Identifier
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.
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 $\{ i_1, i_1 + i_2, i_1 + i_2 + i_3, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$.
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.