Identifier
-
Mp00071:
Permutations
—descent composition⟶
Integer compositions
Mp00180: Integer compositions —to ribbon⟶ Skew partitions
Mp00185: Skew partitions —cell poset⟶ Posets
St000100: Posets ⟶ ℤ
Values
=>
Cc0028;cc-rep-2
Cc0014;cc-rep
[1,2]=>[2]=>[[2],[]]=>([(0,1)],2)=>1
[2,1]=>[1,1]=>[[1,1],[]]=>([(0,1)],2)=>1
[1,2,3]=>[3]=>[[3],[]]=>([(0,2),(2,1)],3)=>1
[1,3,2]=>[2,1]=>[[2,2],[1]]=>([(0,2),(1,2)],3)=>2
[2,1,3]=>[1,2]=>[[2,1],[]]=>([(0,1),(0,2)],3)=>2
[2,3,1]=>[2,1]=>[[2,2],[1]]=>([(0,2),(1,2)],3)=>2
[3,1,2]=>[1,2]=>[[2,1],[]]=>([(0,1),(0,2)],3)=>2
[3,2,1]=>[1,1,1]=>[[1,1,1],[]]=>([(0,2),(2,1)],3)=>1
[1,2,3,4]=>[4]=>[[4],[]]=>([(0,3),(2,1),(3,2)],4)=>1
[1,2,4,3]=>[3,1]=>[[3,3],[2]]=>([(0,3),(1,2),(2,3)],4)=>3
[1,3,2,4]=>[2,2]=>[[3,2],[1]]=>([(0,3),(1,2),(1,3)],4)=>5
[1,3,4,2]=>[3,1]=>[[3,3],[2]]=>([(0,3),(1,2),(2,3)],4)=>3
[1,4,2,3]=>[2,2]=>[[3,2],[1]]=>([(0,3),(1,2),(1,3)],4)=>5
[1,4,3,2]=>[2,1,1]=>[[2,2,2],[1,1]]=>([(0,3),(1,2),(2,3)],4)=>3
[2,1,3,4]=>[1,3]=>[[3,1],[]]=>([(0,2),(0,3),(3,1)],4)=>3
[2,1,4,3]=>[1,2,1]=>[[2,2,1],[1]]=>([(0,3),(1,2),(1,3)],4)=>5
[2,3,1,4]=>[2,2]=>[[3,2],[1]]=>([(0,3),(1,2),(1,3)],4)=>5
[2,3,4,1]=>[3,1]=>[[3,3],[2]]=>([(0,3),(1,2),(2,3)],4)=>3
[2,4,1,3]=>[2,2]=>[[3,2],[1]]=>([(0,3),(1,2),(1,3)],4)=>5
[2,4,3,1]=>[2,1,1]=>[[2,2,2],[1,1]]=>([(0,3),(1,2),(2,3)],4)=>3
[3,1,2,4]=>[1,3]=>[[3,1],[]]=>([(0,2),(0,3),(3,1)],4)=>3
[3,1,4,2]=>[1,2,1]=>[[2,2,1],[1]]=>([(0,3),(1,2),(1,3)],4)=>5
[3,2,1,4]=>[1,1,2]=>[[2,1,1],[]]=>([(0,2),(0,3),(3,1)],4)=>3
[3,2,4,1]=>[1,2,1]=>[[2,2,1],[1]]=>([(0,3),(1,2),(1,3)],4)=>5
[3,4,1,2]=>[2,2]=>[[3,2],[1]]=>([(0,3),(1,2),(1,3)],4)=>5
[3,4,2,1]=>[2,1,1]=>[[2,2,2],[1,1]]=>([(0,3),(1,2),(2,3)],4)=>3
[4,1,2,3]=>[1,3]=>[[3,1],[]]=>([(0,2),(0,3),(3,1)],4)=>3
[4,1,3,2]=>[1,2,1]=>[[2,2,1],[1]]=>([(0,3),(1,2),(1,3)],4)=>5
[4,2,1,3]=>[1,1,2]=>[[2,1,1],[]]=>([(0,2),(0,3),(3,1)],4)=>3
[4,2,3,1]=>[1,2,1]=>[[2,2,1],[1]]=>([(0,3),(1,2),(1,3)],4)=>5
[4,3,1,2]=>[1,1,2]=>[[2,1,1],[]]=>([(0,2),(0,3),(3,1)],4)=>3
[4,3,2,1]=>[1,1,1,1]=>[[1,1,1,1],[]]=>([(0,3),(2,1),(3,2)],4)=>1
[1,2,3,4,5]=>[5]=>[[5],[]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>1
[1,2,3,5,4]=>[4,1]=>[[4,4],[3]]=>([(0,4),(1,2),(2,3),(3,4)],5)=>4
[1,2,4,3,5]=>[3,2]=>[[4,3],[2]]=>([(0,3),(1,2),(1,4),(3,4)],5)=>9
[1,2,4,5,3]=>[4,1]=>[[4,4],[3]]=>([(0,4),(1,2),(2,3),(3,4)],5)=>4
[1,2,5,3,4]=>[3,2]=>[[4,3],[2]]=>([(0,3),(1,2),(1,4),(3,4)],5)=>9
[1,2,5,4,3]=>[3,1,1]=>[[3,3,3],[2,2]]=>([(0,3),(1,2),(2,4),(3,4)],5)=>6
[1,3,2,4,5]=>[2,3]=>[[4,2],[1]]=>([(0,4),(1,2),(1,4),(2,3)],5)=>9
[1,3,2,5,4]=>[2,2,1]=>[[3,3,2],[2,1]]=>([(0,4),(1,3),(2,3),(2,4)],5)=>16
[1,3,4,2,5]=>[3,2]=>[[4,3],[2]]=>([(0,3),(1,2),(1,4),(3,4)],5)=>9
[1,3,4,5,2]=>[4,1]=>[[4,4],[3]]=>([(0,4),(1,2),(2,3),(3,4)],5)=>4
[1,3,5,2,4]=>[3,2]=>[[4,3],[2]]=>([(0,3),(1,2),(1,4),(3,4)],5)=>9
[1,3,5,4,2]=>[3,1,1]=>[[3,3,3],[2,2]]=>([(0,3),(1,2),(2,4),(3,4)],5)=>6
[1,4,2,3,5]=>[2,3]=>[[4,2],[1]]=>([(0,4),(1,2),(1,4),(2,3)],5)=>9
[1,4,2,5,3]=>[2,2,1]=>[[3,3,2],[2,1]]=>([(0,4),(1,3),(2,3),(2,4)],5)=>16
[1,4,3,2,5]=>[2,1,2]=>[[3,2,2],[1,1]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>11
[1,4,3,5,2]=>[2,2,1]=>[[3,3,2],[2,1]]=>([(0,4),(1,3),(2,3),(2,4)],5)=>16
[1,4,5,2,3]=>[3,2]=>[[4,3],[2]]=>([(0,3),(1,2),(1,4),(3,4)],5)=>9
[1,4,5,3,2]=>[3,1,1]=>[[3,3,3],[2,2]]=>([(0,3),(1,2),(2,4),(3,4)],5)=>6
[1,5,2,3,4]=>[2,3]=>[[4,2],[1]]=>([(0,4),(1,2),(1,4),(2,3)],5)=>9
[1,5,2,4,3]=>[2,2,1]=>[[3,3,2],[2,1]]=>([(0,4),(1,3),(2,3),(2,4)],5)=>16
[1,5,3,2,4]=>[2,1,2]=>[[3,2,2],[1,1]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>11
[1,5,3,4,2]=>[2,2,1]=>[[3,3,2],[2,1]]=>([(0,4),(1,3),(2,3),(2,4)],5)=>16
[1,5,4,2,3]=>[2,1,2]=>[[3,2,2],[1,1]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>11
[1,5,4,3,2]=>[2,1,1,1]=>[[2,2,2,2],[1,1,1]]=>([(0,4),(1,2),(2,3),(3,4)],5)=>4
[2,1,3,4,5]=>[1,4]=>[[4,1],[]]=>([(0,2),(0,4),(3,1),(4,3)],5)=>4
[2,1,3,5,4]=>[1,3,1]=>[[3,3,1],[2]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>11
[2,1,4,3,5]=>[1,2,2]=>[[3,2,1],[1]]=>([(0,3),(0,4),(1,2),(1,4)],5)=>16
[2,1,4,5,3]=>[1,3,1]=>[[3,3,1],[2]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>11
[2,1,5,3,4]=>[1,2,2]=>[[3,2,1],[1]]=>([(0,3),(0,4),(1,2),(1,4)],5)=>16
[2,1,5,4,3]=>[1,2,1,1]=>[[2,2,2,1],[1,1]]=>([(0,3),(1,2),(1,4),(3,4)],5)=>9
[2,3,1,4,5]=>[2,3]=>[[4,2],[1]]=>([(0,4),(1,2),(1,4),(2,3)],5)=>9
[2,3,1,5,4]=>[2,2,1]=>[[3,3,2],[2,1]]=>([(0,4),(1,3),(2,3),(2,4)],5)=>16
[2,3,4,1,5]=>[3,2]=>[[4,3],[2]]=>([(0,3),(1,2),(1,4),(3,4)],5)=>9
[2,3,4,5,1]=>[4,1]=>[[4,4],[3]]=>([(0,4),(1,2),(2,3),(3,4)],5)=>4
[2,3,5,1,4]=>[3,2]=>[[4,3],[2]]=>([(0,3),(1,2),(1,4),(3,4)],5)=>9
[2,3,5,4,1]=>[3,1,1]=>[[3,3,3],[2,2]]=>([(0,3),(1,2),(2,4),(3,4)],5)=>6
[2,4,1,3,5]=>[2,3]=>[[4,2],[1]]=>([(0,4),(1,2),(1,4),(2,3)],5)=>9
[2,4,1,5,3]=>[2,2,1]=>[[3,3,2],[2,1]]=>([(0,4),(1,3),(2,3),(2,4)],5)=>16
[2,4,3,1,5]=>[2,1,2]=>[[3,2,2],[1,1]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>11
[2,4,3,5,1]=>[2,2,1]=>[[3,3,2],[2,1]]=>([(0,4),(1,3),(2,3),(2,4)],5)=>16
[2,4,5,1,3]=>[3,2]=>[[4,3],[2]]=>([(0,3),(1,2),(1,4),(3,4)],5)=>9
[2,4,5,3,1]=>[3,1,1]=>[[3,3,3],[2,2]]=>([(0,3),(1,2),(2,4),(3,4)],5)=>6
[2,5,1,3,4]=>[2,3]=>[[4,2],[1]]=>([(0,4),(1,2),(1,4),(2,3)],5)=>9
[2,5,1,4,3]=>[2,2,1]=>[[3,3,2],[2,1]]=>([(0,4),(1,3),(2,3),(2,4)],5)=>16
[2,5,3,1,4]=>[2,1,2]=>[[3,2,2],[1,1]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>11
[2,5,3,4,1]=>[2,2,1]=>[[3,3,2],[2,1]]=>([(0,4),(1,3),(2,3),(2,4)],5)=>16
[2,5,4,1,3]=>[2,1,2]=>[[3,2,2],[1,1]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>11
[2,5,4,3,1]=>[2,1,1,1]=>[[2,2,2,2],[1,1,1]]=>([(0,4),(1,2),(2,3),(3,4)],5)=>4
[3,1,2,4,5]=>[1,4]=>[[4,1],[]]=>([(0,2),(0,4),(3,1),(4,3)],5)=>4
[3,1,2,5,4]=>[1,3,1]=>[[3,3,1],[2]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>11
[3,1,4,2,5]=>[1,2,2]=>[[3,2,1],[1]]=>([(0,3),(0,4),(1,2),(1,4)],5)=>16
[3,1,4,5,2]=>[1,3,1]=>[[3,3,1],[2]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>11
[3,1,5,2,4]=>[1,2,2]=>[[3,2,1],[1]]=>([(0,3),(0,4),(1,2),(1,4)],5)=>16
[3,1,5,4,2]=>[1,2,1,1]=>[[2,2,2,1],[1,1]]=>([(0,3),(1,2),(1,4),(3,4)],5)=>9
[3,2,1,4,5]=>[1,1,3]=>[[3,1,1],[]]=>([(0,3),(0,4),(3,2),(4,1)],5)=>6
[3,2,1,5,4]=>[1,1,2,1]=>[[2,2,1,1],[1]]=>([(0,4),(1,2),(1,4),(2,3)],5)=>9
[3,2,4,1,5]=>[1,2,2]=>[[3,2,1],[1]]=>([(0,3),(0,4),(1,2),(1,4)],5)=>16
[3,2,4,5,1]=>[1,3,1]=>[[3,3,1],[2]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>11
[3,2,5,1,4]=>[1,2,2]=>[[3,2,1],[1]]=>([(0,3),(0,4),(1,2),(1,4)],5)=>16
[3,2,5,4,1]=>[1,2,1,1]=>[[2,2,2,1],[1,1]]=>([(0,3),(1,2),(1,4),(3,4)],5)=>9
[3,4,1,2,5]=>[2,3]=>[[4,2],[1]]=>([(0,4),(1,2),(1,4),(2,3)],5)=>9
[3,4,1,5,2]=>[2,2,1]=>[[3,3,2],[2,1]]=>([(0,4),(1,3),(2,3),(2,4)],5)=>16
[3,4,2,1,5]=>[2,1,2]=>[[3,2,2],[1,1]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>11
[3,4,2,5,1]=>[2,2,1]=>[[3,3,2],[2,1]]=>([(0,4),(1,3),(2,3),(2,4)],5)=>16
[3,4,5,1,2]=>[3,2]=>[[4,3],[2]]=>([(0,3),(1,2),(1,4),(3,4)],5)=>9
[3,4,5,2,1]=>[3,1,1]=>[[3,3,3],[2,2]]=>([(0,3),(1,2),(2,4),(3,4)],5)=>6
[3,5,1,2,4]=>[2,3]=>[[4,2],[1]]=>([(0,4),(1,2),(1,4),(2,3)],5)=>9
[3,5,1,4,2]=>[2,2,1]=>[[3,3,2],[2,1]]=>([(0,4),(1,3),(2,3),(2,4)],5)=>16
[3,5,2,1,4]=>[2,1,2]=>[[3,2,2],[1,1]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>11
[3,5,2,4,1]=>[2,2,1]=>[[3,3,2],[2,1]]=>([(0,4),(1,3),(2,3),(2,4)],5)=>16
[3,5,4,1,2]=>[2,1,2]=>[[3,2,2],[1,1]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>11
[3,5,4,2,1]=>[2,1,1,1]=>[[2,2,2,2],[1,1,1]]=>([(0,4),(1,2),(2,3),(3,4)],5)=>4
[4,1,2,3,5]=>[1,4]=>[[4,1],[]]=>([(0,2),(0,4),(3,1),(4,3)],5)=>4
[4,1,2,5,3]=>[1,3,1]=>[[3,3,1],[2]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>11
[4,1,3,2,5]=>[1,2,2]=>[[3,2,1],[1]]=>([(0,3),(0,4),(1,2),(1,4)],5)=>16
[4,1,3,5,2]=>[1,3,1]=>[[3,3,1],[2]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>11
[4,1,5,2,3]=>[1,2,2]=>[[3,2,1],[1]]=>([(0,3),(0,4),(1,2),(1,4)],5)=>16
[4,1,5,3,2]=>[1,2,1,1]=>[[2,2,2,1],[1,1]]=>([(0,3),(1,2),(1,4),(3,4)],5)=>9
[4,2,1,3,5]=>[1,1,3]=>[[3,1,1],[]]=>([(0,3),(0,4),(3,2),(4,1)],5)=>6
[4,2,1,5,3]=>[1,1,2,1]=>[[2,2,1,1],[1]]=>([(0,4),(1,2),(1,4),(2,3)],5)=>9
[4,2,3,1,5]=>[1,2,2]=>[[3,2,1],[1]]=>([(0,3),(0,4),(1,2),(1,4)],5)=>16
[4,2,3,5,1]=>[1,3,1]=>[[3,3,1],[2]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>11
[4,2,5,1,3]=>[1,2,2]=>[[3,2,1],[1]]=>([(0,3),(0,4),(1,2),(1,4)],5)=>16
[4,2,5,3,1]=>[1,2,1,1]=>[[2,2,2,1],[1,1]]=>([(0,3),(1,2),(1,4),(3,4)],5)=>9
[4,3,1,2,5]=>[1,1,3]=>[[3,1,1],[]]=>([(0,3),(0,4),(3,2),(4,1)],5)=>6
[4,3,1,5,2]=>[1,1,2,1]=>[[2,2,1,1],[1]]=>([(0,4),(1,2),(1,4),(2,3)],5)=>9
[4,3,2,1,5]=>[1,1,1,2]=>[[2,1,1,1],[]]=>([(0,2),(0,4),(3,1),(4,3)],5)=>4
[4,3,2,5,1]=>[1,1,2,1]=>[[2,2,1,1],[1]]=>([(0,4),(1,2),(1,4),(2,3)],5)=>9
[4,3,5,1,2]=>[1,2,2]=>[[3,2,1],[1]]=>([(0,3),(0,4),(1,2),(1,4)],5)=>16
[4,3,5,2,1]=>[1,2,1,1]=>[[2,2,2,1],[1,1]]=>([(0,3),(1,2),(1,4),(3,4)],5)=>9
[4,5,1,2,3]=>[2,3]=>[[4,2],[1]]=>([(0,4),(1,2),(1,4),(2,3)],5)=>9
[4,5,1,3,2]=>[2,2,1]=>[[3,3,2],[2,1]]=>([(0,4),(1,3),(2,3),(2,4)],5)=>16
[4,5,2,1,3]=>[2,1,2]=>[[3,2,2],[1,1]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>11
[4,5,2,3,1]=>[2,2,1]=>[[3,3,2],[2,1]]=>([(0,4),(1,3),(2,3),(2,4)],5)=>16
[4,5,3,1,2]=>[2,1,2]=>[[3,2,2],[1,1]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>11
[4,5,3,2,1]=>[2,1,1,1]=>[[2,2,2,2],[1,1,1]]=>([(0,4),(1,2),(2,3),(3,4)],5)=>4
[5,1,2,3,4]=>[1,4]=>[[4,1],[]]=>([(0,2),(0,4),(3,1),(4,3)],5)=>4
[5,1,2,4,3]=>[1,3,1]=>[[3,3,1],[2]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>11
[5,1,3,2,4]=>[1,2,2]=>[[3,2,1],[1]]=>([(0,3),(0,4),(1,2),(1,4)],5)=>16
[5,1,3,4,2]=>[1,3,1]=>[[3,3,1],[2]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>11
[5,1,4,2,3]=>[1,2,2]=>[[3,2,1],[1]]=>([(0,3),(0,4),(1,2),(1,4)],5)=>16
[5,1,4,3,2]=>[1,2,1,1]=>[[2,2,2,1],[1,1]]=>([(0,3),(1,2),(1,4),(3,4)],5)=>9
[5,2,1,3,4]=>[1,1,3]=>[[3,1,1],[]]=>([(0,3),(0,4),(3,2),(4,1)],5)=>6
[5,2,1,4,3]=>[1,1,2,1]=>[[2,2,1,1],[1]]=>([(0,4),(1,2),(1,4),(2,3)],5)=>9
[5,2,3,1,4]=>[1,2,2]=>[[3,2,1],[1]]=>([(0,3),(0,4),(1,2),(1,4)],5)=>16
[5,2,3,4,1]=>[1,3,1]=>[[3,3,1],[2]]=>([(0,4),(1,2),(1,3),(3,4)],5)=>11
[5,2,4,1,3]=>[1,2,2]=>[[3,2,1],[1]]=>([(0,3),(0,4),(1,2),(1,4)],5)=>16
[5,2,4,3,1]=>[1,2,1,1]=>[[2,2,2,1],[1,1]]=>([(0,3),(1,2),(1,4),(3,4)],5)=>9
[5,3,1,2,4]=>[1,1,3]=>[[3,1,1],[]]=>([(0,3),(0,4),(3,2),(4,1)],5)=>6
[5,3,1,4,2]=>[1,1,2,1]=>[[2,2,1,1],[1]]=>([(0,4),(1,2),(1,4),(2,3)],5)=>9
[5,3,2,1,4]=>[1,1,1,2]=>[[2,1,1,1],[]]=>([(0,2),(0,4),(3,1),(4,3)],5)=>4
[5,3,2,4,1]=>[1,1,2,1]=>[[2,2,1,1],[1]]=>([(0,4),(1,2),(1,4),(2,3)],5)=>9
[5,3,4,1,2]=>[1,2,2]=>[[3,2,1],[1]]=>([(0,3),(0,4),(1,2),(1,4)],5)=>16
[5,3,4,2,1]=>[1,2,1,1]=>[[2,2,2,1],[1,1]]=>([(0,3),(1,2),(1,4),(3,4)],5)=>9
[5,4,1,2,3]=>[1,1,3]=>[[3,1,1],[]]=>([(0,3),(0,4),(3,2),(4,1)],5)=>6
[5,4,1,3,2]=>[1,1,2,1]=>[[2,2,1,1],[1]]=>([(0,4),(1,2),(1,4),(2,3)],5)=>9
[5,4,2,1,3]=>[1,1,1,2]=>[[2,1,1,1],[]]=>([(0,2),(0,4),(3,1),(4,3)],5)=>4
[5,4,2,3,1]=>[1,1,2,1]=>[[2,2,1,1],[1]]=>([(0,4),(1,2),(1,4),(2,3)],5)=>9
[5,4,3,1,2]=>[1,1,1,2]=>[[2,1,1,1],[]]=>([(0,2),(0,4),(3,1),(4,3)],5)=>4
[5,4,3,2,1]=>[1,1,1,1,1]=>[[1,1,1,1,1],[]]=>([(0,4),(2,3),(3,1),(4,2)],5)=>1
[1,2,3,4,5,6]=>[6]=>[[6],[]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>1
[1,2,3,4,6,5]=>[5,1]=>[[5,5],[4]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>5
[1,2,3,5,4,6]=>[4,2]=>[[5,4],[3]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[1,2,3,5,6,4]=>[5,1]=>[[5,5],[4]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>5
[1,2,3,6,4,5]=>[4,2]=>[[5,4],[3]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[1,2,3,6,5,4]=>[4,1,1]=>[[4,4,4],[3,3]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>10
[1,2,4,3,5,6]=>[3,3]=>[[5,3],[2]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[1,2,4,3,6,5]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,2,4,5,3,6]=>[4,2]=>[[5,4],[3]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[1,2,4,5,6,3]=>[5,1]=>[[5,5],[4]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>5
[1,2,4,6,3,5]=>[4,2]=>[[5,4],[3]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[1,2,4,6,5,3]=>[4,1,1]=>[[4,4,4],[3,3]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>10
[1,2,5,3,4,6]=>[3,3]=>[[5,3],[2]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[1,2,5,3,6,4]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,2,5,4,3,6]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[1,2,5,4,6,3]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,2,5,6,3,4]=>[4,2]=>[[5,4],[3]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[1,2,5,6,4,3]=>[4,1,1]=>[[4,4,4],[3,3]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>10
[1,2,6,3,4,5]=>[3,3]=>[[5,3],[2]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[1,2,6,3,5,4]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,2,6,4,3,5]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[1,2,6,4,5,3]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,2,6,5,3,4]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[1,2,6,5,4,3]=>[3,1,1,1]=>[[3,3,3,3],[2,2,2]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>10
[1,3,2,4,5,6]=>[2,4]=>[[5,2],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[1,3,2,4,6,5]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[1,3,2,5,4,6]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[1,3,2,5,6,4]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[1,3,2,6,4,5]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[1,3,2,6,5,4]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,3,4,2,5,6]=>[3,3]=>[[5,3],[2]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[1,3,4,2,6,5]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,3,4,5,2,6]=>[4,2]=>[[5,4],[3]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[1,3,4,5,6,2]=>[5,1]=>[[5,5],[4]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>5
[1,3,4,6,2,5]=>[4,2]=>[[5,4],[3]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[1,3,4,6,5,2]=>[4,1,1]=>[[4,4,4],[3,3]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>10
[1,3,5,2,4,6]=>[3,3]=>[[5,3],[2]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[1,3,5,2,6,4]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,3,5,4,2,6]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[1,3,5,4,6,2]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,3,5,6,2,4]=>[4,2]=>[[5,4],[3]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[1,3,5,6,4,2]=>[4,1,1]=>[[4,4,4],[3,3]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>10
[1,3,6,2,4,5]=>[3,3]=>[[5,3],[2]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[1,3,6,2,5,4]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,3,6,4,2,5]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[1,3,6,4,5,2]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,3,6,5,2,4]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[1,3,6,5,4,2]=>[3,1,1,1]=>[[3,3,3,3],[2,2,2]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>10
[1,4,2,3,5,6]=>[2,4]=>[[5,2],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[1,4,2,3,6,5]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[1,4,2,5,3,6]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[1,4,2,5,6,3]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[1,4,2,6,3,5]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[1,4,2,6,5,3]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,4,3,2,5,6]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[1,4,3,2,6,5]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[1,4,3,5,2,6]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[1,4,3,5,6,2]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[1,4,3,6,2,5]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[1,4,3,6,5,2]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,4,5,2,3,6]=>[3,3]=>[[5,3],[2]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[1,4,5,2,6,3]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,4,5,3,2,6]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[1,4,5,3,6,2]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,4,5,6,2,3]=>[4,2]=>[[5,4],[3]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[1,4,5,6,3,2]=>[4,1,1]=>[[4,4,4],[3,3]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>10
[1,4,6,2,3,5]=>[3,3]=>[[5,3],[2]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[1,4,6,2,5,3]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,4,6,3,2,5]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[1,4,6,3,5,2]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,4,6,5,2,3]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[1,4,6,5,3,2]=>[3,1,1,1]=>[[3,3,3,3],[2,2,2]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>10
[1,5,2,3,4,6]=>[2,4]=>[[5,2],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[1,5,2,3,6,4]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[1,5,2,4,3,6]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[1,5,2,4,6,3]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[1,5,2,6,3,4]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[1,5,2,6,4,3]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,5,3,2,4,6]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[1,5,3,2,6,4]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[1,5,3,4,2,6]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[1,5,3,4,6,2]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[1,5,3,6,2,4]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[1,5,3,6,4,2]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,5,4,2,3,6]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[1,5,4,2,6,3]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[1,5,4,3,2,6]=>[2,1,1,2]=>[[3,2,2,2],[1,1,1]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[1,5,4,3,6,2]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[1,5,4,6,2,3]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[1,5,4,6,3,2]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,5,6,2,3,4]=>[3,3]=>[[5,3],[2]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[1,5,6,2,4,3]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,5,6,3,2,4]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[1,5,6,3,4,2]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,5,6,4,2,3]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[1,5,6,4,3,2]=>[3,1,1,1]=>[[3,3,3,3],[2,2,2]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>10
[1,6,2,3,4,5]=>[2,4]=>[[5,2],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[1,6,2,3,5,4]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[1,6,2,4,3,5]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[1,6,2,4,5,3]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[1,6,2,5,3,4]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[1,6,2,5,4,3]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,6,3,2,4,5]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[1,6,3,2,5,4]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[1,6,3,4,2,5]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[1,6,3,4,5,2]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[1,6,3,5,2,4]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[1,6,3,5,4,2]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,6,4,2,3,5]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[1,6,4,2,5,3]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[1,6,4,3,2,5]=>[2,1,1,2]=>[[3,2,2,2],[1,1,1]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[1,6,4,3,5,2]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[1,6,4,5,2,3]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[1,6,4,5,3,2]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[1,6,5,2,3,4]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[1,6,5,2,4,3]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[1,6,5,3,2,4]=>[2,1,1,2]=>[[3,2,2,2],[1,1,1]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[1,6,5,3,4,2]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[1,6,5,4,2,3]=>[2,1,1,2]=>[[3,2,2,2],[1,1,1]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[1,6,5,4,3,2]=>[2,1,1,1,1]=>[[2,2,2,2,2],[1,1,1,1]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>5
[2,1,3,4,5,6]=>[1,5]=>[[5,1],[]]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>5
[2,1,3,4,6,5]=>[1,4,1]=>[[4,4,1],[3]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[2,1,3,5,4,6]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[2,1,3,5,6,4]=>[1,4,1]=>[[4,4,1],[3]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[2,1,3,6,4,5]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[2,1,3,6,5,4]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[2,1,4,3,5,6]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[2,1,4,3,6,5]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[2,1,4,5,3,6]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[2,1,4,5,6,3]=>[1,4,1]=>[[4,4,1],[3]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[2,1,4,6,3,5]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[2,1,4,6,5,3]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[2,1,5,3,4,6]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[2,1,5,3,6,4]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[2,1,5,4,3,6]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[2,1,5,4,6,3]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[2,1,5,6,3,4]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[2,1,5,6,4,3]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[2,1,6,3,4,5]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[2,1,6,3,5,4]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[2,1,6,4,3,5]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[2,1,6,4,5,3]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[2,1,6,5,3,4]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[2,1,6,5,4,3]=>[1,2,1,1,1]=>[[2,2,2,2,1],[1,1,1]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[2,3,1,4,5,6]=>[2,4]=>[[5,2],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[2,3,1,4,6,5]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[2,3,1,5,4,6]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[2,3,1,5,6,4]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[2,3,1,6,4,5]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[2,3,1,6,5,4]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[2,3,4,1,5,6]=>[3,3]=>[[5,3],[2]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[2,3,4,1,6,5]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[2,3,4,5,1,6]=>[4,2]=>[[5,4],[3]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[2,3,4,5,6,1]=>[5,1]=>[[5,5],[4]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>5
[2,3,4,6,1,5]=>[4,2]=>[[5,4],[3]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[2,3,4,6,5,1]=>[4,1,1]=>[[4,4,4],[3,3]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>10
[2,3,5,1,4,6]=>[3,3]=>[[5,3],[2]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[2,3,5,1,6,4]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[2,3,5,4,1,6]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[2,3,5,4,6,1]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[2,3,5,6,1,4]=>[4,2]=>[[5,4],[3]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[2,3,5,6,4,1]=>[4,1,1]=>[[4,4,4],[3,3]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>10
[2,3,6,1,4,5]=>[3,3]=>[[5,3],[2]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[2,3,6,1,5,4]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[2,3,6,4,1,5]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[2,3,6,4,5,1]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[2,3,6,5,1,4]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[2,3,6,5,4,1]=>[3,1,1,1]=>[[3,3,3,3],[2,2,2]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>10
[2,4,1,3,5,6]=>[2,4]=>[[5,2],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[2,4,1,3,6,5]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[2,4,1,5,3,6]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[2,4,1,5,6,3]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[2,4,1,6,3,5]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[2,4,1,6,5,3]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[2,4,3,1,5,6]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[2,4,3,1,6,5]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[2,4,3,5,1,6]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[2,4,3,5,6,1]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[2,4,3,6,1,5]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[2,4,3,6,5,1]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[2,4,5,1,3,6]=>[3,3]=>[[5,3],[2]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[2,4,5,1,6,3]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[2,4,5,3,1,6]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[2,4,5,3,6,1]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[2,4,5,6,1,3]=>[4,2]=>[[5,4],[3]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[2,4,5,6,3,1]=>[4,1,1]=>[[4,4,4],[3,3]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>10
[2,4,6,1,3,5]=>[3,3]=>[[5,3],[2]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[2,4,6,1,5,3]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[2,4,6,3,1,5]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[2,4,6,3,5,1]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[2,4,6,5,1,3]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[2,4,6,5,3,1]=>[3,1,1,1]=>[[3,3,3,3],[2,2,2]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>10
[2,5,1,3,4,6]=>[2,4]=>[[5,2],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[2,5,1,3,6,4]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[2,5,1,4,3,6]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[2,5,1,4,6,3]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[2,5,1,6,3,4]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[2,5,1,6,4,3]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[2,5,3,1,4,6]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[2,5,3,1,6,4]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[2,5,3,4,1,6]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[2,5,3,4,6,1]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[2,5,3,6,1,4]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[2,5,3,6,4,1]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[2,5,4,1,3,6]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[2,5,4,1,6,3]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[2,5,4,3,1,6]=>[2,1,1,2]=>[[3,2,2,2],[1,1,1]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[2,5,4,3,6,1]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[2,5,4,6,1,3]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[2,5,4,6,3,1]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[2,5,6,1,3,4]=>[3,3]=>[[5,3],[2]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[2,5,6,1,4,3]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[2,5,6,3,1,4]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[2,5,6,3,4,1]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[2,5,6,4,1,3]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[2,5,6,4,3,1]=>[3,1,1,1]=>[[3,3,3,3],[2,2,2]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>10
[2,6,1,3,4,5]=>[2,4]=>[[5,2],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[2,6,1,3,5,4]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[2,6,1,4,3,5]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[2,6,1,4,5,3]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[2,6,1,5,3,4]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[2,6,1,5,4,3]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[2,6,3,1,4,5]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[2,6,3,1,5,4]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[2,6,3,4,1,5]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[2,6,3,4,5,1]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[2,6,3,5,1,4]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[2,6,3,5,4,1]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[2,6,4,1,3,5]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[2,6,4,1,5,3]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[2,6,4,3,1,5]=>[2,1,1,2]=>[[3,2,2,2],[1,1,1]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[2,6,4,3,5,1]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[2,6,4,5,1,3]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[2,6,4,5,3,1]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[2,6,5,1,3,4]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[2,6,5,1,4,3]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[2,6,5,3,1,4]=>[2,1,1,2]=>[[3,2,2,2],[1,1,1]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[2,6,5,3,4,1]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[2,6,5,4,1,3]=>[2,1,1,2]=>[[3,2,2,2],[1,1,1]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[2,6,5,4,3,1]=>[2,1,1,1,1]=>[[2,2,2,2,2],[1,1,1,1]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>5
[3,1,2,4,5,6]=>[1,5]=>[[5,1],[]]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>5
[3,1,2,4,6,5]=>[1,4,1]=>[[4,4,1],[3]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[3,1,2,5,4,6]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[3,1,2,5,6,4]=>[1,4,1]=>[[4,4,1],[3]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[3,1,2,6,4,5]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[3,1,2,6,5,4]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[3,1,4,2,5,6]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[3,1,4,2,6,5]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,1,4,5,2,6]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[3,1,4,5,6,2]=>[1,4,1]=>[[4,4,1],[3]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[3,1,4,6,2,5]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[3,1,4,6,5,2]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[3,1,5,2,4,6]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[3,1,5,2,6,4]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,1,5,4,2,6]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[3,1,5,4,6,2]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,1,5,6,2,4]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[3,1,5,6,4,2]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[3,1,6,2,4,5]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[3,1,6,2,5,4]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,1,6,4,2,5]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[3,1,6,4,5,2]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,1,6,5,2,4]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[3,1,6,5,4,2]=>[1,2,1,1,1]=>[[2,2,2,2,1],[1,1,1]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[3,2,1,4,5,6]=>[1,1,4]=>[[4,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>10
[3,2,1,4,6,5]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[3,2,1,5,4,6]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[3,2,1,5,6,4]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[3,2,1,6,4,5]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[3,2,1,6,5,4]=>[1,1,2,1,1]=>[[2,2,2,1,1],[1,1]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[3,2,4,1,5,6]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[3,2,4,1,6,5]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,2,4,5,1,6]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[3,2,4,5,6,1]=>[1,4,1]=>[[4,4,1],[3]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[3,2,4,6,1,5]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[3,2,4,6,5,1]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[3,2,5,1,4,6]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[3,2,5,1,6,4]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,2,5,4,1,6]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[3,2,5,4,6,1]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,2,5,6,1,4]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[3,2,5,6,4,1]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[3,2,6,1,4,5]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[3,2,6,1,5,4]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,2,6,4,1,5]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[3,2,6,4,5,1]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,2,6,5,1,4]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[3,2,6,5,4,1]=>[1,2,1,1,1]=>[[2,2,2,2,1],[1,1,1]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[3,4,1,2,5,6]=>[2,4]=>[[5,2],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[3,4,1,2,6,5]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[3,4,1,5,2,6]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,4,1,5,6,2]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[3,4,1,6,2,5]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,4,1,6,5,2]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[3,4,2,1,5,6]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[3,4,2,1,6,5]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[3,4,2,5,1,6]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,4,2,5,6,1]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[3,4,2,6,1,5]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,4,2,6,5,1]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[3,4,5,1,2,6]=>[3,3]=>[[5,3],[2]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[3,4,5,1,6,2]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[3,4,5,2,1,6]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[3,4,5,2,6,1]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[3,4,5,6,1,2]=>[4,2]=>[[5,4],[3]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[3,4,5,6,2,1]=>[4,1,1]=>[[4,4,4],[3,3]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>10
[3,4,6,1,2,5]=>[3,3]=>[[5,3],[2]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[3,4,6,1,5,2]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[3,4,6,2,1,5]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[3,4,6,2,5,1]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[3,4,6,5,1,2]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[3,4,6,5,2,1]=>[3,1,1,1]=>[[3,3,3,3],[2,2,2]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>10
[3,5,1,2,4,6]=>[2,4]=>[[5,2],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[3,5,1,2,6,4]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[3,5,1,4,2,6]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,5,1,4,6,2]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[3,5,1,6,2,4]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,5,1,6,4,2]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[3,5,2,1,4,6]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[3,5,2,1,6,4]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[3,5,2,4,1,6]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,5,2,4,6,1]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[3,5,2,6,1,4]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,5,2,6,4,1]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[3,5,4,1,2,6]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[3,5,4,1,6,2]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[3,5,4,2,1,6]=>[2,1,1,2]=>[[3,2,2,2],[1,1,1]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[3,5,4,2,6,1]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[3,5,4,6,1,2]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,5,4,6,2,1]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[3,5,6,1,2,4]=>[3,3]=>[[5,3],[2]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[3,5,6,1,4,2]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[3,5,6,2,1,4]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[3,5,6,2,4,1]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[3,5,6,4,1,2]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[3,5,6,4,2,1]=>[3,1,1,1]=>[[3,3,3,3],[2,2,2]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>10
[3,6,1,2,4,5]=>[2,4]=>[[5,2],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[3,6,1,2,5,4]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[3,6,1,4,2,5]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,6,1,4,5,2]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[3,6,1,5,2,4]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,6,1,5,4,2]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[3,6,2,1,4,5]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[3,6,2,1,5,4]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[3,6,2,4,1,5]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,6,2,4,5,1]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[3,6,2,5,1,4]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,6,2,5,4,1]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[3,6,4,1,2,5]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[3,6,4,1,5,2]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[3,6,4,2,1,5]=>[2,1,1,2]=>[[3,2,2,2],[1,1,1]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[3,6,4,2,5,1]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[3,6,4,5,1,2]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[3,6,4,5,2,1]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[3,6,5,1,2,4]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[3,6,5,1,4,2]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[3,6,5,2,1,4]=>[2,1,1,2]=>[[3,2,2,2],[1,1,1]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[3,6,5,2,4,1]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[3,6,5,4,1,2]=>[2,1,1,2]=>[[3,2,2,2],[1,1,1]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[3,6,5,4,2,1]=>[2,1,1,1,1]=>[[2,2,2,2,2],[1,1,1,1]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>5
[4,1,2,3,5,6]=>[1,5]=>[[5,1],[]]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>5
[4,1,2,3,6,5]=>[1,4,1]=>[[4,4,1],[3]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[4,1,2,5,3,6]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[4,1,2,5,6,3]=>[1,4,1]=>[[4,4,1],[3]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[4,1,2,6,3,5]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[4,1,2,6,5,3]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[4,1,3,2,5,6]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[4,1,3,2,6,5]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,1,3,5,2,6]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[4,1,3,5,6,2]=>[1,4,1]=>[[4,4,1],[3]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[4,1,3,6,2,5]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[4,1,3,6,5,2]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[4,1,5,2,3,6]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[4,1,5,2,6,3]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,1,5,3,2,6]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[4,1,5,3,6,2]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,1,5,6,2,3]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[4,1,5,6,3,2]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[4,1,6,2,3,5]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[4,1,6,2,5,3]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,1,6,3,2,5]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[4,1,6,3,5,2]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,1,6,5,2,3]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[4,1,6,5,3,2]=>[1,2,1,1,1]=>[[2,2,2,2,1],[1,1,1]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[4,2,1,3,5,6]=>[1,1,4]=>[[4,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>10
[4,2,1,3,6,5]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[4,2,1,5,3,6]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[4,2,1,5,6,3]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[4,2,1,6,3,5]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[4,2,1,6,5,3]=>[1,1,2,1,1]=>[[2,2,2,1,1],[1,1]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[4,2,3,1,5,6]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[4,2,3,1,6,5]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,2,3,5,1,6]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[4,2,3,5,6,1]=>[1,4,1]=>[[4,4,1],[3]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[4,2,3,6,1,5]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[4,2,3,6,5,1]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[4,2,5,1,3,6]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[4,2,5,1,6,3]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,2,5,3,1,6]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[4,2,5,3,6,1]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,2,5,6,1,3]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[4,2,5,6,3,1]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[4,2,6,1,3,5]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[4,2,6,1,5,3]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,2,6,3,1,5]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[4,2,6,3,5,1]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,2,6,5,1,3]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[4,2,6,5,3,1]=>[1,2,1,1,1]=>[[2,2,2,2,1],[1,1,1]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[4,3,1,2,5,6]=>[1,1,4]=>[[4,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>10
[4,3,1,2,6,5]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[4,3,1,5,2,6]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[4,3,1,5,6,2]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[4,3,1,6,2,5]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[4,3,1,6,5,2]=>[1,1,2,1,1]=>[[2,2,2,1,1],[1,1]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[4,3,2,1,5,6]=>[1,1,1,3]=>[[3,1,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>10
[4,3,2,1,6,5]=>[1,1,1,2,1]=>[[2,2,1,1,1],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[4,3,2,5,1,6]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[4,3,2,5,6,1]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[4,3,2,6,1,5]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[4,3,2,6,5,1]=>[1,1,2,1,1]=>[[2,2,2,1,1],[1,1]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[4,3,5,1,2,6]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[4,3,5,1,6,2]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,3,5,2,1,6]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[4,3,5,2,6,1]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,3,5,6,1,2]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[4,3,5,6,2,1]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[4,3,6,1,2,5]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[4,3,6,1,5,2]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,3,6,2,1,5]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[4,3,6,2,5,1]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,3,6,5,1,2]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[4,3,6,5,2,1]=>[1,2,1,1,1]=>[[2,2,2,2,1],[1,1,1]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[4,5,1,2,3,6]=>[2,4]=>[[5,2],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[4,5,1,2,6,3]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[4,5,1,3,2,6]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,5,1,3,6,2]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[4,5,1,6,2,3]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,5,1,6,3,2]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[4,5,2,1,3,6]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[4,5,2,1,6,3]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[4,5,2,3,1,6]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,5,2,3,6,1]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[4,5,2,6,1,3]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,5,2,6,3,1]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[4,5,3,1,2,6]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[4,5,3,1,6,2]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[4,5,3,2,1,6]=>[2,1,1,2]=>[[3,2,2,2],[1,1,1]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[4,5,3,2,6,1]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[4,5,3,6,1,2]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,5,3,6,2,1]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[4,5,6,1,2,3]=>[3,3]=>[[5,3],[2]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[4,5,6,1,3,2]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[4,5,6,2,1,3]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[4,5,6,2,3,1]=>[3,2,1]=>[[4,4,3],[3,2]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[4,5,6,3,1,2]=>[3,1,2]=>[[4,3,3],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[4,5,6,3,2,1]=>[3,1,1,1]=>[[3,3,3,3],[2,2,2]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>10
[4,6,1,2,3,5]=>[2,4]=>[[5,2],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[4,6,1,2,5,3]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[4,6,1,3,2,5]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,6,1,3,5,2]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[4,6,1,5,2,3]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,6,1,5,3,2]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[4,6,2,1,3,5]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[4,6,2,1,5,3]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[4,6,2,3,1,5]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,6,2,3,5,1]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[4,6,2,5,1,3]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,6,2,5,3,1]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[4,6,3,1,2,5]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[4,6,3,1,5,2]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[4,6,3,2,1,5]=>[2,1,1,2]=>[[3,2,2,2],[1,1,1]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[4,6,3,2,5,1]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[4,6,3,5,1,2]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[4,6,3,5,2,1]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[4,6,5,1,2,3]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[4,6,5,1,3,2]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[4,6,5,2,1,3]=>[2,1,1,2]=>[[3,2,2,2],[1,1,1]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[4,6,5,2,3,1]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[4,6,5,3,1,2]=>[2,1,1,2]=>[[3,2,2,2],[1,1,1]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[4,6,5,3,2,1]=>[2,1,1,1,1]=>[[2,2,2,2,2],[1,1,1,1]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>5
[5,1,2,3,4,6]=>[1,5]=>[[5,1],[]]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>5
[5,1,2,3,6,4]=>[1,4,1]=>[[4,4,1],[3]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[5,1,2,4,3,6]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[5,1,2,4,6,3]=>[1,4,1]=>[[4,4,1],[3]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[5,1,2,6,3,4]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[5,1,2,6,4,3]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[5,1,3,2,4,6]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[5,1,3,2,6,4]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[5,1,3,4,2,6]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[5,1,3,4,6,2]=>[1,4,1]=>[[4,4,1],[3]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[5,1,3,6,2,4]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[5,1,3,6,4,2]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[5,1,4,2,3,6]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[5,1,4,2,6,3]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[5,1,4,3,2,6]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[5,1,4,3,6,2]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[5,1,4,6,2,3]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[5,1,4,6,3,2]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[5,1,6,2,3,4]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[5,1,6,2,4,3]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[5,1,6,3,2,4]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[5,1,6,3,4,2]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[5,1,6,4,2,3]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[5,1,6,4,3,2]=>[1,2,1,1,1]=>[[2,2,2,2,1],[1,1,1]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[5,2,1,3,4,6]=>[1,1,4]=>[[4,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>10
[5,2,1,3,6,4]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[5,2,1,4,3,6]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[5,2,1,4,6,3]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[5,2,1,6,3,4]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[5,2,1,6,4,3]=>[1,1,2,1,1]=>[[2,2,2,1,1],[1,1]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[5,2,3,1,4,6]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[5,2,3,1,6,4]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[5,2,3,4,1,6]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[5,2,3,4,6,1]=>[1,4,1]=>[[4,4,1],[3]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[5,2,3,6,1,4]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[5,2,3,6,4,1]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[5,2,4,1,3,6]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[5,2,4,1,6,3]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[5,2,4,3,1,6]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[5,2,4,3,6,1]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[5,2,4,6,1,3]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[5,2,4,6,3,1]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[5,2,6,1,3,4]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[5,2,6,1,4,3]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[5,2,6,3,1,4]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[5,2,6,3,4,1]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[5,2,6,4,1,3]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[5,2,6,4,3,1]=>[1,2,1,1,1]=>[[2,2,2,2,1],[1,1,1]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[5,3,1,2,4,6]=>[1,1,4]=>[[4,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>10
[5,3,1,2,6,4]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[5,3,1,4,2,6]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[5,3,1,4,6,2]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[5,3,1,6,2,4]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[5,3,1,6,4,2]=>[1,1,2,1,1]=>[[2,2,2,1,1],[1,1]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[5,3,2,1,4,6]=>[1,1,1,3]=>[[3,1,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>10
[5,3,2,1,6,4]=>[1,1,1,2,1]=>[[2,2,1,1,1],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[5,3,2,4,1,6]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[5,3,2,4,6,1]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[5,3,2,6,1,4]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[5,3,2,6,4,1]=>[1,1,2,1,1]=>[[2,2,2,1,1],[1,1]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[5,3,4,1,2,6]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[5,3,4,1,6,2]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[5,3,4,2,1,6]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[5,3,4,2,6,1]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[5,3,4,6,1,2]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[5,3,4,6,2,1]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[5,3,6,1,2,4]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[5,3,6,1,4,2]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[5,3,6,2,1,4]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[5,3,6,2,4,1]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[5,3,6,4,1,2]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[5,3,6,4,2,1]=>[1,2,1,1,1]=>[[2,2,2,2,1],[1,1,1]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[5,4,1,2,3,6]=>[1,1,4]=>[[4,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>10
[5,4,1,2,6,3]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[5,4,1,3,2,6]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[5,4,1,3,6,2]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[5,4,1,6,2,3]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[5,4,1,6,3,2]=>[1,1,2,1,1]=>[[2,2,2,1,1],[1,1]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[5,4,2,1,3,6]=>[1,1,1,3]=>[[3,1,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>10
[5,4,2,1,6,3]=>[1,1,1,2,1]=>[[2,2,1,1,1],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[5,4,2,3,1,6]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[5,4,2,3,6,1]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[5,4,2,6,1,3]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[5,4,2,6,3,1]=>[1,1,2,1,1]=>[[2,2,2,1,1],[1,1]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[5,4,3,1,2,6]=>[1,1,1,3]=>[[3,1,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>10
[5,4,3,1,6,2]=>[1,1,1,2,1]=>[[2,2,1,1,1],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[5,4,3,2,1,6]=>[1,1,1,1,2]=>[[2,1,1,1,1],[]]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>5
[5,4,3,2,6,1]=>[1,1,1,2,1]=>[[2,2,1,1,1],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[5,4,3,6,1,2]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[5,4,3,6,2,1]=>[1,1,2,1,1]=>[[2,2,2,1,1],[1,1]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[5,4,6,1,2,3]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[5,4,6,1,3,2]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[5,4,6,2,1,3]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[5,4,6,2,3,1]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[5,4,6,3,1,2]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[5,4,6,3,2,1]=>[1,2,1,1,1]=>[[2,2,2,2,1],[1,1,1]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[5,6,1,2,3,4]=>[2,4]=>[[5,2],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[5,6,1,2,4,3]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[5,6,1,3,2,4]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[5,6,1,3,4,2]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[5,6,1,4,2,3]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[5,6,1,4,3,2]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[5,6,2,1,3,4]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[5,6,2,1,4,3]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[5,6,2,3,1,4]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[5,6,2,3,4,1]=>[2,3,1]=>[[4,4,2],[3,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[5,6,2,4,1,3]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[5,6,2,4,3,1]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[5,6,3,1,2,4]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[5,6,3,1,4,2]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[5,6,3,2,1,4]=>[2,1,1,2]=>[[3,2,2,2],[1,1,1]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[5,6,3,2,4,1]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[5,6,3,4,1,2]=>[2,2,2]=>[[4,3,2],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[5,6,3,4,2,1]=>[2,2,1,1]=>[[3,3,3,2],[2,2,1]]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>35
[5,6,4,1,2,3]=>[2,1,3]=>[[4,2,2],[1,1]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[5,6,4,1,3,2]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[5,6,4,2,1,3]=>[2,1,1,2]=>[[3,2,2,2],[1,1,1]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[5,6,4,2,3,1]=>[2,1,2,1]=>[[3,3,2,2],[2,1,1]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>40
[5,6,4,3,1,2]=>[2,1,1,2]=>[[3,2,2,2],[1,1,1]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[5,6,4,3,2,1]=>[2,1,1,1,1]=>[[2,2,2,2,2],[1,1,1,1]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>5
[6,1,2,3,4,5]=>[1,5]=>[[5,1],[]]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>5
[6,1,2,3,5,4]=>[1,4,1]=>[[4,4,1],[3]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[6,1,2,4,3,5]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[6,1,2,4,5,3]=>[1,4,1]=>[[4,4,1],[3]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[6,1,2,5,3,4]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[6,1,2,5,4,3]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[6,1,3,2,4,5]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,1,3,2,5,4]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[6,1,3,4,2,5]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[6,1,3,4,5,2]=>[1,4,1]=>[[4,4,1],[3]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[6,1,3,5,2,4]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[6,1,3,5,4,2]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[6,1,4,2,3,5]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,1,4,2,5,3]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[6,1,4,3,2,5]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[6,1,4,3,5,2]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[6,1,4,5,2,3]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[6,1,4,5,3,2]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[6,1,5,2,3,4]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,1,5,2,4,3]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[6,1,5,3,2,4]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[6,1,5,3,4,2]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[6,1,5,4,2,3]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[6,1,5,4,3,2]=>[1,2,1,1,1]=>[[2,2,2,2,1],[1,1,1]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[6,2,1,3,4,5]=>[1,1,4]=>[[4,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>10
[6,2,1,3,5,4]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[6,2,1,4,3,5]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,2,1,4,5,3]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[6,2,1,5,3,4]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,2,1,5,4,3]=>[1,1,2,1,1]=>[[2,2,2,1,1],[1,1]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[6,2,3,1,4,5]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,2,3,1,5,4]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[6,2,3,4,1,5]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[6,2,3,4,5,1]=>[1,4,1]=>[[4,4,1],[3]]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>19
[6,2,3,5,1,4]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[6,2,3,5,4,1]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[6,2,4,1,3,5]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,2,4,1,5,3]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[6,2,4,3,1,5]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[6,2,4,3,5,1]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[6,2,4,5,1,3]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[6,2,4,5,3,1]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[6,2,5,1,3,4]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,2,5,1,4,3]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[6,2,5,3,1,4]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[6,2,5,3,4,1]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[6,2,5,4,1,3]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[6,2,5,4,3,1]=>[1,2,1,1,1]=>[[2,2,2,2,1],[1,1,1]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[6,3,1,2,4,5]=>[1,1,4]=>[[4,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>10
[6,3,1,2,5,4]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[6,3,1,4,2,5]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,3,1,4,5,2]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[6,3,1,5,2,4]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,3,1,5,4,2]=>[1,1,2,1,1]=>[[2,2,2,1,1],[1,1]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[6,3,2,1,4,5]=>[1,1,1,3]=>[[3,1,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>10
[6,3,2,1,5,4]=>[1,1,1,2,1]=>[[2,2,1,1,1],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[6,3,2,4,1,5]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,3,2,4,5,1]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[6,3,2,5,1,4]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,3,2,5,4,1]=>[1,1,2,1,1]=>[[2,2,2,1,1],[1,1]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[6,3,4,1,2,5]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,3,4,1,5,2]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[6,3,4,2,1,5]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[6,3,4,2,5,1]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[6,3,4,5,1,2]=>[1,3,2]=>[[4,3,1],[2]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[6,3,4,5,2,1]=>[1,3,1,1]=>[[3,3,3,1],[2,2]]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>26
[6,3,5,1,2,4]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,3,5,1,4,2]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[6,3,5,2,1,4]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[6,3,5,2,4,1]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[6,3,5,4,1,2]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[6,3,5,4,2,1]=>[1,2,1,1,1]=>[[2,2,2,2,1],[1,1,1]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[6,4,1,2,3,5]=>[1,1,4]=>[[4,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>10
[6,4,1,2,5,3]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[6,4,1,3,2,5]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,4,1,3,5,2]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[6,4,1,5,2,3]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,4,1,5,3,2]=>[1,1,2,1,1]=>[[2,2,2,1,1],[1,1]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[6,4,2,1,3,5]=>[1,1,1,3]=>[[3,1,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>10
[6,4,2,1,5,3]=>[1,1,1,2,1]=>[[2,2,1,1,1],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[6,4,2,3,1,5]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,4,2,3,5,1]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[6,4,2,5,1,3]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,4,2,5,3,1]=>[1,1,2,1,1]=>[[2,2,2,1,1],[1,1]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[6,4,3,1,2,5]=>[1,1,1,3]=>[[3,1,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>10
[6,4,3,1,5,2]=>[1,1,1,2,1]=>[[2,2,1,1,1],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[6,4,3,2,1,5]=>[1,1,1,1,2]=>[[2,1,1,1,1],[]]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>5
[6,4,3,2,5,1]=>[1,1,1,2,1]=>[[2,2,1,1,1],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[6,4,3,5,1,2]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,4,3,5,2,1]=>[1,1,2,1,1]=>[[2,2,2,1,1],[1,1]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[6,4,5,1,2,3]=>[1,2,3]=>[[4,2,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,4,5,1,3,2]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[6,4,5,2,1,3]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[6,4,5,2,3,1]=>[1,2,2,1]=>[[3,3,2,1],[2,1]]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>61
[6,4,5,3,1,2]=>[1,2,1,2]=>[[3,2,2,1],[1,1]]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>40
[6,4,5,3,2,1]=>[1,2,1,1,1]=>[[2,2,2,2,1],[1,1,1]]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
[6,5,1,2,3,4]=>[1,1,4]=>[[4,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>10
[6,5,1,2,4,3]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[6,5,1,3,2,4]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,5,1,3,4,2]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[6,5,1,4,2,3]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,5,1,4,3,2]=>[1,1,2,1,1]=>[[2,2,2,1,1],[1,1]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[6,5,2,1,3,4]=>[1,1,1,3]=>[[3,1,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>10
[6,5,2,1,4,3]=>[1,1,1,2,1]=>[[2,2,1,1,1],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[6,5,2,3,1,4]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,5,2,3,4,1]=>[1,1,3,1]=>[[3,3,1,1],[2]]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>26
[6,5,2,4,1,3]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,5,2,4,3,1]=>[1,1,2,1,1]=>[[2,2,2,1,1],[1,1]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[6,5,3,1,2,4]=>[1,1,1,3]=>[[3,1,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>10
[6,5,3,1,4,2]=>[1,1,1,2,1]=>[[2,2,1,1,1],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[6,5,3,2,1,4]=>[1,1,1,1,2]=>[[2,1,1,1,1],[]]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>5
[6,5,3,2,4,1]=>[1,1,1,2,1]=>[[2,2,1,1,1],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[6,5,3,4,1,2]=>[1,1,2,2]=>[[3,2,1,1],[1]]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>35
[6,5,3,4,2,1]=>[1,1,2,1,1]=>[[2,2,2,1,1],[1,1]]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>19
[6,5,4,1,2,3]=>[1,1,1,3]=>[[3,1,1,1],[]]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>10
[6,5,4,1,3,2]=>[1,1,1,2,1]=>[[2,2,1,1,1],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[6,5,4,2,1,3]=>[1,1,1,1,2]=>[[2,1,1,1,1],[]]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>5
[6,5,4,2,3,1]=>[1,1,1,2,1]=>[[2,2,1,1,1],[1]]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
[6,5,4,3,1,2]=>[1,1,1,1,2]=>[[2,1,1,1,1],[]]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>5
[6,5,4,3,2,1]=>[1,1,1,1,1,1]=>[[1,1,1,1,1,1],[]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>1
[1,2,3,4,5,6,7]=>[7]=>[[7],[]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>1
[1,2,3,4,5,7,6]=>[6,1]=>[[6,6],[5]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>6
[1,2,3,4,6,5,7]=>[5,2]=>[[6,5],[4]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[1,2,3,4,6,7,5]=>[6,1]=>[[6,6],[5]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>6
[1,2,3,4,7,5,6]=>[5,2]=>[[6,5],[4]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[1,2,3,4,7,6,5]=>[5,1,1]=>[[5,5,5],[4,4]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[1,2,3,5,4,6,7]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[1,2,3,5,4,7,6]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,2,3,5,6,4,7]=>[5,2]=>[[6,5],[4]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[1,2,3,5,6,7,4]=>[6,1]=>[[6,6],[5]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>6
[1,2,3,5,7,4,6]=>[5,2]=>[[6,5],[4]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[1,2,3,5,7,6,4]=>[5,1,1]=>[[5,5,5],[4,4]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[1,2,3,6,4,5,7]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[1,2,3,6,4,7,5]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,2,3,6,5,4,7]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,2,3,6,5,7,4]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,2,3,6,7,4,5]=>[5,2]=>[[6,5],[4]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[1,2,3,6,7,5,4]=>[5,1,1]=>[[5,5,5],[4,4]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[1,2,3,7,4,5,6]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[1,2,3,7,4,6,5]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,2,3,7,5,4,6]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,2,3,7,5,6,4]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,2,3,7,6,4,5]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,2,3,7,6,5,4]=>[4,1,1,1]=>[[4,4,4,4],[3,3,3]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>20
[1,2,4,3,5,6,7]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[1,2,4,3,5,7,6]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,2,4,3,6,5,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,2,4,3,6,7,5]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,2,4,3,7,5,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,2,4,3,7,6,5]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,2,4,5,3,6,7]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[1,2,4,5,3,7,6]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,2,4,5,6,3,7]=>[5,2]=>[[6,5],[4]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[1,2,4,5,6,7,3]=>[6,1]=>[[6,6],[5]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>6
[1,2,4,5,7,3,6]=>[5,2]=>[[6,5],[4]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[1,2,4,5,7,6,3]=>[5,1,1]=>[[5,5,5],[4,4]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[1,2,4,6,3,5,7]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[1,2,4,6,3,7,5]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,2,4,6,5,3,7]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,2,4,6,5,7,3]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,2,4,6,7,3,5]=>[5,2]=>[[6,5],[4]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[1,2,4,6,7,5,3]=>[5,1,1]=>[[5,5,5],[4,4]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[1,2,4,7,3,5,6]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[1,2,4,7,3,6,5]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,2,4,7,5,3,6]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,2,4,7,5,6,3]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,2,4,7,6,3,5]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,2,4,7,6,5,3]=>[4,1,1,1]=>[[4,4,4,4],[3,3,3]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>20
[1,2,5,3,4,6,7]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[1,2,5,3,4,7,6]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,2,5,3,6,4,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,2,5,3,6,7,4]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,2,5,3,7,4,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,2,5,3,7,6,4]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,2,5,4,3,6,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,2,5,4,3,7,6]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,2,5,4,6,3,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,2,5,4,6,7,3]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,2,5,4,7,3,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,2,5,4,7,6,3]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,2,5,6,3,4,7]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[1,2,5,6,3,7,4]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,2,5,6,4,3,7]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,2,5,6,4,7,3]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,2,5,6,7,3,4]=>[5,2]=>[[6,5],[4]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[1,2,5,6,7,4,3]=>[5,1,1]=>[[5,5,5],[4,4]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[1,2,5,7,3,4,6]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[1,2,5,7,3,6,4]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,2,5,7,4,3,6]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,2,5,7,4,6,3]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,2,5,7,6,3,4]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,2,5,7,6,4,3]=>[4,1,1,1]=>[[4,4,4,4],[3,3,3]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>20
[1,2,6,3,4,5,7]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[1,2,6,3,4,7,5]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,2,6,3,5,4,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,2,6,3,5,7,4]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,2,6,3,7,4,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,2,6,3,7,5,4]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,2,6,4,3,5,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,2,6,4,3,7,5]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,2,6,4,5,3,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,2,6,4,5,7,3]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,2,6,4,7,3,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,2,6,4,7,5,3]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,2,6,5,3,4,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,2,6,5,3,7,4]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,2,6,5,4,3,7]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[1,2,6,5,4,7,3]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,2,6,5,7,3,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,2,6,5,7,4,3]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,2,6,7,3,4,5]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[1,2,6,7,3,5,4]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,2,6,7,4,3,5]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,2,6,7,4,5,3]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,2,6,7,5,3,4]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,2,6,7,5,4,3]=>[4,1,1,1]=>[[4,4,4,4],[3,3,3]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>20
[1,2,7,3,4,5,6]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[1,2,7,3,4,6,5]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,2,7,3,5,4,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,2,7,3,5,6,4]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,2,7,3,6,4,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,2,7,3,6,5,4]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,2,7,4,3,5,6]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,2,7,4,3,6,5]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,2,7,4,5,3,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,2,7,4,5,6,3]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,2,7,4,6,3,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,2,7,4,6,5,3]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,2,7,5,3,4,6]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,2,7,5,3,6,4]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,2,7,5,4,3,6]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[1,2,7,5,4,6,3]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,2,7,5,6,3,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,2,7,5,6,4,3]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,2,7,6,3,4,5]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,2,7,6,3,5,4]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,2,7,6,4,3,5]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[1,2,7,6,4,5,3]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,2,7,6,5,3,4]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[1,2,7,6,5,4,3]=>[3,1,1,1,1]=>[[3,3,3,3,3],[2,2,2,2]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[1,3,2,4,5,6,7]=>[2,5]=>[[6,2],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[1,3,2,4,5,7,6]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,3,2,4,6,5,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,3,2,4,6,7,5]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,3,2,4,7,5,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,3,2,4,7,6,5]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,3,2,5,4,6,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,3,2,5,4,7,6]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,3,2,5,6,4,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,3,2,5,6,7,4]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,3,2,5,7,4,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,3,2,5,7,6,4]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,3,2,6,4,5,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,3,2,6,4,7,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,3,2,6,5,4,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,3,2,6,5,7,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,3,2,6,7,4,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,3,2,6,7,5,4]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,3,2,7,4,5,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,3,2,7,4,6,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,3,2,7,5,4,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,3,2,7,5,6,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,3,2,7,6,4,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,3,2,7,6,5,4]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,3,4,2,5,6,7]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[1,3,4,2,5,7,6]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,3,4,2,6,5,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,3,4,2,6,7,5]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,3,4,2,7,5,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,3,4,2,7,6,5]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,3,4,5,2,6,7]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[1,3,4,5,2,7,6]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,3,4,5,6,2,7]=>[5,2]=>[[6,5],[4]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[1,3,4,5,6,7,2]=>[6,1]=>[[6,6],[5]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>6
[1,3,4,5,7,2,6]=>[5,2]=>[[6,5],[4]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[1,3,4,5,7,6,2]=>[5,1,1]=>[[5,5,5],[4,4]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[1,3,4,6,2,5,7]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[1,3,4,6,2,7,5]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,3,4,6,5,2,7]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,3,4,6,5,7,2]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,3,4,6,7,2,5]=>[5,2]=>[[6,5],[4]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[1,3,4,6,7,5,2]=>[5,1,1]=>[[5,5,5],[4,4]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[1,3,4,7,2,5,6]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[1,3,4,7,2,6,5]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,3,4,7,5,2,6]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,3,4,7,5,6,2]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,3,4,7,6,2,5]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,3,4,7,6,5,2]=>[4,1,1,1]=>[[4,4,4,4],[3,3,3]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>20
[1,3,5,2,4,6,7]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[1,3,5,2,4,7,6]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,3,5,2,6,4,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,3,5,2,6,7,4]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,3,5,2,7,4,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,3,5,2,7,6,4]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,3,5,4,2,6,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,3,5,4,2,7,6]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,3,5,4,6,2,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,3,5,4,6,7,2]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,3,5,4,7,2,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,3,5,4,7,6,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,3,5,6,2,4,7]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[1,3,5,6,2,7,4]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,3,5,6,4,2,7]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,3,5,6,4,7,2]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,3,5,6,7,2,4]=>[5,2]=>[[6,5],[4]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[1,3,5,6,7,4,2]=>[5,1,1]=>[[5,5,5],[4,4]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[1,3,5,7,2,4,6]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[1,3,5,7,2,6,4]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,3,5,7,4,2,6]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,3,5,7,4,6,2]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,3,5,7,6,2,4]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,3,5,7,6,4,2]=>[4,1,1,1]=>[[4,4,4,4],[3,3,3]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>20
[1,3,6,2,4,5,7]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[1,3,6,2,4,7,5]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,3,6,2,5,4,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,3,6,2,5,7,4]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,3,6,2,7,4,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,3,6,2,7,5,4]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,3,6,4,2,5,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,3,6,4,2,7,5]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,3,6,4,5,2,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,3,6,4,5,7,2]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,3,6,4,7,2,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,3,6,4,7,5,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,3,6,5,2,4,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,3,6,5,2,7,4]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,3,6,5,4,2,7]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[1,3,6,5,4,7,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,3,6,5,7,2,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,3,6,5,7,4,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,3,6,7,2,4,5]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[1,3,6,7,2,5,4]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,3,6,7,4,2,5]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,3,6,7,4,5,2]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,3,6,7,5,2,4]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,3,6,7,5,4,2]=>[4,1,1,1]=>[[4,4,4,4],[3,3,3]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>20
[1,3,7,2,4,5,6]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[1,3,7,2,4,6,5]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,3,7,2,5,4,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,3,7,2,5,6,4]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,3,7,2,6,4,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,3,7,2,6,5,4]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,3,7,4,2,5,6]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,3,7,4,2,6,5]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,3,7,4,5,2,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,3,7,4,5,6,2]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,3,7,4,6,2,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,3,7,4,6,5,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,3,7,5,2,4,6]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,3,7,5,2,6,4]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,3,7,5,4,2,6]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[1,3,7,5,4,6,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,3,7,5,6,2,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,3,7,5,6,4,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,3,7,6,2,4,5]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,3,7,6,2,5,4]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,3,7,6,4,2,5]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[1,3,7,6,4,5,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,3,7,6,5,2,4]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[1,3,7,6,5,4,2]=>[3,1,1,1,1]=>[[3,3,3,3,3],[2,2,2,2]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[1,4,2,3,5,6,7]=>[2,5]=>[[6,2],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[1,4,2,3,5,7,6]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,4,2,3,6,5,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,4,2,3,6,7,5]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,4,2,3,7,5,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,4,2,3,7,6,5]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,4,2,5,3,6,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,4,2,5,3,7,6]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,4,2,5,6,3,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,4,2,5,6,7,3]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,4,2,5,7,3,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,4,2,5,7,6,3]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,4,2,6,3,5,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,4,2,6,3,7,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,4,2,6,5,3,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,4,2,6,5,7,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,4,2,6,7,3,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,4,2,6,7,5,3]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,4,2,7,3,5,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,4,2,7,3,6,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,4,2,7,5,3,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,4,2,7,5,6,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,4,2,7,6,3,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,4,2,7,6,5,3]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,4,3,2,5,6,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[1,4,3,2,5,7,6]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,4,3,2,6,5,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,4,3,2,6,7,5]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,4,3,2,7,5,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,4,3,2,7,6,5]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,4,3,5,2,6,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,4,3,5,2,7,6]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,4,3,5,6,2,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,4,3,5,6,7,2]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,4,3,5,7,2,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,4,3,5,7,6,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,4,3,6,2,5,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,4,3,6,2,7,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,4,3,6,5,2,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,4,3,6,5,7,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,4,3,6,7,2,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,4,3,6,7,5,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,4,3,7,2,5,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,4,3,7,2,6,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,4,3,7,5,2,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,4,3,7,5,6,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,4,3,7,6,2,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,4,3,7,6,5,2]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,4,5,2,3,6,7]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[1,4,5,2,3,7,6]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,4,5,2,6,3,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,4,5,2,6,7,3]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,4,5,2,7,3,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,4,5,2,7,6,3]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,4,5,3,2,6,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,4,5,3,2,7,6]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,4,5,3,6,2,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,4,5,3,6,7,2]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,4,5,3,7,2,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,4,5,3,7,6,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,4,5,6,2,3,7]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[1,4,5,6,2,7,3]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,4,5,6,3,2,7]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,4,5,6,3,7,2]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,4,5,6,7,2,3]=>[5,2]=>[[6,5],[4]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[1,4,5,6,7,3,2]=>[5,1,1]=>[[5,5,5],[4,4]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[1,4,5,7,2,3,6]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[1,4,5,7,2,6,3]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,4,5,7,3,2,6]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,4,5,7,3,6,2]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,4,5,7,6,2,3]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,4,5,7,6,3,2]=>[4,1,1,1]=>[[4,4,4,4],[3,3,3]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>20
[1,4,6,2,3,5,7]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[1,4,6,2,3,7,5]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,4,6,2,5,3,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,4,6,2,5,7,3]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,4,6,2,7,3,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,4,6,2,7,5,3]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,4,6,3,2,5,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,4,6,3,2,7,5]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,4,6,3,5,2,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,4,6,3,5,7,2]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,4,6,3,7,2,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,4,6,3,7,5,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,4,6,5,2,3,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,4,6,5,2,7,3]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,4,6,5,3,2,7]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[1,4,6,5,3,7,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,4,6,5,7,2,3]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,4,6,5,7,3,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,4,6,7,2,3,5]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[1,4,6,7,2,5,3]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,4,6,7,3,2,5]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,4,6,7,3,5,2]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,4,6,7,5,2,3]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,4,6,7,5,3,2]=>[4,1,1,1]=>[[4,4,4,4],[3,3,3]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>20
[1,4,7,2,3,5,6]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[1,4,7,2,3,6,5]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,4,7,2,5,3,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,4,7,2,5,6,3]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,4,7,2,6,3,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,4,7,2,6,5,3]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,4,7,3,2,5,6]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,4,7,3,2,6,5]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,4,7,3,5,2,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,4,7,3,5,6,2]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,4,7,3,6,2,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,4,7,3,6,5,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,4,7,5,2,3,6]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,4,7,5,2,6,3]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,4,7,5,3,2,6]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[1,4,7,5,3,6,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,4,7,5,6,2,3]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,4,7,5,6,3,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,4,7,6,2,3,5]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,4,7,6,2,5,3]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,4,7,6,3,2,5]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[1,4,7,6,3,5,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,4,7,6,5,2,3]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[1,4,7,6,5,3,2]=>[3,1,1,1,1]=>[[3,3,3,3,3],[2,2,2,2]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[1,5,2,3,4,6,7]=>[2,5]=>[[6,2],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[1,5,2,3,4,7,6]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,5,2,3,6,4,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,5,2,3,6,7,4]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,5,2,3,7,4,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,5,2,3,7,6,4]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,5,2,4,3,6,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,5,2,4,3,7,6]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,5,2,4,6,3,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,5,2,4,6,7,3]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,5,2,4,7,3,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,5,2,4,7,6,3]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,5,2,6,3,4,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,5,2,6,3,7,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,5,2,6,4,3,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,5,2,6,4,7,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,5,2,6,7,3,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,5,2,6,7,4,3]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,5,2,7,3,4,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,5,2,7,3,6,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,5,2,7,4,3,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,5,2,7,4,6,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,5,2,7,6,3,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,5,2,7,6,4,3]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,5,3,2,4,6,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[1,5,3,2,4,7,6]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,5,3,2,6,4,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,5,3,2,6,7,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,5,3,2,7,4,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,5,3,2,7,6,4]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,5,3,4,2,6,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,5,3,4,2,7,6]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,5,3,4,6,2,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,5,3,4,6,7,2]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,5,3,4,7,2,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,5,3,4,7,6,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,5,3,6,2,4,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,5,3,6,2,7,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,5,3,6,4,2,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,5,3,6,4,7,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,5,3,6,7,2,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,5,3,6,7,4,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,5,3,7,2,4,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,5,3,7,2,6,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,5,3,7,4,2,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,5,3,7,4,6,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,5,3,7,6,2,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,5,3,7,6,4,2]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,5,4,2,3,6,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[1,5,4,2,3,7,6]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,5,4,2,6,3,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,5,4,2,6,7,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,5,4,2,7,3,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,5,4,2,7,6,3]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,5,4,3,2,6,7]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[1,5,4,3,2,7,6]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,5,4,3,6,2,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,5,4,3,6,7,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,5,4,3,7,2,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,5,4,3,7,6,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,5,4,6,2,3,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,5,4,6,2,7,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,5,4,6,3,2,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,5,4,6,3,7,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,5,4,6,7,2,3]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,5,4,6,7,3,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,5,4,7,2,3,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,5,4,7,2,6,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,5,4,7,3,2,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,5,4,7,3,6,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,5,4,7,6,2,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,5,4,7,6,3,2]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,5,6,2,3,4,7]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[1,5,6,2,3,7,4]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,5,6,2,4,3,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,5,6,2,4,7,3]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,5,6,2,7,3,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,5,6,2,7,4,3]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,5,6,3,2,4,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,5,6,3,2,7,4]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,5,6,3,4,2,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,5,6,3,4,7,2]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,5,6,3,7,2,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,5,6,3,7,4,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,5,6,4,2,3,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,5,6,4,2,7,3]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,5,6,4,3,2,7]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[1,5,6,4,3,7,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,5,6,4,7,2,3]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,5,6,4,7,3,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,5,6,7,2,3,4]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[1,5,6,7,2,4,3]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,5,6,7,3,2,4]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,5,6,7,3,4,2]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,5,6,7,4,2,3]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[1,5,6,7,4,3,2]=>[4,1,1,1]=>[[4,4,4,4],[3,3,3]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>20
[1,5,7,2,3,4,6]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[1,5,7,2,3,6,4]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,5,7,2,4,3,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,5,7,2,4,6,3]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,5,7,2,6,3,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,5,7,2,6,4,3]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,5,7,3,2,4,6]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,5,7,3,2,6,4]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,5,7,3,4,2,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,5,7,3,4,6,2]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,5,7,3,6,2,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,5,7,3,6,4,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,5,7,4,2,3,6]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,5,7,4,2,6,3]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,5,7,4,3,2,6]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[1,5,7,4,3,6,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,5,7,4,6,2,3]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,5,7,4,6,3,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,5,7,6,2,3,4]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,5,7,6,2,4,3]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,5,7,6,3,2,4]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[1,5,7,6,3,4,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,5,7,6,4,2,3]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[1,5,7,6,4,3,2]=>[3,1,1,1,1]=>[[3,3,3,3,3],[2,2,2,2]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[1,6,2,3,4,5,7]=>[2,5]=>[[6,2],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[1,6,2,3,4,7,5]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,6,2,3,5,4,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,6,2,3,5,7,4]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,6,2,3,7,4,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,6,2,3,7,5,4]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,6,2,4,3,5,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,6,2,4,3,7,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,6,2,4,5,3,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,6,2,4,5,7,3]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,6,2,4,7,3,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,6,2,4,7,5,3]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,6,2,5,3,4,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,6,2,5,3,7,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,6,2,5,4,3,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,6,2,5,4,7,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,6,2,5,7,3,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,6,2,5,7,4,3]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,6,2,7,3,4,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,6,2,7,3,5,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,6,2,7,4,3,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,6,2,7,4,5,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,6,2,7,5,3,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,6,2,7,5,4,3]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,6,3,2,4,5,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[1,6,3,2,4,7,5]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,6,3,2,5,4,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,6,3,2,5,7,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,6,3,2,7,4,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,6,3,2,7,5,4]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,6,3,4,2,5,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,6,3,4,2,7,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,6,3,4,5,2,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,6,3,4,5,7,2]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,6,3,4,7,2,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,6,3,4,7,5,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,6,3,5,2,4,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,6,3,5,2,7,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,6,3,5,4,2,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,6,3,5,4,7,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,6,3,5,7,2,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,6,3,5,7,4,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,6,3,7,2,4,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,6,3,7,2,5,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,6,3,7,4,2,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,6,3,7,4,5,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,6,3,7,5,2,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,6,3,7,5,4,2]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,6,4,2,3,5,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[1,6,4,2,3,7,5]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,6,4,2,5,3,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,6,4,2,5,7,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,6,4,2,7,3,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,6,4,2,7,5,3]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,6,4,3,2,5,7]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[1,6,4,3,2,7,5]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,6,4,3,5,2,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,6,4,3,5,7,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,6,4,3,7,2,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,6,4,3,7,5,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,6,4,5,2,3,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,6,4,5,2,7,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,6,4,5,3,2,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,6,4,5,3,7,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,6,4,5,7,2,3]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,6,4,5,7,3,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,6,4,7,2,3,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,6,4,7,2,5,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,6,4,7,3,2,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,6,4,7,3,5,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,6,4,7,5,2,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,6,4,7,5,3,2]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,6,5,2,3,4,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[1,6,5,2,3,7,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,6,5,2,4,3,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,6,5,2,4,7,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,6,5,2,7,3,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,6,5,2,7,4,3]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,6,5,3,2,4,7]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[1,6,5,3,2,7,4]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,6,5,3,4,2,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,6,5,3,4,7,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,6,5,3,7,2,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,6,5,3,7,4,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,6,5,4,2,3,7]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[1,6,5,4,2,7,3]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,6,5,4,3,2,7]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[1,6,5,4,3,7,2]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,6,5,4,7,2,3]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,6,5,4,7,3,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,6,5,7,2,3,4]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,6,5,7,2,4,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,6,5,7,3,2,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,6,5,7,3,4,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,6,5,7,4,2,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,6,5,7,4,3,2]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,6,7,2,3,4,5]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[1,6,7,2,3,5,4]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,6,7,2,4,3,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,6,7,2,4,5,3]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,6,7,2,5,3,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,6,7,2,5,4,3]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,6,7,3,2,4,5]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,6,7,3,2,5,4]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,6,7,3,4,2,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,6,7,3,4,5,2]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,6,7,3,5,2,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,6,7,3,5,4,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,6,7,4,2,3,5]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,6,7,4,2,5,3]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,6,7,4,3,2,5]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[1,6,7,4,3,5,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,6,7,4,5,2,3]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[1,6,7,4,5,3,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[1,6,7,5,2,3,4]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[1,6,7,5,2,4,3]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,6,7,5,3,2,4]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[1,6,7,5,3,4,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,6,7,5,4,2,3]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[1,6,7,5,4,3,2]=>[3,1,1,1,1]=>[[3,3,3,3,3],[2,2,2,2]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[1,7,2,3,4,5,6]=>[2,5]=>[[6,2],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[1,7,2,3,4,6,5]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,7,2,3,5,4,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,7,2,3,5,6,4]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,7,2,3,6,4,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,7,2,3,6,5,4]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,7,2,4,3,5,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,7,2,4,3,6,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,7,2,4,5,3,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,7,2,4,5,6,3]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,7,2,4,6,3,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,7,2,4,6,5,3]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,7,2,5,3,4,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,7,2,5,3,6,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,7,2,5,4,3,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,7,2,5,4,6,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,7,2,5,6,3,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,7,2,5,6,4,3]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,7,2,6,3,4,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,7,2,6,3,5,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,7,2,6,4,3,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,7,2,6,4,5,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,7,2,6,5,3,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,7,2,6,5,4,3]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,7,3,2,4,5,6]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[1,7,3,2,4,6,5]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,7,3,2,5,4,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,7,3,2,5,6,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,7,3,2,6,4,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,7,3,2,6,5,4]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,7,3,4,2,5,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,7,3,4,2,6,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,7,3,4,5,2,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,7,3,4,5,6,2]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,7,3,4,6,2,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,7,3,4,6,5,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,7,3,5,2,4,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,7,3,5,2,6,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,7,3,5,4,2,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,7,3,5,4,6,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,7,3,5,6,2,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,7,3,5,6,4,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,7,3,6,2,4,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,7,3,6,2,5,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,7,3,6,4,2,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,7,3,6,4,5,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,7,3,6,5,2,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,7,3,6,5,4,2]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,7,4,2,3,5,6]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[1,7,4,2,3,6,5]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,7,4,2,5,3,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,7,4,2,5,6,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,7,4,2,6,3,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,7,4,2,6,5,3]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,7,4,3,2,5,6]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[1,7,4,3,2,6,5]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,7,4,3,5,2,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,7,4,3,5,6,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,7,4,3,6,2,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,7,4,3,6,5,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,7,4,5,2,3,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,7,4,5,2,6,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,7,4,5,3,2,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,7,4,5,3,6,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,7,4,5,6,2,3]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[1,7,4,5,6,3,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[1,7,4,6,2,3,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,7,4,6,2,5,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,7,4,6,3,2,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,7,4,6,3,5,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,7,4,6,5,2,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,7,4,6,5,3,2]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,7,5,2,3,4,6]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[1,7,5,2,3,6,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,7,5,2,4,3,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,7,5,2,4,6,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,7,5,2,6,3,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,7,5,2,6,4,3]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,7,5,3,2,4,6]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[1,7,5,3,2,6,4]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,7,5,3,4,2,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,7,5,3,4,6,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,7,5,3,6,2,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,7,5,3,6,4,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,7,5,4,2,3,6]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[1,7,5,4,2,6,3]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,7,5,4,3,2,6]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[1,7,5,4,3,6,2]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,7,5,4,6,2,3]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,7,5,4,6,3,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,7,5,6,2,3,4]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[1,7,5,6,2,4,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,7,5,6,3,2,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,7,5,6,3,4,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[1,7,5,6,4,2,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[1,7,5,6,4,3,2]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[1,7,6,2,3,4,5]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[1,7,6,2,3,5,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,7,6,2,4,3,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,7,6,2,4,5,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,7,6,2,5,3,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,7,6,2,5,4,3]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,7,6,3,2,4,5]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[1,7,6,3,2,5,4]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,7,6,3,4,2,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,7,6,3,4,5,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[1,7,6,3,5,2,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,7,6,3,5,4,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,7,6,4,2,3,5]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[1,7,6,4,2,5,3]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,7,6,4,3,2,5]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[1,7,6,4,3,5,2]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,7,6,4,5,2,3]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[1,7,6,4,5,3,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[1,7,6,5,2,3,4]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[1,7,6,5,2,4,3]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,7,6,5,3,2,4]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[1,7,6,5,3,4,2]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[1,7,6,5,4,2,3]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[1,7,6,5,4,3,2]=>[2,1,1,1,1,1]=>[[2,2,2,2,2,2],[1,1,1,1,1]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>6
[2,1,3,4,5,6,7]=>[1,6]=>[[6,1],[]]=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>6
[2,1,3,4,5,7,6]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[2,1,3,4,6,5,7]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[2,1,3,4,6,7,5]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[2,1,3,4,7,5,6]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[2,1,3,4,7,6,5]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[2,1,3,5,4,6,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[2,1,3,5,4,7,6]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,1,3,5,6,4,7]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[2,1,3,5,6,7,4]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[2,1,3,5,7,4,6]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[2,1,3,5,7,6,4]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[2,1,3,6,4,5,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[2,1,3,6,4,7,5]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,1,3,6,5,4,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[2,1,3,6,5,7,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,1,3,6,7,4,5]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[2,1,3,6,7,5,4]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[2,1,3,7,4,5,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[2,1,3,7,4,6,5]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,1,3,7,5,4,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[2,1,3,7,5,6,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,1,3,7,6,4,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[2,1,3,7,6,5,4]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[2,1,4,3,5,6,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[2,1,4,3,5,7,6]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,1,4,3,6,5,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[2,1,4,3,6,7,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,1,4,3,7,5,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[2,1,4,3,7,6,5]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,1,4,5,3,6,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[2,1,4,5,3,7,6]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,1,4,5,6,3,7]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[2,1,4,5,6,7,3]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[2,1,4,5,7,3,6]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[2,1,4,5,7,6,3]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[2,1,4,6,3,5,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[2,1,4,6,3,7,5]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,1,4,6,5,3,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[2,1,4,6,5,7,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,1,4,6,7,3,5]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[2,1,4,6,7,5,3]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[2,1,4,7,3,5,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[2,1,4,7,3,6,5]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,1,4,7,5,3,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[2,1,4,7,5,6,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,1,4,7,6,3,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[2,1,4,7,6,5,3]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[2,1,5,3,4,6,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[2,1,5,3,4,7,6]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,1,5,3,6,4,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[2,1,5,3,6,7,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,1,5,3,7,4,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[2,1,5,3,7,6,4]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,1,5,4,3,6,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[2,1,5,4,3,7,6]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,1,5,4,6,3,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[2,1,5,4,6,7,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,1,5,4,7,3,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[2,1,5,4,7,6,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,1,5,6,3,4,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[2,1,5,6,3,7,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,1,5,6,4,3,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[2,1,5,6,4,7,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,1,5,6,7,3,4]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[2,1,5,6,7,4,3]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[2,1,5,7,3,4,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[2,1,5,7,3,6,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,1,5,7,4,3,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[2,1,5,7,4,6,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,1,5,7,6,3,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[2,1,5,7,6,4,3]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[2,1,6,3,4,5,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[2,1,6,3,4,7,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,1,6,3,5,4,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[2,1,6,3,5,7,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,1,6,3,7,4,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[2,1,6,3,7,5,4]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,1,6,4,3,5,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[2,1,6,4,3,7,5]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,1,6,4,5,3,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[2,1,6,4,5,7,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,1,6,4,7,3,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[2,1,6,4,7,5,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,1,6,5,3,4,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[2,1,6,5,3,7,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,1,6,5,4,3,7]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[2,1,6,5,4,7,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,1,6,5,7,3,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[2,1,6,5,7,4,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,1,6,7,3,4,5]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[2,1,6,7,3,5,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,1,6,7,4,3,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[2,1,6,7,4,5,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,1,6,7,5,3,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[2,1,6,7,5,4,3]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[2,1,7,3,4,5,6]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[2,1,7,3,4,6,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,1,7,3,5,4,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[2,1,7,3,5,6,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,1,7,3,6,4,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[2,1,7,3,6,5,4]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,1,7,4,3,5,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[2,1,7,4,3,6,5]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,1,7,4,5,3,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[2,1,7,4,5,6,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,1,7,4,6,3,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[2,1,7,4,6,5,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,1,7,5,3,4,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[2,1,7,5,3,6,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,1,7,5,4,3,6]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[2,1,7,5,4,6,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,1,7,5,6,3,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[2,1,7,5,6,4,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,1,7,6,3,4,5]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[2,1,7,6,3,5,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,1,7,6,4,3,5]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[2,1,7,6,4,5,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,1,7,6,5,3,4]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[2,1,7,6,5,4,3]=>[1,2,1,1,1,1]=>[[2,2,2,2,2,1],[1,1,1,1]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[2,3,1,4,5,6,7]=>[2,5]=>[[6,2],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[2,3,1,4,5,7,6]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,3,1,4,6,5,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,3,1,4,6,7,5]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,3,1,4,7,5,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,3,1,4,7,6,5]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,3,1,5,4,6,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,3,1,5,4,7,6]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,3,1,5,6,4,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,3,1,5,6,7,4]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,3,1,5,7,4,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,3,1,5,7,6,4]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,3,1,6,4,5,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,3,1,6,4,7,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,3,1,6,5,4,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,3,1,6,5,7,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,3,1,6,7,4,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,3,1,6,7,5,4]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,3,1,7,4,5,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,3,1,7,4,6,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,3,1,7,5,4,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,3,1,7,5,6,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,3,1,7,6,4,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,3,1,7,6,5,4]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,3,4,1,5,6,7]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[2,3,4,1,5,7,6]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,3,4,1,6,5,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,3,4,1,6,7,5]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,3,4,1,7,5,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,3,4,1,7,6,5]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,3,4,5,1,6,7]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[2,3,4,5,1,7,6]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,3,4,5,6,1,7]=>[5,2]=>[[6,5],[4]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[2,3,4,5,6,7,1]=>[6,1]=>[[6,6],[5]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>6
[2,3,4,5,7,1,6]=>[5,2]=>[[6,5],[4]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[2,3,4,5,7,6,1]=>[5,1,1]=>[[5,5,5],[4,4]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[2,3,4,6,1,5,7]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[2,3,4,6,1,7,5]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,3,4,6,5,1,7]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[2,3,4,6,5,7,1]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,3,4,6,7,1,5]=>[5,2]=>[[6,5],[4]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[2,3,4,6,7,5,1]=>[5,1,1]=>[[5,5,5],[4,4]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[2,3,4,7,1,5,6]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[2,3,4,7,1,6,5]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,3,4,7,5,1,6]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[2,3,4,7,5,6,1]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,3,4,7,6,1,5]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[2,3,4,7,6,5,1]=>[4,1,1,1]=>[[4,4,4,4],[3,3,3]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>20
[2,3,5,1,4,6,7]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[2,3,5,1,4,7,6]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,3,5,1,6,4,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,3,5,1,6,7,4]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,3,5,1,7,4,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,3,5,1,7,6,4]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,3,5,4,1,6,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[2,3,5,4,1,7,6]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,3,5,4,6,1,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,3,5,4,6,7,1]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,3,5,4,7,1,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,3,5,4,7,6,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,3,5,6,1,4,7]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[2,3,5,6,1,7,4]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,3,5,6,4,1,7]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[2,3,5,6,4,7,1]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,3,5,6,7,1,4]=>[5,2]=>[[6,5],[4]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[2,3,5,6,7,4,1]=>[5,1,1]=>[[5,5,5],[4,4]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[2,3,5,7,1,4,6]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[2,3,5,7,1,6,4]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,3,5,7,4,1,6]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[2,3,5,7,4,6,1]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,3,5,7,6,1,4]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[2,3,5,7,6,4,1]=>[4,1,1,1]=>[[4,4,4,4],[3,3,3]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>20
[2,3,6,1,4,5,7]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[2,3,6,1,4,7,5]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,3,6,1,5,4,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,3,6,1,5,7,4]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,3,6,1,7,4,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,3,6,1,7,5,4]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,3,6,4,1,5,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[2,3,6,4,1,7,5]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,3,6,4,5,1,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,3,6,4,5,7,1]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,3,6,4,7,1,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,3,6,4,7,5,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,3,6,5,1,4,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[2,3,6,5,1,7,4]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,3,6,5,4,1,7]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[2,3,6,5,4,7,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,3,6,5,7,1,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,3,6,5,7,4,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,3,6,7,1,4,5]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[2,3,6,7,1,5,4]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,3,6,7,4,1,5]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[2,3,6,7,4,5,1]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,3,6,7,5,1,4]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[2,3,6,7,5,4,1]=>[4,1,1,1]=>[[4,4,4,4],[3,3,3]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>20
[2,3,7,1,4,5,6]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[2,3,7,1,4,6,5]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,3,7,1,5,4,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,3,7,1,5,6,4]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,3,7,1,6,4,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,3,7,1,6,5,4]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,3,7,4,1,5,6]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[2,3,7,4,1,6,5]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,3,7,4,5,1,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,3,7,4,5,6,1]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,3,7,4,6,1,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,3,7,4,6,5,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,3,7,5,1,4,6]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[2,3,7,5,1,6,4]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,3,7,5,4,1,6]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[2,3,7,5,4,6,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,3,7,5,6,1,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,3,7,5,6,4,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,3,7,6,1,4,5]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[2,3,7,6,1,5,4]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,3,7,6,4,1,5]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[2,3,7,6,4,5,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,3,7,6,5,1,4]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[2,3,7,6,5,4,1]=>[3,1,1,1,1]=>[[3,3,3,3,3],[2,2,2,2]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[2,4,1,3,5,6,7]=>[2,5]=>[[6,2],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[2,4,1,3,5,7,6]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,4,1,3,6,5,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,4,1,3,6,7,5]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,4,1,3,7,5,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,4,1,3,7,6,5]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,4,1,5,3,6,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,4,1,5,3,7,6]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,4,1,5,6,3,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,4,1,5,6,7,3]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,4,1,5,7,3,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,4,1,5,7,6,3]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,4,1,6,3,5,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,4,1,6,3,7,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,4,1,6,5,3,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,4,1,6,5,7,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,4,1,6,7,3,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,4,1,6,7,5,3]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,4,1,7,3,5,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,4,1,7,3,6,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,4,1,7,5,3,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,4,1,7,5,6,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,4,1,7,6,3,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,4,1,7,6,5,3]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,4,3,1,5,6,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[2,4,3,1,5,7,6]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,4,3,1,6,5,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,4,3,1,6,7,5]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,4,3,1,7,5,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,4,3,1,7,6,5]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,4,3,5,1,6,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,4,3,5,1,7,6]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,4,3,5,6,1,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,4,3,5,6,7,1]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,4,3,5,7,1,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,4,3,5,7,6,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,4,3,6,1,5,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,4,3,6,1,7,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,4,3,6,5,1,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,4,3,6,5,7,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,4,3,6,7,1,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,4,3,6,7,5,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,4,3,7,1,5,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,4,3,7,1,6,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,4,3,7,5,1,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,4,3,7,5,6,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,4,3,7,6,1,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,4,3,7,6,5,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,4,5,1,3,6,7]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[2,4,5,1,3,7,6]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,4,5,1,6,3,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,4,5,1,6,7,3]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,4,5,1,7,3,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,4,5,1,7,6,3]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,4,5,3,1,6,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[2,4,5,3,1,7,6]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,4,5,3,6,1,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,4,5,3,6,7,1]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,4,5,3,7,1,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,4,5,3,7,6,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,4,5,6,1,3,7]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[2,4,5,6,1,7,3]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,4,5,6,3,1,7]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[2,4,5,6,3,7,1]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,4,5,6,7,1,3]=>[5,2]=>[[6,5],[4]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[2,4,5,6,7,3,1]=>[5,1,1]=>[[5,5,5],[4,4]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[2,4,5,7,1,3,6]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[2,4,5,7,1,6,3]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,4,5,7,3,1,6]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[2,4,5,7,3,6,1]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,4,5,7,6,1,3]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[2,4,5,7,6,3,1]=>[4,1,1,1]=>[[4,4,4,4],[3,3,3]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>20
[2,4,6,1,3,5,7]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[2,4,6,1,3,7,5]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,4,6,1,5,3,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,4,6,1,5,7,3]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,4,6,1,7,3,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,4,6,1,7,5,3]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,4,6,3,1,5,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[2,4,6,3,1,7,5]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,4,6,3,5,1,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,4,6,3,5,7,1]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,4,6,3,7,1,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,4,6,3,7,5,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,4,6,5,1,3,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[2,4,6,5,1,7,3]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,4,6,5,3,1,7]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[2,4,6,5,3,7,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,4,6,5,7,1,3]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,4,6,5,7,3,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,4,6,7,1,3,5]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[2,4,6,7,1,5,3]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,4,6,7,3,1,5]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[2,4,6,7,3,5,1]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,4,6,7,5,1,3]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[2,4,6,7,5,3,1]=>[4,1,1,1]=>[[4,4,4,4],[3,3,3]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>20
[2,4,7,1,3,5,6]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[2,4,7,1,3,6,5]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,4,7,1,5,3,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,4,7,1,5,6,3]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,4,7,1,6,3,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,4,7,1,6,5,3]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,4,7,3,1,5,6]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[2,4,7,3,1,6,5]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,4,7,3,5,1,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,4,7,3,5,6,1]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,4,7,3,6,1,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,4,7,3,6,5,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,4,7,5,1,3,6]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[2,4,7,5,1,6,3]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,4,7,5,3,1,6]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[2,4,7,5,3,6,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,4,7,5,6,1,3]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,4,7,5,6,3,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,4,7,6,1,3,5]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[2,4,7,6,1,5,3]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,4,7,6,3,1,5]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[2,4,7,6,3,5,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,4,7,6,5,1,3]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[2,4,7,6,5,3,1]=>[3,1,1,1,1]=>[[3,3,3,3,3],[2,2,2,2]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[2,5,1,3,4,6,7]=>[2,5]=>[[6,2],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[2,5,1,3,4,7,6]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,5,1,3,6,4,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,5,1,3,6,7,4]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,5,1,3,7,4,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,5,1,3,7,6,4]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,5,1,4,3,6,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,5,1,4,3,7,6]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,5,1,4,6,3,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,5,1,4,6,7,3]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,5,1,4,7,3,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,5,1,4,7,6,3]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,5,1,6,3,4,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,5,1,6,3,7,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,5,1,6,4,3,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,5,1,6,4,7,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,5,1,6,7,3,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,5,1,6,7,4,3]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,5,1,7,3,4,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,5,1,7,3,6,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,5,1,7,4,3,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,5,1,7,4,6,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,5,1,7,6,3,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,5,1,7,6,4,3]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,5,3,1,4,6,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[2,5,3,1,4,7,6]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,5,3,1,6,4,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,5,3,1,6,7,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,5,3,1,7,4,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,5,3,1,7,6,4]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,5,3,4,1,6,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,5,3,4,1,7,6]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,5,3,4,6,1,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,5,3,4,6,7,1]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,5,3,4,7,1,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,5,3,4,7,6,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,5,3,6,1,4,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,5,3,6,1,7,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,5,3,6,4,1,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,5,3,6,4,7,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,5,3,6,7,1,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,5,3,6,7,4,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,5,3,7,1,4,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,5,3,7,1,6,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,5,3,7,4,1,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,5,3,7,4,6,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,5,3,7,6,1,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,5,3,7,6,4,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,5,4,1,3,6,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[2,5,4,1,3,7,6]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,5,4,1,6,3,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,5,4,1,6,7,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,5,4,1,7,3,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,5,4,1,7,6,3]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,5,4,3,1,6,7]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[2,5,4,3,1,7,6]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,5,4,3,6,1,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,5,4,3,6,7,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,5,4,3,7,1,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,5,4,3,7,6,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,5,4,6,1,3,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,5,4,6,1,7,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,5,4,6,3,1,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,5,4,6,3,7,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,5,4,6,7,1,3]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,5,4,6,7,3,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,5,4,7,1,3,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,5,4,7,1,6,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,5,4,7,3,1,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,5,4,7,3,6,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,5,4,7,6,1,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,5,4,7,6,3,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,5,6,1,3,4,7]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[2,5,6,1,3,7,4]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,5,6,1,4,3,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,5,6,1,4,7,3]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,5,6,1,7,3,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,5,6,1,7,4,3]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,5,6,3,1,4,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[2,5,6,3,1,7,4]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,5,6,3,4,1,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,5,6,3,4,7,1]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,5,6,3,7,1,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,5,6,3,7,4,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,5,6,4,1,3,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[2,5,6,4,1,7,3]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,5,6,4,3,1,7]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[2,5,6,4,3,7,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,5,6,4,7,1,3]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,5,6,4,7,3,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,5,6,7,1,3,4]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[2,5,6,7,1,4,3]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,5,6,7,3,1,4]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[2,5,6,7,3,4,1]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,5,6,7,4,1,3]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[2,5,6,7,4,3,1]=>[4,1,1,1]=>[[4,4,4,4],[3,3,3]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>20
[2,5,7,1,3,4,6]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[2,5,7,1,3,6,4]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,5,7,1,4,3,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,5,7,1,4,6,3]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,5,7,1,6,3,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,5,7,1,6,4,3]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,5,7,3,1,4,6]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[2,5,7,3,1,6,4]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,5,7,3,4,1,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,5,7,3,4,6,1]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,5,7,3,6,1,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,5,7,3,6,4,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,5,7,4,1,3,6]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[2,5,7,4,1,6,3]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,5,7,4,3,1,6]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[2,5,7,4,3,6,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,5,7,4,6,1,3]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,5,7,4,6,3,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,5,7,6,1,3,4]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[2,5,7,6,1,4,3]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,5,7,6,3,1,4]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[2,5,7,6,3,4,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,5,7,6,4,1,3]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[2,5,7,6,4,3,1]=>[3,1,1,1,1]=>[[3,3,3,3,3],[2,2,2,2]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[2,6,1,3,4,5,7]=>[2,5]=>[[6,2],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[2,6,1,3,4,7,5]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,6,1,3,5,4,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,6,1,3,5,7,4]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,6,1,3,7,4,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,6,1,3,7,5,4]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,6,1,4,3,5,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,6,1,4,3,7,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,6,1,4,5,3,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,6,1,4,5,7,3]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,6,1,4,7,3,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,6,1,4,7,5,3]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,6,1,5,3,4,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,6,1,5,3,7,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,6,1,5,4,3,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,6,1,5,4,7,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,6,1,5,7,3,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,6,1,5,7,4,3]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,6,1,7,3,4,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,6,1,7,3,5,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,6,1,7,4,3,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,6,1,7,4,5,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,6,1,7,5,3,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,6,1,7,5,4,3]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,6,3,1,4,5,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[2,6,3,1,4,7,5]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,6,3,1,5,4,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,6,3,1,5,7,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,6,3,1,7,4,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,6,3,1,7,5,4]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,6,3,4,1,5,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,6,3,4,1,7,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,6,3,4,5,1,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,6,3,4,5,7,1]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,6,3,4,7,1,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,6,3,4,7,5,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,6,3,5,1,4,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,6,3,5,1,7,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,6,3,5,4,1,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,6,3,5,4,7,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,6,3,5,7,1,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,6,3,5,7,4,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,6,3,7,1,4,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,6,3,7,1,5,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,6,3,7,4,1,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,6,3,7,4,5,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,6,3,7,5,1,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,6,3,7,5,4,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,6,4,1,3,5,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[2,6,4,1,3,7,5]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,6,4,1,5,3,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,6,4,1,5,7,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,6,4,1,7,3,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,6,4,1,7,5,3]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,6,4,3,1,5,7]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[2,6,4,3,1,7,5]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,6,4,3,5,1,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,6,4,3,5,7,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,6,4,3,7,1,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,6,4,3,7,5,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,6,4,5,1,3,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,6,4,5,1,7,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,6,4,5,3,1,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,6,4,5,3,7,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,6,4,5,7,1,3]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,6,4,5,7,3,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,6,4,7,1,3,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,6,4,7,1,5,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,6,4,7,3,1,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,6,4,7,3,5,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,6,4,7,5,1,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,6,4,7,5,3,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,6,5,1,3,4,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[2,6,5,1,3,7,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,6,5,1,4,3,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,6,5,1,4,7,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,6,5,1,7,3,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,6,5,1,7,4,3]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,6,5,3,1,4,7]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[2,6,5,3,1,7,4]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,6,5,3,4,1,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,6,5,3,4,7,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,6,5,3,7,1,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,6,5,3,7,4,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,6,5,4,1,3,7]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[2,6,5,4,1,7,3]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,6,5,4,3,1,7]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[2,6,5,4,3,7,1]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,6,5,4,7,1,3]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,6,5,4,7,3,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,6,5,7,1,3,4]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,6,5,7,1,4,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,6,5,7,3,1,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,6,5,7,3,4,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,6,5,7,4,1,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,6,5,7,4,3,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,6,7,1,3,4,5]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[2,6,7,1,3,5,4]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,6,7,1,4,3,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,6,7,1,4,5,3]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,6,7,1,5,3,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,6,7,1,5,4,3]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,6,7,3,1,4,5]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[2,6,7,3,1,5,4]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,6,7,3,4,1,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,6,7,3,4,5,1]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,6,7,3,5,1,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,6,7,3,5,4,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,6,7,4,1,3,5]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[2,6,7,4,1,5,3]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,6,7,4,3,1,5]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[2,6,7,4,3,5,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,6,7,4,5,1,3]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[2,6,7,4,5,3,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[2,6,7,5,1,3,4]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[2,6,7,5,1,4,3]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,6,7,5,3,1,4]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[2,6,7,5,3,4,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,6,7,5,4,1,3]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[2,6,7,5,4,3,1]=>[3,1,1,1,1]=>[[3,3,3,3,3],[2,2,2,2]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[2,7,1,3,4,5,6]=>[2,5]=>[[6,2],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[2,7,1,3,4,6,5]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,7,1,3,5,4,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,7,1,3,5,6,4]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,7,1,3,6,4,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,7,1,3,6,5,4]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,7,1,4,3,5,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,7,1,4,3,6,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,7,1,4,5,3,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,7,1,4,5,6,3]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,7,1,4,6,3,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,7,1,4,6,5,3]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,7,1,5,3,4,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,7,1,5,3,6,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,7,1,5,4,3,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,7,1,5,4,6,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,7,1,5,6,3,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,7,1,5,6,4,3]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,7,1,6,3,4,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,7,1,6,3,5,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,7,1,6,4,3,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,7,1,6,4,5,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,7,1,6,5,3,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,7,1,6,5,4,3]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,7,3,1,4,5,6]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[2,7,3,1,4,6,5]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,7,3,1,5,4,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,7,3,1,5,6,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,7,3,1,6,4,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,7,3,1,6,5,4]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,7,3,4,1,5,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,7,3,4,1,6,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,7,3,4,5,1,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,7,3,4,5,6,1]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,7,3,4,6,1,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,7,3,4,6,5,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,7,3,5,1,4,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,7,3,5,1,6,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,7,3,5,4,1,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,7,3,5,4,6,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,7,3,5,6,1,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,7,3,5,6,4,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,7,3,6,1,4,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,7,3,6,1,5,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,7,3,6,4,1,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,7,3,6,4,5,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,7,3,6,5,1,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,7,3,6,5,4,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,7,4,1,3,5,6]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[2,7,4,1,3,6,5]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,7,4,1,5,3,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,7,4,1,5,6,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,7,4,1,6,3,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,7,4,1,6,5,3]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,7,4,3,1,5,6]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[2,7,4,3,1,6,5]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,7,4,3,5,1,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,7,4,3,5,6,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,7,4,3,6,1,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,7,4,3,6,5,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,7,4,5,1,3,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,7,4,5,1,6,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,7,4,5,3,1,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,7,4,5,3,6,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,7,4,5,6,1,3]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[2,7,4,5,6,3,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[2,7,4,6,1,3,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,7,4,6,1,5,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,7,4,6,3,1,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,7,4,6,3,5,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,7,4,6,5,1,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,7,4,6,5,3,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,7,5,1,3,4,6]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[2,7,5,1,3,6,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,7,5,1,4,3,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,7,5,1,4,6,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,7,5,1,6,3,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,7,5,1,6,4,3]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,7,5,3,1,4,6]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[2,7,5,3,1,6,4]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,7,5,3,4,1,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,7,5,3,4,6,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,7,5,3,6,1,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,7,5,3,6,4,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,7,5,4,1,3,6]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[2,7,5,4,1,6,3]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,7,5,4,3,1,6]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[2,7,5,4,3,6,1]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,7,5,4,6,1,3]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,7,5,4,6,3,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,7,5,6,1,3,4]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[2,7,5,6,1,4,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,7,5,6,3,1,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,7,5,6,3,4,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[2,7,5,6,4,1,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[2,7,5,6,4,3,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[2,7,6,1,3,4,5]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[2,7,6,1,3,5,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,7,6,1,4,3,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,7,6,1,4,5,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,7,6,1,5,3,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,7,6,1,5,4,3]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,7,6,3,1,4,5]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[2,7,6,3,1,5,4]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,7,6,3,4,1,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,7,6,3,4,5,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[2,7,6,3,5,1,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,7,6,3,5,4,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,7,6,4,1,3,5]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[2,7,6,4,1,5,3]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,7,6,4,3,1,5]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[2,7,6,4,3,5,1]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,7,6,4,5,1,3]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[2,7,6,4,5,3,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[2,7,6,5,1,3,4]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[2,7,6,5,1,4,3]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,7,6,5,3,1,4]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[2,7,6,5,3,4,1]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[2,7,6,5,4,1,3]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[2,7,6,5,4,3,1]=>[2,1,1,1,1,1]=>[[2,2,2,2,2,2],[1,1,1,1,1]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>6
[3,1,2,4,5,6,7]=>[1,6]=>[[6,1],[]]=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>6
[3,1,2,4,5,7,6]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[3,1,2,4,6,5,7]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[3,1,2,4,6,7,5]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[3,1,2,4,7,5,6]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[3,1,2,4,7,6,5]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[3,1,2,5,4,6,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[3,1,2,5,4,7,6]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,1,2,5,6,4,7]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[3,1,2,5,6,7,4]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[3,1,2,5,7,4,6]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[3,1,2,5,7,6,4]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[3,1,2,6,4,5,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[3,1,2,6,4,7,5]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,1,2,6,5,4,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[3,1,2,6,5,7,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,1,2,6,7,4,5]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[3,1,2,6,7,5,4]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[3,1,2,7,4,5,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[3,1,2,7,4,6,5]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,1,2,7,5,4,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[3,1,2,7,5,6,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,1,2,7,6,4,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[3,1,2,7,6,5,4]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[3,1,4,2,5,6,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[3,1,4,2,5,7,6]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,1,4,2,6,5,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,1,4,2,6,7,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,1,4,2,7,5,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,1,4,2,7,6,5]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,1,4,5,2,6,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[3,1,4,5,2,7,6]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,1,4,5,6,2,7]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[3,1,4,5,6,7,2]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[3,1,4,5,7,2,6]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[3,1,4,5,7,6,2]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[3,1,4,6,2,5,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[3,1,4,6,2,7,5]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,1,4,6,5,2,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[3,1,4,6,5,7,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,1,4,6,7,2,5]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[3,1,4,6,7,5,2]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[3,1,4,7,2,5,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[3,1,4,7,2,6,5]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,1,4,7,5,2,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[3,1,4,7,5,6,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,1,4,7,6,2,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[3,1,4,7,6,5,2]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[3,1,5,2,4,6,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[3,1,5,2,4,7,6]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,1,5,2,6,4,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,1,5,2,6,7,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,1,5,2,7,4,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,1,5,2,7,6,4]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,1,5,4,2,6,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[3,1,5,4,2,7,6]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,1,5,4,6,2,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,1,5,4,6,7,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,1,5,4,7,2,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,1,5,4,7,6,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,1,5,6,2,4,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[3,1,5,6,2,7,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,1,5,6,4,2,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[3,1,5,6,4,7,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,1,5,6,7,2,4]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[3,1,5,6,7,4,2]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[3,1,5,7,2,4,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[3,1,5,7,2,6,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,1,5,7,4,2,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[3,1,5,7,4,6,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,1,5,7,6,2,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[3,1,5,7,6,4,2]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[3,1,6,2,4,5,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[3,1,6,2,4,7,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,1,6,2,5,4,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,1,6,2,5,7,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,1,6,2,7,4,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,1,6,2,7,5,4]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,1,6,4,2,5,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[3,1,6,4,2,7,5]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,1,6,4,5,2,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,1,6,4,5,7,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,1,6,4,7,2,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,1,6,4,7,5,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,1,6,5,2,4,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[3,1,6,5,2,7,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,1,6,5,4,2,7]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[3,1,6,5,4,7,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,1,6,5,7,2,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,1,6,5,7,4,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,1,6,7,2,4,5]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[3,1,6,7,2,5,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,1,6,7,4,2,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[3,1,6,7,4,5,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,1,6,7,5,2,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[3,1,6,7,5,4,2]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[3,1,7,2,4,5,6]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[3,1,7,2,4,6,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,1,7,2,5,4,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,1,7,2,5,6,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,1,7,2,6,4,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,1,7,2,6,5,4]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,1,7,4,2,5,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[3,1,7,4,2,6,5]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,1,7,4,5,2,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,1,7,4,5,6,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,1,7,4,6,2,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,1,7,4,6,5,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,1,7,5,2,4,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[3,1,7,5,2,6,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,1,7,5,4,2,6]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[3,1,7,5,4,6,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,1,7,5,6,2,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,1,7,5,6,4,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,1,7,6,2,4,5]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[3,1,7,6,2,5,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,1,7,6,4,2,5]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[3,1,7,6,4,5,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,1,7,6,5,2,4]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[3,1,7,6,5,4,2]=>[1,2,1,1,1,1]=>[[2,2,2,2,2,1],[1,1,1,1]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[3,2,1,4,5,6,7]=>[1,1,5]=>[[5,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[3,2,1,4,5,7,6]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[3,2,1,4,6,5,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[3,2,1,4,6,7,5]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[3,2,1,4,7,5,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[3,2,1,4,7,6,5]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[3,2,1,5,4,6,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[3,2,1,5,4,7,6]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,2,1,5,6,4,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[3,2,1,5,6,7,4]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[3,2,1,5,7,4,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[3,2,1,5,7,6,4]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[3,2,1,6,4,5,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[3,2,1,6,4,7,5]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,2,1,6,5,4,7]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[3,2,1,6,5,7,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,2,1,6,7,4,5]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[3,2,1,6,7,5,4]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[3,2,1,7,4,5,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[3,2,1,7,4,6,5]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,2,1,7,5,4,6]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[3,2,1,7,5,6,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,2,1,7,6,4,5]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[3,2,1,7,6,5,4]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[3,2,4,1,5,6,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[3,2,4,1,5,7,6]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,2,4,1,6,5,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,2,4,1,6,7,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,2,4,1,7,5,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,2,4,1,7,6,5]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,2,4,5,1,6,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[3,2,4,5,1,7,6]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,2,4,5,6,1,7]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[3,2,4,5,6,7,1]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[3,2,4,5,7,1,6]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[3,2,4,5,7,6,1]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[3,2,4,6,1,5,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[3,2,4,6,1,7,5]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,2,4,6,5,1,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[3,2,4,6,5,7,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,2,4,6,7,1,5]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[3,2,4,6,7,5,1]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[3,2,4,7,1,5,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[3,2,4,7,1,6,5]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,2,4,7,5,1,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[3,2,4,7,5,6,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,2,4,7,6,1,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[3,2,4,7,6,5,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[3,2,5,1,4,6,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[3,2,5,1,4,7,6]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,2,5,1,6,4,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,2,5,1,6,7,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,2,5,1,7,4,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,2,5,1,7,6,4]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,2,5,4,1,6,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[3,2,5,4,1,7,6]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,2,5,4,6,1,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,2,5,4,6,7,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,2,5,4,7,1,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,2,5,4,7,6,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,2,5,6,1,4,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[3,2,5,6,1,7,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,2,5,6,4,1,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[3,2,5,6,4,7,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,2,5,6,7,1,4]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[3,2,5,6,7,4,1]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[3,2,5,7,1,4,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[3,2,5,7,1,6,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,2,5,7,4,1,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[3,2,5,7,4,6,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,2,5,7,6,1,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[3,2,5,7,6,4,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[3,2,6,1,4,5,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[3,2,6,1,4,7,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,2,6,1,5,4,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,2,6,1,5,7,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,2,6,1,7,4,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,2,6,1,7,5,4]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,2,6,4,1,5,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[3,2,6,4,1,7,5]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,2,6,4,5,1,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,2,6,4,5,7,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,2,6,4,7,1,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,2,6,4,7,5,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,2,6,5,1,4,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[3,2,6,5,1,7,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,2,6,5,4,1,7]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[3,2,6,5,4,7,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,2,6,5,7,1,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,2,6,5,7,4,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,2,6,7,1,4,5]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[3,2,6,7,1,5,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,2,6,7,4,1,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[3,2,6,7,4,5,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,2,6,7,5,1,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[3,2,6,7,5,4,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[3,2,7,1,4,5,6]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[3,2,7,1,4,6,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,2,7,1,5,4,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,2,7,1,5,6,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,2,7,1,6,4,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,2,7,1,6,5,4]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,2,7,4,1,5,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[3,2,7,4,1,6,5]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,2,7,4,5,1,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,2,7,4,5,6,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,2,7,4,6,1,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,2,7,4,6,5,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,2,7,5,1,4,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[3,2,7,5,1,6,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,2,7,5,4,1,6]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[3,2,7,5,4,6,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,2,7,5,6,1,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[3,2,7,5,6,4,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,2,7,6,1,4,5]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[3,2,7,6,1,5,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,2,7,6,4,1,5]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[3,2,7,6,4,5,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,2,7,6,5,1,4]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[3,2,7,6,5,4,1]=>[1,2,1,1,1,1]=>[[2,2,2,2,2,1],[1,1,1,1]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[3,4,1,2,5,6,7]=>[2,5]=>[[6,2],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[3,4,1,2,5,7,6]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,4,1,2,6,5,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,4,1,2,6,7,5]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,4,1,2,7,5,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,4,1,2,7,6,5]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,4,1,5,2,6,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,4,1,5,2,7,6]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,4,1,5,6,2,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,4,1,5,6,7,2]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,4,1,5,7,2,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,4,1,5,7,6,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,4,1,6,2,5,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,4,1,6,2,7,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,4,1,6,5,2,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,4,1,6,5,7,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,4,1,6,7,2,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,4,1,6,7,5,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,4,1,7,2,5,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,4,1,7,2,6,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,4,1,7,5,2,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,4,1,7,5,6,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,4,1,7,6,2,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,4,1,7,6,5,2]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[3,4,2,1,5,6,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[3,4,2,1,5,7,6]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,4,2,1,6,5,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,4,2,1,6,7,5]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,4,2,1,7,5,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,4,2,1,7,6,5]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,4,2,5,1,6,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,4,2,5,1,7,6]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,4,2,5,6,1,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,4,2,5,6,7,1]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,4,2,5,7,1,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,4,2,5,7,6,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,4,2,6,1,5,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,4,2,6,1,7,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,4,2,6,5,1,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,4,2,6,5,7,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,4,2,6,7,1,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,4,2,6,7,5,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,4,2,7,1,5,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,4,2,7,1,6,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,4,2,7,5,1,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,4,2,7,5,6,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,4,2,7,6,1,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,4,2,7,6,5,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[3,4,5,1,2,6,7]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[3,4,5,1,2,7,6]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,4,5,1,6,2,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,4,5,1,6,7,2]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,4,5,1,7,2,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,4,5,1,7,6,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[3,4,5,2,1,6,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[3,4,5,2,1,7,6]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,4,5,2,6,1,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,4,5,2,6,7,1]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,4,5,2,7,1,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,4,5,2,7,6,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[3,4,5,6,1,2,7]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[3,4,5,6,1,7,2]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[3,4,5,6,2,1,7]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[3,4,5,6,2,7,1]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[3,4,5,6,7,1,2]=>[5,2]=>[[6,5],[4]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[3,4,5,6,7,2,1]=>[5,1,1]=>[[5,5,5],[4,4]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[3,4,5,7,1,2,6]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[3,4,5,7,1,6,2]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[3,4,5,7,2,1,6]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[3,4,5,7,2,6,1]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[3,4,5,7,6,1,2]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[3,4,5,7,6,2,1]=>[4,1,1,1]=>[[4,4,4,4],[3,3,3]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>20
[3,4,6,1,2,5,7]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[3,4,6,1,2,7,5]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,4,6,1,5,2,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,4,6,1,5,7,2]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,4,6,1,7,2,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,4,6,1,7,5,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[3,4,6,2,1,5,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[3,4,6,2,1,7,5]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,4,6,2,5,1,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,4,6,2,5,7,1]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,4,6,2,7,1,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,4,6,2,7,5,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[3,4,6,5,1,2,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[3,4,6,5,1,7,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,4,6,5,2,1,7]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[3,4,6,5,2,7,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,4,6,5,7,1,2]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,4,6,5,7,2,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[3,4,6,7,1,2,5]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[3,4,6,7,1,5,2]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[3,4,6,7,2,1,5]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[3,4,6,7,2,5,1]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[3,4,6,7,5,1,2]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[3,4,6,7,5,2,1]=>[4,1,1,1]=>[[4,4,4,4],[3,3,3]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>20
[3,4,7,1,2,5,6]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[3,4,7,1,2,6,5]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,4,7,1,5,2,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,4,7,1,5,6,2]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,4,7,1,6,2,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,4,7,1,6,5,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[3,4,7,2,1,5,6]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[3,4,7,2,1,6,5]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,4,7,2,5,1,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,4,7,2,5,6,1]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,4,7,2,6,1,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,4,7,2,6,5,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[3,4,7,5,1,2,6]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[3,4,7,5,1,6,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,4,7,5,2,1,6]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[3,4,7,5,2,6,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,4,7,5,6,1,2]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,4,7,5,6,2,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[3,4,7,6,1,2,5]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[3,4,7,6,1,5,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,4,7,6,2,1,5]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[3,4,7,6,2,5,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,4,7,6,5,1,2]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[3,4,7,6,5,2,1]=>[3,1,1,1,1]=>[[3,3,3,3,3],[2,2,2,2]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[3,5,1,2,4,6,7]=>[2,5]=>[[6,2],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[3,5,1,2,4,7,6]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,5,1,2,6,4,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,5,1,2,6,7,4]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,5,1,2,7,4,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,5,1,2,7,6,4]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,5,1,4,2,6,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,5,1,4,2,7,6]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,5,1,4,6,2,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,5,1,4,6,7,2]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,5,1,4,7,2,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,5,1,4,7,6,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,5,1,6,2,4,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,5,1,6,2,7,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,5,1,6,4,2,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,5,1,6,4,7,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,5,1,6,7,2,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,5,1,6,7,4,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,5,1,7,2,4,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,5,1,7,2,6,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,5,1,7,4,2,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,5,1,7,4,6,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,5,1,7,6,2,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,5,1,7,6,4,2]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[3,5,2,1,4,6,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[3,5,2,1,4,7,6]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,5,2,1,6,4,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,5,2,1,6,7,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,5,2,1,7,4,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,5,2,1,7,6,4]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,5,2,4,1,6,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,5,2,4,1,7,6]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,5,2,4,6,1,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,5,2,4,6,7,1]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,5,2,4,7,1,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,5,2,4,7,6,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,5,2,6,1,4,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,5,2,6,1,7,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,5,2,6,4,1,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,5,2,6,4,7,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,5,2,6,7,1,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,5,2,6,7,4,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,5,2,7,1,4,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,5,2,7,1,6,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,5,2,7,4,1,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,5,2,7,4,6,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,5,2,7,6,1,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,5,2,7,6,4,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[3,5,4,1,2,6,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[3,5,4,1,2,7,6]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,5,4,1,6,2,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,5,4,1,6,7,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,5,4,1,7,2,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,5,4,1,7,6,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,5,4,2,1,6,7]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[3,5,4,2,1,7,6]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,5,4,2,6,1,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,5,4,2,6,7,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,5,4,2,7,1,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,5,4,2,7,6,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,5,4,6,1,2,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,5,4,6,1,7,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,5,4,6,2,1,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,5,4,6,2,7,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,5,4,6,7,1,2]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,5,4,6,7,2,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,5,4,7,1,2,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,5,4,7,1,6,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,5,4,7,2,1,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,5,4,7,2,6,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,5,4,7,6,1,2]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,5,4,7,6,2,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[3,5,6,1,2,4,7]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[3,5,6,1,2,7,4]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,5,6,1,4,2,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,5,6,1,4,7,2]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,5,6,1,7,2,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,5,6,1,7,4,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[3,5,6,2,1,4,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[3,5,6,2,1,7,4]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,5,6,2,4,1,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,5,6,2,4,7,1]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,5,6,2,7,1,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,5,6,2,7,4,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[3,5,6,4,1,2,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[3,5,6,4,1,7,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,5,6,4,2,1,7]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[3,5,6,4,2,7,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,5,6,4,7,1,2]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,5,6,4,7,2,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[3,5,6,7,1,2,4]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[3,5,6,7,1,4,2]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[3,5,6,7,2,1,4]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[3,5,6,7,2,4,1]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[3,5,6,7,4,1,2]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[3,5,6,7,4,2,1]=>[4,1,1,1]=>[[4,4,4,4],[3,3,3]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>20
[3,5,7,1,2,4,6]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[3,5,7,1,2,6,4]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,5,7,1,4,2,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,5,7,1,4,6,2]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,5,7,1,6,2,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,5,7,1,6,4,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[3,5,7,2,1,4,6]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[3,5,7,2,1,6,4]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,5,7,2,4,1,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,5,7,2,4,6,1]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,5,7,2,6,1,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,5,7,2,6,4,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[3,5,7,4,1,2,6]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[3,5,7,4,1,6,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,5,7,4,2,1,6]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[3,5,7,4,2,6,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,5,7,4,6,1,2]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,5,7,4,6,2,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[3,5,7,6,1,2,4]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[3,5,7,6,1,4,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,5,7,6,2,1,4]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[3,5,7,6,2,4,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,5,7,6,4,1,2]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[3,5,7,6,4,2,1]=>[3,1,1,1,1]=>[[3,3,3,3,3],[2,2,2,2]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[3,6,1,2,4,5,7]=>[2,5]=>[[6,2],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[3,6,1,2,4,7,5]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,6,1,2,5,4,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,6,1,2,5,7,4]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,6,1,2,7,4,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,6,1,2,7,5,4]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,6,1,4,2,5,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,6,1,4,2,7,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,6,1,4,5,2,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,6,1,4,5,7,2]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,6,1,4,7,2,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,6,1,4,7,5,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,6,1,5,2,4,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,6,1,5,2,7,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,6,1,5,4,2,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,6,1,5,4,7,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,6,1,5,7,2,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,6,1,5,7,4,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,6,1,7,2,4,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,6,1,7,2,5,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,6,1,7,4,2,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,6,1,7,4,5,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,6,1,7,5,2,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,6,1,7,5,4,2]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[3,6,2,1,4,5,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[3,6,2,1,4,7,5]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,6,2,1,5,4,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,6,2,1,5,7,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,6,2,1,7,4,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,6,2,1,7,5,4]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,6,2,4,1,5,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,6,2,4,1,7,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,6,2,4,5,1,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,6,2,4,5,7,1]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,6,2,4,7,1,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,6,2,4,7,5,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,6,2,5,1,4,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,6,2,5,1,7,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,6,2,5,4,1,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,6,2,5,4,7,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,6,2,5,7,1,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,6,2,5,7,4,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,6,2,7,1,4,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,6,2,7,1,5,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,6,2,7,4,1,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,6,2,7,4,5,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,6,2,7,5,1,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,6,2,7,5,4,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[3,6,4,1,2,5,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[3,6,4,1,2,7,5]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,6,4,1,5,2,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,6,4,1,5,7,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,6,4,1,7,2,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,6,4,1,7,5,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,6,4,2,1,5,7]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[3,6,4,2,1,7,5]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,6,4,2,5,1,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,6,4,2,5,7,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,6,4,2,7,1,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,6,4,2,7,5,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,6,4,5,1,2,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,6,4,5,1,7,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,6,4,5,2,1,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,6,4,5,2,7,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,6,4,5,7,1,2]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,6,4,5,7,2,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,6,4,7,1,2,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,6,4,7,1,5,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,6,4,7,2,1,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,6,4,7,2,5,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,6,4,7,5,1,2]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,6,4,7,5,2,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[3,6,5,1,2,4,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[3,6,5,1,2,7,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,6,5,1,4,2,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,6,5,1,4,7,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,6,5,1,7,2,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,6,5,1,7,4,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,6,5,2,1,4,7]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[3,6,5,2,1,7,4]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,6,5,2,4,1,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,6,5,2,4,7,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,6,5,2,7,1,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,6,5,2,7,4,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,6,5,4,1,2,7]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[3,6,5,4,1,7,2]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,6,5,4,2,1,7]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[3,6,5,4,2,7,1]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,6,5,4,7,1,2]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,6,5,4,7,2,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,6,5,7,1,2,4]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,6,5,7,1,4,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,6,5,7,2,1,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,6,5,7,2,4,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,6,5,7,4,1,2]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,6,5,7,4,2,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[3,6,7,1,2,4,5]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[3,6,7,1,2,5,4]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,6,7,1,4,2,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,6,7,1,4,5,2]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,6,7,1,5,2,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,6,7,1,5,4,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[3,6,7,2,1,4,5]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[3,6,7,2,1,5,4]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,6,7,2,4,1,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,6,7,2,4,5,1]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,6,7,2,5,1,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,6,7,2,5,4,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[3,6,7,4,1,2,5]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[3,6,7,4,1,5,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,6,7,4,2,1,5]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[3,6,7,4,2,5,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,6,7,4,5,1,2]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[3,6,7,4,5,2,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[3,6,7,5,1,2,4]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[3,6,7,5,1,4,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,6,7,5,2,1,4]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[3,6,7,5,2,4,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,6,7,5,4,1,2]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[3,6,7,5,4,2,1]=>[3,1,1,1,1]=>[[3,3,3,3,3],[2,2,2,2]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[3,7,1,2,4,5,6]=>[2,5]=>[[6,2],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[3,7,1,2,4,6,5]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,7,1,2,5,4,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,7,1,2,5,6,4]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,7,1,2,6,4,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,7,1,2,6,5,4]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,7,1,4,2,5,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,7,1,4,2,6,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,7,1,4,5,2,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,7,1,4,5,6,2]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,7,1,4,6,2,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,7,1,4,6,5,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,7,1,5,2,4,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,7,1,5,2,6,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,7,1,5,4,2,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,7,1,5,4,6,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,7,1,5,6,2,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,7,1,5,6,4,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,7,1,6,2,4,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,7,1,6,2,5,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,7,1,6,4,2,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,7,1,6,4,5,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,7,1,6,5,2,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,7,1,6,5,4,2]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[3,7,2,1,4,5,6]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[3,7,2,1,4,6,5]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,7,2,1,5,4,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,7,2,1,5,6,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,7,2,1,6,4,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,7,2,1,6,5,4]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,7,2,4,1,5,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,7,2,4,1,6,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,7,2,4,5,1,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,7,2,4,5,6,1]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,7,2,4,6,1,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,7,2,4,6,5,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,7,2,5,1,4,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,7,2,5,1,6,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,7,2,5,4,1,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,7,2,5,4,6,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,7,2,5,6,1,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,7,2,5,6,4,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,7,2,6,1,4,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,7,2,6,1,5,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,7,2,6,4,1,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,7,2,6,4,5,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,7,2,6,5,1,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,7,2,6,5,4,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[3,7,4,1,2,5,6]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[3,7,4,1,2,6,5]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,7,4,1,5,2,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,7,4,1,5,6,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,7,4,1,6,2,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,7,4,1,6,5,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,7,4,2,1,5,6]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[3,7,4,2,1,6,5]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,7,4,2,5,1,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,7,4,2,5,6,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,7,4,2,6,1,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,7,4,2,6,5,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,7,4,5,1,2,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,7,4,5,1,6,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,7,4,5,2,1,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,7,4,5,2,6,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,7,4,5,6,1,2]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[3,7,4,5,6,2,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[3,7,4,6,1,2,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,7,4,6,1,5,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,7,4,6,2,1,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,7,4,6,2,5,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,7,4,6,5,1,2]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,7,4,6,5,2,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[3,7,5,1,2,4,6]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[3,7,5,1,2,6,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,7,5,1,4,2,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,7,5,1,4,6,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,7,5,1,6,2,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,7,5,1,6,4,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,7,5,2,1,4,6]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[3,7,5,2,1,6,4]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,7,5,2,4,1,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,7,5,2,4,6,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,7,5,2,6,1,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,7,5,2,6,4,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,7,5,4,1,2,6]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[3,7,5,4,1,6,2]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,7,5,4,2,1,6]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[3,7,5,4,2,6,1]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,7,5,4,6,1,2]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,7,5,4,6,2,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,7,5,6,1,2,4]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[3,7,5,6,1,4,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,7,5,6,2,1,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,7,5,6,2,4,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[3,7,5,6,4,1,2]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[3,7,5,6,4,2,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[3,7,6,1,2,4,5]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[3,7,6,1,2,5,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,7,6,1,4,2,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,7,6,1,4,5,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,7,6,1,5,2,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,7,6,1,5,4,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,7,6,2,1,4,5]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[3,7,6,2,1,5,4]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,7,6,2,4,1,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,7,6,2,4,5,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[3,7,6,2,5,1,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,7,6,2,5,4,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,7,6,4,1,2,5]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[3,7,6,4,1,5,2]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,7,6,4,2,1,5]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[3,7,6,4,2,5,1]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,7,6,4,5,1,2]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[3,7,6,4,5,2,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[3,7,6,5,1,2,4]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[3,7,6,5,1,4,2]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,7,6,5,2,1,4]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[3,7,6,5,2,4,1]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[3,7,6,5,4,1,2]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[3,7,6,5,4,2,1]=>[2,1,1,1,1,1]=>[[2,2,2,2,2,2],[1,1,1,1,1]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>6
[4,1,2,3,5,6,7]=>[1,6]=>[[6,1],[]]=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>6
[4,1,2,3,5,7,6]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[4,1,2,3,6,5,7]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,1,2,3,6,7,5]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[4,1,2,3,7,5,6]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,1,2,3,7,6,5]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[4,1,2,5,3,6,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,1,2,5,3,7,6]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,1,2,5,6,3,7]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,1,2,5,6,7,3]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[4,1,2,5,7,3,6]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,1,2,5,7,6,3]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[4,1,2,6,3,5,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,1,2,6,3,7,5]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,1,2,6,5,3,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,1,2,6,5,7,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,1,2,6,7,3,5]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,1,2,6,7,5,3]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[4,1,2,7,3,5,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,1,2,7,3,6,5]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,1,2,7,5,3,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,1,2,7,5,6,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,1,2,7,6,3,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,1,2,7,6,5,3]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[4,1,3,2,5,6,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[4,1,3,2,5,7,6]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,1,3,2,6,5,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,1,3,2,6,7,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,1,3,2,7,5,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,1,3,2,7,6,5]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,1,3,5,2,6,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,1,3,5,2,7,6]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,1,3,5,6,2,7]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,1,3,5,6,7,2]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[4,1,3,5,7,2,6]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,1,3,5,7,6,2]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[4,1,3,6,2,5,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,1,3,6,2,7,5]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,1,3,6,5,2,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,1,3,6,5,7,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,1,3,6,7,2,5]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,1,3,6,7,5,2]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[4,1,3,7,2,5,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,1,3,7,2,6,5]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,1,3,7,5,2,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,1,3,7,5,6,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,1,3,7,6,2,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,1,3,7,6,5,2]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[4,1,5,2,3,6,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[4,1,5,2,3,7,6]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,1,5,2,6,3,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,1,5,2,6,7,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,1,5,2,7,3,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,1,5,2,7,6,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,1,5,3,2,6,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,1,5,3,2,7,6]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,1,5,3,6,2,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,1,5,3,6,7,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,1,5,3,7,2,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,1,5,3,7,6,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,1,5,6,2,3,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,1,5,6,2,7,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,1,5,6,3,2,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,1,5,6,3,7,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,1,5,6,7,2,3]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,1,5,6,7,3,2]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[4,1,5,7,2,3,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,1,5,7,2,6,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,1,5,7,3,2,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,1,5,7,3,6,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,1,5,7,6,2,3]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,1,5,7,6,3,2]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[4,1,6,2,3,5,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[4,1,6,2,3,7,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,1,6,2,5,3,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,1,6,2,5,7,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,1,6,2,7,3,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,1,6,2,7,5,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,1,6,3,2,5,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,1,6,3,2,7,5]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,1,6,3,5,2,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,1,6,3,5,7,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,1,6,3,7,2,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,1,6,3,7,5,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,1,6,5,2,3,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,1,6,5,2,7,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,1,6,5,3,2,7]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,1,6,5,3,7,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,1,6,5,7,2,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,1,6,5,7,3,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,1,6,7,2,3,5]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,1,6,7,2,5,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,1,6,7,3,2,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,1,6,7,3,5,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,1,6,7,5,2,3]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,1,6,7,5,3,2]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[4,1,7,2,3,5,6]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[4,1,7,2,3,6,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,1,7,2,5,3,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,1,7,2,5,6,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,1,7,2,6,3,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,1,7,2,6,5,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,1,7,3,2,5,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,1,7,3,2,6,5]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,1,7,3,5,2,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,1,7,3,5,6,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,1,7,3,6,2,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,1,7,3,6,5,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,1,7,5,2,3,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,1,7,5,2,6,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,1,7,5,3,2,6]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,1,7,5,3,6,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,1,7,5,6,2,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,1,7,5,6,3,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,1,7,6,2,3,5]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,1,7,6,2,5,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,1,7,6,3,2,5]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,1,7,6,3,5,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,1,7,6,5,2,3]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,1,7,6,5,3,2]=>[1,2,1,1,1,1]=>[[2,2,2,2,2,1],[1,1,1,1]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[4,2,1,3,5,6,7]=>[1,1,5]=>[[5,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[4,2,1,3,5,7,6]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[4,2,1,3,6,5,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,2,1,3,6,7,5]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[4,2,1,3,7,5,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,2,1,3,7,6,5]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[4,2,1,5,3,6,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[4,2,1,5,3,7,6]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,2,1,5,6,3,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,2,1,5,6,7,3]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[4,2,1,5,7,3,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,2,1,5,7,6,3]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[4,2,1,6,3,5,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[4,2,1,6,3,7,5]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,2,1,6,5,3,7]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,2,1,6,5,7,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,2,1,6,7,3,5]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,2,1,6,7,5,3]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[4,2,1,7,3,5,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[4,2,1,7,3,6,5]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,2,1,7,5,3,6]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,2,1,7,5,6,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,2,1,7,6,3,5]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,2,1,7,6,5,3]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[4,2,3,1,5,6,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[4,2,3,1,5,7,6]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,2,3,1,6,5,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,2,3,1,6,7,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,2,3,1,7,5,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,2,3,1,7,6,5]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,2,3,5,1,6,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,2,3,5,1,7,6]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,2,3,5,6,1,7]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,2,3,5,6,7,1]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[4,2,3,5,7,1,6]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,2,3,5,7,6,1]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[4,2,3,6,1,5,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,2,3,6,1,7,5]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,2,3,6,5,1,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,2,3,6,5,7,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,2,3,6,7,1,5]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,2,3,6,7,5,1]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[4,2,3,7,1,5,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,2,3,7,1,6,5]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,2,3,7,5,1,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,2,3,7,5,6,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,2,3,7,6,1,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,2,3,7,6,5,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[4,2,5,1,3,6,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[4,2,5,1,3,7,6]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,2,5,1,6,3,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,2,5,1,6,7,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,2,5,1,7,3,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,2,5,1,7,6,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,2,5,3,1,6,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,2,5,3,1,7,6]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,2,5,3,6,1,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,2,5,3,6,7,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,2,5,3,7,1,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,2,5,3,7,6,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,2,5,6,1,3,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,2,5,6,1,7,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,2,5,6,3,1,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,2,5,6,3,7,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,2,5,6,7,1,3]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,2,5,6,7,3,1]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[4,2,5,7,1,3,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,2,5,7,1,6,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,2,5,7,3,1,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,2,5,7,3,6,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,2,5,7,6,1,3]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,2,5,7,6,3,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[4,2,6,1,3,5,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[4,2,6,1,3,7,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,2,6,1,5,3,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,2,6,1,5,7,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,2,6,1,7,3,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,2,6,1,7,5,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,2,6,3,1,5,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,2,6,3,1,7,5]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,2,6,3,5,1,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,2,6,3,5,7,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,2,6,3,7,1,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,2,6,3,7,5,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,2,6,5,1,3,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,2,6,5,1,7,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,2,6,5,3,1,7]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,2,6,5,3,7,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,2,6,5,7,1,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,2,6,5,7,3,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,2,6,7,1,3,5]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,2,6,7,1,5,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,2,6,7,3,1,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,2,6,7,3,5,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,2,6,7,5,1,3]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,2,6,7,5,3,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[4,2,7,1,3,5,6]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[4,2,7,1,3,6,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,2,7,1,5,3,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,2,7,1,5,6,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,2,7,1,6,3,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,2,7,1,6,5,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,2,7,3,1,5,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,2,7,3,1,6,5]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,2,7,3,5,1,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,2,7,3,5,6,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,2,7,3,6,1,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,2,7,3,6,5,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,2,7,5,1,3,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,2,7,5,1,6,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,2,7,5,3,1,6]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,2,7,5,3,6,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,2,7,5,6,1,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,2,7,5,6,3,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,2,7,6,1,3,5]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,2,7,6,1,5,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,2,7,6,3,1,5]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,2,7,6,3,5,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,2,7,6,5,1,3]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,2,7,6,5,3,1]=>[1,2,1,1,1,1]=>[[2,2,2,2,2,1],[1,1,1,1]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[4,3,1,2,5,6,7]=>[1,1,5]=>[[5,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[4,3,1,2,5,7,6]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[4,3,1,2,6,5,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,3,1,2,6,7,5]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[4,3,1,2,7,5,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,3,1,2,7,6,5]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[4,3,1,5,2,6,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[4,3,1,5,2,7,6]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,3,1,5,6,2,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,3,1,5,6,7,2]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[4,3,1,5,7,2,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,3,1,5,7,6,2]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[4,3,1,6,2,5,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[4,3,1,6,2,7,5]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,3,1,6,5,2,7]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,3,1,6,5,7,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,3,1,6,7,2,5]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,3,1,6,7,5,2]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[4,3,1,7,2,5,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[4,3,1,7,2,6,5]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,3,1,7,5,2,6]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,3,1,7,5,6,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,3,1,7,6,2,5]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,3,1,7,6,5,2]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[4,3,2,1,5,6,7]=>[1,1,1,4]=>[[4,1,1,1],[]]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>20
[4,3,2,1,5,7,6]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[4,3,2,1,6,5,7]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[4,3,2,1,6,7,5]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[4,3,2,1,7,5,6]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[4,3,2,1,7,6,5]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[4,3,2,5,1,6,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[4,3,2,5,1,7,6]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,3,2,5,6,1,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,3,2,5,6,7,1]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[4,3,2,5,7,1,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,3,2,5,7,6,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[4,3,2,6,1,5,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[4,3,2,6,1,7,5]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,3,2,6,5,1,7]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,3,2,6,5,7,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,3,2,6,7,1,5]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,3,2,6,7,5,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[4,3,2,7,1,5,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[4,3,2,7,1,6,5]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,3,2,7,5,1,6]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,3,2,7,5,6,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,3,2,7,6,1,5]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,3,2,7,6,5,1]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[4,3,5,1,2,6,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[4,3,5,1,2,7,6]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,3,5,1,6,2,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,3,5,1,6,7,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,3,5,1,7,2,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,3,5,1,7,6,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,3,5,2,1,6,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,3,5,2,1,7,6]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,3,5,2,6,1,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,3,5,2,6,7,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,3,5,2,7,1,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,3,5,2,7,6,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,3,5,6,1,2,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,3,5,6,1,7,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,3,5,6,2,1,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,3,5,6,2,7,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,3,5,6,7,1,2]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,3,5,6,7,2,1]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[4,3,5,7,1,2,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,3,5,7,1,6,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,3,5,7,2,1,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,3,5,7,2,6,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,3,5,7,6,1,2]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,3,5,7,6,2,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[4,3,6,1,2,5,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[4,3,6,1,2,7,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,3,6,1,5,2,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,3,6,1,5,7,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,3,6,1,7,2,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,3,6,1,7,5,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,3,6,2,1,5,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,3,6,2,1,7,5]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,3,6,2,5,1,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,3,6,2,5,7,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,3,6,2,7,1,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,3,6,2,7,5,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,3,6,5,1,2,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,3,6,5,1,7,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,3,6,5,2,1,7]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,3,6,5,2,7,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,3,6,5,7,1,2]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,3,6,5,7,2,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,3,6,7,1,2,5]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[4,3,6,7,1,5,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,3,6,7,2,1,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,3,6,7,2,5,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,3,6,7,5,1,2]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[4,3,6,7,5,2,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[4,3,7,1,2,5,6]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[4,3,7,1,2,6,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,3,7,1,5,2,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,3,7,1,5,6,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,3,7,1,6,2,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,3,7,1,6,5,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,3,7,2,1,5,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,3,7,2,1,6,5]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,3,7,2,5,1,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,3,7,2,5,6,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,3,7,2,6,1,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,3,7,2,6,5,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,3,7,5,1,2,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,3,7,5,1,6,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,3,7,5,2,1,6]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,3,7,5,2,6,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,3,7,5,6,1,2]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[4,3,7,5,6,2,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,3,7,6,1,2,5]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[4,3,7,6,1,5,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,3,7,6,2,1,5]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,3,7,6,2,5,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,3,7,6,5,1,2]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[4,3,7,6,5,2,1]=>[1,2,1,1,1,1]=>[[2,2,2,2,2,1],[1,1,1,1]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[4,5,1,2,3,6,7]=>[2,5]=>[[6,2],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[4,5,1,2,3,7,6]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,5,1,2,6,3,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,5,1,2,6,7,3]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,5,1,2,7,3,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,5,1,2,7,6,3]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,5,1,3,2,6,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,5,1,3,2,7,6]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,5,1,3,6,2,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,5,1,3,6,7,2]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,5,1,3,7,2,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,5,1,3,7,6,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,5,1,6,2,3,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,5,1,6,2,7,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,5,1,6,3,2,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,5,1,6,3,7,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,5,1,6,7,2,3]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,5,1,6,7,3,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,5,1,7,2,3,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,5,1,7,2,6,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,5,1,7,3,2,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,5,1,7,3,6,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,5,1,7,6,2,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,5,1,7,6,3,2]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[4,5,2,1,3,6,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[4,5,2,1,3,7,6]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,5,2,1,6,3,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,5,2,1,6,7,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,5,2,1,7,3,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,5,2,1,7,6,3]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,5,2,3,1,6,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,5,2,3,1,7,6]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,5,2,3,6,1,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,5,2,3,6,7,1]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,5,2,3,7,1,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,5,2,3,7,6,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,5,2,6,1,3,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,5,2,6,1,7,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,5,2,6,3,1,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,5,2,6,3,7,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,5,2,6,7,1,3]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,5,2,6,7,3,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,5,2,7,1,3,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,5,2,7,1,6,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,5,2,7,3,1,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,5,2,7,3,6,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,5,2,7,6,1,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,5,2,7,6,3,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[4,5,3,1,2,6,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[4,5,3,1,2,7,6]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,5,3,1,6,2,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,5,3,1,6,7,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,5,3,1,7,2,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,5,3,1,7,6,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,5,3,2,1,6,7]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[4,5,3,2,1,7,6]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,5,3,2,6,1,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,5,3,2,6,7,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,5,3,2,7,1,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,5,3,2,7,6,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,5,3,6,1,2,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,5,3,6,1,7,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,5,3,6,2,1,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,5,3,6,2,7,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,5,3,6,7,1,2]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,5,3,6,7,2,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,5,3,7,1,2,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,5,3,7,1,6,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,5,3,7,2,1,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,5,3,7,2,6,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,5,3,7,6,1,2]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,5,3,7,6,2,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[4,5,6,1,2,3,7]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[4,5,6,1,2,7,3]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,5,6,1,3,2,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,5,6,1,3,7,2]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,5,6,1,7,2,3]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,5,6,1,7,3,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[4,5,6,2,1,3,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[4,5,6,2,1,7,3]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,5,6,2,3,1,7]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,5,6,2,3,7,1]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,5,6,2,7,1,3]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,5,6,2,7,3,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[4,5,6,3,1,2,7]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[4,5,6,3,1,7,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,5,6,3,2,1,7]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[4,5,6,3,2,7,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,5,6,3,7,1,2]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,5,6,3,7,2,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[4,5,6,7,1,2,3]=>[4,3]=>[[6,4],[3]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[4,5,6,7,1,3,2]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[4,5,6,7,2,1,3]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[4,5,6,7,2,3,1]=>[4,2,1]=>[[5,5,4],[4,3]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[4,5,6,7,3,1,2]=>[4,1,2]=>[[5,4,4],[3,3]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[4,5,6,7,3,2,1]=>[4,1,1,1]=>[[4,4,4,4],[3,3,3]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>20
[4,5,7,1,2,3,6]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[4,5,7,1,2,6,3]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,5,7,1,3,2,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,5,7,1,3,6,2]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,5,7,1,6,2,3]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,5,7,1,6,3,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[4,5,7,2,1,3,6]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[4,5,7,2,1,6,3]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,5,7,2,3,1,6]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,5,7,2,3,6,1]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,5,7,2,6,1,3]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,5,7,2,6,3,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[4,5,7,3,1,2,6]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[4,5,7,3,1,6,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,5,7,3,2,1,6]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[4,5,7,3,2,6,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,5,7,3,6,1,2]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,5,7,3,6,2,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[4,5,7,6,1,2,3]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[4,5,7,6,1,3,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,5,7,6,2,1,3]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[4,5,7,6,2,3,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,5,7,6,3,1,2]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[4,5,7,6,3,2,1]=>[3,1,1,1,1]=>[[3,3,3,3,3],[2,2,2,2]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[4,6,1,2,3,5,7]=>[2,5]=>[[6,2],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[4,6,1,2,3,7,5]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,6,1,2,5,3,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,6,1,2,5,7,3]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,6,1,2,7,3,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,6,1,2,7,5,3]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,6,1,3,2,5,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,6,1,3,2,7,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,6,1,3,5,2,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,6,1,3,5,7,2]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,6,1,3,7,2,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,6,1,3,7,5,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,6,1,5,2,3,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,6,1,5,2,7,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,6,1,5,3,2,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,6,1,5,3,7,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,6,1,5,7,2,3]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,6,1,5,7,3,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,6,1,7,2,3,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,6,1,7,2,5,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,6,1,7,3,2,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,6,1,7,3,5,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,6,1,7,5,2,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,6,1,7,5,3,2]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[4,6,2,1,3,5,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[4,6,2,1,3,7,5]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,6,2,1,5,3,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,6,2,1,5,7,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,6,2,1,7,3,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,6,2,1,7,5,3]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,6,2,3,1,5,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,6,2,3,1,7,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,6,2,3,5,1,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,6,2,3,5,7,1]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,6,2,3,7,1,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,6,2,3,7,5,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,6,2,5,1,3,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,6,2,5,1,7,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,6,2,5,3,1,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,6,2,5,3,7,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,6,2,5,7,1,3]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,6,2,5,7,3,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,6,2,7,1,3,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,6,2,7,1,5,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,6,2,7,3,1,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,6,2,7,3,5,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,6,2,7,5,1,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,6,2,7,5,3,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[4,6,3,1,2,5,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[4,6,3,1,2,7,5]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,6,3,1,5,2,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,6,3,1,5,7,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,6,3,1,7,2,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,6,3,1,7,5,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,6,3,2,1,5,7]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[4,6,3,2,1,7,5]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,6,3,2,5,1,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,6,3,2,5,7,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,6,3,2,7,1,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,6,3,2,7,5,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,6,3,5,1,2,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,6,3,5,1,7,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,6,3,5,2,1,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,6,3,5,2,7,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,6,3,5,7,1,2]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,6,3,5,7,2,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,6,3,7,1,2,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,6,3,7,1,5,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,6,3,7,2,1,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,6,3,7,2,5,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,6,3,7,5,1,2]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,6,3,7,5,2,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[4,6,5,1,2,3,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[4,6,5,1,2,7,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,6,5,1,3,2,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,6,5,1,3,7,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,6,5,1,7,2,3]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,6,5,1,7,3,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,6,5,2,1,3,7]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[4,6,5,2,1,7,3]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,6,5,2,3,1,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,6,5,2,3,7,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,6,5,2,7,1,3]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,6,5,2,7,3,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,6,5,3,1,2,7]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[4,6,5,3,1,7,2]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,6,5,3,2,1,7]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[4,6,5,3,2,7,1]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,6,5,3,7,1,2]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,6,5,3,7,2,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,6,5,7,1,2,3]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,6,5,7,1,3,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,6,5,7,2,1,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,6,5,7,2,3,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,6,5,7,3,1,2]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,6,5,7,3,2,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[4,6,7,1,2,3,5]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[4,6,7,1,2,5,3]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,6,7,1,3,2,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,6,7,1,3,5,2]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,6,7,1,5,2,3]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,6,7,1,5,3,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[4,6,7,2,1,3,5]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[4,6,7,2,1,5,3]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,6,7,2,3,1,5]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,6,7,2,3,5,1]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,6,7,2,5,1,3]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,6,7,2,5,3,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[4,6,7,3,1,2,5]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[4,6,7,3,1,5,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,6,7,3,2,1,5]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[4,6,7,3,2,5,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,6,7,3,5,1,2]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[4,6,7,3,5,2,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[4,6,7,5,1,2,3]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[4,6,7,5,1,3,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,6,7,5,2,1,3]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[4,6,7,5,2,3,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,6,7,5,3,1,2]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[4,6,7,5,3,2,1]=>[3,1,1,1,1]=>[[3,3,3,3,3],[2,2,2,2]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[4,7,1,2,3,5,6]=>[2,5]=>[[6,2],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[4,7,1,2,3,6,5]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,7,1,2,5,3,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,7,1,2,5,6,3]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,7,1,2,6,3,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,7,1,2,6,5,3]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,7,1,3,2,5,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,7,1,3,2,6,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,7,1,3,5,2,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,7,1,3,5,6,2]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,7,1,3,6,2,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,7,1,3,6,5,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,7,1,5,2,3,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,7,1,5,2,6,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,7,1,5,3,2,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,7,1,5,3,6,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,7,1,5,6,2,3]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,7,1,5,6,3,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,7,1,6,2,3,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,7,1,6,2,5,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,7,1,6,3,2,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,7,1,6,3,5,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,7,1,6,5,2,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,7,1,6,5,3,2]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[4,7,2,1,3,5,6]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[4,7,2,1,3,6,5]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,7,2,1,5,3,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,7,2,1,5,6,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,7,2,1,6,3,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,7,2,1,6,5,3]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,7,2,3,1,5,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,7,2,3,1,6,5]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,7,2,3,5,1,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,7,2,3,5,6,1]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,7,2,3,6,1,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,7,2,3,6,5,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,7,2,5,1,3,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,7,2,5,1,6,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,7,2,5,3,1,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,7,2,5,3,6,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,7,2,5,6,1,3]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,7,2,5,6,3,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,7,2,6,1,3,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,7,2,6,1,5,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,7,2,6,3,1,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,7,2,6,3,5,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,7,2,6,5,1,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,7,2,6,5,3,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[4,7,3,1,2,5,6]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[4,7,3,1,2,6,5]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,7,3,1,5,2,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,7,3,1,5,6,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,7,3,1,6,2,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,7,3,1,6,5,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,7,3,2,1,5,6]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[4,7,3,2,1,6,5]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,7,3,2,5,1,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,7,3,2,5,6,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,7,3,2,6,1,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,7,3,2,6,5,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,7,3,5,1,2,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,7,3,5,1,6,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,7,3,5,2,1,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,7,3,5,2,6,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,7,3,5,6,1,2]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[4,7,3,5,6,2,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[4,7,3,6,1,2,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,7,3,6,1,5,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,7,3,6,2,1,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,7,3,6,2,5,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,7,3,6,5,1,2]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,7,3,6,5,2,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[4,7,5,1,2,3,6]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[4,7,5,1,2,6,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,7,5,1,3,2,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,7,5,1,3,6,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,7,5,1,6,2,3]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,7,5,1,6,3,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,7,5,2,1,3,6]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[4,7,5,2,1,6,3]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,7,5,2,3,1,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,7,5,2,3,6,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,7,5,2,6,1,3]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,7,5,2,6,3,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,7,5,3,1,2,6]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[4,7,5,3,1,6,2]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,7,5,3,2,1,6]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[4,7,5,3,2,6,1]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,7,5,3,6,1,2]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,7,5,3,6,2,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,7,5,6,1,2,3]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[4,7,5,6,1,3,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,7,5,6,2,1,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,7,5,6,2,3,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[4,7,5,6,3,1,2]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[4,7,5,6,3,2,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[4,7,6,1,2,3,5]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[4,7,6,1,2,5,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,7,6,1,3,2,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,7,6,1,3,5,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,7,6,1,5,2,3]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,7,6,1,5,3,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,7,6,2,1,3,5]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[4,7,6,2,1,5,3]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,7,6,2,3,1,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,7,6,2,3,5,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[4,7,6,2,5,1,3]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,7,6,2,5,3,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,7,6,3,1,2,5]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[4,7,6,3,1,5,2]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,7,6,3,2,1,5]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[4,7,6,3,2,5,1]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,7,6,3,5,1,2]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[4,7,6,3,5,2,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[4,7,6,5,1,2,3]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[4,7,6,5,1,3,2]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,7,6,5,2,1,3]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[4,7,6,5,2,3,1]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[4,7,6,5,3,1,2]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[4,7,6,5,3,2,1]=>[2,1,1,1,1,1]=>[[2,2,2,2,2,2],[1,1,1,1,1]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>6
[5,1,2,3,4,6,7]=>[1,6]=>[[6,1],[]]=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>6
[5,1,2,3,4,7,6]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[5,1,2,3,6,4,7]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,1,2,3,6,7,4]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[5,1,2,3,7,4,6]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,1,2,3,7,6,4]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[5,1,2,4,3,6,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,1,2,4,3,7,6]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,1,2,4,6,3,7]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,1,2,4,6,7,3]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[5,1,2,4,7,3,6]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,1,2,4,7,6,3]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[5,1,2,6,3,4,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,1,2,6,3,7,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,1,2,6,4,3,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,1,2,6,4,7,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,1,2,6,7,3,4]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,1,2,6,7,4,3]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[5,1,2,7,3,4,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,1,2,7,3,6,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,1,2,7,4,3,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,1,2,7,4,6,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,1,2,7,6,3,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,1,2,7,6,4,3]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[5,1,3,2,4,6,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[5,1,3,2,4,7,6]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,1,3,2,6,4,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,1,3,2,6,7,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,1,3,2,7,4,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,1,3,2,7,6,4]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,1,3,4,2,6,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,1,3,4,2,7,6]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,1,3,4,6,2,7]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,1,3,4,6,7,2]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[5,1,3,4,7,2,6]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,1,3,4,7,6,2]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[5,1,3,6,2,4,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,1,3,6,2,7,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,1,3,6,4,2,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,1,3,6,4,7,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,1,3,6,7,2,4]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,1,3,6,7,4,2]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[5,1,3,7,2,4,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,1,3,7,2,6,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,1,3,7,4,2,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,1,3,7,4,6,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,1,3,7,6,2,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,1,3,7,6,4,2]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[5,1,4,2,3,6,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[5,1,4,2,3,7,6]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,1,4,2,6,3,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,1,4,2,6,7,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,1,4,2,7,3,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,1,4,2,7,6,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,1,4,3,2,6,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,1,4,3,2,7,6]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,1,4,3,6,2,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,1,4,3,6,7,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,1,4,3,7,2,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,1,4,3,7,6,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,1,4,6,2,3,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,1,4,6,2,7,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,1,4,6,3,2,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,1,4,6,3,7,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,1,4,6,7,2,3]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,1,4,6,7,3,2]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[5,1,4,7,2,3,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,1,4,7,2,6,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,1,4,7,3,2,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,1,4,7,3,6,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,1,4,7,6,2,3]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,1,4,7,6,3,2]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[5,1,6,2,3,4,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[5,1,6,2,3,7,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,1,6,2,4,3,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,1,6,2,4,7,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,1,6,2,7,3,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,1,6,2,7,4,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,1,6,3,2,4,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,1,6,3,2,7,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,1,6,3,4,2,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,1,6,3,4,7,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,1,6,3,7,2,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,1,6,3,7,4,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,1,6,4,2,3,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,1,6,4,2,7,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,1,6,4,3,2,7]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,1,6,4,3,7,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,1,6,4,7,2,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,1,6,4,7,3,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,1,6,7,2,3,4]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,1,6,7,2,4,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,1,6,7,3,2,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,1,6,7,3,4,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,1,6,7,4,2,3]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,1,6,7,4,3,2]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[5,1,7,2,3,4,6]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[5,1,7,2,3,6,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,1,7,2,4,3,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,1,7,2,4,6,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,1,7,2,6,3,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,1,7,2,6,4,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,1,7,3,2,4,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,1,7,3,2,6,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,1,7,3,4,2,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,1,7,3,4,6,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,1,7,3,6,2,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,1,7,3,6,4,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,1,7,4,2,3,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,1,7,4,2,6,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,1,7,4,3,2,6]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,1,7,4,3,6,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,1,7,4,6,2,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,1,7,4,6,3,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,1,7,6,2,3,4]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,1,7,6,2,4,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,1,7,6,3,2,4]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,1,7,6,3,4,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,1,7,6,4,2,3]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,1,7,6,4,3,2]=>[1,2,1,1,1,1]=>[[2,2,2,2,2,1],[1,1,1,1]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[5,2,1,3,4,6,7]=>[1,1,5]=>[[5,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[5,2,1,3,4,7,6]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[5,2,1,3,6,4,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,2,1,3,6,7,4]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[5,2,1,3,7,4,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,2,1,3,7,6,4]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[5,2,1,4,3,6,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[5,2,1,4,3,7,6]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,2,1,4,6,3,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,2,1,4,6,7,3]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[5,2,1,4,7,3,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,2,1,4,7,6,3]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[5,2,1,6,3,4,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[5,2,1,6,3,7,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,2,1,6,4,3,7]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,2,1,6,4,7,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,2,1,6,7,3,4]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,2,1,6,7,4,3]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[5,2,1,7,3,4,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[5,2,1,7,3,6,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,2,1,7,4,3,6]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,2,1,7,4,6,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,2,1,7,6,3,4]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,2,1,7,6,4,3]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[5,2,3,1,4,6,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[5,2,3,1,4,7,6]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,2,3,1,6,4,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,2,3,1,6,7,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,2,3,1,7,4,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,2,3,1,7,6,4]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,2,3,4,1,6,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,2,3,4,1,7,6]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,2,3,4,6,1,7]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,2,3,4,6,7,1]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[5,2,3,4,7,1,6]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,2,3,4,7,6,1]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[5,2,3,6,1,4,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,2,3,6,1,7,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,2,3,6,4,1,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,2,3,6,4,7,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,2,3,6,7,1,4]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,2,3,6,7,4,1]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[5,2,3,7,1,4,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,2,3,7,1,6,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,2,3,7,4,1,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,2,3,7,4,6,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,2,3,7,6,1,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,2,3,7,6,4,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[5,2,4,1,3,6,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[5,2,4,1,3,7,6]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,2,4,1,6,3,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,2,4,1,6,7,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,2,4,1,7,3,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,2,4,1,7,6,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,2,4,3,1,6,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,2,4,3,1,7,6]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,2,4,3,6,1,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,2,4,3,6,7,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,2,4,3,7,1,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,2,4,3,7,6,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,2,4,6,1,3,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,2,4,6,1,7,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,2,4,6,3,1,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,2,4,6,3,7,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,2,4,6,7,1,3]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,2,4,6,7,3,1]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[5,2,4,7,1,3,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,2,4,7,1,6,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,2,4,7,3,1,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,2,4,7,3,6,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,2,4,7,6,1,3]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,2,4,7,6,3,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[5,2,6,1,3,4,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[5,2,6,1,3,7,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,2,6,1,4,3,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,2,6,1,4,7,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,2,6,1,7,3,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,2,6,1,7,4,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,2,6,3,1,4,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,2,6,3,1,7,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,2,6,3,4,1,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,2,6,3,4,7,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,2,6,3,7,1,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,2,6,3,7,4,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,2,6,4,1,3,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,2,6,4,1,7,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,2,6,4,3,1,7]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,2,6,4,3,7,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,2,6,4,7,1,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,2,6,4,7,3,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,2,6,7,1,3,4]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,2,6,7,1,4,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,2,6,7,3,1,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,2,6,7,3,4,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,2,6,7,4,1,3]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,2,6,7,4,3,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[5,2,7,1,3,4,6]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[5,2,7,1,3,6,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,2,7,1,4,3,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,2,7,1,4,6,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,2,7,1,6,3,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,2,7,1,6,4,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,2,7,3,1,4,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,2,7,3,1,6,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,2,7,3,4,1,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,2,7,3,4,6,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,2,7,3,6,1,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,2,7,3,6,4,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,2,7,4,1,3,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,2,7,4,1,6,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,2,7,4,3,1,6]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,2,7,4,3,6,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,2,7,4,6,1,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,2,7,4,6,3,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,2,7,6,1,3,4]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,2,7,6,1,4,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,2,7,6,3,1,4]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,2,7,6,3,4,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,2,7,6,4,1,3]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,2,7,6,4,3,1]=>[1,2,1,1,1,1]=>[[2,2,2,2,2,1],[1,1,1,1]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[5,3,1,2,4,6,7]=>[1,1,5]=>[[5,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[5,3,1,2,4,7,6]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[5,3,1,2,6,4,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,3,1,2,6,7,4]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[5,3,1,2,7,4,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,3,1,2,7,6,4]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[5,3,1,4,2,6,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[5,3,1,4,2,7,6]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,3,1,4,6,2,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,3,1,4,6,7,2]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[5,3,1,4,7,2,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,3,1,4,7,6,2]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[5,3,1,6,2,4,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[5,3,1,6,2,7,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,3,1,6,4,2,7]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,3,1,6,4,7,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,3,1,6,7,2,4]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,3,1,6,7,4,2]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[5,3,1,7,2,4,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[5,3,1,7,2,6,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,3,1,7,4,2,6]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,3,1,7,4,6,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,3,1,7,6,2,4]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,3,1,7,6,4,2]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[5,3,2,1,4,6,7]=>[1,1,1,4]=>[[4,1,1,1],[]]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>20
[5,3,2,1,4,7,6]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[5,3,2,1,6,4,7]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[5,3,2,1,6,7,4]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[5,3,2,1,7,4,6]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[5,3,2,1,7,6,4]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[5,3,2,4,1,6,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[5,3,2,4,1,7,6]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,3,2,4,6,1,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,3,2,4,6,7,1]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[5,3,2,4,7,1,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,3,2,4,7,6,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[5,3,2,6,1,4,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[5,3,2,6,1,7,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,3,2,6,4,1,7]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,3,2,6,4,7,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,3,2,6,7,1,4]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,3,2,6,7,4,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[5,3,2,7,1,4,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[5,3,2,7,1,6,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,3,2,7,4,1,6]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,3,2,7,4,6,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,3,2,7,6,1,4]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,3,2,7,6,4,1]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[5,3,4,1,2,6,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[5,3,4,1,2,7,6]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,3,4,1,6,2,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,3,4,1,6,7,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,3,4,1,7,2,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,3,4,1,7,6,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,3,4,2,1,6,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,3,4,2,1,7,6]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,3,4,2,6,1,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,3,4,2,6,7,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,3,4,2,7,1,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,3,4,2,7,6,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,3,4,6,1,2,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,3,4,6,1,7,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,3,4,6,2,1,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,3,4,6,2,7,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,3,4,6,7,1,2]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,3,4,6,7,2,1]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[5,3,4,7,1,2,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,3,4,7,1,6,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,3,4,7,2,1,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,3,4,7,2,6,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,3,4,7,6,1,2]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,3,4,7,6,2,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[5,3,6,1,2,4,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[5,3,6,1,2,7,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,3,6,1,4,2,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,3,6,1,4,7,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,3,6,1,7,2,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,3,6,1,7,4,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,3,6,2,1,4,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,3,6,2,1,7,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,3,6,2,4,1,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,3,6,2,4,7,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,3,6,2,7,1,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,3,6,2,7,4,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,3,6,4,1,2,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,3,6,4,1,7,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,3,6,4,2,1,7]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,3,6,4,2,7,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,3,6,4,7,1,2]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,3,6,4,7,2,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,3,6,7,1,2,4]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,3,6,7,1,4,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,3,6,7,2,1,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,3,6,7,2,4,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,3,6,7,4,1,2]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,3,6,7,4,2,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[5,3,7,1,2,4,6]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[5,3,7,1,2,6,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,3,7,1,4,2,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,3,7,1,4,6,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,3,7,1,6,2,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,3,7,1,6,4,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,3,7,2,1,4,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,3,7,2,1,6,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,3,7,2,4,1,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,3,7,2,4,6,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,3,7,2,6,1,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,3,7,2,6,4,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,3,7,4,1,2,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,3,7,4,1,6,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,3,7,4,2,1,6]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,3,7,4,2,6,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,3,7,4,6,1,2]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,3,7,4,6,2,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,3,7,6,1,2,4]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,3,7,6,1,4,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,3,7,6,2,1,4]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,3,7,6,2,4,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,3,7,6,4,1,2]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,3,7,6,4,2,1]=>[1,2,1,1,1,1]=>[[2,2,2,2,2,1],[1,1,1,1]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[5,4,1,2,3,6,7]=>[1,1,5]=>[[5,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[5,4,1,2,3,7,6]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[5,4,1,2,6,3,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,4,1,2,6,7,3]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[5,4,1,2,7,3,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,4,1,2,7,6,3]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[5,4,1,3,2,6,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[5,4,1,3,2,7,6]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,4,1,3,6,2,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,4,1,3,6,7,2]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[5,4,1,3,7,2,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,4,1,3,7,6,2]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[5,4,1,6,2,3,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[5,4,1,6,2,7,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,4,1,6,3,2,7]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,4,1,6,3,7,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,4,1,6,7,2,3]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,4,1,6,7,3,2]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[5,4,1,7,2,3,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[5,4,1,7,2,6,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,4,1,7,3,2,6]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,4,1,7,3,6,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,4,1,7,6,2,3]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,4,1,7,6,3,2]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[5,4,2,1,3,6,7]=>[1,1,1,4]=>[[4,1,1,1],[]]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>20
[5,4,2,1,3,7,6]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[5,4,2,1,6,3,7]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[5,4,2,1,6,7,3]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[5,4,2,1,7,3,6]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[5,4,2,1,7,6,3]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[5,4,2,3,1,6,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[5,4,2,3,1,7,6]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,4,2,3,6,1,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,4,2,3,6,7,1]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[5,4,2,3,7,1,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,4,2,3,7,6,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[5,4,2,6,1,3,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[5,4,2,6,1,7,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,4,2,6,3,1,7]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,4,2,6,3,7,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,4,2,6,7,1,3]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,4,2,6,7,3,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[5,4,2,7,1,3,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[5,4,2,7,1,6,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,4,2,7,3,1,6]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,4,2,7,3,6,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,4,2,7,6,1,3]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,4,2,7,6,3,1]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[5,4,3,1,2,6,7]=>[1,1,1,4]=>[[4,1,1,1],[]]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>20
[5,4,3,1,2,7,6]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[5,4,3,1,6,2,7]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[5,4,3,1,6,7,2]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[5,4,3,1,7,2,6]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[5,4,3,1,7,6,2]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[5,4,3,2,1,6,7]=>[1,1,1,1,3]=>[[3,1,1,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[5,4,3,2,1,7,6]=>[1,1,1,1,2,1]=>[[2,2,1,1,1,1],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[5,4,3,2,6,1,7]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[5,4,3,2,6,7,1]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[5,4,3,2,7,1,6]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[5,4,3,2,7,6,1]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[5,4,3,6,1,2,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[5,4,3,6,1,7,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,4,3,6,2,1,7]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,4,3,6,2,7,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,4,3,6,7,1,2]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,4,3,6,7,2,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[5,4,3,7,1,2,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[5,4,3,7,1,6,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,4,3,7,2,1,6]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,4,3,7,2,6,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,4,3,7,6,1,2]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,4,3,7,6,2,1]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[5,4,6,1,2,3,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[5,4,6,1,2,7,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,4,6,1,3,2,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,4,6,1,3,7,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,4,6,1,7,2,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,4,6,1,7,3,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,4,6,2,1,3,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,4,6,2,1,7,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,4,6,2,3,1,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,4,6,2,3,7,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,4,6,2,7,1,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,4,6,2,7,3,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,4,6,3,1,2,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,4,6,3,1,7,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,4,6,3,2,1,7]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,4,6,3,2,7,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,4,6,3,7,1,2]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,4,6,3,7,2,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,4,6,7,1,2,3]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[5,4,6,7,1,3,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,4,6,7,2,1,3]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,4,6,7,2,3,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,4,6,7,3,1,2]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[5,4,6,7,3,2,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[5,4,7,1,2,3,6]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[5,4,7,1,2,6,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,4,7,1,3,2,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,4,7,1,3,6,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,4,7,1,6,2,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,4,7,1,6,3,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,4,7,2,1,3,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,4,7,2,1,6,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,4,7,2,3,1,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,4,7,2,3,6,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,4,7,2,6,1,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,4,7,2,6,3,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,4,7,3,1,2,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,4,7,3,1,6,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,4,7,3,2,1,6]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,4,7,3,2,6,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,4,7,3,6,1,2]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[5,4,7,3,6,2,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,4,7,6,1,2,3]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[5,4,7,6,1,3,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,4,7,6,2,1,3]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,4,7,6,2,3,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,4,7,6,3,1,2]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[5,4,7,6,3,2,1]=>[1,2,1,1,1,1]=>[[2,2,2,2,2,1],[1,1,1,1]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[5,6,1,2,3,4,7]=>[2,5]=>[[6,2],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[5,6,1,2,3,7,4]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[5,6,1,2,4,3,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,6,1,2,4,7,3]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[5,6,1,2,7,3,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,6,1,2,7,4,3]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[5,6,1,3,2,4,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,6,1,3,2,7,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,6,1,3,4,2,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,6,1,3,4,7,2]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[5,6,1,3,7,2,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,6,1,3,7,4,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[5,6,1,4,2,3,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,6,1,4,2,7,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,6,1,4,3,2,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,6,1,4,3,7,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,6,1,4,7,2,3]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,6,1,4,7,3,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[5,6,1,7,2,3,4]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,6,1,7,2,4,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,6,1,7,3,2,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,6,1,7,3,4,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,6,1,7,4,2,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,6,1,7,4,3,2]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[5,6,2,1,3,4,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[5,6,2,1,3,7,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[5,6,2,1,4,3,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,6,2,1,4,7,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[5,6,2,1,7,3,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,6,2,1,7,4,3]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[5,6,2,3,1,4,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,6,2,3,1,7,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,6,2,3,4,1,7]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,6,2,3,4,7,1]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[5,6,2,3,7,1,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,6,2,3,7,4,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[5,6,2,4,1,3,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,6,2,4,1,7,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,6,2,4,3,1,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,6,2,4,3,7,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,6,2,4,7,1,3]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,6,2,4,7,3,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[5,6,2,7,1,3,4]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,6,2,7,1,4,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,6,2,7,3,1,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,6,2,7,3,4,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,6,2,7,4,1,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,6,2,7,4,3,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[5,6,3,1,2,4,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[5,6,3,1,2,7,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[5,6,3,1,4,2,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,6,3,1,4,7,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[5,6,3,1,7,2,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,6,3,1,7,4,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[5,6,3,2,1,4,7]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[5,6,3,2,1,7,4]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[5,6,3,2,4,1,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,6,3,2,4,7,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[5,6,3,2,7,1,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,6,3,2,7,4,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[5,6,3,4,1,2,7]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,6,3,4,1,7,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,6,3,4,2,1,7]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,6,3,4,2,7,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,6,3,4,7,1,2]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,6,3,4,7,2,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[5,6,3,7,1,2,4]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,6,3,7,1,4,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,6,3,7,2,1,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,6,3,7,2,4,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,6,3,7,4,1,2]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,6,3,7,4,2,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[5,6,4,1,2,3,7]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[5,6,4,1,2,7,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[5,6,4,1,3,2,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,6,4,1,3,7,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[5,6,4,1,7,2,3]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,6,4,1,7,3,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[5,6,4,2,1,3,7]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[5,6,4,2,1,7,3]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[5,6,4,2,3,1,7]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,6,4,2,3,7,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[5,6,4,2,7,1,3]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,6,4,2,7,3,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[5,6,4,3,1,2,7]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[5,6,4,3,1,7,2]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[5,6,4,3,2,1,7]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[5,6,4,3,2,7,1]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[5,6,4,3,7,1,2]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,6,4,3,7,2,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[5,6,4,7,1,2,3]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,6,4,7,1,3,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,6,4,7,2,1,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,6,4,7,2,3,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,6,4,7,3,1,2]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,6,4,7,3,2,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[5,6,7,1,2,3,4]=>[3,4]=>[[6,3],[2]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[5,6,7,1,2,4,3]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[5,6,7,1,3,2,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,6,7,1,3,4,2]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[5,6,7,1,4,2,3]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,6,7,1,4,3,2]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[5,6,7,2,1,3,4]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[5,6,7,2,1,4,3]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[5,6,7,2,3,1,4]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,6,7,2,3,4,1]=>[3,3,1]=>[[5,5,3],[4,2]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[5,6,7,2,4,1,3]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,6,7,2,4,3,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[5,6,7,3,1,2,4]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[5,6,7,3,1,4,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[5,6,7,3,2,1,4]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[5,6,7,3,2,4,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[5,6,7,3,4,1,2]=>[3,2,2]=>[[5,4,3],[3,2]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[5,6,7,3,4,2,1]=>[3,2,1,1]=>[[4,4,4,3],[3,3,2]]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>90
[5,6,7,4,1,2,3]=>[3,1,3]=>[[5,3,3],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[5,6,7,4,1,3,2]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[5,6,7,4,2,1,3]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[5,6,7,4,2,3,1]=>[3,1,2,1]=>[[4,4,3,3],[3,2,2]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[5,6,7,4,3,1,2]=>[3,1,1,2]=>[[4,3,3,3],[2,2,2]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[5,6,7,4,3,2,1]=>[3,1,1,1,1]=>[[3,3,3,3,3],[2,2,2,2]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>15
[5,7,1,2,3,4,6]=>[2,5]=>[[6,2],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[5,7,1,2,3,6,4]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[5,7,1,2,4,3,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,7,1,2,4,6,3]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[5,7,1,2,6,3,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,7,1,2,6,4,3]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[5,7,1,3,2,4,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,7,1,3,2,6,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,7,1,3,4,2,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,7,1,3,4,6,2]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[5,7,1,3,6,2,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,7,1,3,6,4,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[5,7,1,4,2,3,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,7,1,4,2,6,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,7,1,4,3,2,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,7,1,4,3,6,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,7,1,4,6,2,3]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,7,1,4,6,3,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[5,7,1,6,2,3,4]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,7,1,6,2,4,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,7,1,6,3,2,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,7,1,6,3,4,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,7,1,6,4,2,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,7,1,6,4,3,2]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[5,7,2,1,3,4,6]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[5,7,2,1,3,6,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[5,7,2,1,4,3,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,7,2,1,4,6,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[5,7,2,1,6,3,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,7,2,1,6,4,3]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[5,7,2,3,1,4,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,7,2,3,1,6,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,7,2,3,4,1,6]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,7,2,3,4,6,1]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[5,7,2,3,6,1,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,7,2,3,6,4,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[5,7,2,4,1,3,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,7,2,4,1,6,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,7,2,4,3,1,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,7,2,4,3,6,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,7,2,4,6,1,3]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,7,2,4,6,3,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[5,7,2,6,1,3,4]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,7,2,6,1,4,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,7,2,6,3,1,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,7,2,6,3,4,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,7,2,6,4,1,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,7,2,6,4,3,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[5,7,3,1,2,4,6]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[5,7,3,1,2,6,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[5,7,3,1,4,2,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,7,3,1,4,6,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[5,7,3,1,6,2,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,7,3,1,6,4,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[5,7,3,2,1,4,6]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[5,7,3,2,1,6,4]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[5,7,3,2,4,1,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,7,3,2,4,6,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[5,7,3,2,6,1,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,7,3,2,6,4,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[5,7,3,4,1,2,6]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,7,3,4,1,6,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,7,3,4,2,1,6]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,7,3,4,2,6,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,7,3,4,6,1,2]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[5,7,3,4,6,2,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[5,7,3,6,1,2,4]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,7,3,6,1,4,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,7,3,6,2,1,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,7,3,6,2,4,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,7,3,6,4,1,2]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,7,3,6,4,2,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[5,7,4,1,2,3,6]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[5,7,4,1,2,6,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[5,7,4,1,3,2,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,7,4,1,3,6,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[5,7,4,1,6,2,3]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,7,4,1,6,3,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[5,7,4,2,1,3,6]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[5,7,4,2,1,6,3]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[5,7,4,2,3,1,6]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,7,4,2,3,6,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[5,7,4,2,6,1,3]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,7,4,2,6,3,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[5,7,4,3,1,2,6]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[5,7,4,3,1,6,2]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[5,7,4,3,2,1,6]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[5,7,4,3,2,6,1]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[5,7,4,3,6,1,2]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,7,4,3,6,2,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[5,7,4,6,1,2,3]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[5,7,4,6,1,3,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,7,4,6,2,1,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,7,4,6,2,3,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[5,7,4,6,3,1,2]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[5,7,4,6,3,2,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[5,7,6,1,2,3,4]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[5,7,6,1,2,4,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[5,7,6,1,3,2,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,7,6,1,3,4,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[5,7,6,1,4,2,3]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,7,6,1,4,3,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[5,7,6,2,1,3,4]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[5,7,6,2,1,4,3]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[5,7,6,2,3,1,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,7,6,2,3,4,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[5,7,6,2,4,1,3]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,7,6,2,4,3,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[5,7,6,3,1,2,4]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[5,7,6,3,1,4,2]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[5,7,6,3,2,1,4]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[5,7,6,3,2,4,1]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[5,7,6,3,4,1,2]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[5,7,6,3,4,2,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[5,7,6,4,1,2,3]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[5,7,6,4,1,3,2]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[5,7,6,4,2,1,3]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[5,7,6,4,2,3,1]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[5,7,6,4,3,1,2]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[5,7,6,4,3,2,1]=>[2,1,1,1,1,1]=>[[2,2,2,2,2,2],[1,1,1,1,1]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>6
[6,1,2,3,4,5,7]=>[1,6]=>[[6,1],[]]=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>6
[6,1,2,3,4,7,5]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[6,1,2,3,5,4,7]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,1,2,3,5,7,4]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[6,1,2,3,7,4,5]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,1,2,3,7,5,4]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[6,1,2,4,3,5,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,1,2,4,3,7,5]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,1,2,4,5,3,7]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,1,2,4,5,7,3]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[6,1,2,4,7,3,5]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,1,2,4,7,5,3]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[6,1,2,5,3,4,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,1,2,5,3,7,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,1,2,5,4,3,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,1,2,5,4,7,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,1,2,5,7,3,4]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,1,2,5,7,4,3]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[6,1,2,7,3,4,5]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,1,2,7,3,5,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,1,2,7,4,3,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,1,2,7,4,5,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,1,2,7,5,3,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,1,2,7,5,4,3]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[6,1,3,2,4,5,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,1,3,2,4,7,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,1,3,2,5,4,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,1,3,2,5,7,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,1,3,2,7,4,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,1,3,2,7,5,4]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,1,3,4,2,5,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,1,3,4,2,7,5]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,1,3,4,5,2,7]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,1,3,4,5,7,2]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[6,1,3,4,7,2,5]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,1,3,4,7,5,2]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[6,1,3,5,2,4,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,1,3,5,2,7,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,1,3,5,4,2,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,1,3,5,4,7,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,1,3,5,7,2,4]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,1,3,5,7,4,2]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[6,1,3,7,2,4,5]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,1,3,7,2,5,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,1,3,7,4,2,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,1,3,7,4,5,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,1,3,7,5,2,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,1,3,7,5,4,2]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[6,1,4,2,3,5,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,1,4,2,3,7,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,1,4,2,5,3,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,1,4,2,5,7,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,1,4,2,7,3,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,1,4,2,7,5,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,1,4,3,2,5,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,1,4,3,2,7,5]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,1,4,3,5,2,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,1,4,3,5,7,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,1,4,3,7,2,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,1,4,3,7,5,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,1,4,5,2,3,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,1,4,5,2,7,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,1,4,5,3,2,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,1,4,5,3,7,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,1,4,5,7,2,3]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,1,4,5,7,3,2]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[6,1,4,7,2,3,5]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,1,4,7,2,5,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,1,4,7,3,2,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,1,4,7,3,5,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,1,4,7,5,2,3]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,1,4,7,5,3,2]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[6,1,5,2,3,4,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,1,5,2,3,7,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,1,5,2,4,3,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,1,5,2,4,7,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,1,5,2,7,3,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,1,5,2,7,4,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,1,5,3,2,4,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,1,5,3,2,7,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,1,5,3,4,2,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,1,5,3,4,7,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,1,5,3,7,2,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,1,5,3,7,4,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,1,5,4,2,3,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,1,5,4,2,7,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,1,5,4,3,2,7]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,1,5,4,3,7,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,1,5,4,7,2,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,1,5,4,7,3,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,1,5,7,2,3,4]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,1,5,7,2,4,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,1,5,7,3,2,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,1,5,7,3,4,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,1,5,7,4,2,3]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,1,5,7,4,3,2]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[6,1,7,2,3,4,5]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,1,7,2,3,5,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,1,7,2,4,3,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,1,7,2,4,5,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,1,7,2,5,3,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,1,7,2,5,4,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,1,7,3,2,4,5]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,1,7,3,2,5,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,1,7,3,4,2,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,1,7,3,4,5,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,1,7,3,5,2,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,1,7,3,5,4,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,1,7,4,2,3,5]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,1,7,4,2,5,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,1,7,4,3,2,5]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,1,7,4,3,5,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,1,7,4,5,2,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,1,7,4,5,3,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,1,7,5,2,3,4]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,1,7,5,2,4,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,1,7,5,3,2,4]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,1,7,5,3,4,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,1,7,5,4,2,3]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,1,7,5,4,3,2]=>[1,2,1,1,1,1]=>[[2,2,2,2,2,1],[1,1,1,1]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[6,2,1,3,4,5,7]=>[1,1,5]=>[[5,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[6,2,1,3,4,7,5]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[6,2,1,3,5,4,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,2,1,3,5,7,4]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[6,2,1,3,7,4,5]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,2,1,3,7,5,4]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[6,2,1,4,3,5,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,2,1,4,3,7,5]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,2,1,4,5,3,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,2,1,4,5,7,3]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[6,2,1,4,7,3,5]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,2,1,4,7,5,3]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[6,2,1,5,3,4,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,2,1,5,3,7,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,2,1,5,4,3,7]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,2,1,5,4,7,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,2,1,5,7,3,4]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,2,1,5,7,4,3]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[6,2,1,7,3,4,5]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,2,1,7,3,5,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,2,1,7,4,3,5]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,2,1,7,4,5,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,2,1,7,5,3,4]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,2,1,7,5,4,3]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[6,2,3,1,4,5,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,2,3,1,4,7,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,2,3,1,5,4,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,2,3,1,5,7,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,2,3,1,7,4,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,2,3,1,7,5,4]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,2,3,4,1,5,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,2,3,4,1,7,5]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,2,3,4,5,1,7]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,2,3,4,5,7,1]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[6,2,3,4,7,1,5]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,2,3,4,7,5,1]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[6,2,3,5,1,4,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,2,3,5,1,7,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,2,3,5,4,1,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,2,3,5,4,7,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,2,3,5,7,1,4]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,2,3,5,7,4,1]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[6,2,3,7,1,4,5]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,2,3,7,1,5,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,2,3,7,4,1,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,2,3,7,4,5,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,2,3,7,5,1,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,2,3,7,5,4,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[6,2,4,1,3,5,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,2,4,1,3,7,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,2,4,1,5,3,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,2,4,1,5,7,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,2,4,1,7,3,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,2,4,1,7,5,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,2,4,3,1,5,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,2,4,3,1,7,5]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,2,4,3,5,1,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,2,4,3,5,7,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,2,4,3,7,1,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,2,4,3,7,5,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,2,4,5,1,3,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,2,4,5,1,7,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,2,4,5,3,1,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,2,4,5,3,7,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,2,4,5,7,1,3]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,2,4,5,7,3,1]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[6,2,4,7,1,3,5]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,2,4,7,1,5,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,2,4,7,3,1,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,2,4,7,3,5,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,2,4,7,5,1,3]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,2,4,7,5,3,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[6,2,5,1,3,4,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,2,5,1,3,7,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,2,5,1,4,3,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,2,5,1,4,7,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,2,5,1,7,3,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,2,5,1,7,4,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,2,5,3,1,4,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,2,5,3,1,7,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,2,5,3,4,1,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,2,5,3,4,7,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,2,5,3,7,1,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,2,5,3,7,4,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,2,5,4,1,3,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,2,5,4,1,7,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,2,5,4,3,1,7]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,2,5,4,3,7,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,2,5,4,7,1,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,2,5,4,7,3,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,2,5,7,1,3,4]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,2,5,7,1,4,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,2,5,7,3,1,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,2,5,7,3,4,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,2,5,7,4,1,3]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,2,5,7,4,3,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[6,2,7,1,3,4,5]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,2,7,1,3,5,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,2,7,1,4,3,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,2,7,1,4,5,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,2,7,1,5,3,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,2,7,1,5,4,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,2,7,3,1,4,5]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,2,7,3,1,5,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,2,7,3,4,1,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,2,7,3,4,5,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,2,7,3,5,1,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,2,7,3,5,4,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,2,7,4,1,3,5]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,2,7,4,1,5,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,2,7,4,3,1,5]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,2,7,4,3,5,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,2,7,4,5,1,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,2,7,4,5,3,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,2,7,5,1,3,4]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,2,7,5,1,4,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,2,7,5,3,1,4]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,2,7,5,3,4,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,2,7,5,4,1,3]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,2,7,5,4,3,1]=>[1,2,1,1,1,1]=>[[2,2,2,2,2,1],[1,1,1,1]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[6,3,1,2,4,5,7]=>[1,1,5]=>[[5,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[6,3,1,2,4,7,5]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[6,3,1,2,5,4,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,3,1,2,5,7,4]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[6,3,1,2,7,4,5]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,3,1,2,7,5,4]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[6,3,1,4,2,5,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,3,1,4,2,7,5]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,3,1,4,5,2,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,3,1,4,5,7,2]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[6,3,1,4,7,2,5]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,3,1,4,7,5,2]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[6,3,1,5,2,4,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,3,1,5,2,7,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,3,1,5,4,2,7]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,3,1,5,4,7,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,3,1,5,7,2,4]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,3,1,5,7,4,2]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[6,3,1,7,2,4,5]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,3,1,7,2,5,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,3,1,7,4,2,5]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,3,1,7,4,5,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,3,1,7,5,2,4]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,3,1,7,5,4,2]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[6,3,2,1,4,5,7]=>[1,1,1,4]=>[[4,1,1,1],[]]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>20
[6,3,2,1,4,7,5]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[6,3,2,1,5,4,7]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,3,2,1,5,7,4]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[6,3,2,1,7,4,5]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,3,2,1,7,5,4]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[6,3,2,4,1,5,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,3,2,4,1,7,5]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,3,2,4,5,1,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,3,2,4,5,7,1]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[6,3,2,4,7,1,5]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,3,2,4,7,5,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[6,3,2,5,1,4,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,3,2,5,1,7,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,3,2,5,4,1,7]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,3,2,5,4,7,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,3,2,5,7,1,4]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,3,2,5,7,4,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[6,3,2,7,1,4,5]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,3,2,7,1,5,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,3,2,7,4,1,5]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,3,2,7,4,5,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,3,2,7,5,1,4]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,3,2,7,5,4,1]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[6,3,4,1,2,5,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,3,4,1,2,7,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,3,4,1,5,2,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,3,4,1,5,7,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,3,4,1,7,2,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,3,4,1,7,5,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,3,4,2,1,5,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,3,4,2,1,7,5]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,3,4,2,5,1,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,3,4,2,5,7,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,3,4,2,7,1,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,3,4,2,7,5,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,3,4,5,1,2,7]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,3,4,5,1,7,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,3,4,5,2,1,7]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,3,4,5,2,7,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,3,4,5,7,1,2]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,3,4,5,7,2,1]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[6,3,4,7,1,2,5]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,3,4,7,1,5,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,3,4,7,2,1,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,3,4,7,2,5,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,3,4,7,5,1,2]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,3,4,7,5,2,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[6,3,5,1,2,4,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,3,5,1,2,7,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,3,5,1,4,2,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,3,5,1,4,7,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,3,5,1,7,2,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,3,5,1,7,4,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,3,5,2,1,4,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,3,5,2,1,7,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,3,5,2,4,1,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,3,5,2,4,7,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,3,5,2,7,1,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,3,5,2,7,4,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,3,5,4,1,2,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,3,5,4,1,7,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,3,5,4,2,1,7]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,3,5,4,2,7,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,3,5,4,7,1,2]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,3,5,4,7,2,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,3,5,7,1,2,4]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,3,5,7,1,4,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,3,5,7,2,1,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,3,5,7,2,4,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,3,5,7,4,1,2]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,3,5,7,4,2,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[6,3,7,1,2,4,5]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,3,7,1,2,5,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,3,7,1,4,2,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,3,7,1,4,5,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,3,7,1,5,2,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,3,7,1,5,4,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,3,7,2,1,4,5]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,3,7,2,1,5,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,3,7,2,4,1,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,3,7,2,4,5,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,3,7,2,5,1,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,3,7,2,5,4,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,3,7,4,1,2,5]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,3,7,4,1,5,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,3,7,4,2,1,5]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,3,7,4,2,5,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,3,7,4,5,1,2]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,3,7,4,5,2,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,3,7,5,1,2,4]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,3,7,5,1,4,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,3,7,5,2,1,4]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,3,7,5,2,4,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,3,7,5,4,1,2]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,3,7,5,4,2,1]=>[1,2,1,1,1,1]=>[[2,2,2,2,2,1],[1,1,1,1]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[6,4,1,2,3,5,7]=>[1,1,5]=>[[5,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[6,4,1,2,3,7,5]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[6,4,1,2,5,3,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,4,1,2,5,7,3]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[6,4,1,2,7,3,5]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,4,1,2,7,5,3]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[6,4,1,3,2,5,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,4,1,3,2,7,5]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,4,1,3,5,2,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,4,1,3,5,7,2]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[6,4,1,3,7,2,5]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,4,1,3,7,5,2]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[6,4,1,5,2,3,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,4,1,5,2,7,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,4,1,5,3,2,7]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,4,1,5,3,7,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,4,1,5,7,2,3]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,4,1,5,7,3,2]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[6,4,1,7,2,3,5]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,4,1,7,2,5,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,4,1,7,3,2,5]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,4,1,7,3,5,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,4,1,7,5,2,3]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,4,1,7,5,3,2]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[6,4,2,1,3,5,7]=>[1,1,1,4]=>[[4,1,1,1],[]]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>20
[6,4,2,1,3,7,5]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[6,4,2,1,5,3,7]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,4,2,1,5,7,3]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[6,4,2,1,7,3,5]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,4,2,1,7,5,3]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[6,4,2,3,1,5,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,4,2,3,1,7,5]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,4,2,3,5,1,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,4,2,3,5,7,1]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[6,4,2,3,7,1,5]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,4,2,3,7,5,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[6,4,2,5,1,3,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,4,2,5,1,7,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,4,2,5,3,1,7]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,4,2,5,3,7,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,4,2,5,7,1,3]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,4,2,5,7,3,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[6,4,2,7,1,3,5]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,4,2,7,1,5,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,4,2,7,3,1,5]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,4,2,7,3,5,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,4,2,7,5,1,3]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,4,2,7,5,3,1]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[6,4,3,1,2,5,7]=>[1,1,1,4]=>[[4,1,1,1],[]]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>20
[6,4,3,1,2,7,5]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[6,4,3,1,5,2,7]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,4,3,1,5,7,2]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[6,4,3,1,7,2,5]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,4,3,1,7,5,2]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[6,4,3,2,1,5,7]=>[1,1,1,1,3]=>[[3,1,1,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[6,4,3,2,1,7,5]=>[1,1,1,1,2,1]=>[[2,2,1,1,1,1],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[6,4,3,2,5,1,7]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,4,3,2,5,7,1]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[6,4,3,2,7,1,5]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,4,3,2,7,5,1]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[6,4,3,5,1,2,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,4,3,5,1,7,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,4,3,5,2,1,7]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,4,3,5,2,7,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,4,3,5,7,1,2]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,4,3,5,7,2,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[6,4,3,7,1,2,5]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,4,3,7,1,5,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,4,3,7,2,1,5]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,4,3,7,2,5,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,4,3,7,5,1,2]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,4,3,7,5,2,1]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[6,4,5,1,2,3,7]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,4,5,1,2,7,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,4,5,1,3,2,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,4,5,1,3,7,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,4,5,1,7,2,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,4,5,1,7,3,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,4,5,2,1,3,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,4,5,2,1,7,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,4,5,2,3,1,7]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,4,5,2,3,7,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,4,5,2,7,1,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,4,5,2,7,3,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,4,5,3,1,2,7]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,4,5,3,1,7,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,4,5,3,2,1,7]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,4,5,3,2,7,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,4,5,3,7,1,2]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,4,5,3,7,2,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,4,5,7,1,2,3]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,4,5,7,1,3,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,4,5,7,2,1,3]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,4,5,7,2,3,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,4,5,7,3,1,2]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[6,4,5,7,3,2,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[6,4,7,1,2,3,5]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,4,7,1,2,5,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,4,7,1,3,2,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,4,7,1,3,5,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,4,7,1,5,2,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,4,7,1,5,3,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,4,7,2,1,3,5]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,4,7,2,1,5,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,4,7,2,3,1,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,4,7,2,3,5,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,4,7,2,5,1,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,4,7,2,5,3,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,4,7,3,1,2,5]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,4,7,3,1,5,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,4,7,3,2,1,5]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,4,7,3,2,5,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,4,7,3,5,1,2]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,4,7,3,5,2,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,4,7,5,1,2,3]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,4,7,5,1,3,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,4,7,5,2,1,3]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,4,7,5,2,3,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,4,7,5,3,1,2]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,4,7,5,3,2,1]=>[1,2,1,1,1,1]=>[[2,2,2,2,2,1],[1,1,1,1]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[6,5,1,2,3,4,7]=>[1,1,5]=>[[5,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[6,5,1,2,3,7,4]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[6,5,1,2,4,3,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,5,1,2,4,7,3]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[6,5,1,2,7,3,4]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,5,1,2,7,4,3]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[6,5,1,3,2,4,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,5,1,3,2,7,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,5,1,3,4,2,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,5,1,3,4,7,2]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[6,5,1,3,7,2,4]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,5,1,3,7,4,2]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[6,5,1,4,2,3,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,5,1,4,2,7,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,5,1,4,3,2,7]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,5,1,4,3,7,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,5,1,4,7,2,3]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,5,1,4,7,3,2]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[6,5,1,7,2,3,4]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,5,1,7,2,4,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,5,1,7,3,2,4]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,5,1,7,3,4,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,5,1,7,4,2,3]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,5,1,7,4,3,2]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[6,5,2,1,3,4,7]=>[1,1,1,4]=>[[4,1,1,1],[]]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>20
[6,5,2,1,3,7,4]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[6,5,2,1,4,3,7]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,5,2,1,4,7,3]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[6,5,2,1,7,3,4]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,5,2,1,7,4,3]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[6,5,2,3,1,4,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,5,2,3,1,7,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,5,2,3,4,1,7]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,5,2,3,4,7,1]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[6,5,2,3,7,1,4]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,5,2,3,7,4,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[6,5,2,4,1,3,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,5,2,4,1,7,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,5,2,4,3,1,7]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,5,2,4,3,7,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,5,2,4,7,1,3]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,5,2,4,7,3,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[6,5,2,7,1,3,4]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,5,2,7,1,4,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,5,2,7,3,1,4]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,5,2,7,3,4,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,5,2,7,4,1,3]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,5,2,7,4,3,1]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[6,5,3,1,2,4,7]=>[1,1,1,4]=>[[4,1,1,1],[]]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>20
[6,5,3,1,2,7,4]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[6,5,3,1,4,2,7]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,5,3,1,4,7,2]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[6,5,3,1,7,2,4]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,5,3,1,7,4,2]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[6,5,3,2,1,4,7]=>[1,1,1,1,3]=>[[3,1,1,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[6,5,3,2,1,7,4]=>[1,1,1,1,2,1]=>[[2,2,1,1,1,1],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[6,5,3,2,4,1,7]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,5,3,2,4,7,1]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[6,5,3,2,7,1,4]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,5,3,2,7,4,1]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[6,5,3,4,1,2,7]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,5,3,4,1,7,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,5,3,4,2,1,7]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,5,3,4,2,7,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,5,3,4,7,1,2]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,5,3,4,7,2,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[6,5,3,7,1,2,4]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,5,3,7,1,4,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,5,3,7,2,1,4]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,5,3,7,2,4,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,5,3,7,4,1,2]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,5,3,7,4,2,1]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[6,5,4,1,2,3,7]=>[1,1,1,4]=>[[4,1,1,1],[]]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>20
[6,5,4,1,2,7,3]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[6,5,4,1,3,2,7]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,5,4,1,3,7,2]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[6,5,4,1,7,2,3]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,5,4,1,7,3,2]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[6,5,4,2,1,3,7]=>[1,1,1,1,3]=>[[3,1,1,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[6,5,4,2,1,7,3]=>[1,1,1,1,2,1]=>[[2,2,1,1,1,1],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[6,5,4,2,3,1,7]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,5,4,2,3,7,1]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[6,5,4,2,7,1,3]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,5,4,2,7,3,1]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[6,5,4,3,1,2,7]=>[1,1,1,1,3]=>[[3,1,1,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[6,5,4,3,1,7,2]=>[1,1,1,1,2,1]=>[[2,2,1,1,1,1],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[6,5,4,3,2,1,7]=>[1,1,1,1,1,2]=>[[2,1,1,1,1,1],[]]=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>6
[6,5,4,3,2,7,1]=>[1,1,1,1,2,1]=>[[2,2,1,1,1,1],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[6,5,4,3,7,1,2]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,5,4,3,7,2,1]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[6,5,4,7,1,2,3]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[6,5,4,7,1,3,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,5,4,7,2,1,3]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,5,4,7,2,3,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,5,4,7,3,1,2]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[6,5,4,7,3,2,1]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[6,5,7,1,2,3,4]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[6,5,7,1,2,4,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,5,7,1,3,2,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,5,7,1,3,4,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,5,7,1,4,2,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,5,7,1,4,3,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,5,7,2,1,3,4]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,5,7,2,1,4,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,5,7,2,3,1,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,5,7,2,3,4,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,5,7,2,4,1,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,5,7,2,4,3,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,5,7,3,1,2,4]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,5,7,3,1,4,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,5,7,3,2,1,4]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,5,7,3,2,4,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,5,7,3,4,1,2]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[6,5,7,3,4,2,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[6,5,7,4,1,2,3]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[6,5,7,4,1,3,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,5,7,4,2,1,3]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,5,7,4,2,3,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,5,7,4,3,1,2]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[6,5,7,4,3,2,1]=>[1,2,1,1,1,1]=>[[2,2,2,2,2,1],[1,1,1,1]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[6,7,1,2,3,4,5]=>[2,5]=>[[6,2],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[6,7,1,2,3,5,4]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[6,7,1,2,4,3,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,7,1,2,4,5,3]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[6,7,1,2,5,3,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,7,1,2,5,4,3]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[6,7,1,3,2,4,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,7,1,3,2,5,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[6,7,1,3,4,2,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,7,1,3,4,5,2]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[6,7,1,3,5,2,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,7,1,3,5,4,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[6,7,1,4,2,3,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,7,1,4,2,5,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[6,7,1,4,3,2,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,7,1,4,3,5,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[6,7,1,4,5,2,3]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,7,1,4,5,3,2]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[6,7,1,5,2,3,4]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,7,1,5,2,4,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[6,7,1,5,3,2,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,7,1,5,3,4,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[6,7,1,5,4,2,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,7,1,5,4,3,2]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[6,7,2,1,3,4,5]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[6,7,2,1,3,5,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[6,7,2,1,4,3,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,7,2,1,4,5,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[6,7,2,1,5,3,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,7,2,1,5,4,3]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[6,7,2,3,1,4,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,7,2,3,1,5,4]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[6,7,2,3,4,1,5]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,7,2,3,4,5,1]=>[2,4,1]=>[[5,5,2],[4,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[6,7,2,3,5,1,4]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,7,2,3,5,4,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[6,7,2,4,1,3,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,7,2,4,1,5,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[6,7,2,4,3,1,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,7,2,4,3,5,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[6,7,2,4,5,1,3]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,7,2,4,5,3,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[6,7,2,5,1,3,4]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,7,2,5,1,4,3]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[6,7,2,5,3,1,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,7,2,5,3,4,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[6,7,2,5,4,1,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,7,2,5,4,3,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[6,7,3,1,2,4,5]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[6,7,3,1,2,5,4]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[6,7,3,1,4,2,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,7,3,1,4,5,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[6,7,3,1,5,2,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,7,3,1,5,4,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[6,7,3,2,1,4,5]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[6,7,3,2,1,5,4]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[6,7,3,2,4,1,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,7,3,2,4,5,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[6,7,3,2,5,1,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,7,3,2,5,4,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[6,7,3,4,1,2,5]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,7,3,4,1,5,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[6,7,3,4,2,1,5]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,7,3,4,2,5,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[6,7,3,4,5,1,2]=>[2,3,2]=>[[5,4,2],[3,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[6,7,3,4,5,2,1]=>[2,3,1,1]=>[[4,4,4,2],[3,3,1]]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>111
[6,7,3,5,1,2,4]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,7,3,5,1,4,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[6,7,3,5,2,1,4]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,7,3,5,2,4,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[6,7,3,5,4,1,2]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,7,3,5,4,2,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[6,7,4,1,2,3,5]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[6,7,4,1,2,5,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[6,7,4,1,3,2,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,7,4,1,3,5,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[6,7,4,1,5,2,3]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,7,4,1,5,3,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[6,7,4,2,1,3,5]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[6,7,4,2,1,5,3]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[6,7,4,2,3,1,5]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,7,4,2,3,5,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[6,7,4,2,5,1,3]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,7,4,2,5,3,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[6,7,4,3,1,2,5]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[6,7,4,3,1,5,2]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[6,7,4,3,2,1,5]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[6,7,4,3,2,5,1]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[6,7,4,3,5,1,2]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,7,4,3,5,2,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[6,7,4,5,1,2,3]=>[2,2,3]=>[[5,3,2],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[6,7,4,5,1,3,2]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[6,7,4,5,2,1,3]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,7,4,5,2,3,1]=>[2,2,2,1]=>[[4,4,3,2],[3,2,1]]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>272
[6,7,4,5,3,1,2]=>[2,2,1,2]=>[[4,3,3,2],[2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[6,7,4,5,3,2,1]=>[2,2,1,1,1]=>[[3,3,3,3,2],[2,2,2,1]]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>64
[6,7,5,1,2,3,4]=>[2,1,4]=>[[5,2,2],[1,1]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[6,7,5,1,2,4,3]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[6,7,5,1,3,2,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,7,5,1,3,4,2]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[6,7,5,1,4,2,3]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,7,5,1,4,3,2]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[6,7,5,2,1,3,4]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[6,7,5,2,1,4,3]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[6,7,5,2,3,1,4]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,7,5,2,3,4,1]=>[2,1,3,1]=>[[4,4,2,2],[3,1,1]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>132
[6,7,5,2,4,1,3]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,7,5,2,4,3,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[6,7,5,3,1,2,4]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[6,7,5,3,1,4,2]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[6,7,5,3,2,1,4]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[6,7,5,3,2,4,1]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[6,7,5,3,4,1,2]=>[2,1,2,2]=>[[4,3,2,2],[2,1,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[6,7,5,3,4,2,1]=>[2,1,2,1,1]=>[[3,3,3,2,2],[2,2,1,1]]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>99
[6,7,5,4,1,2,3]=>[2,1,1,3]=>[[4,2,2,2],[1,1,1]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[6,7,5,4,1,3,2]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[6,7,5,4,2,1,3]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[6,7,5,4,2,3,1]=>[2,1,1,2,1]=>[[3,3,2,2,2],[2,1,1,1]]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>78
[6,7,5,4,3,1,2]=>[2,1,1,1,2]=>[[3,2,2,2,2],[1,1,1,1]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[6,7,5,4,3,2,1]=>[2,1,1,1,1,1]=>[[2,2,2,2,2,2],[1,1,1,1,1]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>6
[7,1,2,3,4,5,6]=>[1,6]=>[[6,1],[]]=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>6
[7,1,2,3,4,6,5]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[7,1,2,3,5,4,6]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,1,2,3,5,6,4]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[7,1,2,3,6,4,5]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,1,2,3,6,5,4]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[7,1,2,4,3,5,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,1,2,4,3,6,5]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,1,2,4,5,3,6]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,1,2,4,5,6,3]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[7,1,2,4,6,3,5]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,1,2,4,6,5,3]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[7,1,2,5,3,4,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,1,2,5,3,6,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,1,2,5,4,3,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,1,2,5,4,6,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,1,2,5,6,3,4]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,1,2,5,6,4,3]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[7,1,2,6,3,4,5]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,1,2,6,3,5,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,1,2,6,4,3,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,1,2,6,4,5,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,1,2,6,5,3,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,1,2,6,5,4,3]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[7,1,3,2,4,5,6]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,1,3,2,4,6,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,1,3,2,5,4,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,1,3,2,5,6,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,1,3,2,6,4,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,1,3,2,6,5,4]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,1,3,4,2,5,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,1,3,4,2,6,5]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,1,3,4,5,2,6]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,1,3,4,5,6,2]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[7,1,3,4,6,2,5]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,1,3,4,6,5,2]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[7,1,3,5,2,4,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,1,3,5,2,6,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,1,3,5,4,2,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,1,3,5,4,6,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,1,3,5,6,2,4]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,1,3,5,6,4,2]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[7,1,3,6,2,4,5]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,1,3,6,2,5,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,1,3,6,4,2,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,1,3,6,4,5,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,1,3,6,5,2,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,1,3,6,5,4,2]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[7,1,4,2,3,5,6]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,1,4,2,3,6,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,1,4,2,5,3,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,1,4,2,5,6,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,1,4,2,6,3,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,1,4,2,6,5,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,1,4,3,2,5,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,1,4,3,2,6,5]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,1,4,3,5,2,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,1,4,3,5,6,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,1,4,3,6,2,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,1,4,3,6,5,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,1,4,5,2,3,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,1,4,5,2,6,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,1,4,5,3,2,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,1,4,5,3,6,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,1,4,5,6,2,3]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,1,4,5,6,3,2]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[7,1,4,6,2,3,5]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,1,4,6,2,5,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,1,4,6,3,2,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,1,4,6,3,5,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,1,4,6,5,2,3]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,1,4,6,5,3,2]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[7,1,5,2,3,4,6]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,1,5,2,3,6,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,1,5,2,4,3,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,1,5,2,4,6,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,1,5,2,6,3,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,1,5,2,6,4,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,1,5,3,2,4,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,1,5,3,2,6,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,1,5,3,4,2,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,1,5,3,4,6,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,1,5,3,6,2,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,1,5,3,6,4,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,1,5,4,2,3,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,1,5,4,2,6,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,1,5,4,3,2,6]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,1,5,4,3,6,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,1,5,4,6,2,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,1,5,4,6,3,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,1,5,6,2,3,4]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,1,5,6,2,4,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,1,5,6,3,2,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,1,5,6,3,4,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,1,5,6,4,2,3]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,1,5,6,4,3,2]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[7,1,6,2,3,4,5]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,1,6,2,3,5,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,1,6,2,4,3,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,1,6,2,4,5,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,1,6,2,5,3,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,1,6,2,5,4,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,1,6,3,2,4,5]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,1,6,3,2,5,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,1,6,3,4,2,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,1,6,3,4,5,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,1,6,3,5,2,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,1,6,3,5,4,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,1,6,4,2,3,5]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,1,6,4,2,5,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,1,6,4,3,2,5]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,1,6,4,3,5,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,1,6,4,5,2,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,1,6,4,5,3,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,1,6,5,2,3,4]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,1,6,5,2,4,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,1,6,5,3,2,4]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,1,6,5,3,4,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,1,6,5,4,2,3]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,1,6,5,4,3,2]=>[1,2,1,1,1,1]=>[[2,2,2,2,2,1],[1,1,1,1]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[7,2,1,3,4,5,6]=>[1,1,5]=>[[5,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[7,2,1,3,4,6,5]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[7,2,1,3,5,4,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,2,1,3,5,6,4]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[7,2,1,3,6,4,5]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,2,1,3,6,5,4]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,2,1,4,3,5,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,2,1,4,3,6,5]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,2,1,4,5,3,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,2,1,4,5,6,3]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[7,2,1,4,6,3,5]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,2,1,4,6,5,3]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,2,1,5,3,4,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,2,1,5,3,6,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,2,1,5,4,3,6]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,2,1,5,4,6,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,2,1,5,6,3,4]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,2,1,5,6,4,3]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,2,1,6,3,4,5]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,2,1,6,3,5,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,2,1,6,4,3,5]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,2,1,6,4,5,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,2,1,6,5,3,4]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,2,1,6,5,4,3]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[7,2,3,1,4,5,6]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,2,3,1,4,6,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,2,3,1,5,4,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,2,3,1,5,6,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,2,3,1,6,4,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,2,3,1,6,5,4]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,2,3,4,1,5,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,2,3,4,1,6,5]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,2,3,4,5,1,6]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,2,3,4,5,6,1]=>[1,5,1]=>[[5,5,1],[4]]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>29
[7,2,3,4,6,1,5]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,2,3,4,6,5,1]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[7,2,3,5,1,4,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,2,3,5,1,6,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,2,3,5,4,1,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,2,3,5,4,6,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,2,3,5,6,1,4]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,2,3,5,6,4,1]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[7,2,3,6,1,4,5]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,2,3,6,1,5,4]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,2,3,6,4,1,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,2,3,6,4,5,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,2,3,6,5,1,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,2,3,6,5,4,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[7,2,4,1,3,5,6]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,2,4,1,3,6,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,2,4,1,5,3,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,2,4,1,5,6,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,2,4,1,6,3,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,2,4,1,6,5,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,2,4,3,1,5,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,2,4,3,1,6,5]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,2,4,3,5,1,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,2,4,3,5,6,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,2,4,3,6,1,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,2,4,3,6,5,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,2,4,5,1,3,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,2,4,5,1,6,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,2,4,5,3,1,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,2,4,5,3,6,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,2,4,5,6,1,3]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,2,4,5,6,3,1]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[7,2,4,6,1,3,5]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,2,4,6,1,5,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,2,4,6,3,1,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,2,4,6,3,5,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,2,4,6,5,1,3]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,2,4,6,5,3,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[7,2,5,1,3,4,6]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,2,5,1,3,6,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,2,5,1,4,3,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,2,5,1,4,6,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,2,5,1,6,3,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,2,5,1,6,4,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,2,5,3,1,4,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,2,5,3,1,6,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,2,5,3,4,1,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,2,5,3,4,6,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,2,5,3,6,1,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,2,5,3,6,4,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,2,5,4,1,3,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,2,5,4,1,6,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,2,5,4,3,1,6]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,2,5,4,3,6,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,2,5,4,6,1,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,2,5,4,6,3,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,2,5,6,1,3,4]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,2,5,6,1,4,3]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,2,5,6,3,1,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,2,5,6,3,4,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,2,5,6,4,1,3]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,2,5,6,4,3,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[7,2,6,1,3,4,5]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,2,6,1,3,5,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,2,6,1,4,3,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,2,6,1,4,5,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,2,6,1,5,3,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,2,6,1,5,4,3]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,2,6,3,1,4,5]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,2,6,3,1,5,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,2,6,3,4,1,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,2,6,3,4,5,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,2,6,3,5,1,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,2,6,3,5,4,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,2,6,4,1,3,5]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,2,6,4,1,5,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,2,6,4,3,1,5]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,2,6,4,3,5,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,2,6,4,5,1,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,2,6,4,5,3,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,2,6,5,1,3,4]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,2,6,5,1,4,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,2,6,5,3,1,4]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,2,6,5,3,4,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,2,6,5,4,1,3]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,2,6,5,4,3,1]=>[1,2,1,1,1,1]=>[[2,2,2,2,2,1],[1,1,1,1]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[7,3,1,2,4,5,6]=>[1,1,5]=>[[5,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[7,3,1,2,4,6,5]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[7,3,1,2,5,4,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,3,1,2,5,6,4]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[7,3,1,2,6,4,5]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,3,1,2,6,5,4]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,3,1,4,2,5,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,3,1,4,2,6,5]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,3,1,4,5,2,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,3,1,4,5,6,2]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[7,3,1,4,6,2,5]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,3,1,4,6,5,2]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,3,1,5,2,4,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,3,1,5,2,6,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,3,1,5,4,2,6]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,3,1,5,4,6,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,3,1,5,6,2,4]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,3,1,5,6,4,2]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,3,1,6,2,4,5]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,3,1,6,2,5,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,3,1,6,4,2,5]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,3,1,6,4,5,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,3,1,6,5,2,4]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,3,1,6,5,4,2]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[7,3,2,1,4,5,6]=>[1,1,1,4]=>[[4,1,1,1],[]]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>20
[7,3,2,1,4,6,5]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,3,2,1,5,4,6]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,3,2,1,5,6,4]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,3,2,1,6,4,5]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,3,2,1,6,5,4]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[7,3,2,4,1,5,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,3,2,4,1,6,5]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,3,2,4,5,1,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,3,2,4,5,6,1]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[7,3,2,4,6,1,5]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,3,2,4,6,5,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,3,2,5,1,4,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,3,2,5,1,6,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,3,2,5,4,1,6]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,3,2,5,4,6,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,3,2,5,6,1,4]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,3,2,5,6,4,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,3,2,6,1,4,5]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,3,2,6,1,5,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,3,2,6,4,1,5]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,3,2,6,4,5,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,3,2,6,5,1,4]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,3,2,6,5,4,1]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[7,3,4,1,2,5,6]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,3,4,1,2,6,5]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,3,4,1,5,2,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,3,4,1,5,6,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,3,4,1,6,2,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,3,4,1,6,5,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,3,4,2,1,5,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,3,4,2,1,6,5]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,3,4,2,5,1,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,3,4,2,5,6,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,3,4,2,6,1,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,3,4,2,6,5,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,3,4,5,1,2,6]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,3,4,5,1,6,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,3,4,5,2,1,6]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,3,4,5,2,6,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,3,4,5,6,1,2]=>[1,4,2]=>[[5,4,1],[3]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,3,4,5,6,2,1]=>[1,4,1,1]=>[[4,4,4,1],[3,3]]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>55
[7,3,4,6,1,2,5]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,3,4,6,1,5,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,3,4,6,2,1,5]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,3,4,6,2,5,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,3,4,6,5,1,2]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,3,4,6,5,2,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[7,3,5,1,2,4,6]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,3,5,1,2,6,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,3,5,1,4,2,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,3,5,1,4,6,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,3,5,1,6,2,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,3,5,1,6,4,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,3,5,2,1,4,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,3,5,2,1,6,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,3,5,2,4,1,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,3,5,2,4,6,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,3,5,2,6,1,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,3,5,2,6,4,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,3,5,4,1,2,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,3,5,4,1,6,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,3,5,4,2,1,6]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,3,5,4,2,6,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,3,5,4,6,1,2]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,3,5,4,6,2,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,3,5,6,1,2,4]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,3,5,6,1,4,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,3,5,6,2,1,4]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,3,5,6,2,4,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,3,5,6,4,1,2]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,3,5,6,4,2,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[7,3,6,1,2,4,5]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,3,6,1,2,5,4]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,3,6,1,4,2,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,3,6,1,4,5,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,3,6,1,5,2,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,3,6,1,5,4,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,3,6,2,1,4,5]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,3,6,2,1,5,4]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,3,6,2,4,1,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,3,6,2,4,5,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,3,6,2,5,1,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,3,6,2,5,4,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,3,6,4,1,2,5]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,3,6,4,1,5,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,3,6,4,2,1,5]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,3,6,4,2,5,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,3,6,4,5,1,2]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,3,6,4,5,2,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,3,6,5,1,2,4]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,3,6,5,1,4,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,3,6,5,2,1,4]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,3,6,5,2,4,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,3,6,5,4,1,2]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,3,6,5,4,2,1]=>[1,2,1,1,1,1]=>[[2,2,2,2,2,1],[1,1,1,1]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[7,4,1,2,3,5,6]=>[1,1,5]=>[[5,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[7,4,1,2,3,6,5]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[7,4,1,2,5,3,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,4,1,2,5,6,3]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[7,4,1,2,6,3,5]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,4,1,2,6,5,3]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,4,1,3,2,5,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,4,1,3,2,6,5]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,4,1,3,5,2,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,4,1,3,5,6,2]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[7,4,1,3,6,2,5]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,4,1,3,6,5,2]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,4,1,5,2,3,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,4,1,5,2,6,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,4,1,5,3,2,6]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,4,1,5,3,6,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,4,1,5,6,2,3]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,4,1,5,6,3,2]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,4,1,6,2,3,5]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,4,1,6,2,5,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,4,1,6,3,2,5]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,4,1,6,3,5,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,4,1,6,5,2,3]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,4,1,6,5,3,2]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[7,4,2,1,3,5,6]=>[1,1,1,4]=>[[4,1,1,1],[]]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>20
[7,4,2,1,3,6,5]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,4,2,1,5,3,6]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,4,2,1,5,6,3]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,4,2,1,6,3,5]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,4,2,1,6,5,3]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[7,4,2,3,1,5,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,4,2,3,1,6,5]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,4,2,3,5,1,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,4,2,3,5,6,1]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[7,4,2,3,6,1,5]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,4,2,3,6,5,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,4,2,5,1,3,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,4,2,5,1,6,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,4,2,5,3,1,6]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,4,2,5,3,6,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,4,2,5,6,1,3]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,4,2,5,6,3,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,4,2,6,1,3,5]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,4,2,6,1,5,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,4,2,6,3,1,5]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,4,2,6,3,5,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,4,2,6,5,1,3]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,4,2,6,5,3,1]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[7,4,3,1,2,5,6]=>[1,1,1,4]=>[[4,1,1,1],[]]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>20
[7,4,3,1,2,6,5]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,4,3,1,5,2,6]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,4,3,1,5,6,2]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,4,3,1,6,2,5]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,4,3,1,6,5,2]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[7,4,3,2,1,5,6]=>[1,1,1,1,3]=>[[3,1,1,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[7,4,3,2,1,6,5]=>[1,1,1,1,2,1]=>[[2,2,1,1,1,1],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[7,4,3,2,5,1,6]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,4,3,2,5,6,1]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,4,3,2,6,1,5]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,4,3,2,6,5,1]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[7,4,3,5,1,2,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,4,3,5,1,6,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,4,3,5,2,1,6]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,4,3,5,2,6,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,4,3,5,6,1,2]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,4,3,5,6,2,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,4,3,6,1,2,5]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,4,3,6,1,5,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,4,3,6,2,1,5]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,4,3,6,2,5,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,4,3,6,5,1,2]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,4,3,6,5,2,1]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[7,4,5,1,2,3,6]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,4,5,1,2,6,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,4,5,1,3,2,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,4,5,1,3,6,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,4,5,1,6,2,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,4,5,1,6,3,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,4,5,2,1,3,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,4,5,2,1,6,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,4,5,2,3,1,6]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,4,5,2,3,6,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,4,5,2,6,1,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,4,5,2,6,3,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,4,5,3,1,2,6]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,4,5,3,1,6,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,4,5,3,2,1,6]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,4,5,3,2,6,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,4,5,3,6,1,2]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,4,5,3,6,2,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,4,5,6,1,2,3]=>[1,3,3]=>[[5,3,1],[2]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,4,5,6,1,3,2]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,4,5,6,2,1,3]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,4,5,6,2,3,1]=>[1,3,2,1]=>[[4,4,3,1],[3,2]]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>181
[7,4,5,6,3,1,2]=>[1,3,1,2]=>[[4,3,3,1],[2,2]]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>132
[7,4,5,6,3,2,1]=>[1,3,1,1,1]=>[[3,3,3,3,1],[2,2,2]]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>50
[7,4,6,1,2,3,5]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,4,6,1,2,5,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,4,6,1,3,2,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,4,6,1,3,5,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,4,6,1,5,2,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,4,6,1,5,3,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,4,6,2,1,3,5]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,4,6,2,1,5,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,4,6,2,3,1,5]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,4,6,2,3,5,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,4,6,2,5,1,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,4,6,2,5,3,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,4,6,3,1,2,5]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,4,6,3,1,5,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,4,6,3,2,1,5]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,4,6,3,2,5,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,4,6,3,5,1,2]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,4,6,3,5,2,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,4,6,5,1,2,3]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,4,6,5,1,3,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,4,6,5,2,1,3]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,4,6,5,2,3,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,4,6,5,3,1,2]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,4,6,5,3,2,1]=>[1,2,1,1,1,1]=>[[2,2,2,2,2,1],[1,1,1,1]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[7,5,1,2,3,4,6]=>[1,1,5]=>[[5,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[7,5,1,2,3,6,4]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[7,5,1,2,4,3,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,5,1,2,4,6,3]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[7,5,1,2,6,3,4]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,5,1,2,6,4,3]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,5,1,3,2,4,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,5,1,3,2,6,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,5,1,3,4,2,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,5,1,3,4,6,2]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[7,5,1,3,6,2,4]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,5,1,3,6,4,2]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,5,1,4,2,3,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,5,1,4,2,6,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,5,1,4,3,2,6]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,5,1,4,3,6,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,5,1,4,6,2,3]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,5,1,4,6,3,2]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,5,1,6,2,3,4]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,5,1,6,2,4,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,5,1,6,3,2,4]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,5,1,6,3,4,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,5,1,6,4,2,3]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,5,1,6,4,3,2]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[7,5,2,1,3,4,6]=>[1,1,1,4]=>[[4,1,1,1],[]]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>20
[7,5,2,1,3,6,4]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,5,2,1,4,3,6]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,5,2,1,4,6,3]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,5,2,1,6,3,4]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,5,2,1,6,4,3]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[7,5,2,3,1,4,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,5,2,3,1,6,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,5,2,3,4,1,6]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,5,2,3,4,6,1]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[7,5,2,3,6,1,4]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,5,2,3,6,4,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,5,2,4,1,3,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,5,2,4,1,6,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,5,2,4,3,1,6]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,5,2,4,3,6,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,5,2,4,6,1,3]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,5,2,4,6,3,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,5,2,6,1,3,4]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,5,2,6,1,4,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,5,2,6,3,1,4]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,5,2,6,3,4,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,5,2,6,4,1,3]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,5,2,6,4,3,1]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[7,5,3,1,2,4,6]=>[1,1,1,4]=>[[4,1,1,1],[]]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>20
[7,5,3,1,2,6,4]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,5,3,1,4,2,6]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,5,3,1,4,6,2]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,5,3,1,6,2,4]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,5,3,1,6,4,2]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[7,5,3,2,1,4,6]=>[1,1,1,1,3]=>[[3,1,1,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[7,5,3,2,1,6,4]=>[1,1,1,1,2,1]=>[[2,2,1,1,1,1],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[7,5,3,2,4,1,6]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,5,3,2,4,6,1]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,5,3,2,6,1,4]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,5,3,2,6,4,1]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[7,5,3,4,1,2,6]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,5,3,4,1,6,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,5,3,4,2,1,6]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,5,3,4,2,6,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,5,3,4,6,1,2]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,5,3,4,6,2,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,5,3,6,1,2,4]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,5,3,6,1,4,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,5,3,6,2,1,4]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,5,3,6,2,4,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,5,3,6,4,1,2]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,5,3,6,4,2,1]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[7,5,4,1,2,3,6]=>[1,1,1,4]=>[[4,1,1,1],[]]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>20
[7,5,4,1,2,6,3]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,5,4,1,3,2,6]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,5,4,1,3,6,2]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,5,4,1,6,2,3]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,5,4,1,6,3,2]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[7,5,4,2,1,3,6]=>[1,1,1,1,3]=>[[3,1,1,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[7,5,4,2,1,6,3]=>[1,1,1,1,2,1]=>[[2,2,1,1,1,1],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[7,5,4,2,3,1,6]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,5,4,2,3,6,1]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,5,4,2,6,1,3]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,5,4,2,6,3,1]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[7,5,4,3,1,2,6]=>[1,1,1,1,3]=>[[3,1,1,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[7,5,4,3,1,6,2]=>[1,1,1,1,2,1]=>[[2,2,1,1,1,1],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[7,5,4,3,2,1,6]=>[1,1,1,1,1,2]=>[[2,1,1,1,1,1],[]]=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>6
[7,5,4,3,2,6,1]=>[1,1,1,1,2,1]=>[[2,2,1,1,1,1],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[7,5,4,3,6,1,2]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,5,4,3,6,2,1]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[7,5,4,6,1,2,3]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,5,4,6,1,3,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,5,4,6,2,1,3]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,5,4,6,2,3,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,5,4,6,3,1,2]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,5,4,6,3,2,1]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[7,5,6,1,2,3,4]=>[1,2,4]=>[[5,2,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,5,6,1,2,4,3]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,5,6,1,3,2,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,5,6,1,3,4,2]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,5,6,1,4,2,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,5,6,1,4,3,2]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,5,6,2,1,3,4]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,5,6,2,1,4,3]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,5,6,2,3,1,4]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,5,6,2,3,4,1]=>[1,2,3,1]=>[[4,4,2,1],[3,1]]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>181
[7,5,6,2,4,1,3]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,5,6,2,4,3,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,5,6,3,1,2,4]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,5,6,3,1,4,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,5,6,3,2,1,4]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,5,6,3,2,4,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,5,6,3,4,1,2]=>[1,2,2,2]=>[[4,3,2,1],[2,1]]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>272
[7,5,6,3,4,2,1]=>[1,2,2,1,1]=>[[3,3,3,2,1],[2,2,1]]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>155
[7,5,6,4,1,2,3]=>[1,2,1,3]=>[[4,2,2,1],[1,1]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,5,6,4,1,3,2]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,5,6,4,2,1,3]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,5,6,4,2,3,1]=>[1,2,1,2,1]=>[[3,3,2,2,1],[2,1,1]]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>169
[7,5,6,4,3,1,2]=>[1,2,1,1,2]=>[[3,2,2,2,1],[1,1,1]]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>78
[7,5,6,4,3,2,1]=>[1,2,1,1,1,1]=>[[2,2,2,2,2,1],[1,1,1,1]]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>20
[7,6,1,2,3,4,5]=>[1,1,5]=>[[5,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[7,6,1,2,3,5,4]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[7,6,1,2,4,3,5]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,6,1,2,4,5,3]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[7,6,1,2,5,3,4]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,6,1,2,5,4,3]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,6,1,3,2,4,5]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,6,1,3,2,5,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,6,1,3,4,2,5]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,6,1,3,4,5,2]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[7,6,1,3,5,2,4]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,6,1,3,5,4,2]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,6,1,4,2,3,5]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,6,1,4,2,5,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,6,1,4,3,2,5]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,6,1,4,3,5,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,6,1,4,5,2,3]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,6,1,4,5,3,2]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,6,1,5,2,3,4]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,6,1,5,2,4,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,6,1,5,3,2,4]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,6,1,5,3,4,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,6,1,5,4,2,3]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,6,1,5,4,3,2]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[7,6,2,1,3,4,5]=>[1,1,1,4]=>[[4,1,1,1],[]]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>20
[7,6,2,1,3,5,4]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,6,2,1,4,3,5]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,6,2,1,4,5,3]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,6,2,1,5,3,4]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,6,2,1,5,4,3]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[7,6,2,3,1,4,5]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,6,2,3,1,5,4]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,6,2,3,4,1,5]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,6,2,3,4,5,1]=>[1,1,4,1]=>[[4,4,1,1],[3]]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>55
[7,6,2,3,5,1,4]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,6,2,3,5,4,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,6,2,4,1,3,5]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,6,2,4,1,5,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,6,2,4,3,1,5]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,6,2,4,3,5,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,6,2,4,5,1,3]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,6,2,4,5,3,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,6,2,5,1,3,4]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,6,2,5,1,4,3]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,6,2,5,3,1,4]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,6,2,5,3,4,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,6,2,5,4,1,3]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,6,2,5,4,3,1]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[7,6,3,1,2,4,5]=>[1,1,1,4]=>[[4,1,1,1],[]]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>20
[7,6,3,1,2,5,4]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,6,3,1,4,2,5]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,6,3,1,4,5,2]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,6,3,1,5,2,4]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,6,3,1,5,4,2]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[7,6,3,2,1,4,5]=>[1,1,1,1,3]=>[[3,1,1,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[7,6,3,2,1,5,4]=>[1,1,1,1,2,1]=>[[2,2,1,1,1,1],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[7,6,3,2,4,1,5]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,6,3,2,4,5,1]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,6,3,2,5,1,4]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,6,3,2,5,4,1]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[7,6,3,4,1,2,5]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,6,3,4,1,5,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,6,3,4,2,1,5]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,6,3,4,2,5,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,6,3,4,5,1,2]=>[1,1,3,2]=>[[4,3,1,1],[2]]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>111
[7,6,3,4,5,2,1]=>[1,1,3,1,1]=>[[3,3,3,1,1],[2,2]]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>71
[7,6,3,5,1,2,4]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,6,3,5,1,4,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,6,3,5,2,1,4]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,6,3,5,2,4,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,6,3,5,4,1,2]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,6,3,5,4,2,1]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[7,6,4,1,2,3,5]=>[1,1,1,4]=>[[4,1,1,1],[]]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>20
[7,6,4,1,2,5,3]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,6,4,1,3,2,5]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,6,4,1,3,5,2]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,6,4,1,5,2,3]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,6,4,1,5,3,2]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[7,6,4,2,1,3,5]=>[1,1,1,1,3]=>[[3,1,1,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[7,6,4,2,1,5,3]=>[1,1,1,1,2,1]=>[[2,2,1,1,1,1],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[7,6,4,2,3,1,5]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,6,4,2,3,5,1]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,6,4,2,5,1,3]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,6,4,2,5,3,1]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[7,6,4,3,1,2,5]=>[1,1,1,1,3]=>[[3,1,1,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[7,6,4,3,1,5,2]=>[1,1,1,1,2,1]=>[[2,2,1,1,1,1],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[7,6,4,3,2,1,5]=>[1,1,1,1,1,2]=>[[2,1,1,1,1,1],[]]=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>6
[7,6,4,3,2,5,1]=>[1,1,1,1,2,1]=>[[2,2,1,1,1,1],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[7,6,4,3,5,1,2]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,6,4,3,5,2,1]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[7,6,4,5,1,2,3]=>[1,1,2,3]=>[[4,2,1,1],[1]]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>90
[7,6,4,5,1,3,2]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,6,4,5,2,1,3]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,6,4,5,2,3,1]=>[1,1,2,2,1]=>[[3,3,2,1,1],[2,1]]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>155
[7,6,4,5,3,1,2]=>[1,1,2,1,2]=>[[3,2,2,1,1],[1,1]]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>99
[7,6,4,5,3,2,1]=>[1,1,2,1,1,1]=>[[2,2,2,2,1,1],[1,1,1]]=>([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>34
[7,6,5,1,2,3,4]=>[1,1,1,4]=>[[4,1,1,1],[]]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>20
[7,6,5,1,2,4,3]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,6,5,1,3,2,4]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,6,5,1,3,4,2]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,6,5,1,4,2,3]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,6,5,1,4,3,2]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[7,6,5,2,1,3,4]=>[1,1,1,1,3]=>[[3,1,1,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[7,6,5,2,1,4,3]=>[1,1,1,1,2,1]=>[[2,2,1,1,1,1],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[7,6,5,2,3,1,4]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,6,5,2,3,4,1]=>[1,1,1,3,1]=>[[3,3,1,1,1],[2]]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>50
[7,6,5,2,4,1,3]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,6,5,2,4,3,1]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[7,6,5,3,1,2,4]=>[1,1,1,1,3]=>[[3,1,1,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[7,6,5,3,1,4,2]=>[1,1,1,1,2,1]=>[[2,2,1,1,1,1],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[7,6,5,3,2,1,4]=>[1,1,1,1,1,2]=>[[2,1,1,1,1,1],[]]=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>6
[7,6,5,3,2,4,1]=>[1,1,1,1,2,1]=>[[2,2,1,1,1,1],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[7,6,5,3,4,1,2]=>[1,1,1,2,2]=>[[3,2,1,1,1],[1]]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>64
[7,6,5,3,4,2,1]=>[1,1,1,2,1,1]=>[[2,2,2,1,1,1],[1,1]]=>([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>34
[7,6,5,4,1,2,3]=>[1,1,1,1,3]=>[[3,1,1,1,1],[]]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>15
[7,6,5,4,1,3,2]=>[1,1,1,1,2,1]=>[[2,2,1,1,1,1],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[7,6,5,4,2,1,3]=>[1,1,1,1,1,2]=>[[2,1,1,1,1,1],[]]=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>6
[7,6,5,4,2,3,1]=>[1,1,1,1,2,1]=>[[2,2,1,1,1,1],[1]]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>20
[7,6,5,4,3,1,2]=>[1,1,1,1,1,2]=>[[2,1,1,1,1,1],[]]=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>6
[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1]=>[[1,1,1,1,1,1,1],[]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>1
[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1]=>[[1,1,1,1,1,1,1,1],[]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>1
[8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1],[]]=>([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)=>7
[8,7,6,5,4,2,1,3]=>[1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1],[]]=>([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)=>7
[8,7,6,5,4,1,2,3]=>[1,1,1,1,1,3]=>[[3,1,1,1,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[8,7,6,5,3,2,1,4]=>[1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1],[]]=>([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)=>7
[8,7,6,5,3,1,2,4]=>[1,1,1,1,1,3]=>[[3,1,1,1,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[8,7,6,5,2,1,3,4]=>[1,1,1,1,1,3]=>[[3,1,1,1,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[8,7,6,5,1,2,3,4]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,7,6,4,3,2,1,5]=>[1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1],[]]=>([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)=>7
[8,7,6,4,3,1,2,5]=>[1,1,1,1,1,3]=>[[3,1,1,1,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[8,7,6,4,2,1,3,5]=>[1,1,1,1,1,3]=>[[3,1,1,1,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[8,7,6,4,1,2,3,5]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,7,6,3,2,1,4,5]=>[1,1,1,1,1,3]=>[[3,1,1,1,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[8,7,6,3,1,2,4,5]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,7,6,2,1,3,4,5]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,7,6,1,2,3,4,5]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,7,5,4,3,2,1,6]=>[1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1],[]]=>([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)=>7
[8,7,5,4,3,1,2,6]=>[1,1,1,1,1,3]=>[[3,1,1,1,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[8,7,5,4,2,1,3,6]=>[1,1,1,1,1,3]=>[[3,1,1,1,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[8,7,5,4,1,2,3,6]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,7,5,3,2,1,4,6]=>[1,1,1,1,1,3]=>[[3,1,1,1,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[8,7,5,3,1,2,4,6]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,7,5,2,1,3,4,6]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,7,5,1,2,3,4,6]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,7,4,3,2,1,5,6]=>[1,1,1,1,1,3]=>[[3,1,1,1,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[8,7,4,3,1,2,5,6]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,7,4,2,1,3,5,6]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,7,4,1,2,3,5,6]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,7,3,2,1,4,5,6]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,7,2,1,3,4,5,6]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,7,1,2,3,4,5,6]=>[1,1,6]=>[[6,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[8,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1],[]]=>([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)=>7
[8,6,5,4,3,1,2,7]=>[1,1,1,1,1,3]=>[[3,1,1,1,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[8,6,5,4,2,1,3,7]=>[1,1,1,1,1,3]=>[[3,1,1,1,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[8,6,5,4,1,2,3,7]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,6,5,3,2,1,4,7]=>[1,1,1,1,1,3]=>[[3,1,1,1,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[8,6,5,3,1,2,4,7]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,6,5,2,1,3,4,7]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,6,5,1,2,3,4,7]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,6,4,3,2,1,5,7]=>[1,1,1,1,1,3]=>[[3,1,1,1,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[8,6,4,3,1,2,5,7]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,6,4,2,1,3,5,7]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,6,4,1,2,3,5,7]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,6,3,2,1,4,5,7]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,6,1,2,3,4,5,7]=>[1,1,6]=>[[6,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[8,5,4,3,2,1,6,7]=>[1,1,1,1,1,3]=>[[3,1,1,1,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[8,5,4,3,1,2,6,7]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,5,4,2,1,3,6,7]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,5,4,1,2,3,6,7]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,5,3,2,1,4,6,7]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,5,3,1,2,4,6,7]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,5,2,1,3,4,6,7]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,5,1,2,3,4,6,7]=>[1,1,6]=>[[6,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[8,4,3,2,1,5,6,7]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,4,3,1,2,5,6,7]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,4,2,1,3,5,6,7]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,4,1,2,3,5,6,7]=>[1,1,6]=>[[6,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[8,3,2,1,4,5,6,7]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[8,3,1,2,4,5,6,7]=>[1,1,6]=>[[6,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[8,2,1,3,4,5,6,7]=>[1,1,6]=>[[6,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[8,1,2,3,4,5,6,7]=>[1,7]=>[[7,1],[]]=>([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)=>7
[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1],[]]=>([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)=>7
[7,6,5,4,3,1,2,8]=>[1,1,1,1,1,3]=>[[3,1,1,1,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[7,6,5,4,2,1,3,8]=>[1,1,1,1,1,3]=>[[3,1,1,1,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[7,6,5,4,1,2,3,8]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[7,6,5,3,2,1,4,8]=>[1,1,1,1,1,3]=>[[3,1,1,1,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[7,6,5,3,1,2,4,8]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[7,6,5,2,1,3,4,8]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[7,6,5,1,2,3,4,8]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[7,6,4,3,2,1,5,8]=>[1,1,1,1,1,3]=>[[3,1,1,1,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[7,6,4,3,1,2,5,8]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[7,6,4,2,1,3,5,8]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[7,6,4,1,2,3,5,8]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[7,6,3,2,1,4,5,8]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[7,6,3,1,2,4,5,8]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[7,6,1,2,3,4,5,8]=>[1,1,6]=>[[6,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[7,5,4,3,2,1,6,8]=>[1,1,1,1,1,3]=>[[3,1,1,1,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[7,5,4,1,2,3,6,8]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[7,5,3,2,1,4,6,8]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[7,5,3,1,2,4,6,8]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[7,5,2,1,3,4,6,8]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[7,5,1,2,3,4,6,8]=>[1,1,6]=>[[6,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[7,4,3,2,1,5,6,8]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[7,4,3,1,2,5,6,8]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[7,4,1,2,3,5,6,8]=>[1,1,6]=>[[6,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[7,3,2,1,4,5,6,8]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[7,3,1,2,4,5,6,8]=>[1,1,6]=>[[6,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[7,2,1,3,4,5,6,8]=>[1,1,6]=>[[6,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[7,1,2,3,4,5,6,8]=>[1,7]=>[[7,1],[]]=>([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)=>7
[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,3]=>[[3,1,1,1,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[6,5,4,3,1,2,7,8]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[6,5,4,2,1,3,7,8]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[6,5,4,1,2,3,7,8]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[6,5,3,2,1,4,7,8]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[6,5,2,1,3,4,7,8]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[6,5,1,2,3,4,7,8]=>[1,1,6]=>[[6,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[6,4,3,2,1,5,7,8]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[6,4,3,1,2,5,7,8]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[6,4,2,1,3,5,7,8]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[6,4,1,2,3,5,7,8]=>[1,1,6]=>[[6,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[6,3,2,1,4,5,7,8]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[6,3,1,2,4,5,7,8]=>[1,1,6]=>[[6,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[6,2,1,3,4,5,7,8]=>[1,1,6]=>[[6,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[6,1,2,3,4,5,7,8]=>[1,7]=>[[7,1],[]]=>([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)=>7
[5,4,3,2,1,6,7,8]=>[1,1,1,1,4]=>[[4,1,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[5,4,3,1,2,6,7,8]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[5,4,2,1,3,6,7,8]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[5,4,1,2,3,6,7,8]=>[1,1,6]=>[[6,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[5,3,2,1,4,6,7,8]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[5,3,1,2,4,6,7,8]=>[1,1,6]=>[[6,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[5,2,1,3,4,6,7,8]=>[1,1,6]=>[[6,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[5,1,2,3,4,6,7,8]=>[1,7]=>[[7,1],[]]=>([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)=>7
[4,3,2,1,5,6,7,8]=>[1,1,1,5]=>[[5,1,1,1],[]]=>([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>35
[4,3,1,2,5,6,7,8]=>[1,1,6]=>[[6,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[4,2,1,3,5,6,7,8]=>[1,1,6]=>[[6,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[4,1,2,3,5,6,7,8]=>[1,7]=>[[7,1],[]]=>([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)=>7
[3,2,1,4,5,6,7,8]=>[1,1,6]=>[[6,1,1],[]]=>([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>21
[3,1,2,4,5,6,7,8]=>[1,7]=>[[7,1],[]]=>([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)=>7
[2,1,3,4,5,6,7,8]=>[1,7]=>[[7,1],[]]=>([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)=>7
[1,2,3,4,5,6,7,8]=>[8]=>[[8],[]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>1
[10,9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1]=>[[1,1,1,1,1,1,1,1,1,1],[]]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>1
[9,1,2,3,4,5,6,7,8]=>[1,8]=>[[8,1],[]]=>([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)=>8
[9,3,1,2,4,5,6,7,8]=>[1,1,7]=>[[7,1,1],[]]=>([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>28
[9,4,1,2,3,5,6,7,8]=>[1,1,7]=>[[7,1,1],[]]=>([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>28
[9,6,1,2,3,4,5,7,8]=>[1,1,7]=>[[7,1,1],[]]=>([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>28
[9,7,1,2,3,4,5,6,8]=>[1,1,7]=>[[7,1,1],[]]=>([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>28
[9,5,4,1,2,3,6,7,8]=>[1,1,1,6]=>[[6,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)=>56
[9,7,4,1,2,3,5,6,8]=>[1,1,1,6]=>[[6,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)=>56
[9,8,4,1,2,3,5,6,7]=>[1,1,1,6]=>[[6,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)=>56
[9,8,6,5,1,2,3,4,7]=>[1,1,1,1,5]=>[[5,1,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(8,4)],9)=>70
[2,1,3,4,5,6,7,8,9]=>[1,8]=>[[8,1],[]]=>([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)=>8
[2,1,3,4,5,6,7,8,9,10]=>[1,9]=>[[9,1],[]]=>([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>9
[1,2,3,4,5,6,7,8,9]=>[9]=>[[9],[]]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>1
[1,2,3,4,5,6,7,8,9,10]=>[10]=>[[10],[]]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>1
[9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1]=>[[1,1,1,1,1,1,1,1,1],[]]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>1
[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1,1],[]]=>([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)=>8
[8,7,6,5,4,3,1,2,9]=>[1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1],[]]=>([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>28
[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1,1,1],[]]=>([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>9
[10,1,2,3,4,5,6,7,8,9]=>[1,9]=>[[9,1],[]]=>([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>9
[10,9,1,2,3,4,5,6,7,8]=>[1,1,8]=>[[8,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[9,2,1,3,4,5,6,7,8]=>[1,1,7]=>[[7,1,1],[]]=>([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>28
[10,2,1,3,4,5,6,7,8,9]=>[1,1,8]=>[[8,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[9,8,1,2,3,4,5,6,7]=>[1,1,7]=>[[7,1,1],[]]=>([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>28
[9,8,7,1,2,3,4,5,6]=>[1,1,1,6]=>[[6,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)=>56
[9,8,7,6,1,2,3,4,5]=>[1,1,1,1,5]=>[[5,1,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(8,4)],9)=>70
[9,8,7,6,5,1,2,3,4]=>[1,1,1,1,1,4]=>[[4,1,1,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)=>56
[9,8,7,6,5,4,1,2,3]=>[1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1],[]]=>([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>28
[9,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1,1],[]]=>([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)=>8
[10,9,8,1,2,3,4,5,6,7]=>[1,1,1,7]=>[[7,1,1,1],[]]=>([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],10)=>84
[10,9,8,7,1,2,3,4,5,6]=>[1,1,1,1,6]=>[[6,1,1,1,1],[]]=>([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],10)=>126
[10,9,8,7,6,1,2,3,4,5]=>[1,1,1,1,1,5]=>[[5,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],10)=>126
[10,9,8,7,6,5,1,2,3,4]=>[1,1,1,1,1,1,4]=>[[4,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],10)=>84
[10,9,8,7,6,5,4,1,2,3]=>[1,1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[10,9,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1,1,1],[]]=>([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>9
[8,1,2,3,4,5,6,7,9]=>[1,8]=>[[8,1],[]]=>([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)=>8
[9,1,2,3,4,5,6,7,8,10]=>[1,9]=>[[9,1],[]]=>([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>9
[7,1,2,3,4,5,6,8,9]=>[1,8]=>[[8,1],[]]=>([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)=>8
[3,2,1,4,5,6,7,8,9]=>[1,1,7]=>[[7,1,1],[]]=>([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>28
[4,3,2,1,5,6,7,8,9]=>[1,1,1,6]=>[[6,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)=>56
[5,4,3,2,1,6,7,8,9]=>[1,1,1,1,5]=>[[5,1,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(8,4)],9)=>70
[6,5,4,3,2,1,7,8,9]=>[1,1,1,1,1,4]=>[[4,1,1,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)=>56
[7,6,5,4,3,2,1,8,9]=>[1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1],[]]=>([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>28
[3,2,1,4,5,6,7,8,9,10]=>[1,1,8]=>[[8,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[4,3,2,1,5,6,7,8,9,10]=>[1,1,1,7]=>[[7,1,1,1],[]]=>([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],10)=>84
[5,4,3,2,1,6,7,8,9,10]=>[1,1,1,1,6]=>[[6,1,1,1,1],[]]=>([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],10)=>126
[6,5,4,3,2,1,7,8,9,10]=>[1,1,1,1,1,5]=>[[5,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],10)=>126
[7,6,5,4,3,2,1,8,9,10]=>[1,1,1,1,1,1,4]=>[[4,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],10)=>84
[8,7,6,5,4,3,2,1,9,10]=>[1,1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[3,1,2,4,5,6,7,8,9]=>[1,8]=>[[8,1],[]]=>([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)=>8
[9,8,7,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1,1],[]]=>([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)=>8
[9,8,7,6,5,3,2,1,4]=>[1,1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1,1],[]]=>([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)=>8
[9,8,7,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1,1],[]]=>([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)=>8
[9,8,7,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1,1],[]]=>([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)=>8
[9,8,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1,1],[]]=>([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)=>8
[9,7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1,1],[]]=>([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)=>8
[10,9,8,7,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1,1,1],[]]=>([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>9
[10,9,8,7,6,5,3,2,1,4]=>[1,1,1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1,1,1],[]]=>([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>9
[10,9,8,7,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1,1,1],[]]=>([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>9
[10,9,8,7,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1,1,1],[]]=>([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>9
[10,9,8,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1,1,1],[]]=>([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>9
[10,9,7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1,1,1],[]]=>([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>9
[10,8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,2]=>[[2,1,1,1,1,1,1,1,1],[]]=>([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>9
[10,3,1,2,4,5,6,7,8,9]=>[1,1,8]=>[[8,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[10,4,1,2,3,5,6,7,8,9]=>[1,1,8]=>[[8,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[10,6,1,2,3,4,5,7,8,9]=>[1,1,8]=>[[8,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[10,7,1,2,3,4,5,6,8,9]=>[1,1,8]=>[[8,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[9,8,7,6,5,4,3,1,2,10]=>[1,1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[8,7,6,5,4,2,1,3,9]=>[1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1],[]]=>([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>28
[8,2,1,3,4,5,6,7,9]=>[1,1,7]=>[[7,1,1],[]]=>([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>28
[9,7,6,5,4,3,1,2,8]=>[1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1],[]]=>([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>28
[8,6,5,4,3,2,1,7,9]=>[1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1],[]]=>([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>28
[3,1,2,4,5,6,7,8,9,10]=>[1,9]=>[[9,1],[]]=>([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>9
[9,7,6,5,4,3,2,1,8,10]=>[1,1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[5,4,1,2,3,6,7,8,9]=>[1,1,7]=>[[7,1,1],[]]=>([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>28
[5,4,1,2,3,6,7,8,9,10]=>[1,1,8]=>[[8,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[4,1,2,3,5,6,7,8,9,10]=>[1,9]=>[[9,1],[]]=>([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>9
[5,1,2,3,4,6,7,8,9,10]=>[1,9]=>[[9,1],[]]=>([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>9
[8,1,2,3,4,5,6,7,9,10]=>[1,9]=>[[9,1],[]]=>([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>9
[7,1,2,3,4,5,6,8,9,10]=>[1,9]=>[[9,1],[]]=>([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>9
[6,1,2,3,4,5,7,8,9,10]=>[1,9]=>[[9,1],[]]=>([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>9
[8,6,4,2,1,3,5,7,9]=>[1,1,1,1,5]=>[[5,1,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(8,4)],9)=>70
[9,7,5,3,1,2,4,6,8]=>[1,1,1,1,5]=>[[5,1,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(8,4)],9)=>70
[10,8,6,4,2,1,3,5,7,9]=>[1,1,1,1,1,5]=>[[5,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],10)=>126
[9,7,5,3,1,2,4,6,8,10]=>[1,1,1,1,6]=>[[6,1,1,1,1],[]]=>([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],10)=>126
[8,7,6,5,3,2,1,4,9]=>[1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1],[]]=>([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>28
[8,7,6,4,3,2,1,5,9]=>[1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1],[]]=>([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>28
[8,7,5,4,3,2,1,6,9]=>[1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1],[]]=>([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>28
[8,7,6,5,4,1,2,3,9]=>[1,1,1,1,1,4]=>[[4,1,1,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)=>56
[9,8,7,6,5,4,2,1,3,10]=>[1,1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[9,8,7,6,5,3,2,1,4,10]=>[1,1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[9,8,7,6,4,3,2,1,5,10]=>[1,1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[9,8,7,5,4,3,2,1,6,10]=>[1,1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[9,8,6,5,4,3,2,1,7,10]=>[1,1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[5,4,2,1,3,6,7,8,9]=>[1,1,1,6]=>[[6,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)=>56
[5,4,2,1,3,6,7,8,9,10]=>[1,1,1,7]=>[[7,1,1,1],[]]=>([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],10)=>84
[8,7,1,2,3,4,5,6,9]=>[1,1,7]=>[[7,1,1],[]]=>([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>28
[9,8,7,6,1,2,3,4,5,10]=>[1,1,1,1,6]=>[[6,1,1,1,1],[]]=>([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],10)=>126
[6,1,2,3,4,5,7,8,9]=>[1,8]=>[[8,1],[]]=>([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)=>8
[5,1,2,3,4,6,7,8,9]=>[1,8]=>[[8,1],[]]=>([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)=>8
[4,1,2,3,5,6,7,8,9]=>[1,8]=>[[8,1],[]]=>([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)=>8
[9,8,2,1,3,4,5,6,7]=>[1,1,1,6]=>[[6,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)=>56
[4,3,1,2,5,6,7,8,9]=>[1,1,7]=>[[7,1,1],[]]=>([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>28
[4,3,1,2,5,6,7,8,9,10]=>[1,1,8]=>[[8,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[5,4,3,1,2,6,7,8,9]=>[1,1,1,6]=>[[6,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)=>56
[6,5,4,3,1,2,7,8,9]=>[1,1,1,1,5]=>[[5,1,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(8,4)],9)=>70
[9,4,3,1,2,5,6,7,8]=>[1,1,1,6]=>[[6,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)=>56
[7,6,5,4,3,1,2,8,9]=>[1,1,1,1,1,4]=>[[4,1,1,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)=>56
[9,6,5,4,3,1,2,7,8]=>[1,1,1,1,1,4]=>[[4,1,1,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)=>56
[5,4,3,1,2,6,7,8,9,10]=>[1,1,1,7]=>[[7,1,1,1],[]]=>([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],10)=>84
[6,5,4,3,1,2,7,8,9,10]=>[1,1,1,1,6]=>[[6,1,1,1,1],[]]=>([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],10)=>126
[7,6,5,4,3,1,2,8,9,10]=>[1,1,1,1,1,5]=>[[5,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],10)=>126
[10,5,4,3,1,2,6,7,8,9]=>[1,1,1,1,6]=>[[6,1,1,1,1],[]]=>([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],10)=>126
[8,7,6,5,4,3,1,2,9,10]=>[1,1,1,1,1,1,4]=>[[4,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],10)=>84
[10,7,6,5,4,3,1,2,8,9]=>[1,1,1,1,1,1,4]=>[[4,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],10)=>84
[8,7,5,3,1,2,4,6,9]=>[1,1,1,1,5]=>[[5,1,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(8,4)],9)=>70
[10,9,7,5,3,1,2,4,6,8]=>[1,1,1,1,1,5]=>[[5,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],10)=>126
[7,5,3,1,2,4,6,8,9]=>[1,1,1,6]=>[[6,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)=>56
[10,9,8,6,4,2,1,3,5,7]=>[1,1,1,1,1,1,4]=>[[4,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],10)=>84
[10,8,7,6,4,2,1,3,5,9]=>[1,1,1,1,1,1,4]=>[[4,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],10)=>84
[10,9,8,7,6,4,2,1,3,5]=>[1,1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[10,8,6,5,4,2,1,3,7,9]=>[1,1,1,1,1,1,4]=>[[4,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],10)=>84
[10,9,8,6,5,4,2,1,3,7]=>[1,1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[10,8,7,6,5,4,2,1,3,9]=>[1,1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[10,8,6,4,3,2,1,5,7,9]=>[1,1,1,1,1,1,4]=>[[4,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],10)=>84
[10,9,8,6,4,3,2,1,5,7]=>[1,1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[10,8,7,6,4,3,2,1,5,9]=>[1,1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[10,8,6,5,4,3,2,1,7,9]=>[1,1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[10,8,7,6,5,4,3,1,2,9]=>[1,1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[9,6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1],[]]=>([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>28
[10,7,6,5,4,3,2,1,8,9]=>[1,1,1,1,1,1,1,3]=>[[3,1,1,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)=>36
[9,5,4,3,2,1,6,7,8]=>[1,1,1,1,1,4]=>[[4,1,1,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)=>56
[10,5,4,1,2,3,6,7,8,9]=>[1,1,1,7]=>[[7,1,1,1],[]]=>([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],10)=>84
[9,8,6,4,2,1,3,5,7]=>[1,1,1,1,1,4]=>[[4,1,1,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)=>56
[7,6,4,2,1,3,5,8,9]=>[1,1,1,1,5]=>[[5,1,1,1,1],[]]=>([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(8,4)],9)=>70
[9,8,6,4,2,1,3,5,7,10]=>[1,1,1,1,1,5]=>[[5,1,1,1,1,1],[]]=>([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],10)=>126
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Description
The number of linear extensions of a poset.
Map
to ribbon
Description
The ribbon shape corresponding to an integer composition.
For an integer composition $(a_1, \dots, a_n)$, this is the ribbon shape whose $i$th row from the bottom has $a_i$ cells.
For an integer composition $(a_1, \dots, a_n)$, this is the ribbon shape whose $i$th row from the bottom has $a_i$ cells.
Map
descent composition
Description
The descent composition of a permutation.
The descent composition of a permutation $\pi$ of length $n$ is the integer composition of $n$ whose descent set equals the descent set of $\pi$. The descent set of a permutation $\pi$ is $\{i \mid 1 \leq i < n, \pi(i) > \pi(i+1)\}$. The descent set of a composition $c = (i_1, i_2, \ldots, i_k)$ is the set $\{ i_1, i_1 + i_2, i_1 + i_2 + i_3, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$.
The descent composition of a permutation $\pi$ of length $n$ is the integer composition of $n$ whose descent set equals the descent set of $\pi$. The descent set of a permutation $\pi$ is $\{i \mid 1 \leq i < n, \pi(i) > \pi(i+1)\}$. The descent set of a composition $c = (i_1, i_2, \ldots, i_k)$ is the set $\{ i_1, i_1 + i_2, i_1 + i_2 + i_3, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$.
Map
cell poset
Description
The Young diagram of a skew partition regarded as a poset.
This is the poset on the cells of the Young diagram, such that a cell $d$ is greater than a cell $c$ if the entry in $d$ must be larger than the entry of $c$ in any standard Young tableau on the skew partition.
This is the poset on the cells of the Young diagram, such that a cell $d$ is greater than a cell $c$ if the entry in $d$ must be larger than the entry of $c$ in any standard Young tableau on the skew partition.
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