,5,2,4]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>[3,2,1]
[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>[2,2,1,1]
[3,2,1,4,5,6]=>([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>[4,1,1]
[3,2,1,4,6,5]=>([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>[3,2,1]
[3,2,1,5,4,6]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>[3,2,1]
[3,2,1,5,6,4]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>[3,2,1]
[3,2,1,6,4,5]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>[3,2,1]
[3,2,1,6,5,4]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,2]
[3,2,4,1,5,6]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>[4,1,1]
[3,2,4,1,6,5]=>([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>[3,2,1]
[3,2,4,5,1,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>[4,1,1]
[3,2,4,5,6,1]=>([(1,5),(2,5),(3,4),(5,3)],6)=>[4,1,1]
[3,2,4,6,1,5]=>([(0,5),(1,5),(2,4),(5,3),(5,4)],6)=>[3,2,1]
[3,2,4,6,5,1]=>([(1,5),(2,5),(5,3),(5,4)],6)=>[3,2,1]
[3,2,5,1,4,6]=>([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>[3,2,1]
[3,2,5,1,6,4]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>[3,2,1]
[3,2,5,4,1,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[3,2,1]
[3,2,5,4,6,1]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[3,2,1]
[3,2,5,6,1,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)=>[3,2,1]
[3,2,5,6,4,1]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>[3,2,1]
[3,2,6,1,4,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>[3,2,1]
[3,2,6,1,5,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,2]
[3,2,6,4,1,5]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>[3,2,1]
[3,2,6,4,5,1]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>[3,2,1]
[3,2,6,5,1,4]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,2]
[3,2,6,5,4,1]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,1,1]
[3,4,1,2,5,6]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)=>[4,2]
[3,4,1,2,6,5]=>([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)=>[3,3]
[3,4,1,5,2,6]=>([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>[4,2]
[3,4,1,5,6,2]=>([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>[4,2]
[3,4,1,6,2,5]=>([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)=>[3,3]
[3,4,1,6,5,2]=>([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)=>[3,2,1]
[3,4,2,1,5,6]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>[4,1,1]
[3,4,2,1,6,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>[3,2,1]
[3,4,2,5,1,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>[4,1,1]
[3,4,2,5,6,1]=>([(1,5),(2,3),(3,5),(5,4)],6)=>[4,1,1]
[3,4,2,6,1,5]=>([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>[3,2,1]
[3,4,2,6,5,1]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>[3,2,1]
[3,4,5,1,2,6]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>[4,2]
[3,4,5,1,6,2]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>[4,2]
[3,4,5,2,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>[4,1,1]
[3,4,5,2,6,1]=>([(1,5),(2,3),(3,4),(4,5)],6)=>[4,1,1]
[3,4,5,6,1,2]=>([(0,5),(1,3),(4,2),(5,4)],6)=>[4,2]
[3,4,5,6,2,1]=>([(2,3),(3,5),(5,4)],6)=>[4,1,1]
[3,4,6,1,2,5]=>([(0,3),(1,4),(3,5),(4,2),(4,5)],6)=>[3,3]
[3,4,6,1,5,2]=>([(0,4),(1,3),(1,5),(4,2),(4,5)],6)=>[3,2,1]
[3,4,6,2,1,5]=>([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>[3,2,1]
[3,4,6,2,5,1]=>([(1,5),(2,3),(3,4),(3,5)],6)=>[3,2,1]
[3,4,6,5,1,2]=>([(0,4),(1,5),(5,2),(5,3)],6)=>[3,2,1]
[3,4,6,5,2,1]=>([(2,3),(3,4),(3,5)],6)=>[3,1,1,1]
[3,5,1,2,4,6]=>([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>[4,2]
[3,5,1,2,6,4]=>([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)=>[3,3]
[3,5,1,4,2,6]=>([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)=>[3,2,1]
[3,5,1,4,6,2]=>([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)=>[3,2,1]
[3,5,1,6,2,4]=>([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)=>[3,3]
[3,5,1,6,4,2]=>([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)=>[3,2,1]
[3,5,2,1,4,6]=>([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>[3,2,1]
[3,5,2,1,6,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>[3,2,1]
[3,5,2,4,1,6]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[3,2,1]
[3,5,2,4,6,1]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[3,2,1]
[3,5,2,6,1,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>[3,2,1]
[3,5,2,6,4,1]=>([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>[3,2,1]
[3,5,4,1,2,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>[3,2,1]
[3,5,4,1,6,2]=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)=>[3,2,1]
[3,5,4,2,1,6]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[3,1,1,1]
[3,5,4,2,6,1]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[3,1,1,1]
[3,5,4,6,1,2]=>([(0,4),(1,2),(1,3),(2,5),(3,5)],6)=>[3,2,1]
[3,5,4,6,2,1]=>([(2,3),(2,4),(3,5),(4,5)],6)=>[3,1,1,1]
[3,5,6,1,2,4]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>[3,3]
[3,5,6,1,4,2]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>[3,2,1]
[3,5,6,2,1,4]=>([(0,5),(1,5),(2,3),(2,5),(3,4)],6)=>[3,2,1]
[3,5,6,2,4,1]=>([(1,5),(2,3),(2,5),(3,4)],6)=>[3,2,1]
[3,5,6,4,1,2]=>([(0,4),(1,3),(1,5),(5,2)],6)=>[3,2,1]
[3,5,6,4,2,1]=>([(2,3),(2,4),(4,5)],6)=>[3,1,1,1]
[3,6,1,2,4,5]=>([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>[4,2]
[3,6,1,2,5,4]=>([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)=>[3,2,1]
[3,6,1,4,2,5]=>([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)=>[3,2,1]
[3,6,1,4,5,2]=>([(0,4),(0,5),(1,3),(1,5),(5,2)],6)=>[3,2,1]
[3,6,1,5,2,4]=>([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)=>[3,2,1]
[3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>[2,2,1,1]
[3,6,2,1,4,5]=>([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>[3,2,1]
[3,6,2,1,5,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,2]
[3,6,2,4,1,5]=>([(0,5),(1,4),(2,3),(2,4),(4,5)],6)=>[3,2,1]
[3,6,2,4,5,1]=>([(1,5),(2,3),(2,5),(5,4)],6)=>[3,2,1]
[3,6,2,5,1,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,2]
[3,6,2,5,4,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,1,1]
[3,6,4,1,2,5]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>[3,2,1]
[3,6,4,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>[3,2,1]
[3,6,4,2,1,5]=>([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>[3,1,1,1]
[3,6,4,2,5,1]=>([(1,5),(2,3),(2,4),(4,5)],6)=>[3,1,1,1]
[3,6,4,5,1,2]=>([(0,4),(1,3),(1,5),(5,2)],6)=>[3,2,1]
[3,6,4,5,2,1]=>([(2,3),(2,4),(4,5)],6)=>[3,1,1,1]
[3,6,5,1,2,4]=>([(0,4),(1,2),(1,3),(1,5),(4,5)],6)=>[3,2,1]
[3,6,5,1,4,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>[2,2,1,1]
[3,6,5,2,1,4]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,1,1]
[3,6,5,2,4,1]=>([(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,1,1]
[3,6,5,4,1,2]=>([(0,5),(1,2),(1,3),(1,4)],6)=>[2,2,1,1]
[3,6,5,4,2,1]=>([(2,3),(2,4),(2,5)],6)=>[2,1,1,1,1]
[4,1,2,3,5,6]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>[5,1]
[4,1,2,3,6,5]=>([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)=>[4,2]
[4,1,2,5,3,6]=>([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)=>[4,2]
[4,1,2,5,6,3]=>([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>[4,2]
[4,1,2,6,3,5]=>([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>[4,2]
[4,1,2,6,5,3]=>([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)=>[3,2,1]
[4,1,3,2,5,6]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>[4,1,1]
[4,1,3,2,6,5]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>[3,2,1]
[4,1,3,5,2,6]=>([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>[4,1,1]
[4,1,3,5,6,2]=>([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>[4,1,1]
[4,1,3,6,2,5]=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>[3,2,1]
[4,1,3,6,5,2]=>([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>[3,2,1]
[4,1,5,2,3,6]=>([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>[4,2]
[4,1,5,2,6,3]=>([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)=>[3,3]
[4,1,5,3,2,6]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>[3,2,1]
[4,1,5,3,6,2]=>([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>[3,2,1]
[4,1,5,6,2,3]=>([(0,5),(1,4),(1,5),(4,2),(5,3)],6)=>[3,3]
[4,1,5,6,3,2]=>([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>[3,2,1]
[4,1,6,2,3,5]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)=>[4,2]
[4,1,6,2,5,3]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)=>[3,2,1]
[4,1,6,3,2,5]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>[3,2,1]
[4,1,6,3,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)=>[3,2,1]
[4,1,6,5,2,3]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)=>[3,2,1]
[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>[2,2,1,1]
[4,2,1,3,5,6]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>[4,1,1]
[4,2,1,3,6,5]=>([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>[3,2,1]
[4,2,1,5,3,6]=>([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>[3,2,1]
[4,2,1,5,6,3]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>[3,2,1]
[4,2,1,6,3,5]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>[3,2,1]
[4,2,1,6,5,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,2]
[4,2,3,1,5,6]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>[4,1,1]
[4,2,3,1,6,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>[3,2,1]
[4,2,3,5,1,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>[4,1,1]
[4,2,3,5,6,1]=>([(1,5),(2,3),(3,5),(5,4)],6)=>[4,1,1]
[4,2,3,6,1,5]=>([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>[3,2,1]
[4,2,3,6,5,1]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>[3,2,1]
[4,2,5,1,3,6]=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>[3,2,1]
[4,2,5,1,6,3]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)=>[3,2,1]
[4,2,5,3,1,6]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[3,2,1]
[4,2,5,3,6,1]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[3,2,1]
[4,2,5,6,1,3]=>([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>[3,2,1]
[4,2,5,6,3,1]=>([(1,5),(2,3),(2,5),(5,4)],6)=>[3,2,1]
[4,2,6,1,3,5]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)=>[3,2,1]
[4,2,6,1,5,3]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,2]
[4,2,6,3,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>[3,2,1]
[4,2,6,3,5,1]=>([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>[3,2,1]
[4,2,6,5,1,3]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,2]
[4,2,6,5,3,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,1,1]
[4,3,1,2,5,6]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>[4,1,1]
[4,3,1,2,6,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>[3,2,1]
[4,3,1,5,2,6]=>([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>[3,2,1]
[4,3,1,5,6,2]=>([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>[3,2,1]
[4,3,1,6,2,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>[3,2,1]
[4,3,1,6,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,2]
[4,3,2,1,5,6]=>([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>[3,1,1,1]
[4,3,2,1,6,5]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[4,3,2,5,1,6]=>([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>[3,1,1,1]
[4,3,2,5,6,1]=>([(1,5),(2,5),(3,5),(5,4)],6)=>[3,1,1,1]
[4,3,2,6,1,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[4,3,2,6,5,1]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[4,3,5,1,2,6]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>[3,2,1]
[4,3,5,1,6,2]=>([(0,4),(1,4),(2,3),(2,5),(4,5)],6)=>[3,2,1]
[4,3,5,2,1,6]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>[3,1,1,1]
[4,3,5,2,6,1]=>([(1,5),(2,4),(3,4),(4,5)],6)=>[3,1,1,1]
[4,3,5,6,1,2]=>([(0,5),(1,5),(2,3),(5,4)],6)=>[3,2,1]
[4,3,5,6,2,1]=>([(2,5),(3,5),(5,4)],6)=>[3,1,1,1]
[4,3,6,1,2,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>[3,2,1]
[4,3,6,1,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>[2,2,2]
[4,3,6,2,1,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[4,3,6,2,5,1]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[4,3,6,5,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>[2,2,2]
[4,3,6,5,2,1]=>([(2,4),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[4,5,1,2,3,6]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>[4,2]
[4,5,1,2,6,3]=>([(0,3),(1,4),(3,5),(4,2),(4,5)],6)=>[3,3]
[4,5,1,3,2,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>[3,2,1]
[4,5,1,3,6,2]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>[3,2,1]
[4,5,1,6,2,3]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>[3,3]
[4,5,1,6,3,2]=>([(0,4),(1,2),(1,3),(1,5),(4,5)],6)=>[3,2,1]
[4,5,2,1,3,6]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>[3,2,1]
[4,5,2,1,6,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>[3,2,1]
[4,5,2,3,1,6]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>[3,2,1]
[4,5,2,3,6,1]=>([(1,4),(2,3),(3,5),(4,5)],6)=>[3,2,1]
[4,5,2,6,1,3]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>[3,2,1]
[4,5,2,6,3,1]=>([(1,4),(2,3),(2,5),(4,5)],6)=>[3,2,1]
[4,5,3,1,2,6]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>[3,2,1]
[4,5,3,1,6,2]=>([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>[3,2,1]
[4,5,3,2,1,6]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>[3,1,1,1]
[4,5,3,2,6,1]=>([(1,5),(2,5),(3,4),(4,5)],6)=>[3,1,1,1]
[4,5,3,6,1,2]=>([(0,5),(1,3),(2,4),(4,5)],6)=>[3,2,1]
[4,5,3,6,2,1]=>([(2,5),(3,4),(4,5)],6)=>[3,1,1,1]
[4,5,6,1,2,3]=>([(0,5),(1,4),(4,2),(5,3)],6)=>[3,3]
[4,5,6,1,3,2]=>([(0,5),(1,3),(1,4),(5,2)],6)=>[3,2,1]
[4,5,6,2,1,3]=>([(0,5),(1,5),(2,3),(3,4)],6)=>[3,2,1]
[4,5,6,2,3,1]=>([(1,3),(2,4),(4,5)],6)=>[3,2,1]
[4,5,6,3,1,2]=>([(1,3),(2,4),(4,5)],6)=>[3,2,1]
[4,5,6,3,2,1]=>([(3,4),(4,5)],6)=>[3,1,1,1]
[4,6,1,2,3,5]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>[4,2]
[4,6,1,2,5,3]=>([(0,4),(1,3),(1,5),(4,2),(4,5)],6)=>[3,2,1]
[4,6,1,3,2,5]=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)=>[3,2,1]
[4,6,1,3,5,2]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>[3,2,1]
[4,6,1,5,2,3]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>[3,2,1]
[4,6,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>[2,2,1,1]
[4,6,2,1,3,5]=>([(0,4),(1,4),(2,3),(2,5),(4,5)],6)=>[3,2,1]
[4,6,2,1,5,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>[2,2,2]
[4,6,2,3,1,5]=>([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>[3,2,1]
[4,6,2,3,5,1]=>([(1,4),(2,3),(2,5),(4,5)],6)=>[3,2,1]
[4,6,2,5,1,3]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>[2,2,2]
[4,6,2,5,3,1]=>([(1,4),(1,5),(2,3),(2,5)],6)=>[2,2,1,1]
[4,6,3,1,2,5]=>([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>[3,2,1]
[4,6,3,1,5,2]=>([(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>[2,2,2]
[4,6,3,2,1,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[4,6,3,2,5,1]=>([(1,5),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[4,6,3,5,1,2]=>([(0,5),(1,3),(2,4),(2,5)],6)=>[2,2,2]
[4,6,3,5,2,1]=>([(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[4,6,5,1,2,3]=>([(0,5),(1,3),(1,4),(5,2)],6)=>[3,2,1]
[4,6,5,1,3,2]=>([(0,4),(0,5),(1,2),(1,3)],6)=>[2,2,1,1]
[4,6,5,2,1,3]=>([(0,5),(1,5),(2,3),(2,4)],6)=>[2,2,1,1]
[4,6,5,2,3,1]=>([(1,5),(2,3),(2,4)],6)=>[2,2,1,1]
[4,6,5,3,1,2]=>([(1,5),(2,3),(2,4)],6)=>[2,2,1,1]
[4,6,5,3,2,1]=>([(3,4),(3,5)],6)=>[2,1,1,1,1]
[5,1,2,3,4,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>[5,1]
[5,1,2,3,6,4]=>([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>[4,2]
[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>[4,1,1]
[5,1,2,4,6,3]=>([(0,5),(1,4),(3,5),(4,2),(4,3)],6)=>[4,1,1]
[5,1,2,6,3,4]=>([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>[4,2]
[5,1,2,6,4,3]=>([(0,5),(1,4),(4,2),(4,3),(4,5)],6)=>[3,2,1]
[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>[4,1,1]
[5,1,3,2,6,4]=>([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>[3,2,1]
[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>[4,1,1]
[5,1,3,4,6,2]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>[4,1,1]
[5,1,3,6,2,4]=>([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>[3,2,1]
[5,1,3,6,4,2]=>([(0,5),(1,3),(1,4),(4,2),(4,5)],6)=>[3,2,1]
[5,1,4,2,3,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>[4,1,1]
[5,1,4,2,6,3]=>([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>[3,2,1]
[5,1,4,3,2,6]=>([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>[3,1,1,1]
[5,1,4,3,6,2]=>([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>[3,1,1,1]
[5,1,4,6,2,3]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>[3,2,1]
[5,1,4,6,3,2]=>([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>[3,1,1,1]
[5,1,6,2,3,4]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>[4,2]
[5,1,6,2,4,3]=>([(0,5),(1,4),(1,5),(4,2),(4,3)],6)=>[3,2,1]
[5,1,6,3,2,4]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>[3,2,1]
[5,1,6,3,4,2]=>([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>[3,2,1]
[5,1,6,4,2,3]=>([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>[3,2,1]
[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>[2,2,1,1]
[5,2,1,3,4,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>[4,1,1]
[5,2,1,3,6,4]=>([(0,5),(1,5),(2,4),(5,3),(5,4)],6)=>[3,2,1]
[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[3,2,1]
[5,2,1,4,6,3]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>[3,2,1]
[5,2,1,6,3,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)=>[3,2,1]
[5,2,1,6,4,3]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,2]
[5,2,3,1,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>[4,1,1]
[5,2,3,1,6,4]=>([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>[3,2,1]
[5,2,3,4,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>[4,1,1]
[5,2,3,4,6,1]=>([(1,5),(2,3),(3,4),(4,5)],6)=>[4,1,1]
[5,2,3,6,1,4]=>([(0,5),(1,4),(2,3),(3,4),(3,5)],6)=>[3,2,1]
[5,2,3,6,4,1]=>([(1,5),(2,3),(3,4),(3,5)],6)=>[3,2,1]
[5,2,4,1,3,6]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[3,2,1]
[5,2,4,1,6,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>[3,2,1]
[5,2,4,3,1,6]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[3,1,1,1]
[5,2,4,3,6,1]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[3,1,1,1]
[5,2,4,6,1,3]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>[3,2,1]
[5,2,4,6,3,1]=>([(1,5),(2,3),(2,4),(4,5)],6)=>[3,1,1,1]
[5,2,6,1,3,4]=>([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>[3,2,1]
[5,2,6,1,4,3]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,2]
[5,2,6,3,1,4]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>[3,2,1]
[5,2,6,3,4,1]=>([(1,5),(2,3),(2,5),(3,4)],6)=>[3,2,1]
[5,2,6,4,1,3]=>([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>[2,2,2]
[5,2,6,4,3,1]=>([(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,1,1]
[5,3,1,2,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>[4,1,1]
[5,3,1,2,6,4]=>([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>[3,2,1]
[5,3,1,4,2,6]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[3,2,1]
[5,3,1,4,6,2]=>([(0,5),(1,4),(2,3),(2,4),(4,5)],6)=>[3,2,1]
[5,3,1,6,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>[3,2,1]
[5,3,1,6,4,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,2]
[5,3,2,1,4,6]=>([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>[3,1,1,1]
[5,3,2,1,6,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[5,3,2,4,1,6]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>[3,1,1,1]
[5,3,2,4,6,1]=>([(1,5),(2,4),(3,4),(4,5)],6)=>[3,1,1,1]
[5,3,2,6,1,4]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[5,3,2,6,4,1]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[5,3,4,1,2,6]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>[3,2,1]
[5,3,4,1,6,2]=>([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>[3,2,1]
[5,3,4,2,1,6]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>[3,1,1,1]
[5,3,4,2,6,1]=>([(1,5),(2,5),(3,4),(4,5)],6)=>[3,1,1,1]
[5,3,4,6,1,2]=>([(0,5),(1,3),(2,4),(4,5)],6)=>[3,2,1]
[5,3,4,6,2,1]=>([(2,5),(3,4),(4,5)],6)=>[3,1,1,1]
[5,3,6,1,2,4]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>[3,2,1]
[5,3,6,1,4,2]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>[2,2,2]
[5,3,6,2,1,4]=>([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>[2,2,1,1]
[5,3,6,2,4,1]=>([(1,5),(2,4),(3,4),(3,5)],6)=>[2,2,1,1]
[5,3,6,4,1,2]=>([(0,5),(1,3),(2,4),(2,5)],6)=>[2,2,2]
[5,3,6,4,2,1]=>([(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[5,4,1,2,3,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>[4,1,1]
[5,4,1,2,6,3]=>([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>[3,2,1]
[5,4,1,3,2,6]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[3,1,1,1]
[5,4,1,3,6,2]=>([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>[3,1,1,1]
[5,4,1,6,2,3]=>([(0,5),(1,5),(2,3),(2,5),(3,4)],6)=>[3,2,1]
[5,4,1,6,3,2]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,1,1]
[5,4,2,1,3,6]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>[3,1,1,1]
[5,4,2,1,6,3]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[5,4,2,3,1,6]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>[3,1,1,1]
[5,4,2,3,6,1]=>([(1,5),(2,5),(3,4),(4,5)],6)=>[3,1,1,1]
[5,4,2,6,1,3]=>([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>[2,2,1,1]
[5,4,2,6,3,1]=>([(1,5),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[5,4,3,1,2,6]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>[3,1,1,1]
[5,4,3,1,6,2]=>([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[5,4,3,2,1,6]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>[2,1,1,1,1]
[5,4,3,2,6,1]=>([(1,5),(2,5),(3,5),(4,5)],6)=>[2,1,1,1,1]
[5,4,3,6,1,2]=>([(0,5),(1,5),(2,5),(3,4)],6)=>[2,2,1,1]
[5,4,3,6,2,1]=>([(2,5),(3,5),(4,5)],6)=>[2,1,1,1,1]
[5,4,6,1,2,3]=>([(0,5),(1,5),(2,3),(3,4)],6)=>[3,2,1]
[5,4,6,1,3,2]=>([(0,5),(1,5),(2,3),(2,4)],6)=>[2,2,1,1]
[5,4,6,2,1,3]=>([(0,5),(1,5),(2,4),(3,4)],6)=>[2,2,1,1]
[5,4,6,2,3,1]=>([(1,5),(2,5),(3,4)],6)=>[2,2,1,1]
[5,4,6,3,1,2]=>([(1,5),(2,5),(3,4)],6)=>[2,2,1,1]
[5,4,6,3,2,1]=>([(3,5),(4,5)],6)=>[2,1,1,1,1]
[5,6,1,2,3,4]=>([(0,5),(1,3),(4,2),(5,4)],6)=>[4,2]
[5,6,1,2,4,3]=>([(0,4),(1,5),(5,2),(5,3)],6)=>[3,2,1]
[5,6,1,3,2,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5)],6)=>[3,2,1]
[5,6,1,3,4,2]=>([(0,4),(1,3),(1,5),(5,2)],6)=>[3,2,1]
[5,6,1,4,2,3]=>([(0,4),(1,3),(1,5),(5,2)],6)=>[3,2,1]
[5,6,1,4,3,2]=>([(0,5),(1,2),(1,3),(1,4)],6)=>[2,2,1,1]
[5,6,2,1,3,4]=>([(0,5),(1,5),(2,3),(5,4)],6)=>[3,2,1]
[5,6,2,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>[2,2,2]
[5,6,2,3,1,4]=>([(0,5),(1,3),(2,4),(4,5)],6)=>[3,2,1]
[5,6,2,3,4,1]=>([(1,3),(2,4),(4,5)],6)=>[3,2,1]
[5,6,2,4,1,3]=>([(0,5),(1,3),(2,4),(2,5)],6)=>[2,2,2]
[5,6,2,4,3,1]=>([(1,5),(2,3),(2,4)],6)=>[2,2,1,1]
[5,6,3,1,2,4]=>([(0,5),(1,3),(2,4),(4,5)],6)=>[3,2,1]
[5,6,3,1,4,2]=>([(0,5),(1,3),(2,4),(2,5)],6)=>[2,2,2]
[5,6,3,2,1,4]=>([(0,5),(1,5),(2,5),(3,4)],6)=>[2,2,1,1]
[5,6,3,2,4,1]=>([(1,5),(2,5),(3,4)],6)=>[2,2,1,1]
[5,6,3,4,1,2]=>([(0,5),(1,4),(2,3)],6)=>[2,2,2]
[5,6,3,4,2,1]=>([(2,5),(3,4)],6)=>[2,2,1,1]
[5,6,4,1,2,3]=>([(1,3),(2,4),(4,5)],6)=>[3,2,1]
[5,6,4,1,3,2]=>([(1,5),(2,3),(2,4)],6)=>[2,2,1,1]
[5,6,4,2,1,3]=>([(1,5),(2,5),(3,4)],6)=>[2,2,1,1]
[5,6,4,2,3,1]=>([(2,5),(3,4)],6)=>[2,2,1,1]
[5,6,4,3,1,2]=>([(2,5),(3,4)],6)=>[2,2,1,1]
[5,6,4,3,2,1]=>([(4,5)],6)=>[2,1,1,1,1]
[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6)=>[5,1]
[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6)=>[4,1,1]
[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>[4,1,1]
[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6)=>[4,1,1]
[6,1,2,5,3,4]=>([(1,5),(4,3),(5,2),(5,4)],6)=>[4,1,1]
[6,1,2,5,4,3]=>([(1,5),(5,2),(5,3),(5,4)],6)=>[3,1,1,1]
[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>[4,1,1]
[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>[3,2,1]
[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>[4,1,1]
[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6)=>[4,1,1]
[6,1,3,5,2,4]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>[3,2,1]
[6,1,3,5,4,2]=>([(1,4),(1,5),(5,2),(5,3)],6)=>[3,1,1,1]
[6,1,4,2,3,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>[4,1,1]
[6,1,4,2,5,3]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>[3,2,1]
[6,1,4,3,2,5]=>([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>[3,1,1,1]
[6,1,4,3,5,2]=>([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>[3,1,1,1]
[6,1,4,5,2,3]=>([(1,4),(1,5),(4,3),(5,2)],6)=>[3,2,1]
[6,1,4,5,3,2]=>([(1,3),(1,4),(1,5),(5,2)],6)=>[3,1,1,1]
[6,1,5,2,3,4]=>([(1,3),(1,5),(4,2),(5,4)],6)=>[4,1,1]
[6,1,5,2,4,3]=>([(1,4),(1,5),(5,2),(5,3)],6)=>[3,1,1,1]
[6,1,5,3,2,4]=>([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>[3,1,1,1]
[6,1,5,3,4,2]=>([(1,3),(1,4),(1,5),(5,2)],6)=>[3,1,1,1]
[6,1,5,4,2,3]=>([(1,3),(1,4),(1,5),(5,2)],6)=>[3,1,1,1]
[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>[2,1,1,1,1]
[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6)=>[4,1,1]
[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6)=>[3,2,1]
[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[3,2,1]
[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>[3,2,1]
[6,2,1,5,3,4]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>[3,2,1]
[6,2,1,5,4,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,1,1]
[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6)=>[4,1,1]
[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>[3,2,1]
[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6)=>[4,1,1]
[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6)=>[4,1,1]
[6,2,3,5,1,4]=>([(1,5),(2,3),(3,4),(3,5)],6)=>[3,2,1]
[6,2,3,5,4,1]=>([(2,3),(3,4),(3,5)],6)=>[3,1,1,1]
[6,2,4,1,3,5]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[3,2,1]
[6,2,4,1,5,3]=>([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>[3,2,1]
[6,2,4,3,1,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[3,1,1,1]
[6,2,4,3,5,1]=>([(2,3),(2,4),(3,5),(4,5)],6)=>[3,1,1,1]
[6,2,4,5,1,3]=>([(1,5),(2,3),(2,5),(3,4)],6)=>[3,2,1]
[6,2,4,5,3,1]=>([(2,3),(2,4),(4,5)],6)=>[3,1,1,1]
[6,2,5,1,3,4]=>([(1,5),(2,3),(2,5),(5,4)],6)=>[3,2,1]
[6,2,5,1,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,1,1]
[6,2,5,3,1,4]=>([(1,5),(2,3),(2,4),(4,5)],6)=>[3,1,1,1]
[6,2,5,3,4,1]=>([(2,3),(2,4),(4,5)],6)=>[3,1,1,1]
[6,2,5,4,1,3]=>([(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,1,1]
[6,2,5,4,3,1]=>([(2,3),(2,4),(2,5)],6)=>[2,1,1,1,1]
[6,3,1,2,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6)=>[4,1,1]
[6,3,1,2,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>[3,2,1]
[6,3,1,4,2,5]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[3,2,1]
[6,3,1,4,5,2]=>([(1,5),(2,3),(2,5),(5,4)],6)=>[3,2,1]
[6,3,1,5,2,4]=>([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>[3,2,1]
[6,3,1,5,4,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,1,1]
[6,3,2,1,4,5]=>([(1,5),(2,5),(3,5),(5,4)],6)=>[3,1,1,1]
[6,3,2,1,5,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[6,3,2,4,1,5]=>([(1,5),(2,4),(3,4),(4,5)],6)=>[3,1,1,1]
[6,3,2,4,5,1]=>([(2,5),(3,5),(5,4)],6)=>[3,1,1,1]
[6,3,2,5,1,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[6,3,2,5,4,1]=>([(2,4),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[6,3,4,1,2,5]=>([(1,4),(2,3),(3,5),(4,5)],6)=>[3,2,1]
[6,3,4,1,5,2]=>([(1,4),(2,3),(2,5),(4,5)],6)=>[3,2,1]
[6,3,4,2,1,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>[3,1,1,1]
[6,3,4,2,5,1]=>([(2,5),(3,4),(4,5)],6)=>[3,1,1,1]
[6,3,4,5,1,2]=>([(1,3),(2,4),(4,5)],6)=>[3,2,1]
[6,3,4,5,2,1]=>([(3,4),(4,5)],6)=>[3,1,1,1]
[6,3,5,1,2,4]=>([(1,4),(2,3),(2,5),(4,5)],6)=>[3,2,1]
[6,3,5,1,4,2]=>([(1,4),(1,5),(2,3),(2,5)],6)=>[2,2,1,1]
[6,3,5,2,1,4]=>([(1,5),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[6,3,5,2,4,1]=>([(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[6,3,5,4,1,2]=>([(1,5),(2,3),(2,4)],6)=>[2,2,1,1]
[6,3,5,4,2,1]=>([(3,4),(3,5)],6)=>[2,1,1,1,1]
[6,4,1,2,3,5]=>([(1,5),(2,3),(3,4),(4,5)],6)=>[4,1,1]
[6,4,1,2,5,3]=>([(1,5),(2,3),(3,4),(3,5)],6)=>[3,2,1]
[6,4,1,3,2,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[3,1,1,1]
[6,4,1,3,5,2]=>([(1,5),(2,3),(2,4),(4,5)],6)=>[3,1,1,1]
[6,4,1,5,2,3]=>([(1,5),(2,3),(2,5),(3,4)],6)=>[3,2,1]
[6,4,1,5,3,2]=>([(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,1,1]
[6,4,2,1,3,5]=>([(1,5),(2,4),(3,4),(4,5)],6)=>[3,1,1,1]
[6,4,2,1,5,3]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[6,4,2,3,1,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>[3,1,1,1]
[6,4,2,3,5,1]=>([(2,5),(3,4),(4,5)],6)=>[3,1,1,1]
[6,4,2,5,1,3]=>([(1,5),(2,4),(3,4),(3,5)],6)=>[2,2,1,1]
[6,4,2,5,3,1]=>([(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[6,4,3,1,2,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>[3,1,1,1]
[6,4,3,1,5,2]=>([(1,5),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[6,4,3,2,1,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>[2,1,1,1,1]
[6,4,3,2,5,1]=>([(2,5),(3,5),(4,5)],6)=>[2,1,1,1,1]
[6,4,3,5,1,2]=>([(1,5),(2,5),(3,4)],6)=>[2,2,1,1]
[6,4,3,5,2,1]=>([(3,5),(4,5)],6)=>[2,1,1,1,1]
[6,4,5,1,2,3]=>([(1,3),(2,4),(4,5)],6)=>[3,2,1]
[6,4,5,1,3,2]=>([(1,5),(2,3),(2,4)],6)=>[2,2,1,1]
[6,4,5,2,1,3]=>([(1,5),(2,5),(3,4)],6)=>[2,2,1,1]
[6,4,5,2,3,1]=>([(2,5),(3,4)],6)=>[2,2,1,1]
[6,4,5,3,1,2]=>([(2,5),(3,4)],6)=>[2,2,1,1]
[6,4,5,3,2,1]=>([(4,5)],6)=>[2,1,1,1,1]
[6,5,1,2,3,4]=>([(2,3),(3,5),(5,4)],6)=>[4,1,1]
[6,5,1,2,4,3]=>([(2,3),(3,4),(3,5)],6)=>[3,1,1,1]
[6,5,1,3,2,4]=>([(2,3),(2,4),(3,5),(4,5)],6)=>[3,1,1,1]
[6,5,1,3,4,2]=>([(2,3),(2,4),(4,5)],6)=>[3,1,1,1]
[6,5,1,4,2,3]=>([(2,3),(2,4),(4,5)],6)=>[3,1,1,1]
[6,5,1,4,3,2]=>([(2,3),(2,4),(2,5)],6)=>[2,1,1,1,1]
[6,5,2,1,3,4]=>([(2,5),(3,5),(5,4)],6)=>[3,1,1,1]
[6,5,2,1,4,3]=>([(2,4),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[6,5,2,3,1,4]=>([(2,5),(3,4),(4,5)],6)=>[3,1,1,1]
[6,5,2,3,4,1]=>([(3,4),(4,5)],6)=>[3,1,1,1]
[6,5,2,4,1,3]=>([(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[6,5,2,4,3,1]=>([(3,4),(3,5)],6)=>[2,1,1,1,1]
[6,5,3,1,2,4]=>([(2,5),(3,4),(4,5)],6)=>[3,1,1,1]
[6,5,3,1,4,2]=>([(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
[6,5,3,2,1,4]=>([(2,5),(3,5),(4,5)],6)=>[2,1,1,1,1]
[6,5,3,2,4,1]=>([(3,5),(4,5)],6)=>[2,1,1,1,1]
[6,5,3,4,1,2]=>([(2,5),(3,4)],6)=>[2,2,1,1]
[6,5,3,4,2,1]=>([(4,5)],6)=>[2,1,1,1,1]
[6,5,4,1,2,3]=>([(3,4),(4,5)],6)=>[3,1,1,1]
[6,5,4,1,3,2]=>([(3,4),(3,5)],6)=>[2,1,1,1,1]
[6,5,4,2,1,3]=>([(3,5),(4,5)],6)=>[2,1,1,1,1]
[6,5,4,2,3,1]=>([(4,5)],6)=>[2,1,1,1,1]
[6,5,4,3,1,2]=>([(4,5)],6)=>[2,1,1,1,1]
[6,5,4,3,2,1]=>([],6)=>[1,1,1,1,1,1]
[1,2,3,4,5,6,7]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>[7]
[1,2,3,4,5,7,6]=>([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7)=>[6,1]
[1,2,3,4,6,5,7]=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>[6,1]
[1,2,3,4,6,7,5]=>([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7)=>[6,1]
[1,2,3,4,7,5,6]=>([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7)=>[6,1]
[1,2,3,4,7,6,5]=>([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7)=>[5,1,1]
[1,2,3,5,4,6,7]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>[6,1]
[1,2,3,5,4,7,6]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7)=>[5,2]
[1,2,3,5,6,4,7]=>([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7)=>[6,1]
[1,2,3,5,6,7,4]=>([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7)=>[6,1]
[1,2,3,5,7,4,6]=>([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7)=>[5,2]
[1,2,3,5,7,6,4]=>([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7)=>[5,1,1]
[1,2,3,6,4,5,7]=>([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7)=>[6,1]
[1,2,3,6,4,7,5]=>([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7)=>[5,2]
[1,2,3,6,5,4,7]=>([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>[5,1,1]
[1,2,3,6,5,7,4]=>([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>[5,1,1]
[1,2,3,6,7,4,5]=>([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7)=>[5,2]
[1,2,3,6,7,5,4]=>([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7)=>[5,1,1]
[1,2,3,7,4,5,6]=>([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7)=>[6,1]
[1,2,3,7,4,6,5]=>([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7)=>[5,1,1]
[1,2,3,7,5,4,6]=>([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>[5,1,1]
[1,2,3,7,5,6,4]=>([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7)=>[5,1,1]
[1,2,3,7,6,4,5]=>([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7)=>[5,1,1]
[1,2,3,7,6,5,4]=>([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>[4,1,1,1]
[1,2,4,3,5,6,7]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>[6,1]
[1,2,4,3,5,7,6]=>([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7)=>[5,2]
[1,2,4,3,6,5,7]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7)=>[5,2]
[1,2,4,3,6,7,5]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7)=>[5,2]
[1,2,4,3,7,5,6]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7)=>[5,2]
[1,2,4,3,7,6,5]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7)=>[4,2,1]
[1,2,4,5,3,6,7]=>([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>[6,1]
[1,2,4,5,3,7,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7)=>[5,2]
[1,2,4,5,6,3,7]=>([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7)=>[6,1]
[1,2,4,5,6,7,3]=>([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7)=>[6,1]
[1,2,4,5,7,3,6]=>([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7)=>[5,2]
[1,2,4,5,7,6,3]=>([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7)=>[5,1,1]
[1,2,4,6,3,5,7]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>[5,2]
[1,2,4,6,3,7,5]=>([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7)=>[5,2]
[1,2,4,6,5,3,7]=>([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>[5,1,1]
[1,2,4,6,5,7,3]=>([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>[5,1,1]
[1,2,4,6,7,3,5]=>([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7)=>[5,2]
[1,2,4,6,7,5,3]=>([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7)=>[5,1,1]
[1,2,4,7,3,5,6]=>([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7)=>[5,2]
[1,2,4,7,3,6,5]=>([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3)],7)=>[4,2,1]
[1,2,4,7,5,3,6]=>([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7)=>[5,1,1]
[1,2,4,7,5,6,3]=>([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7)=>[5,1,1]
[1,2,4,7,6,3,5]=>([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],7)=>[4,2,1]
[1,2,4,7,6,5,3]=>([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7)=>[4,1,1,1]
[1,2,5,3,4,6,7]=>([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>[6,1]
[1,2,5,3,4,7,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7)=>[5,2]
[1,2,5,3,6,4,7]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>[5,2]
[1,2,5,3,6,7,4]=>([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7)=>[5,2]
[1,2,5,3,7,4,6]=>([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7)=>[5,2]
[1,2,5,3,7,6,4]=>([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3)],7)=>[4,2,1]
[1,2,5,4,3,6,7]=>([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)=>[5,1,1]
[1,2,5,4,3,7,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>[4,2,1]
[1,2,5,4,6,3,7]=>([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)=>[5,1,1]
[1,2,5,4,6,7,3]=>([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)=>[5,1,1]
[1,2,5,4,7,3,6]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>[4,2,1]
[1,2,5,4,7,6,3]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>[4,2,1]
[1,2,5,6,3,4,7]=>([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)=>[5,2]
[1,2,5,6,3,7,4]=>([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7)=>[5,2]
[1,2,5,6,4,3,7]=>([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>[5,1,1]
[1,2,5,6,4,7,3]=>([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>[5,1,1]
[1,2,5,6,7,3,4]=>([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7)=>[5,2]
[1,2,5,6,7,4,3]=>([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7)=>[5,1,1]
[1,2,5,7,3,4,6]=>([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7)=>[5,2]
[1,2,5,7,3,6,4]=>([(0,5),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4)],7)=>[4,2,1]
[1,2,5,7,4,3,6]=>([(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3),(5,4)],7)=>[4,2,1]
[1,2,5,7,4,6,3]=>([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7)=>[4,2,1]
[1,2,5,7,6,3,4]=>([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7)=>[4,2,1]
[1,2,5,7,6,4,3]=>([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)=>[4,1,1,1]
[1,2,6,3,4,5,7]=>([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7)=>[6,1]
[1,2,6,3,4,7,5]=>([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7)=>[5,2]
[1,2,6,3,5,4,7]=>([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>[5,1,1]
[1,2,6,3,5,7,4]=>([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7)=>[5,1,1]
[1,2,6,3,7,4,5]=>([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7)=>[5,2]
[1,2,6,3,7,5,4]=>([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],7)=>[4,2,1]
[1,2,6,4,3,5,7]=>([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)=>[5,1,1]
[1,2,6,4,3,7,5]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>[4,2,1]
[1,2,6,4,5,3,7]=>([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>[5,1,1]
[1,2,6,4,5,7,3]=>([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>[5,1,1]
[1,2,6,4,7,3,5]=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>[4,2,1]
[1,2,6,4,7,5,3]=>([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7)=>[4,2,1]
[1,2,6,5,3,4,7]=>([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>[5,1,1]
[1,2,6,5,3,7,4]=>([(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3),(5,4)],7)=>[4,2,1]
[1,2,6,5,4,3,7]=>([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
[1,2,6,5,4,7,3]=>([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
[1,2,6,5,7,3,4]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4)],7)=>[4,2,1]
[1,2,6,5,7,4,3]=>([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
[1,2,6,7,3,4,5]=>([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7)=>[5,2]
[1,2,6,7,3,5,4]=>([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7)=>[4,2,1]
[1,2,6,7,4,3,5]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4)],7)=>[4,2,1]
[1,2,6,7,4,5,3]=>([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7)=>[4,2,1]
[1,2,6,7,5,3,4]=>([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7)=>[4,2,1]
[1,2,6,7,5,4,3]=>([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)=>[4,1,1,1]
[1,2,7,3,4,5,6]=>([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7)=>[6,1]
[1,2,7,3,4,6,5]=>([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7)=>[5,1,1]
[1,2,7,3,5,4,6]=>([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>[5,1,1]
[1,2,7,3,5,6,4]=>([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7)=>[5,1,1]
[1,2,7,3,6,4,5]=>([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7)=>[5,1,1]
[1,2,7,3,6,5,4]=>([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7)=>[4,1,1,1]
[1,2,7,4,3,5,6]=>([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)=>[5,1,1]
[1,2,7,4,3,6,5]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>[4,2,1]
[1,2,7,4,5,3,6]=>([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>[5,1,1]
[1,2,7,4,5,6,3]=>([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7)=>[5,1,1]
[1,2,7,4,6,3,5]=>([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7)=>[4,2,1]
[1,2,7,4,6,5,3]=>([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)=>[4,1,1,1]
[1,2,7,5,3,4,6]=>([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>[5,1,1]
[1,2,7,5,3,6,4]=>([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7)=>[4,2,1]
[1,2,7,5,4,3,6]=>([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
[1,2,7,5,4,6,3]=>([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
[1,2,7,5,6,3,4]=>([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7)=>[4,2,1]
[1,2,7,5,6,4,3]=>([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)=>[4,1,1,1]
[1,2,7,6,3,4,5]=>([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7)=>[5,1,1]
[1,2,7,6,3,5,4]=>([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)=>[4,1,1,1]
[1,2,7,6,4,3,5]=>([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
[1,2,7,6,4,5,3]=>([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)=>[4,1,1,1]
[1,2,7,6,5,3,4]=>([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)=>[4,1,1,1]
[1,2,7,6,5,4,3]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>[3,1,1,1,1]
[1,3,2,4,5,6,7]=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>[6,1]
[1,3,2,4,5,7,6]=>([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7)=>[5,2]
[1,3,2,4,6,5,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>[5,2]
[1,3,2,4,6,7,5]=>([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7)=>[5,2]
[1,3,2,4,7,5,6]=>([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7)=>[5,2]
[1,3,2,4,7,6,5]=>([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)=>[4,2,1]
[1,3,2,5,4,6,7]=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)=>[5,2]
[1,3,2,5,4,7,6]=>([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>[4,3]
[1,3,2,5,6,4,7]=>([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7)=>[5,2]
[1,3,2,5,6,7,4]=>([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7)=>[5,2]
[1,3,2,5,7,4,6]=>([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>[4,3]
[1,3,2,5,7,6,4]=>([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>[4,2,1]
[1,3,2,6,4,5,7]=>([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7)=>[5,2]
[1,3,2,6,4,7,5]=>([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>[4,3]
[1,3,2,6,5,4,7]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[1,3,2,6,5,7,4]=>([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>[4,2,1]
[1,3,2,6,7,4,5]=>([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)=>[4,3]
[1,3,2,6,7,5,4]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>[4,2,1]
[1,3,2,7,4,5,6]=>([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7)=>[5,2]
[1,3,2,7,4,6,5]=>([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>[4,2,1]
[1,3,2,7,5,4,6]=>([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>[4,2,1]
[1,3,2,7,5,6,4]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>[4,2,1]
[1,3,2,7,6,4,5]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>[4,2,1]
[1,3,2,7,6,5,4]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[3,2,1,1]
[1,3,4,2,5,6,7]=>([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7)=>[6,1]
[1,3,4,2,5,7,6]=>([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>[5,2]
[1,3,4,2,6,5,7]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7)=>[5,2]
[1,3,4,2,6,7,5]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7)=>[5,2]
[1,3,4,2,7,5,6]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7)=>[5,2]
[1,3,4,2,7,6,5]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7)=>[4,2,1]
[1,3,4,5,2,6,7]=>([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7)=>[6,1]
[1,3,4,5,2,7,6]=>([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7)=>[5,2]
[1,3,4,5,6,2,7]=>([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7)=>[6,1]
[1,3,4,5,6,7,2]=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>[6,1]
[1,3,4,5,7,2,6]=>([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7)=>[5,2]
[1,3,4,5,7,6,2]=>([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7)=>[5,1,1]
[1,3,4,6,2,5,7]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)=>[5,2]
[1,3,4,6,2,7,5]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7)=>[5,2]
[1,3,4,6,5,2,7]=>([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)=>[5,1,1]
[1,3,4,6,5,7,2]=>([(0,3),(0,4),(1,6),(2,6),(4,5),(5,1),(5,2)],7)=>[5,1,1]
[1,3,4,6,7,2,5]=>([(0,2),(0,5),(2,6),(3,1),(4,3),(4,6),(5,4)],7)=>[5,2]
[1,3,4,6,7,5,2]=>([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7)=>[5,1,1]
[1,3,4,7,2,5,6]=>([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7)=>[5,2]
[1,3,4,7,2,6,5]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,3)],7)=>[4,2,1]
[1,3,4,7,5,2,6]=>([(0,3),(0,4),(2,6),(3,6),(4,5),(5,1),(5,2)],7)=>[5,1,1]
[1,3,4,7,5,6,2]=>([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7)=>[5,1,1]
[1,3,4,7,6,2,5]=>([(0,3),(0,4),(3,6),(4,5),(5,1),(5,2),(5,6)],7)=>[4,2,1]
[1,3,4,7,6,5,2]=>([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7)=>[4,1,1,1]
[1,3,5,2,4,6,7]=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>[5,2]
[1,3,5,2,4,7,6]=>([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7)=>[4,3]
[1,3,5,2,6,4,7]=>([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7)=>[5,2]
[1,3,5,2,6,7,4]=>([(0,3),(0,4),(2,6),(3,5),(3,6),(4,2),(4,5),(6,1)],7)=>[5,2]
[1,3,5,2,7,4,6]=>([(0,2),(0,3),(1,4),(1,6),(2,4),(2,5),(3,1),(3,5),(5,6)],7)=>[4,3]
[1,3,5,2,7,6,4]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6)],7)=>[4,2,1]
[1,3,5,4,2,6,7]=>([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)=>[5,1,1]
[1,3,5,4,2,7,6]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>[4,2,1]
[1,3,5,4,6,2,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>[5,1,1]
[1,3,5,4,6,7,2]=>([(0,4),(0,5),(1,6),(2,6),(5,1),(5,2),(6,3)],7)=>[5,1,1]
[1,3,5,4,7,2,6]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>[4,2,1]
[1,3,5,4,7,6,2]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)=>[4,2,1]
[1,3,5,6,2,4,7]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)=>[5,2]
[1,3,5,6,2,7,4]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6)],7)=>[5,2]
[1,3,5,6,4,2,7]=>([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)=>[5,1,1]
[1,3,5,6,4,7,2]=>([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7)=>[5,1,1]
[1,3,5,6,7,2,4]=>([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7)=>[5,2]
[1,3,5,6,7,4,2]=>([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7)=>[5,1,1]
[1,3,5,7,2,4,6]=>([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7)=>[4,3]
[1,3,5,7,2,6,4]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5)],7)=>[4,2,1]
[1,3,5,7,4,2,6]=>([(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,4)],7)=>[4,2,1]
[1,3,5,7,4,6,2]=>([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7)=>[4,2,1]
[1,3,5,7,6,2,4]=>([(0,3),(0,4),(3,6),(4,5),(4,6),(5,1),(5,2)],7)=>[4,2,1]
[1,3,5,7,6,4,2]=>([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7)=>[4,1,1,1]
[1,3,6,2,4,5,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>[5,2]
[1,3,6,2,4,7,5]=>([(0,3),(0,4),(2,5),(3,6),(4,2),(4,6),(6,1),(6,5)],7)=>[4,3]
[1,3,6,2,5,4,7]=>([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[1,3,6,2,5,7,4]=>([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(5,6)],7)=>[4,2,1]
[1,3,6,2,7,4,5]=>([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(6,1)],7)=>[4,3]
[1,3,6,2,7,5,4]=>([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6)],7)=>[4,2,1]
[1,3,6,4,2,5,7]=>([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)=>[5,1,1]
[1,3,6,4,2,7,5]=>([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>[4,2,1]
[1,3,6,4,5,2,7]=>([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)=>[5,1,1]
[1,3,6,4,5,7,2]=>([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7)=>[5,1,1]
[1,3,6,4,7,2,5]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>[4,2,1]
[1,3,6,4,7,5,2]=>([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7)=>[4,2,1]
[1,3,6,5,2,4,7]=>([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>[4,2,1]
[1,3,6,5,2,7,4]=>([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>[4,2,1]
[1,3,6,5,4,2,7]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>[4,1,1,1]
[1,3,6,5,4,7,2]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>[4,1,1,1]
[1,3,6,5,7,2,4]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)=>[4,2,1]
[1,3,6,5,7,4,2]=>([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>[4,1,1,1]
[1,3,6,7,2,4,5]=>([(0,3),(0,5),(3,6),(4,1),(5,4),(5,6),(6,2)],7)=>[4,3]
[1,3,6,7,2,5,4]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(4,3),(4,5),(4,6)],7)=>[4,2,1]
[1,3,6,7,4,2,5]=>([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(5,4)],7)=>[4,2,1]
[1,3,6,7,4,5,2]=>([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7)=>[4,2,1]
[1,3,6,7,5,2,4]=>([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7)=>[4,2,1]
[1,3,6,7,5,4,2]=>([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)=>[4,1,1,1]
[1,3,7,2,4,5,6]=>([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7)=>[5,2]
[1,3,7,2,4,6,5]=>([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)=>[4,2,1]
[1,3,7,2,5,4,6]=>([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[1,3,7,2,5,6,4]=>([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>[4,2,1]
[1,3,7,2,6,4,5]=>([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>[4,2,1]
[1,3,7,2,6,5,4]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[1,3,7,4,2,5,6]=>([(0,4),(0,5),(2,6),(4,6),(5,1),(5,2),(6,3)],7)=>[5,1,1]
[1,3,7,4,2,6,5]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>[4,2,1]
[1,3,7,4,5,2,6]=>([(0,3),(0,5),(2,6),(3,6),(4,2),(5,1),(5,4)],7)=>[5,1,1]
[1,3,7,4,5,6,2]=>([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7)=>[5,1,1]
[1,3,7,4,6,2,5]=>([(0,3),(0,5),(3,6),(4,2),(4,6),(5,1),(5,4)],7)=>[4,2,1]
[1,3,7,4,6,5,2]=>([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7)=>[4,1,1,1]
[1,3,7,5,2,4,6]=>([(0,3),(0,4),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>[4,2,1]
[1,3,7,5,2,6,4]=>([(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6)],7)=>[4,2,1]
[1,3,7,5,4,2,6]=>([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>[4,1,1,1]
[1,3,7,5,4,6,2]=>([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>[4,1,1,1]
[1,3,7,5,6,2,4]=>([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7)=>[4,2,1]
[1,3,7,5,6,4,2]=>([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)=>[4,1,1,1]
[1,3,7,6,2,4,5]=>([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>[4,2,1]
[1,3,7,6,2,5,4]=>([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>[3,2,1,1]
[1,3,7,6,4,2,5]=>([(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>[4,1,1,1]
[1,3,7,6,4,5,2]=>([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)=>[4,1,1,1]
[1,3,7,6,5,2,4]=>([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>[3,2,1,1]
[1,3,7,6,5,4,2]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>[3,1,1,1,1]
[1,4,2,3,5,6,7]=>([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7)=>[6,1]
[1,4,2,3,5,7,6]=>([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>[5,2]
[1,4,2,3,6,5,7]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7)=>[5,2]
[1,4,2,3,6,7,5]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7)=>[5,2]
[1,4,2,3,7,5,6]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7)=>[5,2]
[1,4,2,3,7,6,5]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7)=>[4,2,1]
[1,4,2,5,3,6,7]=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>[5,2]
[1,4,2,5,3,7,6]=>([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7)=>[4,3]
[1,4,2,5,6,3,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>[5,2]
[1,4,2,5,6,7,3]=>([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7)=>[5,2]
[1,4,2,5,7,3,6]=>([(0,3),(0,4),(2,5),(3,6),(4,2),(4,6),(6,1),(6,5)],7)=>[4,3]
[1,4,2,5,7,6,3]=>([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)=>[4,2,1]
[1,4,2,6,3,5,7]=>([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7)=>[5,2]
[1,4,2,6,3,7,5]=>([(0,2),(0,3),(1,4),(1,6),(2,4),(2,5),(3,1),(3,5),(5,6)],7)=>[4,3]
[1,4,2,6,5,3,7]=>([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[1,4,2,6,5,7,3]=>([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[1,4,2,6,7,3,5]=>([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(6,1)],7)=>[4,3]
[1,4,2,6,7,5,3]=>([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>[4,2,1]
[1,4,2,7,3,5,6]=>([(0,3),(0,4),(2,6),(3,5),(3,6),(4,2),(4,5),(6,1)],7)=>[5,2]
[1,4,2,7,3,6,5]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6)],7)=>[4,2,1]
[1,4,2,7,5,3,6]=>([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(5,6)],7)=>[4,2,1]
[1,4,2,7,5,6,3]=>([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>[4,2,1]
[1,4,2,7,6,3,5]=>([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6)],7)=>[4,2,1]
[1,4,2,7,6,5,3]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[1,4,3,2,5,6,7]=>([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)=>[5,1,1]
[1,4,3,2,5,7,6]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)=>[4,2,1]
[1,4,3,2,6,5,7]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[1,4,3,2,6,7,5]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>[4,2,1]
[1,4,3,2,7,5,6]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>[4,2,1]
[1,4,3,2,7,6,5]=>([(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)=>[3,2,2]
[1,4,3,5,2,6,7]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>[5,1,1]
[1,4,3,5,2,7,6]=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[4,2,1]
[1,4,3,5,6,2,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)=>[5,1,1]
[1,4,3,5,6,7,2]=>([(0,2),(0,3),(0,4),(3,6),(4,6),(5,1),(6,5)],7)=>[5,1,1]
[1,4,3,5,7,2,6]=>([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)=>[4,2,1]
[1,4,3,5,7,6,2]=>([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)=>[4,2,1]
[1,4,3,6,2,5,7]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[1,4,3,6,2,7,5]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>[4,2,1]
[1,4,3,6,5,2,7]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[1,4,3,6,5,7,2]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[1,4,3,6,7,2,5]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)=>[4,2,1]
[1,4,3,6,7,5,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>[4,2,1]
[1,4,3,7,2,5,6]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>[4,2,1]
[1,4,3,7,2,6,5]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[1,4,3,7,5,2,6]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>[4,2,1]
[1,4,3,7,5,6,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>[4,2,1]
[1,4,3,7,6,2,5]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[1,4,3,7,6,5,2]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[1,4,5,2,3,6,7]=>([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7)=>[5,2]
[1,4,5,2,3,7,6]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)=>[4,3]
[1,4,5,2,6,3,7]=>([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)=>[5,2]
[1,4,5,2,6,7,3]=>([(0,4),(0,5),(2,6),(4,2),(5,1),(5,6),(6,3)],7)=>[5,2]
[1,4,5,2,7,3,6]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(3,2),(4,1),(4,6)],7)=>[4,3]
[1,4,5,2,7,6,3]=>([(0,3),(0,4),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6)],7)=>[4,2,1]
[1,4,5,3,2,6,7]=>([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>[5,1,1]
[1,4,5,3,2,7,6]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>[4,2,1]
[1,4,5,3,6,2,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)=>[5,1,1]
[1,4,5,3,6,7,2]=>([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>[5,1,1]
[1,4,5,3,7,2,6]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7)=>[4,2,1]
[1,4,5,3,7,6,2]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7)=>[4,2,1]
[1,4,5,6,2,3,7]=>([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)=>[5,2]
[1,4,5,6,2,7,3]=>([(0,4),(0,5),(2,6),(3,2),(4,3),(5,1),(5,6)],7)=>[5,2]
[1,4,5,6,3,2,7]=>([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)=>[5,1,1]
[1,4,5,6,3,7,2]=>([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7)=>[5,1,1]
[1,4,5,6,7,2,3]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>[5,2]
[1,4,5,6,7,3,2]=>([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7)=>[5,1,1]
[1,4,5,7,2,3,6]=>([(0,4),(0,5),(2,6),(3,1),(3,6),(4,2),(5,3)],7)=>[4,3]
[1,4,5,7,2,6,3]=>([(0,4),(0,5),(3,2),(3,6),(4,3),(5,1),(5,6)],7)=>[4,2,1]
[1,4,5,7,3,2,6]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,4)],7)=>[4,2,1]
[1,4,5,7,3,6,2]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7)=>[4,2,1]
[1,4,5,7,6,2,3]=>([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7)=>[4,2,1]
[1,4,5,7,6,3,2]=>([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>[4,1,1,1]
[1,4,6,2,3,5,7]=>([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)=>[5,2]
[1,4,6,2,3,7,5]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(3,2),(4,1),(4,6)],7)=>[4,3]
[1,4,6,2,5,3,7]=>([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)=>[4,2,1]
[1,4,6,2,5,7,3]=>([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7)=>[4,2,1]
[1,4,6,2,7,3,5]=>([(0,3),(0,4),(1,6),(2,5),(3,2),(3,6),(4,1),(4,5)],7)=>[4,3]
[1,4,6,2,7,5,3]=>([(0,3),(0,4),(2,5),(3,2),(3,6),(4,1),(4,5),(4,6)],7)=>[4,2,1]
[1,4,6,3,2,5,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)=>[4,2,1]
[1,4,6,3,2,7,5]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>[4,2,1]
[1,4,6,3,5,2,7]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>[4,2,1]
[1,4,6,3,5,7,2]=>([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7)=>[4,2,1]
[1,4,6,3,7,2,5]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>[4,2,1]
[1,4,6,3,7,5,2]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7)=>[4,2,1]
[1,4,6,5,2,3,7]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>[4,2,1]
[1,4,6,5,2,7,3]=>([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)=>[4,2,1]
[1,4,6,5,3,2,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>[4,1,1,1]
[1,4,6,5,3,7,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>[4,1,1,1]
[1,4,6,5,7,2,3]=>([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)=>[4,2,1]
[1,4,6,5,7,3,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)=>[4,1,1,1]
[1,4,6,7,2,3,5]=>([(0,4),(0,5),(2,6),(3,1),(4,2),(5,3),(5,6)],7)=>[4,3]
[1,4,6,7,2,5,3]=>([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7)=>[4,2,1]
[1,4,6,7,3,2,5]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4),(5,6)],7)=>[4,2,1]
[1,4,6,7,3,5,2]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7)=>[4,2,1]
[1,4,6,7,5,2,3]=>([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7)=>[4,2,1]
[1,4,6,7,5,3,2]=>([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)=>[4,1,1,1]
[1,4,7,2,3,5,6]=>([(0,4),(0,5),(2,6),(4,2),(5,1),(5,6),(6,3)],7)=>[5,2]
[1,4,7,2,3,6,5]=>([(0,3),(0,4),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6)],7)=>[4,2,1]
[1,4,7,2,5,3,6]=>([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7)=>[4,2,1]
[1,4,7,2,5,6,3]=>([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)=>[4,2,1]
[1,4,7,2,6,3,5]=>([(0,3),(0,4),(2,5),(3,2),(3,6),(4,1),(4,5),(4,6)],7)=>[4,2,1]
[1,4,7,2,6,5,3]=>([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>[3,2,1,1]
[1,4,7,3,2,5,6]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)=>[4,2,1]
[1,4,7,3,2,6,5]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>[3,2,2]
[1,4,7,3,5,2,6]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>[4,2,1]
[1,4,7,3,5,6,2]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>[4,2,1]
[1,4,7,3,6,2,5]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>[3,2,2]
[1,4,7,3,6,5,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>[3,2,1,1]
[1,4,7,5,2,3,6]=>([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>[4,2,1]
[1,4,7,5,2,6,3]=>([(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,3)],7)=>[4,2,1]
[1,4,7,5,3,2,6]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>[4,1,1,1]
[1,4,7,5,3,6,2]=>([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>[4,1,1,1]
[1,4,7,5,6,2,3]=>([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7)=>[4,2,1]
[1,4,7,5,6,3,2]=>([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)=>[4,1,1,1]
[1,4,7,6,2,3,5]=>([(0,4),(0,5),(3,6),(4,3),(5,1),(5,2),(5,6)],7)=>[4,2,1]
[1,4,7,6,2,5,3]=>([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)=>[3,2,1,1]
[1,4,7,6,3,2,5]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>[3,2,1,1]
[1,4,7,6,3,5,2]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>[3,2,1,1]
[1,4,7,6,5,2,3]=>([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)=>[3,2,1,1]
[1,4,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>[3,1,1,1,1]
[1,5,2,3,4,6,7]=>([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7)=>[6,1]
[1,5,2,3,4,7,6]=>([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7)=>[5,2]
[1,5,2,3,6,4,7]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)=>[5,2]
[1,5,2,3,6,7,4]=>([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7)=>[5,2]
[1,5,2,3,7,4,6]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7)=>[5,2]
[1,5,2,3,7,6,4]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,3)],7)=>[4,2,1]
[1,5,2,4,3,6,7]=>([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)=>[5,1,1]
[1,5,2,4,3,7,6]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>[4,2,1]
[1,5,2,4,6,3,7]=>([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)=>[5,1,1]
[1,5,2,4,6,7,3]=>([(0,4),(0,5),(2,6),(4,6),(5,1),(5,2),(6,3)],7)=>[5,1,1]
[1,5,2,4,7,3,6]=>([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>[4,2,1]
[1,5,2,4,7,6,3]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>[4,2,1]
[1,5,2,6,3,4,7]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)=>[5,2]
[1,5,2,6,3,7,4]=>([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7)=>[4,3]
[1,5,2,6,4,3,7]=>([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>[4,2,1]
[1,5,2,6,4,7,3]=>([(0,3),(0,4),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>[4,2,1]
[1,5,2,6,7,3,4]=>([(0,3),(0,5),(3,6),(4,1),(5,4),(5,6),(6,2)],7)=>[4,3]
[1,5,2,6,7,4,3]=>([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>[4,2,1]
[1,5,2,7,3,4,6]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6)],7)=>[5,2]
[1,5,2,7,3,6,4]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5)],7)=>[4,2,1]
[1,5,2,7,4,3,6]=>([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>[4,2,1]
[1,5,2,7,4,6,3]=>([(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6)],7)=>[4,2,1]
[1,5,2,7,6,3,4]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(4,3),(4,5),(4,6)],7)=>[4,2,1]
[1,5,2,7,6,4,3]=>([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>[3,2,1,1]
[1,5,3,2,4,6,7]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>[5,1,1]
[1,5,3,2,4,7,6]=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[4,2,1]
[1,5,3,2,6,4,7]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[1,5,3,2,6,7,4]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>[4,2,1]
[1,5,3,2,7,4,6]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>[4,2,1]
[1,5,3,2,7,6,4]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[1,5,3,4,2,6,7]=>([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>[5,1,1]
[1,5,3,4,2,7,6]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>[4,2,1]
[1,5,3,4,6,2,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)=>[5,1,1]
[1,5,3,4,6,7,2]=>([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>[5,1,1]
[1,5,3,4,7,2,6]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7)=>[4,2,1]
[1,5,3,4,7,6,2]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7)=>[4,2,1]
[1,5,3,6,2,4,7]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[1,5,3,6,2,7,4]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>[4,2,1]
[1,5,3,6,4,2,7]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>[4,2,1]
[1,5,3,6,4,7,2]=>([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7)=>[4,2,1]
[1,5,3,6,7,2,4]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)=>[4,2,1]
[1,5,3,6,7,4,2]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>[4,2,1]
[1,5,3,7,2,4,6]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>[4,2,1]
[1,5,3,7,2,6,4]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[1,5,3,7,4,2,6]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,5)],7)=>[4,2,1]
[1,5,3,7,4,6,2]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7)=>[4,2,1]
[1,5,3,7,6,2,4]=>([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[1,5,3,7,6,4,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>[3,2,1,1]
[1,5,4,2,3,6,7]=>([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>[5,1,1]
[1,5,4,2,3,7,6]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>[4,2,1]
[1,5,4,2,6,3,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)=>[4,2,1]
[1,5,4,2,6,7,3]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)=>[4,2,1]
[1,5,4,2,7,3,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>[4,2,1]
[1,5,4,2,7,6,3]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>[3,2,2]
[1,5,4,3,2,6,7]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>[4,1,1,1]
[1,5,4,3,2,7,6]=>([(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)=>[3,2,1,1]
[1,5,4,3,6,2,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>[4,1,1,1]
[1,5,4,3,6,7,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)=>[4,1,1,1]
[1,5,4,3,7,2,6]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[1,5,4,3,7,6,2]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[1,5,4,6,2,3,7]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)=>[4,2,1]
[1,5,4,6,2,7,3]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)=>[4,2,1]
[1,5,4,6,3,2,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
[1,5,4,6,3,7,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
[1,5,4,6,7,2,3]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)=>[4,2,1]
[1,5,4,6,7,3,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)=>[4,1,1,1]
[1,5,4,7,2,3,6]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>[4,2,1]
[1,5,4,7,2,6,3]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>[3,2,2]
[1,5,4,7,3,2,6]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[1,5,4,7,3,6,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[1,5,4,7,6,2,3]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>[3,2,2]
[1,5,4,7,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[1,5,6,2,3,4,7]=>([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)=>[5,2]
[1,5,6,2,3,7,4]=>([(0,4),(0,5),(2,6),(3,1),(3,6),(4,2),(5,3)],7)=>[4,3]
[1,5,6,2,4,3,7]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>[4,2,1]
[1,5,6,2,4,7,3]=>([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>[4,2,1]
[1,5,6,2,7,3,4]=>([(0,4),(0,5),(2,6),(3,1),(4,2),(5,3),(5,6)],7)=>[4,3]
[1,5,6,2,7,4,3]=>([(0,4),(0,5),(3,6),(4,3),(5,1),(5,2),(5,6)],7)=>[4,2,1]
[1,5,6,3,2,4,7]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)=>[4,2,1]
[1,5,6,3,2,7,4]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>[4,2,1]
[1,5,6,3,4,2,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>[4,2,1]
[1,5,6,3,4,7,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)=>[4,2,1]
[1,5,6,3,7,2,4]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1)],7)=>[4,2,1]
[1,5,6,3,7,4,2]=>([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7)=>[4,2,1]
[1,5,6,4,2,3,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>[4,2,1]
[1,5,6,4,2,7,3]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7)=>[4,2,1]
[1,5,6,4,3,2,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>[4,1,1,1]
[1,5,6,4,3,7,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>[4,1,1,1]
[1,5,6,4,7,2,3]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)=>[4,2,1]
[1,5,6,4,7,3,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>[4,1,1,1]
[1,5,6,7,2,3,4]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>[4,3]
[1,5,6,7,2,4,3]=>([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7)=>[4,2,1]
[1,5,6,7,3,2,4]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4)],7)=>[4,2,1]
[1,5,6,7,3,4,2]=>([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)=>[4,2,1]
[1,5,6,7,4,2,3]=>([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)=>[4,2,1]
[1,5,6,7,4,3,2]=>([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>[4,1,1,1]
[1,5,7,2,3,4,6]=>([(0,4),(0,5),(2,6),(3,2),(4,3),(5,1),(5,6)],7)=>[5,2]
[1,5,7,2,3,6,4]=>([(0,4),(0,5),(3,2),(3,6),(4,3),(5,1),(5,6)],7)=>[4,2,1]
[1,5,7,2,4,3,6]=>([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)=>[4,2,1]
[1,5,7,2,4,6,3]=>([(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,3)],7)=>[4,2,1]
[1,5,7,2,6,3,4]=>([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7)=>[4,2,1]
[1,5,7,2,6,4,3]=>([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)=>[3,2,1,1]
[1,5,7,3,2,4,6]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)=>[4,2,1]
[1,5,7,3,2,6,4]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>[3,2,2]
[1,5,7,3,4,2,6]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7)=>[4,2,1]
[1,5,7,3,4,6,2]=>([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7)=>[4,2,1]
[1,5,7,3,6,2,4]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)=>[3,2,2]
[1,5,7,3,6,4,2]=>([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)=>[3,2,1,1]
[1,5,7,4,2,3,6]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7)=>[4,2,1]
[1,5,7,4,2,6,3]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)=>[3,2,2]
[1,5,7,4,3,2,6]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>[3,2,1,1]
[1,5,7,4,3,6,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>[3,2,1,1]
[1,5,7,4,6,2,3]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>[3,2,2]
[1,5,7,4,6,3,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>[3,2,1,1]
[1,5,7,6,2,3,4]=>([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7)=>[4,2,1]
[1,5,7,6,2,4,3]=>([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)=>[3,2,1,1]
[1,5,7,6,3,2,4]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)=>[3,2,1,1]
[1,5,7,6,3,4,2]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>[3,2,1,1]
[1,5,7,6,4,2,3]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>[3,2,1,1]
[1,5,7,6,4,3,2]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>[3,1,1,1,1]
[1,6,2,3,4,5,7]=>([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7)=>[6,1]
[1,6,2,3,4,7,5]=>([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7)=>[5,2]
[1,6,2,3,5,4,7]=>([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)=>[5,1,1]
[1,6,2,3,5,7,4]=>([(0,3),(0,4),(2,6),(3,6),(4,5),(5,1),(5,2)],7)=>[5,1,1]
[1,6,2,3,7,4,5]=>([(0,2),(0,5),(2,6),(3,1),(4,3),(4,6),(5,4)],7)=>[5,2]
[1,6,2,3,7,5,4]=>([(0,3),(0,4),(3,6),(4,5),(5,1),(5,2),(5,6)],7)=>[4,2,1]
[1,6,2,4,3,5,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>[5,1,1]
[1,6,2,4,3,7,5]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>[4,2,1]
[1,6,2,4,5,3,7]=>([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)=>[5,1,1]
[1,6,2,4,5,7,3]=>([(0,3),(0,5),(2,6),(3,6),(4,2),(5,1),(5,4)],7)=>[5,1,1]
[1,6,2,4,7,3,5]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>[4,2,1]
[1,6,2,4,7,5,3]=>([(0,3),(0,5),(3,6),(4,2),(4,6),(5,1),(5,4)],7)=>[4,2,1]
[1,6,2,5,3,4,7]=>([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)=>[5,1,1]
[1,6,2,5,3,7,4]=>([(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,4)],7)=>[4,2,1]
[1,6,2,5,4,3,7]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>[4,1,1,1]
[1,6,2,5,4,7,3]=>([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>[4,1,1,1]
[1,6,2,5,7,3,4]=>([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(5,4)],7)=>[4,2,1]
[1,6,2,5,7,4,3]=>([(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>[4,1,1,1]
[1,6,2,7,3,4,5]=>([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7)=>[5,2]
[1,6,2,7,3,5,4]=>([(0,3),(0,4),(3,6),(4,5),(4,6),(5,1),(5,2)],7)=>[4,2,1]
[1,6,2,7,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)=>[4,2,1]
[1,6,2,7,4,5,3]=>([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7)=>[4,2,1]
[1,6,2,7,5,3,4]=>([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7)=>[4,2,1]
[1,6,2,7,5,4,3]=>([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>[3,2,1,1]
[1,6,3,2,4,5,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)=>[5,1,1]
[1,6,3,2,4,7,5]=>([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)=>[4,2,1]
[1,6,3,2,5,4,7]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[1,6,3,2,5,7,4]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>[4,2,1]
[1,6,3,2,7,4,5]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)=>[4,2,1]
[1,6,3,2,7,5,4]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[1,6,3,4,2,5,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)=>[5,1,1]
[1,6,3,4,2,7,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7)=>[4,2,1]
[1,6,3,4,5,2,7]=>([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)=>[5,1,1]
[1,6,3,4,5,7,2]=>([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7)=>[5,1,1]
[1,6,3,4,7,2,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(4,1)],7)=>[4,2,1]
[1,6,3,4,7,5,2]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7)=>[4,2,1]
[1,6,3,5,2,4,7]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>[4,2,1]
[1,6,3,5,2,7,4]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,5)],7)=>[4,2,1]
[1,6,3,5,4,2,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>[4,1,1,1]
[1,6,3,5,4,7,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>[4,1,1,1]
[1,6,3,5,7,2,4]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6)],7)=>[4,2,1]
[1,6,3,5,7,4,2]=>([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>[4,1,1,1]
[1,6,3,7,2,4,5]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)=>[4,2,1]
[1,6,3,7,2,5,4]=>([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[1,6,3,7,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6)],7)=>[4,2,1]
[1,6,3,7,4,5,2]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7)=>[4,2,1]
[1,6,3,7,5,2,4]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)=>[3,2,2]
[1,6,3,7,5,4,2]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>[3,2,1,1]
[1,6,4,2,3,5,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)=>[5,1,1]
[1,6,4,2,3,7,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7)=>[4,2,1]
[1,6,4,2,5,3,7]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>[4,2,1]
[1,6,4,2,5,7,3]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>[4,2,1]
[1,6,4,2,7,3,5]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>[4,2,1]
[1,6,4,2,7,5,3]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>[3,2,2]
[1,6,4,3,2,5,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>[4,1,1,1]
[1,6,4,3,2,7,5]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[1,6,4,3,5,2,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
[1,6,4,3,5,7,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
[1,6,4,3,7,2,5]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[1,6,4,3,7,5,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[1,6,4,5,2,3,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>[4,2,1]
[1,6,4,5,2,7,3]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7)=>[4,2,1]
[1,6,4,5,3,2,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>[4,1,1,1]
[1,6,4,5,3,7,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>[4,1,1,1]
[1,6,4,5,7,2,3]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)=>[4,2,1]
[1,6,4,5,7,3,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>[4,1,1,1]
[1,6,4,7,2,3,5]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1)],7)=>[4,2,1]
[1,6,4,7,2,5,3]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)=>[3,2,2]
[1,6,4,7,3,2,5]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>[3,2,1,1]
[1,6,4,7,3,5,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)=>[3,2,1,1]
[1,6,4,7,5,2,3]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>[3,2,2]
[1,6,4,7,5,3,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>[3,2,1,1]
[1,6,5,2,3,4,7]=>([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)=>[5,1,1]
[1,6,5,2,3,7,4]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,4)],7)=>[4,2,1]
[1,6,5,2,4,3,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>[4,1,1,1]
[1,6,5,2,4,7,3]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>[4,1,1,1]
[1,6,5,2,7,3,4]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4),(5,6)],7)=>[4,2,1]
[1,6,5,2,7,4,3]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>[3,2,1,1]
[1,6,5,3,2,4,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
[1,6,5,3,2,7,4]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[1,6,5,3,4,2,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>[4,1,1,1]
[1,6,5,3,4,7,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>[4,1,1,1]
[1,6,5,3,7,2,4]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>[3,2,1,1]
[1,6,5,3,7,4,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>[3,2,1,1]
[1,6,5,4,2,3,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>[4,1,1,1]
[1,6,5,4,2,7,3]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>[3,2,1,1]
[1,6,5,4,3,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[1,6,5,4,3,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[1,6,5,4,7,2,3]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)=>[3,2,1,1]
[1,6,5,4,7,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[1,6,5,7,2,3,4]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4)],7)=>[4,2,1]
[1,6,5,7,2,4,3]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)=>[3,2,1,1]
[1,6,5,7,3,2,4]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)=>[3,2,1,1]
[1,6,5,7,3,4,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>[3,2,1,1]
[1,6,5,7,4,2,3]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>[3,2,1,1]
[1,6,5,7,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[1,6,7,2,3,4,5]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>[5,2]
[1,6,7,2,3,5,4]=>([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7)=>[4,2,1]
[1,6,7,2,4,3,5]=>([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)=>[4,2,1]
[1,6,7,2,4,5,3]=>([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7)=>[4,2,1]
[1,6,7,2,5,3,4]=>([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7)=>[4,2,1]
[1,6,7,2,5,4,3]=>([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)=>[3,2,1,1]
[1,6,7,3,2,4,5]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)=>[4,2,1]
[1,6,7,3,2,5,4]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>[3,2,2]
[1,6,7,3,4,2,5]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)=>[4,2,1]
[1,6,7,3,4,5,2]=>([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)=>[4,2,1]
[1,6,7,3,5,2,4]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>[3,2,2]
[1,6,7,3,5,4,2]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>[3,2,1,1]
[1,6,7,4,2,3,5]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)=>[4,2,1]
[1,6,7,4,2,5,3]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>[3,2,2]
[1,6,7,4,3,2,5]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)=>[3,2,1,1]
[1,6,7,4,3,5,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>[3,2,1,1]
[1,6,7,4,5,2,3]=>([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)=>[3,2,2]
[1,6,7,4,5,3,2]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>[3,2,1,1]
[1,6,7,5,2,3,4]=>([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)=>[4,2,1]
[1,6,7,5,2,4,3]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>[3,2,1,1]
[1,6,7,5,3,2,4]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>[3,2,1,1]
[1,6,7,5,3,4,2]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>[3,2,1,1]
[1,6,7,5,4,2,3]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>[3,2,1,1]
[1,6,7,5,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>[3,1,1,1,1]
[1,7,2,3,4,5,6]=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>[6,1]
[1,7,2,3,4,6,5]=>([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7)=>[5,1,1]
[1,7,2,3,5,4,6]=>([(0,3),(0,4),(1,6),(2,6),(4,5),(5,1),(5,2)],7)=>[5,1,1]
[1,7,2,3,5,6,4]=>([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7)=>[5,1,1]
[1,7,2,3,6,4,5]=>([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7)=>[5,1,1]
[1,7,2,3,6,5,4]=>([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7)=>[4,1,1,1]
[1,7,2,4,3,5,6]=>([(0,4),(0,5),(1,6),(2,6),(5,1),(5,2),(6,3)],7)=>[5,1,1]
[1,7,2,4,3,6,5]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)=>[4,2,1]
[1,7,2,4,5,3,6]=>([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7)=>[5,1,1]
[1,7,2,4,5,6,3]=>([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7)=>[5,1,1]
[1,7,2,4,6,3,5]=>([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7)=>[4,2,1]
[1,7,2,4,6,5,3]=>([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7)=>[4,1,1,1]
[1,7,2,5,3,4,6]=>([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7)=>[5,1,1]
[1,7,2,5,3,6,4]=>([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7)=>[4,2,1]
[1,7,2,5,4,3,6]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>[4,1,1,1]
[1,7,2,5,4,6,3]=>([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>[4,1,1,1]
[1,7,2,5,6,3,4]=>([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7)=>[4,2,1]
[1,7,2,5,6,4,3]=>([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)=>[4,1,1,1]
[1,7,2,6,3,4,5]=>([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7)=>[5,1,1]
[1,7,2,6,3,5,4]=>([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7)=>[4,1,1,1]
[1,7,2,6,4,3,5]=>([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>[4,1,1,1]
[1,7,2,6,4,5,3]=>([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)=>[4,1,1,1]
[1,7,2,6,5,3,4]=>([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)=>[4,1,1,1]
[1,7,2,6,5,4,3]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>[3,1,1,1,1]
[1,7,3,2,4,5,6]=>([(0,2),(0,3),(0,4),(3,6),(4,6),(5,1),(6,5)],7)=>[5,1,1]
[1,7,3,2,4,6,5]=>([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)=>[4,2,1]
[1,7,3,2,5,4,6]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[1,7,3,2,5,6,4]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>[4,2,1]
[1,7,3,2,6,4,5]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>[4,2,1]
[1,7,3,2,6,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[1,7,3,4,2,5,6]=>([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>[5,1,1]
[1,7,3,4,2,6,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7)=>[4,2,1]
[1,7,3,4,5,2,6]=>([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7)=>[5,1,1]
[1,7,3,4,5,6,2]=>([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7)=>[5,1,1]
[1,7,3,4,6,2,5]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7)=>[4,2,1]
[1,7,3,4,6,5,2]=>([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>[4,1,1,1]
[1,7,3,5,2,4,6]=>([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7)=>[4,2,1]
[1,7,3,5,2,6,4]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7)=>[4,2,1]
[1,7,3,5,4,2,6]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>[4,1,1,1]
[1,7,3,5,4,6,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)=>[4,1,1,1]
[1,7,3,5,6,2,4]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7)=>[4,2,1]
[1,7,3,5,6,4,2]=>([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)=>[4,1,1,1]
[1,7,3,6,2,4,5]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>[4,2,1]
[1,7,3,6,2,5,4]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>[3,2,1,1]
[1,7,3,6,4,2,5]=>([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>[4,1,1,1]
[1,7,3,6,4,5,2]=>([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)=>[4,1,1,1]
[1,7,3,6,5,2,4]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>[3,2,1,1]
[1,7,3,6,5,4,2]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>[3,1,1,1,1]
[1,7,4,2,3,5,6]=>([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>[5,1,1]
[1,7,4,2,3,6,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7)=>[4,2,1]
[1,7,4,2,5,3,6]=>([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7)=>[4,2,1]
[1,7,4,2,5,6,3]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>[4,2,1]
[1,7,4,2,6,3,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7)=>[4,2,1]
[1,7,4,2,6,5,3]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>[3,2,1,1]
[1,7,4,3,2,5,6]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)=>[4,1,1,1]
[1,7,4,3,2,6,5]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[1,7,4,3,5,2,6]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
[1,7,4,3,5,6,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)=>[4,1,1,1]
[1,7,4,3,6,2,5]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[1,7,4,3,6,5,2]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[1,7,4,5,2,3,6]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)=>[4,2,1]
[1,7,4,5,2,6,3]=>([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7)=>[4,2,1]
[1,7,4,5,3,2,6]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>[4,1,1,1]
[1,7,4,5,3,6,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>[4,1,1,1]
[1,7,4,5,6,2,3]=>([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)=>[4,2,1]
[1,7,4,5,6,3,2]=>([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>[4,1,1,1]
[1,7,4,6,2,3,5]=>([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7)=>[4,2,1]
[1,7,4,6,2,5,3]=>([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)=>[3,2,1,1]
[1,7,4,6,3,2,5]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>[3,2,1,1]
[1,7,4,6,3,5,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>[3,2,1,1]
[1,7,4,6,5,2,3]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>[3,2,1,1]
[1,7,4,6,5,3,2]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>[3,1,1,1,1]
[1,7,5,2,3,4,6]=>([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7)=>[5,1,1]
[1,7,5,2,3,6,4]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7)=>[4,2,1]
[1,7,5,2,4,3,6]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>[4,1,1,1]
[1,7,5,2,4,6,3]=>([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>[4,1,1,1]
[1,7,5,2,6,3,4]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7)=>[4,2,1]
[1,7,5,2,6,4,3]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>[3,2,1,1]
[1,7,5,3,2,4,6]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
[1,7,5,3,2,6,4]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[1,7,5,3,4,2,6]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>[4,1,1,1]
[1,7,5,3,4,6,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>[4,1,1,1]
[1,7,5,3,6,2,4]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)=>[3,2,1,1]
[1,7,5,3,6,4,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>[3,2,1,1]
[1,7,5,4,2,3,6]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>[4,1,1,1]
[1,7,5,4,2,6,3]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>[3,2,1,1]
[1,7,5,4,3,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[1,7,5,4,3,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[1,7,5,4,6,2,3]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>[3,2,1,1]
[1,7,5,4,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[1,7,5,6,2,3,4]=>([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)=>[4,2,1]
[1,7,5,6,2,4,3]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>[3,2,1,1]
[1,7,5,6,3,2,4]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>[3,2,1,1]
[1,7,5,6,3,4,2]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>[3,2,1,1]
[1,7,5,6,4,2,3]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>[3,2,1,1]
[1,7,5,6,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>[3,1,1,1,1]
[1,7,6,2,3,4,5]=>([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7)=>[5,1,1]
[1,7,6,2,3,5,4]=>([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>[4,1,1,1]
[1,7,6,2,4,3,5]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)=>[4,1,1,1]
[1,7,6,2,4,5,3]=>([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)=>[4,1,1,1]
[1,7,6,2,5,3,4]=>([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)=>[4,1,1,1]
[1,7,6,2,5,4,3]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>[3,1,1,1,1]
[1,7,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)=>[4,1,1,1]
[1,7,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[1,7,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>[4,1,1,1]
[1,7,6,3,4,5,2]=>([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>[4,1,1,1]
[1,7,6,3,5,2,4]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>[3,2,1,1]
[1,7,6,3,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>[3,1,1,1,1]
[1,7,6,4,2,3,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>[4,1,1,1]
[1,7,6,4,2,5,3]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>[3,2,1,1]
[1,7,6,4,3,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[1,7,6,4,3,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[1,7,6,4,5,2,3]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>[3,2,1,1]
[1,7,6,4,5,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>[3,1,1,1,1]
[1,7,6,5,2,3,4]=>([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>[4,1,1,1]
[1,7,6,5,2,4,3]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>[3,1,1,1,1]
[1,7,6,5,3,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[1,7,6,5,3,4,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>[3,1,1,1,1]
[1,7,6,5,4,2,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>[3,1,1,1,1]
[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>[2,1,1,1,1,1]
[2,1,3,4,5,6,7]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)=>[6,1]
[2,1,3,4,5,7,6]=>([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)=>[5,2]
[2,1,3,4,6,5,7]=>([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)=>[5,2]
[2,1,3,4,6,7,5]=>([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>[5,2]
[2,1,3,4,7,5,6]=>([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>[5,2]
[2,1,3,4,7,6,5]=>([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)=>[4,2,1]
[2,1,3,5,4,6,7]=>([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)=>[5,2]
[2,1,3,5,4,7,6]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)=>[4,3]
[2,1,3,5,6,4,7]=>([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)=>[5,2]
[2,1,3,5,6,7,4]=>([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)=>[5,2]
[2,1,3,5,7,4,6]=>([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>[4,3]
[2,1,3,5,7,6,4]=>([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>[4,2,1]
[2,1,3,6,4,5,7]=>([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)=>[5,2]
[2,1,3,6,4,7,5]=>([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>[4,3]
[2,1,3,6,5,4,7]=>([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>[4,2,1]
[2,1,3,6,5,7,4]=>([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>[4,2,1]
[2,1,3,6,7,4,5]=>([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>[4,3]
[2,1,3,6,7,5,4]=>([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>[4,2,1]
[2,1,3,7,4,5,6]=>([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)=>[5,2]
[2,1,3,7,4,6,5]=>([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>[4,2,1]
[2,1,3,7,5,4,6]=>([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>[4,2,1]
[2,1,3,7,5,6,4]=>([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>[4,2,1]
[2,1,3,7,6,4,5]=>([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>[4,2,1]
[2,1,3,7,6,5,4]=>([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>[3,2,1,1]
[2,1,4,3,5,6,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)=>[5,2]
[2,1,4,3,5,7,6]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)=>[4,3]
[2,1,4,3,6,5,7]=>([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>[4,3]
[2,1,4,3,6,7,5]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>[4,3]
[2,1,4,3,7,5,6]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>[4,3]
[2,1,4,3,7,6,5]=>([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>[3,3,1]
[2,1,4,5,3,6,7]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)=>[5,2]
[2,1,4,5,3,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>[4,3]
[2,1,4,5,6,3,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)=>[5,2]
[2,1,4,5,6,7,3]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)=>[5,2]
[2,1,4,5,7,3,6]=>([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)=>[4,3]
[2,1,4,5,7,6,3]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)=>[4,2,1]
[2,1,4,6,3,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)=>[4,3]
[2,1,4,6,3,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>[4,3]
[2,1,4,6,5,3,7]=>([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>[4,2,1]
[2,1,4,6,5,7,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>[4,2,1]
[2,1,4,6,7,3,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)=>[4,3]
[2,1,4,6,7,5,3]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>[4,2,1]
[2,1,4,7,3,5,6]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)=>[4,3]
[2,1,4,7,3,6,5]=>([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>[3,3,1]
[2,1,4,7,5,3,6]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>[4,2,1]
[2,1,4,7,5,6,3]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>[4,2,1]
[2,1,4,7,6,3,5]=>([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>[3,3,1]
[2,1,4,7,6,5,3]=>([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>[3,2,1,1]
[2,1,5,3,4,6,7]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)=>[5,2]
[2,1,5,3,4,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>[4,3]
[2,1,5,3,6,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)=>[4,3]
[2,1,5,3,6,7,4]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)=>[4,3]
[2,1,5,3,7,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>[4,3]
[2,1,5,3,7,6,4]=>([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>[3,3,1]
[2,1,5,4,3,6,7]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7)=>[4,2,1]
[2,1,5,4,3,7,6]=>([(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)=>[3,3,1]
[2,1,5,4,6,3,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7)=>[4,2,1]
[2,1,5,4,6,7,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(5,3),(6,3)],7)=>[4,2,1]
[2,1,5,4,7,3,6]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,2),(5,6)],7)=>[3,3,1]
[2,1,5,4,7,6,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,2),(5,3),(6,2),(6,3)],7)=>[3,3,1]
[2,1,5,6,3,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)=>[4,3]
[2,1,5,6,3,7,4]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)=>[4,3]
[2,1,5,6,4,3,7]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,2,1]
[2,1,5,6,4,7,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7)=>[4,2,1]
[2,1,5,6,7,3,4]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>[4,3]
[2,1,5,6,7,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(6,2)],7)=>[4,2,1]
[2,1,5,7,3,4,6]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)=>[4,3]
[2,1,5,7,3,6,4]=>([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)=>[3,3,1]
[2,1,5,7,4,3,6]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>[3,3,1]
[2,1,5,7,4,6,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7)=>[3,3,1]
[2,1,5,7,6,3,4]=>([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>[3,3,1]
[2,1,5,7,6,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>[3,2,1,1]
[2,1,6,3,4,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)=>[5,2]
[2,1,6,3,4,7,5]=>([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)=>[4,3]
[2,1,6,3,5,4,7]=>([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>[4,2,1]
[2,1,6,3,5,7,4]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>[4,2,1]
[2,1,6,3,7,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)=>[4,3]
[2,1,6,3,7,5,4]=>([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>[3,3,1]
[2,1,6,4,3,5,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7)=>[4,2,1]
[2,1,6,4,3,7,5]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,2),(5,6)],7)=>[3,3,1]
[2,1,6,4,5,3,7]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,2,1]
[2,1,6,4,5,7,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7)=>[4,2,1]
[2,1,6,4,7,3,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(5,2),(6,2),(6,3)],7)=>[3,3,1]
[2,1,6,4,7,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7)=>[3,3,1]
[2,1,6,5,3,4,7]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,2,1]
[2,1,6,5,3,7,4]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>[3,3,1]
[2,1,6,5,4,3,7]=>([(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)=>[3,2,1,1]
[2,1,6,5,4,7,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[2,1,6,5,7,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(5,3),(6,3)],7)=>[3,3,1]
[2,1,6,5,7,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(5,2),(6,2)],7)=>[3,2,1,1]
[2,1,6,7,3,4,5]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>[4,3]
[2,1,6,7,3,5,4]=>([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>[3,3,1]
[2,1,6,7,4,3,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(5,3),(6,3)],7)=>[3,3,1]
[2,1,6,7,4,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>[3,3,1]
[2,1,6,7,5,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>[3,3,1]
[2,1,6,7,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
[2,1,7,3,4,5,6]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)=>[5,2]
[2,1,7,3,4,6,5]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)=>[4,2,1]
[2,1,7,3,5,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>[4,2,1]
[2,1,7,3,5,6,4]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>[4,2,1]
[2,1,7,3,6,4,5]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>[4,2,1]
[2,1,7,3,6,5,4]=>([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>[3,2,1,1]
[2,1,7,4,3,5,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(5,3),(6,3)],7)=>[4,2,1]
[2,1,7,4,3,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,2),(5,3),(6,2),(6,3)],7)=>[3,3,1]
[2,1,7,4,5,3,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7)=>[4,2,1]
[2,1,7,4,5,6,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(6,2)],7)=>[4,2,1]
[2,1,7,4,6,3,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7)=>[3,3,1]
[2,1,7,4,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>[3,2,1,1]
[2,1,7,5,3,4,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7)=>[4,2,1]
[2,1,7,5,3,6,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7)=>[3,3,1]
[2,1,7,5,4,3,6]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[2,1,7,5,4,6,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(5,2),(6,2)],7)=>[3,2,1,1]
[2,1,7,5,6,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>[3,3,1]
[2,1,7,5,6,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
[2,1,7,6,3,4,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(6,2)],7)=>[4,2,1]
[2,1,7,6,3,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>[3,2,1,1]
[2,1,7,6,4,3,5]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(5,2),(6,2)],7)=>[3,2,1,1]
[2,1,7,6,4,5,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
[2,1,7,6,5,3,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>[2,2,1,1,1]
[2,3,1,4,5,6,7]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)=>[6,1]
[2,3,1,4,5,7,6]=>([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7)=>[5,2]
[2,3,1,4,6,5,7]=>([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>[5,2]
[2,3,1,4,6,7,5]=>([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7)=>[5,2]
[2,3,1,4,7,5,6]=>([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7)=>[5,2]
[2,3,1,4,7,6,5]=>([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],7)=>[4,2,1]
[2,3,1,5,4,6,7]=>([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7)=>[5,2]
[2,3,1,5,4,7,6]=>([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>[4,3]
[2,3,1,5,6,4,7]=>([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7)=>[5,2]
[2,3,1,5,6,7,4]=>([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7)=>[5,2]
[2,3,1,5,7,4,6]=>([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7)=>[4,3]
[2,3,1,5,7,6,4]=>([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7)=>[4,2,1]
[2,3,1,6,4,5,7]=>([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7)=>[5,2]
[2,3,1,6,4,7,5]=>([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7)=>[4,3]
[2,3,1,6,5,4,7]=>([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[2,3,1,6,5,7,4]=>([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>[4,2,1]
[2,3,1,6,7,4,5]=>([(0,5),(0,6),(1,2),(2,5),(2,6),(5,4),(6,3)],7)=>[4,3]
[2,3,1,6,7,5,4]=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)=>[4,2,1]
[2,3,1,7,4,5,6]=>([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7)=>[5,2]
[2,3,1,7,4,6,5]=>([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7)=>[4,2,1]
[2,3,1,7,5,4,6]=>([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>[4,2,1]
[2,3,1,7,5,6,4]=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)=>[4,2,1]
[2,3,1,7,6,4,5]=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)=>[4,2,1]
[2,3,1,7,6,5,4]=>([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[3,2,1,1]
[2,3,4,1,5,6,7]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)=>[6,1]
[2,3,4,1,5,7,6]=>([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7)=>[5,2]
[2,3,4,1,6,5,7]=>([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>[5,2]
[2,3,4,1,6,7,5]=>([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7)=>[5,2]
[2,3,4,1,7,5,6]=>([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7)=>[5,2]
[2,3,4,1,7,6,5]=>([(0,2),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[4,2,1]
[2,3,4,5,1,6,7]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)=>[6,1]
[2,3,4,5,1,7,6]=>([(0,5),(0,6),(1,4),(2,5),(2,6),(3,2),(4,3)],7)=>[5,2]
[2,3,4,5,6,1,7]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>[6,1]
[2,3,4,5,6,7,1]=>([(1,6),(3,5),(4,3),(5,2),(6,4)],7)=>[6,1]
[2,3,4,5,7,1,6]=>([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7)=>[5,2]
[2,3,4,5,7,6,1]=>([(1,5),(4,6),(5,4),(6,2),(6,3)],7)=>[5,1,1]
[2,3,4,6,1,5,7]=>([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7)=>[5,2]
[2,3,4,6,1,7,5]=>([(0,5),(0,6),(1,3),(2,6),(3,4),(4,2),(4,5)],7)=>[5,2]
[2,3,4,6,5,1,7]=>([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>[5,1,1]
[2,3,4,6,5,7,1]=>([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>[5,1,1]
[2,3,4,6,7,1,5]=>([(0,6),(1,4),(3,2),(4,5),(5,3),(5,6)],7)=>[5,2]
[2,3,4,6,7,5,1]=>([(1,5),(4,3),(5,6),(6,2),(6,4)],7)=>[5,1,1]
[2,3,4,7,1,5,6]=>([(0,6),(1,4),(4,5),(5,2),(5,6),(6,3)],7)=>[5,2]
[2,3,4,7,1,6,5]=>([(0,5),(0,6),(1,3),(3,4),(4,2),(4,5),(4,6)],7)=>[4,2,1]
[2,3,4,7,5,1,6]=>([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)=>[5,1,1]
[2,3,4,7,5,6,1]=>([(1,5),(4,3),(5,6),(6,2),(6,4)],7)=>[5,1,1]
[2,3,4,7,6,1,5]=>([(0,6),(1,4),(4,5),(5,2),(5,3),(5,6)],7)=>[4,2,1]
[2,3,4,7,6,5,1]=>([(1,5),(5,6),(6,2),(6,3),(6,4)],7)=>[4,1,1,1]
[2,3,5,1,4,6,7]=>([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7)=>[5,2]
[2,3,5,1,4,7,6]=>([(0,2),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>[4,3]
[2,3,5,1,6,4,7]=>([(0,3),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7)=>[5,2]
[2,3,5,1,6,7,4]=>([(0,5),(0,6),(1,4),(3,6),(4,3),(4,5),(6,2)],7)=>[5,2]
[2,3,5,1,7,4,6]=>([(0,2),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4)],7)=>[4,3]
[2,3,5,1,7,6,4]=>([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>[4,2,1]
[2,3,5,4,1,6,7]=>([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)=>[5,1,1]
[2,3,5,4,1,7,6]=>([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>[4,2,1]
[2,3,5,4,6,1,7]=>([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(5,6)],7)=>[5,1,1]
[2,3,5,4,6,7,1]=>([(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)=>[5,1,1]
[2,3,5,4,7,1,6]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>[4,2,1]
[2,3,5,4,7,6,1]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>[4,2,1]
[2,3,5,6,1,4,7]=>([(0,6),(1,4),(2,5),(3,2),(4,3),(4,6),(6,5)],7)=>[5,2]
[2,3,5,6,1,7,4]=>([(0,5),(0,6),(1,4),(2,6),(3,2),(4,3),(4,5)],7)=>[5,2]
[2,3,5,6,4,1,7]=>([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>[5,1,1]
[2,3,5,6,4,7,1]=>([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>[5,1,1]
[2,3,5,6,7,1,4]=>([(0,6),(1,5),(3,4),(4,2),(5,3),(5,6)],7)=>[5,2]
[2,3,5,6,7,4,1]=>([(1,6),(4,5),(5,3),(6,2),(6,4)],7)=>[5,1,1]
[2,3,5,7,1,4,6]=>([(0,6),(1,3),(3,4),(3,6),(4,2),(4,5),(6,5)],7)=>[4,3]
[2,3,5,7,1,6,4]=>([(0,5),(0,6),(1,4),(3,2),(3,5),(4,3),(4,6)],7)=>[4,2,1]
[2,3,5,7,4,1,6]=>([(0,6),(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)=>[4,2,1]
[2,3,5,7,4,6,1]=>([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)=>[4,2,1]
[2,3,5,7,6,1,4]=>([(0,6),(1,4),(4,5),(4,6),(5,2),(5,3)],7)=>[4,2,1]
[2,3,5,7,6,4,1]=>([(1,6),(5,3),(5,4),(6,2),(6,5)],7)=>[4,1,1,1]
[2,3,6,1,4,5,7]=>([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7)=>[5,2]
[2,3,6,1,4,7,5]=>([(0,6),(1,4),(3,5),(4,3),(4,6),(6,2),(6,5)],7)=>[4,3]
[2,3,6,1,5,4,7]=>([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[2,3,6,1,5,7,4]=>([(0,3),(1,4),(1,6),(2,5),(3,2),(3,4),(3,6),(6,5)],7)=>[4,2,1]
[2,3,6,1,7,4,5]=>([(0,5),(0,6),(1,4),(3,5),(4,3),(4,6),(6,2)],7)=>[4,3]
[2,3,6,1,7,5,4]=>([(0,3),(1,4),(1,5),(1,6),(2,6),(3,2),(3,4),(3,5)],7)=>[4,2,1]
[2,3,6,4,1,5,7]=>([(0,6),(1,4),(2,6),(3,5),(4,2),(4,3),(6,5)],7)=>[5,1,1]
[2,3,6,4,1,7,5]=>([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>[4,2,1]
[2,3,6,4,5,1,7]=>([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>[5,1,1]
[2,3,6,4,5,7,1]=>([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>[5,1,1]
[2,3,6,4,7,1,5]=>([(0,6),(1,4),(2,5),(3,5),(3,6),(4,2),(4,3)],7)=>[4,2,1]
[2,3,6,4,7,5,1]=>([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)=>[4,2,1]
[2,3,6,5,1,4,7]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5),(5,6)],7)=>[4,2,1]
[2,3,6,5,1,7,4]=>([(0,5),(0,6),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5)],7)=>[4,2,1]
[2,3,6,5,4,1,7]=>([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
[2,3,6,5,4,7,1]=>([(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
[2,3,6,5,7,1,4]=>([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(4,6)],7)=>[4,2,1]
[2,3,6,5,7,4,1]=>([(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
[2,3,6,7,1,4,5]=>([(0,6),(1,5),(4,2),(5,4),(5,6),(6,3)],7)=>[4,3]
[2,3,6,7,1,5,4]=>([(0,5),(0,6),(1,4),(3,2),(4,3),(4,5),(4,6)],7)=>[4,2,1]
[2,3,6,7,4,1,5]=>([(0,6),(1,5),(3,6),(4,2),(5,3),(5,4)],7)=>[4,2,1]
[2,3,6,7,4,5,1]=>([(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>[4,2,1]
[2,3,6,7,5,1,4]=>([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7)=>[4,2,1]
[2,3,6,7,5,4,1]=>([(1,6),(5,4),(6,2),(6,3),(6,5)],7)=>[4,1,1,1]
[2,3,7,1,4,5,6]=>([(0,6),(1,4),(4,3),(4,6),(5,2),(6,5)],7)=>[5,2]
[2,3,7,1,4,6,5]=>([(0,6),(1,5),(5,2),(5,6),(6,3),(6,4)],7)=>[4,2,1]
[2,3,7,1,5,4,6]=>([(0,3),(1,5),(1,6),(3,2),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[2,3,7,1,5,6,4]=>([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[2,3,7,1,6,4,5]=>([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[2,3,7,1,6,5,4]=>([(0,3),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[2,3,7,4,1,5,6]=>([(0,6),(1,5),(3,6),(5,2),(5,3),(6,4)],7)=>[5,1,1]
[2,3,7,4,1,6,5]=>([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)=>[4,2,1]
[2,3,7,4,5,1,6]=>([(0,6),(1,5),(3,6),(4,3),(5,2),(5,4)],7)=>[5,1,1]
[2,3,7,4,5,6,1]=>([(1,6),(4,5),(5,3),(6,2),(6,4)],7)=>[5,1,1]
[2,3,7,4,6,1,5]=>([(0,6),(1,5),(4,3),(4,6),(5,2),(5,4)],7)=>[4,2,1]
[2,3,7,4,6,5,1]=>([(1,6),(5,3),(5,4),(6,2),(6,5)],7)=>[4,1,1,1]
[2,3,7,5,1,4,6]=>([(0,6),(1,4),(3,5),(4,2),(4,3),(4,6),(6,5)],7)=>[4,2,1]
[2,3,7,5,1,6,4]=>([(0,5),(0,6),(1,4),(3,5),(4,2),(4,3),(4,6)],7)=>[4,2,1]
[2,3,7,5,4,1,6]=>([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
[2,3,7,5,4,6,1]=>([(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
[2,3,7,5,6,1,4]=>([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7)=>[4,2,1]
[2,3,7,5,6,4,1]=>([(1,6),(5,4),(6,2),(6,3),(6,5)],7)=>[4,1,1,1]
[2,3,7,6,1,4,5]=>([(0,6),(1,5),(5,2),(5,3),(5,6),(6,4)],7)=>[4,2,1]
[2,3,7,6,1,5,4]=>([(0,5),(0,6),(1,4),(4,2),(4,3),(4,5),(4,6)],7)=>[3,2,1,1]
[2,3,7,6,4,1,5]=>([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
[2,3,7,6,4,5,1]=>([(1,6),(5,4),(6,2),(6,3),(6,5)],7)=>[4,1,1,1]
[2,3,7,6,5,1,4]=>([(0,6),(1,5),(5,2),(5,3),(5,4),(5,6)],7)=>[3,2,1,1]
[2,3,7,6,5,4,1]=>([(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>[3,1,1,1,1]
[2,4,1,3,5,6,7]=>([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7)=>[5,2]
[2,4,1,3,5,7,6]=>([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)=>[4,3]
[2,4,1,3,6,5,7]=>([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>[4,3]
[2,4,1,3,6,7,5]=>([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7)=>[4,3]
[2,4,1,3,7,5,6]=>([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7)=>[4,3]
[2,4,1,3,7,6,5]=>([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>[3,3,1]
[2,4,1,5,3,6,7]=>([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7)=>[5,2]
[2,4,1,5,3,7,6]=>([(0,2),(0,6),(1,5),(1,6),(2,5),(5,3),(5,4),(6,3),(6,4)],7)=>[4,3]
[2,4,1,5,6,3,7]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7)=>[5,2]
[2,4,1,5,6,7,3]=>([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(5,4)],7)=>[5,2]
[2,4,1,5,7,3,6]=>([(0,3),(0,6),(1,5),(1,6),(3,5),(5,2),(5,4),(6,4)],7)=>[4,3]
[2,4,1,5,7,6,3]=>([(0,5),(0,6),(1,4),(1,5),(4,6),(6,2),(6,3)],7)=>[4,2,1]
[2,4,1,6,3,5,7]=>([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],7)=>[4,3]
[2,4,1,6,3,7,5]=>([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7)=>[4,3]
[2,4,1,6,5,3,7]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[2,4,1,6,5,7,3]=>([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3)],7)=>[4,2,1]
[2,4,1,6,7,3,5]=>([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(5,2),(6,4)],7)=>[4,3]
[2,4,1,6,7,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7)=>[4,2,1]
[2,4,1,7,3,5,6]=>([(0,3),(0,6),(1,4),(1,6),(3,4),(3,5),(5,2),(6,5)],7)=>[4,3]
[2,4,1,7,3,6,5]=>([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7)=>[3,3,1]
[2,4,1,7,5,3,6]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7)=>[4,2,1]
[2,4,1,7,5,6,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7)=>[4,2,1]
[2,4,1,7,6,3,5]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7)=>[3,3,1]
[2,4,1,7,6,5,3]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7)=>[3,2,1,1]
[2,4,3,1,5,6,7]=>([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)=>[5,1,1]
[2,4,3,1,5,7,6]=>([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>[4,2,1]
[2,4,3,1,6,5,7]=>([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[2,4,3,1,6,7,5]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[2,4,3,1,7,5,6]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[2,4,3,1,7,6,5]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[2,4,3,5,1,6,7]=>([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7)=>[5,1,1]
[2,4,3,5,1,7,6]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(3,6),(6,4),(6,5)],7)=>[4,2,1]
[2,4,3,5,6,1,7]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)=>[5,1,1]
[2,4,3,5,6,7,1]=>([(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)=>[5,1,1]
[2,4,3,5,7,1,6]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(6,2),(6,5)],7)=>[4,2,1]
[2,4,3,5,7,6,1]=>([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>[4,2,1]
[2,4,3,6,1,5,7]=>([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[2,4,3,6,1,7,5]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>[4,2,1]
[2,4,3,6,5,1,7]=>([(0,6),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[2,4,3,6,5,7,1]=>([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[2,4,3,6,7,1,5]=>([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>[4,2,1]
[2,4,3,6,7,5,1]=>([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[2,4,3,7,1,5,6]=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[2,4,3,7,1,6,5]=>([(0,5),(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[2,4,3,7,5,1,6]=>([(0,2),(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[4,2,1]
[2,4,3,7,5,6,1]=>([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[2,4,3,7,6,1,5]=>([(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[2,4,3,7,6,5,1]=>([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[2,4,5,1,3,6,7]=>([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)=>[5,2]
[2,4,5,1,3,7,6]=>([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)=>[4,3]
[2,4,5,1,6,3,7]=>([(0,2),(0,6),(1,5),(1,6),(2,3),(3,5),(5,4),(6,4)],7)=>[5,2]
[2,4,5,1,6,7,3]=>([(0,5),(0,6),(1,4),(1,5),(3,6),(4,3),(6,2)],7)=>[5,2]
[2,4,5,1,7,3,6]=>([(0,2),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(6,4)],7)=>[4,3]
[2,4,5,1,7,6,3]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5)],7)=>[4,2,1]
[2,4,5,3,1,6,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>[5,1,1]
[2,4,5,3,1,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>[4,2,1]
[2,4,5,3,6,1,7]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7)=>[5,1,1]
[2,4,5,3,6,7,1]=>([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>[5,1,1]
[2,4,5,3,7,1,6]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>[4,2,1]
[2,4,5,3,7,6,1]=>([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>[4,2,1]
[2,4,5,6,1,3,7]=>([(0,6),(1,4),(1,6),(2,5),(3,2),(4,3),(6,5)],7)=>[5,2]
[2,4,5,6,1,7,3]=>([(0,5),(0,6),(1,4),(1,6),(2,5),(3,2),(4,3)],7)=>[5,2]
[2,4,5,6,3,1,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>[5,1,1]
[2,4,5,6,3,7,1]=>([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>[5,1,1]
[2,4,5,6,7,1,3]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>[5,2]
[2,4,5,6,7,3,1]=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7)=>[5,1,1]
[2,4,5,7,1,3,6]=>([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)=>[4,3]
[2,4,5,7,1,6,3]=>([(0,5),(0,6),(1,3),(1,6),(3,4),(4,2),(4,5)],7)=>[4,2,1]
[2,4,5,7,3,1,6]=>([(0,6),(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)=>[4,2,1]
[2,4,5,7,3,6,1]=>([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)=>[4,2,1]
[2,4,5,7,6,1,3]=>([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)=>[4,2,1]
[2,4,5,7,6,3,1]=>([(1,4),(1,5),(5,6),(6,2),(6,3)],7)=>[4,1,1,1]
[2,4,6,1,3,5,7]=>([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7)=>[4,3]
[2,4,6,1,3,7,5]=>([(0,6),(1,3),(1,6),(2,5),(3,2),(3,4),(6,4),(6,5)],7)=>[4,3]
[2,4,6,1,5,3,7]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[2,4,6,1,5,7,3]=>([(0,3),(0,5),(1,5),(1,6),(2,4),(3,2),(3,6),(6,4)],7)=>[4,2,1]
[2,4,6,1,7,3,5]=>([(0,3),(0,6),(1,5),(1,6),(2,5),(3,2),(3,4),(6,4)],7)=>[4,3]
[2,4,6,1,7,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,2),(3,4)],7)=>[4,2,1]
[2,4,6,3,1,5,7]=>([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6),(6,5)],7)=>[4,2,1]
[2,4,6,3,1,7,5]=>([(0,5),(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>[4,2,1]
[2,4,6,3,5,1,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>[4,2,1]
[2,4,6,3,5,7,1]=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>[4,2,1]
[2,4,6,3,7,1,5]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>[4,2,1]
[2,4,6,3,7,5,1]=>([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>[4,2,1]
[2,4,6,5,1,3,7]=>([(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3),(5,6)],7)=>[4,2,1]
[2,4,6,5,1,7,3]=>([(0,5),(0,6),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3)],7)=>[4,2,1]
[2,4,6,5,3,1,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>[4,1,1,1]
[2,4,6,5,3,7,1]=>([(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>[4,1,1,1]
[2,4,6,5,7,1,3]=>([(0,6),(1,4),(1,6),(2,5),(3,5),(4,2),(4,3)],7)=>[4,2,1]
[2,4,6,5,7,3,1]=>([(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>[4,1,1,1]
[2,4,6,7,1,3,5]=>([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7)=>[4,3]
[2,4,6,7,1,5,3]=>([(0,5),(0,6),(1,4),(1,6),(3,2),(4,3),(4,5)],7)=>[4,2,1]
[2,4,6,7,3,1,5]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)=>[4,2,1]
[2,4,6,7,3,5,1]=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)=>[4,2,1]
[2,4,6,7,5,1,3]=>([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7)=>[4,2,1]
[2,4,6,7,5,3,1]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)=>[4,1,1,1]
[2,4,7,1,3,5,6]=>([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)=>[4,3]
[2,4,7,1,3,6,5]=>([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>[3,3,1]
[2,4,7,1,5,3,6]=>([(0,3),(0,6),(1,5),(1,6),(3,2),(3,5),(5,4),(6,4)],7)=>[4,2,1]
[2,4,7,1,5,6,3]=>([(0,5),(0,6),(1,4),(1,5),(4,3),(4,6),(6,2)],7)=>[4,2,1]
[2,4,7,1,6,3,5]=>([(0,3),(0,6),(1,5),(1,6),(3,2),(3,4),(3,5),(6,4)],7)=>[3,3,1]
[2,4,7,1,6,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5)],7)=>[3,2,1,1]
[2,4,7,3,1,5,6]=>([(0,6),(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>[4,2,1]
[2,4,7,3,1,6,5]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>[3,2,2]
[2,4,7,3,5,1,6]=>([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(5,6)],7)=>[4,2,1]
[2,4,7,3,5,6,1]=>([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>[4,2,1]
[2,4,7,3,6,1,5]=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>[3,2,2]
[2,4,7,3,6,5,1]=>([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>[3,2,1,1]
[2,4,7,5,1,3,6]=>([(0,6),(1,4),(1,6),(3,5),(4,2),(4,3),(6,5)],7)=>[4,2,1]
[2,4,7,5,1,6,3]=>([(0,5),(0,6),(1,4),(1,6),(3,5),(4,2),(4,3)],7)=>[4,2,1]
[2,4,7,5,3,1,6]=>([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>[4,1,1,1]
[2,4,7,5,3,6,1]=>([(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>[4,1,1,1]
[2,4,7,5,6,1,3]=>([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7)=>[4,2,1]
[2,4,7,5,6,3,1]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)=>[4,1,1,1]
[2,4,7,6,1,3,5]=>([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)=>[3,3,1]
[2,4,7,6,1,5,3]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(4,3),(4,5)],7)=>[3,2,1,1]
[2,4,7,6,3,1,5]=>([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>[3,2,1,1]
[2,4,7,6,3,5,1]=>([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>[3,2,1,1]
[2,4,7,6,5,1,3]=>([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)=>[3,2,1,1]
[2,4,7,6,5,3,1]=>([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>[3,1,1,1,1]
[2,5,1,3,4,6,7]=>([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7)=>[5,2]
[2,5,1,3,4,7,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2)],7)=>[4,3]
[2,5,1,3,6,4,7]=>([(0,6),(1,3),(1,6),(2,4),(3,5),(5,4),(6,2),(6,5)],7)=>[4,3]
[2,5,1,3,6,7,4]=>([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>[4,3]
[2,5,1,3,7,4,6]=>([(0,6),(1,3),(1,6),(2,5),(3,4),(3,5),(6,2),(6,4)],7)=>[4,3]
[2,5,1,3,7,6,4]=>([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)=>[3,3,1]
[2,5,1,4,3,6,7]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7)=>[4,2,1]
[2,5,1,4,3,7,6]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[2,5,1,4,6,3,7]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(4,3),(5,4),(6,3)],7)=>[4,2,1]
[2,5,1,4,6,7,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(4,2),(6,4)],7)=>[4,2,1]
[2,5,1,4,7,3,6]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7)=>[3,3,1]
[2,5,1,4,7,6,3]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7)=>[3,3,1]
[2,5,1,6,3,4,7]=>([(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(5,2),(6,4)],7)=>[4,3]
[2,5,1,6,3,7,4]=>([(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,2),(6,4)],7)=>[4,3]
[2,5,1,6,4,3,7]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[2,5,1,6,4,7,3]=>([(0,2),(0,4),(0,6),(1,4),(1,5),(1,6),(2,5),(5,3),(6,3)],7)=>[4,2,1]
[2,5,1,6,7,3,4]=>([(0,5),(0,6),(1,2),(1,6),(2,5),(5,3),(6,4)],7)=>[4,3]
[2,5,1,6,7,4,3]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,2)],7)=>[4,2,1]
[2,5,1,7,3,4,6]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5),(6,2)],7)=>[4,3]
[2,5,1,7,3,6,4]=>([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,2),(6,4)],7)=>[3,3,1]
[2,5,1,7,4,3,6]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>[3,3,1]
[2,5,1,7,4,6,3]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(6,3)],7)=>[3,3,1]
[2,5,1,7,6,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(6,2)],7)=>[3,3,1]
[2,5,1,7,6,4,3]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7)=>[3,2,1,1]
[2,5,3,1,4,6,7]=>([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7)=>[5,1,1]
[2,5,3,1,4,7,6]=>([(0,2),(0,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>[4,2,1]
[2,5,3,1,6,4,7]=>([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[2,5,3,1,6,7,4]=>([(0,5),(0,6),(1,2),(1,4),(2,6),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[2,5,3,1,7,4,6]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>[4,2,1]
[2,5,3,1,7,6,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[2,5,3,4,1,6,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>[5,1,1]
[2,5,3,4,1,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>[4,2,1]
[2,5,3,4,6,1,7]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7)=>[5,1,1]
[2,5,3,4,6,7,1]=>([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>[5,1,1]
[2,5,3,4,7,1,6]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>[4,2,1]
[2,5,3,4,7,6,1]=>([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>[4,2,1]
[2,5,3,6,1,4,7]=>([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[2,5,3,6,1,7,4]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(3,5),(3,6),(6,4)],7)=>[4,2,1]
[2,5,3,6,4,1,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>[4,2,1]
[2,5,3,6,4,7,1]=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>[4,2,1]
[2,5,3,6,7,1,4]=>([(0,5),(1,3),(1,4),(3,6),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[2,5,3,6,7,4,1]=>([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>[4,2,1]
[2,5,3,7,1,4,6]=>([(0,2),(0,3),(1,6),(2,4),(2,5),(3,5),(3,6),(6,4)],7)=>[4,2,1]
[2,5,3,7,1,6,4]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[2,5,3,7,4,1,6]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)=>[4,2,1]
[2,5,3,7,4,6,1]=>([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>[4,2,1]
[2,5,3,7,6,1,4]=>([(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[2,5,3,7,6,4,1]=>([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>[3,2,1,1]
[2,5,4,1,3,6,7]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>[4,2,1]
[2,5,4,1,3,7,6]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[2,5,4,1,6,3,7]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[2,5,4,1,6,7,3]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(6,4)],7)=>[4,2,1]
[2,5,4,1,7,3,6]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[2,5,4,1,7,6,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>[3,2,2]
[2,5,4,3,1,6,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[2,5,4,3,1,7,6]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[2,5,4,3,6,1,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[2,5,4,3,6,7,1]=>([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[2,5,4,3,7,1,6]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[2,5,4,3,7,6,1]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[2,5,4,6,1,3,7]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>[4,2,1]
[2,5,4,6,1,7,3]=>([(0,2),(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(6,4)],7)=>[4,2,1]
[2,5,4,6,3,1,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
[2,5,4,6,3,7,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
[2,5,4,6,7,1,3]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>[4,2,1]
[2,5,4,6,7,3,1]=>([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[2,5,4,7,1,3,6]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[2,5,4,7,1,6,3]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>[3,2,2]
[2,5,4,7,3,1,6]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[2,5,4,7,3,6,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[2,5,4,7,6,1,3]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>[3,2,2]
[2,5,4,7,6,3,1]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[2,5,6,1,3,4,7]=>([(0,6),(1,4),(1,6),(2,5),(3,5),(4,3),(6,2)],7)=>[4,3]
[2,5,6,1,3,7,4]=>([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)=>[4,3]
[2,5,6,1,4,3,7]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[2,5,6,1,4,7,3]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(3,4),(6,4)],7)=>[4,2,1]
[2,5,6,1,7,3,4]=>([(0,5),(0,6),(1,4),(1,6),(3,5),(4,3),(6,2)],7)=>[4,3]
[2,5,6,1,7,4,3]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4)],7)=>[4,2,1]
[2,5,6,3,1,4,7]=>([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(6,5)],7)=>[4,2,1]
[2,5,6,3,1,7,4]=>([(0,5),(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2)],7)=>[4,2,1]
[2,5,6,3,4,1,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>[4,2,1]
[2,5,6,3,4,7,1]=>([(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>[4,2,1]
[2,5,6,3,7,1,4]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2)],7)=>[4,2,1]
[2,5,6,3,7,4,1]=>([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>[4,2,1]
[2,5,6,4,1,3,7]=>([(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7)=>[4,2,1]
[2,5,6,4,1,7,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7)=>[4,2,1]
[2,5,6,4,3,1,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,1,1,1]
[2,5,6,4,3,7,1]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,1,1,1]
[2,5,6,4,7,1,3]=>([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(4,2)],7)=>[4,2,1]
[2,5,6,4,7,3,1]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>[4,1,1,1]
[2,5,6,7,1,3,4]=>([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)=>[4,3]
[2,5,6,7,1,4,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3)],7)=>[4,2,1]
[2,5,6,7,3,1,4]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>[4,2,1]
[2,5,6,7,3,4,1]=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>[4,2,1]
[2,5,6,7,4,1,3]=>([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7)=>[4,2,1]
[2,5,6,7,4,3,1]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>[4,1,1,1]
[2,5,7,1,3,4,6]=>([(0,6),(1,4),(1,6),(3,5),(4,2),(4,5),(6,3)],7)=>[4,3]
[2,5,7,1,3,6,4]=>([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)=>[3,3,1]
[2,5,7,1,4,3,6]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>[3,3,1]
[2,5,7,1,4,6,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(3,4),(6,4)],7)=>[3,3,1]
[2,5,7,1,6,3,4]=>([(0,5),(0,6),(1,4),(1,6),(4,3),(4,5),(6,2)],7)=>[3,3,1]
[2,5,7,1,6,4,3]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4)],7)=>[3,2,1,1]
[2,5,7,3,1,4,6]=>([(0,6),(1,3),(1,4),(3,6),(4,2),(4,5),(6,5)],7)=>[4,2,1]
[2,5,7,3,1,6,4]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,6)],7)=>[3,2,2]
[2,5,7,3,4,1,6]=>([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>[4,2,1]
[2,5,7,3,4,6,1]=>([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>[4,2,1]
[2,5,7,3,6,1,4]=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7)=>[3,2,2]
[2,5,7,3,6,4,1]=>([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
[2,5,7,4,1,3,6]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>[3,3,1]
[2,5,7,4,1,6,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6)],7)=>[3,2,2]
[2,5,7,4,3,1,6]=>([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
[2,5,7,4,3,6,1]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
[2,5,7,4,6,1,3]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>[3,2,2]
[2,5,7,4,6,3,1]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
[2,5,7,6,1,3,4]=>([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)=>[3,3,1]
[2,5,7,6,1,4,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(4,3)],7)=>[3,2,1,1]
[2,5,7,6,3,1,4]=>([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3)],7)=>[3,2,1,1]
[2,5,7,6,3,4,1]=>([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>[3,2,1,1]
[2,5,7,6,4,1,3]=>([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>[3,2,1,1]
[2,5,7,6,4,3,1]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>[3,1,1,1,1]
[2,6,1,3,4,5,7]=>([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7)=>[5,2]
[2,6,1,3,4,7,5]=>([(0,6),(1,3),(1,6),(3,5),(4,2),(4,5),(6,4)],7)=>[4,3]
[2,6,1,3,5,4,7]=>([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)=>[4,2,1]
[2,6,1,3,5,7,4]=>([(0,6),(1,4),(1,6),(3,5),(4,5),(6,2),(6,3)],7)=>[4,2,1]
[2,6,1,3,7,4,5]=>([(0,6),(1,3),(1,6),(3,5),(4,2),(6,4),(6,5)],7)=>[4,3]
[2,6,1,3,7,5,4]=>([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>[3,3,1]
[2,6,1,4,3,5,7]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(4,3),(5,4),(6,4)],7)=>[4,2,1]
[2,6,1,4,3,7,5]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,3),(4,6),(5,3),(5,6)],7)=>[3,3,1]
[2,6,1,4,5,3,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,2,1]
[2,6,1,4,5,7,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(3,4),(6,2)],7)=>[4,2,1]
[2,6,1,4,7,3,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(5,3),(6,3),(6,4)],7)=>[3,3,1]
[2,6,1,4,7,5,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(6,2),(6,4)],7)=>[3,3,1]
[2,6,1,5,3,4,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,2,1]
[2,6,1,5,3,7,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>[3,3,1]
[2,6,1,5,4,3,7]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[2,6,1,5,4,7,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7)=>[3,2,1,1]
[2,6,1,5,7,3,4]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(5,2),(6,4)],7)=>[3,3,1]
[2,6,1,5,7,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7)=>[3,2,1,1]
[2,6,1,7,3,4,5]=>([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(6,4)],7)=>[4,3]
[2,6,1,7,3,5,4]=>([(0,5),(0,6),(1,4),(1,6),(4,5),(6,2),(6,3)],7)=>[3,3,1]
[2,6,1,7,4,3,5]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(5,3),(6,3)],7)=>[3,3,1]
[2,6,1,7,4,5,3]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(6,2)],7)=>[3,3,1]
[2,6,1,7,5,3,4]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(6,2)],7)=>[3,3,1]
[2,6,1,7,5,4,3]=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7)=>[3,2,1,1]
[2,6,3,1,4,5,7]=>([(0,6),(1,2),(1,4),(2,6),(3,5),(4,5),(6,3)],7)=>[5,1,1]
[2,6,3,1,4,7,5]=>([(0,6),(1,3),(1,4),(3,6),(4,5),(6,2),(6,5)],7)=>[4,2,1]
[2,6,3,1,5,4,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[2,6,3,1,5,7,4]=>([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>[4,2,1]
[2,6,3,1,7,4,5]=>([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4)],7)=>[4,2,1]
[2,6,3,1,7,5,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[2,6,3,4,1,5,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>[5,1,1]
[2,6,3,4,1,7,5]=>([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)=>[4,2,1]
[2,6,3,4,5,1,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>[5,1,1]
[2,6,3,4,5,7,1]=>([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>[5,1,1]
[2,6,3,4,7,1,5]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(4,2)],7)=>[4,2,1]
[2,6,3,4,7,5,1]=>([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)=>[4,2,1]
[2,6,3,5,1,4,7]=>([(0,5),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5),(5,6)],7)=>[4,2,1]
[2,6,3,5,1,7,4]=>([(0,5),(0,6),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5)],7)=>[4,2,1]
[2,6,3,5,4,1,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>[4,1,1,1]
[2,6,3,5,4,7,1]=>([(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>[4,1,1,1]
[2,6,3,5,7,1,4]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(4,6)],7)=>[4,2,1]
[2,6,3,5,7,4,1]=>([(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>[4,1,1,1]
[2,6,3,7,1,4,5]=>([(0,6),(1,3),(1,4),(3,5),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[2,6,3,7,1,5,4]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[2,6,3,7,4,1,5]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>[4,2,1]
[2,6,3,7,4,5,1]=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)=>[4,2,1]
[2,6,3,7,5,1,4]=>([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(4,6)],7)=>[3,2,2]
[2,6,3,7,5,4,1]=>([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>[3,2,1,1]
[2,6,4,1,3,5,7]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7)=>[4,2,1]
[2,6,4,1,3,7,5]=>([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[2,6,4,1,5,3,7]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[2,6,4,1,5,7,3]=>([(0,2),(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(6,4)],7)=>[4,2,1]
[2,6,4,1,7,3,5]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5)],7)=>[3,3,1]
[2,6,4,1,7,5,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6)],7)=>[3,2,2]
[2,6,4,3,1,5,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>[4,1,1,1]
[2,6,4,3,1,7,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[2,6,4,3,5,1,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
[2,6,4,3,5,7,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
[2,6,4,3,7,1,5]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[2,6,4,3,7,5,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[2,6,4,5,1,3,7]=>([(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7)=>[4,2,1]
[2,6,4,5,1,7,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7)=>[4,2,1]
[2,6,4,5,3,1,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,1,1,1]
[2,6,4,5,3,7,1]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,1,1,1]
[2,6,4,5,7,1,3]=>([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(4,2)],7)=>[4,2,1]
[2,6,4,5,7,3,1]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>[4,1,1,1]
[2,6,4,7,1,3,5]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>[3,3,1]
[2,6,4,7,1,5,3]=>([(0,2),(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5)],7)=>[3,2,2]
[2,6,4,7,3,1,5]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>[3,2,1,1]
[2,6,4,7,3,5,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>[3,2,1,1]
[2,6,4,7,5,1,3]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>[3,2,2]
[2,6,4,7,5,3,1]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
[2,6,5,1,3,4,7]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,4)],7)=>[4,2,1]
[2,6,5,1,3,7,4]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>[3,3,1]
[2,6,5,1,4,3,7]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[2,6,5,1,4,7,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7)=>[3,2,1,1]
[2,6,5,1,7,3,4]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4)],7)=>[3,3,1]
[2,6,5,1,7,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7)=>[3,2,1,1]
[2,6,5,3,1,4,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7)=>[4,1,1,1]
[2,6,5,3,1,7,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[2,6,5,3,4,1,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,1,1,1]
[2,6,5,3,4,7,1]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,1,1,1]
[2,6,5,3,7,1,4]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[2,6,5,3,7,4,1]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
[2,6,5,4,1,3,7]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[2,6,5,4,1,7,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>[3,2,1,1]
[2,6,5,4,3,1,7]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[2,6,5,4,3,7,1]=>([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[2,6,5,4,7,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>[3,2,1,1]
[2,6,5,4,7,3,1]=>([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[2,6,5,7,1,3,4]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)=>[3,3,1]
[2,6,5,7,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(3,4)],7)=>[3,2,1,1]
[2,6,5,7,3,1,4]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5)],7)=>[3,2,1,1]
[2,6,5,7,3,4,1]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>[3,2,1,1]
[2,6,5,7,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>[3,2,1,1]
[2,6,5,7,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[2,6,7,1,3,4,5]=>([(0,6),(1,4),(1,6),(4,3),(5,2),(6,5)],7)=>[4,3]
[2,6,7,1,3,5,4]=>([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)=>[3,3,1]
[2,6,7,1,4,3,5]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(5,4),(6,4)],7)=>[3,3,1]
[2,6,7,1,4,5,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(6,2)],7)=>[3,3,1]
[2,6,7,1,5,3,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(6,2)],7)=>[3,3,1]
[2,6,7,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,2)],7)=>[3,2,1,1]
[2,6,7,3,1,4,5]=>([(0,6),(1,3),(1,5),(3,6),(5,2),(6,4)],7)=>[4,2,1]
[2,6,7,3,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2)],7)=>[3,2,2]
[2,6,7,3,4,1,5]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>[4,2,1]
[2,6,7,3,4,5,1]=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>[4,2,1]
[2,6,7,3,5,1,4]=>([(0,6),(1,4),(1,5),(4,3),(5,2),(5,6)],7)=>[3,2,2]
[2,6,7,3,5,4,1]=>([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>[3,2,1,1]
[2,6,7,4,1,3,5]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>[3,3,1]
[2,6,7,4,1,5,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(3,5),(4,2)],7)=>[3,2,2]
[2,6,7,4,3,1,5]=>([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>[3,2,1,1]
[2,6,7,4,3,5,1]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>[3,2,1,1]
[2,6,7,4,5,1,3]=>([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)=>[3,2,2]
[2,6,7,4,5,3,1]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>[3,2,1,1]
[2,6,7,5,1,3,4]=>([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>[3,3,1]
[2,6,7,5,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,2)],7)=>[3,2,1,1]
[2,6,7,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>[3,2,1,1]
[2,6,7,5,3,4,1]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>[3,2,1,1]
[2,6,7,5,4,1,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>[3,2,1,1]
[2,6,7,5,4,3,1]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,1,1,1,1]
[2,7,1,3,4,5,6]=>([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7)=>[5,2]
[2,7,1,3,4,6,5]=>([(0,6),(1,4),(1,6),(5,2),(5,3),(6,5)],7)=>[4,2,1]
[2,7,1,3,5,4,6]=>([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)=>[4,2,1]
[2,7,1,3,5,6,4]=>([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7)=>[4,2,1]
[2,7,1,3,6,4,5]=>([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7)=>[4,2,1]
[2,7,1,3,6,5,4]=>([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)=>[3,2,1,1]
[2,7,1,4,3,5,6]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(5,4),(6,4)],7)=>[4,2,1]
[2,7,1,4,3,6,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(5,3),(5,4),(6,3),(6,4)],7)=>[3,3,1]
[2,7,1,4,5,3,6]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(5,3),(6,4)],7)=>[4,2,1]
[2,7,1,4,5,6,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7)=>[4,2,1]
[2,7,1,4,6,3,5]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(5,4),(6,2),(6,4)],7)=>[3,3,1]
[2,7,1,4,6,5,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>[3,2,1,1]
[2,7,1,5,3,4,6]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(5,3),(6,4)],7)=>[4,2,1]
[2,7,1,5,3,6,4]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(5,4),(6,2),(6,4)],7)=>[3,3,1]
[2,7,1,5,4,3,6]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[2,7,1,5,4,6,3]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(5,3),(6,3)],7)=>[3,2,1,1]
[2,7,1,5,6,3,4]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,3)],7)=>[3,3,1]
[2,7,1,5,6,4,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
[2,7,1,6,3,4,5]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7)=>[4,2,1]
[2,7,1,6,3,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>[3,2,1,1]
[2,7,1,6,4,3,5]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(5,3),(6,3)],7)=>[3,2,1,1]
[2,7,1,6,4,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
[2,7,1,6,5,3,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
[2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>[2,2,1,1,1]
[2,7,3,1,4,5,6]=>([(0,6),(1,3),(1,4),(4,6),(5,2),(6,5)],7)=>[5,1,1]
[2,7,3,1,4,6,5]=>([(0,6),(1,2),(1,3),(3,6),(6,4),(6,5)],7)=>[4,2,1]
[2,7,3,1,5,4,6]=>([(0,2),(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[2,7,3,1,5,6,4]=>([(0,5),(0,6),(1,3),(1,4),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[2,7,3,1,6,4,5]=>([(0,5),(0,6),(1,3),(1,4),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[2,7,3,1,6,5,4]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[2,7,3,4,1,5,6]=>([(0,6),(1,2),(1,5),(3,6),(5,3),(6,4)],7)=>[5,1,1]
[2,7,3,4,1,6,5]=>([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)=>[4,2,1]
[2,7,3,4,5,1,6]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>[5,1,1]
[2,7,3,4,5,6,1]=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7)=>[5,1,1]
[2,7,3,4,6,1,5]=>([(0,6),(1,3),(1,4),(4,5),(5,2),(5,6)],7)=>[4,2,1]
[2,7,3,4,6,5,1]=>([(1,4),(1,5),(5,6),(6,2),(6,3)],7)=>[4,1,1,1]
[2,7,3,5,1,4,6]=>([(0,6),(1,2),(1,4),(3,5),(4,3),(4,6),(6,5)],7)=>[4,2,1]
[2,7,3,5,1,6,4]=>([(0,5),(0,6),(1,2),(1,4),(3,5),(4,3),(4,6)],7)=>[4,2,1]
[2,7,3,5,4,1,6]=>([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>[4,1,1,1]
[2,7,3,5,4,6,1]=>([(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>[4,1,1,1]
[2,7,3,5,6,1,4]=>([(0,6),(1,3),(1,5),(4,2),(5,4),(5,6)],7)=>[4,2,1]
[2,7,3,5,6,4,1]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)=>[4,1,1,1]
[2,7,3,6,1,4,5]=>([(0,6),(1,3),(1,5),(5,2),(5,6),(6,4)],7)=>[4,2,1]
[2,7,3,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(4,2),(4,5),(4,6)],7)=>[3,2,1,1]
[2,7,3,6,4,1,5]=>([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)=>[4,1,1,1]
[2,7,3,6,4,5,1]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)=>[4,1,1,1]
[2,7,3,6,5,1,4]=>([(0,6),(1,4),(1,5),(5,2),(5,3),(5,6)],7)=>[3,2,1,1]
[2,7,3,6,5,4,1]=>([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>[3,1,1,1,1]
[2,7,4,1,3,5,6]=>([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>[4,2,1]
[2,7,4,1,3,6,5]=>([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>[3,3,1]
[2,7,4,1,5,3,6]=>([(0,2),(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,4)],7)=>[4,2,1]
[2,7,4,1,5,6,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(4,6),(6,2)],7)=>[4,2,1]
[2,7,4,1,6,3,5]=>([(0,2),(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,4)],7)=>[3,3,1]
[2,7,4,1,6,5,3]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7)=>[3,2,1,1]
[2,7,4,3,1,5,6]=>([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[2,7,4,3,1,6,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[2,7,4,3,5,1,6]=>([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
[2,7,4,3,5,6,1]=>([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[2,7,4,3,6,1,5]=>([(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[2,7,4,3,6,5,1]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[2,7,4,5,1,3,6]=>([(0,6),(1,2),(1,4),(1,6),(3,5),(4,3),(6,5)],7)=>[4,2,1]
[2,7,4,5,1,6,3]=>([(0,5),(0,6),(1,2),(1,4),(1,6),(3,5),(4,3)],7)=>[4,2,1]
[2,7,4,5,3,1,6]=>([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>[4,1,1,1]
[2,7,4,5,3,6,1]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>[4,1,1,1]
[2,7,4,5,6,1,3]=>([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7)=>[4,2,1]
[2,7,4,5,6,3,1]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>[4,1,1,1]
[2,7,4,6,1,3,5]=>([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>[3,3,1]
[2,7,4,6,1,5,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(4,2),(4,5)],7)=>[3,2,1,1]
[2,7,4,6,3,1,5]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
[2,7,4,6,3,5,1]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
[2,7,4,6,5,1,3]=>([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>[3,2,1,1]
[2,7,4,6,5,3,1]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>[3,1,1,1,1]
[2,7,5,1,3,4,6]=>([(0,6),(1,2),(1,4),(1,6),(3,5),(4,5),(6,3)],7)=>[4,2,1]
[2,7,5,1,3,6,4]=>([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>[3,3,1]
[2,7,5,1,4,3,6]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[2,7,5,1,4,6,3]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(3,4),(6,4)],7)=>[3,2,1,1]
[2,7,5,1,6,3,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(4,5),(6,2)],7)=>[3,3,1]
[2,7,5,1,6,4,3]=>([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7)=>[3,2,1,1]
[2,7,5,3,1,4,6]=>([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)=>[4,1,1,1]
[2,7,5,3,1,6,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[2,7,5,3,4,1,6]=>([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>[4,1,1,1]
[2,7,5,3,4,6,1]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>[4,1,1,1]
[2,7,5,3,6,1,4]=>([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(4,6)],7)=>[3,2,1,1]
[2,7,5,3,6,4,1]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
[2,7,5,4,1,3,6]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[2,7,5,4,1,6,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7)=>[3,2,1,1]
[2,7,5,4,3,1,6]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[2,7,5,4,3,6,1]=>([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[2,7,5,4,6,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>[3,2,1,1]
[2,7,5,4,6,3,1]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[2,7,5,6,1,3,4]=>([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>[3,3,1]
[2,7,5,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,2)],7)=>[3,2,1,1]
[2,7,5,6,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>[3,2,1,1]
[2,7,5,6,3,4,1]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>[3,2,1,1]
[2,7,5,6,4,1,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>[3,2,1,1]
[2,7,5,6,4,3,1]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,1,1,1,1]
[2,7,6,1,3,4,5]=>([(0,6),(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>[4,2,1]
[2,7,6,1,3,5,4]=>([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)=>[3,2,1,1]
[2,7,6,1,4,3,5]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(5,4),(6,4)],7)=>[3,2,1,1]
[2,7,6,1,4,5,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
[2,7,6,1,5,3,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
[2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>[2,2,1,1,1]
[2,7,6,3,1,4,5]=>([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)=>[4,1,1,1]
[2,7,6,3,1,5,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>[3,2,1,1]
[2,7,6,3,4,1,5]=>([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)=>[4,1,1,1]
[2,7,6,3,4,5,1]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>[4,1,1,1]
[2,7,6,3,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(5,2),(5,6)],7)=>[3,2,1,1]
[2,7,6,3,5,4,1]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>[3,1,1,1,1]
[2,7,6,4,1,3,5]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)=>[3,2,1,1]
[2,7,6,4,1,5,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7)=>[3,2,1,1]
[2,7,6,4,3,1,5]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[2,7,6,4,3,5,1]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[2,7,6,4,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>[3,2,1,1]
[2,7,6,4,5,3,1]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,1,1,1,1]
[2,7,6,5,1,3,4]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)=>[3,2,1,1]
[2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>[2,2,1,1,1]
[2,7,6,5,3,1,4]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>[3,1,1,1,1]
[2,7,6,5,3,4,1]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,1,1,1,1]
[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>[2,2,1,1,1]
[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>[2,1,1,1,1,1]
[3,1,2,4,5,6,7]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)=>[6,1]
[3,1,2,4,5,7,6]=>([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7)=>[5,2]
[3,1,2,4,6,5,7]=>([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>[5,2]
[3,1,2,4,6,7,5]=>([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7)=>[5,2]
[3,1,2,4,7,5,6]=>([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7)=>[5,2]
[3,1,2,4,7,6,5]=>([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],7)=>[4,2,1]
[3,1,2,5,4,6,7]=>([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7)=>[5,2]
[3,1,2,5,4,7,6]=>([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>[4,3]
[3,1,2,5,6,4,7]=>([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7)=>[5,2]
[3,1,2,5,6,7,4]=>([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7)=>[5,2]
[3,1,2,5,7,4,6]=>([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7)=>[4,3]
[3,1,2,5,7,6,4]=>([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7)=>[4,2,1]
[3,1,2,6,4,5,7]=>([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7)=>[5,2]
[3,1,2,6,4,7,5]=>([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7)=>[4,3]
[3,1,2,6,5,4,7]=>([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[3,1,2,6,5,7,4]=>([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>[4,2,1]
[3,1,2,6,7,4,5]=>([(0,5),(0,6),(1,2),(2,5),(2,6),(5,4),(6,3)],7)=>[4,3]
[3,1,2,6,7,5,4]=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)=>[4,2,1]
[3,1,2,7,4,5,6]=>([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7)=>[5,2]
[3,1,2,7,4,6,5]=>([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7)=>[4,2,1]
[3,1,2,7,5,4,6]=>([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>[4,2,1]
[3,1,2,7,5,6,4]=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)=>[4,2,1]
[3,1,2,7,6,4,5]=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)=>[4,2,1]
[3,1,2,7,6,5,4]=>([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[3,2,1,1]
[3,1,4,2,5,6,7]=>([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7)=>[5,2]
[3,1,4,2,5,7,6]=>([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)=>[4,3]
[3,1,4,2,6,5,7]=>([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>[4,3]
[3,1,4,2,6,7,5]=>([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7)=>[4,3]
[3,1,4,2,7,5,6]=>([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7)=>[4,3]
[3,1,4,2,7,6,5]=>([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>[3,3,1]
[3,1,4,5,2,6,7]=>([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7)=>[5,2]
[3,1,4,5,2,7,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2)],7)=>[4,3]
[3,1,4,5,6,2,7]=>([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7)=>[5,2]
[3,1,4,5,6,7,2]=>([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7)=>[5,2]
[3,1,4,5,7,2,6]=>([(0,6),(1,3),(1,6),(3,5),(4,2),(4,5),(6,4)],7)=>[4,3]
[3,1,4,5,7,6,2]=>([(0,6),(1,4),(1,6),(5,2),(5,3),(6,5)],7)=>[4,2,1]
[3,1,4,6,2,5,7]=>([(0,6),(1,3),(1,6),(2,4),(3,5),(5,4),(6,2),(6,5)],7)=>[4,3]
[3,1,4,6,2,7,5]=>([(0,6),(1,3),(1,6),(2,5),(3,4),(3,5),(6,2),(6,4)],7)=>[4,3]
[3,1,4,6,5,2,7]=>([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)=>[4,2,1]
[3,1,4,6,5,7,2]=>([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)=>[4,2,1]
[3,1,4,6,7,2,5]=>([(0,6),(1,3),(1,6),(3,5),(4,2),(6,4),(6,5)],7)=>[4,3]
[3,1,4,6,7,5,2]=>([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7)=>[4,2,1]
[3,1,4,7,2,5,6]=>([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>[4,3]
[3,1,4,7,2,6,5]=>([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)=>[3,3,1]
[3,1,4,7,5,2,6]=>([(0,6),(1,4),(1,6),(3,5),(4,5),(6,2),(6,3)],7)=>[4,2,1]
[3,1,4,7,5,6,2]=>([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7)=>[4,2,1]
[3,1,4,7,6,2,5]=>([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>[3,3,1]
[3,1,4,7,6,5,2]=>([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)=>[3,2,1,1]
[3,1,5,2,4,6,7]=>([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7)=>[5,2]
[3,1,5,2,4,7,6]=>([(0,2),(0,6),(1,5),(1,6),(2,5),(5,3),(5,4),(6,3),(6,4)],7)=>[4,3]
[3,1,5,2,6,4,7]=>([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],7)=>[4,3]
[3,1,5,2,6,7,4]=>([(0,3),(0,6),(1,4),(1,6),(3,4),(3,5),(5,2),(6,5)],7)=>[4,3]
[3,1,5,2,7,4,6]=>([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7)=>[4,3]
[3,1,5,2,7,6,4]=>([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7)=>[3,3,1]
[3,1,5,4,2,6,7]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7)=>[4,2,1]
[3,1,5,4,2,7,6]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[3,1,5,4,6,2,7]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(4,3),(5,4),(6,4)],7)=>[4,2,1]
[3,1,5,4,6,7,2]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(5,4),(6,4)],7)=>[4,2,1]
[3,1,5,4,7,2,6]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,3),(4,6),(5,3),(5,6)],7)=>[3,3,1]
[3,1,5,4,7,6,2]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(5,3),(5,4),(6,3),(6,4)],7)=>[3,3,1]
[3,1,5,6,2,4,7]=>([(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(5,2),(6,4)],7)=>[4,3]
[3,1,5,6,2,7,4]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5),(6,2)],7)=>[4,3]
[3,1,5,6,4,2,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,2,1]
[3,1,5,6,4,7,2]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(5,3),(6,4)],7)=>[4,2,1]
[3,1,5,6,7,2,4]=>([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(6,4)],7)=>[4,3]
[3,1,5,6,7,4,2]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7)=>[4,2,1]
[3,1,5,7,2,4,6]=>([(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,2),(6,4)],7)=>[4,3]
[3,1,5,7,2,6,4]=>([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,2),(6,4)],7)=>[3,3,1]
[3,1,5,7,4,2,6]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>[3,3,1]
[3,1,5,7,4,6,2]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(5,4),(6,2),(6,4)],7)=>[3,3,1]
[3,1,5,7,6,2,4]=>([(0,5),(0,6),(1,4),(1,6),(4,5),(6,2),(6,3)],7)=>[3,3,1]
[3,1,5,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>[3,2,1,1]
[3,1,6,2,4,5,7]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7)=>[5,2]
[3,1,6,2,4,7,5]=>([(0,3),(0,6),(1,5),(1,6),(3,5),(5,2),(5,4),(6,4)],7)=>[4,3]
[3,1,6,2,5,4,7]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[3,1,6,2,5,7,4]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7)=>[4,2,1]
[3,1,6,2,7,4,5]=>([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(5,2),(6,4)],7)=>[4,3]
[3,1,6,2,7,5,4]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7)=>[3,3,1]
[3,1,6,4,2,5,7]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(4,3),(5,4),(6,3)],7)=>[4,2,1]
[3,1,6,4,2,7,5]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7)=>[3,3,1]
[3,1,6,4,5,2,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,2,1]
[3,1,6,4,5,7,2]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(5,3),(6,4)],7)=>[4,2,1]
[3,1,6,4,7,2,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(5,3),(6,3),(6,4)],7)=>[3,3,1]
[3,1,6,4,7,5,2]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(5,4),(6,2),(6,4)],7)=>[3,3,1]
[3,1,6,5,2,4,7]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[3,1,6,5,2,7,4]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>[3,3,1]
[3,1,6,5,4,2,7]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[3,1,6,5,4,7,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[3,1,6,5,7,2,4]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(5,3),(6,3)],7)=>[3,3,1]
[3,1,6,5,7,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(5,3),(6,3)],7)=>[3,2,1,1]
[3,1,6,7,2,4,5]=>([(0,5),(0,6),(1,2),(1,6),(2,5),(5,3),(6,4)],7)=>[4,3]
[3,1,6,7,2,5,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(6,2)],7)=>[3,3,1]
[3,1,6,7,4,2,5]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(5,2),(6,4)],7)=>[3,3,1]
[3,1,6,7,4,5,2]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,3)],7)=>[3,3,1]
[3,1,6,7,5,2,4]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(6,2)],7)=>[3,3,1]
[3,1,6,7,5,4,2]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
[3,1,7,2,4,5,6]=>([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(5,4)],7)=>[5,2]
[3,1,7,2,4,6,5]=>([(0,5),(0,6),(1,4),(1,5),(4,6),(6,2),(6,3)],7)=>[4,2,1]
[3,1,7,2,5,4,6]=>([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3)],7)=>[4,2,1]
[3,1,7,2,5,6,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7)=>[4,2,1]
[3,1,7,2,6,4,5]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7)=>[4,2,1]
[3,1,7,2,6,5,4]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7)=>[3,2,1,1]
[3,1,7,4,2,5,6]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(4,2),(6,4)],7)=>[4,2,1]
[3,1,7,4,2,6,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7)=>[3,3,1]
[3,1,7,4,5,2,6]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(3,4),(6,2)],7)=>[4,2,1]
[3,1,7,4,5,6,2]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7)=>[4,2,1]
[3,1,7,4,6,2,5]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(6,2),(6,4)],7)=>[3,3,1]
[3,1,7,4,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>[3,2,1,1]
[3,1,7,5,2,4,6]=>([(0,2),(0,4),(0,6),(1,4),(1,5),(1,6),(2,5),(5,3),(6,3)],7)=>[4,2,1]
[3,1,7,5,2,6,4]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(6,3)],7)=>[3,3,1]
[3,1,7,5,4,2,6]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7)=>[3,2,1,1]
[3,1,7,5,4,6,2]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(5,3),(6,3)],7)=>[3,2,1,1]
[3,1,7,5,6,2,4]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(6,2)],7)=>[3,3,1]
[3,1,7,5,6,4,2]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
[3,1,7,6,2,4,5]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,2)],7)=>[4,2,1]
[3,1,7,6,2,5,4]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7)=>[3,2,1,1]
[3,1,7,6,4,2,5]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7)=>[3,2,1,1]
[3,1,7,6,4,5,2]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
[3,1,7,6,5,2,4]=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7)=>[3,2,1,1]
[3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>[2,2,1,1,1]
[3,2,1,4,5,6,7]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>[5,1,1]
[3,2,1,4,5,7,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>[4,2,1]
[3,2,1,4,6,5,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>[4,2,1]
[3,2,1,4,6,7,5]=>([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>[4,2,1]
[3,2,1,4,7,5,6]=>([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>[4,2,1]
[3,2,1,4,7,6,5]=>([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>[3,2,2]
[3,2,1,5,4,6,7]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>[4,2,1]
[3,2,1,5,4,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>[3,3,1]
[3,2,1,5,6,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)=>[4,2,1]
[3,2,1,5,6,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>[4,2,1]
[3,2,1,5,7,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>[3,3,1]
[3,2,1,5,7,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>[3,2,2]
[3,2,1,6,4,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)=>[4,2,1]
[3,2,1,6,4,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>[3,3,1]
[3,2,1,6,5,4,7]=>([(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)=>[3,2,2]
[3,2,1,6,5,7,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>[3,2,2]
[3,2,1,6,7,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>[3,3,1]
[3,2,1,6,7,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[3,2,1,7,4,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>[4,2,1]
[3,2,1,7,4,6,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>[3,2,2]
[3,2,1,7,5,4,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>[3,2,2]
[3,2,1,7,5,6,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[3,2,1,7,6,4,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[3,2,1,7,6,5,4]=>([(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)=>[2,2,2,1]
[3,2,4,1,5,6,7]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>[5,1,1]
[3,2,4,1,5,7,6]=>([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>[4,2,1]
[3,2,4,1,6,5,7]=>([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>[4,2,1]
[3,2,4,1,6,7,5]=>([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[3,2,4,1,7,5,6]=>([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[3,2,4,1,7,6,5]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>[3,2,2]
[3,2,4,5,1,6,7]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)=>[5,1,1]
[3,2,4,5,1,7,6]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)=>[4,2,1]
[3,2,4,5,6,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)=>[5,1,1]
[3,2,4,5,6,7,1]=>([(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>[5,1,1]
[3,2,4,5,7,1,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)=>[4,2,1]
[3,2,4,5,7,6,1]=>([(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>[4,2,1]
[3,2,4,6,1,5,7]=>([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>[4,2,1]
[3,2,4,6,1,7,5]=>([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)=>[4,2,1]
[3,2,4,6,5,1,7]=>([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>[4,2,1]
[3,2,4,6,5,7,1]=>([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>[4,2,1]
[3,2,4,6,7,1,5]=>([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)=>[4,2,1]
[3,2,4,6,7,5,1]=>([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>[4,2,1]
[3,2,4,7,1,5,6]=>([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)=>[4,2,1]
[3,2,4,7,1,6,5]=>([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>[3,2,2]
[3,2,4,7,5,1,6]=>([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)=>[4,2,1]
[3,2,4,7,5,6,1]=>([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>[4,2,1]
[3,2,4,7,6,1,5]=>([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)=>[3,2,2]
[3,2,4,7,6,5,1]=>([(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>[3,2,1,1]
[3,2,5,1,4,6,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>[4,2,1]
[3,2,5,1,4,7,6]=>([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>[3,3,1]
[3,2,5,1,6,4,7]=>([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>[4,2,1]
[3,2,5,1,6,7,4]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>[4,2,1]
[3,2,5,1,7,4,6]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>[3,3,1]
[3,2,5,1,7,6,4]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>[3,2,2]
[3,2,5,4,1,6,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>[4,2,1]
[3,2,5,4,1,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[3,2,5,4,6,1,7]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>[4,2,1]
[3,2,5,4,6,7,1]=>([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>[4,2,1]
[3,2,5,4,7,1,6]=>([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[3,2,5,4,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>[3,3,1]
[3,2,5,6,1,4,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)=>[4,2,1]
[3,2,5,6,1,7,4]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>[4,2,1]
[3,2,5,6,4,1,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>[4,2,1]
[3,2,5,6,4,7,1]=>([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>[4,2,1]
[3,2,5,6,7,1,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)=>[4,2,1]
[3,2,5,6,7,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>[4,2,1]
[3,2,5,7,1,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)=>[3,3,1]
[3,2,5,7,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)=>[3,2,2]
[3,2,5,7,4,1,6]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>[3,3,1]
[3,2,5,7,4,6,1]=>([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>[3,3,1]
[3,2,5,7,6,1,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)=>[3,2,2]
[3,2,5,7,6,4,1]=>([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>[3,2,1,1]
[3,2,6,1,4,5,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>[4,2,1]
[3,2,6,1,4,7,5]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>[3,3,1]
[3,2,6,1,5,4,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[3,2,6,1,5,7,4]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>[3,2,2]
[3,2,6,1,7,4,5]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>[3,3,1]
[3,2,6,1,7,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>[3,2,2]
[3,2,6,4,1,5,7]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>[4,2,1]
[3,2,6,4,1,7,5]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[3,2,6,4,5,1,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>[4,2,1]
[3,2,6,4,5,7,1]=>([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>[4,2,1]
[3,2,6,4,7,1,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>[3,3,1]
[3,2,6,4,7,5,1]=>([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>[3,3,1]
[3,2,6,5,1,4,7]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[3,2,6,5,1,7,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,2]
[3,2,6,5,4,1,7]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[3,2,6,5,4,7,1]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[3,2,6,5,7,1,4]=>([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>[3,2,2]
[3,2,6,5,7,4,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>[3,2,1,1]
[3,2,6,7,1,4,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>[3,3,1]
[3,2,6,7,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3)],7)=>[3,2,2]
[3,2,6,7,4,1,5]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>[3,3,1]
[3,2,6,7,4,5,1]=>([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>[3,3,1]
[3,2,6,7,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>[3,2,2]
[3,2,6,7,5,4,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
[3,2,7,1,4,5,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>[4,2,1]
[3,2,7,1,4,6,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>[3,2,2]
[3,2,7,1,5,4,6]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>[3,2,2]
[3,2,7,1,5,6,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[3,2,7,1,6,4,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[3,2,7,4,1,5,6]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>[4,2,1]
[3,2,7,4,1,6,5]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>[3,2,2]
[3,2,7,4,5,1,6]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)=>[4,2,1]
[3,2,7,4,5,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>[4,2,1]
[3,2,7,4,6,1,5]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)=>[3,2,2]
[3,2,7,4,6,5,1]=>([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>[3,2,1,1]
[3,2,7,5,1,4,6]=>([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>[3,2,2]
[3,2,7,5,1,6,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,2]
[3,2,7,5,4,1,6]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[3,2,7,5,4,6,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>[3,2,1,1]
[3,2,7,5,6,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>[3,2,2]
[3,2,7,5,6,4,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
[3,2,7,6,1,4,5]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[3,2,7,6,4,1,5]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
[3,2,7,6,4,5,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
[3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
[3,4,1,2,5,6,7]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)=>[5,2]
[3,4,1,2,5,7,6]=>([(0,5),(1,4),(4,6),(5,6),(6,2),(6,3)],7)=>[4,3]
[3,4,1,2,6,5,7]=>([(0,3),(1,2),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,3]
[3,4,1,2,6,7,5]=>([(0,4),(1,3),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>[4,3]
[3,4,1,2,7,5,6]=>([(0,4),(1,3),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>[4,3]
[3,4,1,2,7,6,5]=>([(0,3),(1,2),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,3,1]
[3,4,1,5,2,6,7]=>([(0,4),(1,3),(1,5),(3,6),(4,5),(5,6),(6,2)],7)=>[5,2]
[3,4,1,5,2,7,6]=>([(0,2),(1,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>[4,3]
[3,4,1,5,6,2,7]=>([(0,3),(1,4),(1,6),(2,5),(3,6),(4,5),(6,2)],7)=>[5,2]
[3,4,1,5,6,7,2]=>([(0,4),(1,3),(1,6),(4,6),(5,2),(6,5)],7)=>[5,2]
[3,4,1,5,7,2,6]=>([(0,3),(1,4),(1,6),(3,6),(4,5),(6,2),(6,5)],7)=>[4,3]
[3,4,1,5,7,6,2]=>([(0,5),(1,4),(1,6),(5,6),(6,2),(6,3)],7)=>[4,2,1]
[3,4,1,6,2,5,7]=>([(0,3),(1,2),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,3]
[3,4,1,6,2,7,5]=>([(0,3),(1,2),(1,6),(2,4),(2,5),(3,4),(3,6),(6,5)],7)=>[4,3]
[3,4,1,6,5,2,7]=>([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[3,4,1,6,5,7,2]=>([(0,3),(1,2),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[3,4,1,6,7,2,5]=>([(0,4),(1,3),(1,6),(3,5),(4,5),(4,6),(6,2)],7)=>[4,3]
[3,4,1,6,7,5,2]=>([(0,4),(1,3),(1,5),(1,6),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[3,4,1,7,2,5,6]=>([(0,4),(1,3),(1,5),(3,6),(4,5),(4,6),(6,2)],7)=>[4,3]
[3,4,1,7,2,6,5]=>([(0,3),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,3,1]
[3,4,1,7,5,2,6]=>([(0,3),(1,2),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>[4,2,1]
[3,4,1,7,5,6,2]=>([(0,4),(1,3),(1,5),(1,6),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[3,4,1,7,6,2,5]=>([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,3,1]
[3,4,1,7,6,5,2]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[3,4,2,1,5,6,7]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>[5,1,1]
[3,4,2,1,5,7,6]=>([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>[4,2,1]
[3,4,2,1,6,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[3,4,2,1,6,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[3,4,2,1,7,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[3,4,2,1,7,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[3,4,2,5,1,6,7]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)=>[5,1,1]
[3,4,2,5,1,7,6]=>([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>[4,2,1]
[3,4,2,5,6,1,7]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>[5,1,1]
[3,4,2,5,6,7,1]=>([(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>[5,1,1]
[3,4,2,5,7,1,6]=>([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>[4,2,1]
[3,4,2,5,7,6,1]=>([(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>[4,2,1]
[3,4,2,6,1,5,7]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[3,4,2,6,1,7,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>[4,2,1]
[3,4,2,6,5,1,7]=>([(0,6),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[3,4,2,6,5,7,1]=>([(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[3,4,2,6,7,1,5]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>[4,2,1]
[3,4,2,6,7,5,1]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[3,4,2,7,1,5,6]=>([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[3,4,2,7,1,6,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[3,4,2,7,5,1,6]=>([(0,4),(1,5),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>[4,2,1]
[3,4,2,7,5,6,1]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[3,4,2,7,6,1,5]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[3,4,2,7,6,5,1]=>([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[3,4,5,1,2,6,7]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)=>[5,2]
[3,4,5,1,2,7,6]=>([(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>[4,3]
[3,4,5,1,6,2,7]=>([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>[5,2]
[3,4,5,1,6,7,2]=>([(0,5),(1,4),(1,6),(2,6),(5,2),(6,3)],7)=>[5,2]
[3,4,5,1,7,2,6]=>([(0,3),(0,6),(1,4),(2,5),(2,6),(3,5),(4,2)],7)=>[4,3]
[3,4,5,1,7,6,2]=>([(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(4,2)],7)=>[4,2,1]
[3,4,5,2,1,6,7]=>([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>[5,1,1]
[3,4,5,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>[4,2,1]
[3,4,5,2,6,1,7]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)=>[5,1,1]
[3,4,5,2,6,7,1]=>([(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>[5,1,1]
[3,4,5,2,7,1,6]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>[4,2,1]
[3,4,5,2,7,6,1]=>([(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>[4,2,1]
[3,4,5,6,1,2,7]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>[5,2]
[3,4,5,6,1,7,2]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>[5,2]
[3,4,5,6,2,1,7]=>([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>[5,1,1]
[3,4,5,6,2,7,1]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>[5,1,1]
[3,4,5,6,7,1,2]=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7)=>[5,2]
[3,4,5,6,7,2,1]=>([(2,6),(4,5),(5,3),(6,4)],7)=>[5,1,1]
[3,4,5,7,1,2,6]=>([(0,5),(1,3),(3,6),(4,2),(4,6),(5,4)],7)=>[4,3]
[3,4,5,7,1,6,2]=>([(0,5),(1,3),(1,6),(4,2),(4,6),(5,4)],7)=>[4,2,1]
[3,4,5,7,2,1,6]=>([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)=>[4,2,1]
[3,4,5,7,2,6,1]=>([(1,3),(2,6),(3,5),(5,4),(5,6)],7)=>[4,2,1]
[3,4,5,7,6,1,2]=>([(0,4),(1,5),(5,6),(6,2),(6,3)],7)=>[4,2,1]
[3,4,5,7,6,2,1]=>([(2,5),(5,6),(6,3),(6,4)],7)=>[4,1,1,1]
[3,4,6,1,2,5,7]=>([(0,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>[4,3]
[3,4,6,1,2,7,5]=>([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>[4,3]
[3,4,6,1,5,2,7]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(4,2),(4,5),(5,6)],7)=>[4,2,1]
[3,4,6,1,5,7,2]=>([(0,3),(0,6),(1,4),(2,5),(4,2),(4,6),(6,5)],7)=>[4,2,1]
[3,4,6,1,7,2,5]=>([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>[4,3]
[3,4,6,1,7,5,2]=>([(0,4),(1,3),(1,5),(1,6),(2,5),(4,2),(4,6)],7)=>[4,2,1]
[3,4,6,2,1,5,7]=>([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[3,4,6,2,1,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>[4,2,1]
[3,4,6,2,5,1,7]=>([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[3,4,6,2,5,7,1]=>([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[3,4,6,2,7,1,5]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>[4,2,1]
[3,4,6,2,7,5,1]=>([(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>[4,2,1]
[3,4,6,5,1,2,7]=>([(0,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>[4,2,1]
[3,4,6,5,1,7,2]=>([(0,5),(1,4),(1,6),(2,6),(3,6),(5,2),(5,3)],7)=>[4,2,1]
[3,4,6,5,2,1,7]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[3,4,6,5,2,7,1]=>([(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[3,4,6,5,7,1,2]=>([(0,4),(1,5),(2,6),(3,6),(5,2),(5,3)],7)=>[4,2,1]
[3,4,6,5,7,2,1]=>([(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[3,4,6,7,1,2,5]=>([(0,5),(1,3),(3,6),(4,2),(5,4),(5,6)],7)=>[4,3]
[3,4,6,7,1,5,2]=>([(0,5),(1,3),(1,6),(4,2),(5,4),(5,6)],7)=>[4,2,1]
[3,4,6,7,2,1,5]=>([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)=>[4,2,1]
[3,4,6,7,2,5,1]=>([(1,3),(2,6),(3,5),(3,6),(5,4)],7)=>[4,2,1]
[3,4,6,7,5,1,2]=>([(0,4),(1,6),(5,3),(6,2),(6,5)],7)=>[4,2,1]
[3,4,6,7,5,2,1]=>([(2,6),(5,4),(6,3),(6,5)],7)=>[4,1,1,1]
[3,4,7,1,2,5,6]=>([(0,4),(1,5),(4,6),(5,2),(5,6),(6,3)],7)=>[4,3]
[3,4,7,1,2,6,5]=>([(0,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>[3,3,1]
[3,4,7,1,5,2,6]=>([(0,3),(0,6),(1,4),(3,5),(4,2),(4,6),(6,5)],7)=>[4,2,1]
[3,4,7,1,5,6,2]=>([(0,5),(1,4),(1,6),(5,2),(5,6),(6,3)],7)=>[4,2,1]
[3,4,7,1,6,2,5]=>([(0,3),(0,6),(1,4),(3,5),(4,2),(4,5),(4,6)],7)=>[3,3,1]
[3,4,7,1,6,5,2]=>([(0,4),(1,3),(1,5),(1,6),(4,2),(4,5),(4,6)],7)=>[3,2,1,1]
[3,4,7,2,1,5,6]=>([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>[4,2,1]
[3,4,7,2,1,6,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[3,4,7,2,5,1,6]=>([(0,6),(1,5),(2,3),(3,4),(3,6),(6,5)],7)=>[4,2,1]
[3,4,7,2,5,6,1]=>([(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>[4,2,1]
[3,4,7,2,6,1,5]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[3,4,7,2,6,5,1]=>([(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[3,4,7,5,1,2,6]=>([(0,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>[4,2,1]
[3,4,7,5,1,6,2]=>([(0,5),(1,4),(1,6),(3,6),(5,2),(5,3)],7)=>[4,2,1]
[3,4,7,5,2,1,6]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>[4,1,1,1]
[3,4,7,5,2,6,1]=>([(1,3),(2,6),(3,4),(3,5),(5,6)],7)=>[4,1,1,1]
[3,4,7,5,6,1,2]=>([(0,4),(1,6),(5,3),(6,2),(6,5)],7)=>[4,2,1]
[3,4,7,5,6,2,1]=>([(2,6),(5,4),(6,3),(6,5)],7)=>[4,1,1,1]
[3,4,7,6,1,2,5]=>([(0,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>[3,3,1]
[3,4,7,6,1,5,2]=>([(0,5),(1,4),(1,6),(5,2),(5,3),(5,6)],7)=>[3,2,1,1]
[3,4,7,6,2,1,5]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[3,4,7,6,2,5,1]=>([(1,3),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[3,4,7,6,5,1,2]=>([(0,5),(1,6),(6,2),(6,3),(6,4)],7)=>[3,2,1,1]
[3,4,7,6,5,2,1]=>([(2,6),(6,3),(6,4),(6,5)],7)=>[3,1,1,1,1]
[3,5,1,2,4,6,7]=>([(0,4),(1,3),(1,5),(3,6),(4,5),(5,6),(6,2)],7)=>[5,2]
[3,5,1,2,4,7,6]=>([(0,2),(1,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>[4,3]
[3,5,1,2,6,4,7]=>([(0,3),(1,2),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,3]
[3,5,1,2,6,7,4]=>([(0,4),(1,3),(1,5),(3,6),(4,5),(4,6),(6,2)],7)=>[4,3]
[3,5,1,2,7,4,6]=>([(0,3),(1,2),(1,6),(2,4),(2,5),(3,4),(3,6),(6,5)],7)=>[4,3]
[3,5,1,2,7,6,4]=>([(0,3),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,3,1]
[3,5,1,4,2,6,7]=>([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(5,6),(6,2)],7)=>[4,2,1]
[3,5,1,4,2,7,6]=>([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[3,5,1,4,6,2,7]=>([(0,2),(0,6),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7)=>[4,2,1]
[3,5,1,4,6,7,2]=>([(0,3),(0,5),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>[4,2,1]
[3,5,1,4,7,2,6]=>([(0,2),(0,4),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[3,5,1,4,7,6,2]=>([(0,3),(0,6),(1,2),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>[3,3,1]
[3,5,1,6,2,4,7]=>([(0,3),(0,6),(1,2),(1,5),(2,6),(3,5),(5,4),(6,4)],7)=>[4,3]
[3,5,1,6,2,7,4]=>([(0,3),(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(6,4)],7)=>[4,3]
[3,5,1,6,4,2,7]=>([(0,2),(0,4),(1,3),(1,4),(1,5),(2,5),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[3,5,1,6,4,7,2]=>([(0,3),(0,6),(1,2),(1,5),(1,6),(3,5),(5,4),(6,4)],7)=>[4,2,1]
[3,5,1,6,7,2,4]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(4,5),(6,2)],7)=>[4,3]
[3,5,1,6,7,4,2]=>([(0,4),(0,5),(1,3),(1,5),(1,6),(4,6),(6,2)],7)=>[4,2,1]
[3,5,1,7,2,4,6]=>([(0,3),(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(6,4)],7)=>[4,3]
[3,5,1,7,2,6,4]=>([(0,3),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5)],7)=>[3,3,1]
[3,5,1,7,4,2,6]=>([(0,3),(0,4),(1,2),(1,4),(1,5),(2,6),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[3,5,1,7,4,6,2]=>([(0,3),(0,6),(1,2),(1,5),(1,6),(3,4),(3,5),(6,4)],7)=>[3,3,1]
[3,5,1,7,6,2,4]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5)],7)=>[3,3,1]
[3,5,1,7,6,4,2]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5)],7)=>[3,2,1,1]
[3,5,2,1,4,6,7]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>[4,2,1]
[3,5,2,1,4,7,6]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>[3,3,1]
[3,5,2,1,6,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[3,5,2,1,6,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>[4,2,1]
[3,5,2,1,7,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>[3,3,1]
[3,5,2,1,7,6,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>[3,2,2]
[3,5,2,4,1,6,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>[4,2,1]
[3,5,2,4,1,7,6]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[3,5,2,4,6,1,7]=>([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,2,1]
[3,5,2,4,6,7,1]=>([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>[4,2,1]
[3,5,2,4,7,1,6]=>([(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[3,5,2,4,7,6,1]=>([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[3,5,2,6,1,4,7]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4),(6,4)],7)=>[4,2,1]
[3,5,2,6,1,7,4]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>[4,2,1]
[3,5,2,6,4,1,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[3,5,2,6,4,7,1]=>([(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[3,5,2,6,7,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>[4,2,1]
[3,5,2,6,7,4,1]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>[4,2,1]
[3,5,2,7,1,4,6]=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>[3,3,1]
[3,5,2,7,1,6,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>[3,2,2]
[3,5,2,7,4,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[3,5,2,7,4,6,1]=>([(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[3,5,2,7,6,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>[3,2,2]
[3,5,2,7,6,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>[3,2,1,1]
[3,5,4,1,2,6,7]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(5,6),(6,4)],7)=>[4,2,1]
[3,5,4,1,2,7,6]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[3,5,4,1,6,2,7]=>([(0,4),(0,6),(1,2),(1,3),(2,6),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[3,5,4,1,6,7,2]=>([(0,5),(0,6),(1,2),(1,3),(2,6),(3,6),(6,4)],7)=>[4,2,1]
[3,5,4,1,7,2,6]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5)],7)=>[3,3,1]
[3,5,4,1,7,6,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)=>[3,2,2]
[3,5,4,2,1,6,7]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[3,5,4,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[3,5,4,2,6,1,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[3,5,4,2,6,7,1]=>([(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[3,5,4,2,7,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[3,5,4,2,7,6,1]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[3,5,4,6,1,2,7]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[3,5,4,6,1,7,2]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(5,6)],7)=>[4,2,1]
[3,5,4,6,2,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
[3,5,4,6,2,7,1]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[3,5,4,6,7,1,2]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(6,4)],7)=>[4,2,1]
[3,5,4,6,7,2,1]=>([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[3,5,4,7,1,2,6]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[3,5,4,7,1,6,2]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)=>[3,2,2]
[3,5,4,7,2,1,6]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[3,5,4,7,2,6,1]=>([(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[3,5,4,7,6,1,2]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)=>[3,2,2]
[3,5,4,7,6,2,1]=>([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[3,5,6,1,2,4,7]=>([(0,3),(1,4),(1,6),(2,5),(3,6),(4,2),(6,5)],7)=>[4,3]
[3,5,6,1,2,7,4]=>([(0,3),(1,4),(1,6),(2,5),(3,5),(3,6),(4,2)],7)=>[4,3]
[3,5,6,1,4,2,7]=>([(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7)=>[4,2,1]
[3,5,6,1,4,7,2]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(4,2),(6,5)],7)=>[4,2,1]
[3,5,6,1,7,2,4]=>([(0,3),(0,5),(1,4),(1,6),(2,5),(3,6),(4,2)],7)=>[4,3]
[3,5,6,1,7,4,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(4,2)],7)=>[4,2,1]
[3,5,6,2,1,4,7]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)=>[4,2,1]
[3,5,6,2,1,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>[4,2,1]
[3,5,6,2,4,1,7]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>[4,2,1]
[3,5,6,2,4,7,1]=>([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>[4,2,1]
[3,5,6,2,7,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(4,5)],7)=>[4,2,1]
[3,5,6,2,7,4,1]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>[4,2,1]
[3,5,6,4,1,2,7]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,2,1]
[3,5,6,4,1,7,2]=>([(0,4),(0,6),(1,3),(1,5),(2,6),(3,6),(5,2)],7)=>[4,2,1]
[3,5,6,4,2,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[3,5,6,4,2,7,1]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[3,5,6,4,7,1,2]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(5,2)],7)=>[4,2,1]
[3,5,6,4,7,2,1]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[3,5,6,7,1,2,4]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>[4,3]
[3,5,6,7,1,4,2]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>[4,2,1]
[3,5,6,7,2,1,4]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>[4,2,1]
[3,5,6,7,2,4,1]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>[4,2,1]
[3,5,6,7,4,1,2]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7)=>[4,2,1]
[3,5,6,7,4,2,1]=>([(2,4),(2,6),(5,3),(6,5)],7)=>[4,1,1,1]
[3,5,7,1,2,4,6]=>([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7)=>[4,3]
[3,5,7,1,2,6,4]=>([(0,3),(1,4),(1,6),(3,5),(3,6),(4,2),(4,5)],7)=>[3,3,1]
[3,5,7,1,4,2,6]=>([(0,3),(0,5),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>[3,3,1]
[3,5,7,1,4,6,2]=>([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>[3,3,1]
[3,5,7,1,6,2,4]=>([(0,3),(0,6),(1,4),(1,5),(3,5),(4,2),(4,6)],7)=>[3,3,1]
[3,5,7,1,6,4,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(4,2),(4,5)],7)=>[3,2,1,1]
[3,5,7,2,1,4,6]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>[3,3,1]
[3,5,7,2,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>[3,2,2]
[3,5,7,2,4,1,6]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>[3,3,1]
[3,5,7,2,4,6,1]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>[3,3,1]
[3,5,7,2,6,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>[3,2,2]
[3,5,7,2,6,4,1]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>[3,2,1,1]
[3,5,7,4,1,2,6]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>[3,3,1]
[3,5,7,4,1,6,2]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>[3,2,2]
[3,5,7,4,2,1,6]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[3,5,7,4,2,6,1]=>([(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[3,5,7,4,6,1,2]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>[3,2,2]
[3,5,7,4,6,2,1]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[3,5,7,6,1,2,4]=>([(0,4),(1,5),(1,6),(4,6),(5,2),(5,3)],7)=>[3,3,1]
[3,5,7,6,1,4,2]=>([(0,4),(0,6),(1,5),(1,6),(5,2),(5,3)],7)=>[3,2,1,1]
[3,5,7,6,2,1,4]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>[3,2,1,1]
[3,5,7,6,2,4,1]=>([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>[3,2,1,1]
[3,5,7,6,4,1,2]=>([(0,5),(1,4),(1,6),(6,2),(6,3)],7)=>[3,2,1,1]
[3,5,7,6,4,2,1]=>([(2,5),(2,6),(6,3),(6,4)],7)=>[3,1,1,1,1]
[3,6,1,2,4,5,7]=>([(0,3),(1,4),(1,6),(2,5),(3,6),(4,5),(6,2)],7)=>[5,2]
[3,6,1,2,4,7,5]=>([(0,3),(1,4),(1,6),(3,6),(4,5),(6,2),(6,5)],7)=>[4,3]
[3,6,1,2,5,4,7]=>([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[3,6,1,2,5,7,4]=>([(0,3),(1,2),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>[4,2,1]
[3,6,1,2,7,4,5]=>([(0,4),(1,3),(1,6),(3,5),(4,5),(4,6),(6,2)],7)=>[4,3]
[3,6,1,2,7,5,4]=>([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,3,1]
[3,6,1,4,2,5,7]=>([(0,2),(0,6),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7)=>[4,2,1]
[3,6,1,4,2,7,5]=>([(0,2),(0,4),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[3,6,1,4,5,2,7]=>([(0,4),(0,5),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,2,1]
[3,6,1,4,5,7,2]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(4,5),(6,2)],7)=>[4,2,1]
[3,6,1,4,7,2,5]=>([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(6,4),(6,5)],7)=>[3,3,1]
[3,6,1,4,7,5,2]=>([(0,3),(0,6),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>[3,3,1]
[3,6,1,5,2,4,7]=>([(0,2),(0,4),(1,3),(1,4),(1,5),(2,5),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[3,6,1,5,2,7,4]=>([(0,3),(0,4),(1,2),(1,4),(1,5),(2,6),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[3,6,1,5,4,2,7]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[3,6,1,5,4,7,2]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[3,6,1,5,7,2,4]=>([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(6,5)],7)=>[3,3,1]
[3,6,1,5,7,4,2]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(6,4)],7)=>[3,2,1,1]
[3,6,1,7,2,4,5]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(4,5),(6,2)],7)=>[4,3]
[3,6,1,7,2,5,4]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5)],7)=>[3,3,1]
[3,6,1,7,4,2,5]=>([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(6,5)],7)=>[3,3,1]
[3,6,1,7,4,5,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(4,5),(6,2)],7)=>[3,3,1]
[3,6,1,7,5,2,4]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4)],7)=>[3,3,1]
[3,6,1,7,5,4,2]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4)],7)=>[3,2,1,1]
[3,6,2,1,4,5,7]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)=>[4,2,1]
[3,6,2,1,4,7,5]=>([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>[3,3,1]
[3,6,2,1,5,4,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[3,6,2,1,5,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>[3,2,2]
[3,6,2,1,7,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>[3,3,1]
[3,6,2,1,7,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>[3,2,2]
[3,6,2,4,1,5,7]=>([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[3,6,2,4,1,7,5]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[3,6,2,4,5,1,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>[4,2,1]
[3,6,2,4,5,7,1]=>([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>[4,2,1]
[3,6,2,4,7,1,5]=>([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[3,6,2,4,7,5,1]=>([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>[3,3,1]
[3,6,2,5,1,4,7]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[3,6,2,5,1,7,4]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,2]
[3,6,2,5,4,1,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[3,6,2,5,4,7,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[3,6,2,5,7,1,4]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>[3,2,2]
[3,6,2,5,7,4,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>[3,2,1,1]
[3,6,2,7,1,4,5]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>[3,3,1]
[3,6,2,7,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>[3,2,2]
[3,6,2,7,4,1,5]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>[3,3,1]
[3,6,2,7,4,5,1]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>[3,3,1]
[3,6,2,7,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5)],7)=>[3,2,2]
[3,6,2,7,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>[3,2,1,1]
[3,6,4,1,2,5,7]=>([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(5,6)],7)=>[4,2,1]
[3,6,4,1,2,7,5]=>([(0,4),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[3,6,4,1,5,2,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[3,6,4,1,5,7,2]=>([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(6,5)],7)=>[4,2,1]
[3,6,4,1,7,2,5]=>([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5)],7)=>[3,3,1]
[3,6,4,1,7,5,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6)],7)=>[3,2,2]
[3,6,4,2,1,5,7]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>[4,1,1,1]
[3,6,4,2,1,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[3,6,4,2,5,1,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>[4,1,1,1]
[3,6,4,2,5,7,1]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>[4,1,1,1]
[3,6,4,2,7,1,5]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[3,6,4,2,7,5,1]=>([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[3,6,4,5,1,2,7]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,2,1]
[3,6,4,5,1,7,2]=>([(0,4),(0,6),(1,3),(1,5),(2,6),(3,6),(5,2)],7)=>[4,2,1]
[3,6,4,5,2,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[3,6,4,5,2,7,1]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[3,6,4,5,7,1,2]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(5,2)],7)=>[4,2,1]
[3,6,4,5,7,2,1]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[3,6,4,7,1,2,5]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[3,6,4,7,1,5,2]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7)=>[3,2,2]
[3,6,4,7,2,1,5]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)=>[3,2,1,1]
[3,6,4,7,2,5,1]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[3,6,4,7,5,1,2]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>[3,2,2]
[3,6,4,7,5,2,1]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[3,6,5,1,2,4,7]=>([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[3,6,5,1,2,7,4]=>([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[3,6,5,1,4,2,7]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[3,6,5,1,4,7,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6)],7)=>[3,2,1,1]
[3,6,5,1,7,2,4]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5)],7)=>[3,3,1]
[3,6,5,1,7,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6)],7)=>[3,2,1,1]
[3,6,5,2,1,4,7]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[3,6,5,2,1,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
[3,6,5,2,4,1,7]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[3,6,5,2,4,7,1]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[3,6,5,2,7,1,4]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
[3,6,5,2,7,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
[3,6,5,4,1,2,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[3,6,5,4,1,7,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7)=>[3,2,1,1]
[3,6,5,4,2,1,7]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[3,6,5,4,2,7,1]=>([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[3,6,5,4,7,1,2]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7)=>[3,2,1,1]
[3,6,5,4,7,2,1]=>([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[3,6,5,7,1,2,4]=>([(0,4),(1,2),(1,3),(1,6),(2,5),(3,5),(4,6)],7)=>[3,3,1]
[3,6,5,7,1,4,2]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(3,5)],7)=>[3,2,1,1]
[3,6,5,7,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>[3,2,1,1]
[3,6,5,7,2,4,1]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
[3,6,5,7,4,1,2]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6)],7)=>[3,2,1,1]
[3,6,5,7,4,2,1]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[3,6,7,1,2,4,5]=>([(0,4),(1,5),(1,6),(4,6),(5,2),(6,3)],7)=>[4,3]
[3,6,7,1,2,5,4]=>([(0,3),(1,4),(1,5),(1,6),(3,5),(3,6),(4,2)],7)=>[3,3,1]
[3,6,7,1,4,2,5]=>([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>[3,3,1]
[3,6,7,1,4,5,2]=>([(0,4),(0,6),(1,5),(1,6),(5,2),(6,3)],7)=>[3,3,1]
[3,6,7,1,5,2,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,5),(4,2)],7)=>[3,3,1]
[3,6,7,1,5,4,2]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2)],7)=>[3,2,1,1]
[3,6,7,2,1,4,5]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>[3,3,1]
[3,6,7,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>[3,2,2]
[3,6,7,2,4,1,5]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(5,6)],7)=>[3,3,1]
[3,6,7,2,4,5,1]=>([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>[3,3,1]
[3,6,7,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>[3,2,2]
[3,6,7,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>[3,2,1,1]
[3,6,7,4,1,2,5]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>[3,3,1]
[3,6,7,4,1,5,2]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>[3,2,2]
[3,6,7,4,2,1,5]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>[3,2,1,1]
[3,6,7,4,2,5,1]=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>[3,2,1,1]
[3,6,7,4,5,1,2]=>([(0,4),(1,5),(1,6),(5,3),(6,2)],7)=>[3,2,2]
[3,6,7,4,5,2,1]=>([(2,5),(2,6),(5,4),(6,3)],7)=>[3,2,1,1]
[3,6,7,5,1,2,4]=>([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2)],7)=>[3,3,1]
[3,6,7,5,1,4,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(5,2)],7)=>[3,2,1,1]
[3,6,7,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,1,1]
[3,6,7,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,1,1]
[3,6,7,5,4,1,2]=>([(0,5),(1,3),(1,4),(1,6),(6,2)],7)=>[3,2,1,1]
[3,6,7,5,4,2,1]=>([(2,4),(2,5),(2,6),(6,3)],7)=>[3,1,1,1,1]
[3,7,1,2,4,5,6]=>([(0,4),(1,3),(1,6),(4,6),(5,2),(6,5)],7)=>[5,2]
[3,7,1,2,4,6,5]=>([(0,5),(1,4),(1,6),(5,6),(6,2),(6,3)],7)=>[4,2,1]
[3,7,1,2,5,4,6]=>([(0,3),(1,2),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[3,7,1,2,5,6,4]=>([(0,4),(1,3),(1,5),(1,6),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[3,7,1,2,6,4,5]=>([(0,4),(1,3),(1,5),(1,6),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[3,7,1,2,6,5,4]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[3,7,1,4,2,5,6]=>([(0,3),(0,5),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>[4,2,1]
[3,7,1,4,2,6,5]=>([(0,3),(0,6),(1,2),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>[3,3,1]
[3,7,1,4,5,2,6]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(4,5),(6,2)],7)=>[4,2,1]
[3,7,1,4,5,6,2]=>([(0,4),(0,6),(1,3),(1,6),(5,2),(6,5)],7)=>[4,2,1]
[3,7,1,4,6,2,5]=>([(0,3),(0,6),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>[3,3,1]
[3,7,1,4,6,5,2]=>([(0,5),(0,6),(1,4),(1,6),(6,2),(6,3)],7)=>[3,2,1,1]
[3,7,1,5,2,4,6]=>([(0,3),(0,6),(1,2),(1,5),(1,6),(3,5),(5,4),(6,4)],7)=>[4,2,1]
[3,7,1,5,2,6,4]=>([(0,3),(0,6),(1,2),(1,5),(1,6),(3,4),(3,5),(6,4)],7)=>[3,3,1]
[3,7,1,5,4,2,6]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[3,7,1,5,4,6,2]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,4)],7)=>[3,2,1,1]
[3,7,1,5,6,2,4]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(4,5),(6,2)],7)=>[3,3,1]
[3,7,1,5,6,4,2]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
[3,7,1,6,2,4,5]=>([(0,4),(0,5),(1,3),(1,5),(1,6),(4,6),(6,2)],7)=>[4,2,1]
[3,7,1,6,2,5,4]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5)],7)=>[3,2,1,1]
[3,7,1,6,4,2,5]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(6,4)],7)=>[3,2,1,1]
[3,7,1,6,4,5,2]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
[3,7,1,6,5,2,4]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4)],7)=>[3,2,1,1]
[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>[2,2,1,1,1]
[3,7,2,1,4,5,6]=>([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>[4,2,1]
[3,7,2,1,4,6,5]=>([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>[3,2,2]
[3,7,2,1,5,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>[3,2,2]
[3,7,2,1,5,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[3,7,2,1,6,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[3,7,2,4,1,5,6]=>([(0,6),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>[4,2,1]
[3,7,2,4,1,6,5]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>[3,2,2]
[3,7,2,4,5,1,6]=>([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)=>[4,2,1]
[3,7,2,4,5,6,1]=>([(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>[4,2,1]
[3,7,2,4,6,1,5]=>([(0,6),(1,5),(2,4),(2,6),(6,3),(6,5)],7)=>[3,2,2]
[3,7,2,4,6,5,1]=>([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>[3,2,1,1]
[3,7,2,5,1,4,6]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>[3,2,2]
[3,7,2,5,1,6,4]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,2]
[3,7,2,5,4,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[3,7,2,5,4,6,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[3,7,2,5,6,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4)],7)=>[3,2,2]
[3,7,2,5,6,4,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
[3,7,2,6,1,4,5]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(6,4)],7)=>[3,2,2]
[3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[3,7,2,6,4,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(5,6)],7)=>[3,2,1,1]
[3,7,2,6,4,5,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
[3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
[3,7,4,1,2,5,6]=>([(0,5),(1,2),(1,3),(3,6),(5,6),(6,4)],7)=>[4,2,1]
[3,7,4,1,2,6,5]=>([(0,4),(1,2),(1,3),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[3,7,4,1,5,2,6]=>([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[3,7,4,1,5,6,2]=>([(0,5),(0,6),(1,2),(1,3),(3,6),(6,4)],7)=>[4,2,1]
[3,7,4,1,6,2,5]=>([(0,4),(0,6),(1,2),(1,3),(3,5),(3,6),(4,5)],7)=>[3,3,1]
[3,7,4,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(3,5),(3,6)],7)=>[3,2,1,1]
[3,7,4,2,1,5,6]=>([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>[4,1,1,1]
[3,7,4,2,1,6,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>[3,2,1,1]
[3,7,4,2,5,1,6]=>([(0,6),(1,5),(2,3),(2,4),(4,6),(6,5)],7)=>[4,1,1,1]
[3,7,4,2,5,6,1]=>([(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>[4,1,1,1]
[3,7,4,2,6,1,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>[3,2,1,1]
[3,7,4,2,6,5,1]=>([(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>[3,2,1,1]
[3,7,4,5,1,2,6]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>[4,2,1]
[3,7,4,5,1,6,2]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>[4,2,1]
[3,7,4,5,2,1,6]=>([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>[4,1,1,1]
[3,7,4,5,2,6,1]=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>[4,1,1,1]
[3,7,4,5,6,1,2]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7)=>[4,2,1]
[3,7,4,5,6,2,1]=>([(2,4),(2,6),(5,3),(6,5)],7)=>[4,1,1,1]
[3,7,4,6,1,2,5]=>([(0,4),(1,3),(1,5),(4,6),(5,2),(5,6)],7)=>[3,3,1]
[3,7,4,6,1,5,2]=>([(0,4),(0,6),(1,3),(1,5),(5,2),(5,6)],7)=>[3,2,1,1]
[3,7,4,6,2,1,5]=>([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>[3,2,1,1]
[3,7,4,6,2,5,1]=>([(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>[3,2,1,1]
[3,7,4,6,5,1,2]=>([(0,5),(1,4),(1,6),(6,2),(6,3)],7)=>[3,2,1,1]
[3,7,4,6,5,2,1]=>([(2,5),(2,6),(6,3),(6,4)],7)=>[3,1,1,1,1]
[3,7,5,1,2,4,6]=>([(0,4),(1,2),(1,3),(1,5),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[3,7,5,1,2,6,4]=>([(0,4),(1,2),(1,3),(1,6),(3,5),(4,5),(4,6)],7)=>[3,3,1]
[3,7,5,1,4,2,6]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[3,7,5,1,4,6,2]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(3,5),(6,5)],7)=>[3,2,1,1]
[3,7,5,1,6,2,4]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(3,6),(4,5)],7)=>[3,3,1]
[3,7,5,1,6,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(3,5)],7)=>[3,2,1,1]
[3,7,5,2,1,4,6]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>[3,2,1,1]
[3,7,5,2,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>[3,2,1,1]
[3,7,5,2,4,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[3,7,5,2,4,6,1]=>([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[3,7,5,2,6,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,1,1]
[3,7,5,2,6,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>[3,2,1,1]
[3,7,5,4,1,2,6]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[3,7,5,4,1,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,6)],7)=>[3,2,1,1]
[3,7,5,4,2,1,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[3,7,5,4,2,6,1]=>([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[3,7,5,4,6,1,2]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6)],7)=>[3,2,1,1]
[3,7,5,4,6,2,1]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[3,7,5,6,1,2,4]=>([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2)],7)=>[3,3,1]
[3,7,5,6,1,4,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(5,2)],7)=>[3,2,1,1]
[3,7,5,6,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,1,1]
[3,7,5,6,2,4,1]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,1,1]
[3,7,5,6,4,1,2]=>([(0,5),(1,3),(1,4),(1,6),(6,2)],7)=>[3,2,1,1]
[3,7,5,6,4,2,1]=>([(2,4),(2,5),(2,6),(6,3)],7)=>[3,1,1,1,1]
[3,7,6,1,2,4,5]=>([(0,5),(1,2),(1,3),(1,6),(5,6),(6,4)],7)=>[4,2,1]
[3,7,6,1,2,5,4]=>([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)=>[3,2,1,1]
[3,7,6,1,4,2,5]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(4,5),(6,5)],7)=>[3,2,1,1]
[3,7,6,1,4,5,2]=>([(0,5),(0,6),(1,2),(1,3),(1,6),(6,4)],7)=>[3,2,1,1]
[3,7,6,1,5,2,4]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(4,5)],7)=>[3,2,1,1]
[3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>[2,2,1,1,1]
[3,7,6,2,1,4,5]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>[3,2,1,1]
[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[3,7,6,2,4,1,5]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(5,6)],7)=>[3,2,1,1]
[3,7,6,2,4,5,1]=>([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>[3,2,1,1]
[3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
[3,7,6,4,1,2,5]=>([(0,5),(1,2),(1,3),(1,4),(4,6),(5,6)],7)=>[3,2,1,1]
[3,7,6,4,1,5,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,6)],7)=>[3,2,1,1]
[3,7,6,4,2,1,5]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>[3,1,1,1,1]
[3,7,6,4,2,5,1]=>([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>[3,1,1,1,1]
[3,7,6,4,5,1,2]=>([(0,5),(1,3),(1,4),(1,6),(6,2)],7)=>[3,2,1,1]
[3,7,6,4,5,2,1]=>([(2,4),(2,5),(2,6),(6,3)],7)=>[3,1,1,1,1]
[3,7,6,5,1,2,4]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)=>[3,2,1,1]
[3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>[2,2,1,1,1]
[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>[2,2,1,1,1]
[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>[2,1,1,1,1,1]
[4,1,2,3,5,6,7]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)=>[6,1]
[4,1,2,3,5,7,6]=>([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7)=>[5,2]
[4,1,2,3,6,5,7]=>([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>[5,2]
[4,1,2,3,6,7,5]=>([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7)=>[5,2]
[4,1,2,3,7,5,6]=>([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7)=>[5,2]
[4,1,2,3,7,6,5]=>([(0,2),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[4,2,1]
[4,1,2,5,3,6,7]=>([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7)=>[5,2]
[4,1,2,5,3,7,6]=>([(0,2),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>[4,3]
[4,1,2,5,6,3,7]=>([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7)=>[5,2]
[4,1,2,5,6,7,3]=>([(0,6),(1,4),(4,3),(4,6),(5,2),(6,5)],7)=>[5,2]
[4,1,2,5,7,3,6]=>([(0,6),(1,4),(3,5),(4,3),(4,6),(6,2),(6,5)],7)=>[4,3]
[4,1,2,5,7,6,3]=>([(0,6),(1,5),(5,2),(5,6),(6,3),(6,4)],7)=>[4,2,1]
[4,1,2,6,3,5,7]=>([(0,3),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7)=>[5,2]
[4,1,2,6,3,7,5]=>([(0,2),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4)],7)=>[4,3]
[4,1,2,6,5,3,7]=>([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[4,1,2,6,5,7,3]=>([(0,3),(1,5),(1,6),(3,2),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[4,1,2,6,7,3,5]=>([(0,5),(0,6),(1,4),(3,5),(4,3),(4,6),(6,2)],7)=>[4,3]
[4,1,2,6,7,5,3]=>([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[4,1,2,7,3,5,6]=>([(0,5),(0,6),(1,4),(3,6),(4,3),(4,5),(6,2)],7)=>[5,2]
[4,1,2,7,3,6,5]=>([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>[4,2,1]
[4,1,2,7,5,3,6]=>([(0,3),(1,4),(1,6),(2,5),(3,2),(3,4),(3,6),(6,5)],7)=>[4,2,1]
[4,1,2,7,5,6,3]=>([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[4,1,2,7,6,3,5]=>([(0,3),(1,4),(1,5),(1,6),(2,6),(3,2),(3,4),(3,5)],7)=>[4,2,1]
[4,1,2,7,6,5,3]=>([(0,3),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[4,1,3,2,5,6,7]=>([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)=>[5,1,1]
[4,1,3,2,5,7,6]=>([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>[4,2,1]
[4,1,3,2,6,5,7]=>([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[4,1,3,2,6,7,5]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[4,1,3,2,7,5,6]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[4,1,3,2,7,6,5]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[4,1,3,5,2,6,7]=>([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7)=>[5,1,1]
[4,1,3,5,2,7,6]=>([(0,2),(0,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>[4,2,1]
[4,1,3,5,6,2,7]=>([(0,6),(1,2),(1,4),(2,6),(3,5),(4,5),(6,3)],7)=>[5,1,1]
[4,1,3,5,6,7,2]=>([(0,6),(1,3),(1,4),(4,6),(5,2),(6,5)],7)=>[5,1,1]
[4,1,3,5,7,2,6]=>([(0,6),(1,3),(1,4),(3,6),(4,5),(6,2),(6,5)],7)=>[4,2,1]
[4,1,3,5,7,6,2]=>([(0,6),(1,2),(1,3),(3,6),(6,4),(6,5)],7)=>[4,2,1]
[4,1,3,6,2,5,7]=>([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[4,1,3,6,2,7,5]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>[4,2,1]
[4,1,3,6,5,2,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[4,1,3,6,5,7,2]=>([(0,2),(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[4,1,3,6,7,2,5]=>([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4)],7)=>[4,2,1]
[4,1,3,6,7,5,2]=>([(0,5),(0,6),(1,3),(1,4),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[4,1,3,7,2,5,6]=>([(0,5),(0,6),(1,2),(1,4),(2,6),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[4,1,3,7,2,6,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[4,1,3,7,5,2,6]=>([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>[4,2,1]
[4,1,3,7,5,6,2]=>([(0,5),(0,6),(1,3),(1,4),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[4,1,3,7,6,2,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[4,1,3,7,6,5,2]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[4,1,5,2,3,6,7]=>([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)=>[5,2]
[4,1,5,2,3,7,6]=>([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)=>[4,3]
[4,1,5,2,6,3,7]=>([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7)=>[4,3]
[4,1,5,2,6,7,3]=>([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)=>[4,3]
[4,1,5,2,7,3,6]=>([(0,6),(1,3),(1,6),(2,5),(3,2),(3,4),(6,4),(6,5)],7)=>[4,3]
[4,1,5,2,7,6,3]=>([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>[3,3,1]
[4,1,5,3,2,6,7]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>[4,2,1]
[4,1,5,3,2,7,6]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,1,5,3,6,2,7]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7)=>[4,2,1]
[4,1,5,3,6,7,2]=>([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>[4,2,1]
[4,1,5,3,7,2,6]=>([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,1,5,3,7,6,2]=>([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>[3,3,1]
[4,1,5,6,2,3,7]=>([(0,6),(1,4),(1,6),(2,5),(3,5),(4,3),(6,2)],7)=>[4,3]
[4,1,5,6,2,7,3]=>([(0,6),(1,4),(1,6),(3,5),(4,2),(4,5),(6,3)],7)=>[4,3]
[4,1,5,6,3,2,7]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,4)],7)=>[4,2,1]
[4,1,5,6,3,7,2]=>([(0,6),(1,2),(1,4),(1,6),(3,5),(4,5),(6,3)],7)=>[4,2,1]
[4,1,5,6,7,2,3]=>([(0,6),(1,4),(1,6),(4,3),(5,2),(6,5)],7)=>[4,3]
[4,1,5,6,7,3,2]=>([(0,6),(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>[4,2,1]
[4,1,5,7,2,3,6]=>([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)=>[4,3]
[4,1,5,7,2,6,3]=>([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)=>[3,3,1]
[4,1,5,7,3,2,6]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>[3,3,1]
[4,1,5,7,3,6,2]=>([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>[3,3,1]
[4,1,5,7,6,2,3]=>([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)=>[3,3,1]
[4,1,5,7,6,3,2]=>([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)=>[3,2,1,1]
[4,1,6,2,3,5,7]=>([(0,2),(0,6),(1,5),(1,6),(2,3),(3,5),(5,4),(6,4)],7)=>[5,2]
[4,1,6,2,3,7,5]=>([(0,2),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(6,4)],7)=>[4,3]
[4,1,6,2,5,3,7]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[4,1,6,2,5,7,3]=>([(0,3),(0,6),(1,5),(1,6),(3,2),(3,5),(5,4),(6,4)],7)=>[4,2,1]
[4,1,6,2,7,3,5]=>([(0,3),(0,6),(1,5),(1,6),(2,5),(3,2),(3,4),(6,4)],7)=>[4,3]
[4,1,6,2,7,5,3]=>([(0,3),(0,6),(1,5),(1,6),(3,2),(3,4),(3,5),(6,4)],7)=>[3,3,1]
[4,1,6,3,2,5,7]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[4,1,6,3,2,7,5]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[4,1,6,3,5,2,7]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[4,1,6,3,5,7,2]=>([(0,2),(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,4)],7)=>[4,2,1]
[4,1,6,3,7,2,5]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5)],7)=>[3,3,1]
[4,1,6,3,7,5,2]=>([(0,2),(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,4)],7)=>[3,3,1]
[4,1,6,5,2,3,7]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[4,1,6,5,2,7,3]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>[3,3,1]
[4,1,6,5,3,2,7]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[4,1,6,5,3,7,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[4,1,6,5,7,2,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(5,4),(6,4)],7)=>[3,3,1]
[4,1,6,5,7,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(5,4),(6,4)],7)=>[3,2,1,1]
[4,1,6,7,2,3,5]=>([(0,5),(0,6),(1,4),(1,6),(3,5),(4,3),(6,2)],7)=>[4,3]
[4,1,6,7,2,5,3]=>([(0,5),(0,6),(1,4),(1,6),(4,3),(4,5),(6,2)],7)=>[3,3,1]
[4,1,6,7,3,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4)],7)=>[3,3,1]
[4,1,6,7,3,5,2]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(4,5),(6,2)],7)=>[3,3,1]
[4,1,6,7,5,2,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(6,2)],7)=>[3,3,1]
[4,1,6,7,5,3,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
[4,1,7,2,3,5,6]=>([(0,5),(0,6),(1,4),(1,5),(3,6),(4,3),(6,2)],7)=>[5,2]
[4,1,7,2,3,6,5]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5)],7)=>[4,2,1]
[4,1,7,2,5,3,6]=>([(0,3),(0,5),(1,5),(1,6),(2,4),(3,2),(3,6),(6,4)],7)=>[4,2,1]
[4,1,7,2,5,6,3]=>([(0,5),(0,6),(1,4),(1,5),(4,3),(4,6),(6,2)],7)=>[4,2,1]
[4,1,7,2,6,3,5]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,2),(3,4)],7)=>[4,2,1]
[4,1,7,2,6,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5)],7)=>[3,2,1,1]
[4,1,7,3,2,5,6]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(6,4)],7)=>[4,2,1]
[4,1,7,3,2,6,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>[3,2,2]
[4,1,7,3,5,2,6]=>([(0,2),(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(6,4)],7)=>[4,2,1]
[4,1,7,3,5,6,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(4,6),(6,2)],7)=>[4,2,1]
[4,1,7,3,6,2,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6)],7)=>[3,2,2]
[4,1,7,3,6,5,2]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7)=>[3,2,1,1]
[4,1,7,5,2,3,6]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(3,4),(6,4)],7)=>[4,2,1]
[4,1,7,5,2,6,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(3,4),(6,4)],7)=>[3,3,1]
[4,1,7,5,3,2,6]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7)=>[3,2,1,1]
[4,1,7,5,3,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(3,4),(6,4)],7)=>[3,2,1,1]
[4,1,7,5,6,2,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(6,2)],7)=>[3,3,1]
[4,1,7,5,6,3,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
[4,1,7,6,2,3,5]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4)],7)=>[4,2,1]
[4,1,7,6,2,5,3]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4)],7)=>[3,2,1,1]
[4,1,7,6,3,2,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7)=>[3,2,1,1]
[4,1,7,6,3,5,2]=>([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7)=>[3,2,1,1]
[4,1,7,6,5,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,2)],7)=>[3,2,1,1]
[4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>[2,2,1,1,1]
[4,2,1,3,5,6,7]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>[5,1,1]
[4,2,1,3,5,7,6]=>([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>[4,2,1]
[4,2,1,3,6,5,7]=>([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>[4,2,1]
[4,2,1,3,6,7,5]=>([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[4,2,1,3,7,5,6]=>([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[4,2,1,3,7,6,5]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>[3,2,2]
[4,2,1,5,3,6,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>[4,2,1]
[4,2,1,5,3,7,6]=>([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>[3,3,1]
[4,2,1,5,6,3,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>[4,2,1]
[4,2,1,5,6,7,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>[4,2,1]
[4,2,1,5,7,3,6]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>[3,3,1]
[4,2,1,5,7,6,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>[3,2,2]
[4,2,1,6,3,5,7]=>([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>[4,2,1]
[4,2,1,6,3,7,5]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>[3,3,1]
[4,2,1,6,5,3,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[4,2,1,6,5,7,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>[3,2,2]
[4,2,1,6,7,3,5]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>[3,3,1]
[4,2,1,6,7,5,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[4,2,1,7,3,5,6]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>[4,2,1]
[4,2,1,7,3,6,5]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>[3,2,2]
[4,2,1,7,5,3,6]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>[3,2,2]
[4,2,1,7,5,6,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[4,2,1,7,6,3,5]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>[3,2,2]
[4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[4,2,3,1,5,6,7]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>[5,1,1]
[4,2,3,1,5,7,6]=>([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>[4,2,1]
[4,2,3,1,6,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[4,2,3,1,6,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[4,2,3,1,7,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[4,2,3,1,7,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[4,2,3,5,1,6,7]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)=>[5,1,1]
[4,2,3,5,1,7,6]=>([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>[4,2,1]
[4,2,3,5,6,1,7]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>[5,1,1]
[4,2,3,5,6,7,1]=>([(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>[5,1,1]
[4,2,3,5,7,1,6]=>([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>[4,2,1]
[4,2,3,5,7,6,1]=>([(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>[4,2,1]
[4,2,3,6,1,5,7]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[4,2,3,6,1,7,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>[4,2,1]
[4,2,3,6,5,1,7]=>([(0,6),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[4,2,3,6,5,7,1]=>([(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[4,2,3,6,7,1,5]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>[4,2,1]
[4,2,3,6,7,5,1]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[4,2,3,7,1,5,6]=>([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[4,2,3,7,1,6,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[4,2,3,7,5,1,6]=>([(0,4),(1,5),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>[4,2,1]
[4,2,3,7,5,6,1]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[4,2,3,7,6,1,5]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[4,2,3,7,6,5,1]=>([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[4,2,5,1,3,6,7]=>([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>[4,2,1]
[4,2,5,1,3,7,6]=>([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>[3,3,1]
[4,2,5,1,6,3,7]=>([(0,5),(1,4),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>[4,2,1]
[4,2,5,1,6,7,3]=>([(0,5),(1,4),(1,6),(2,4),(2,5),(5,6),(6,3)],7)=>[4,2,1]
[4,2,5,1,7,3,6]=>([(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>[3,3,1]
[4,2,5,1,7,6,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7)=>[3,2,2]
[4,2,5,3,1,6,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>[4,2,1]
[4,2,5,3,1,7,6]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,2,5,3,6,1,7]=>([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,2,1]
[4,2,5,3,6,7,1]=>([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>[4,2,1]
[4,2,5,3,7,1,6]=>([(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,2,5,3,7,6,1]=>([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,2,5,6,1,3,7]=>([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>[4,2,1]
[4,2,5,6,1,7,3]=>([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)=>[4,2,1]
[4,2,5,6,3,1,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>[4,2,1]
[4,2,5,6,3,7,1]=>([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>[4,2,1]
[4,2,5,6,7,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)=>[4,2,1]
[4,2,5,6,7,3,1]=>([(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>[4,2,1]
[4,2,5,7,1,3,6]=>([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>[3,3,1]
[4,2,5,7,1,6,3]=>([(0,6),(1,4),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>[3,2,2]
[4,2,5,7,3,1,6]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>[3,3,1]
[4,2,5,7,3,6,1]=>([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>[3,3,1]
[4,2,5,7,6,1,3]=>([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)=>[3,2,2]
[4,2,5,7,6,3,1]=>([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>[3,2,1,1]
[4,2,6,1,3,5,7]=>([(0,5),(1,4),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>[4,2,1]
[4,2,6,1,3,7,5]=>([(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>[3,3,1]
[4,2,6,1,5,3,7]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[4,2,6,1,5,7,3]=>([(0,3),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>[3,2,2]
[4,2,6,1,7,3,5]=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(5,4),(6,3)],7)=>[3,3,1]
[4,2,6,1,7,5,3]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,2]
[4,2,6,3,1,5,7]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[4,2,6,3,1,7,5]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[4,2,6,3,5,1,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[4,2,6,3,5,7,1]=>([(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[4,2,6,3,7,1,5]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5)],7)=>[3,3,1]
[4,2,6,3,7,5,1]=>([(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[4,2,6,5,1,3,7]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[4,2,6,5,1,7,3]=>([(0,3),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,2]
[4,2,6,5,3,1,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[4,2,6,5,3,7,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[4,2,6,5,7,1,3]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>[3,2,2]
[4,2,6,5,7,3,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[4,2,6,7,1,3,5]=>([(0,5),(0,6),(1,4),(2,4),(2,6),(4,5),(6,3)],7)=>[3,3,1]
[4,2,6,7,1,5,3]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>[3,2,2]
[4,2,6,7,3,1,5]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>[3,3,1]
[4,2,6,7,3,5,1]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>[3,3,1]
[4,2,6,7,5,1,3]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[4,2,6,7,5,3,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
[4,2,7,1,3,5,6]=>([(0,5),(1,4),(1,6),(2,4),(2,5),(5,6),(6,3)],7)=>[4,2,1]
[4,2,7,1,3,6,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7)=>[3,2,2]
[4,2,7,1,5,3,6]=>([(0,3),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>[3,2,2]
[4,2,7,1,5,6,3]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[4,2,7,1,6,3,5]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,2]
[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[4,2,7,3,1,5,6]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>[4,2,1]
[4,2,7,3,1,6,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>[3,2,2]
[4,2,7,3,5,1,6]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(6,5)],7)=>[4,2,1]
[4,2,7,3,5,6,1]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>[4,2,1]
[4,2,7,3,6,1,5]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>[3,2,2]
[4,2,7,3,6,5,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>[3,2,1,1]
[4,2,7,5,1,3,6]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>[3,2,2]
[4,2,7,5,1,6,3]=>([(0,3),(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[4,2,7,5,3,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>[3,2,1,1]
[4,2,7,5,3,6,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>[3,2,1,1]
[4,2,7,5,6,1,3]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[4,2,7,5,6,3,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
[4,2,7,6,1,3,5]=>([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[4,2,7,6,3,1,5]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>[3,2,1,1]
[4,2,7,6,3,5,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>[3,2,1,1]
[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
[4,3,1,2,5,6,7]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>[5,1,1]
[4,3,1,2,5,7,6]=>([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>[4,2,1]
[4,3,1,2,6,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[4,3,1,2,6,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[4,3,1,2,7,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[4,3,1,2,7,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[4,3,1,5,2,6,7]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>[4,2,1]
[4,3,1,5,2,7,6]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>[3,3,1]
[4,3,1,5,6,2,7]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)=>[4,2,1]
[4,3,1,5,6,7,2]=>([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>[4,2,1]
[4,3,1,5,7,2,6]=>([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>[3,3,1]
[4,3,1,5,7,6,2]=>([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>[3,2,2]
[4,3,1,6,2,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[4,3,1,6,2,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>[3,3,1]
[4,3,1,6,5,2,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[4,3,1,6,5,7,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>[3,2,2]
[4,3,1,6,7,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>[3,3,1]
[4,3,1,6,7,5,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[4,3,1,7,2,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>[4,2,1]
[4,3,1,7,2,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>[3,2,2]
[4,3,1,7,5,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>[3,2,2]
[4,3,1,7,5,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[4,3,1,7,6,2,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>[3,2,2]
[4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[4,3,2,1,5,6,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>[4,1,1,1]
[4,3,2,1,5,7,6]=>([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>[3,2,1,1]
[4,3,2,1,6,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[3,2,1,1]
[4,3,2,1,6,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[4,3,2,1,7,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[4,3,2,1,7,6,5]=>([(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)=>[2,2,2,1]
[4,3,2,5,1,6,7]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>[4,1,1,1]
[4,3,2,5,1,7,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>[3,2,1,1]
[4,3,2,5,6,1,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)=>[4,1,1,1]
[4,3,2,5,6,7,1]=>([(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>[4,1,1,1]
[4,3,2,5,7,1,6]=>([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>[3,2,1,1]
[4,3,2,5,7,6,1]=>([(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>[3,2,1,1]
[4,3,2,6,1,5,7]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[3,2,1,1]
[4,3,2,6,1,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>[3,2,1,1]
[4,3,2,6,5,1,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[4,3,2,6,5,7,1]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[3,2,1,1]
[4,3,2,6,7,1,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>[3,2,1,1]
[4,3,2,6,7,5,1]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[4,3,2,7,1,5,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[4,3,2,7,1,6,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[4,3,2,7,5,1,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>[3,2,1,1]
[4,3,2,7,5,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[4,3,2,7,6,1,5]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[4,3,2,7,6,5,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[4,3,5,1,2,6,7]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>[4,2,1]
[4,3,5,1,2,7,6]=>([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,3,5,1,6,2,7]=>([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[4,3,5,1,6,7,2]=>([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)=>[4,2,1]
[4,3,5,1,7,2,6]=>([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,3,5,1,7,6,2]=>([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>[3,2,2]
[4,3,5,2,1,6,7]=>([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>[4,1,1,1]
[4,3,5,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[4,3,5,2,6,1,7]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[4,3,5,2,6,7,1]=>([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>[4,1,1,1]
[4,3,5,2,7,1,6]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[4,3,5,2,7,6,1]=>([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[4,3,5,6,1,2,7]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)=>[4,2,1]
[4,3,5,6,1,7,2]=>([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)=>[4,2,1]
[4,3,5,6,2,1,7]=>([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>[4,1,1,1]
[4,3,5,6,2,7,1]=>([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>[4,1,1,1]
[4,3,5,6,7,1,2]=>([(0,6),(1,6),(2,3),(4,5),(6,4)],7)=>[4,2,1]
[4,3,5,6,7,2,1]=>([(2,6),(3,6),(4,5),(6,4)],7)=>[4,1,1,1]
[4,3,5,7,1,2,6]=>([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)=>[3,3,1]
[4,3,5,7,1,6,2]=>([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>[3,2,2]
[4,3,5,7,2,1,6]=>([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)=>[3,2,1,1]
[4,3,5,7,2,6,1]=>([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>[3,2,1,1]
[4,3,5,7,6,1,2]=>([(0,6),(1,6),(2,3),(6,4),(6,5)],7)=>[3,2,2]
[4,3,5,7,6,2,1]=>([(2,6),(3,6),(6,4),(6,5)],7)=>[3,2,1,1]
[4,3,6,1,2,5,7]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[4,3,6,1,2,7,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)=>[3,3,1]
[4,3,6,1,5,2,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[4,3,6,1,5,7,2]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)=>[3,2,2]
[4,3,6,1,7,2,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>[3,3,1]
[4,3,6,1,7,5,2]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)=>[3,2,2]
[4,3,6,2,1,5,7]=>([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>[3,2,1,1]
[4,3,6,2,1,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[4,3,6,2,5,1,7]=>([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[4,3,6,2,5,7,1]=>([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>[3,2,1,1]
[4,3,6,2,7,1,5]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[4,3,6,2,7,5,1]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[4,3,6,5,1,2,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[4,3,6,5,1,7,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>[3,2,2]
[4,3,6,5,2,1,7]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[4,3,6,5,2,7,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[4,3,6,5,7,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)=>[3,2,2]
[4,3,6,5,7,2,1]=>([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[4,3,6,7,1,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>[3,3,1]
[4,3,6,7,1,5,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)=>[3,2,2]
[4,3,6,7,2,1,5]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>[3,2,1,1]
[4,3,6,7,2,5,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>[3,2,1,1]
[4,3,6,7,5,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>[3,2,2]
[4,3,6,7,5,2,1]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[4,3,7,1,2,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>[4,2,1]
[4,3,7,1,2,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)=>[3,2,2]
[4,3,7,1,5,2,6]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)=>[3,2,2]
[4,3,7,1,5,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)=>[3,2,2]
[4,3,7,1,6,2,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7)=>[3,2,2]
[4,3,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>[2,2,2,1]
[4,3,7,2,1,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[4,3,7,2,1,6,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[4,3,7,2,5,1,6]=>([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)=>[3,2,1,1]
[4,3,7,2,5,6,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[4,3,7,2,6,1,5]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[4,3,7,2,6,5,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[4,3,7,5,1,2,6]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)=>[3,2,2]
[4,3,7,5,1,6,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)=>[3,2,2]
[4,3,7,5,2,1,6]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
[4,3,7,5,2,6,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
[4,3,7,5,6,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>[3,2,2]
[4,3,7,5,6,2,1]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[4,3,7,6,1,2,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,6)],7)=>[3,2,2]
[4,3,7,6,1,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>[2,2,2,1]
[4,3,7,6,2,1,5]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[4,3,7,6,2,5,1]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[4,3,7,6,5,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7)=>[2,2,2,1]
[4,3,7,6,5,2,1]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
[4,5,1,2,3,6,7]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)=>[5,2]
[4,5,1,2,3,7,6]=>([(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>[4,3]
[4,5,1,2,6,3,7]=>([(0,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>[4,3]
[4,5,1,2,6,7,3]=>([(0,4),(1,5),(4,6),(5,2),(5,6),(6,3)],7)=>[4,3]
[4,5,1,2,7,3,6]=>([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>[4,3]
[4,5,1,2,7,6,3]=>([(0,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>[3,3,1]
[4,5,1,3,2,6,7]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(5,6),(6,4)],7)=>[4,2,1]
[4,5,1,3,2,7,6]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,5,1,3,6,2,7]=>([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(5,6)],7)=>[4,2,1]
[4,5,1,3,6,7,2]=>([(0,5),(1,2),(1,3),(3,6),(5,6),(6,4)],7)=>[4,2,1]
[4,5,1,3,7,2,6]=>([(0,4),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,5,1,3,7,6,2]=>([(0,4),(1,2),(1,3),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,5,1,6,2,3,7]=>([(0,3),(1,4),(1,6),(2,5),(3,6),(4,2),(6,5)],7)=>[4,3]
[4,5,1,6,2,7,3]=>([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7)=>[4,3]
[4,5,1,6,3,2,7]=>([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[4,5,1,6,3,7,2]=>([(0,4),(1,2),(1,3),(1,5),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[4,5,1,6,7,2,3]=>([(0,4),(1,5),(1,6),(4,6),(5,2),(6,3)],7)=>[4,3]
[4,5,1,6,7,3,2]=>([(0,5),(1,2),(1,3),(1,6),(5,6),(6,4)],7)=>[4,2,1]
[4,5,1,7,2,3,6]=>([(0,3),(1,4),(1,6),(2,5),(3,5),(3,6),(4,2)],7)=>[4,3]
[4,5,1,7,2,6,3]=>([(0,3),(1,4),(1,6),(3,5),(3,6),(4,2),(4,5)],7)=>[3,3,1]
[4,5,1,7,3,2,6]=>([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,5,1,7,3,6,2]=>([(0,4),(1,2),(1,3),(1,6),(3,5),(4,5),(4,6)],7)=>[3,3,1]
[4,5,1,7,6,2,3]=>([(0,3),(1,4),(1,5),(1,6),(3,5),(3,6),(4,2)],7)=>[3,3,1]
[4,5,1,7,6,3,2]=>([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)=>[3,2,1,1]
[4,5,2,1,3,6,7]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>[4,2,1]
[4,5,2,1,3,7,6]=>([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,5,2,1,6,3,7]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[4,5,2,1,6,7,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>[4,2,1]
[4,5,2,1,7,3,6]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)=>[3,3,1]
[4,5,2,1,7,6,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)=>[3,2,2]
[4,5,2,3,1,6,7]=>([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>[4,2,1]
[4,5,2,3,1,7,6]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,5,2,3,6,1,7]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>[4,2,1]
[4,5,2,3,6,7,1]=>([(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>[4,2,1]
[4,5,2,3,7,1,6]=>([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,5,2,3,7,6,1]=>([(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,5,2,6,1,3,7]=>([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[4,5,2,6,1,7,3]=>([(0,4),(0,6),(1,4),(1,5),(2,3),(3,6),(6,5)],7)=>[4,2,1]
[4,5,2,6,3,1,7]=>([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[4,5,2,6,3,7,1]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[4,5,2,6,7,1,3]=>([(0,5),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>[4,2,1]
[4,5,2,6,7,3,1]=>([(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>[4,2,1]
[4,5,2,7,1,3,6]=>([(0,4),(1,4),(1,5),(2,3),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[4,5,2,7,1,6,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)=>[3,2,2]
[4,5,2,7,3,1,6]=>([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,5,2,7,3,6,1]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,5,2,7,6,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)=>[3,2,2]
[4,5,2,7,6,3,1]=>([(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>[3,2,1,1]
[4,5,3,1,2,6,7]=>([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>[4,2,1]
[4,5,3,1,2,7,6]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,5,3,1,6,2,7]=>([(0,6),(1,3),(2,4),(2,6),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[4,5,3,1,6,7,2]=>([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>[4,2,1]
[4,5,3,1,7,2,6]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,5,3,1,7,6,2]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>[3,2,2]
[4,5,3,2,1,6,7]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[4,5,3,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[4,5,3,2,6,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[4,5,3,2,6,7,1]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[4,5,3,2,7,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[4,5,3,2,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[4,5,3,6,1,2,7]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[4,5,3,6,1,7,2]=>([(0,6),(1,4),(2,3),(2,5),(4,6),(6,5)],7)=>[4,2,1]
[4,5,3,6,2,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
[4,5,3,6,2,7,1]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[4,5,3,6,7,1,2]=>([(0,6),(1,3),(2,4),(4,6),(6,5)],7)=>[4,2,1]
[4,5,3,6,7,2,1]=>([(2,6),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[4,5,3,7,1,2,6]=>([(0,5),(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,5,3,7,1,6,2]=>([(0,5),(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>[3,2,2]
[4,5,3,7,2,1,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[4,5,3,7,2,6,1]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[4,5,3,7,6,1,2]=>([(0,5),(0,6),(1,3),(2,4),(4,5),(4,6)],7)=>[3,2,2]
[4,5,3,7,6,2,1]=>([(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[4,5,6,1,2,3,7]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>[4,3]
[4,5,6,1,2,7,3]=>([(0,5),(1,4),(3,6),(4,3),(5,2),(5,6)],7)=>[4,3]
[4,5,6,1,3,2,7]=>([(0,5),(1,3),(1,4),(2,6),(3,6),(4,6),(5,2)],7)=>[4,2,1]
[4,5,6,1,3,7,2]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>[4,2,1]
[4,5,6,1,7,2,3]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>[4,3]
[4,5,6,1,7,3,2]=>([(0,5),(1,2),(1,3),(1,6),(4,6),(5,4)],7)=>[4,2,1]
[4,5,6,2,1,3,7]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)=>[4,2,1]
[4,5,6,2,1,7,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>[4,2,1]
[4,5,6,2,3,1,7]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[4,5,6,2,3,7,1]=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[4,5,6,2,7,1,3]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>[4,2,1]
[4,5,6,2,7,3,1]=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>[4,2,1]
[4,5,6,3,1,2,7]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[4,5,6,3,1,7,2]=>([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>[4,2,1]
[4,5,6,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
[4,5,6,3,2,7,1]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
[4,5,6,3,7,1,2]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7)=>[4,2,1]
[4,5,6,3,7,2,1]=>([(2,6),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
[4,5,6,7,1,2,3]=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7)=>[4,3]
[4,5,6,7,1,3,2]=>([(0,6),(1,3),(1,4),(5,2),(6,5)],7)=>[4,2,1]
[4,5,6,7,2,1,3]=>([(0,3),(1,6),(2,6),(3,5),(5,4)],7)=>[4,2,1]
[4,5,6,7,2,3,1]=>([(1,6),(2,4),(5,3),(6,5)],7)=>[4,2,1]
[4,5,6,7,3,1,2]=>([(1,6),(2,4),(5,3),(6,5)],7)=>[4,2,1]
[4,5,6,7,3,2,1]=>([(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[4,5,7,1,2,3,6]=>([(0,5),(1,4),(3,6),(4,3),(5,2),(5,6)],7)=>[4,3]
[4,5,7,1,2,6,3]=>([(0,5),(1,4),(4,2),(4,6),(5,3),(5,6)],7)=>[3,3,1]
[4,5,7,1,3,2,6]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2),(5,6)],7)=>[3,3,1]
[4,5,7,1,3,6,2]=>([(0,5),(1,3),(1,4),(4,6),(5,2),(5,6)],7)=>[3,3,1]
[4,5,7,1,6,2,3]=>([(0,5),(1,4),(1,6),(4,3),(5,2),(5,6)],7)=>[3,3,1]
[4,5,7,1,6,3,2]=>([(0,5),(1,3),(1,4),(1,6),(5,2),(5,6)],7)=>[3,2,1,1]
[4,5,7,2,1,3,6]=>([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)=>[3,3,1]
[4,5,7,2,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>[3,2,2]
[4,5,7,2,3,1,6]=>([(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,5,7,2,3,6,1]=>([(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,5,7,2,6,1,3]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>[3,2,2]
[4,5,7,2,6,3,1]=>([(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>[3,2,1,1]
[4,5,7,3,1,2,6]=>([(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,5,7,3,1,6,2]=>([(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>[3,2,2]
[4,5,7,3,2,1,6]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[4,5,7,3,2,6,1]=>([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[4,5,7,3,6,1,2]=>([(0,6),(1,3),(2,4),(4,5),(4,6)],7)=>[3,2,2]
[4,5,7,3,6,2,1]=>([(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[4,5,7,6,1,2,3]=>([(0,6),(1,5),(5,4),(6,2),(6,3)],7)=>[3,3,1]
[4,5,7,6,1,3,2]=>([(0,6),(1,4),(1,5),(6,2),(6,3)],7)=>[3,2,1,1]
[4,5,7,6,2,1,3]=>([(0,3),(1,6),(2,6),(3,4),(3,5)],7)=>[3,2,1,1]
[4,5,7,6,2,3,1]=>([(1,5),(2,6),(6,3),(6,4)],7)=>[3,2,1,1]
[4,5,7,6,3,1,2]=>([(1,5),(2,6),(6,3),(6,4)],7)=>[3,2,1,1]
[4,5,7,6,3,2,1]=>([(3,4),(4,5),(4,6)],7)=>[3,1,1,1,1]
[4,6,1,2,3,5,7]=>([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>[5,2]
[4,6,1,2,3,7,5]=>([(0,3),(0,6),(1,4),(2,5),(2,6),(3,5),(4,2)],7)=>[4,3]
[4,6,1,2,5,3,7]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(4,2),(4,5),(5,6)],7)=>[4,2,1]
[4,6,1,2,5,7,3]=>([(0,3),(0,6),(1,4),(3,5),(4,2),(4,6),(6,5)],7)=>[4,2,1]
[4,6,1,2,7,3,5]=>([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>[4,3]
[4,6,1,2,7,5,3]=>([(0,3),(0,6),(1,4),(3,5),(4,2),(4,5),(4,6)],7)=>[3,3,1]
[4,6,1,3,2,5,7]=>([(0,4),(0,6),(1,2),(1,3),(2,6),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[4,6,1,3,2,7,5]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5)],7)=>[3,3,1]
[4,6,1,3,5,2,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[4,6,1,3,5,7,2]=>([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[4,6,1,3,7,2,5]=>([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5)],7)=>[3,3,1]
[4,6,1,3,7,5,2]=>([(0,4),(0,6),(1,2),(1,3),(3,5),(3,6),(4,5)],7)=>[3,3,1]
[4,6,1,5,2,3,7]=>([(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7)=>[4,2,1]
[4,6,1,5,2,7,3]=>([(0,3),(0,5),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>[3,3,1]
[4,6,1,5,3,2,7]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[4,6,1,5,3,7,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[4,6,1,5,7,2,3]=>([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>[3,3,1]
[4,6,1,5,7,3,2]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(4,5),(6,5)],7)=>[3,2,1,1]
[4,6,1,7,2,3,5]=>([(0,3),(0,5),(1,4),(1,6),(2,5),(3,6),(4,2)],7)=>[4,3]
[4,6,1,7,2,5,3]=>([(0,3),(0,6),(1,4),(1,5),(3,5),(4,2),(4,6)],7)=>[3,3,1]
[4,6,1,7,3,2,5]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5)],7)=>[3,3,1]
[4,6,1,7,3,5,2]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(3,6),(4,5)],7)=>[3,3,1]
[4,6,1,7,5,2,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,5),(4,2)],7)=>[3,3,1]
[4,6,1,7,5,3,2]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(4,5)],7)=>[3,2,1,1]
[4,6,2,1,3,5,7]=>([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[4,6,2,1,3,7,5]=>([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,6,2,1,5,3,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[4,6,2,1,5,7,3]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)=>[3,2,2]
[4,6,2,1,7,3,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>[3,3,1]
[4,6,2,1,7,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7)=>[3,2,2]
[4,6,2,3,1,5,7]=>([(0,6),(1,3),(2,4),(2,6),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[4,6,2,3,1,7,5]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,6,2,3,5,1,7]=>([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[4,6,2,3,5,7,1]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[4,6,2,3,7,1,5]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7)=>[3,3,1]
[4,6,2,3,7,5,1]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,6,2,5,1,3,7]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[4,6,2,5,1,7,3]=>([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7)=>[3,2,2]
[4,6,2,5,3,1,7]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[4,6,2,5,3,7,1]=>([(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[4,6,2,5,7,1,3]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7)=>[3,2,2]
[4,6,2,5,7,3,1]=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[4,6,2,7,1,3,5]=>([(0,4),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>[3,3,1]
[4,6,2,7,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,5)],7)=>[3,2,2]
[4,6,2,7,3,1,5]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>[3,3,1]
[4,6,2,7,3,5,1]=>([(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>[3,3,1]
[4,6,2,7,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7)=>[3,2,2]
[4,6,2,7,5,3,1]=>([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>[3,2,1,1]
[4,6,3,1,2,5,7]=>([(0,6),(1,3),(2,4),(2,6),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[4,6,3,1,2,7,5]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[4,6,3,1,5,2,7]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[4,6,3,1,5,7,2]=>([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5),(6,5)],7)=>[3,2,2]
[4,6,3,1,7,2,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>[3,3,1]
[4,6,3,1,7,5,2]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>[3,2,2]
[4,6,3,2,1,5,7]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>[3,2,1,1]
[4,6,3,2,1,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[4,6,3,2,5,1,7]=>([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[4,6,3,2,5,7,1]=>([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>[3,2,1,1]
[4,6,3,2,7,1,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[4,6,3,2,7,5,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[4,6,3,5,1,2,7]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[4,6,3,5,1,7,2]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,2]
[4,6,3,5,2,1,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[4,6,3,5,2,7,1]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[4,6,3,5,7,1,2]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,2]
[4,6,3,5,7,2,1]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[4,6,3,7,1,2,5]=>([(0,5),(0,6),(1,3),(2,4),(2,6),(3,6),(4,5)],7)=>[3,3,1]
[4,6,3,7,1,5,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>[3,2,2]
[4,6,3,7,2,1,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[4,6,3,7,2,5,1]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[4,6,3,7,5,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(4,6)],7)=>[3,2,2]
[4,6,3,7,5,2,1]=>([(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[4,6,5,1,2,3,7]=>([(0,5),(1,3),(1,4),(2,6),(3,6),(4,6),(5,2)],7)=>[4,2,1]
[4,6,5,1,2,7,3]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2),(5,6)],7)=>[3,3,1]
[4,6,5,1,3,2,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[4,6,5,1,3,7,2]=>([(0,3),(0,4),(1,2),(1,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[4,6,5,1,7,2,3]=>([(0,5),(0,6),(1,3),(1,4),(3,6),(4,6),(5,2)],7)=>[3,3,1]
[4,6,5,1,7,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(4,6),(5,6)],7)=>[3,2,1,1]
[4,6,5,2,1,3,7]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[4,6,5,2,1,7,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>[3,2,1,1]
[4,6,5,2,3,1,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[4,6,5,2,3,7,1]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[4,6,5,2,7,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>[3,2,1,1]
[4,6,5,2,7,3,1]=>([(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[4,6,5,3,1,2,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[4,6,5,3,1,7,2]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[4,6,5,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[4,6,5,3,2,7,1]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[4,6,5,3,7,1,2]=>([(0,6),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[4,6,5,3,7,2,1]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[4,6,5,7,1,2,3]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7)=>[3,3,1]
[4,6,5,7,1,3,2]=>([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7)=>[3,2,1,1]
[4,6,5,7,2,1,3]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>[3,2,1,1]
[4,6,5,7,2,3,1]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[4,6,5,7,3,1,2]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[4,6,5,7,3,2,1]=>([(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[4,6,7,1,2,3,5]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>[4,3]
[4,6,7,1,2,5,3]=>([(0,5),(1,4),(1,6),(4,3),(5,2),(5,6)],7)=>[3,3,1]
[4,6,7,1,3,2,5]=>([(0,5),(0,6),(1,3),(1,4),(3,6),(4,6),(5,2)],7)=>[3,3,1]
[4,6,7,1,3,5,2]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>[3,3,1]
[4,6,7,1,5,2,3]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>[3,3,1]
[4,6,7,1,5,3,2]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(5,2)],7)=>[3,2,1,1]
[4,6,7,2,1,3,5]=>([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)=>[3,3,1]
[4,6,7,2,1,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>[3,2,2]
[4,6,7,2,3,1,5]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>[3,3,1]
[4,6,7,2,3,5,1]=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>[3,3,1]
[4,6,7,2,5,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>[3,2,2]
[4,6,7,2,5,3,1]=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>[3,2,1,1]
[4,6,7,3,1,2,5]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>[3,3,1]
[4,6,7,3,1,5,2]=>([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>[3,2,2]
[4,6,7,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[4,6,7,3,2,5,1]=>([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[4,6,7,3,5,1,2]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7)=>[3,2,2]
[4,6,7,3,5,2,1]=>([(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[4,6,7,5,1,2,3]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7)=>[3,3,1]
[4,6,7,5,1,3,2]=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
[4,6,7,5,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>[3,2,1,1]
[4,6,7,5,2,3,1]=>([(1,5),(2,4),(2,6),(6,3)],7)=>[3,2,1,1]
[4,6,7,5,3,1,2]=>([(1,5),(2,4),(2,6),(6,3)],7)=>[3,2,1,1]
[4,6,7,5,3,2,1]=>([(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
[4,7,1,2,3,5,6]=>([(0,5),(1,4),(1,6),(2,6),(5,2),(6,3)],7)=>[5,2]
[4,7,1,2,3,6,5]=>([(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(4,2)],7)=>[4,2,1]
[4,7,1,2,5,3,6]=>([(0,3),(0,6),(1,4),(2,5),(4,2),(4,6),(6,5)],7)=>[4,2,1]
[4,7,1,2,5,6,3]=>([(0,5),(1,4),(1,6),(5,2),(5,6),(6,3)],7)=>[4,2,1]
[4,7,1,2,6,3,5]=>([(0,4),(1,3),(1,5),(1,6),(2,5),(4,2),(4,6)],7)=>[4,2,1]
[4,7,1,2,6,5,3]=>([(0,4),(1,3),(1,5),(1,6),(4,2),(4,5),(4,6)],7)=>[3,2,1,1]
[4,7,1,3,2,5,6]=>([(0,5),(0,6),(1,2),(1,3),(2,6),(3,6),(6,4)],7)=>[4,2,1]
[4,7,1,3,2,6,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)=>[3,2,2]
[4,7,1,3,5,2,6]=>([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(6,5)],7)=>[4,2,1]
[4,7,1,3,5,6,2]=>([(0,5),(0,6),(1,2),(1,3),(3,6),(6,4)],7)=>[4,2,1]
[4,7,1,3,6,2,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6)],7)=>[3,2,2]
[4,7,1,3,6,5,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(3,5),(3,6)],7)=>[3,2,1,1]
[4,7,1,5,2,3,6]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(4,2),(6,5)],7)=>[4,2,1]
[4,7,1,5,2,6,3]=>([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>[3,3,1]
[4,7,1,5,3,2,6]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6)],7)=>[3,2,1,1]
[4,7,1,5,3,6,2]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(3,5),(6,5)],7)=>[3,2,1,1]
[4,7,1,5,6,2,3]=>([(0,4),(0,6),(1,5),(1,6),(5,2),(6,3)],7)=>[3,3,1]
[4,7,1,5,6,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,6),(6,4)],7)=>[3,2,1,1]
[4,7,1,6,2,3,5]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(4,2)],7)=>[4,2,1]
[4,7,1,6,2,5,3]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(4,2),(4,5)],7)=>[3,2,1,1]
[4,7,1,6,3,2,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6)],7)=>[3,2,1,1]
[4,7,1,6,3,5,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(3,5)],7)=>[3,2,1,1]
[4,7,1,6,5,2,3]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2)],7)=>[3,2,1,1]
[4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>[2,2,1,1,1]
[4,7,2,1,3,5,6]=>([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)=>[4,2,1]
[4,7,2,1,3,6,5]=>([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>[3,2,2]
[4,7,2,1,5,3,6]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)=>[3,2,2]
[4,7,2,1,5,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)=>[3,2,2]
[4,7,2,1,6,3,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)=>[3,2,2]
[4,7,2,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>[2,2,2,1]
[4,7,2,3,1,5,6]=>([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>[4,2,1]
[4,7,2,3,1,6,5]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>[3,2,2]
[4,7,2,3,5,1,6]=>([(0,5),(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>[4,2,1]
[4,7,2,3,5,6,1]=>([(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>[4,2,1]
[4,7,2,3,6,1,5]=>([(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>[3,2,2]
[4,7,2,3,6,5,1]=>([(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>[3,2,1,1]
[4,7,2,5,1,3,6]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7)=>[3,2,2]
[4,7,2,5,1,6,3]=>([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(5,6)],7)=>[3,2,2]
[4,7,2,5,3,1,6]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[4,7,2,5,3,6,1]=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[4,7,2,5,6,1,3]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(6,3)],7)=>[3,2,2]
[4,7,2,5,6,3,1]=>([(1,4),(1,6),(2,3),(2,6),(6,5)],7)=>[3,2,1,1]
[4,7,2,6,1,3,5]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>[3,2,2]
[4,7,2,6,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>[2,2,2,1]
[4,7,2,6,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>[3,2,1,1]
[4,7,2,6,3,5,1]=>([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>[3,2,1,1]
[4,7,2,6,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>[2,2,2,1]
[4,7,2,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>[2,2,1,1,1]
[4,7,3,1,2,5,6]=>([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>[4,2,1]
[4,7,3,1,2,6,5]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>[3,2,2]
[4,7,3,1,5,2,6]=>([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5),(6,5)],7)=>[3,2,2]
[4,7,3,1,5,6,2]=>([(0,6),(1,4),(1,6),(2,3),(2,6),(6,5)],7)=>[3,2,2]
[4,7,3,1,6,2,5]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>[3,2,2]
[4,7,3,1,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>[2,2,2,1]
[4,7,3,2,1,5,6]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>[3,2,1,1]
[4,7,3,2,1,6,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[4,7,3,2,5,1,6]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>[3,2,1,1]
[4,7,3,2,5,6,1]=>([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>[3,2,1,1]
[4,7,3,2,6,1,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[4,7,3,2,6,5,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[4,7,3,5,1,2,6]=>([(0,5),(1,4),(2,3),(2,5),(4,6),(5,6)],7)=>[3,2,2]
[4,7,3,5,1,6,2]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(5,6)],7)=>[3,2,2]
[4,7,3,5,2,1,6]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
[4,7,3,5,2,6,1]=>([(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
[4,7,3,5,6,1,2]=>([(0,6),(1,3),(2,4),(2,6),(6,5)],7)=>[3,2,2]
[4,7,3,5,6,2,1]=>([(2,6),(3,4),(3,6),(6,5)],7)=>[3,2,1,1]
[4,7,3,6,1,2,5]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,6)],7)=>[3,2,2]
[4,7,3,6,1,5,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[4,7,3,6,2,1,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[4,7,3,6,2,5,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[4,7,3,6,5,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[4,7,3,6,5,2,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
[4,7,5,1,2,3,6]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>[4,2,1]
[4,7,5,1,2,6,3]=>([(0,5),(1,3),(1,4),(4,6),(5,2),(5,6)],7)=>[3,3,1]
[4,7,5,1,3,2,6]=>([(0,3),(0,4),(1,2),(1,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[4,7,5,1,3,6,2]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>[3,2,1,1]
[4,7,5,1,6,2,3]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>[3,3,1]
[4,7,5,1,6,3,2]=>([(0,2),(0,5),(1,3),(1,4),(1,6),(5,6)],7)=>[3,2,1,1]
[4,7,5,2,1,3,6]=>([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>[3,2,1,1]
[4,7,5,2,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>[3,2,1,1]
[4,7,5,2,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>[3,2,1,1]
[4,7,5,2,3,6,1]=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>[3,2,1,1]
[4,7,5,2,6,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>[3,2,1,1]
[4,7,5,2,6,3,1]=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7)=>[3,2,1,1]
[4,7,5,3,1,2,6]=>([(0,6),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>[3,2,1,1]
[4,7,5,3,1,6,2]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(5,6)],7)=>[3,2,1,1]
[4,7,5,3,2,1,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
[4,7,5,3,2,6,1]=>([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
[4,7,5,3,6,1,2]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7)=>[3,2,1,1]
[4,7,5,3,6,2,1]=>([(2,6),(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
[4,7,5,6,1,2,3]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7)=>[3,3,1]
[4,7,5,6,1,3,2]=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
[4,7,5,6,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>[3,2,1,1]
[4,7,5,6,2,3,1]=>([(1,5),(2,4),(2,6),(6,3)],7)=>[3,2,1,1]
[4,7,5,6,3,1,2]=>([(1,5),(2,4),(2,6),(6,3)],7)=>[3,2,1,1]
[4,7,5,6,3,2,1]=>([(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
[4,7,6,1,2,3,5]=>([(0,5),(1,2),(1,3),(1,6),(4,6),(5,4)],7)=>[4,2,1]
[4,7,6,1,2,5,3]=>([(0,5),(1,3),(1,4),(1,6),(5,2),(5,6)],7)=>[3,2,1,1]
[4,7,6,1,3,2,5]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(4,6),(5,6)],7)=>[3,2,1,1]
[4,7,6,1,3,5,2]=>([(0,2),(0,5),(1,3),(1,4),(1,6),(5,6)],7)=>[3,2,1,1]
[4,7,6,1,5,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(5,2)],7)=>[3,2,1,1]
[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>[2,2,1,1,1]
[4,7,6,2,1,3,5]=>([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>[3,2,1,1]
[4,7,6,2,1,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>[2,2,2,1]
[4,7,6,2,3,1,5]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>[3,2,1,1]
[4,7,6,2,3,5,1]=>([(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>[3,2,1,1]
[4,7,6,2,5,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>[2,2,2,1]
[4,7,6,2,5,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>[2,2,1,1,1]
[4,7,6,3,1,2,5]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>[3,2,1,1]
[4,7,6,3,1,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>[2,2,2,1]
[4,7,6,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
[4,7,6,3,2,5,1]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
[4,7,6,3,5,1,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>[2,2,2,1]
[4,7,6,3,5,2,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
[4,7,6,5,1,2,3]=>([(0,6),(1,3),(1,4),(1,5),(6,2)],7)=>[3,2,1,1]
[4,7,6,5,1,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>[2,2,1,1,1]
[4,7,6,5,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>[2,2,1,1,1]
[4,7,6,5,2,3,1]=>([(1,6),(2,3),(2,4),(2,5)],7)=>[2,2,1,1,1]
[4,7,6,5,3,1,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>[2,2,1,1,1]
[4,7,6,5,3,2,1]=>([(3,4),(3,5),(3,6)],7)=>[2,1,1,1,1,1]
[5,1,2,3,4,6,7]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)=>[6,1]
[5,1,2,3,4,7,6]=>([(0,5),(0,6),(1,4),(2,5),(2,6),(3,2),(4,3)],7)=>[5,2]
[5,1,2,3,6,4,7]=>([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7)=>[5,2]
[5,1,2,3,6,7,4]=>([(0,6),(1,4),(4,5),(5,2),(5,6),(6,3)],7)=>[5,2]
[5,1,2,3,7,4,6]=>([(0,5),(0,6),(1,3),(2,6),(3,4),(4,2),(4,5)],7)=>[5,2]
[5,1,2,3,7,6,4]=>([(0,5),(0,6),(1,3),(3,4),(4,2),(4,5),(4,6)],7)=>[4,2,1]
[5,1,2,4,3,6,7]=>([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)=>[5,1,1]
[5,1,2,4,3,7,6]=>([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>[4,2,1]
[5,1,2,4,6,3,7]=>([(0,6),(1,4),(2,6),(3,5),(4,2),(4,3),(6,5)],7)=>[5,1,1]
[5,1,2,4,6,7,3]=>([(0,6),(1,5),(3,6),(5,2),(5,3),(6,4)],7)=>[5,1,1]
[5,1,2,4,7,3,6]=>([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>[4,2,1]
[5,1,2,4,7,6,3]=>([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)=>[4,2,1]
[5,1,2,6,3,4,7]=>([(0,6),(1,4),(2,5),(3,2),(4,3),(4,6),(6,5)],7)=>[5,2]
[5,1,2,6,3,7,4]=>([(0,6),(1,3),(3,4),(3,6),(4,2),(4,5),(6,5)],7)=>[4,3]
[5,1,2,6,4,3,7]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5),(5,6)],7)=>[4,2,1]
[5,1,2,6,4,7,3]=>([(0,6),(1,4),(3,5),(4,2),(4,3),(4,6),(6,5)],7)=>[4,2,1]
[5,1,2,6,7,3,4]=>([(0,6),(1,5),(4,2),(5,4),(5,6),(6,3)],7)=>[4,3]
[5,1,2,6,7,4,3]=>([(0,6),(1,5),(5,2),(5,3),(5,6),(6,4)],7)=>[4,2,1]
[5,1,2,7,3,4,6]=>([(0,5),(0,6),(1,4),(2,6),(3,2),(4,3),(4,5)],7)=>[5,2]
[5,1,2,7,3,6,4]=>([(0,5),(0,6),(1,4),(3,2),(3,5),(4,3),(4,6)],7)=>[4,2,1]
[5,1,2,7,4,3,6]=>([(0,5),(0,6),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5)],7)=>[4,2,1]
[5,1,2,7,4,6,3]=>([(0,5),(0,6),(1,4),(3,5),(4,2),(4,3),(4,6)],7)=>[4,2,1]
[5,1,2,7,6,3,4]=>([(0,5),(0,6),(1,4),(3,2),(4,3),(4,5),(4,6)],7)=>[4,2,1]
[5,1,2,7,6,4,3]=>([(0,5),(0,6),(1,4),(4,2),(4,3),(4,5),(4,6)],7)=>[3,2,1,1]
[5,1,3,2,4,6,7]=>([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7)=>[5,1,1]
[5,1,3,2,4,7,6]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(3,6),(6,4),(6,5)],7)=>[4,2,1]
[5,1,3,2,6,4,7]=>([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[5,1,3,2,6,7,4]=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[5,1,3,2,7,4,6]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>[4,2,1]
[5,1,3,2,7,6,4]=>([(0,5),(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[5,1,3,4,2,6,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>[5,1,1]
[5,1,3,4,2,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>[4,2,1]
[5,1,3,4,6,2,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>[5,1,1]
[5,1,3,4,6,7,2]=>([(0,6),(1,2),(1,5),(3,6),(5,3),(6,4)],7)=>[5,1,1]
[5,1,3,4,7,2,6]=>([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)=>[4,2,1]
[5,1,3,4,7,6,2]=>([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)=>[4,2,1]
[5,1,3,6,2,4,7]=>([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[5,1,3,6,2,7,4]=>([(0,2),(0,3),(1,6),(2,4),(2,5),(3,5),(3,6),(6,4)],7)=>[4,2,1]
[5,1,3,6,4,2,7]=>([(0,5),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5),(5,6)],7)=>[4,2,1]
[5,1,3,6,4,7,2]=>([(0,6),(1,2),(1,4),(3,5),(4,3),(4,6),(6,5)],7)=>[4,2,1]
[5,1,3,6,7,2,4]=>([(0,6),(1,3),(1,4),(3,5),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[5,1,3,6,7,4,2]=>([(0,6),(1,3),(1,5),(5,2),(5,6),(6,4)],7)=>[4,2,1]
[5,1,3,7,2,4,6]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(3,5),(3,6),(6,4)],7)=>[4,2,1]
[5,1,3,7,2,6,4]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[5,1,3,7,4,2,6]=>([(0,5),(0,6),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5)],7)=>[4,2,1]
[5,1,3,7,4,6,2]=>([(0,5),(0,6),(1,2),(1,4),(3,5),(4,3),(4,6)],7)=>[4,2,1]
[5,1,3,7,6,2,4]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[5,1,3,7,6,4,2]=>([(0,5),(0,6),(1,3),(1,4),(4,2),(4,5),(4,6)],7)=>[3,2,1,1]
[5,1,4,2,3,6,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>[5,1,1]
[5,1,4,2,3,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>[4,2,1]
[5,1,4,2,6,3,7]=>([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6),(6,5)],7)=>[4,2,1]
[5,1,4,2,6,7,3]=>([(0,6),(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>[4,2,1]
[5,1,4,2,7,3,6]=>([(0,5),(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>[4,2,1]
[5,1,4,2,7,6,3]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>[3,2,2]
[5,1,4,3,2,6,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[5,1,4,3,2,7,6]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[5,1,4,3,6,2,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>[4,1,1,1]
[5,1,4,3,6,7,2]=>([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[5,1,4,3,7,2,6]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[5,1,4,3,7,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[5,1,4,6,2,3,7]=>([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(6,5)],7)=>[4,2,1]
[5,1,4,6,2,7,3]=>([(0,6),(1,3),(1,4),(3,6),(4,2),(4,5),(6,5)],7)=>[4,2,1]
[5,1,4,6,3,2,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7)=>[4,1,1,1]
[5,1,4,6,3,7,2]=>([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)=>[4,1,1,1]
[5,1,4,6,7,2,3]=>([(0,6),(1,3),(1,5),(3,6),(5,2),(6,4)],7)=>[4,2,1]
[5,1,4,6,7,3,2]=>([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)=>[4,1,1,1]
[5,1,4,7,2,3,6]=>([(0,5),(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2)],7)=>[4,2,1]
[5,1,4,7,2,6,3]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,6)],7)=>[3,2,2]
[5,1,4,7,3,2,6]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[5,1,4,7,3,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[5,1,4,7,6,2,3]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2)],7)=>[3,2,2]
[5,1,4,7,6,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>[3,2,1,1]
[5,1,6,2,3,4,7]=>([(0,6),(1,4),(1,6),(2,5),(3,2),(4,3),(6,5)],7)=>[5,2]
[5,1,6,2,3,7,4]=>([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)=>[4,3]
[5,1,6,2,4,3,7]=>([(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3),(5,6)],7)=>[4,2,1]
[5,1,6,2,4,7,3]=>([(0,6),(1,4),(1,6),(3,5),(4,2),(4,3),(6,5)],7)=>[4,2,1]
[5,1,6,2,7,3,4]=>([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7)=>[4,3]
[5,1,6,2,7,4,3]=>([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)=>[3,3,1]
[5,1,6,3,2,4,7]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>[4,2,1]
[5,1,6,3,2,7,4]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[5,1,6,3,4,2,7]=>([(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7)=>[4,2,1]
[5,1,6,3,4,7,2]=>([(0,6),(1,2),(1,4),(1,6),(3,5),(4,3),(6,5)],7)=>[4,2,1]
[5,1,6,3,7,2,4]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>[3,3,1]
[5,1,6,3,7,4,2]=>([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>[3,3,1]
[5,1,6,4,2,3,7]=>([(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7)=>[4,2,1]
[5,1,6,4,2,7,3]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>[3,3,1]
[5,1,6,4,3,2,7]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[5,1,6,4,3,7,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[5,1,6,4,7,2,3]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>[3,3,1]
[5,1,6,4,7,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)=>[3,2,1,1]
[5,1,6,7,2,3,4]=>([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)=>[4,3]
[5,1,6,7,2,4,3]=>([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)=>[3,3,1]
[5,1,6,7,3,2,4]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)=>[3,3,1]
[5,1,6,7,3,4,2]=>([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>[3,3,1]
[5,1,6,7,4,2,3]=>([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>[3,3,1]
[5,1,6,7,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)=>[3,2,1,1]
[5,1,7,2,3,4,6]=>([(0,5),(0,6),(1,4),(1,6),(2,5),(3,2),(4,3)],7)=>[5,2]
[5,1,7,2,3,6,4]=>([(0,5),(0,6),(1,3),(1,6),(3,4),(4,2),(4,5)],7)=>[4,2,1]
[5,1,7,2,4,3,6]=>([(0,5),(0,6),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3)],7)=>[4,2,1]
[5,1,7,2,4,6,3]=>([(0,5),(0,6),(1,4),(1,6),(3,5),(4,2),(4,3)],7)=>[4,2,1]
[5,1,7,2,6,3,4]=>([(0,5),(0,6),(1,4),(1,6),(3,2),(4,3),(4,5)],7)=>[4,2,1]
[5,1,7,2,6,4,3]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(4,3),(4,5)],7)=>[3,2,1,1]
[5,1,7,3,2,4,6]=>([(0,2),(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(6,4)],7)=>[4,2,1]
[5,1,7,3,2,6,4]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>[3,2,2]
[5,1,7,3,4,2,6]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7)=>[4,2,1]
[5,1,7,3,4,6,2]=>([(0,5),(0,6),(1,2),(1,4),(1,6),(3,5),(4,3)],7)=>[4,2,1]
[5,1,7,3,6,2,4]=>([(0,2),(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5)],7)=>[3,2,2]
[5,1,7,3,6,4,2]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(4,2),(4,5)],7)=>[3,2,1,1]
[5,1,7,4,2,3,6]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7)=>[4,2,1]
[5,1,7,4,2,6,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6)],7)=>[3,2,2]
[5,1,7,4,3,2,6]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>[3,2,1,1]
[5,1,7,4,3,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7)=>[3,2,1,1]
[5,1,7,4,6,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(3,5),(4,2)],7)=>[3,2,2]
[5,1,7,4,6,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7)=>[3,2,1,1]
[5,1,7,6,2,3,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3)],7)=>[4,2,1]
[5,1,7,6,2,4,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(4,3)],7)=>[3,2,1,1]
[5,1,7,6,3,2,4]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(3,4)],7)=>[3,2,1,1]
[5,1,7,6,3,4,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,2)],7)=>[3,2,1,1]
[5,1,7,6,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,2)],7)=>[3,2,1,1]
[5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>[2,2,1,1,1]
[5,2,1,3,4,6,7]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)=>[5,1,1]
[5,2,1,3,4,7,6]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)=>[4,2,1]
[5,2,1,3,6,4,7]=>([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>[4,2,1]
[5,2,1,3,6,7,4]=>([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)=>[4,2,1]
[5,2,1,3,7,4,6]=>([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)=>[4,2,1]
[5,2,1,3,7,6,4]=>([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>[3,2,2]
[5,2,1,4,3,6,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>[4,2,1]
[5,2,1,4,3,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[5,2,1,4,6,3,7]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>[4,2,1]
[5,2,1,4,6,7,3]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>[4,2,1]
[5,2,1,4,7,3,6]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[5,2,1,4,7,6,3]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>[3,2,2]
[5,2,1,6,3,4,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)=>[4,2,1]
[5,2,1,6,3,7,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)=>[3,3,1]
[5,2,1,6,4,3,7]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[5,2,1,6,4,7,3]=>([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>[3,2,2]
[5,2,1,6,7,3,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>[3,3,1]
[5,2,1,6,7,4,3]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[5,2,1,7,3,4,6]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>[4,2,1]
[5,2,1,7,3,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)=>[3,2,2]
[5,2,1,7,4,3,6]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,2]
[5,2,1,7,4,6,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,2]
[5,2,1,7,6,3,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3)],7)=>[3,2,2]
[5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[5,2,3,1,4,6,7]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)=>[5,1,1]
[5,2,3,1,4,7,6]=>([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>[4,2,1]
[5,2,3,1,6,4,7]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[5,2,3,1,6,7,4]=>([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[5,2,3,1,7,4,6]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>[4,2,1]
[5,2,3,1,7,6,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[5,2,3,4,1,6,7]=>([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>[5,1,1]
[5,2,3,4,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>[4,2,1]
[5,2,3,4,6,1,7]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)=>[5,1,1]
[5,2,3,4,6,7,1]=>([(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>[5,1,1]
[5,2,3,4,7,1,6]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>[4,2,1]
[5,2,3,4,7,6,1]=>([(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>[4,2,1]
[5,2,3,6,1,4,7]=>([(0,6),(1,5),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[5,2,3,6,1,7,4]=>([(0,6),(1,4),(1,5),(2,3),(3,5),(3,6),(6,4)],7)=>[4,2,1]
[5,2,3,6,4,1,7]=>([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[5,2,3,6,4,7,1]=>([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[5,2,3,6,7,1,4]=>([(0,6),(1,5),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[5,2,3,6,7,4,1]=>([(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>[4,2,1]
[5,2,3,7,1,4,6]=>([(0,6),(1,4),(1,5),(2,3),(3,5),(3,6),(6,4)],7)=>[4,2,1]
[5,2,3,7,1,6,4]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[5,2,3,7,4,1,6]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(4,6)],7)=>[4,2,1]
[5,2,3,7,4,6,1]=>([(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>[4,2,1]
[5,2,3,7,6,1,4]=>([(0,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[5,2,3,7,6,4,1]=>([(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[5,2,4,1,3,6,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>[4,2,1]
[5,2,4,1,3,7,6]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[5,2,4,1,6,3,7]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[5,2,4,1,6,7,3]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>[4,2,1]
[5,2,4,1,7,3,6]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[5,2,4,1,7,6,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>[3,2,2]
[5,2,4,3,1,6,7]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[5,2,4,3,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[5,2,4,3,6,1,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[5,2,4,3,6,7,1]=>([(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[5,2,4,3,7,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[5,2,4,3,7,6,1]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[5,2,4,6,1,3,7]=>([(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[5,2,4,6,1,7,3]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,6),(6,5)],7)=>[4,2,1]
[5,2,4,6,3,1,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>[4,1,1,1]
[5,2,4,6,3,7,1]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>[4,1,1,1]
[5,2,4,6,7,1,3]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(6,4)],7)=>[4,2,1]
[5,2,4,6,7,3,1]=>([(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>[4,1,1,1]
[5,2,4,7,1,3,6]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[5,2,4,7,1,6,3]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>[3,2,2]
[5,2,4,7,3,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[5,2,4,7,3,6,1]=>([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[5,2,4,7,6,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>[3,2,2]
[5,2,4,7,6,3,1]=>([(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>[3,2,1,1]
[5,2,6,1,3,4,7]=>([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>[4,2,1]
[5,2,6,1,3,7,4]=>([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>[3,3,1]
[5,2,6,1,4,3,7]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[5,2,6,1,4,7,3]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>[3,2,2]
[5,2,6,1,7,3,4]=>([(0,5),(0,6),(1,4),(2,4),(2,6),(4,5),(6,3)],7)=>[3,3,1]
[5,2,6,1,7,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[5,2,6,3,1,4,7]=>([(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[5,2,6,3,1,7,4]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[5,2,6,3,4,1,7]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>[4,2,1]
[5,2,6,3,4,7,1]=>([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>[4,2,1]
[5,2,6,3,7,1,4]=>([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[5,2,6,3,7,4,1]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>[3,3,1]
[5,2,6,4,1,3,7]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[5,2,6,4,1,7,3]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>[3,2,2]
[5,2,6,4,3,1,7]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[5,2,6,4,3,7,1]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[5,2,6,4,7,1,3]=>([(0,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>[3,2,2]
[5,2,6,4,7,3,1]=>([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[5,2,6,7,1,3,4]=>([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)=>[3,3,1]
[5,2,6,7,1,4,3]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[5,2,6,7,3,1,4]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4)],7)=>[3,3,1]
[5,2,6,7,3,4,1]=>([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>[3,3,1]
[5,2,6,7,4,1,3]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[5,2,6,7,4,3,1]=>([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>[3,2,1,1]
[5,2,7,1,3,4,6]=>([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)=>[4,2,1]
[5,2,7,1,3,6,4]=>([(0,6),(1,4),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>[3,2,2]
[5,2,7,1,4,3,6]=>([(0,3),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,2]
[5,2,7,1,4,6,3]=>([(0,3),(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[5,2,7,1,6,3,4]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>[3,2,2]
[5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[5,2,7,3,1,4,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,6),(6,5)],7)=>[4,2,1]
[5,2,7,3,1,6,4]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>[3,2,2]
[5,2,7,3,4,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>[4,2,1]
[5,2,7,3,4,6,1]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>[4,2,1]
[5,2,7,3,6,1,4]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>[3,2,2]
[5,2,7,3,6,4,1]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>[3,2,1,1]
[5,2,7,4,1,3,6]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>[3,2,2]
[5,2,7,4,1,6,3]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>[3,2,2]
[5,2,7,4,3,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
[5,2,7,4,3,6,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
[5,2,7,4,6,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>[3,2,2]
[5,2,7,4,6,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>[3,2,1,1]
[5,2,7,6,1,3,4]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[5,2,7,6,3,1,4]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6)],7)=>[3,2,1,1]
[5,2,7,6,3,4,1]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>[3,2,1,1]
[5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
[5,3,1,2,4,6,7]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)=>[5,1,1]
[5,3,1,2,4,7,6]=>([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>[4,2,1]
[5,3,1,2,6,4,7]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[5,3,1,2,6,7,4]=>([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[5,3,1,2,7,4,6]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>[4,2,1]
[5,3,1,2,7,6,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[5,3,1,4,2,6,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>[4,2,1]
[5,3,1,4,2,7,6]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[5,3,1,4,6,2,7]=>([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[5,3,1,4,6,7,2]=>([(0,6),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>[4,2,1]
[5,3,1,4,7,2,6]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[5,3,1,4,7,6,2]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>[3,2,2]
[5,3,1,6,2,4,7]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4),(6,4)],7)=>[4,2,1]
[5,3,1,6,2,7,4]=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>[3,3,1]
[5,3,1,6,4,2,7]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[5,3,1,6,4,7,2]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>[3,2,2]
[5,3,1,6,7,2,4]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>[3,3,1]
[5,3,1,6,7,4,2]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(6,4)],7)=>[3,2,2]
[5,3,1,7,2,4,6]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>[4,2,1]
[5,3,1,7,2,6,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>[3,2,2]
[5,3,1,7,4,2,6]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,2]
[5,3,1,7,4,6,2]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,2]
[5,3,1,7,6,2,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>[3,2,2]
[5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[5,3,2,1,4,6,7]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>[4,1,1,1]
[5,3,2,1,4,7,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>[3,2,1,1]
[5,3,2,1,6,4,7]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[3,2,1,1]
[5,3,2,1,6,7,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[5,3,2,1,7,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>[3,2,1,1]
[5,3,2,1,7,6,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[5,3,2,4,1,6,7]=>([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>[4,1,1,1]
[5,3,2,4,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[5,3,2,4,6,1,7]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[5,3,2,4,6,7,1]=>([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>[4,1,1,1]
[5,3,2,4,7,1,6]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[5,3,2,4,7,6,1]=>([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[5,3,2,6,1,4,7]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[3,2,1,1]
[5,3,2,6,1,7,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)=>[3,2,1,1]
[5,3,2,6,4,1,7]=>([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[5,3,2,6,4,7,1]=>([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>[3,2,1,1]
[5,3,2,6,7,1,4]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[5,3,2,6,7,4,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[5,3,2,7,1,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)=>[3,2,1,1]
[5,3,2,7,1,6,4]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[5,3,2,7,4,1,6]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[5,3,2,7,4,6,1]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[5,3,2,7,6,1,4]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[5,3,2,7,6,4,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[5,3,4,1,2,6,7]=>([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>[4,2,1]
[5,3,4,1,2,7,6]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[5,3,4,1,6,2,7]=>([(0,6),(1,3),(2,4),(2,6),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[5,3,4,1,6,7,2]=>([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>[4,2,1]
[5,3,4,1,7,2,6]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[5,3,4,1,7,6,2]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>[3,2,2]
[5,3,4,2,1,6,7]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[5,3,4,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[5,3,4,2,6,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[5,3,4,2,6,7,1]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[5,3,4,2,7,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[5,3,4,2,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[5,3,4,6,1,2,7]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[5,3,4,6,1,7,2]=>([(0,6),(1,4),(2,3),(2,5),(4,6),(6,5)],7)=>[4,2,1]
[5,3,4,6,2,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
[5,3,4,6,2,7,1]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[5,3,4,6,7,1,2]=>([(0,6),(1,3),(2,4),(4,6),(6,5)],7)=>[4,2,1]
[5,3,4,6,7,2,1]=>([(2,6),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[5,3,4,7,1,2,6]=>([(0,5),(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[5,3,4,7,1,6,2]=>([(0,5),(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>[3,2,2]
[5,3,4,7,2,1,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[5,3,4,7,2,6,1]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[5,3,4,7,6,1,2]=>([(0,5),(0,6),(1,3),(2,4),(4,5),(4,6)],7)=>[3,2,2]
[5,3,4,7,6,2,1]=>([(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[5,3,6,1,2,4,7]=>([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[5,3,6,1,2,7,4]=>([(0,4),(1,4),(1,5),(2,3),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[5,3,6,1,4,2,7]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[5,3,6,1,4,7,2]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7)=>[3,2,2]
[5,3,6,1,7,2,4]=>([(0,4),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>[3,3,1]
[5,3,6,1,7,4,2]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>[3,2,2]
[5,3,6,2,1,4,7]=>([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)=>[3,2,1,1]
[5,3,6,2,1,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[5,3,6,2,4,1,7]=>([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[5,3,6,2,4,7,1]=>([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[5,3,6,2,7,1,4]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[5,3,6,2,7,4,1]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
[5,3,6,4,1,2,7]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[5,3,6,4,1,7,2]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,2]
[5,3,6,4,2,1,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[5,3,6,4,2,7,1]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[5,3,6,4,7,1,2]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,2]
[5,3,6,4,7,2,1]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[5,3,6,7,1,2,4]=>([(0,5),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>[3,3,1]
[5,3,6,7,1,4,2]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(6,3)],7)=>[3,2,2]
[5,3,6,7,2,1,4]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)=>[3,2,1,1]
[5,3,6,7,2,4,1]=>([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[5,3,6,7,4,1,2]=>([(0,6),(1,3),(2,4),(2,6),(6,5)],7)=>[3,2,2]
[5,3,6,7,4,2,1]=>([(2,6),(3,4),(3,6),(6,5)],7)=>[3,2,1,1]
[5,3,7,1,2,4,6]=>([(0,4),(0,6),(1,4),(1,5),(2,3),(3,6),(6,5)],7)=>[4,2,1]
[5,3,7,1,2,6,4]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)=>[3,2,2]
[5,3,7,1,4,2,6]=>([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7)=>[3,2,2]
[5,3,7,1,4,6,2]=>([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(5,6)],7)=>[3,2,2]
[5,3,7,1,6,2,4]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,5)],7)=>[3,2,2]
[5,3,7,1,6,4,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>[2,2,2,1]
[5,3,7,2,1,4,6]=>([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>[3,2,1,1]
[5,3,7,2,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[5,3,7,2,4,1,6]=>([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
[5,3,7,2,4,6,1]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
[5,3,7,2,6,1,4]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[5,3,7,2,6,4,1]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[5,3,7,4,1,2,6]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,2]
[5,3,7,4,1,6,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>[3,2,2]
[5,3,7,4,2,1,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[5,3,7,4,2,6,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[5,3,7,4,6,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(4,6)],7)=>[3,2,2]
[5,3,7,4,6,2,1]=>([(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[5,3,7,6,1,2,4]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(3,6)],7)=>[3,2,2]
[5,3,7,6,1,4,2]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>[2,2,2,1]
[5,3,7,6,2,1,4]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[5,3,7,6,2,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[5,3,7,6,4,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[5,3,7,6,4,2,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
[5,4,1,2,3,6,7]=>([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>[5,1,1]
[5,4,1,2,3,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>[4,2,1]
[5,4,1,2,6,3,7]=>([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[5,4,1,2,6,7,3]=>([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>[4,2,1]
[5,4,1,2,7,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>[4,2,1]
[5,4,1,2,7,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[5,4,1,3,2,6,7]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[5,4,1,3,2,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[5,4,1,3,6,2,7]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>[4,1,1,1]
[5,4,1,3,6,7,2]=>([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>[4,1,1,1]
[5,4,1,3,7,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[5,4,1,3,7,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>[3,2,1,1]
[5,4,1,6,2,3,7]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)=>[4,2,1]
[5,4,1,6,2,7,3]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>[3,3,1]
[5,4,1,6,3,2,7]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[5,4,1,6,3,7,2]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>[3,2,1,1]
[5,4,1,6,7,2,3]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>[3,3,1]
[5,4,1,6,7,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>[3,2,1,1]
[5,4,1,7,2,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>[4,2,1]
[5,4,1,7,2,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>[3,2,2]
[5,4,1,7,3,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
[5,4,1,7,3,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>[3,2,1,1]
[5,4,1,7,6,2,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>[3,2,2]
[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[5,4,2,1,3,6,7]=>([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>[4,1,1,1]
[5,4,2,1,3,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[5,4,2,1,6,3,7]=>([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>[3,2,1,1]
[5,4,2,1,6,7,3]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[5,4,2,1,7,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[5,4,2,1,7,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[5,4,2,3,1,6,7]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[5,4,2,3,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[5,4,2,3,6,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[5,4,2,3,6,7,1]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[5,4,2,3,7,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[5,4,2,3,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[5,4,2,6,1,3,7]=>([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)=>[3,2,1,1]
[5,4,2,6,1,7,3]=>([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>[3,2,1,1]
[5,4,2,6,3,1,7]=>([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[5,4,2,6,3,7,1]=>([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>[3,2,1,1]
[5,4,2,6,7,1,3]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[5,4,2,6,7,3,1]=>([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>[3,2,1,1]
[5,4,2,7,1,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[5,4,2,7,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[5,4,2,7,3,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[5,4,2,7,3,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[5,4,2,7,6,1,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[5,4,2,7,6,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[5,4,3,1,2,6,7]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[5,4,3,1,2,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[5,4,3,1,6,2,7]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>[3,2,1,1]
[5,4,3,1,6,7,2]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>[3,2,1,1]
[5,4,3,1,7,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[5,4,3,1,7,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[5,4,3,2,1,6,7]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>[3,1,1,1,1]
[5,4,3,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[5,4,3,2,6,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>[3,1,1,1,1]
[5,4,3,2,6,7,1]=>([(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>[3,1,1,1,1]
[5,4,3,2,7,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[5,4,3,2,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[5,4,3,6,1,2,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)=>[3,2,1,1]
[5,4,3,6,1,7,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)=>[3,2,1,1]
[5,4,3,6,2,1,7]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]
[5,4,3,6,2,7,1]=>([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>[3,1,1,1,1]
[5,4,3,6,7,1,2]=>([(0,6),(1,6),(2,6),(3,4),(6,5)],7)=>[3,2,1,1]
[5,4,3,6,7,2,1]=>([(2,6),(3,6),(4,6),(6,5)],7)=>[3,1,1,1,1]
[5,4,3,7,1,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
[5,4,3,7,1,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[5,4,3,7,2,1,6]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[5,4,3,7,2,6,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[5,4,3,7,6,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>[2,2,2,1]
[5,4,3,7,6,2,1]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[5,4,6,1,2,3,7]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)=>[4,2,1]
[5,4,6,1,2,7,3]=>([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)=>[3,3,1]
[5,4,6,1,3,2,7]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[5,4,6,1,3,7,2]=>([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>[3,2,1,1]
[5,4,6,1,7,2,3]=>([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)=>[3,3,1]
[5,4,6,1,7,3,2]=>([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>[3,2,1,1]
[5,4,6,2,1,3,7]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[5,4,6,2,1,7,3]=>([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[5,4,6,2,3,1,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[5,4,6,2,3,7,1]=>([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[5,4,6,2,7,1,3]=>([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[5,4,6,2,7,3,1]=>([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[5,4,6,3,1,2,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[5,4,6,3,1,7,2]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[5,4,6,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]
[5,4,6,3,2,7,1]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]
[5,4,6,3,7,1,2]=>([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>[3,2,1,1]
[5,4,6,3,7,2,1]=>([(2,6),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]
[5,4,6,7,1,2,3]=>([(0,6),(1,6),(2,3),(3,5),(6,4)],7)=>[3,3,1]
[5,4,6,7,1,3,2]=>([(0,6),(1,6),(2,3),(2,4),(6,5)],7)=>[3,2,1,1]
[5,4,6,7,2,1,3]=>([(0,6),(1,6),(2,5),(3,5),(6,4)],7)=>[3,2,1,1]
[5,4,6,7,2,3,1]=>([(1,6),(2,6),(3,4),(6,5)],7)=>[3,2,1,1]
[5,4,6,7,3,1,2]=>([(1,6),(2,6),(3,4),(6,5)],7)=>[3,2,1,1]
[5,4,6,7,3,2,1]=>([(3,6),(4,6),(6,5)],7)=>[3,1,1,1,1]
[5,4,7,1,2,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>[4,2,1]
[5,4,7,1,2,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>[3,2,2]
[5,4,7,1,3,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>[3,2,1,1]
[5,4,7,1,3,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>[3,2,1,1]
[5,4,7,1,6,2,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>[3,2,2]
[5,4,7,1,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>[2,2,2,1]
[5,4,7,2,1,3,6]=>([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[5,4,7,2,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[5,4,7,2,3,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
[5,4,7,2,3,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
[5,4,7,2,6,1,3]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>[2,2,2,1]
[5,4,7,2,6,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[5,4,7,3,1,2,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
[5,4,7,3,1,6,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[5,4,7,3,2,1,6]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[5,4,7,3,2,6,1]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[5,4,7,3,6,1,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>[2,2,2,1]
[5,4,7,3,6,2,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[5,4,7,6,1,2,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)=>[3,2,2]
[5,4,7,6,1,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>[2,2,2,1]
[5,4,7,6,2,1,3]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>[2,2,2,1]
[5,4,7,6,2,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>[2,2,2,1]
[5,4,7,6,3,1,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>[2,2,2,1]
[5,4,7,6,3,2,1]=>([(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[5,6,1,2,3,4,7]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>[5,2]
[5,6,1,2,3,7,4]=>([(0,5),(1,3),(3,6),(4,2),(4,6),(5,4)],7)=>[4,3]
[5,6,1,2,4,3,7]=>([(0,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>[4,2,1]
[5,6,1,2,4,7,3]=>([(0,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>[4,2,1]
[5,6,1,2,7,3,4]=>([(0,5),(1,3),(3,6),(4,2),(5,4),(5,6)],7)=>[4,3]
[5,6,1,2,7,4,3]=>([(0,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>[3,3,1]
[5,6,1,3,2,4,7]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[5,6,1,3,2,7,4]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[5,6,1,3,4,2,7]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,2,1]
[5,6,1,3,4,7,2]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>[4,2,1]
[5,6,1,3,7,2,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[5,6,1,3,7,4,2]=>([(0,4),(1,3),(1,5),(4,6),(5,2),(5,6)],7)=>[3,3,1]
[5,6,1,4,2,3,7]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,2,1]
[5,6,1,4,2,7,3]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>[3,3,1]
[5,6,1,4,3,2,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[5,6,1,4,3,7,2]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[5,6,1,4,7,2,3]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>[3,3,1]
[5,6,1,4,7,3,2]=>([(0,5),(1,2),(1,3),(1,4),(4,6),(5,6)],7)=>[3,2,1,1]
[5,6,1,7,2,3,4]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>[4,3]
[5,6,1,7,2,4,3]=>([(0,4),(1,5),(1,6),(4,6),(5,2),(5,3)],7)=>[3,3,1]
[5,6,1,7,3,2,4]=>([(0,4),(1,2),(1,3),(1,6),(2,5),(3,5),(4,6)],7)=>[3,3,1]
[5,6,1,7,3,4,2]=>([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2)],7)=>[3,3,1]
[5,6,1,7,4,2,3]=>([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2)],7)=>[3,3,1]
[5,6,1,7,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)=>[3,2,1,1]
[5,6,2,1,3,4,7]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)=>[4,2,1]
[5,6,2,1,3,7,4]=>([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)=>[3,3,1]
[5,6,2,1,4,3,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[5,6,2,1,4,7,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)=>[3,2,2]
[5,6,2,1,7,3,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>[3,3,1]
[5,6,2,1,7,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,6)],7)=>[3,2,2]
[5,6,2,3,1,4,7]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[5,6,2,3,1,7,4]=>([(0,5),(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[5,6,2,3,4,1,7]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[5,6,2,3,4,7,1]=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[5,6,2,3,7,1,4]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[5,6,2,3,7,4,1]=>([(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[5,6,2,4,1,3,7]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[5,6,2,4,1,7,3]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,2]
[5,6,2,4,3,1,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[5,6,2,4,3,7,1]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[5,6,2,4,7,1,3]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,2]
[5,6,2,4,7,3,1]=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>[3,2,1,1]
[5,6,2,7,1,3,4]=>([(0,5),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>[3,3,1]
[5,6,2,7,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(3,6)],7)=>[3,2,2]
[5,6,2,7,3,1,4]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>[3,3,1]
[5,6,2,7,3,4,1]=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>[3,3,1]
[5,6,2,7,4,1,3]=>([(0,5),(1,4),(2,3),(2,5),(2,6),(4,6)],7)=>[3,2,2]
[5,6,2,7,4,3,1]=>([(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>[3,2,1,1]
[5,6,3,1,2,4,7]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[5,6,3,1,2,7,4]=>([(0,5),(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[5,6,3,1,4,2,7]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[5,6,3,1,4,7,2]=>([(0,5),(1,4),(2,3),(2,5),(4,6),(5,6)],7)=>[3,2,2]
[5,6,3,1,7,2,4]=>([(0,5),(0,6),(1,3),(2,4),(2,6),(3,6),(4,5)],7)=>[3,3,1]
[5,6,3,1,7,4,2]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,6)],7)=>[3,2,2]
[5,6,3,2,1,4,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)=>[3,2,1,1]
[5,6,3,2,1,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
[5,6,3,2,4,1,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[5,6,3,2,4,7,1]=>([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[5,6,3,2,7,1,4]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
[5,6,3,2,7,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
[5,6,3,4,1,2,7]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>[3,2,2]
[5,6,3,4,1,7,2]=>([(0,5),(1,4),(2,3),(2,6),(4,6),(5,6)],7)=>[3,2,2]
[5,6,3,4,2,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[5,6,3,4,2,7,1]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[5,6,3,4,7,1,2]=>([(0,5),(1,4),(2,3),(4,6),(5,6)],7)=>[3,2,2]
[5,6,3,4,7,2,1]=>([(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[5,6,3,7,1,2,4]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>[3,3,1]
[5,6,3,7,1,4,2]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>[3,2,2]
[5,6,3,7,2,1,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)=>[3,2,1,1]
[5,6,3,7,2,4,1]=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
[5,6,3,7,4,1,2]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7)=>[3,2,2]
[5,6,3,7,4,2,1]=>([(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[5,6,4,1,2,3,7]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[5,6,4,1,2,7,3]=>([(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[5,6,4,1,3,2,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[5,6,4,1,3,7,2]=>([(0,6),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>[3,2,1,1]
[5,6,4,1,7,2,3]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>[3,3,1]
[5,6,4,1,7,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>[3,2,1,1]
[5,6,4,2,1,3,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[5,6,4,2,1,7,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
[5,6,4,2,3,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[5,6,4,2,3,7,1]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[5,6,4,2,7,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
[5,6,4,2,7,3,1]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[5,6,4,3,1,2,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[5,6,4,3,1,7,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[5,6,4,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[5,6,4,3,2,7,1]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[5,6,4,3,7,1,2]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[5,6,4,3,7,2,1]=>([(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[5,6,4,7,1,2,3]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7)=>[3,3,1]
[5,6,4,7,1,3,2]=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7)=>[3,2,1,1]
[5,6,4,7,2,1,3]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>[3,2,1,1]
[5,6,4,7,2,3,1]=>([(1,6),(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[5,6,4,7,3,1,2]=>([(1,6),(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[5,6,4,7,3,2,1]=>([(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[5,6,7,1,2,3,4]=>([(0,5),(1,6),(4,3),(5,4),(6,2)],7)=>[4,3]
[5,6,7,1,2,4,3]=>([(0,6),(1,5),(5,4),(6,2),(6,3)],7)=>[3,3,1]
[5,6,7,1,3,2,4]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7)=>[3,3,1]
[5,6,7,1,3,4,2]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7)=>[3,3,1]
[5,6,7,1,4,2,3]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7)=>[3,3,1]
[5,6,7,1,4,3,2]=>([(0,6),(1,3),(1,4),(1,5),(6,2)],7)=>[3,2,1,1]
[5,6,7,2,1,3,4]=>([(0,6),(1,6),(2,3),(3,5),(6,4)],7)=>[3,3,1]
[5,6,7,2,1,4,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)=>[3,2,2]
[5,6,7,2,3,1,4]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7)=>[3,3,1]
[5,6,7,2,3,4,1]=>([(1,6),(2,5),(5,3),(6,4)],7)=>[3,3,1]
[5,6,7,2,4,1,3]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7)=>[3,2,2]
[5,6,7,2,4,3,1]=>([(1,6),(2,4),(2,5),(6,3)],7)=>[3,2,1,1]
[5,6,7,3,1,2,4]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7)=>[3,3,1]
[5,6,7,3,1,4,2]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7)=>[3,2,2]
[5,6,7,3,2,1,4]=>([(0,6),(1,6),(2,6),(3,4),(4,5)],7)=>[3,2,1,1]
[5,6,7,3,2,4,1]=>([(1,6),(2,6),(3,4),(4,5)],7)=>[3,2,1,1]
[5,6,7,3,4,1,2]=>([(0,5),(1,4),(2,6),(6,3)],7)=>[3,2,2]
[5,6,7,3,4,2,1]=>([(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[5,6,7,4,1,2,3]=>([(1,6),(2,5),(5,3),(6,4)],7)=>[3,3,1]
[5,6,7,4,1,3,2]=>([(1,6),(2,4),(2,5),(6,3)],7)=>[3,2,1,1]
[5,6,7,4,2,1,3]=>([(1,6),(2,6),(3,4),(4,5)],7)=>[3,2,1,1]
[5,6,7,4,2,3,1]=>([(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[5,6,7,4,3,1,2]=>([(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[5,6,7,4,3,2,1]=>([(4,5),(5,6)],7)=>[3,1,1,1,1]
[5,7,1,2,3,4,6]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>[5,2]
[5,7,1,2,3,6,4]=>([(0,5),(1,3),(1,6),(4,2),(4,6),(5,4)],7)=>[4,2,1]
[5,7,1,2,4,3,6]=>([(0,5),(1,4),(1,6),(2,6),(3,6),(5,2),(5,3)],7)=>[4,2,1]
[5,7,1,2,4,6,3]=>([(0,5),(1,4),(1,6),(3,6),(5,2),(5,3)],7)=>[4,2,1]
[5,7,1,2,6,3,4]=>([(0,5),(1,3),(1,6),(4,2),(5,4),(5,6)],7)=>[4,2,1]
[5,7,1,2,6,4,3]=>([(0,5),(1,4),(1,6),(5,2),(5,3),(5,6)],7)=>[3,2,1,1]
[5,7,1,3,2,4,6]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(5,6)],7)=>[4,2,1]
[5,7,1,3,2,6,4]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)=>[3,2,2]
[5,7,1,3,4,2,6]=>([(0,4),(0,6),(1,3),(1,5),(2,6),(3,6),(5,2)],7)=>[4,2,1]
[5,7,1,3,4,6,2]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>[4,2,1]
[5,7,1,3,6,2,4]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7)=>[3,2,2]
[5,7,1,3,6,4,2]=>([(0,4),(0,6),(1,3),(1,5),(5,2),(5,6)],7)=>[3,2,1,1]
[5,7,1,4,2,3,6]=>([(0,4),(0,6),(1,3),(1,5),(2,6),(3,6),(5,2)],7)=>[4,2,1]
[5,7,1,4,2,6,3]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>[3,2,2]
[5,7,1,4,3,2,6]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7)=>[3,2,1,1]
[5,7,1,4,3,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,6)],7)=>[3,2,1,1]
[5,7,1,4,6,2,3]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>[3,2,2]
[5,7,1,4,6,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,6)],7)=>[3,2,1,1]
[5,7,1,6,2,3,4]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>[4,2,1]
[5,7,1,6,2,4,3]=>([(0,4),(0,6),(1,5),(1,6),(5,2),(5,3)],7)=>[3,2,1,1]
[5,7,1,6,3,2,4]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(3,5)],7)=>[3,2,1,1]
[5,7,1,6,3,4,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(5,2)],7)=>[3,2,1,1]
[5,7,1,6,4,2,3]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(5,2)],7)=>[3,2,1,1]
[5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>[2,2,1,1,1]
[5,7,2,1,3,4,6]=>([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)=>[4,2,1]
[5,7,2,1,3,6,4]=>([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>[3,2,2]
[5,7,2,1,4,3,6]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>[3,2,2]
[5,7,2,1,4,6,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)=>[3,2,2]
[5,7,2,1,6,3,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)=>[3,2,2]
[5,7,2,1,6,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>[2,2,2,1]
[5,7,2,3,1,4,6]=>([(0,6),(1,4),(2,3),(2,5),(4,6),(6,5)],7)=>[4,2,1]
[5,7,2,3,1,6,4]=>([(0,5),(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>[3,2,2]
[5,7,2,3,4,1,6]=>([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>[4,2,1]
[5,7,2,3,4,6,1]=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>[4,2,1]
[5,7,2,3,6,1,4]=>([(0,6),(1,4),(2,3),(2,5),(4,5),(4,6)],7)=>[3,2,2]
[5,7,2,3,6,4,1]=>([(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>[3,2,1,1]
[5,7,2,4,1,3,6]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,2]
[5,7,2,4,1,6,3]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>[3,2,2]
[5,7,2,4,3,1,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[5,7,2,4,3,6,1]=>([(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[5,7,2,4,6,1,3]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>[3,2,2]
[5,7,2,4,6,3,1]=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7)=>[3,2,1,1]
[5,7,2,6,1,3,4]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(6,3)],7)=>[3,2,2]
[5,7,2,6,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>[2,2,2,1]
[5,7,2,6,3,1,4]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>[3,2,1,1]
[5,7,2,6,3,4,1]=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>[3,2,1,1]
[5,7,2,6,4,1,3]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[5,7,2,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>[2,2,1,1,1]
[5,7,3,1,2,4,6]=>([(0,6),(1,4),(2,3),(2,5),(4,6),(6,5)],7)=>[4,2,1]
[5,7,3,1,2,6,4]=>([(0,5),(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>[3,2,2]
[5,7,3,1,4,2,6]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,2]
[5,7,3,1,4,6,2]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(5,6)],7)=>[3,2,2]
[5,7,3,1,6,2,4]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>[3,2,2]
[5,7,3,1,6,4,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[5,7,3,2,1,4,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)=>[3,2,1,1]
[5,7,3,2,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[5,7,3,2,4,1,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[5,7,3,2,4,6,1]=>([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[5,7,3,2,6,1,4]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[5,7,3,2,6,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[5,7,3,4,1,2,6]=>([(0,5),(1,4),(2,3),(2,6),(4,6),(5,6)],7)=>[3,2,2]
[5,7,3,4,1,6,2]=>([(0,5),(1,4),(1,6),(2,3),(2,6),(5,6)],7)=>[3,2,2]
[5,7,3,4,2,1,6]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[5,7,3,4,2,6,1]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[5,7,3,4,6,1,2]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7)=>[3,2,2]
[5,7,3,4,6,2,1]=>([(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[5,7,3,6,1,2,4]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>[3,2,2]
[5,7,3,6,1,4,2]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>[2,2,2,1]
[5,7,3,6,2,1,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>[2,2,2,1]
[5,7,3,6,2,4,1]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[5,7,3,6,4,1,2]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7)=>[2,2,2,1]
[5,7,3,6,4,2,1]=>([(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,1,1,1]
[5,7,4,1,2,3,6]=>([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>[4,2,1]
[5,7,4,1,2,6,3]=>([(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>[3,2,2]
[5,7,4,1,3,2,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[5,7,4,1,3,6,2]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(5,6)],7)=>[3,2,1,1]
[5,7,4,1,6,2,3]=>([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>[3,2,2]
[5,7,4,1,6,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>[2,2,2,1]
[5,7,4,2,1,3,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[5,7,4,2,1,6,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[5,7,4,2,3,1,6]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[5,7,4,2,3,6,1]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[5,7,4,2,6,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[5,7,4,2,6,3,1]=>([(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[5,7,4,3,1,2,6]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[5,7,4,3,1,6,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[5,7,4,3,2,1,6]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[5,7,4,3,2,6,1]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[5,7,4,3,6,1,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>[2,2,2,1]
[5,7,4,3,6,2,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[5,7,4,6,1,2,3]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7)=>[3,2,2]
[5,7,4,6,1,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>[2,2,2,1]
[5,7,4,6,2,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[5,7,4,6,2,3,1]=>([(1,6),(2,5),(3,4),(3,6)],7)=>[2,2,2,1]
[5,7,4,6,3,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>[2,2,2,1]
[5,7,4,6,3,2,1]=>([(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[5,7,6,1,2,3,4]=>([(0,6),(1,3),(1,4),(5,2),(6,5)],7)=>[4,2,1]
[5,7,6,1,2,4,3]=>([(0,6),(1,4),(1,5),(6,2),(6,3)],7)=>[3,2,1,1]
[5,7,6,1,3,2,4]=>([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7)=>[3,2,1,1]
[5,7,6,1,3,4,2]=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
[5,7,6,1,4,2,3]=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
[5,7,6,1,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>[2,2,1,1,1]
[5,7,6,2,1,3,4]=>([(0,6),(1,6),(2,3),(2,4),(6,5)],7)=>[3,2,1,1]
[5,7,6,2,1,4,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>[2,2,2,1]
[5,7,6,2,3,1,4]=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7)=>[3,2,1,1]
[5,7,6,2,3,4,1]=>([(1,6),(2,4),(2,5),(6,3)],7)=>[3,2,1,1]
[5,7,6,2,4,1,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>[2,2,2,1]
[5,7,6,2,4,3,1]=>([(1,5),(1,6),(2,3),(2,4)],7)=>[2,2,1,1,1]
[5,7,6,3,1,2,4]=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7)=>[3,2,1,1]
[5,7,6,3,1,4,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>[2,2,2,1]
[5,7,6,3,2,1,4]=>([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>[2,2,1,1,1]
[5,7,6,3,2,4,1]=>([(1,6),(2,6),(3,4),(3,5)],7)=>[2,2,1,1,1]
[5,7,6,3,4,1,2]=>([(0,6),(1,5),(2,3),(2,4)],7)=>[2,2,2,1]
[5,7,6,3,4,2,1]=>([(2,6),(3,4),(3,5)],7)=>[2,2,1,1,1]
[5,7,6,4,1,2,3]=>([(1,6),(2,4),(2,5),(6,3)],7)=>[3,2,1,1]
[5,7,6,4,1,3,2]=>([(1,5),(1,6),(2,3),(2,4)],7)=>[2,2,1,1,1]
[5,7,6,4,2,1,3]=>([(1,6),(2,6),(3,4),(3,5)],7)=>[2,2,1,1,1]
[5,7,6,4,2,3,1]=>([(2,6),(3,4),(3,5)],7)=>[2,2,1,1,1]
[5,7,6,4,3,1,2]=>([(2,6),(3,4),(3,5)],7)=>[2,2,1,1,1]
[5,7,6,4,3,2,1]=>([(4,5),(4,6)],7)=>[2,1,1,1,1,1]
[6,1,2,3,4,5,7]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>[6,1]
[6,1,2,3,4,7,5]=>([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7)=>[5,2]
[6,1,2,3,5,4,7]=>([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>[5,1,1]
[6,1,2,3,5,7,4]=>([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)=>[5,1,1]
[6,1,2,3,7,4,5]=>([(0,6),(1,4),(3,2),(4,5),(5,3),(5,6)],7)=>[5,2]
[6,1,2,3,7,5,4]=>([(0,6),(1,4),(4,5),(5,2),(5,3),(5,6)],7)=>[4,2,1]
[6,1,2,4,3,5,7]=>([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(5,6)],7)=>[5,1,1]
[6,1,2,4,3,7,5]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>[4,2,1]
[6,1,2,4,5,3,7]=>([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>[5,1,1]
[6,1,2,4,5,7,3]=>([(0,6),(1,5),(3,6),(4,3),(5,2),(5,4)],7)=>[5,1,1]
[6,1,2,4,7,3,5]=>([(0,6),(1,4),(2,5),(3,5),(3,6),(4,2),(4,3)],7)=>[4,2,1]
[6,1,2,4,7,5,3]=>([(0,6),(1,5),(4,3),(4,6),(5,2),(5,4)],7)=>[4,2,1]
[6,1,2,5,3,4,7]=>([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>[5,1,1]
[6,1,2,5,3,7,4]=>([(0,6),(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)=>[4,2,1]
[6,1,2,5,4,3,7]=>([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
[6,1,2,5,4,7,3]=>([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
[6,1,2,5,7,3,4]=>([(0,6),(1,5),(3,6),(4,2),(5,3),(5,4)],7)=>[4,2,1]
[6,1,2,5,7,4,3]=>([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
[6,1,2,7,3,4,5]=>([(0,6),(1,5),(3,4),(4,2),(5,3),(5,6)],7)=>[5,2]
[6,1,2,7,3,5,4]=>([(0,6),(1,4),(4,5),(4,6),(5,2),(5,3)],7)=>[4,2,1]
[6,1,2,7,4,3,5]=>([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(4,6)],7)=>[4,2,1]
[6,1,2,7,4,5,3]=>([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7)=>[4,2,1]
[6,1,2,7,5,3,4]=>([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7)=>[4,2,1]
[6,1,2,7,5,4,3]=>([(0,6),(1,5),(5,2),(5,3),(5,4),(5,6)],7)=>[3,2,1,1]
[6,1,3,2,4,5,7]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)=>[5,1,1]
[6,1,3,2,4,7,5]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(6,2),(6,5)],7)=>[4,2,1]
[6,1,3,2,5,4,7]=>([(0,6),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[6,1,3,2,5,7,4]=>([(0,2),(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[4,2,1]
[6,1,3,2,7,4,5]=>([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>[4,2,1]
[6,1,3,2,7,5,4]=>([(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[6,1,3,4,2,5,7]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7)=>[5,1,1]
[6,1,3,4,2,7,5]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>[4,2,1]
[6,1,3,4,5,2,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>[5,1,1]
[6,1,3,4,5,7,2]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>[5,1,1]
[6,1,3,4,7,2,5]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(4,2)],7)=>[4,2,1]
[6,1,3,4,7,5,2]=>([(0,6),(1,3),(1,4),(4,5),(5,2),(5,6)],7)=>[4,2,1]
[6,1,3,5,2,4,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>[4,2,1]
[6,1,3,5,2,7,4]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)=>[4,2,1]
[6,1,3,5,4,2,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>[4,1,1,1]
[6,1,3,5,4,7,2]=>([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>[4,1,1,1]
[6,1,3,5,7,2,4]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>[4,2,1]
[6,1,3,5,7,4,2]=>([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)=>[4,1,1,1]
[6,1,3,7,2,4,5]=>([(0,5),(1,3),(1,4),(3,6),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[6,1,3,7,2,5,4]=>([(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[6,1,3,7,4,2,5]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(4,6)],7)=>[4,2,1]
[6,1,3,7,4,5,2]=>([(0,6),(1,3),(1,5),(4,2),(5,4),(5,6)],7)=>[4,2,1]
[6,1,3,7,5,2,4]=>([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(4,6)],7)=>[3,2,2]
[6,1,3,7,5,4,2]=>([(0,6),(1,4),(1,5),(5,2),(5,3),(5,6)],7)=>[3,2,1,1]
[6,1,4,2,3,5,7]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7)=>[5,1,1]
[6,1,4,2,3,7,5]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>[4,2,1]
[6,1,4,2,5,3,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>[4,2,1]
[6,1,4,2,5,7,3]=>([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(5,6)],7)=>[4,2,1]
[6,1,4,2,7,3,5]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>[4,2,1]
[6,1,4,2,7,5,3]=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>[3,2,2]
[6,1,4,3,2,5,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[6,1,4,3,2,7,5]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[6,1,4,3,5,2,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
[6,1,4,3,5,7,2]=>([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
[6,1,4,3,7,2,5]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[6,1,4,3,7,5,2]=>([(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[6,1,4,5,2,3,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>[4,2,1]
[6,1,4,5,2,7,3]=>([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>[4,2,1]
[6,1,4,5,3,2,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,1,1,1]
[6,1,4,5,3,7,2]=>([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>[4,1,1,1]
[6,1,4,5,7,2,3]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>[4,2,1]
[6,1,4,5,7,3,2]=>([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)=>[4,1,1,1]
[6,1,4,7,2,3,5]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2)],7)=>[4,2,1]
[6,1,4,7,2,5,3]=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7)=>[3,2,2]
[6,1,4,7,3,2,5]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[6,1,4,7,3,5,2]=>([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(4,6)],7)=>[3,2,1,1]
[6,1,4,7,5,2,3]=>([(0,6),(1,4),(1,5),(4,3),(5,2),(5,6)],7)=>[3,2,2]
[6,1,4,7,5,3,2]=>([(0,6),(1,3),(1,4),(1,5),(5,2),(5,6)],7)=>[3,2,1,1]
[6,1,5,2,3,4,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>[5,1,1]
[6,1,5,2,3,7,4]=>([(0,6),(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)=>[4,2,1]
[6,1,5,2,4,3,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>[4,1,1,1]
[6,1,5,2,4,7,3]=>([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>[4,1,1,1]
[6,1,5,2,7,3,4]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)=>[4,2,1]
[6,1,5,2,7,4,3]=>([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>[3,2,1,1]
[6,1,5,3,2,4,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
[6,1,5,3,2,7,4]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[6,1,5,3,4,2,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,1,1,1]
[6,1,5,3,4,7,2]=>([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>[4,1,1,1]
[6,1,5,3,7,2,4]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>[3,2,1,1]
[6,1,5,3,7,4,2]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
[6,1,5,4,2,3,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,1,1,1]
[6,1,5,4,2,7,3]=>([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
[6,1,5,4,3,2,7]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[6,1,5,4,3,7,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[6,1,5,4,7,2,3]=>([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>[3,2,1,1]
[6,1,5,4,7,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[6,1,5,7,2,3,4]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>[4,2,1]
[6,1,5,7,2,4,3]=>([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3)],7)=>[3,2,1,1]
[6,1,5,7,3,2,4]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5)],7)=>[3,2,1,1]
[6,1,5,7,3,4,2]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>[3,2,1,1]
[6,1,5,7,4,2,3]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>[3,2,1,1]
[6,1,5,7,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>[3,1,1,1,1]
[6,1,7,2,3,4,5]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>[5,2]
[6,1,7,2,3,5,4]=>([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)=>[4,2,1]
[6,1,7,2,4,3,5]=>([(0,6),(1,4),(1,6),(2,5),(3,5),(4,2),(4,3)],7)=>[4,2,1]
[6,1,7,2,4,5,3]=>([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7)=>[4,2,1]
[6,1,7,2,5,3,4]=>([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7)=>[4,2,1]
[6,1,7,2,5,4,3]=>([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)=>[3,2,1,1]
[6,1,7,3,2,4,5]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>[4,2,1]
[6,1,7,3,2,5,4]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>[3,2,2]
[6,1,7,3,4,2,5]=>([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(4,2)],7)=>[4,2,1]
[6,1,7,3,4,5,2]=>([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7)=>[4,2,1]
[6,1,7,3,5,2,4]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>[3,2,2]
[6,1,7,3,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>[3,2,1,1]
[6,1,7,4,2,3,5]=>([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(4,2)],7)=>[4,2,1]
[6,1,7,4,2,5,3]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>[3,2,2]
[6,1,7,4,3,2,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>[3,2,1,1]
[6,1,7,4,3,5,2]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>[3,2,1,1]
[6,1,7,4,5,2,3]=>([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)=>[3,2,2]
[6,1,7,4,5,3,2]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>[3,2,1,1]
[6,1,7,5,2,3,4]=>([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7)=>[4,2,1]
[6,1,7,5,2,4,3]=>([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>[3,2,1,1]
[6,1,7,5,3,2,4]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>[3,2,1,1]
[6,1,7,5,3,4,2]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>[3,2,1,1]
[6,1,7,5,4,2,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>[3,2,1,1]
[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>[2,2,1,1,1]
[6,2,1,3,4,5,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)=>[5,1,1]
[6,2,1,3,4,7,5]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)=>[4,2,1]
[6,2,1,3,5,4,7]=>([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>[4,2,1]
[6,2,1,3,5,7,4]=>([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)=>[4,2,1]
[6,2,1,3,7,4,5]=>([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)=>[4,2,1]
[6,2,1,3,7,5,4]=>([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)=>[3,2,2]
[6,2,1,4,3,5,7]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>[4,2,1]
[6,2,1,4,3,7,5]=>([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[6,2,1,4,5,3,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>[4,2,1]
[6,2,1,4,5,7,3]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)=>[4,2,1]
[6,2,1,4,7,3,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>[3,3,1]
[6,2,1,4,7,5,3]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)=>[3,2,2]
[6,2,1,5,3,4,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>[4,2,1]
[6,2,1,5,3,7,4]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>[3,3,1]
[6,2,1,5,4,3,7]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[6,2,1,5,4,7,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,2,1,5,7,3,4]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>[3,3,1]
[6,2,1,5,7,4,3]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
[6,2,1,7,3,4,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)=>[4,2,1]
[6,2,1,7,3,5,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)=>[3,2,2]
[6,2,1,7,4,3,5]=>([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>[3,2,2]
[6,2,1,7,4,5,3]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>[3,2,2]
[6,2,1,7,5,3,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>[3,2,2]
[6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[6,2,3,1,4,5,7]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>[5,1,1]
[6,2,3,1,4,7,5]=>([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>[4,2,1]
[6,2,3,1,5,4,7]=>([(0,6),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[6,2,3,1,5,7,4]=>([(0,4),(1,5),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>[4,2,1]
[6,2,3,1,7,4,5]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>[4,2,1]
[6,2,3,1,7,5,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[6,2,3,4,1,5,7]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)=>[5,1,1]
[6,2,3,4,1,7,5]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>[4,2,1]
[6,2,3,4,5,1,7]=>([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>[5,1,1]
[6,2,3,4,5,7,1]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>[5,1,1]
[6,2,3,4,7,1,5]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(4,6)],7)=>[4,2,1]
[6,2,3,4,7,5,1]=>([(1,3),(2,6),(3,5),(5,4),(5,6)],7)=>[4,2,1]
[6,2,3,5,1,4,7]=>([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[6,2,3,5,1,7,4]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(4,6)],7)=>[4,2,1]
[6,2,3,5,4,1,7]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[6,2,3,5,4,7,1]=>([(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[6,2,3,5,7,1,4]=>([(0,6),(1,5),(2,3),(3,4),(3,6),(4,5)],7)=>[4,2,1]
[6,2,3,5,7,4,1]=>([(1,3),(2,6),(3,4),(3,5),(5,6)],7)=>[4,1,1,1]
[6,2,3,7,1,4,5]=>([(0,6),(1,5),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[6,2,3,7,1,5,4]=>([(0,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[6,2,3,7,4,1,5]=>([(0,6),(1,5),(2,3),(3,4),(3,6),(4,5)],7)=>[4,2,1]
[6,2,3,7,4,5,1]=>([(1,3),(2,6),(3,5),(3,6),(5,4)],7)=>[4,2,1]
[6,2,3,7,5,1,4]=>([(0,6),(1,5),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[6,2,3,7,5,4,1]=>([(1,3),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[6,2,4,1,3,5,7]=>([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,2,1]
[6,2,4,1,3,7,5]=>([(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[6,2,4,1,5,3,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[6,2,4,1,5,7,3]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(6,5)],7)=>[4,2,1]
[6,2,4,1,7,3,5]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5)],7)=>[3,3,1]
[6,2,4,1,7,5,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>[3,2,2]
[6,2,4,3,1,5,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[6,2,4,3,1,7,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[6,2,4,3,5,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
[6,2,4,3,5,7,1]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[6,2,4,3,7,1,5]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[6,2,4,3,7,5,1]=>([(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[6,2,4,5,1,3,7]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>[4,2,1]
[6,2,4,5,1,7,3]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>[4,2,1]
[6,2,4,5,3,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[6,2,4,5,3,7,1]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[6,2,4,5,7,1,3]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>[4,2,1]
[6,2,4,5,7,3,1]=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>[4,1,1,1]
[6,2,4,7,1,3,5]=>([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[6,2,4,7,1,5,3]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>[3,2,2]
[6,2,4,7,3,1,5]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[6,2,4,7,3,5,1]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[6,2,4,7,5,1,3]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6)],7)=>[3,2,2]
[6,2,4,7,5,3,1]=>([(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>[3,2,1,1]
[6,2,5,1,3,4,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>[4,2,1]
[6,2,5,1,3,7,4]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>[3,3,1]
[6,2,5,1,4,3,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[6,2,5,1,4,7,3]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>[3,2,1,1]
[6,2,5,1,7,3,4]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>[3,3,1]
[6,2,5,1,7,4,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>[3,2,1,1]
[6,2,5,3,1,4,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>[4,1,1,1]
[6,2,5,3,1,7,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[6,2,5,3,4,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[6,2,5,3,4,7,1]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[6,2,5,3,7,1,4]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[6,2,5,3,7,4,1]=>([(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[6,2,5,4,1,3,7]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[6,2,5,4,1,7,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
[6,2,5,4,3,1,7]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[6,2,5,4,3,7,1]=>([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[6,2,5,4,7,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
[6,2,5,4,7,3,1]=>([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[6,2,5,7,1,3,4]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4)],7)=>[3,3,1]
[6,2,5,7,1,4,3]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6)],7)=>[3,2,1,1]
[6,2,5,7,3,1,4]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>[3,2,1,1]
[6,2,5,7,3,4,1]=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>[3,2,1,1]
[6,2,5,7,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6)],7)=>[3,2,1,1]
[6,2,5,7,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>[3,1,1,1,1]
[6,2,7,1,3,4,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)=>[4,2,1]
[6,2,7,1,3,5,4]=>([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)=>[3,2,2]
[6,2,7,1,4,3,5]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>[3,2,2]
[6,2,7,1,4,5,3]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[6,2,7,1,5,3,4]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[6,2,7,3,1,4,5]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(6,4)],7)=>[4,2,1]
[6,2,7,3,1,5,4]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>[3,2,2]
[6,2,7,3,4,1,5]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>[4,2,1]
[6,2,7,3,4,5,1]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>[4,2,1]
[6,2,7,3,5,1,4]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6)],7)=>[3,2,2]
[6,2,7,3,5,4,1]=>([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>[3,2,1,1]
[6,2,7,4,1,3,5]=>([(0,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>[3,2,2]
[6,2,7,4,1,5,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>[3,2,2]
[6,2,7,4,3,1,5]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
[6,2,7,4,3,5,1]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
[6,2,7,4,5,1,3]=>([(0,6),(1,5),(2,3),(2,5),(2,6),(3,4)],7)=>[3,2,2]
[6,2,7,4,5,3,1]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,1,1]
[6,2,7,5,1,3,4]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
[6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[6,2,7,5,3,1,4]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6)],7)=>[3,2,1,1]
[6,2,7,5,3,4,1]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,1,1]
[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
[6,3,1,2,4,5,7]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>[5,1,1]
[6,3,1,2,4,7,5]=>([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>[4,2,1]
[6,3,1,2,5,4,7]=>([(0,6),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[6,3,1,2,5,7,4]=>([(0,4),(1,5),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>[4,2,1]
[6,3,1,2,7,4,5]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>[4,2,1]
[6,3,1,2,7,5,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[6,3,1,4,2,5,7]=>([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,2,1]
[6,3,1,4,2,7,5]=>([(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[6,3,1,4,5,2,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>[4,2,1]
[6,3,1,4,5,7,2]=>([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)=>[4,2,1]
[6,3,1,4,7,2,5]=>([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[6,3,1,4,7,5,2]=>([(0,6),(1,5),(2,4),(2,6),(6,3),(6,5)],7)=>[3,2,2]
[6,3,1,5,2,4,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[6,3,1,5,2,7,4]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[6,3,1,5,4,2,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[6,3,1,5,4,7,2]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,3,1,5,7,2,4]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>[3,3,1]
[6,3,1,5,7,4,2]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(5,6)],7)=>[3,2,1,1]
[6,3,1,7,2,4,5]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>[4,2,1]
[6,3,1,7,2,5,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>[3,2,2]
[6,3,1,7,4,2,5]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>[3,2,2]
[6,3,1,7,4,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4)],7)=>[3,2,2]
[6,3,1,7,5,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5)],7)=>[3,2,2]
[6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[6,3,2,1,4,5,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)=>[4,1,1,1]
[6,3,2,1,4,7,5]=>([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>[3,2,1,1]
[6,3,2,1,5,4,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,3,2,1,5,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>[3,2,1,1]
[6,3,2,1,7,4,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>[3,2,1,1]
[6,3,2,1,7,5,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[6,3,2,4,1,5,7]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[6,3,2,4,1,7,5]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[6,3,2,4,5,1,7]=>([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>[4,1,1,1]
[6,3,2,4,5,7,1]=>([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>[4,1,1,1]
[6,3,2,4,7,1,5]=>([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>[3,2,1,1]
[6,3,2,4,7,5,1]=>([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>[3,2,1,1]
[6,3,2,5,1,4,7]=>([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,3,2,5,1,7,4]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[6,3,2,5,4,1,7]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,3,2,5,4,7,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,3,2,5,7,1,4]=>([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[6,3,2,5,7,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
[6,3,2,7,1,4,5]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[6,3,2,7,1,5,4]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[6,3,2,7,4,1,5]=>([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[6,3,2,7,4,5,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>[3,2,1,1]
[6,3,2,7,5,1,4]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[6,3,2,7,5,4,1]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[6,3,4,1,2,5,7]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>[4,2,1]
[6,3,4,1,2,7,5]=>([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[6,3,4,1,5,2,7]=>([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[6,3,4,1,5,7,2]=>([(0,5),(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>[4,2,1]
[6,3,4,1,7,2,5]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7)=>[3,3,1]
[6,3,4,1,7,5,2]=>([(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>[3,2,2]
[6,3,4,2,1,5,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[6,3,4,2,1,7,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[6,3,4,2,5,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
[6,3,4,2,5,7,1]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[6,3,4,2,7,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[6,3,4,2,7,5,1]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[6,3,4,5,1,2,7]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[6,3,4,5,1,7,2]=>([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>[4,2,1]
[6,3,4,5,2,1,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
[6,3,4,5,2,7,1]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
[6,3,4,5,7,1,2]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7)=>[4,2,1]
[6,3,4,5,7,2,1]=>([(2,6),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
[6,3,4,7,1,2,5]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[6,3,4,7,1,5,2]=>([(0,6),(1,4),(2,3),(2,5),(4,5),(4,6)],7)=>[3,2,2]
[6,3,4,7,2,1,5]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[6,3,4,7,2,5,1]=>([(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[6,3,4,7,5,1,2]=>([(0,6),(1,3),(2,4),(4,5),(4,6)],7)=>[3,2,2]
[6,3,4,7,5,2,1]=>([(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[6,3,5,1,2,4,7]=>([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[6,3,5,1,2,7,4]=>([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[6,3,5,1,4,2,7]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[6,3,5,1,4,7,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,3,5,1,7,2,4]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>[3,3,1]
[6,3,5,1,7,4,2]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>[3,2,1,1]
[6,3,5,2,1,4,7]=>([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,3,5,2,1,7,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[6,3,5,2,4,1,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,3,5,2,4,7,1]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,3,5,2,7,1,4]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[6,3,5,2,7,4,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[6,3,5,4,1,2,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[6,3,5,4,1,7,2]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,3,5,4,2,1,7]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[6,3,5,4,2,7,1]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[6,3,5,4,7,1,2]=>([(0,6),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,3,5,4,7,2,1]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[6,3,5,7,1,2,4]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>[3,3,1]
[6,3,5,7,1,4,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>[3,2,1,1]
[6,3,5,7,2,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[6,3,5,7,2,4,1]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[6,3,5,7,4,1,2]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7)=>[3,2,1,1]
[6,3,5,7,4,2,1]=>([(2,6),(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
[6,3,7,1,2,4,5]=>([(0,5),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>[4,2,1]
[6,3,7,1,2,5,4]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)=>[3,2,2]
[6,3,7,1,4,2,5]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7)=>[3,2,2]
[6,3,7,1,4,5,2]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(6,3)],7)=>[3,2,2]
[6,3,7,1,5,2,4]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7)=>[3,2,2]
[6,3,7,1,5,4,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>[2,2,2,1]
[6,3,7,2,1,4,5]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[6,3,7,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[6,3,7,2,4,1,5]=>([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
[6,3,7,2,4,5,1]=>([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[6,3,7,2,5,1,4]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[6,3,7,2,5,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[6,3,7,4,1,2,5]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,2]
[6,3,7,4,1,5,2]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>[3,2,2]
[6,3,7,4,2,1,5]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[6,3,7,4,2,5,1]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[6,3,7,4,5,1,2]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7)=>[3,2,2]
[6,3,7,4,5,2,1]=>([(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[6,3,7,5,1,2,4]=>([(0,5),(1,4),(2,3),(2,5),(2,6),(4,6)],7)=>[3,2,2]
[6,3,7,5,1,4,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[6,3,7,5,2,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[6,3,7,5,2,4,1]=>([(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[6,3,7,5,4,1,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>[2,2,2,1]
[6,3,7,5,4,2,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
[6,4,1,2,3,5,7]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)=>[5,1,1]
[6,4,1,2,3,7,5]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>[4,2,1]
[6,4,1,2,5,3,7]=>([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[6,4,1,2,5,7,3]=>([(0,6),(1,5),(2,3),(3,4),(3,6),(6,5)],7)=>[4,2,1]
[6,4,1,2,7,3,5]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>[4,2,1]
[6,4,1,2,7,5,3]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,2]
[6,4,1,3,2,5,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[6,4,1,3,2,7,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[6,4,1,3,5,2,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>[4,1,1,1]
[6,4,1,3,5,7,2]=>([(0,6),(1,5),(2,3),(2,4),(4,6),(6,5)],7)=>[4,1,1,1]
[6,4,1,3,7,2,5]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[6,4,1,3,7,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>[3,2,1,1]
[6,4,1,5,2,3,7]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>[4,2,1]
[6,4,1,5,2,7,3]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>[3,3,1]
[6,4,1,5,3,2,7]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[6,4,1,5,3,7,2]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,4,1,5,7,2,3]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(5,6)],7)=>[3,3,1]
[6,4,1,5,7,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(5,6)],7)=>[3,2,1,1]
[6,4,1,7,2,3,5]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(4,5)],7)=>[4,2,1]
[6,4,1,7,2,5,3]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>[3,2,2]
[6,4,1,7,3,2,5]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
[6,4,1,7,3,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,1,1]
[6,4,1,7,5,2,3]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>[3,2,2]
[6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[6,4,2,1,3,5,7]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[6,4,2,1,3,7,5]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[6,4,2,1,5,3,7]=>([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,4,2,1,5,7,3]=>([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)=>[3,2,1,1]
[6,4,2,1,7,3,5]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[6,4,2,1,7,5,3]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[6,4,2,3,1,5,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[6,4,2,3,1,7,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[6,4,2,3,5,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
[6,4,2,3,5,7,1]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[6,4,2,3,7,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[6,4,2,3,7,5,1]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[6,4,2,5,1,3,7]=>([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,4,2,5,1,7,3]=>([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
[6,4,2,5,3,1,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,4,2,5,3,7,1]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,4,2,5,7,1,3]=>([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
[6,4,2,5,7,3,1]=>([(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
[6,4,2,7,1,3,5]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[6,4,2,7,1,5,3]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[6,4,2,7,3,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[6,4,2,7,3,5,1]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[6,4,2,7,5,1,3]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[6,4,2,7,5,3,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[6,4,3,1,2,5,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[6,4,3,1,2,7,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[6,4,3,1,5,2,7]=>([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,4,3,1,5,7,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>[3,2,1,1]
[6,4,3,1,7,2,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[6,4,3,1,7,5,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[6,4,3,2,1,5,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>[3,1,1,1,1]
[6,4,3,2,1,7,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[6,4,3,2,5,1,7]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]
[6,4,3,2,5,7,1]=>([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>[3,1,1,1,1]
[6,4,3,2,7,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[6,4,3,2,7,5,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[6,4,3,5,1,2,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[6,4,3,5,1,7,2]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[6,4,3,5,2,1,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]
[6,4,3,5,2,7,1]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]
[6,4,3,5,7,1,2]=>([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>[3,2,1,1]
[6,4,3,5,7,2,1]=>([(2,6),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]
[6,4,3,7,1,2,5]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
[6,4,3,7,1,5,2]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[6,4,3,7,2,1,5]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[6,4,3,7,2,5,1]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[6,4,3,7,5,1,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>[2,2,2,1]
[6,4,3,7,5,2,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[6,4,5,1,2,3,7]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[6,4,5,1,2,7,3]=>([(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[6,4,5,1,3,2,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[6,4,5,1,3,7,2]=>([(0,6),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>[3,2,1,1]
[6,4,5,1,7,2,3]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>[3,3,1]
[6,4,5,1,7,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>[3,2,1,1]
[6,4,5,2,1,3,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[6,4,5,2,1,7,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
[6,4,5,2,3,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[6,4,5,2,3,7,1]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[6,4,5,2,7,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
[6,4,5,2,7,3,1]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[6,4,5,3,1,2,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[6,4,5,3,1,7,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[6,4,5,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[6,4,5,3,2,7,1]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[6,4,5,3,7,1,2]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[6,4,5,3,7,2,1]=>([(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[6,4,5,7,1,2,3]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7)=>[3,3,1]
[6,4,5,7,1,3,2]=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7)=>[3,2,1,1]
[6,4,5,7,2,1,3]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>[3,2,1,1]
[6,4,5,7,2,3,1]=>([(1,6),(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[6,4,5,7,3,1,2]=>([(1,6),(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[6,4,5,7,3,2,1]=>([(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[6,4,7,1,2,3,5]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>[4,2,1]
[6,4,7,1,2,5,3]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>[3,2,2]
[6,4,7,1,3,2,5]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>[3,2,1,1]
[6,4,7,1,3,5,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>[3,2,1,1]
[6,4,7,1,5,2,3]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>[3,2,2]
[6,4,7,1,5,3,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>[2,2,2,1]
[6,4,7,2,1,3,5]=>([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[6,4,7,2,1,5,3]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>[2,2,2,1]
[6,4,7,2,3,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
[6,4,7,2,3,5,1]=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
[6,4,7,2,5,1,3]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>[2,2,2,1]
[6,4,7,2,5,3,1]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[6,4,7,3,1,2,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
[6,4,7,3,1,5,2]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[6,4,7,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>[2,2,1,1,1]
[6,4,7,3,2,5,1]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>[2,2,1,1,1]
[6,4,7,3,5,1,2]=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>[2,2,2,1]
[6,4,7,3,5,2,1]=>([(2,6),(3,5),(4,5),(4,6)],7)=>[2,2,1,1,1]
[6,4,7,5,1,2,3]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7)=>[3,2,2]
[6,4,7,5,1,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>[2,2,2,1]
[6,4,7,5,2,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[6,4,7,5,2,3,1]=>([(1,6),(2,5),(3,4),(3,6)],7)=>[2,2,2,1]
[6,4,7,5,3,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>[2,2,2,1]
[6,4,7,5,3,2,1]=>([(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[6,5,1,2,3,4,7]=>([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>[5,1,1]
[6,5,1,2,3,7,4]=>([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)=>[4,2,1]
[6,5,1,2,4,3,7]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[6,5,1,2,4,7,3]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>[4,1,1,1]
[6,5,1,2,7,3,4]=>([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)=>[4,2,1]
[6,5,1,2,7,4,3]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[6,5,1,3,2,4,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
[6,5,1,3,2,7,4]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[6,5,1,3,4,2,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[6,5,1,3,4,7,2]=>([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>[4,1,1,1]
[6,5,1,3,7,2,4]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)=>[3,2,1,1]
[6,5,1,3,7,4,2]=>([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>[3,2,1,1]
[6,5,1,4,2,3,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[6,5,1,4,2,7,3]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[6,5,1,4,3,2,7]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[6,5,1,4,3,7,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[6,5,1,4,7,2,3]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>[3,2,1,1]
[6,5,1,4,7,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>[3,1,1,1,1]
[6,5,1,7,2,3,4]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>[4,2,1]
[6,5,1,7,2,4,3]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>[3,2,1,1]
[6,5,1,7,3,2,4]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>[3,2,1,1]
[6,5,1,7,3,4,2]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,1,1]
[6,5,1,7,4,2,3]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,1,1]
[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
[6,5,2,1,3,4,7]=>([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>[4,1,1,1]
[6,5,2,1,3,7,4]=>([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)=>[3,2,1,1]
[6,5,2,1,4,3,7]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,5,2,1,4,7,3]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
[6,5,2,1,7,3,4]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>[3,2,1,1]
[6,5,2,1,7,4,3]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[6,5,2,3,1,4,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
[6,5,2,3,1,7,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[6,5,2,3,4,1,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
[6,5,2,3,4,7,1]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
[6,5,2,3,7,1,4]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[6,5,2,3,7,4,1]=>([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[6,5,2,4,1,3,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,5,2,4,1,7,3]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[6,5,2,4,3,1,7]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[6,5,2,4,3,7,1]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[6,5,2,4,7,1,3]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[6,5,2,4,7,3,1]=>([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
[6,5,2,7,1,3,4]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)=>[3,2,1,1]
[6,5,2,7,1,4,3]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[6,5,2,7,3,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[6,5,2,7,3,4,1]=>([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[6,5,2,7,4,1,3]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[6,5,2,7,4,3,1]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
[6,5,3,1,2,4,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
[6,5,3,1,2,7,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[6,5,3,1,4,2,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,5,3,1,4,7,2]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
[6,5,3,1,7,2,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[6,5,3,1,7,4,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[6,5,3,2,1,4,7]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]
[6,5,3,2,1,7,4]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[6,5,3,2,4,1,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]
[6,5,3,2,4,7,1]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]
[6,5,3,2,7,1,4]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[6,5,3,2,7,4,1]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[6,5,3,4,1,2,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[6,5,3,4,1,7,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[6,5,3,4,2,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[6,5,3,4,2,7,1]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[6,5,3,4,7,1,2]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[6,5,3,4,7,2,1]=>([(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[6,5,3,7,1,2,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)=>[3,2,1,1]
[6,5,3,7,1,4,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>[2,2,2,1]
[6,5,3,7,2,1,4]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>[2,2,1,1,1]
[6,5,3,7,2,4,1]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>[2,2,1,1,1]
[6,5,3,7,4,1,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>[2,2,2,1]
[6,5,3,7,4,2,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[6,5,4,1,2,3,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
[6,5,4,1,2,7,3]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[6,5,4,1,3,2,7]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[6,5,4,1,3,7,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
[6,5,4,1,7,2,3]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[6,5,4,1,7,3,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
[6,5,4,2,1,3,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]
[6,5,4,2,1,7,3]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[6,5,4,2,3,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[6,5,4,2,3,7,1]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[6,5,4,2,7,1,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>[2,2,1,1,1]
[6,5,4,2,7,3,1]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[6,5,4,3,1,2,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[6,5,4,3,1,7,2]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[6,5,4,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>[2,1,1,1,1,1]
[6,5,4,3,2,7,1]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>[2,1,1,1,1,1]
[6,5,4,3,7,1,2]=>([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>[2,2,1,1,1]
[6,5,4,3,7,2,1]=>([(2,6),(3,6),(4,6),(5,6)],7)=>[2,1,1,1,1,1]
[6,5,4,7,1,2,3]=>([(0,6),(1,6),(2,6),(3,4),(4,5)],7)=>[3,2,1,1]
[6,5,4,7,1,3,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>[2,2,1,1,1]
[6,5,4,7,2,1,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>[2,2,1,1,1]
[6,5,4,7,2,3,1]=>([(1,6),(2,6),(3,6),(4,5)],7)=>[2,2,1,1,1]
[6,5,4,7,3,1,2]=>([(1,6),(2,6),(3,6),(4,5)],7)=>[2,2,1,1,1]
[6,5,4,7,3,2,1]=>([(3,6),(4,6),(5,6)],7)=>[2,1,1,1,1,1]
[6,5,7,1,2,3,4]=>([(0,3),(1,6),(2,6),(3,5),(5,4)],7)=>[4,2,1]
[6,5,7,1,2,4,3]=>([(0,3),(1,6),(2,6),(3,4),(3,5)],7)=>[3,2,1,1]
[6,5,7,1,3,2,4]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>[3,2,1,1]
[6,5,7,1,3,4,2]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>[3,2,1,1]
[6,5,7,1,4,2,3]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>[3,2,1,1]
[6,5,7,1,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>[2,2,1,1,1]
[6,5,7,2,1,3,4]=>([(0,6),(1,6),(2,5),(3,5),(6,4)],7)=>[3,2,1,1]
[6,5,7,2,1,4,3]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>[2,2,2,1]
[6,5,7,2,3,1,4]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>[3,2,1,1]
[6,5,7,2,3,4,1]=>([(1,6),(2,6),(3,4),(4,5)],7)=>[3,2,1,1]
[6,5,7,2,4,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[6,5,7,2,4,3,1]=>([(1,6),(2,6),(3,4),(3,5)],7)=>[2,2,1,1,1]
[6,5,7,3,1,2,4]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>[3,2,1,1]
[6,5,7,3,1,4,2]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[6,5,7,3,2,1,4]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>[2,2,1,1,1]
[6,5,7,3,2,4,1]=>([(1,6),(2,6),(3,5),(4,5)],7)=>[2,2,1,1,1]
[6,5,7,3,4,1,2]=>([(0,6),(1,6),(2,5),(3,4)],7)=>[2,2,2,1]
[6,5,7,3,4,2,1]=>([(2,6),(3,6),(4,5)],7)=>[2,2,1,1,1]
[6,5,7,4,1,2,3]=>([(1,6),(2,6),(3,4),(4,5)],7)=>[3,2,1,1]
[6,5,7,4,1,3,2]=>([(1,6),(2,6),(3,4),(3,5)],7)=>[2,2,1,1,1]
[6,5,7,4,2,1,3]=>([(1,6),(2,6),(3,5),(4,5)],7)=>[2,2,1,1,1]
[6,5,7,4,2,3,1]=>([(2,6),(3,6),(4,5)],7)=>[2,2,1,1,1]
[6,5,7,4,3,1,2]=>([(2,6),(3,6),(4,5)],7)=>[2,2,1,1,1]
[6,5,7,4,3,2,1]=>([(4,6),(5,6)],7)=>[2,1,1,1,1,1]
[6,7,1,2,3,4,5]=>([(0,6),(1,3),(4,5),(5,2),(6,4)],7)=>[5,2]
[6,7,1,2,3,5,4]=>([(0,4),(1,5),(5,6),(6,2),(6,3)],7)=>[4,2,1]
[6,7,1,2,4,3,5]=>([(0,4),(1,5),(2,6),(3,6),(5,2),(5,3)],7)=>[4,2,1]
[6,7,1,2,4,5,3]=>([(0,4),(1,6),(5,3),(6,2),(6,5)],7)=>[4,2,1]
[6,7,1,2,5,3,4]=>([(0,4),(1,6),(5,3),(6,2),(6,5)],7)=>[4,2,1]
[6,7,1,2,5,4,3]=>([(0,5),(1,6),(6,2),(6,3),(6,4)],7)=>[3,2,1,1]
[6,7,1,3,2,4,5]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(6,4)],7)=>[4,2,1]
[6,7,1,3,2,5,4]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)=>[3,2,2]
[6,7,1,3,4,2,5]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(5,2)],7)=>[4,2,1]
[6,7,1,3,4,5,2]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7)=>[4,2,1]
[6,7,1,3,5,2,4]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>[3,2,2]
[6,7,1,3,5,4,2]=>([(0,5),(1,4),(1,6),(6,2),(6,3)],7)=>[3,2,1,1]
[6,7,1,4,2,3,5]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(5,2)],7)=>[4,2,1]
[6,7,1,4,2,5,3]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>[3,2,2]
[6,7,1,4,3,2,5]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7)=>[3,2,1,1]
[6,7,1,4,3,5,2]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6)],7)=>[3,2,1,1]
[6,7,1,4,5,2,3]=>([(0,4),(1,5),(1,6),(5,3),(6,2)],7)=>[3,2,2]
[6,7,1,4,5,3,2]=>([(0,5),(1,3),(1,4),(1,6),(6,2)],7)=>[3,2,1,1]
[6,7,1,5,2,3,4]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7)=>[4,2,1]
[6,7,1,5,2,4,3]=>([(0,5),(1,4),(1,6),(6,2),(6,3)],7)=>[3,2,1,1]
[6,7,1,5,3,2,4]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6)],7)=>[3,2,1,1]
[6,7,1,5,3,4,2]=>([(0,5),(1,3),(1,4),(1,6),(6,2)],7)=>[3,2,1,1]
[6,7,1,5,4,2,3]=>([(0,5),(1,3),(1,4),(1,6),(6,2)],7)=>[3,2,1,1]
[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>[2,2,1,1,1]
[6,7,2,1,3,4,5]=>([(0,6),(1,6),(2,3),(4,5),(6,4)],7)=>[4,2,1]
[6,7,2,1,3,5,4]=>([(0,6),(1,6),(2,3),(6,4),(6,5)],7)=>[3,2,2]
[6,7,2,1,4,3,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)=>[3,2,2]
[6,7,2,1,4,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>[3,2,2]
[6,7,2,1,5,3,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>[3,2,2]
[6,7,2,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7)=>[2,2,2,1]
[6,7,2,3,1,4,5]=>([(0,6),(1,3),(2,4),(4,6),(6,5)],7)=>[4,2,1]
[6,7,2,3,1,5,4]=>([(0,5),(0,6),(1,3),(2,4),(4,5),(4,6)],7)=>[3,2,2]
[6,7,2,3,4,1,5]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7)=>[4,2,1]
[6,7,2,3,4,5,1]=>([(1,6),(2,4),(5,3),(6,5)],7)=>[4,2,1]
[6,7,2,3,5,1,4]=>([(0,6),(1,3),(2,4),(4,5),(4,6)],7)=>[3,2,2]
[6,7,2,3,5,4,1]=>([(1,5),(2,6),(6,3),(6,4)],7)=>[3,2,1,1]
[6,7,2,4,1,3,5]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,2]
[6,7,2,4,1,5,3]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(4,6)],7)=>[3,2,2]
[6,7,2,4,3,1,5]=>([(0,6),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,7,2,4,3,5,1]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,7,2,4,5,1,3]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7)=>[3,2,2]
[6,7,2,4,5,3,1]=>([(1,5),(2,4),(2,6),(6,3)],7)=>[3,2,1,1]
[6,7,2,5,1,3,4]=>([(0,6),(1,3),(2,4),(2,6),(6,5)],7)=>[3,2,2]
[6,7,2,5,1,4,3]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[6,7,2,5,3,1,4]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7)=>[3,2,1,1]
[6,7,2,5,3,4,1]=>([(1,5),(2,4),(2,6),(6,3)],7)=>[3,2,1,1]
[6,7,2,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>[2,2,2,1]
[6,7,2,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5)],7)=>[2,2,1,1,1]
[6,7,3,1,2,4,5]=>([(0,6),(1,3),(2,4),(4,6),(6,5)],7)=>[4,2,1]
[6,7,3,1,2,5,4]=>([(0,5),(0,6),(1,3),(2,4),(4,5),(4,6)],7)=>[3,2,2]
[6,7,3,1,4,2,5]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,2]
[6,7,3,1,4,5,2]=>([(0,6),(1,3),(2,4),(2,6),(6,5)],7)=>[3,2,2]
[6,7,3,1,5,2,4]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(4,6)],7)=>[3,2,2]
[6,7,3,1,5,4,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
[6,7,3,2,1,4,5]=>([(0,6),(1,6),(2,6),(3,4),(6,5)],7)=>[3,2,1,1]
[6,7,3,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>[2,2,2,1]
[6,7,3,2,4,1,5]=>([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>[3,2,1,1]
[6,7,3,2,4,5,1]=>([(1,6),(2,6),(3,4),(6,5)],7)=>[3,2,1,1]
[6,7,3,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>[2,2,2,1]
[6,7,3,2,5,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>[2,2,2,1]
[6,7,3,4,1,2,5]=>([(0,5),(1,4),(2,3),(4,6),(5,6)],7)=>[3,2,2]
[6,7,3,4,1,5,2]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7)=>[3,2,2]
[6,7,3,4,2,1,5]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[6,7,3,4,2,5,1]=>([(1,6),(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[6,7,3,4,5,1,2]=>([(0,5),(1,4),(2,6),(6,3)],7)=>[3,2,2]
[6,7,3,4,5,2,1]=>([(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[6,7,3,5,1,2,4]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7)=>[3,2,2]
[6,7,3,5,1,4,2]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7)=>[2,2,2,1]
[6,7,3,5,2,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>[2,2,2,1]
[6,7,3,5,2,4,1]=>([(1,6),(2,5),(3,4),(3,6)],7)=>[2,2,2,1]
[6,7,3,5,4,1,2]=>([(0,6),(1,5),(2,3),(2,4)],7)=>[2,2,2,1]
[6,7,3,5,4,2,1]=>([(2,6),(3,4),(3,5)],7)=>[2,2,1,1,1]
[6,7,4,1,2,3,5]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7)=>[4,2,1]
[6,7,4,1,2,5,3]=>([(0,6),(1,3),(2,4),(4,5),(4,6)],7)=>[3,2,2]
[6,7,4,1,3,2,5]=>([(0,6),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,7,4,1,3,5,2]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7)=>[3,2,1,1]
[6,7,4,1,5,2,3]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7)=>[3,2,2]
[6,7,4,1,5,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>[2,2,2,1]
[6,7,4,2,1,3,5]=>([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>[3,2,1,1]
[6,7,4,2,1,5,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>[2,2,2,1]
[6,7,4,2,3,1,5]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[6,7,4,2,3,5,1]=>([(1,6),(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[6,7,4,2,5,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>[2,2,2,1]
[6,7,4,2,5,3,1]=>([(1,6),(2,5),(3,4),(3,6)],7)=>[2,2,2,1]
[6,7,4,3,1,2,5]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[6,7,4,3,1,5,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>[2,2,2,1]
[6,7,4,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>[2,2,1,1,1]
[6,7,4,3,2,5,1]=>([(1,6),(2,6),(3,6),(4,5)],7)=>[2,2,1,1,1]
[6,7,4,3,5,1,2]=>([(0,6),(1,6),(2,5),(3,4)],7)=>[2,2,2,1]
[6,7,4,3,5,2,1]=>([(2,6),(3,6),(4,5)],7)=>[2,2,1,1,1]
[6,7,4,5,1,2,3]=>([(0,5),(1,4),(2,6),(6,3)],7)=>[3,2,2]
[6,7,4,5,1,3,2]=>([(0,6),(1,5),(2,3),(2,4)],7)=>[2,2,2,1]
[6,7,4,5,2,1,3]=>([(0,6),(1,6),(2,5),(3,4)],7)=>[2,2,2,1]
[6,7,4,5,2,3,1]=>([(1,6),(2,5),(3,4)],7)=>[2,2,2,1]
[6,7,4,5,3,1,2]=>([(1,6),(2,5),(3,4)],7)=>[2,2,2,1]
[6,7,4,5,3,2,1]=>([(3,6),(4,5)],7)=>[2,2,1,1,1]
[6,7,5,1,2,3,4]=>([(1,6),(2,4),(5,3),(6,5)],7)=>[4,2,1]
[6,7,5,1,2,4,3]=>([(1,5),(2,6),(6,3),(6,4)],7)=>[3,2,1,1]
[6,7,5,1,3,2,4]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[6,7,5,1,3,4,2]=>([(1,5),(2,4),(2,6),(6,3)],7)=>[3,2,1,1]
[6,7,5,1,4,2,3]=>([(1,5),(2,4),(2,6),(6,3)],7)=>[3,2,1,1]
[6,7,5,1,4,3,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>[2,2,1,1,1]
[6,7,5,2,1,3,4]=>([(1,6),(2,6),(3,4),(6,5)],7)=>[3,2,1,1]
[6,7,5,2,1,4,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>[2,2,2,1]
[6,7,5,2,3,1,4]=>([(1,6),(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[6,7,5,2,3,4,1]=>([(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[6,7,5,2,4,1,3]=>([(1,6),(2,5),(3,4),(3,6)],7)=>[2,2,2,1]
[6,7,5,2,4,3,1]=>([(2,6),(3,4),(3,5)],7)=>[2,2,1,1,1]
[6,7,5,3,1,2,4]=>([(1,6),(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[6,7,5,3,1,4,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>[2,2,2,1]
[6,7,5,3,2,1,4]=>([(1,6),(2,6),(3,6),(4,5)],7)=>[2,2,1,1,1]
[6,7,5,3,2,4,1]=>([(2,6),(3,6),(4,5)],7)=>[2,2,1,1,1]
[6,7,5,3,4,1,2]=>([(1,6),(2,5),(3,4)],7)=>[2,2,2,1]
[6,7,5,3,4,2,1]=>([(3,6),(4,5)],7)=>[2,2,1,1,1]
[6,7,5,4,1,2,3]=>([(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[6,7,5,4,1,3,2]=>([(2,6),(3,4),(3,5)],7)=>[2,2,1,1,1]
[6,7,5,4,2,1,3]=>([(2,6),(3,6),(4,5)],7)=>[2,2,1,1,1]
[6,7,5,4,2,3,1]=>([(3,6),(4,5)],7)=>[2,2,1,1,1]
[6,7,5,4,3,1,2]=>([(3,6),(4,5)],7)=>[2,2,1,1,1]
[6,7,5,4,3,2,1]=>([(5,6)],7)=>[2,1,1,1,1,1]
[7,1,2,3,4,5,6]=>([(1,6),(3,5),(4,3),(5,2),(6,4)],7)=>[6,1]
[7,1,2,3,4,6,5]=>([(1,5),(4,6),(5,4),(6,2),(6,3)],7)=>[5,1,1]
[7,1,2,3,5,4,6]=>([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>[5,1,1]
[7,1,2,3,5,6,4]=>([(1,5),(4,3),(5,6),(6,2),(6,4)],7)=>[5,1,1]
[7,1,2,3,6,4,5]=>([(1,5),(4,3),(5,6),(6,2),(6,4)],7)=>[5,1,1]
[7,1,2,3,6,5,4]=>([(1,5),(5,6),(6,2),(6,3),(6,4)],7)=>[4,1,1,1]
[7,1,2,4,3,5,6]=>([(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)=>[5,1,1]
[7,1,2,4,3,6,5]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>[4,2,1]
[7,1,2,4,5,3,6]=>([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>[5,1,1]
[7,1,2,4,5,6,3]=>([(1,6),(4,5),(5,3),(6,2),(6,4)],7)=>[5,1,1]
[7,1,2,4,6,3,5]=>([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)=>[4,2,1]
[7,1,2,4,6,5,3]=>([(1,6),(5,3),(5,4),(6,2),(6,5)],7)=>[4,1,1,1]
[7,1,2,5,3,4,6]=>([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>[5,1,1]
[7,1,2,5,3,6,4]=>([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)=>[4,2,1]
[7,1,2,5,4,3,6]=>([(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
[7,1,2,5,4,6,3]=>([(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
[7,1,2,5,6,3,4]=>([(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>[4,2,1]
[7,1,2,5,6,4,3]=>([(1,6),(5,4),(6,2),(6,3),(6,5)],7)=>[4,1,1,1]
[7,1,2,6,3,4,5]=>([(1,6),(4,5),(5,3),(6,2),(6,4)],7)=>[5,1,1]
[7,1,2,6,3,5,4]=>([(1,6),(5,3),(5,4),(6,2),(6,5)],7)=>[4,1,1,1]
[7,1,2,6,4,3,5]=>([(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
[7,1,2,6,4,5,3]=>([(1,6),(5,4),(6,2),(6,3),(6,5)],7)=>[4,1,1,1]
[7,1,2,6,5,3,4]=>([(1,6),(5,4),(6,2),(6,3),(6,5)],7)=>[4,1,1,1]
[7,1,2,6,5,4,3]=>([(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>[3,1,1,1,1]
[7,1,3,2,4,5,6]=>([(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)=>[5,1,1]
[7,1,3,2,4,6,5]=>([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>[4,2,1]
[7,1,3,2,5,4,6]=>([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[7,1,3,2,5,6,4]=>([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[7,1,3,2,6,4,5]=>([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>[4,2,1]
[7,1,3,2,6,5,4]=>([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[7,1,3,4,2,5,6]=>([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>[5,1,1]
[7,1,3,4,2,6,5]=>([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>[4,2,1]
[7,1,3,4,5,2,6]=>([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>[5,1,1]
[7,1,3,4,5,6,2]=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7)=>[5,1,1]
[7,1,3,4,6,2,5]=>([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)=>[4,2,1]
[7,1,3,4,6,5,2]=>([(1,4),(1,5),(5,6),(6,2),(6,3)],7)=>[4,1,1,1]
[7,1,3,5,2,4,6]=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>[4,2,1]
[7,1,3,5,2,6,4]=>([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>[4,2,1]
[7,1,3,5,4,2,6]=>([(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>[4,1,1,1]
[7,1,3,5,4,6,2]=>([(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>[4,1,1,1]
[7,1,3,5,6,2,4]=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)=>[4,2,1]
[7,1,3,5,6,4,2]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)=>[4,1,1,1]
[7,1,3,6,2,4,5]=>([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>[4,2,1]
[7,1,3,6,2,5,4]=>([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>[3,2,1,1]
[7,1,3,6,4,2,5]=>([(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>[4,1,1,1]
[7,1,3,6,4,5,2]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)=>[4,1,1,1]
[7,1,3,6,5,2,4]=>([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>[3,2,1,1]
[7,1,3,6,5,4,2]=>([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>[3,1,1,1,1]
[7,1,4,2,3,5,6]=>([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>[5,1,1]
[7,1,4,2,3,6,5]=>([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>[4,2,1]
[7,1,4,2,5,3,6]=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>[4,2,1]
[7,1,4,2,5,6,3]=>([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>[4,2,1]
[7,1,4,2,6,3,5]=>([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>[4,2,1]
[7,1,4,2,6,5,3]=>([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>[3,2,1,1]
[7,1,4,3,2,5,6]=>([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[7,1,4,3,2,6,5]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,1,4,3,5,2,6]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
[7,1,4,3,5,6,2]=>([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[7,1,4,3,6,2,5]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,1,4,3,6,5,2]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,1,4,5,2,3,6]=>([(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>[4,2,1]
[7,1,4,5,2,6,3]=>([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>[4,2,1]
[7,1,4,5,3,2,6]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,1,1,1]
[7,1,4,5,3,6,2]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>[4,1,1,1]
[7,1,4,5,6,2,3]=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>[4,2,1]
[7,1,4,5,6,3,2]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>[4,1,1,1]
[7,1,4,6,2,3,5]=>([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>[4,2,1]
[7,1,4,6,2,5,3]=>([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
[7,1,4,6,3,2,5]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
[7,1,4,6,3,5,2]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
[7,1,4,6,5,2,3]=>([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>[3,2,1,1]
[7,1,4,6,5,3,2]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>[3,1,1,1,1]
[7,1,5,2,3,4,6]=>([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>[5,1,1]
[7,1,5,2,3,6,4]=>([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)=>[4,2,1]
[7,1,5,2,4,3,6]=>([(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>[4,1,1,1]
[7,1,5,2,4,6,3]=>([(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>[4,1,1,1]
[7,1,5,2,6,3,4]=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)=>[4,2,1]
[7,1,5,2,6,4,3]=>([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>[3,2,1,1]
[7,1,5,3,2,4,6]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
[7,1,5,3,2,6,4]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,1,5,3,4,2,6]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,1,1,1]
[7,1,5,3,4,6,2]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>[4,1,1,1]
[7,1,5,3,6,2,4]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>[3,2,1,1]
[7,1,5,3,6,4,2]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
[7,1,5,4,2,3,6]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,1,1,1]
[7,1,5,4,2,6,3]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
[7,1,5,4,3,2,6]=>([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,1,5,4,3,6,2]=>([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,1,5,4,6,2,3]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>[3,2,1,1]
[7,1,5,4,6,3,2]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,1,5,6,2,3,4]=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>[4,2,1]
[7,1,5,6,2,4,3]=>([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>[3,2,1,1]
[7,1,5,6,3,2,4]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>[3,2,1,1]
[7,1,5,6,3,4,2]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>[3,2,1,1]
[7,1,5,6,4,2,3]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>[3,2,1,1]
[7,1,5,6,4,3,2]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,1,1,1,1]
[7,1,6,2,3,4,5]=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7)=>[5,1,1]
[7,1,6,2,3,5,4]=>([(1,4),(1,5),(5,6),(6,2),(6,3)],7)=>[4,1,1,1]
[7,1,6,2,4,3,5]=>([(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>[4,1,1,1]
[7,1,6,2,4,5,3]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)=>[4,1,1,1]
[7,1,6,2,5,3,4]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)=>[4,1,1,1]
[7,1,6,2,5,4,3]=>([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>[3,1,1,1,1]
[7,1,6,3,2,4,5]=>([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[7,1,6,3,2,5,4]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,1,6,3,4,2,5]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>[4,1,1,1]
[7,1,6,3,4,5,2]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>[4,1,1,1]
[7,1,6,3,5,2,4]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
[7,1,6,3,5,4,2]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>[3,1,1,1,1]
[7,1,6,4,2,3,5]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>[4,1,1,1]
[7,1,6,4,2,5,3]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
[7,1,6,4,3,2,5]=>([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,1,6,4,3,5,2]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,1,6,4,5,2,3]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>[3,2,1,1]
[7,1,6,4,5,3,2]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,1,1,1,1]
[7,1,6,5,2,3,4]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>[4,1,1,1]
[7,1,6,5,2,4,3]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>[3,1,1,1,1]
[7,1,6,5,3,2,4]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,1,6,5,3,4,2]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,1,1,1,1]
[7,1,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,1,1,1,1]
[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>[2,1,1,1,1,1]
[7,2,1,3,4,5,6]=>([(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>[5,1,1]
[7,2,1,3,4,6,5]=>([(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>[4,2,1]
[7,2,1,3,5,4,6]=>([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>[4,2,1]
[7,2,1,3,5,6,4]=>([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>[4,2,1]
[7,2,1,3,6,4,5]=>([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>[4,2,1]
[7,2,1,3,6,5,4]=>([(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>[3,2,1,1]
[7,2,1,4,3,5,6]=>([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>[4,2,1]
[7,2,1,4,3,6,5]=>([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>[3,3,1]
[7,2,1,4,5,3,6]=>([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>[4,2,1]
[7,2,1,4,5,6,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>[4,2,1]
[7,2,1,4,6,3,5]=>([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>[3,3,1]
[7,2,1,4,6,5,3]=>([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>[3,2,1,1]
[7,2,1,5,3,4,6]=>([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>[4,2,1]
[7,2,1,5,3,6,4]=>([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>[3,3,1]
[7,2,1,5,4,3,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[7,2,1,5,4,6,3]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>[3,2,1,1]
[7,2,1,5,6,3,4]=>([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>[3,3,1]
[7,2,1,5,6,4,3]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
[7,2,1,6,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>[4,2,1]
[7,2,1,6,3,5,4]=>([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>[3,2,1,1]
[7,2,1,6,4,3,5]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>[3,2,1,1]
[7,2,1,6,4,5,3]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
[7,2,1,6,5,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
[7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
[7,2,3,1,4,5,6]=>([(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>[5,1,1]
[7,2,3,1,4,6,5]=>([(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>[4,2,1]
[7,2,3,1,5,4,6]=>([(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[7,2,3,1,5,6,4]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[7,2,3,1,6,4,5]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[7,2,3,1,6,5,4]=>([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[7,2,3,4,1,5,6]=>([(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>[5,1,1]
[7,2,3,4,1,6,5]=>([(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>[4,2,1]
[7,2,3,4,5,1,6]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>[5,1,1]
[7,2,3,4,5,6,1]=>([(2,6),(4,5),(5,3),(6,4)],7)=>[5,1,1]
[7,2,3,4,6,1,5]=>([(1,3),(2,6),(3,5),(5,4),(5,6)],7)=>[4,2,1]
[7,2,3,4,6,5,1]=>([(2,5),(5,6),(6,3),(6,4)],7)=>[4,1,1,1]
[7,2,3,5,1,4,6]=>([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[7,2,3,5,1,6,4]=>([(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>[4,2,1]
[7,2,3,5,4,1,6]=>([(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[7,2,3,5,4,6,1]=>([(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[7,2,3,5,6,1,4]=>([(1,3),(2,6),(3,5),(3,6),(5,4)],7)=>[4,2,1]
[7,2,3,5,6,4,1]=>([(2,6),(5,4),(6,3),(6,5)],7)=>[4,1,1,1]
[7,2,3,6,1,4,5]=>([(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>[4,2,1]
[7,2,3,6,1,5,4]=>([(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[7,2,3,6,4,1,5]=>([(1,3),(2,6),(3,4),(3,5),(5,6)],7)=>[4,1,1,1]
[7,2,3,6,4,5,1]=>([(2,6),(5,4),(6,3),(6,5)],7)=>[4,1,1,1]
[7,2,3,6,5,1,4]=>([(1,3),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[7,2,3,6,5,4,1]=>([(2,6),(6,3),(6,4),(6,5)],7)=>[3,1,1,1,1]
[7,2,4,1,3,5,6]=>([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>[4,2,1]
[7,2,4,1,3,6,5]=>([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[7,2,4,1,5,3,6]=>([(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[7,2,4,1,5,6,3]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>[4,2,1]
[7,2,4,1,6,3,5]=>([(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[7,2,4,1,6,5,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>[3,2,1,1]
[7,2,4,3,1,5,6]=>([(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[7,2,4,3,1,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,2,4,3,5,1,6]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[7,2,4,3,5,6,1]=>([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[7,2,4,3,6,1,5]=>([(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,2,4,3,6,5,1]=>([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,2,4,5,1,3,6]=>([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>[4,2,1]
[7,2,4,5,1,6,3]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>[4,2,1]
[7,2,4,5,3,1,6]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[7,2,4,5,3,6,1]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[7,2,4,5,6,1,3]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>[4,2,1]
[7,2,4,5,6,3,1]=>([(2,4),(2,6),(5,3),(6,5)],7)=>[4,1,1,1]
[7,2,4,6,1,3,5]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>[3,3,1]
[7,2,4,6,1,5,3]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>[3,2,1,1]
[7,2,4,6,3,1,5]=>([(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,2,4,6,3,5,1]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,2,4,6,5,1,3]=>([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>[3,2,1,1]
[7,2,4,6,5,3,1]=>([(2,5),(2,6),(6,3),(6,4)],7)=>[3,1,1,1,1]
[7,2,5,1,3,4,6]=>([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>[4,2,1]
[7,2,5,1,3,6,4]=>([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>[3,3,1]
[7,2,5,1,4,3,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[7,2,5,1,4,6,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>[3,2,1,1]
[7,2,5,1,6,3,4]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>[3,3,1]
[7,2,5,1,6,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>[3,2,1,1]
[7,2,5,3,1,4,6]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>[4,1,1,1]
[7,2,5,3,1,6,4]=>([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,2,5,3,4,1,6]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[7,2,5,3,4,6,1]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[7,2,5,3,6,1,4]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,2,5,3,6,4,1]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,2,5,4,1,3,6]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[7,2,5,4,1,6,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
[7,2,5,4,3,1,6]=>([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,2,5,4,3,6,1]=>([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,2,5,4,6,1,3]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
[7,2,5,4,6,3,1]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,2,5,6,1,3,4]=>([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>[3,3,1]
[7,2,5,6,1,4,3]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>[3,2,1,1]
[7,2,5,6,3,1,4]=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>[3,2,1,1]
[7,2,5,6,3,4,1]=>([(2,5),(2,6),(5,4),(6,3)],7)=>[3,2,1,1]
[7,2,5,6,4,1,3]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,1,1]
[7,2,5,6,4,3,1]=>([(2,4),(2,5),(2,6),(6,3)],7)=>[3,1,1,1,1]
[7,2,6,1,3,4,5]=>([(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>[4,2,1]
[7,2,6,1,3,5,4]=>([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>[3,2,1,1]
[7,2,6,1,4,3,5]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[7,2,6,1,4,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
[7,2,6,1,5,3,4]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
[7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
[7,2,6,3,1,4,5]=>([(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>[4,1,1,1]
[7,2,6,3,1,5,4]=>([(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>[3,2,1,1]
[7,2,6,3,4,1,5]=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>[4,1,1,1]
[7,2,6,3,4,5,1]=>([(2,4),(2,6),(5,3),(6,5)],7)=>[4,1,1,1]
[7,2,6,3,5,1,4]=>([(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>[3,2,1,1]
[7,2,6,3,5,4,1]=>([(2,5),(2,6),(6,3),(6,4)],7)=>[3,1,1,1,1]
[7,2,6,4,1,3,5]=>([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[7,2,6,4,1,5,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>[3,2,1,1]
[7,2,6,4,3,1,5]=>([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,2,6,4,3,5,1]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,2,6,4,5,1,3]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,1,1]
[7,2,6,4,5,3,1]=>([(2,4),(2,5),(2,6),(6,3)],7)=>[3,1,1,1,1]
[7,2,6,5,1,3,4]=>([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>[3,2,1,1]
[7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
[7,2,6,5,3,1,4]=>([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>[3,1,1,1,1]
[7,2,6,5,3,4,1]=>([(2,4),(2,5),(2,6),(6,3)],7)=>[3,1,1,1,1]
[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>[2,1,1,1,1,1]
[7,3,1,2,4,5,6]=>([(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>[5,1,1]
[7,3,1,2,4,6,5]=>([(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>[4,2,1]
[7,3,1,2,5,4,6]=>([(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
[7,3,1,2,5,6,4]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[7,3,1,2,6,4,5]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
[7,3,1,2,6,5,4]=>([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[7,3,1,4,2,5,6]=>([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>[4,2,1]
[7,3,1,4,2,6,5]=>([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[7,3,1,4,5,2,6]=>([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>[4,2,1]
[7,3,1,4,5,6,2]=>([(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>[4,2,1]
[7,3,1,4,6,2,5]=>([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>[3,3,1]
[7,3,1,4,6,5,2]=>([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>[3,2,1,1]
[7,3,1,5,2,4,6]=>([(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[7,3,1,5,2,6,4]=>([(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>[3,3,1]
[7,3,1,5,4,2,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[7,3,1,5,4,6,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[7,3,1,5,6,2,4]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>[3,3,1]
[7,3,1,5,6,4,2]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
[7,3,1,6,2,4,5]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>[4,2,1]
[7,3,1,6,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>[3,2,1,1]
[7,3,1,6,4,2,5]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>[3,2,1,1]
[7,3,1,6,4,5,2]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
[7,3,1,6,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>[3,2,1,1]
[7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
[7,3,2,1,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>[4,1,1,1]
[7,3,2,1,4,6,5]=>([(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>[3,2,1,1]
[7,3,2,1,5,4,6]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[3,2,1,1]
[7,3,2,1,5,6,4]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[7,3,2,1,6,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[7,3,2,1,6,5,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[7,3,2,4,1,5,6]=>([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>[4,1,1,1]
[7,3,2,4,1,6,5]=>([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,3,2,4,5,1,6]=>([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>[4,1,1,1]
[7,3,2,4,5,6,1]=>([(2,6),(3,6),(4,5),(6,4)],7)=>[4,1,1,1]
[7,3,2,4,6,1,5]=>([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>[3,2,1,1]
[7,3,2,4,6,5,1]=>([(2,6),(3,6),(6,4),(6,5)],7)=>[3,2,1,1]
[7,3,2,5,1,4,6]=>([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>[3,2,1,1]
[7,3,2,5,1,6,4]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[7,3,2,5,4,1,6]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[7,3,2,5,4,6,1]=>([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[7,3,2,5,6,1,4]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>[3,2,1,1]
[7,3,2,5,6,4,1]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[7,3,2,6,1,4,5]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[7,3,2,6,1,5,4]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[7,3,2,6,4,1,5]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
[7,3,2,6,4,5,1]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[7,3,2,6,5,1,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[7,3,2,6,5,4,1]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
[7,3,4,1,2,5,6]=>([(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>[4,2,1]
[7,3,4,1,2,6,5]=>([(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[7,3,4,1,5,2,6]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[7,3,4,1,5,6,2]=>([(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>[4,2,1]
[7,3,4,1,6,2,5]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[7,3,4,1,6,5,2]=>([(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,3,4,2,1,5,6]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[7,3,4,2,1,6,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[7,3,4,2,5,1,6]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[7,3,4,2,5,6,1]=>([(2,6),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[7,3,4,2,6,1,5]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[7,3,4,2,6,5,1]=>([(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[7,3,4,5,1,2,6]=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[7,3,4,5,1,6,2]=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>[4,2,1]
[7,3,4,5,2,1,6]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
[7,3,4,5,2,6,1]=>([(2,6),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
[7,3,4,5,6,1,2]=>([(1,6),(2,4),(5,3),(6,5)],7)=>[4,2,1]
[7,3,4,5,6,2,1]=>([(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[7,3,4,6,1,2,5]=>([(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[7,3,4,6,1,5,2]=>([(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,3,4,6,2,1,5]=>([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[7,3,4,6,2,5,1]=>([(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[7,3,4,6,5,1,2]=>([(1,5),(2,6),(6,3),(6,4)],7)=>[3,2,1,1]
[7,3,4,6,5,2,1]=>([(3,4),(4,5),(4,6)],7)=>[3,1,1,1,1]
[7,3,5,1,2,4,6]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[7,3,5,1,2,6,4]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[7,3,5,1,4,2,6]=>([(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[7,3,5,1,4,6,2]=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[7,3,5,1,6,2,4]=>([(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>[3,3,1]
[7,3,5,1,6,4,2]=>([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>[3,2,1,1]
[7,3,5,2,1,4,6]=>([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>[3,2,1,1]
[7,3,5,2,1,6,4]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[7,3,5,2,4,1,6]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[7,3,5,2,4,6,1]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[7,3,5,2,6,1,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[7,3,5,2,6,4,1]=>([(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[7,3,5,4,1,2,6]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[7,3,5,4,1,6,2]=>([(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[7,3,5,4,2,1,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,3,5,4,2,6,1]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,3,5,4,6,1,2]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[7,3,5,4,6,2,1]=>([(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,3,5,6,1,2,4]=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>[3,3,1]
[7,3,5,6,1,4,2]=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>[3,2,1,1]
[7,3,5,6,2,1,4]=>([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[7,3,5,6,2,4,1]=>([(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[7,3,5,6,4,1,2]=>([(1,5),(2,4),(2,6),(6,3)],7)=>[3,2,1,1]
[7,3,5,6,4,2,1]=>([(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
[7,3,6,1,2,4,5]=>([(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>[4,2,1]
[7,3,6,1,2,5,4]=>([(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,3,6,1,4,2,5]=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[7,3,6,1,4,5,2]=>([(1,4),(1,6),(2,3),(2,6),(6,5)],7)=>[3,2,1,1]
[7,3,6,1,5,2,4]=>([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>[3,2,1,1]
[7,3,6,1,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>[2,2,1,1,1]
[7,3,6,2,1,4,5]=>([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>[3,2,1,1]
[7,3,6,2,1,5,4]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[7,3,6,2,4,1,5]=>([(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
[7,3,6,2,4,5,1]=>([(2,6),(3,4),(3,6),(6,5)],7)=>[3,2,1,1]
[7,3,6,2,5,1,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[7,3,6,2,5,4,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
[7,3,6,4,1,2,5]=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>[3,2,1,1]
[7,3,6,4,1,5,2]=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7)=>[3,2,1,1]
[7,3,6,4,2,1,5]=>([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
[7,3,6,4,2,5,1]=>([(2,6),(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
[7,3,6,4,5,1,2]=>([(1,5),(2,4),(2,6),(6,3)],7)=>[3,2,1,1]
[7,3,6,4,5,2,1]=>([(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
[7,3,6,5,1,2,4]=>([(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>[3,2,1,1]
[7,3,6,5,1,4,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>[2,2,1,1,1]
[7,3,6,5,2,1,4]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
[7,3,6,5,2,4,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
[7,3,6,5,4,1,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>[2,2,1,1,1]
[7,3,6,5,4,2,1]=>([(3,4),(3,5),(3,6)],7)=>[2,1,1,1,1,1]
[7,4,1,2,3,5,6]=>([(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>[5,1,1]
[7,4,1,2,3,6,5]=>([(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>[4,2,1]
[7,4,1,2,5,3,6]=>([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>[4,2,1]
[7,4,1,2,5,6,3]=>([(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>[4,2,1]
[7,4,1,2,6,3,5]=>([(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>[4,2,1]
[7,4,1,2,6,5,3]=>([(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[7,4,1,3,2,5,6]=>([(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[7,4,1,3,2,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,4,1,3,5,2,6]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>[4,1,1,1]
[7,4,1,3,5,6,2]=>([(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>[4,1,1,1]
[7,4,1,3,6,2,5]=>([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,4,1,3,6,5,2]=>([(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>[3,2,1,1]
[7,4,1,5,2,3,6]=>([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>[4,2,1]
[7,4,1,5,2,6,3]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>[3,3,1]
[7,4,1,5,3,2,6]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[7,4,1,5,3,6,2]=>([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[7,4,1,5,6,2,3]=>([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>[3,3,1]
[7,4,1,5,6,3,2]=>([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>[3,2,1,1]
[7,4,1,6,2,3,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>[4,2,1]
[7,4,1,6,2,5,3]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>[3,2,1,1]
[7,4,1,6,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
[7,4,1,6,3,5,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>[3,2,1,1]
[7,4,1,6,5,2,3]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>[3,2,1,1]
[7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
[7,4,2,1,3,5,6]=>([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>[4,1,1,1]
[7,4,2,1,3,6,5]=>([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,4,2,1,5,3,6]=>([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>[3,2,1,1]
[7,4,2,1,5,6,3]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[7,4,2,1,6,3,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[7,4,2,1,6,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[7,4,2,3,1,5,6]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[7,4,2,3,1,6,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[7,4,2,3,5,1,6]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[7,4,2,3,5,6,1]=>([(2,6),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[7,4,2,3,6,1,5]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[7,4,2,3,6,5,1]=>([(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[7,4,2,5,1,3,6]=>([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[7,4,2,5,1,6,3]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
[7,4,2,5,3,1,6]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[7,4,2,5,3,6,1]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[7,4,2,5,6,1,3]=>([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[7,4,2,5,6,3,1]=>([(2,6),(3,4),(3,6),(6,5)],7)=>[3,2,1,1]
[7,4,2,6,1,3,5]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
[7,4,2,6,1,5,3]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[7,4,2,6,3,1,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[7,4,2,6,3,5,1]=>([(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[7,4,2,6,5,1,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[7,4,2,6,5,3,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
[7,4,3,1,2,5,6]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[7,4,3,1,2,6,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[7,4,3,1,5,2,6]=>([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>[3,2,1,1]
[7,4,3,1,5,6,2]=>([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>[3,2,1,1]
[7,4,3,1,6,2,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[7,4,3,1,6,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[7,4,3,2,1,5,6]=>([(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>[3,1,1,1,1]
[7,4,3,2,1,6,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,4,3,2,5,1,6]=>([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>[3,1,1,1,1]
[7,4,3,2,5,6,1]=>([(2,6),(3,6),(4,6),(6,5)],7)=>[3,1,1,1,1]
[7,4,3,2,6,1,5]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,4,3,2,6,5,1]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,4,3,5,1,2,6]=>([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[7,4,3,5,1,6,2]=>([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[7,4,3,5,2,1,6]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,4,3,5,2,6,1]=>([(2,6),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,4,3,5,6,1,2]=>([(1,6),(2,6),(3,4),(6,5)],7)=>[3,2,1,1]
[7,4,3,5,6,2,1]=>([(3,6),(4,6),(6,5)],7)=>[3,1,1,1,1]
[7,4,3,6,1,2,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
[7,4,3,6,1,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[7,4,3,6,2,1,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,4,3,6,2,5,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,4,3,6,5,1,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>[2,2,2,1]
[7,4,3,6,5,2,1]=>([(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,4,5,1,2,3,6]=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
[7,4,5,1,2,6,3]=>([(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
[7,4,5,1,3,2,6]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
[7,4,5,1,3,6,2]=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>[3,2,1,1]
[7,4,5,1,6,2,3]=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>[3,3,1]
[7,4,5,1,6,3,2]=>([(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>[3,2,1,1]
[7,4,5,2,1,3,6]=>([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[7,4,5,2,1,6,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
[7,4,5,2,3,1,6]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[7,4,5,2,3,6,1]=>([(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[7,4,5,2,6,1,3]=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
[7,4,5,2,6,3,1]=>([(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[7,4,5,3,1,2,6]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[7,4,5,3,1,6,2]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[7,4,5,3,2,1,6]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,4,5,3,2,6,1]=>([(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,4,5,3,6,1,2]=>([(1,6),(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[7,4,5,3,6,2,1]=>([(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,4,5,6,1,2,3]=>([(1,6),(2,5),(5,3),(6,4)],7)=>[3,3,1]
[7,4,5,6,1,3,2]=>([(1,6),(2,4),(2,5),(6,3)],7)=>[3,2,1,1]
[7,4,5,6,2,1,3]=>([(1,6),(2,6),(3,4),(4,5)],7)=>[3,2,1,1]
[7,4,5,6,2,3,1]=>([(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[7,4,5,6,3,1,2]=>([(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[7,4,5,6,3,2,1]=>([(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,4,6,1,2,3,5]=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>[4,2,1]
[7,4,6,1,2,5,3]=>([(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,4,6,1,3,2,5]=>([(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[7,4,6,1,3,5,2]=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7)=>[3,2,1,1]
[7,4,6,1,5,2,3]=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>[3,2,1,1]
[7,4,6,1,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>[2,2,1,1,1]
[7,4,6,2,1,3,5]=>([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[7,4,6,2,1,5,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[7,4,6,2,3,1,5]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[7,4,6,2,3,5,1]=>([(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[7,4,6,2,5,1,3]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[7,4,6,2,5,3,1]=>([(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,1,1,1]
[7,4,6,3,1,2,5]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[7,4,6,3,1,5,2]=>([(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[7,4,6,3,2,1,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,4,6,3,2,5,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,4,6,3,5,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>[2,2,2,1]
[7,4,6,3,5,2,1]=>([(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,4,6,5,1,2,3]=>([(1,6),(2,4),(2,5),(6,3)],7)=>[3,2,1,1]
[7,4,6,5,1,3,2]=>([(1,5),(1,6),(2,3),(2,4)],7)=>[2,2,1,1,1]
[7,4,6,5,2,1,3]=>([(1,6),(2,6),(3,4),(3,5)],7)=>[2,2,1,1,1]
[7,4,6,5,2,3,1]=>([(2,6),(3,4),(3,5)],7)=>[2,2,1,1,1]
[7,4,6,5,3,1,2]=>([(2,6),(3,4),(3,5)],7)=>[2,2,1,1,1]
[7,4,6,5,3,2,1]=>([(4,5),(4,6)],7)=>[2,1,1,1,1,1]
[7,5,1,2,3,4,6]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>[5,1,1]
[7,5,1,2,3,6,4]=>([(1,3),(2,6),(3,5),(5,4),(5,6)],7)=>[4,2,1]
[7,5,1,2,4,3,6]=>([(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[7,5,1,2,4,6,3]=>([(1,3),(2,6),(3,4),(3,5),(5,6)],7)=>[4,1,1,1]
[7,5,1,2,6,3,4]=>([(1,3),(2,6),(3,5),(3,6),(5,4)],7)=>[4,2,1]
[7,5,1,2,6,4,3]=>([(1,3),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
[7,5,1,3,2,4,6]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[7,5,1,3,2,6,4]=>([(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,5,1,3,4,2,6]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[7,5,1,3,4,6,2]=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>[4,1,1,1]
[7,5,1,3,6,2,4]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,5,1,3,6,4,2]=>([(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>[3,2,1,1]
[7,5,1,4,2,3,6]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[7,5,1,4,2,6,3]=>([(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,5,1,4,3,2,6]=>([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,5,1,4,3,6,2]=>([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,5,1,4,6,2,3]=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>[3,2,1,1]
[7,5,1,4,6,3,2]=>([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>[3,1,1,1,1]
[7,5,1,6,2,3,4]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>[4,2,1]
[7,5,1,6,2,4,3]=>([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>[3,2,1,1]
[7,5,1,6,3,2,4]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
[7,5,1,6,3,4,2]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,1,1]
[7,5,1,6,4,2,3]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,1,1]
[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
[7,5,2,1,3,4,6]=>([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>[4,1,1,1]
[7,5,2,1,3,6,4]=>([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>[3,2,1,1]
[7,5,2,1,4,3,6]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[7,5,2,1,4,6,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
[7,5,2,1,6,3,4]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>[3,2,1,1]
[7,5,2,1,6,4,3]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[7,5,2,3,1,4,6]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[7,5,2,3,1,6,4]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[7,5,2,3,4,1,6]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
[7,5,2,3,4,6,1]=>([(2,6),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
[7,5,2,3,6,1,4]=>([(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[7,5,2,3,6,4,1]=>([(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[7,5,2,4,1,3,6]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[7,5,2,4,1,6,3]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[7,5,2,4,3,1,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,5,2,4,3,6,1]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,5,2,4,6,1,3]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[7,5,2,4,6,3,1]=>([(2,6),(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
[7,5,2,6,1,3,4]=>([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[7,5,2,6,1,4,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[7,5,2,6,3,1,4]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[7,5,2,6,3,4,1]=>([(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[7,5,2,6,4,1,3]=>([(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[7,5,2,6,4,3,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
[7,5,3,1,2,4,6]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[7,5,3,1,2,6,4]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[7,5,3,1,4,2,6]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[7,5,3,1,4,6,2]=>([(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
[7,5,3,1,6,2,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[7,5,3,1,6,4,2]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
[7,5,3,2,1,4,6]=>([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>[3,1,1,1,1]
[7,5,3,2,1,6,4]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,5,3,2,4,1,6]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,5,3,2,4,6,1]=>([(2,6),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,5,3,2,6,1,4]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,5,3,2,6,4,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,5,3,4,1,2,6]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[7,5,3,4,1,6,2]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[7,5,3,4,2,1,6]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,5,3,4,2,6,1]=>([(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,5,3,4,6,1,2]=>([(1,6),(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[7,5,3,4,6,2,1]=>([(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,5,3,6,1,2,4]=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
[7,5,3,6,1,4,2]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
[7,5,3,6,2,1,4]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,5,3,6,2,4,1]=>([(2,6),(3,5),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,5,3,6,4,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>[2,2,2,1]
[7,5,3,6,4,2,1]=>([(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,5,4,1,2,3,6]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
[7,5,4,1,2,6,3]=>([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[7,5,4,1,3,2,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,5,4,1,3,6,2]=>([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
[7,5,4,1,6,2,3]=>([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[7,5,4,1,6,3,2]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
[7,5,4,2,1,3,6]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,5,4,2,1,6,3]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,5,4,2,3,1,6]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,5,4,2,3,6,1]=>([(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,5,4,2,6,1,3]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,5,4,2,6,3,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,5,4,3,1,2,6]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,5,4,3,1,6,2]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,5,4,3,2,1,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>[2,1,1,1,1,1]
[7,5,4,3,2,6,1]=>([(2,6),(3,6),(4,6),(5,6)],7)=>[2,1,1,1,1,1]
[7,5,4,3,6,1,2]=>([(1,6),(2,6),(3,6),(4,5)],7)=>[2,2,1,1,1]
[7,5,4,3,6,2,1]=>([(3,6),(4,6),(5,6)],7)=>[2,1,1,1,1,1]
[7,5,4,6,1,2,3]=>([(1,6),(2,6),(3,4),(4,5)],7)=>[3,2,1,1]
[7,5,4,6,1,3,2]=>([(1,6),(2,6),(3,4),(3,5)],7)=>[2,2,1,1,1]
[7,5,4,6,2,1,3]=>([(1,6),(2,6),(3,5),(4,5)],7)=>[2,2,1,1,1]
[7,5,4,6,2,3,1]=>([(2,6),(3,6),(4,5)],7)=>[2,2,1,1,1]
[7,5,4,6,3,1,2]=>([(2,6),(3,6),(4,5)],7)=>[2,2,1,1,1]
[7,5,4,6,3,2,1]=>([(4,6),(5,6)],7)=>[2,1,1,1,1,1]
[7,5,6,1,2,3,4]=>([(1,6),(2,4),(5,3),(6,5)],7)=>[4,2,1]
[7,5,6,1,2,4,3]=>([(1,5),(2,6),(6,3),(6,4)],7)=>[3,2,1,1]
[7,5,6,1,3,2,4]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
[7,5,6,1,3,4,2]=>([(1,5),(2,4),(2,6),(6,3)],7)=>[3,2,1,1]
[7,5,6,1,4,2,3]=>([(1,5),(2,4),(2,6),(6,3)],7)=>[3,2,1,1]
[7,5,6,1,4,3,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>[2,2,1,1,1]
[7,5,6,2,1,3,4]=>([(1,6),(2,6),(3,4),(6,5)],7)=>[3,2,1,1]
[7,5,6,2,1,4,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>[2,2,2,1]
[7,5,6,2,3,1,4]=>([(1,6),(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[7,5,6,2,3,4,1]=>([(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[7,5,6,2,4,1,3]=>([(1,6),(2,5),(3,4),(3,6)],7)=>[2,2,2,1]
[7,5,6,2,4,3,1]=>([(2,6),(3,4),(3,5)],7)=>[2,2,1,1,1]
[7,5,6,3,1,2,4]=>([(1,6),(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[7,5,6,3,1,4,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>[2,2,2,1]
[7,5,6,3,2,1,4]=>([(1,6),(2,6),(3,6),(4,5)],7)=>[2,2,1,1,1]
[7,5,6,3,2,4,1]=>([(2,6),(3,6),(4,5)],7)=>[2,2,1,1,1]
[7,5,6,3,4,1,2]=>([(1,6),(2,5),(3,4)],7)=>[2,2,2,1]
[7,5,6,3,4,2,1]=>([(3,6),(4,5)],7)=>[2,2,1,1,1]
[7,5,6,4,1,2,3]=>([(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[7,5,6,4,1,3,2]=>([(2,6),(3,4),(3,5)],7)=>[2,2,1,1,1]
[7,5,6,4,2,1,3]=>([(2,6),(3,6),(4,5)],7)=>[2,2,1,1,1]
[7,5,6,4,2,3,1]=>([(3,6),(4,5)],7)=>[2,2,1,1,1]
[7,5,6,4,3,1,2]=>([(3,6),(4,5)],7)=>[2,2,1,1,1]
[7,5,6,4,3,2,1]=>([(5,6)],7)=>[2,1,1,1,1,1]
[7,6,1,2,3,4,5]=>([(2,6),(4,5),(5,3),(6,4)],7)=>[5,1,1]
[7,6,1,2,3,5,4]=>([(2,5),(5,6),(6,3),(6,4)],7)=>[4,1,1,1]
[7,6,1,2,4,3,5]=>([(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[7,6,1,2,4,5,3]=>([(2,6),(5,4),(6,3),(6,5)],7)=>[4,1,1,1]
[7,6,1,2,5,3,4]=>([(2,6),(5,4),(6,3),(6,5)],7)=>[4,1,1,1]
[7,6,1,2,5,4,3]=>([(2,6),(6,3),(6,4),(6,5)],7)=>[3,1,1,1,1]
[7,6,1,3,2,4,5]=>([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
[7,6,1,3,2,5,4]=>([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,6,1,3,4,2,5]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[7,6,1,3,4,5,2]=>([(2,4),(2,6),(5,3),(6,5)],7)=>[4,1,1,1]
[7,6,1,3,5,2,4]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,6,1,3,5,4,2]=>([(2,5),(2,6),(6,3),(6,4)],7)=>[3,1,1,1,1]
[7,6,1,4,2,3,5]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
[7,6,1,4,2,5,3]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
[7,6,1,4,3,2,5]=>([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,6,1,4,3,5,2]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,6,1,4,5,2,3]=>([(2,5),(2,6),(5,4),(6,3)],7)=>[3,2,1,1]
[7,6,1,4,5,3,2]=>([(2,4),(2,5),(2,6),(6,3)],7)=>[3,1,1,1,1]
[7,6,1,5,2,3,4]=>([(2,4),(2,6),(5,3),(6,5)],7)=>[4,1,1,1]
[7,6,1,5,2,4,3]=>([(2,5),(2,6),(6,3),(6,4)],7)=>[3,1,1,1,1]
[7,6,1,5,3,2,4]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,6,1,5,3,4,2]=>([(2,4),(2,5),(2,6),(6,3)],7)=>[3,1,1,1,1]
[7,6,1,5,4,2,3]=>([(2,4),(2,5),(2,6),(6,3)],7)=>[3,1,1,1,1]
[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>[2,1,1,1,1,1]
[7,6,2,1,3,4,5]=>([(2,6),(3,6),(4,5),(6,4)],7)=>[4,1,1,1]
[7,6,2,1,3,5,4]=>([(2,6),(3,6),(6,4),(6,5)],7)=>[3,2,1,1]
[7,6,2,1,4,3,5]=>([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[7,6,2,1,4,5,3]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[7,6,2,1,5,3,4]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
[7,6,2,1,5,4,3]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
[7,6,2,3,1,4,5]=>([(2,6),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[7,6,2,3,1,5,4]=>([(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[7,6,2,3,4,1,5]=>([(2,6),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
[7,6,2,3,4,5,1]=>([(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[7,6,2,3,5,1,4]=>([(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[7,6,2,3,5,4,1]=>([(3,4),(4,5),(4,6)],7)=>[3,1,1,1,1]
[7,6,2,4,1,3,5]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[7,6,2,4,1,5,3]=>([(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[7,6,2,4,3,1,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,6,2,4,3,5,1]=>([(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,6,2,4,5,1,3]=>([(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[7,6,2,4,5,3,1]=>([(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
[7,6,2,5,1,3,4]=>([(2,6),(3,4),(3,6),(6,5)],7)=>[3,2,1,1]
[7,6,2,5,1,4,3]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
[7,6,2,5,3,1,4]=>([(2,6),(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
[7,6,2,5,3,4,1]=>([(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
[7,6,2,5,4,1,3]=>([(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
[7,6,2,5,4,3,1]=>([(3,4),(3,5),(3,6)],7)=>[2,1,1,1,1,1]
[7,6,3,1,2,4,5]=>([(2,6),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[7,6,3,1,2,5,4]=>([(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[7,6,3,1,4,2,5]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
[7,6,3,1,4,5,2]=>([(2,6),(3,4),(3,6),(6,5)],7)=>[3,2,1,1]
[7,6,3,1,5,2,4]=>([(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
[7,6,3,1,5,4,2]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
[7,6,3,2,1,4,5]=>([(2,6),(3,6),(4,6),(6,5)],7)=>[3,1,1,1,1]
[7,6,3,2,1,5,4]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,6,3,2,4,1,5]=>([(2,6),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,6,3,2,4,5,1]=>([(3,6),(4,6),(6,5)],7)=>[3,1,1,1,1]
[7,6,3,2,5,1,4]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,6,3,2,5,4,1]=>([(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,6,3,4,1,2,5]=>([(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
[7,6,3,4,1,5,2]=>([(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[7,6,3,4,2,1,5]=>([(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,6,3,4,2,5,1]=>([(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,6,3,4,5,1,2]=>([(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[7,6,3,4,5,2,1]=>([(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,6,3,5,1,2,4]=>([(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
[7,6,3,5,1,4,2]=>([(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,1,1,1]
[7,6,3,5,2,1,4]=>([(2,6),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,6,3,5,2,4,1]=>([(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,6,3,5,4,1,2]=>([(2,6),(3,4),(3,5)],7)=>[2,2,1,1,1]
[7,6,3,5,4,2,1]=>([(4,5),(4,6)],7)=>[2,1,1,1,1,1]
[7,6,4,1,2,3,5]=>([(2,6),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
[7,6,4,1,2,5,3]=>([(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
[7,6,4,1,3,2,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,6,4,1,3,5,2]=>([(2,6),(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
[7,6,4,1,5,2,3]=>([(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
[7,6,4,1,5,3,2]=>([(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
[7,6,4,2,1,3,5]=>([(2,6),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,6,4,2,1,5,3]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,6,4,2,3,1,5]=>([(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,6,4,2,3,5,1]=>([(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,6,4,2,5,1,3]=>([(2,6),(3,5),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,6,4,2,5,3,1]=>([(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,6,4,3,1,2,5]=>([(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,6,4,3,1,5,2]=>([(2,6),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,6,4,3,2,1,5]=>([(2,6),(3,6),(4,6),(5,6)],7)=>[2,1,1,1,1,1]
[7,6,4,3,2,5,1]=>([(3,6),(4,6),(5,6)],7)=>[2,1,1,1,1,1]
[7,6,4,3,5,1,2]=>([(2,6),(3,6),(4,5)],7)=>[2,2,1,1,1]
[7,6,4,3,5,2,1]=>([(4,6),(5,6)],7)=>[2,1,1,1,1,1]
[7,6,4,5,1,2,3]=>([(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
[7,6,4,5,1,3,2]=>([(2,6),(3,4),(3,5)],7)=>[2,2,1,1,1]
[7,6,4,5,2,1,3]=>([(2,6),(3,6),(4,5)],7)=>[2,2,1,1,1]
[7,6,4,5,2,3,1]=>([(3,6),(4,5)],7)=>[2,2,1,1,1]
[7,6,4,5,3,1,2]=>([(3,6),(4,5)],7)=>[2,2,1,1,1]
[7,6,4,5,3,2,1]=>([(5,6)],7)=>[2,1,1,1,1,1]
[7,6,5,1,2,3,4]=>([(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
[7,6,5,1,2,4,3]=>([(3,4),(4,5),(4,6)],7)=>[3,1,1,1,1]
[7,6,5,1,3,2,4]=>([(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[7,6,5,1,3,4,2]=>([(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
[7,6,5,1,4,2,3]=>([(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
[7,6,5,1,4,3,2]=>([(3,4),(3,5),(3,6)],7)=>[2,1,1,1,1,1]
[7,6,5,2,1,3,4]=>([(3,6),(4,6),(6,5)],7)=>[3,1,1,1,1]
[7,6,5,2,1,4,3]=>([(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,6,5,2,3,1,4]=>([(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,6,5,2,3,4,1]=>([(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,6,5,2,4,1,3]=>([(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,6,5,2,4,3,1]=>([(4,5),(4,6)],7)=>[2,1,1,1,1,1]
[7,6,5,3,1,2,4]=>([(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,6,5,3,1,4,2]=>([(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
[7,6,5,3,2,1,4]=>([(3,6),(4,6),(5,6)],7)=>[2,1,1,1,1,1]
[7,6,5,3,2,4,1]=>([(4,6),(5,6)],7)=>[2,1,1,1,1,1]
[7,6,5,3,4,1,2]=>([(3,6),(4,5)],7)=>[2,2,1,1,1]
[7,6,5,3,4,2,1]=>([(5,6)],7)=>[2,1,1,1,1,1]
[7,6,5,4,1,2,3]=>([(4,5),(5,6)],7)=>[3,1,1,1,1]
[7,6,5,4,1,3,2]=>([(4,5),(4,6)],7)=>[2,1,1,1,1,1]
[7,6,5,4,2,1,3]=>([(4,6),(5,6)],7)=>[2,1,1,1,1,1]
[7,6,5,4,2,3,1]=>([(5,6)],7)=>[2,1,1,1,1,1]
[7,6,5,4,3,1,2]=>([(5,6)],7)=>[2,1,1,1,1,1]
[7,6,5,4,3,2,1]=>([],7)=>[1,1,1,1,1,1,1]
Map
permutation poset
Description
Sends a permutation to its permutation poset.
For a permutation $\pi$ of length $n$, this poset has vertices
$$\{ (i,\pi(i))\ :\ 1 \leq i \leq n \}$$
and the cover relation is given by $(w, x) \leq (y, z)$ if $w \leq y$ and $x \leq z$.
For example, the permutation $[3,1,5,4,2]$ is mapped to the poset with cover relations
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$
For a permutation $\pi$ of length $n$, this poset has vertices
$$\{ (i,\pi(i))\ :\ 1 \leq i \leq n \}$$
and the cover relation is given by $(w, x) \leq (y, z)$ if $w \leq y$ and $x \leq z$.
For example, the permutation $[3,1,5,4,2]$ is mapped to the poset with cover relations
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$
Map
Greene-Kleitman invariant
Description
The Greene-Kleitman invariant of a poset.
This is the partition $(c_1 - c_0, c_2 - c_1, c_3 - c_2, \ldots)$, where $c_k$ is the maximum cardinality of a union of $k$ chains of the poset. Equivalently, this is the conjugate of the partition $(a_1 - a_0, a_2 - a_1, a_3 - a_2, \ldots)$, where $a_k$ is the maximum cardinality of a union of $k$ antichains of the poset.
This is the partition $(c_1 - c_0, c_2 - c_1, c_3 - c_2, \ldots)$, where $c_k$ is the maximum cardinality of a union of $k$ chains of the poset. Equivalently, this is the conjugate of the partition $(a_1 - a_0, a_2 - a_1, a_3 - a_2, \ldots)$, where $a_k$ is the maximum cardinality of a union of $k$ antichains of the poset.
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