- FindStat

Identifier

Mp00112: Set partitions —complement⟶ Set partitions
Mp00174: Set partitions —dual major index to intertwining number⟶ Set partitions
St001094: Set partitions ⟶ ℤ

Values

{{1}} => {{1}} => {{1}} => 0

{{1,2}} => {{1,2}} => {{1,2}} => 1

{{1},{2}} => {{1},{2}} => {{1},{2}} => 0

{{1,2,3}} => {{1,2,3}} => {{1,2,3}} => 3

{{1,2},{3}} => {{1},{2,3}} => {{1,3},{2}} => 1

{{1,3},{2}} => {{1,3},{2}} => {{1},{2,3}} => 2

{{1},{2,3}} => {{1,2},{3}} => {{1,2},{3}} => 2

{{1},{2},{3}} => {{1},{2},{3}} => {{1},{2},{3}} => 0

{{1,2,3,4}} => {{1,2,3,4}} => {{1,2,3,4}} => 6

{{1,2,3},{4}} => {{1},{2,3,4}} => {{1,3},{2,4}} => 3

{{1,2,4},{3}} => {{1,3,4},{2}} => {{1},{2,3,4}} => 5

{{1,2},{3,4}} => {{1,2},{3,4}} => {{1,2,4},{3}} => 4

{{1,2},{3},{4}} => {{1},{2},{3,4}} => {{1,4},{2},{3}} => 1

{{1,3,4},{2}} => {{1,2,4},{3}} => {{1,2},{3,4}} => 5

{{1,3},{2,4}} => {{1,3},{2,4}} => {{1,4},{2,3}} => 4

{{1,3},{2},{4}} => {{1},{2,4},{3}} => {{1},{2,4},{3}} => 2

{{1,4},{2,3}} => {{1,4},{2,3}} => {{1,3,4},{2}} => 4

{{1},{2,3,4}} => {{1,2,3},{4}} => {{1,2,3},{4}} => 5

{{1},{2,3},{4}} => {{1},{2,3},{4}} => {{1,3},{2},{4}} => 2

{{1,4},{2},{3}} => {{1,4},{2},{3}} => {{1},{2},{3,4}} => 3

{{1},{2,4},{3}} => {{1,3},{2},{4}} => {{1},{2,3},{4}} => 3

{{1},{2},{3,4}} => {{1,2},{3},{4}} => {{1,2},{3},{4}} => 3

{{1},{2},{3},{4}} => {{1},{2},{3},{4}} => {{1},{2},{3},{4}} => 0

{{1,2,3,4,5}} => {{1,2,3,4,5}} => {{1,2,3,4,5}} => 10

{{1,2,3,4},{5}} => {{1},{2,3,4,5}} => {{1,3,5},{2,4}} => 6

{{1,2,3,5},{4}} => {{1,3,4,5},{2}} => {{1},{2,3,4,5}} => 9

{{1,2,3},{4,5}} => {{1,2},{3,4,5}} => {{1,2,4},{3,5}} => 7

{{1,2,3},{4},{5}} => {{1},{2},{3,4,5}} => {{1,4},{2,5},{3}} => 3

{{1,2,4,5},{3}} => {{1,2,4,5},{3}} => {{1,2},{3,4,5}} => 9

{{1,2,4},{3,5}} => {{1,3},{2,4,5}} => {{1,4},{2,3,5}} => 7

{{1,2,4},{3},{5}} => {{1},{2,4,5},{3}} => {{1},{2,4},{3,5}} => 5

{{1,2,5},{3,4}} => {{1,4,5},{2,3}} => {{1,3,4,5},{2}} => 8

{{1,2},{3,4,5}} => {{1,2,3},{4,5}} => {{1,2,3,5},{4}} => 8

{{1,2},{3,4},{5}} => {{1},{2,3},{4,5}} => {{1,3},{2,5},{4}} => 4

{{1,2,5},{3},{4}} => {{1,4,5},{2},{3}} => {{1},{2},{3,4,5}} => 7

{{1,2},{3,5},{4}} => {{1,3},{2},{4,5}} => {{1,5},{2,3},{4}} => 5

{{1,2},{3},{4,5}} => {{1,2},{3},{4,5}} => {{1,2,5},{3},{4}} => 5

{{1,2},{3},{4},{5}} => {{1},{2},{3},{4,5}} => {{1,5},{2},{3},{4}} => 1

{{1,3,4,5},{2}} => {{1,2,3,5},{4}} => {{1,2,3},{4,5}} => 9

{{1,3,4},{2,5}} => {{1,4},{2,3,5}} => {{1,3,4},{2,5}} => 7

{{1,3,4},{2},{5}} => {{1},{2,3,5},{4}} => {{1,3,5},{2},{4}} => 5

{{1,3,5},{2,4}} => {{1,3,5},{2,4}} => {{1,4,5},{2,3}} => 8

{{1,3},{2,4,5}} => {{1,2,4},{3,5}} => {{1,2,5},{3,4}} => 8

{{1,3},{2,4},{5}} => {{1},{2,4},{3,5}} => {{1,5},{2,4},{3}} => 4

{{1,3,5},{2},{4}} => {{1,3,5},{2},{4}} => {{1},{2,3},{4,5}} => 7

{{1,3},{2,5},{4}} => {{1,4},{2},{3,5}} => {{1,5},{2},{3,4}} => 5

{{1,3},{2},{4,5}} => {{1,2},{3,5},{4}} => {{1,2},{3,5},{4}} => 6

{{1,3},{2},{4},{5}} => {{1},{2},{3,5},{4}} => {{1},{2,5},{3},{4}} => 2

{{1,4,5},{2,3}} => {{1,2,5},{3,4}} => {{1,2,4,5},{3}} => 8

{{1,4},{2,3,5}} => {{1,3,4},{2,5}} => {{1,5},{2,3,4}} => 8

{{1,4},{2,3},{5}} => {{1},{2,5},{3,4}} => {{1,4},{2},{3,5}} => 4

{{1,5},{2,3,4}} => {{1,5},{2,3,4}} => {{1,3},{2,4,5}} => 7

{{1},{2,3,4,5}} => {{1,2,3,4},{5}} => {{1,2,3,4},{5}} => 9

{{1},{2,3,4},{5}} => {{1},{2,3,4},{5}} => {{1,3},{2,4},{5}} => 5

{{1,5},{2,3},{4}} => {{1,5},{2},{3,4}} => {{1,4,5},{2},{3}} => 5

{{1},{2,3,5},{4}} => {{1,3,4},{2},{5}} => {{1},{2,3,4},{5}} => 7

{{1},{2,3},{4,5}} => {{1,2},{3,4},{5}} => {{1,2,4},{3},{5}} => 6

{{1},{2,3},{4},{5}} => {{1},{2},{3,4},{5}} => {{1,4},{2},{3},{5}} => 2

{{1,4,5},{2},{3}} => {{1,2,5},{3},{4}} => {{1,2},{3},{4,5}} => 7

{{1,4},{2,5},{3}} => {{1,4},{2,5},{3}} => {{1},{2,5},{3,4}} => 6

{{1,4},{2},{3,5}} => {{1,3},{2,5},{4}} => {{1},{2,3,5},{4}} => 6

{{1,4},{2},{3},{5}} => {{1},{2,5},{3},{4}} => {{1},{2},{3,5},{4}} => 3

{{1,5},{2,4},{3}} => {{1,5},{2,4},{3}} => {{1},{2,4,5},{3}} => 6

{{1},{2,4,5},{3}} => {{1,2,4},{3},{5}} => {{1,2},{3,4},{5}} => 7

{{1},{2,4},{3,5}} => {{1,3},{2,4},{5}} => {{1,4},{2,3},{5}} => 6

{{1},{2,4},{3},{5}} => {{1},{2,4},{3},{5}} => {{1},{2,4},{3},{5}} => 3

{{1,5},{2},{3,4}} => {{1,5},{2,3},{4}} => {{1,3},{2},{4,5}} => 6

{{1},{2,5},{3,4}} => {{1,4},{2,3},{5}} => {{1,3,4},{2},{5}} => 6

{{1},{2},{3,4,5}} => {{1,2,3},{4},{5}} => {{1,2,3},{4},{5}} => 7

{{1},{2},{3,4},{5}} => {{1},{2,3},{4},{5}} => {{1,3},{2},{4},{5}} => 3

{{1,5},{2},{3},{4}} => {{1,5},{2},{3},{4}} => {{1},{2},{3},{4,5}} => 4

{{1},{2,5},{3},{4}} => {{1,4},{2},{3},{5}} => {{1},{2},{3,4},{5}} => 4

{{1},{2},{3,5},{4}} => {{1,3},{2},{4},{5}} => {{1},{2,3},{4},{5}} => 4

{{1},{2},{3},{4,5}} => {{1,2},{3},{4},{5}} => {{1,2},{3},{4},{5}} => 4

{{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}} => 0

{{1,2,3,4,5,6}} => {{1,2,3,4,5,6}} => {{1,2,3,4,5,6}} => 15

{{1,2,3,4,5},{6}} => {{1},{2,3,4,5,6}} => {{1,3,5},{2,4,6}} => 10

{{1,2,3,4,6},{5}} => {{1,3,4,5,6},{2}} => {{1},{2,3,4,5,6}} => 14

{{1,2,3,4},{5,6}} => {{1,2},{3,4,5,6}} => {{1,2,4,6},{3,5}} => 11

{{1,2,3,4},{5},{6}} => {{1},{2},{3,4,5,6}} => {{1,4},{2,5},{3,6}} => 6

{{1,2,3,5,6},{4}} => {{1,2,4,5,6},{3}} => {{1,2},{3,4,5,6}} => 14

{{1,2,3,5},{4,6}} => {{1,3},{2,4,5,6}} => {{1,4,6},{2,3,5}} => 11

{{1,2,3,5},{4},{6}} => {{1},{2,4,5,6},{3}} => {{1},{2,4,6},{3,5}} => 9

{{1,2,3,6},{4,5}} => {{1,4,5,6},{2,3}} => {{1,3,4,5,6},{2}} => 13

{{1,2,3},{4,5,6}} => {{1,2,3},{4,5,6}} => {{1,2,3,5},{4,6}} => 12

{{1,2,3},{4,5},{6}} => {{1},{2,3},{4,5,6}} => {{1,3,6},{2,5},{4}} => 7

{{1,2,3,6},{4},{5}} => {{1,4,5,6},{2},{3}} => {{1},{2},{3,4,5,6}} => 12

{{1,2,3},{4,6},{5}} => {{1,3},{2},{4,5,6}} => {{1,5},{2,3,6},{4}} => 8

{{1,2,3},{4},{5,6}} => {{1,2},{3},{4,5,6}} => {{1,2,5},{3,6},{4}} => 8

{{1,2,3},{4},{5},{6}} => {{1},{2},{3},{4,5,6}} => {{1,5},{2,6},{3},{4}} => 3

{{1,2,4,5,6},{3}} => {{1,2,3,5,6},{4}} => {{1,2,3},{4,5,6}} => 14

{{1,2,4,5},{3,6}} => {{1,4},{2,3,5,6}} => {{1,3,4,6},{2,5}} => 11

{{1,2,4,5},{3},{6}} => {{1},{2,3,5,6},{4}} => {{1,3,5},{2},{4,6}} => 9

{{1,2,4,6},{3,5}} => {{1,3,5,6},{2,4}} => {{1,4,5,6},{2,3}} => 13

{{1,2,4},{3,5,6}} => {{1,2,4},{3,5,6}} => {{1,2,5},{3,4,6}} => 12

{{1,2,4},{3,5},{6}} => {{1},{2,4},{3,5,6}} => {{1,5},{2,4},{3,6}} => 7

{{1,2,4,6},{3},{5}} => {{1,3,5,6},{2},{4}} => {{1},{2,3},{4,5,6}} => 12

{{1,2,4},{3,6},{5}} => {{1,4},{2},{3,5,6}} => {{1,5},{2,6},{3,4}} => 8

{{1,2,4},{3},{5,6}} => {{1,2},{3,5,6},{4}} => {{1,2},{3,5},{4,6}} => 10

{{1,2,4},{3},{5},{6}} => {{1},{2},{3,5,6},{4}} => {{1},{2,5},{3,6},{4}} => 5

{{1,2,5,6},{3,4}} => {{1,2,5,6},{3,4}} => {{1,2,4,5,6},{3}} => 13

>>> Load all 1305 entries. <<<

{{1,2,5},{3,4,6}} => {{1,3,4},{2,5,6}} => {{1,5},{2,3,4,6}} => 12

{{1,2,5},{3,4},{6}} => {{1},{2,5,6},{3,4}} => {{1,4,6},{2},{3,5}} => 8

{{1,2,6},{3,4,5}} => {{1,5,6},{2,3,4}} => {{1,3},{2,4,5,6}} => 12

{{1,2},{3,4,5,6}} => {{1,2,3,4},{5,6}} => {{1,2,3,4,6},{5}} => 13

{{1,2},{3,4,5},{6}} => {{1},{2,3,4},{5,6}} => {{1,3,6},{2,4},{5}} => 8

{{1,2,6},{3,4},{5}} => {{1,5,6},{2},{3,4}} => {{1,4,5,6},{2},{3}} => 10

{{1,2},{3,4,6},{5}} => {{1,3,4},{2},{5,6}} => {{1,6},{2,3,4},{5}} => 10

{{1,2},{3,4},{5,6}} => {{1,2},{3,4},{5,6}} => {{1,2,4},{3,6},{5}} => 9

{{1,2},{3,4},{5},{6}} => {{1},{2},{3,4},{5,6}} => {{1,4},{2,6},{3},{5}} => 4

{{1,2,5,6},{3},{4}} => {{1,2,5,6},{3},{4}} => {{1,2},{3},{4,5,6}} => 12

{{1,2,5},{3,6},{4}} => {{1,4},{2,5,6},{3}} => {{1},{2,5},{3,4,6}} => 10

{{1,2,5},{3},{4,6}} => {{1,3},{2,5,6},{4}} => {{1},{2,3,5},{4,6}} => 10

{{1,2,5},{3},{4},{6}} => {{1},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6}} => 7

{{1,2,6},{3,5},{4}} => {{1,5,6},{2,4},{3}} => {{1},{2,4,5,6},{3}} => 11

{{1,2},{3,5,6},{4}} => {{1,2,4},{3},{5,6}} => {{1,2,6},{3,4},{5}} => 10

{{1,2},{3,5},{4,6}} => {{1,3},{2,4},{5,6}} => {{1,4},{2,3,6},{5}} => 9

{{1,2},{3,5},{4},{6}} => {{1},{2,4},{3},{5,6}} => {{1,6},{2,4},{3},{5}} => 5

{{1,2,6},{3},{4,5}} => {{1,5,6},{2,3},{4}} => {{1,3},{2},{4,5,6}} => 11

{{1,2},{3,6},{4,5}} => {{1,4},{2,3},{5,6}} => {{1,3,4},{2,6},{5}} => 9

{{1,2},{3},{4,5,6}} => {{1,2,3},{4},{5,6}} => {{1,2,3,6},{4},{5}} => 10

{{1,2},{3},{4,5},{6}} => {{1},{2,3},{4},{5,6}} => {{1,3},{2,6},{4},{5}} => 5

{{1,2,6},{3},{4},{5}} => {{1,5,6},{2},{3},{4}} => {{1},{2},{3},{4,5,6}} => 9

{{1,2},{3,6},{4},{5}} => {{1,4},{2},{3},{5,6}} => {{1,6},{2},{3,4},{5}} => 6

{{1,2},{3},{4,6},{5}} => {{1,3},{2},{4},{5,6}} => {{1,6},{2,3},{4},{5}} => 6

{{1,2},{3},{4},{5,6}} => {{1,2},{3},{4},{5,6}} => {{1,2,6},{3},{4},{5}} => 6

{{1,2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,6}} => {{1,6},{2},{3},{4},{5}} => 1

{{1,3,4,5,6},{2}} => {{1,2,3,4,6},{5}} => {{1,2,3,4},{5,6}} => 14

{{1,3,4,5},{2,6}} => {{1,5},{2,3,4,6}} => {{1,3,6},{2,4,5}} => 11

{{1,3,4,5},{2},{6}} => {{1},{2,3,4,6},{5}} => {{1,3},{2,4,6},{5}} => 9

{{1,3,4,6},{2,5}} => {{1,3,4,6},{2,5}} => {{1,5,6},{2,3,4}} => 13

{{1,3,4},{2,5,6}} => {{1,2,5},{3,4,6}} => {{1,2,4,5},{3,6}} => 12

{{1,3,4},{2,5},{6}} => {{1},{2,5},{3,4,6}} => {{1,4},{2,6},{3,5}} => 7

{{1,3,4,6},{2},{5}} => {{1,3,4,6},{2},{5}} => {{1},{2,3,4},{5,6}} => 12

{{1,3,4},{2,6},{5}} => {{1,5},{2},{3,4,6}} => {{1,4,5},{2,6},{3}} => 8

{{1,3,4},{2},{5,6}} => {{1,2},{3,4,6},{5}} => {{1,2,4,6},{3},{5}} => 10

{{1,3,4},{2},{5},{6}} => {{1},{2},{3,4,6},{5}} => {{1,4},{2},{3,6},{5}} => 5

{{1,3,5,6},{2,4}} => {{1,2,4,6},{3,5}} => {{1,2,5,6},{3,4}} => 13

{{1,3,5},{2,4,6}} => {{1,3,5},{2,4,6}} => {{1,4,5},{2,3,6}} => 12

{{1,3,5},{2,4},{6}} => {{1},{2,4,6},{3,5}} => {{1,5},{2,4,6},{3}} => 8

{{1,3,6},{2,4,5}} => {{1,4,6},{2,3,5}} => {{1,3,4},{2,5,6}} => 12

{{1,3},{2,4,5,6}} => {{1,2,3,5},{4,6}} => {{1,2,3,6},{4,5}} => 13

{{1,3},{2,4,5},{6}} => {{1},{2,3,5},{4,6}} => {{1,3,5},{2,6},{4}} => 8

{{1,3,6},{2,4},{5}} => {{1,4,6},{2},{3,5}} => {{1,5,6},{2},{3,4}} => 10

{{1,3},{2,4,6},{5}} => {{1,3,5},{2},{4,6}} => {{1,6},{2,3},{4,5}} => 10

{{1,3},{2,4},{5,6}} => {{1,2},{3,5},{4,6}} => {{1,2,6},{3,5},{4}} => 9

{{1,3},{2,4},{5},{6}} => {{1},{2},{3,5},{4,6}} => {{1,6},{2,5},{3},{4}} => 4

{{1,3,5,6},{2},{4}} => {{1,2,4,6},{3},{5}} => {{1,2},{3,4},{5,6}} => 12

{{1,3,5},{2,6},{4}} => {{1,5},{2,4,6},{3}} => {{1},{2,4,5},{3,6}} => 10

{{1,3,5},{2},{4,6}} => {{1,3},{2,4,6},{5}} => {{1,4,6},{2,3},{5}} => 10

{{1,3,5},{2},{4},{6}} => {{1},{2,4,6},{3},{5}} => {{1},{2,4,6},{3},{5}} => 7

{{1,3,6},{2,5},{4}} => {{1,4,6},{2,5},{3}} => {{1},{2,5,6},{3,4}} => 11

{{1,3},{2,5,6},{4}} => {{1,2,5},{3},{4,6}} => {{1,2,6},{3},{4,5}} => 10

{{1,3},{2,5},{4,6}} => {{1,3},{2,5},{4,6}} => {{1,6},{2,3,5},{4}} => 9

{{1,3},{2,5},{4},{6}} => {{1},{2,5},{3},{4,6}} => {{1,6},{2},{3,5},{4}} => 5

{{1,3,6},{2},{4,5}} => {{1,4,6},{2,3},{5}} => {{1,3,4},{2},{5,6}} => 11

{{1,3},{2,6},{4,5}} => {{1,5},{2,3},{4,6}} => {{1,3},{2,6},{4,5}} => 9

{{1,3},{2},{4,5,6}} => {{1,2,3},{4,6},{5}} => {{1,2,3},{4,6},{5}} => 11

{{1,3},{2},{4,5},{6}} => {{1},{2,3},{4,6},{5}} => {{1,3,6},{2},{4},{5}} => 6

{{1,3,6},{2},{4},{5}} => {{1,4,6},{2},{3},{5}} => {{1},{2},{3,4},{5,6}} => 9

{{1,3},{2,6},{4},{5}} => {{1,5},{2},{3},{4,6}} => {{1,6},{2},{3},{4,5}} => 6

{{1,3},{2},{4,6},{5}} => {{1,3},{2},{4,6},{5}} => {{1},{2,3,6},{4},{5}} => 7

{{1,3},{2},{4},{5,6}} => {{1,2},{3},{4,6},{5}} => {{1,2},{3,6},{4},{5}} => 7

{{1,3},{2},{4},{5},{6}} => {{1},{2},{3},{4,6},{5}} => {{1},{2,6},{3},{4},{5}} => 2

{{1,4,5,6},{2,3}} => {{1,2,3,6},{4,5}} => {{1,2,3,5,6},{4}} => 13

{{1,4,5},{2,3,6}} => {{1,4,5},{2,3,6}} => {{1,3,4,5},{2,6}} => 12

{{1,4,5},{2,3},{6}} => {{1},{2,3,6},{4,5}} => {{1,3},{2,5},{4,6}} => 8

{{1,4,6},{2,3,5}} => {{1,3,6},{2,4,5}} => {{1,4},{2,3,5,6}} => 12

{{1,4},{2,3,5,6}} => {{1,2,4,5},{3,6}} => {{1,2,6},{3,4,5}} => 13

{{1,4},{2,3,5},{6}} => {{1},{2,4,5},{3,6}} => {{1,6},{2,4},{3,5}} => 8

{{1,4,6},{2,3},{5}} => {{1,3,6},{2},{4,5}} => {{1,5,6},{2,3},{4}} => 10

{{1,4},{2,3,6},{5}} => {{1,4,5},{2},{3,6}} => {{1,6},{2},{3,4,5}} => 10

{{1,4},{2,3},{5,6}} => {{1,2},{3,6},{4,5}} => {{1,2,5},{3},{4,6}} => 9

{{1,4},{2,3},{5},{6}} => {{1},{2},{3,6},{4,5}} => {{1,5},{2},{3,6},{4}} => 4

{{1,5,6},{2,3,4}} => {{1,2,6},{3,4,5}} => {{1,2,4},{3,5,6}} => 12

{{1,5},{2,3,4,6}} => {{1,3,4,5},{2,6}} => {{1,6},{2,3,4,5}} => 13

{{1,5},{2,3,4},{6}} => {{1},{2,6},{3,4,5}} => {{1,4,6},{2,5},{3}} => 7

{{1,6},{2,3,4,5}} => {{1,6},{2,3,4,5}} => {{1,3,5,6},{2,4}} => 11

{{1},{2,3,4,5,6}} => {{1,2,3,4,5},{6}} => {{1,2,3,4,5},{6}} => 14

{{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}} => {{1,3,5},{2,4},{6}} => 9

{{1,6},{2,3,4},{5}} => {{1,6},{2},{3,4,5}} => {{1,4},{2,5,6},{3}} => 8

{{1},{2,3,4,6},{5}} => {{1,3,4,5},{2},{6}} => {{1},{2,3,4,5},{6}} => 12

{{1},{2,3,4},{5,6}} => {{1,2},{3,4,5},{6}} => {{1,2,4},{3,5},{6}} => 10

{{1},{2,3,4},{5},{6}} => {{1},{2},{3,4,5},{6}} => {{1,4},{2,5},{3},{6}} => 5

{{1,5,6},{2,3},{4}} => {{1,2,6},{3},{4,5}} => {{1,2,5,6},{3},{4}} => 10

{{1,5},{2,3,6},{4}} => {{1,4,5},{2,6},{3}} => {{1},{2,6},{3,4,5}} => 11

{{1,5},{2,3},{4,6}} => {{1,3},{2,6},{4,5}} => {{1,5},{2,3},{4,6}} => 9

{{1,5},{2,3},{4},{6}} => {{1},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6}} => 5

{{1,6},{2,3,5},{4}} => {{1,6},{2,4,5},{3}} => {{1},{2,4},{3,5,6}} => 10

{{1},{2,3,5,6},{4}} => {{1,2,4,5},{3},{6}} => {{1,2},{3,4,5},{6}} => 12

{{1},{2,3,5},{4,6}} => {{1,3},{2,4,5},{6}} => {{1,4},{2,3,5},{6}} => 10

{{1},{2,3,5},{4},{6}} => {{1},{2,4,5},{3},{6}} => {{1},{2,4},{3,5},{6}} => 7

{{1,6},{2,3},{4,5}} => {{1,6},{2,3},{4,5}} => {{1,3},{2,5,6},{4}} => 9

{{1},{2,3,6},{4,5}} => {{1,4,5},{2,3},{6}} => {{1,3,4,5},{2},{6}} => 11

{{1},{2,3},{4,5,6}} => {{1,2,3},{4,5},{6}} => {{1,2,3,5},{4},{6}} => 11

{{1},{2,3},{4,5},{6}} => {{1},{2,3},{4,5},{6}} => {{1,3},{2,5},{4},{6}} => 6

{{1,6},{2,3},{4},{5}} => {{1,6},{2},{3},{4,5}} => {{1,5,6},{2},{3},{4}} => 6

{{1},{2,3,6},{4},{5}} => {{1,4,5},{2},{3},{6}} => {{1},{2},{3,4,5},{6}} => 9

{{1},{2,3},{4,6},{5}} => {{1,3},{2},{4,5},{6}} => {{1,5},{2,3},{4},{6}} => 7

{{1},{2,3},{4},{5,6}} => {{1,2},{3},{4,5},{6}} => {{1,2,5},{3},{4},{6}} => 7

{{1},{2,3},{4},{5},{6}} => {{1},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4},{6}} => 2

{{1,4,5,6},{2},{3}} => {{1,2,3,6},{4},{5}} => {{1,2,3},{4},{5,6}} => 12

{{1,4,5},{2,6},{3}} => {{1,5},{2,3,6},{4}} => {{1,3,6},{2},{4,5}} => 10

{{1,4,5},{2},{3,6}} => {{1,4},{2,3,6},{5}} => {{1,3,4,6},{2},{5}} => 10

{{1,4,5},{2},{3},{6}} => {{1},{2,3,6},{4},{5}} => {{1,3},{2},{4,6},{5}} => 7

{{1,4,6},{2,5},{3}} => {{1,3,6},{2,5},{4}} => {{1},{2,3,5,6},{4}} => 11

{{1,4},{2,5,6},{3}} => {{1,2,5},{3,6},{4}} => {{1,2},{3,6},{4,5}} => 11

{{1,4},{2,5},{3,6}} => {{1,4},{2,5},{3,6}} => {{1,6},{2,5},{3,4}} => 9

{{1,4},{2,5},{3},{6}} => {{1},{2,5},{3,6},{4}} => {{1},{2,6},{3,5},{4}} => 6

{{1,4,6},{2},{3,5}} => {{1,3,6},{2,4},{5}} => {{1,4},{2,3},{5,6}} => 11

{{1,4},{2,6},{3,5}} => {{1,5},{2,4},{3,6}} => {{1,6},{2,4,5},{3}} => 9

{{1,4},{2},{3,5,6}} => {{1,2,4},{3,6},{5}} => {{1,2},{3,4,6},{5}} => 11

{{1,4},{2},{3,5},{6}} => {{1},{2,4},{3,6},{5}} => {{1},{2,4},{3,6},{5}} => 6

{{1,4,6},{2},{3},{5}} => {{1,3,6},{2},{4},{5}} => {{1},{2,3},{4},{5,6}} => 9

{{1,4},{2,6},{3},{5}} => {{1,5},{2},{3,6},{4}} => {{1},{2,6},{3},{4,5}} => 7

{{1,4},{2},{3,6},{5}} => {{1,4},{2},{3,6},{5}} => {{1},{2,6},{3,4},{5}} => 7

{{1,4},{2},{3},{5,6}} => {{1,2},{3,6},{4},{5}} => {{1,2},{3},{4,6},{5}} => 8

{{1,4},{2},{3},{5},{6}} => {{1},{2},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5}} => 3

{{1,5,6},{2,4},{3}} => {{1,2,6},{3,5},{4}} => {{1,2},{3,5,6},{4}} => 11

{{1,5},{2,4,6},{3}} => {{1,3,5},{2,6},{4}} => {{1},{2,3,6},{4,5}} => 11

{{1,5},{2,4},{3,6}} => {{1,4},{2,6},{3,5}} => {{1,5},{2},{3,4,6}} => 9

{{1,5},{2,4},{3},{6}} => {{1},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6}} => 6

{{1,6},{2,4,5},{3}} => {{1,6},{2,3,5},{4}} => {{1,3,5,6},{2},{4}} => 10

{{1},{2,4,5,6},{3}} => {{1,2,3,5},{4},{6}} => {{1,2,3},{4,5},{6}} => 12

{{1},{2,4,5},{3,6}} => {{1,4},{2,3,5},{6}} => {{1,3,4},{2,5},{6}} => 10

{{1},{2,4,5},{3},{6}} => {{1},{2,3,5},{4},{6}} => {{1,3,5},{2},{4},{6}} => 7

{{1,6},{2,4},{3,5}} => {{1,6},{2,4},{3,5}} => {{1,5,6},{2,4},{3}} => 9

{{1},{2,4,6},{3,5}} => {{1,3,5},{2,4},{6}} => {{1,4,5},{2,3},{6}} => 11

{{1},{2,4},{3,5,6}} => {{1,2,4},{3,5},{6}} => {{1,2,5},{3,4},{6}} => 11

{{1},{2,4},{3,5},{6}} => {{1},{2,4},{3,5},{6}} => {{1,5},{2,4},{3},{6}} => 6

{{1,6},{2,4},{3},{5}} => {{1,6},{2},{3,5},{4}} => {{1},{2,5,6},{3},{4}} => 7

{{1},{2,4,6},{3},{5}} => {{1,3,5},{2},{4},{6}} => {{1},{2,3},{4,5},{6}} => 9

{{1},{2,4},{3,6},{5}} => {{1,4},{2},{3,5},{6}} => {{1,5},{2},{3,4},{6}} => 7

{{1},{2,4},{3},{5,6}} => {{1,2},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6}} => 8

{{1},{2,4},{3},{5},{6}} => {{1},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6}} => 3

{{1,5,6},{2},{3,4}} => {{1,2,6},{3,4},{5}} => {{1,2,4},{3},{5,6}} => 11

{{1,5},{2,6},{3,4}} => {{1,5},{2,6},{3,4}} => {{1,4,5},{2},{3,6}} => 9

{{1,5},{2},{3,4,6}} => {{1,3,4},{2,6},{5}} => {{1},{2,3,4,6},{5}} => 11

{{1,5},{2},{3,4},{6}} => {{1},{2,6},{3,4},{5}} => {{1,4,6},{2},{3},{5}} => 6

{{1,6},{2,5},{3,4}} => {{1,6},{2,5},{3,4}} => {{1,4},{2},{3,5,6}} => 9

{{1},{2,5,6},{3,4}} => {{1,2,5},{3,4},{6}} => {{1,2,4,5},{3},{6}} => 11

{{1},{2,5},{3,4,6}} => {{1,3,4},{2,5},{6}} => {{1,5},{2,3,4},{6}} => 11

{{1},{2,5},{3,4},{6}} => {{1},{2,5},{3,4},{6}} => {{1,4},{2},{3,5},{6}} => 6

{{1,6},{2},{3,4,5}} => {{1,6},{2,3,4},{5}} => {{1,3},{2,4},{5,6}} => 10

{{1},{2,6},{3,4,5}} => {{1,5},{2,3,4},{6}} => {{1,3},{2,4,5},{6}} => 10

{{1},{2},{3,4,5,6}} => {{1,2,3,4},{5},{6}} => {{1,2,3,4},{5},{6}} => 12

{{1},{2},{3,4,5},{6}} => {{1},{2,3,4},{5},{6}} => {{1,3},{2,4},{5},{6}} => 7

{{1,6},{2},{3,4},{5}} => {{1,6},{2},{3,4},{5}} => {{1,4},{2},{3},{5,6}} => 7

{{1},{2,6},{3,4},{5}} => {{1,5},{2},{3,4},{6}} => {{1,4,5},{2},{3},{6}} => 7

{{1},{2},{3,4,6},{5}} => {{1,3,4},{2},{5},{6}} => {{1},{2,3,4},{5},{6}} => 9

{{1},{2},{3,4},{5,6}} => {{1,2},{3,4},{5},{6}} => {{1,2,4},{3},{5},{6}} => 8

{{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}} => {{1,4},{2},{3},{5},{6}} => 3

{{1,5,6},{2},{3},{4}} => {{1,2,6},{3},{4},{5}} => {{1,2},{3},{4},{5,6}} => 9

{{1,5},{2,6},{3},{4}} => {{1,5},{2,6},{3},{4}} => {{1},{2},{3,6},{4,5}} => 8

{{1,5},{2},{3,6},{4}} => {{1,4},{2,6},{3},{5}} => {{1},{2},{3,4,6},{5}} => 8

{{1,5},{2},{3},{4,6}} => {{1,3},{2,6},{4},{5}} => {{1},{2,3},{4,6},{5}} => 8

{{1,5},{2},{3},{4},{6}} => {{1},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6},{5}} => 4

{{1,6},{2,5},{3},{4}} => {{1,6},{2,5},{3},{4}} => {{1},{2},{3,5,6},{4}} => 8

{{1},{2,5,6},{3},{4}} => {{1,2,5},{3},{4},{6}} => {{1,2},{3},{4,5},{6}} => 9

{{1},{2,5},{3,6},{4}} => {{1,4},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6}} => 8

{{1},{2,5},{3},{4,6}} => {{1,3},{2,5},{4},{6}} => {{1},{2,3,5},{4},{6}} => 8

{{1},{2,5},{3},{4},{6}} => {{1},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6}} => 4

{{1,6},{2},{3,5},{4}} => {{1,6},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6}} => 8

{{1},{2,6},{3,5},{4}} => {{1,5},{2,4},{3},{6}} => {{1},{2,4,5},{3},{6}} => 8

{{1},{2},{3,5,6},{4}} => {{1,2,4},{3},{5},{6}} => {{1,2},{3,4},{5},{6}} => 9

{{1},{2},{3,5},{4,6}} => {{1,3},{2,4},{5},{6}} => {{1,4},{2,3},{5},{6}} => 8

{{1},{2},{3,5},{4},{6}} => {{1},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6}} => 4

{{1,6},{2},{3},{4,5}} => {{1,6},{2,3},{4},{5}} => {{1,3},{2},{4},{5,6}} => 8

{{1},{2,6},{3},{4,5}} => {{1,5},{2,3},{4},{6}} => {{1,3},{2},{4,5},{6}} => 8

{{1},{2},{3,6},{4,5}} => {{1,4},{2,3},{5},{6}} => {{1,3,4},{2},{5},{6}} => 8

{{1},{2},{3},{4,5,6}} => {{1,2,3},{4},{5},{6}} => {{1,2,3},{4},{5},{6}} => 9

{{1},{2},{3},{4,5},{6}} => {{1},{2,3},{4},{5},{6}} => {{1,3},{2},{4},{5},{6}} => 4

{{1,6},{2},{3},{4},{5}} => {{1,6},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6}} => 5

{{1},{2,6},{3},{4},{5}} => {{1,5},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6}} => 5

{{1},{2},{3,6},{4},{5}} => {{1,4},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6}} => 5

{{1},{2},{3},{4,6},{5}} => {{1,3},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6}} => 5

{{1},{2},{3},{4},{5,6}} => {{1,2},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6}} => 5

{{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}} => 0

{{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}} => 21

{{1,2,3,4,5,6},{7}} => {{1},{2,3,4,5,6,7}} => {{1,3,5,7},{2,4,6}} => 15

{{1,2,3,4,5,7},{6}} => {{1,3,4,5,6,7},{2}} => {{1},{2,3,4,5,6,7}} => 20

{{1,2,3,4,5},{6,7}} => {{1,2},{3,4,5,6,7}} => {{1,2,4,6},{3,5,7}} => 16

{{1,2,3,4,5},{6},{7}} => {{1},{2},{3,4,5,6,7}} => {{1,4,7},{2,5},{3,6}} => 10

{{1,2,3,4,6,7},{5}} => {{1,2,4,5,6,7},{3}} => {{1,2},{3,4,5,6,7}} => 20

{{1,2,3,4,6},{5,7}} => {{1,3},{2,4,5,6,7}} => {{1,4,6},{2,3,5,7}} => 16

{{1,2,3,4,6},{5},{7}} => {{1},{2,4,5,6,7},{3}} => {{1},{2,4,6},{3,5,7}} => 14

{{1,2,3,4,7},{5,6}} => {{1,4,5,6,7},{2,3}} => {{1,3,4,5,6,7},{2}} => 19

{{1,2,3,4},{5,6,7}} => {{1,2,3},{4,5,6,7}} => {{1,2,3,5,7},{4,6}} => 17

{{1,2,3,4},{5,6},{7}} => {{1},{2,3},{4,5,6,7}} => {{1,3,6},{2,5},{4,7}} => 11

{{1,2,3,4,7},{5},{6}} => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3,4,5,6,7}} => 18

{{1,2,3,4},{5,7},{6}} => {{1,3},{2},{4,5,6,7}} => {{1,5},{2,3,6},{4,7}} => 12

{{1,2,3,4},{5},{6,7}} => {{1,2},{3},{4,5,6,7}} => {{1,2,5},{3,6},{4,7}} => 12

{{1,2,3,4},{5},{6},{7}} => {{1},{2},{3},{4,5,6,7}} => {{1,5},{2,6},{3,7},{4}} => 6

{{1,2,3,5,6,7},{4}} => {{1,2,3,5,6,7},{4}} => {{1,2,3},{4,5,6,7}} => 20

{{1,2,3,5,6},{4,7}} => {{1,4},{2,3,5,6,7}} => {{1,3,4,6},{2,5,7}} => 16

{{1,2,3,5,6},{4},{7}} => {{1},{2,3,5,6,7},{4}} => {{1,3,5,7},{2},{4,6}} => 14

{{1,2,3,5,7},{4,6}} => {{1,3,5,6,7},{2,4}} => {{1,4,5,6,7},{2,3}} => 19

{{1,2,3,5},{4,6,7}} => {{1,2,4},{3,5,6,7}} => {{1,2,5,7},{3,4,6}} => 17

{{1,2,3,5},{4,6},{7}} => {{1},{2,4},{3,5,6,7}} => {{1,5},{2,4,7},{3,6}} => 11

{{1,2,3,5,7},{4},{6}} => {{1,3,5,6,7},{2},{4}} => {{1},{2,3},{4,5,6,7}} => 18

{{1,2,3,5},{4,7},{6}} => {{1,4},{2},{3,5,6,7}} => {{1,5},{2,6},{3,4,7}} => 12

{{1,2,3,5},{4},{6,7}} => {{1,2},{3,5,6,7},{4}} => {{1,2},{3,5,7},{4,6}} => 15

{{1,2,3,5},{4},{6},{7}} => {{1},{2},{3,5,6,7},{4}} => {{1},{2,5},{3,6},{4,7}} => 9

{{1,2,3,6,7},{4,5}} => {{1,2,5,6,7},{3,4}} => {{1,2,4,5,6,7},{3}} => 19

{{1,2,3,6},{4,5,7}} => {{1,3,4},{2,5,6,7}} => {{1,5,7},{2,3,4,6}} => 17

{{1,2,3,6},{4,5},{7}} => {{1},{2,5,6,7},{3,4}} => {{1,4,6},{2},{3,5,7}} => 13

{{1,2,3,7},{4,5,6}} => {{1,5,6,7},{2,3,4}} => {{1,3},{2,4,5,6,7}} => 18

{{1,2,3},{4,5,6,7}} => {{1,2,3,4},{5,6,7}} => {{1,2,3,4,6},{5,7}} => 18

{{1,2,3},{4,5,6},{7}} => {{1},{2,3,4},{5,6,7}} => {{1,3,6},{2,4,7},{5}} => 12

{{1,2,3,7},{4,5},{6}} => {{1,5,6,7},{2},{3,4}} => {{1,4,5,6,7},{2},{3}} => 16

{{1,2,3},{4,5,7},{6}} => {{1,3,4},{2},{5,6,7}} => {{1,6},{2,3,4,7},{5}} => 14

{{1,2,3},{4,5},{6,7}} => {{1,2},{3,4},{5,6,7}} => {{1,2,4,7},{3,6},{5}} => 13

{{1,2,3},{4,5},{6},{7}} => {{1},{2},{3,4},{5,6,7}} => {{1,4},{2,6},{3,7},{5}} => 7

{{1,2,3,6,7},{4},{5}} => {{1,2,5,6,7},{3},{4}} => {{1,2},{3},{4,5,6,7}} => 18

{{1,2,3,6},{4,7},{5}} => {{1,4},{2,5,6,7},{3}} => {{1},{2,5,7},{3,4,6}} => 15

{{1,2,3,6},{4},{5,7}} => {{1,3},{2,5,6,7},{4}} => {{1},{2,3,5,7},{4,6}} => 15

{{1,2,3,6},{4},{5},{7}} => {{1},{2,5,6,7},{3},{4}} => {{1},{2},{3,5,7},{4,6}} => 12

{{1,2,3,7},{4,6},{5}} => {{1,5,6,7},{2,4},{3}} => {{1},{2,4,5,6,7},{3}} => 17

{{1,2,3},{4,6,7},{5}} => {{1,2,4},{3},{5,6,7}} => {{1,2,6},{3,4,7},{5}} => 14

{{1,2,3},{4,6},{5,7}} => {{1,3},{2,4},{5,6,7}} => {{1,4,7},{2,3,6},{5}} => 13

{{1,2,3},{4,6},{5},{7}} => {{1},{2,4},{3},{5,6,7}} => {{1,6},{2,4},{3,7},{5}} => 8

{{1,2,3,7},{4},{5,6}} => {{1,5,6,7},{2,3},{4}} => {{1,3},{2},{4,5,6,7}} => 17

{{1,2,3},{4,7},{5,6}} => {{1,4},{2,3},{5,6,7}} => {{1,3,4,7},{2,6},{5}} => 13

{{1,2,3},{4},{5,6,7}} => {{1,2,3},{4},{5,6,7}} => {{1,2,3,6},{4,7},{5}} => 14

{{1,2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6,7}} => {{1,3,7},{2,6},{4},{5}} => 8

{{1,2,3,7},{4},{5},{6}} => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => 15

{{1,2,3},{4,7},{5},{6}} => {{1,4},{2},{3},{5,6,7}} => {{1,6},{2,7},{3,4},{5}} => 9

{{1,2,3},{4},{5,7},{6}} => {{1,3},{2},{4},{5,6,7}} => {{1,6},{2,3,7},{4},{5}} => 9

{{1,2,3},{4},{5},{6,7}} => {{1,2},{3},{4},{5,6,7}} => {{1,2,6},{3,7},{4},{5}} => 9

{{1,2,3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5,6,7}} => {{1,6},{2,7},{3},{4},{5}} => 3

{{1,2,4,5,6,7},{3}} => {{1,2,3,4,6,7},{5}} => {{1,2,3,4},{5,6,7}} => 20

{{1,2,4,5,6},{3,7}} => {{1,5},{2,3,4,6,7}} => {{1,3,6},{2,4,5,7}} => 16

{{1,2,4,5,6},{3},{7}} => {{1},{2,3,4,6,7},{5}} => {{1,3},{2,4,6},{5,7}} => 14

{{1,2,4,5,7},{3,6}} => {{1,3,4,6,7},{2,5}} => {{1,5,6,7},{2,3,4}} => 19

{{1,2,4,5},{3,6,7}} => {{1,2,5},{3,4,6,7}} => {{1,2,4,5,7},{3,6}} => 17

{{1,2,4,5},{3,6},{7}} => {{1},{2,5},{3,4,6,7}} => {{1,4,7},{2,6},{3,5}} => 11

{{1,2,4,5,7},{3},{6}} => {{1,3,4,6,7},{2},{5}} => {{1},{2,3,4},{5,6,7}} => 18

{{1,2,4,5},{3,7},{6}} => {{1,5},{2},{3,4,6,7}} => {{1,4,5},{2,6},{3,7}} => 12

{{1,2,4,5},{3},{6,7}} => {{1,2},{3,4,6,7},{5}} => {{1,2,4,6},{3},{5,7}} => 15

{{1,2,4,5},{3},{6},{7}} => {{1},{2},{3,4,6,7},{5}} => {{1,4,7},{2},{3,6},{5}} => 9

{{1,2,4,6,7},{3,5}} => {{1,2,4,6,7},{3,5}} => {{1,2,5,6,7},{3,4}} => 19

{{1,2,4,6},{3,5,7}} => {{1,3,5},{2,4,6,7}} => {{1,4,5,7},{2,3,6}} => 17

{{1,2,4,6},{3,5},{7}} => {{1},{2,4,6,7},{3,5}} => {{1,5,7},{2,4,6},{3}} => 13

{{1,2,4,7},{3,5,6}} => {{1,4,6,7},{2,3,5}} => {{1,3,4},{2,5,6,7}} => 18

{{1,2,4},{3,5,6,7}} => {{1,2,3,5},{4,6,7}} => {{1,2,3,6},{4,5,7}} => 18

{{1,2,4},{3,5,6},{7}} => {{1},{2,3,5},{4,6,7}} => {{1,3,5},{2,6},{4,7}} => 12

{{1,2,4,7},{3,5},{6}} => {{1,4,6,7},{2},{3,5}} => {{1,5,6,7},{2},{3,4}} => 16

{{1,2,4},{3,5,7},{6}} => {{1,3,5},{2},{4,6,7}} => {{1,6},{2,3,7},{4,5}} => 14

{{1,2,4},{3,5},{6,7}} => {{1,2},{3,5},{4,6,7}} => {{1,2,6},{3,5},{4,7}} => 13

{{1,2,4},{3,5},{6},{7}} => {{1},{2},{3,5},{4,6,7}} => {{1,6},{2,5},{3,7},{4}} => 7

{{1,2,4,6,7},{3},{5}} => {{1,2,4,6,7},{3},{5}} => {{1,2},{3,4},{5,6,7}} => 18

{{1,2,4,6},{3,7},{5}} => {{1,5},{2,4,6,7},{3}} => {{1},{2,4,5,7},{3,6}} => 15

{{1,2,4,6},{3},{5,7}} => {{1,3},{2,4,6,7},{5}} => {{1,4,6},{2,3},{5,7}} => 15

{{1,2,4,6},{3},{5},{7}} => {{1},{2,4,6,7},{3},{5}} => {{1},{2,4,6},{3},{5,7}} => 12

{{1,2,4,7},{3,6},{5}} => {{1,4,6,7},{2,5},{3}} => {{1},{2,5,6,7},{3,4}} => 17

{{1,2,4},{3,6,7},{5}} => {{1,2,5},{3},{4,6,7}} => {{1,2,6},{3,7},{4,5}} => 14

{{1,2,4},{3,6},{5,7}} => {{1,3},{2,5},{4,6,7}} => {{1,6},{2,3,5},{4,7}} => 13

{{1,2,4},{3,6},{5},{7}} => {{1},{2,5},{3},{4,6,7}} => {{1,6},{2,7},{3,5},{4}} => 8

{{1,2,4,7},{3},{5,6}} => {{1,4,6,7},{2,3},{5}} => {{1,3,4},{2},{5,6,7}} => 17

{{1,2,4},{3,7},{5,6}} => {{1,5},{2,3},{4,6,7}} => {{1,3,7},{2,6},{4,5}} => 13

{{1,2,4},{3},{5,6,7}} => {{1,2,3},{4,6,7},{5}} => {{1,2,3},{4,6},{5,7}} => 16

{{1,2,4},{3},{5,6},{7}} => {{1},{2,3},{4,6,7},{5}} => {{1,3,6},{2},{4,7},{5}} => 10

{{1,2,4,7},{3},{5},{6}} => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 15

{{1,2,4},{3,7},{5},{6}} => {{1,5},{2},{3},{4,6,7}} => {{1,6},{2,7},{3},{4,5}} => 9

{{1,2,4},{3},{5,7},{6}} => {{1,3},{2},{4,6,7},{5}} => {{1},{2,3,6},{4,7},{5}} => 11

{{1,2,4},{3},{5},{6,7}} => {{1,2},{3},{4,6,7},{5}} => {{1,2},{3,6},{4,7},{5}} => 11

{{1,2,4},{3},{5},{6},{7}} => {{1},{2},{3},{4,6,7},{5}} => {{1},{2,6},{3,7},{4},{5}} => 5

{{1,2,5,6,7},{3,4}} => {{1,2,3,6,7},{4,5}} => {{1,2,3,5,6,7},{4}} => 19

{{1,2,5,6},{3,4,7}} => {{1,4,5},{2,3,6,7}} => {{1,3,4,5,7},{2,6}} => 17

{{1,2,5,6},{3,4},{7}} => {{1},{2,3,6,7},{4,5}} => {{1,3},{2,5,7},{4,6}} => 13

{{1,2,5,7},{3,4,6}} => {{1,3,6,7},{2,4,5}} => {{1,4},{2,3,5,6,7}} => 18

{{1,2,5},{3,4,6,7}} => {{1,2,4,5},{3,6,7}} => {{1,2,6},{3,4,5,7}} => 18

{{1,2,5},{3,4,6},{7}} => {{1},{2,4,5},{3,6,7}} => {{1,6},{2,4,7},{3,5}} => 12

{{1,2,5,7},{3,4},{6}} => {{1,3,6,7},{2},{4,5}} => {{1,5,6,7},{2,3},{4}} => 16

{{1,2,5},{3,4,7},{6}} => {{1,4,5},{2},{3,6,7}} => {{1,6},{2,7},{3,4,5}} => 14

{{1,2,5},{3,4},{6,7}} => {{1,2},{3,6,7},{4,5}} => {{1,2,5,7},{3},{4,6}} => 14

{{1,2,5},{3,4},{6},{7}} => {{1},{2},{3,6,7},{4,5}} => {{1,5},{2},{3,6},{4,7}} => 8

{{1,2,6,7},{3,4,5}} => {{1,2,6,7},{3,4,5}} => {{1,2,4},{3,5,6,7}} => 18

{{1,2,6},{3,4,5,7}} => {{1,3,4,5},{2,6,7}} => {{1,6},{2,3,4,5,7}} => 18

{{1,2,6},{3,4,5},{7}} => {{1},{2,6,7},{3,4,5}} => {{1,4,6},{2,5,7},{3}} => 12

{{1,2,7},{3,4,5,6}} => {{1,6,7},{2,3,4,5}} => {{1,3,5,6,7},{2,4}} => 17

{{1,2},{3,4,5,6,7}} => {{1,2,3,4,5},{6,7}} => {{1,2,3,4,5,7},{6}} => 19

{{1,2},{3,4,5,6},{7}} => {{1},{2,3,4,5},{6,7}} => {{1,3,5},{2,4,7},{6}} => 13

{{1,2,7},{3,4,5},{6}} => {{1,6,7},{2},{3,4,5}} => {{1,4},{2,5,6,7},{3}} => 14

{{1,2},{3,4,5,7},{6}} => {{1,3,4,5},{2},{6,7}} => {{1,7},{2,3,4,5},{6}} => 16

{{1,2},{3,4,5},{6,7}} => {{1,2},{3,4,5},{6,7}} => {{1,2,4,7},{3,5},{6}} => 14

{{1,2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6,7}} => {{1,4},{2,5},{3,7},{6}} => 8

{{1,2,6,7},{3,4},{5}} => {{1,2,6,7},{3},{4,5}} => {{1,2,5,6,7},{3},{4}} => 16

{{1,2,6},{3,4,7},{5}} => {{1,4,5},{2,6,7},{3}} => {{1},{2,6},{3,4,5,7}} => 16

{{1,2,6},{3,4},{5,7}} => {{1,3},{2,6,7},{4,5}} => {{1,5,7},{2,3},{4,6}} => 14

{{1,2,6},{3,4},{5},{7}} => {{1},{2,6,7},{3},{4,5}} => {{1,5,7},{2},{3},{4,6}} => 10

{{1,2,7},{3,4,6},{5}} => {{1,6,7},{2,4,5},{3}} => {{1},{2,4},{3,5,6,7}} => 16

{{1,2},{3,4,6,7},{5}} => {{1,2,4,5},{3},{6,7}} => {{1,2,7},{3,4,5},{6}} => 16

{{1,2},{3,4,6},{5,7}} => {{1,3},{2,4,5},{6,7}} => {{1,4,7},{2,3,5},{6}} => 14

{{1,2},{3,4,6},{5},{7}} => {{1},{2,4,5},{3},{6,7}} => {{1,7},{2,4},{3,5},{6}} => 10

{{1,2,7},{3,4},{5,6}} => {{1,6,7},{2,3},{4,5}} => {{1,3},{2,5,6,7},{4}} => 15

{{1,2},{3,4,7},{5,6}} => {{1,4,5},{2,3},{6,7}} => {{1,3,4,5},{2,7},{6}} => 15

{{1,2},{3,4},{5,6,7}} => {{1,2,3},{4,5},{6,7}} => {{1,2,3,5},{4,7},{6}} => 15

{{1,2},{3,4},{5,6},{7}} => {{1},{2,3},{4,5},{6,7}} => {{1,3,7},{2,5},{4},{6}} => 9

{{1,2,7},{3,4},{5},{6}} => {{1,6,7},{2},{3},{4,5}} => {{1,5,6,7},{2},{3},{4}} => 12

{{1,2},{3,4,7},{5},{6}} => {{1,4,5},{2},{3},{6,7}} => {{1,7},{2},{3,4,5},{6}} => 12

{{1,2},{3,4},{5,7},{6}} => {{1,3},{2},{4,5},{6,7}} => {{1,5},{2,3,7},{4},{6}} => 10

{{1,2},{3,4},{5},{6,7}} => {{1,2},{3},{4,5},{6,7}} => {{1,2,5},{3,7},{4},{6}} => 10

{{1,2},{3,4},{5},{6},{7}} => {{1},{2},{3},{4,5},{6,7}} => {{1,5},{2,7},{3},{4},{6}} => 4

{{1,2,5,6,7},{3},{4}} => {{1,2,3,6,7},{4},{5}} => {{1,2,3},{4},{5,6,7}} => 18

{{1,2,5,6},{3,7},{4}} => {{1,5},{2,3,6,7},{4}} => {{1,3,6},{2},{4,5,7}} => 15

{{1,2,5,6},{3},{4,7}} => {{1,4},{2,3,6,7},{5}} => {{1,3,4,6},{2},{5,7}} => 15

{{1,2,5,6},{3},{4},{7}} => {{1},{2,3,6,7},{4},{5}} => {{1,3},{2},{4,6},{5,7}} => 12

{{1,2,5,7},{3,6},{4}} => {{1,3,6,7},{2,5},{4}} => {{1},{2,3,5,6,7},{4}} => 17

{{1,2,5},{3,6,7},{4}} => {{1,2,5},{3,6,7},{4}} => {{1,2},{3,6},{4,5,7}} => 16

{{1,2,5},{3,6},{4,7}} => {{1,4},{2,5},{3,6,7}} => {{1,6},{2,5},{3,4,7}} => 13

{{1,2,5},{3,6},{4},{7}} => {{1},{2,5},{3,6,7},{4}} => {{1},{2,6},{3,5},{4,7}} => 10

{{1,2,5,7},{3},{4,6}} => {{1,3,6,7},{2,4},{5}} => {{1,4},{2,3},{5,6,7}} => 17

{{1,2,5},{3,7},{4,6}} => {{1,5},{2,4},{3,6,7}} => {{1,6},{2,4,5},{3,7}} => 13

{{1,2,5},{3},{4,6,7}} => {{1,2,4},{3,6,7},{5}} => {{1,2},{3,4,6},{5,7}} => 16

{{1,2,5},{3},{4,6},{7}} => {{1},{2,4},{3,6,7},{5}} => {{1},{2,4,7},{3,6},{5}} => 10

{{1,2,5,7},{3},{4},{6}} => {{1,3,6,7},{2},{4},{5}} => {{1},{2,3},{4},{5,6,7}} => 15

{{1,2,5},{3,7},{4},{6}} => {{1,5},{2},{3,6,7},{4}} => {{1},{2,6},{3,7},{4,5}} => 11

{{1,2,5},{3},{4,7},{6}} => {{1,4},{2},{3,6,7},{5}} => {{1},{2,6},{3,4,7},{5}} => 11

{{1,2,5},{3},{4},{6,7}} => {{1,2},{3,6,7},{4},{5}} => {{1,2},{3},{4,6},{5,7}} => 13

{{1,2,5},{3},{4},{6},{7}} => {{1},{2},{3,6,7},{4},{5}} => {{1},{2},{3,6},{4,7},{5}} => 7

{{1,2,6,7},{3,5},{4}} => {{1,2,6,7},{3,5},{4}} => {{1,2},{3,5,6,7},{4}} => 17

{{1,2,6},{3,5,7},{4}} => {{1,3,5},{2,6,7},{4}} => {{1},{2,3,6},{4,5,7}} => 16

{{1,2,6},{3,5},{4,7}} => {{1,4},{2,6,7},{3,5}} => {{1,5,7},{2},{3,4,6}} => 14

{{1,2,6},{3,5},{4},{7}} => {{1},{2,6,7},{3,5},{4}} => {{1},{2,5,7},{3},{4,6}} => 11

{{1,2,7},{3,5,6},{4}} => {{1,6,7},{2,3,5},{4}} => {{1,3,5,6,7},{2},{4}} => 16

{{1,2},{3,5,6,7},{4}} => {{1,2,3,5},{4},{6,7}} => {{1,2,3,7},{4,5},{6}} => 16

{{1,2},{3,5,6},{4,7}} => {{1,4},{2,3,5},{6,7}} => {{1,3,4,7},{2,5},{6}} => 14

{{1,2},{3,5,6},{4},{7}} => {{1},{2,3,5},{4},{6,7}} => {{1,3,5},{2,7},{4},{6}} => 10

{{1,2,7},{3,5},{4,6}} => {{1,6,7},{2,4},{3,5}} => {{1,5,6,7},{2,4},{3}} => 15

{{1,2},{3,5,7},{4,6}} => {{1,3,5},{2,4},{6,7}} => {{1,4,5},{2,3,7},{6}} => 15

{{1,2},{3,5},{4,6,7}} => {{1,2,4},{3,5},{6,7}} => {{1,2,5},{3,4,7},{6}} => 15

{{1,2},{3,5},{4,6},{7}} => {{1},{2,4},{3,5},{6,7}} => {{1,5},{2,4},{3,7},{6}} => 9

{{1,2,7},{3,5},{4},{6}} => {{1,6,7},{2},{3,5},{4}} => {{1},{2,5,6,7},{3},{4}} => 13

{{1,2},{3,5,7},{4},{6}} => {{1,3,5},{2},{4},{6,7}} => {{1,7},{2,3},{4,5},{6}} => 12

{{1,2},{3,5},{4,7},{6}} => {{1,4},{2},{3,5},{6,7}} => {{1,5},{2,7},{3,4},{6}} => 10

{{1,2},{3,5},{4},{6,7}} => {{1,2},{3,5},{4},{6,7}} => {{1,2,7},{3,5},{4},{6}} => 11

{{1,2},{3,5},{4},{6},{7}} => {{1},{2},{3,5},{4},{6,7}} => {{1,7},{2,5},{3},{4},{6}} => 5

{{1,2,6,7},{3},{4,5}} => {{1,2,6,7},{3,4},{5}} => {{1,2,4},{3},{5,6,7}} => 17

{{1,2,6},{3,7},{4,5}} => {{1,5},{2,6,7},{3,4}} => {{1,4,5,7},{2},{3,6}} => 14

{{1,2,6},{3},{4,5,7}} => {{1,3,4},{2,6,7},{5}} => {{1},{2,3,4,6},{5,7}} => 16

{{1,2,6},{3},{4,5},{7}} => {{1},{2,6,7},{3,4},{5}} => {{1,4,6},{2},{3},{5,7}} => 11

{{1,2,7},{3,6},{4,5}} => {{1,6,7},{2,5},{3,4}} => {{1,4},{2},{3,5,6,7}} => 15

{{1,2},{3,6,7},{4,5}} => {{1,2,5},{3,4},{6,7}} => {{1,2,4,5},{3,7},{6}} => 15

{{1,2},{3,6},{4,5,7}} => {{1,3,4},{2,5},{6,7}} => {{1,5},{2,3,4,7},{6}} => 15

{{1,2},{3,6},{4,5},{7}} => {{1},{2,5},{3,4},{6,7}} => {{1,4},{2,7},{3,5},{6}} => 9

{{1,2,7},{3},{4,5,6}} => {{1,6,7},{2,3,4},{5}} => {{1,3},{2,4},{5,6,7}} => 16

{{1,2},{3,7},{4,5,6}} => {{1,5},{2,3,4},{6,7}} => {{1,3,7},{2,4,5},{6}} => 14

{{1,2},{3},{4,5,6,7}} => {{1,2,3,4},{5},{6,7}} => {{1,2,3,4,7},{5},{6}} => 16

{{1,2},{3},{4,5,6},{7}} => {{1},{2,3,4},{5},{6,7}} => {{1,3,7},{2,4},{5},{6}} => 10

{{1,2,7},{3},{4,5},{6}} => {{1,6,7},{2},{3,4},{5}} => {{1,4},{2},{3},{5,6,7}} => 13

{{1,2},{3,7},{4,5},{6}} => {{1,5},{2},{3,4},{6,7}} => {{1,4,5},{2,7},{3},{6}} => 10

{{1,2},{3},{4,5,7},{6}} => {{1,3,4},{2},{5},{6,7}} => {{1,7},{2,3,4},{5},{6}} => 12

{{1,2},{3},{4,5},{6,7}} => {{1,2},{3,4},{5},{6,7}} => {{1,2,4},{3,7},{5},{6}} => 11

{{1,2},{3},{4,5},{6},{7}} => {{1},{2},{3,4},{5},{6,7}} => {{1,4},{2,7},{3},{5},{6}} => 5

{{1,2,6,7},{3},{4},{5}} => {{1,2,6,7},{3},{4},{5}} => {{1,2},{3},{4},{5,6,7}} => 15

{{1,2,6},{3,7},{4},{5}} => {{1,5},{2,6,7},{3},{4}} => {{1},{2},{3,6},{4,5,7}} => 13

{{1,2,6},{3},{4,7},{5}} => {{1,4},{2,6,7},{3},{5}} => {{1},{2},{3,4,6},{5,7}} => 13

{{1,2,6},{3},{4},{5,7}} => {{1,3},{2,6,7},{4},{5}} => {{1},{2,3},{4,6},{5,7}} => 13

{{1,2,6},{3},{4},{5},{7}} => {{1},{2,6,7},{3},{4},{5}} => {{1},{2},{3},{4,6},{5,7}} => 9

{{1,2,7},{3,6},{4},{5}} => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,5,6,7},{4}} => 14

{{1,2},{3,6,7},{4},{5}} => {{1,2,5},{3},{4},{6,7}} => {{1,2,7},{3},{4,5},{6}} => 12

{{1,2},{3,6},{4,7},{5}} => {{1,4},{2,5},{3},{6,7}} => {{1,7},{2,5},{3,4},{6}} => 11

{{1,2},{3,6},{4},{5,7}} => {{1,3},{2,5},{4},{6,7}} => {{1,7},{2,3,5},{4},{6}} => 11

{{1,2},{3,6},{4},{5},{7}} => {{1},{2,5},{3},{4},{6,7}} => {{1,7},{2},{3,5},{4},{6}} => 6

{{1,2,7},{3},{4,6},{5}} => {{1,6,7},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6,7}} => 14

{{1,2},{3,7},{4,6},{5}} => {{1,5},{2,4},{3},{6,7}} => {{1,7},{2,4,5},{3},{6}} => 11

{{1,2},{3},{4,6,7},{5}} => {{1,2,4},{3},{5},{6,7}} => {{1,2,7},{3,4},{5},{6}} => 12

{{1,2},{3},{4,6},{5,7}} => {{1,3},{2,4},{5},{6,7}} => {{1,4},{2,3,7},{5},{6}} => 11

{{1,2},{3},{4,6},{5},{7}} => {{1},{2,4},{3},{5},{6,7}} => {{1,7},{2,4},{3},{5},{6}} => 6

{{1,2,7},{3},{4},{5,6}} => {{1,6,7},{2,3},{4},{5}} => {{1,3},{2},{4},{5,6,7}} => 14

{{1,2},{3,7},{4},{5,6}} => {{1,5},{2,3},{4},{6,7}} => {{1,3},{2,7},{4,5},{6}} => 11

{{1,2},{3},{4,7},{5,6}} => {{1,4},{2,3},{5},{6,7}} => {{1,3,4},{2,7},{5},{6}} => 11

{{1,2},{3},{4},{5,6,7}} => {{1,2,3},{4},{5},{6,7}} => {{1,2,3,7},{4},{5},{6}} => 12

{{1,2},{3},{4},{5,6},{7}} => {{1},{2,3},{4},{5},{6,7}} => {{1,3},{2,7},{4},{5},{6}} => 6

{{1,2,7},{3},{4},{5},{6}} => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6,7}} => 11

{{1,2},{3,7},{4},{5},{6}} => {{1,5},{2},{3},{4},{6,7}} => {{1,7},{2},{3},{4,5},{6}} => 7

{{1,2},{3},{4,7},{5},{6}} => {{1,4},{2},{3},{5},{6,7}} => {{1,7},{2},{3,4},{5},{6}} => 7

{{1,2},{3},{4},{5,7},{6}} => {{1,3},{2},{4},{5},{6,7}} => {{1,7},{2,3},{4},{5},{6}} => 7

{{1,2},{3},{4},{5},{6,7}} => {{1,2},{3},{4},{5},{6,7}} => {{1,2,7},{3},{4},{5},{6}} => 7

{{1,2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1

{{1,3,4,5,6,7},{2}} => {{1,2,3,4,5,7},{6}} => {{1,2,3,4,5},{6,7}} => 20

{{1,3,4,5,6},{2,7}} => {{1,6},{2,3,4,5,7}} => {{1,3,5,6},{2,4,7}} => 16

{{1,3,4,5,6},{2},{7}} => {{1},{2,3,4,5,7},{6}} => {{1,3,5,7},{2,4},{6}} => 14

{{1,3,4,5,7},{2,6}} => {{1,3,4,5,7},{2,6}} => {{1,6,7},{2,3,4,5}} => 19

{{1,3,4,5},{2,6,7}} => {{1,2,6},{3,4,5,7}} => {{1,2,4,7},{3,5,6}} => 17

{{1,3,4,5},{2,6},{7}} => {{1},{2,6},{3,4,5,7}} => {{1,4,6},{2,5},{3,7}} => 11

{{1,3,4,5,7},{2},{6}} => {{1,3,4,5,7},{2},{6}} => {{1},{2,3,4,5},{6,7}} => 18

{{1,3,4,5},{2,7},{6}} => {{1,6},{2},{3,4,5,7}} => {{1,4},{2,5,6},{3,7}} => 12

{{1,3,4,5},{2},{6,7}} => {{1,2},{3,4,5,7},{6}} => {{1,2,4},{3,5,7},{6}} => 15

{{1,3,4,5},{2},{6},{7}} => {{1},{2},{3,4,5,7},{6}} => {{1,4,7},{2,5},{3},{6}} => 9

{{1,3,4,6,7},{2,5}} => {{1,2,4,5,7},{3,6}} => {{1,2,6,7},{3,4,5}} => 19

{{1,3,4,6},{2,5,7}} => {{1,3,6},{2,4,5,7}} => {{1,4,7},{2,3,5,6}} => 17

{{1,3,4,6},{2,5},{7}} => {{1},{2,4,5,7},{3,6}} => {{1,6},{2,4},{3,5,7}} => 13

{{1,3,4,7},{2,5,6}} => {{1,4,5,7},{2,3,6}} => {{1,3,4,5},{2,6,7}} => 18

{{1,3,4},{2,5,6,7}} => {{1,2,3,6},{4,5,7}} => {{1,2,3,5,6},{4,7}} => 18

{{1,3,4},{2,5,6},{7}} => {{1},{2,3,6},{4,5,7}} => {{1,3,7},{2,5},{4,6}} => 12

{{1,3,4,7},{2,5},{6}} => {{1,4,5,7},{2},{3,6}} => {{1,6,7},{2},{3,4,5}} => 16

{{1,3,4},{2,5,7},{6}} => {{1,3,6},{2},{4,5,7}} => {{1,5,6},{2,3,7},{4}} => 14

{{1,3,4},{2,5},{6,7}} => {{1,2},{3,6},{4,5,7}} => {{1,2,5},{3,7},{4,6}} => 13

{{1,3,4},{2,5},{6},{7}} => {{1},{2},{3,6},{4,5,7}} => {{1,5},{2,7},{3,6},{4}} => 7

{{1,3,4,6,7},{2},{5}} => {{1,2,4,5,7},{3},{6}} => {{1,2},{3,4,5},{6,7}} => 18

{{1,3,4,6},{2,7},{5}} => {{1,6},{2,4,5,7},{3}} => {{1},{2,4,7},{3,5,6}} => 15

{{1,3,4,6},{2},{5,7}} => {{1,3},{2,4,5,7},{6}} => {{1,4},{2,3,5,7},{6}} => 15

{{1,3,4,6},{2},{5},{7}} => {{1},{2,4,5,7},{3},{6}} => {{1},{2,4},{3,5,7},{6}} => 12

{{1,3,4,7},{2,6},{5}} => {{1,4,5,7},{2,6},{3}} => {{1},{2,6,7},{3,4,5}} => 17

{{1,3,4},{2,6,7},{5}} => {{1,2,6},{3},{4,5,7}} => {{1,2,5,6},{3,7},{4}} => 14

{{1,3,4},{2,6},{5,7}} => {{1,3},{2,6},{4,5,7}} => {{1,5},{2,3,7},{4,6}} => 13

{{1,3,4},{2,6},{5},{7}} => {{1},{2,6},{3},{4,5,7}} => {{1,5},{2,7},{3},{4,6}} => 8

{{1,3,4,7},{2},{5,6}} => {{1,4,5,7},{2,3},{6}} => {{1,3,4,5},{2},{6,7}} => 17

{{1,3,4},{2,7},{5,6}} => {{1,6},{2,3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 13

{{1,3,4},{2},{5,6,7}} => {{1,2,3},{4,5,7},{6}} => {{1,2,3,5,7},{4},{6}} => 16

{{1,3,4},{2},{5,6},{7}} => {{1},{2,3},{4,5,7},{6}} => {{1,3},{2,5},{4,7},{6}} => 10

{{1,3,4,7},{2},{5},{6}} => {{1,4,5,7},{2},{3},{6}} => {{1},{2},{3,4,5},{6,7}} => 15

{{1,3,4},{2,7},{5},{6}} => {{1,6},{2},{3},{4,5,7}} => {{1,5,6},{2,7},{3},{4}} => 9

{{1,3,4},{2},{5,7},{6}} => {{1,3},{2},{4,5,7},{6}} => {{1,5},{2,3},{4,7},{6}} => 11

{{1,3,4},{2},{5},{6,7}} => {{1,2},{3},{4,5,7},{6}} => {{1,2,5},{3},{4,7},{6}} => 11

{{1,3,4},{2},{5},{6},{7}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5},{2},{3,7},{4},{6}} => 5

{{1,3,5,6,7},{2,4}} => {{1,2,3,5,7},{4,6}} => {{1,2,3,6,7},{4,5}} => 19

{{1,3,5,6},{2,4,7}} => {{1,4,6},{2,3,5,7}} => {{1,3,4,7},{2,5,6}} => 17

{{1,3,5,6},{2,4},{7}} => {{1},{2,3,5,7},{4,6}} => {{1,3,5,7},{2,6},{4}} => 13

{{1,3,5,7},{2,4,6}} => {{1,3,5,7},{2,4,6}} => {{1,4,5},{2,3,6,7}} => 18

{{1,3,5},{2,4,6,7}} => {{1,2,4,6},{3,5,7}} => {{1,2,5,6},{3,4,7}} => 18

{{1,3,5},{2,4,6},{7}} => {{1},{2,4,6},{3,5,7}} => {{1,5},{2,4,6},{3,7}} => 12

{{1,3,5,7},{2,4},{6}} => {{1,3,5,7},{2},{4,6}} => {{1,6,7},{2,3},{4,5}} => 16

{{1,3,5},{2,4,7},{6}} => {{1,4,6},{2},{3,5,7}} => {{1,5,6},{2,7},{3,4}} => 14

{{1,3,5},{2,4},{6,7}} => {{1,2},{3,5,7},{4,6}} => {{1,2,6},{3,5,7},{4}} => 14

{{1,3,5},{2,4},{6},{7}} => {{1},{2},{3,5,7},{4,6}} => {{1,6},{2,5},{3},{4,7}} => 8

{{1,3,6,7},{2,4,5}} => {{1,2,5,7},{3,4,6}} => {{1,2,4,5},{3,6,7}} => 18

{{1,3,6},{2,4,5,7}} => {{1,3,4,6},{2,5,7}} => {{1,5,6},{2,3,4,7}} => 18

{{1,3,6},{2,4,5},{7}} => {{1},{2,5,7},{3,4,6}} => {{1,4},{2,6},{3,5,7}} => 12

{{1,3,7},{2,4,5,6}} => {{1,5,7},{2,3,4,6}} => {{1,3,6,7},{2,4,5}} => 17

{{1,3},{2,4,5,6,7}} => {{1,2,3,4,6},{5,7}} => {{1,2,3,4,7},{5,6}} => 19

{{1,3},{2,4,5,6},{7}} => {{1},{2,3,4,6},{5,7}} => {{1,3,7},{2,4,6},{5}} => 13

{{1,3,7},{2,4,5},{6}} => {{1,5,7},{2},{3,4,6}} => {{1,4,5},{2,6,7},{3}} => 14

{{1,3},{2,4,5,7},{6}} => {{1,3,4,6},{2},{5,7}} => {{1,7},{2,3,4},{5,6}} => 16

{{1,3},{2,4,5},{6,7}} => {{1,2},{3,4,6},{5,7}} => {{1,2,4,6},{3,7},{5}} => 14

{{1,3},{2,4,5},{6},{7}} => {{1},{2},{3,4,6},{5,7}} => {{1,4},{2,7},{3,6},{5}} => 8

{{1,3,6,7},{2,4},{5}} => {{1,2,5,7},{3},{4,6}} => {{1,2,6,7},{3},{4,5}} => 16

{{1,3,6},{2,4,7},{5}} => {{1,4,6},{2,5,7},{3}} => {{1},{2,5,6},{3,4,7}} => 16

{{1,3,6},{2,4},{5,7}} => {{1,3},{2,5,7},{4,6}} => {{1,6},{2,3,5,7},{4}} => 14

{{1,3,6},{2,4},{5},{7}} => {{1},{2,5,7},{3},{4,6}} => {{1,6},{2},{3,5,7},{4}} => 10

{{1,3,7},{2,4,6},{5}} => {{1,5,7},{2,4,6},{3}} => {{1},{2,4,5},{3,6,7}} => 16

{{1,3},{2,4,6,7},{5}} => {{1,2,4,6},{3},{5,7}} => {{1,2,7},{3,4},{5,6}} => 16

{{1,3},{2,4,6},{5,7}} => {{1,3},{2,4,6},{5,7}} => {{1,4,6},{2,3,7},{5}} => 14

{{1,3},{2,4,6},{5},{7}} => {{1},{2,4,6},{3},{5,7}} => {{1,7},{2,4,6},{3},{5}} => 10

{{1,3,7},{2,4},{5,6}} => {{1,5,7},{2,3},{4,6}} => {{1,3},{2,6,7},{4,5}} => 15

{{1,3},{2,4,7},{5,6}} => {{1,4,6},{2,3},{5,7}} => {{1,3,4},{2,7},{5,6}} => 15

{{1,3},{2,4},{5,6,7}} => {{1,2,3},{4,6},{5,7}} => {{1,2,3,7},{4,6},{5}} => 15

{{1,3},{2,4},{5,6},{7}} => {{1},{2,3},{4,6},{5,7}} => {{1,3,6},{2,7},{4},{5}} => 9

{{1,3,7},{2,4},{5},{6}} => {{1,5,7},{2},{3},{4,6}} => {{1,6,7},{2},{3},{4,5}} => 12

{{1,3},{2,4,7},{5},{6}} => {{1,4,6},{2},{3},{5,7}} => {{1,7},{2},{3,4},{5,6}} => 12

{{1,3},{2,4},{5,7},{6}} => {{1,3},{2},{4,6},{5,7}} => {{1,7},{2,3,6},{4},{5}} => 10

{{1,3},{2,4},{5},{6,7}} => {{1,2},{3},{4,6},{5,7}} => {{1,2,7},{3,6},{4},{5}} => 10

{{1,3},{2,4},{5},{6},{7}} => {{1},{2},{3},{4,6},{5,7}} => {{1,7},{2,6},{3},{4},{5}} => 4

{{1,3,5,6,7},{2},{4}} => {{1,2,3,5,7},{4},{6}} => {{1,2,3},{4,5},{6,7}} => 18

{{1,3,5,6},{2,7},{4}} => {{1,6},{2,3,5,7},{4}} => {{1,3,5,6},{2},{4,7}} => 15

{{1,3,5,6},{2},{4,7}} => {{1,4},{2,3,5,7},{6}} => {{1,3,4},{2,5,7},{6}} => 15

{{1,3,5,6},{2},{4},{7}} => {{1},{2,3,5,7},{4},{6}} => {{1,3,5,7},{2},{4},{6}} => 12

{{1,3,5,7},{2,6},{4}} => {{1,3,5,7},{2,6},{4}} => {{1},{2,3,6,7},{4,5}} => 17

{{1,3,5},{2,6,7},{4}} => {{1,2,6},{3,5,7},{4}} => {{1,2},{3,5,6},{4,7}} => 16

{{1,3,5},{2,6},{4,7}} => {{1,4},{2,6},{3,5,7}} => {{1,5},{2,7},{3,4,6}} => 13

{{1,3,5},{2,6},{4},{7}} => {{1},{2,6},{3,5,7},{4}} => {{1},{2,5},{3,7},{4,6}} => 10

{{1,3,5,7},{2},{4,6}} => {{1,3,5,7},{2,4},{6}} => {{1,4,5},{2,3},{6,7}} => 17

{{1,3,5},{2,7},{4,6}} => {{1,6},{2,4},{3,5,7}} => {{1,5,6},{2,4},{3,7}} => 13

{{1,3,5},{2},{4,6,7}} => {{1,2,4},{3,5,7},{6}} => {{1,2,5,7},{3,4},{6}} => 16

{{1,3,5},{2},{4,6},{7}} => {{1},{2,4},{3,5,7},{6}} => {{1,5},{2,4,7},{3},{6}} => 10

{{1,3,5,7},{2},{4},{6}} => {{1,3,5,7},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7}} => 15

{{1,3,5},{2,7},{4},{6}} => {{1,6},{2},{3,5,7},{4}} => {{1},{2,5,6},{3,7},{4}} => 11

{{1,3,5},{2},{4,7},{6}} => {{1,4},{2},{3,5,7},{6}} => {{1,5},{2},{3,4,7},{6}} => 11

{{1,3,5},{2},{4},{6,7}} => {{1,2},{3,5,7},{4},{6}} => {{1,2},{3,5,7},{4},{6}} => 13

{{1,3,5},{2},{4},{6},{7}} => {{1},{2},{3,5,7},{4},{6}} => {{1},{2,5},{3},{4,7},{6}} => 7

{{1,3,6,7},{2,5},{4}} => {{1,2,5,7},{3,6},{4}} => {{1,2},{3,6,7},{4,5}} => 17

{{1,3,6},{2,5,7},{4}} => {{1,3,6},{2,5,7},{4}} => {{1},{2,3,5,6},{4,7}} => 16

{{1,3,6},{2,5},{4,7}} => {{1,4},{2,5,7},{3,6}} => {{1,6},{2,5,7},{3,4}} => 14

{{1,3,6},{2,5},{4},{7}} => {{1},{2,5,7},{3,6},{4}} => {{1},{2,6},{3,5,7},{4}} => 11

{{1,3,7},{2,5,6},{4}} => {{1,5,7},{2,3,6},{4}} => {{1,3,6,7},{2},{4,5}} => 16

{{1,3},{2,5,6,7},{4}} => {{1,2,3,6},{4},{5,7}} => {{1,2,3,7},{4},{5,6}} => 16

{{1,3},{2,5,6},{4,7}} => {{1,4},{2,3,6},{5,7}} => {{1,3,4,6},{2,7},{5}} => 14

{{1,3},{2,5,6},{4},{7}} => {{1},{2,3,6},{4},{5,7}} => {{1,3},{2,7},{4,6},{5}} => 10

{{1,3,7},{2,5},{4,6}} => {{1,5,7},{2,4},{3,6}} => {{1,6,7},{2,4,5},{3}} => 15

{{1,3},{2,5,7},{4,6}} => {{1,3,6},{2,4},{5,7}} => {{1,4},{2,3,7},{5,6}} => 15

{{1,3},{2,5},{4,6,7}} => {{1,2,4},{3,6},{5,7}} => {{1,2,7},{3,4,6},{5}} => 15

{{1,3},{2,5},{4,6},{7}} => {{1},{2,4},{3,6},{5,7}} => {{1,7},{2,4},{3,6},{5}} => 9

{{1,3,7},{2,5},{4},{6}} => {{1,5,7},{2},{3,6},{4}} => {{1},{2,6,7},{3},{4,5}} => 13

{{1,3},{2,5,7},{4},{6}} => {{1,3,6},{2},{4},{5,7}} => {{1,7},{2,3},{4},{5,6}} => 12

{{1,3},{2,5},{4,7},{6}} => {{1,4},{2},{3,6},{5,7}} => {{1,7},{2,6},{3,4},{5}} => 10

{{1,3},{2,5},{4},{6,7}} => {{1,2},{3,6},{4},{5,7}} => {{1,2,7},{3},{4,6},{5}} => 11

{{1,3},{2,5},{4},{6},{7}} => {{1},{2},{3,6},{4},{5,7}} => {{1,7},{2},{3,6},{4},{5}} => 5

{{1,3,6,7},{2},{4,5}} => {{1,2,5,7},{3,4},{6}} => {{1,2,4,5},{3},{6,7}} => 17

{{1,3,6},{2,7},{4,5}} => {{1,6},{2,5,7},{3,4}} => {{1,4,7},{2},{3,5,6}} => 14

{{1,3,6},{2},{4,5,7}} => {{1,3,4},{2,5,7},{6}} => {{1,5,7},{2,3,4},{6}} => 16

{{1,3,6},{2},{4,5},{7}} => {{1},{2,5,7},{3,4},{6}} => {{1,4},{2},{3,5,7},{6}} => 11

{{1,3,7},{2,6},{4,5}} => {{1,5,7},{2,6},{3,4}} => {{1,4,5},{2},{3,6,7}} => 15

{{1,3},{2,6,7},{4,5}} => {{1,2,6},{3,4},{5,7}} => {{1,2,4},{3,7},{5,6}} => 15

{{1,3},{2,6},{4,5,7}} => {{1,3,4},{2,6},{5,7}} => {{1,7},{2,3,4,6},{5}} => 15

{{1,3},{2,6},{4,5},{7}} => {{1},{2,6},{3,4},{5,7}} => {{1,4,6},{2,7},{3},{5}} => 9

{{1,3,7},{2},{4,5,6}} => {{1,5,7},{2,3,4},{6}} => {{1,3},{2,4,5},{6,7}} => 16

{{1,3},{2,7},{4,5,6}} => {{1,6},{2,3,4},{5,7}} => {{1,3,7},{2,4},{5,6}} => 14

{{1,3},{2},{4,5,6,7}} => {{1,2,3,4},{5,7},{6}} => {{1,2,3,4},{5,7},{6}} => 17

{{1,3},{2},{4,5,6},{7}} => {{1},{2,3,4},{5,7},{6}} => {{1,3},{2,4,7},{5},{6}} => 11

{{1,3,7},{2},{4,5},{6}} => {{1,5,7},{2},{3,4},{6}} => {{1,4,5},{2},{3},{6,7}} => 13

{{1,3},{2,7},{4,5},{6}} => {{1,6},{2},{3,4},{5,7}} => {{1,4},{2,7},{3},{5,6}} => 10

{{1,3},{2},{4,5,7},{6}} => {{1,3,4},{2},{5,7},{6}} => {{1},{2,3,4,7},{5},{6}} => 13

{{1,3},{2},{4,5},{6,7}} => {{1,2},{3,4},{5,7},{6}} => {{1,2,4,7},{3},{5},{6}} => 12

{{1,3},{2},{4,5},{6},{7}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4},{2},{3,7},{5},{6}} => 6

{{1,3,6,7},{2},{4},{5}} => {{1,2,5,7},{3},{4},{6}} => {{1,2},{3},{4,5},{6,7}} => 15

{{1,3,6},{2,7},{4},{5}} => {{1,6},{2,5,7},{3},{4}} => {{1},{2},{3,5,6},{4,7}} => 13

{{1,3,6},{2},{4,7},{5}} => {{1,4},{2,5,7},{3},{6}} => {{1},{2,5,7},{3,4},{6}} => 13

{{1,3,6},{2},{4},{5,7}} => {{1,3},{2,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}} => 13

{{1,3,6},{2},{4},{5},{7}} => {{1},{2,5,7},{3},{4},{6}} => {{1},{2},{3,5,7},{4},{6}} => 9

{{1,3,7},{2,6},{4},{5}} => {{1,5,7},{2,6},{3},{4}} => {{1},{2},{3,6,7},{4,5}} => 14

{{1,3},{2,6,7},{4},{5}} => {{1,2,6},{3},{4},{5,7}} => {{1,2,7},{3},{4},{5,6}} => 12

{{1,3},{2,6},{4,7},{5}} => {{1,4},{2,6},{3},{5,7}} => {{1,7},{2},{3,4,6},{5}} => 11

{{1,3},{2,6},{4},{5,7}} => {{1,3},{2,6},{4},{5,7}} => {{1,7},{2,3},{4,6},{5}} => 11

{{1,3},{2,6},{4},{5},{7}} => {{1},{2,6},{3},{4},{5,7}} => {{1,7},{2},{3},{4,6},{5}} => 6

{{1,3,7},{2},{4,6},{5}} => {{1,5,7},{2,4},{3},{6}} => {{1},{2,4,5},{3},{6,7}} => 14

{{1,3},{2,7},{4,6},{5}} => {{1,6},{2,4},{3},{5,7}} => {{1,7},{2,4},{3},{5,6}} => 11

{{1,3},{2},{4,6,7},{5}} => {{1,2,4},{3},{5,7},{6}} => {{1,2},{3,4,7},{5},{6}} => 13

{{1,3},{2},{4,6},{5,7}} => {{1,3},{2,4},{5,7},{6}} => {{1,4,7},{2,3},{5},{6}} => 12

{{1,3},{2},{4,6},{5},{7}} => {{1},{2,4},{3},{5,7},{6}} => {{1},{2,4},{3,7},{5},{6}} => 7

{{1,3,7},{2},{4},{5,6}} => {{1,5,7},{2,3},{4},{6}} => {{1,3},{2},{4,5},{6,7}} => 14

{{1,3},{2,7},{4},{5,6}} => {{1,6},{2,3},{4},{5,7}} => {{1,3},{2,7},{4},{5,6}} => 11

{{1,3},{2},{4,7},{5,6}} => {{1,4},{2,3},{5,7},{6}} => {{1,3,4,7},{2},{5},{6}} => 12

{{1,3},{2},{4},{5,6,7}} => {{1,2,3},{4},{5,7},{6}} => {{1,2,3},{4,7},{5},{6}} => 13

{{1,3},{2},{4},{5,6},{7}} => {{1},{2,3},{4},{5,7},{6}} => {{1,3,7},{2},{4},{5},{6}} => 7

{{1,3,7},{2},{4},{5},{6}} => {{1,5,7},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6,7}} => 11

{{1,3},{2,7},{4},{5},{6}} => {{1,6},{2},{3},{4},{5,7}} => {{1,7},{2},{3},{4},{5,6}} => 7

{{1,3},{2},{4,7},{5},{6}} => {{1,4},{2},{3},{5,7},{6}} => {{1},{2,7},{3,4},{5},{6}} => 8

{{1,3},{2},{4},{5,7},{6}} => {{1,3},{2},{4},{5,7},{6}} => {{1},{2,3,7},{4},{5},{6}} => 8

{{1,3},{2},{4},{5},{6,7}} => {{1,2},{3},{4},{5,7},{6}} => {{1,2},{3,7},{4},{5},{6}} => 8

{{1,3},{2},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5,7},{6}} => {{1},{2,7},{3},{4},{5},{6}} => 2

{{1,4,5,6,7},{2,3}} => {{1,2,3,4,7},{5,6}} => {{1,2,3,4,6,7},{5}} => 19

{{1,4,5,6},{2,3,7}} => {{1,5,6},{2,3,4,7}} => {{1,3,7},{2,4,5,6}} => 17

{{1,4,5,6},{2,3},{7}} => {{1},{2,3,4,7},{5,6}} => {{1,3,6},{2,4},{5,7}} => 13

{{1,4,5,7},{2,3,6}} => {{1,3,4,7},{2,5,6}} => {{1,5},{2,3,4,6,7}} => 18

{{1,4,5},{2,3,6,7}} => {{1,2,5,6},{3,4,7}} => {{1,2,4,5,6},{3,7}} => 18

{{1,4,5},{2,3,6},{7}} => {{1},{2,5,6},{3,4,7}} => {{1,4,6},{2,7},{3,5}} => 12

{{1,4,5,7},{2,3},{6}} => {{1,3,4,7},{2},{5,6}} => {{1,6,7},{2,3,4},{5}} => 16

{{1,4,5},{2,3,7},{6}} => {{1,5,6},{2},{3,4,7}} => {{1,4,5,6},{2,7},{3}} => 14

{{1,4,5},{2,3},{6,7}} => {{1,2},{3,4,7},{5,6}} => {{1,2,4},{3,6},{5,7}} => 14

{{1,4,5},{2,3},{6},{7}} => {{1},{2},{3,4,7},{5,6}} => {{1,4,7},{2,6},{3},{5}} => 8

{{1,4,6,7},{2,3,5}} => {{1,2,4,7},{3,5,6}} => {{1,2,5},{3,4,6,7}} => 18

{{1,4,6},{2,3,5,7}} => {{1,3,5,6},{2,4,7}} => {{1,4,5,6},{2,3,7}} => 18

{{1,4,6},{2,3,5},{7}} => {{1},{2,4,7},{3,5,6}} => {{1,5,7},{2,4},{3,6}} => 12

{{1,4,7},{2,3,5,6}} => {{1,4,7},{2,3,5,6}} => {{1,3,4,6,7},{2,5}} => 17

{{1,4},{2,3,5,6,7}} => {{1,2,3,5,6},{4,7}} => {{1,2,3,7},{4,5,6}} => 19

{{1,4},{2,3,5,6},{7}} => {{1},{2,3,5,6},{4,7}} => {{1,3,5},{2,7},{4,6}} => 13

{{1,4,7},{2,3,5},{6}} => {{1,4,7},{2},{3,5,6}} => {{1,5},{2,6,7},{3,4}} => 14

{{1,4},{2,3,5,7},{6}} => {{1,3,5,6},{2},{4,7}} => {{1,7},{2,3},{4,5,6}} => 16

{{1,4},{2,3,5},{6,7}} => {{1,2},{3,5,6},{4,7}} => {{1,2,7},{3,5},{4,6}} => 14

{{1,4},{2,3,5},{6},{7}} => {{1},{2},{3,5,6},{4,7}} => {{1,7},{2,5},{3,6},{4}} => 8

{{1,4,6,7},{2,3},{5}} => {{1,2,4,7},{3},{5,6}} => {{1,2,6,7},{3,4},{5}} => 16

{{1,4,6},{2,3,7},{5}} => {{1,5,6},{2,4,7},{3}} => {{1},{2,4,5,6},{3,7}} => 16

{{1,4,6},{2,3},{5,7}} => {{1,3},{2,4,7},{5,6}} => {{1,4},{2,3,6},{5,7}} => 14

{{1,4,6},{2,3},{5},{7}} => {{1},{2,4,7},{3},{5,6}} => {{1,6},{2,4},{3},{5,7}} => 10

{{1,4,7},{2,3,6},{5}} => {{1,4,7},{2,5,6},{3}} => {{1},{2,5},{3,4,6,7}} => 16

{{1,4},{2,3,6,7},{5}} => {{1,2,5,6},{3},{4,7}} => {{1,2,7},{3},{4,5,6}} => 16

{{1,4},{2,3,6},{5,7}} => {{1,3},{2,5,6},{4,7}} => {{1,7},{2,3,5},{4,6}} => 14

{{1,4},{2,3,6},{5},{7}} => {{1},{2,5,6},{3},{4,7}} => {{1,7},{2},{3,5},{4,6}} => 10

{{1,4,7},{2,3},{5,6}} => {{1,4,7},{2,3},{5,6}} => {{1,3,4},{2,6,7},{5}} => 15

{{1,4},{2,3,7},{5,6}} => {{1,5,6},{2,3},{4,7}} => {{1,3},{2,7},{4,5,6}} => 15

{{1,4},{2,3},{5,6,7}} => {{1,2,3},{4,7},{5,6}} => {{1,2,3,6},{4},{5,7}} => 15

{{1,4},{2,3},{5,6},{7}} => {{1},{2,3},{4,7},{5,6}} => {{1,3},{2,6},{4,7},{5}} => 9

{{1,4,7},{2,3},{5},{6}} => {{1,4,7},{2},{3},{5,6}} => {{1,6,7},{2},{3,4},{5}} => 12

{{1,4},{2,3,7},{5},{6}} => {{1,5,6},{2},{3},{4,7}} => {{1,7},{2},{3},{4,5,6}} => 12

{{1,4},{2,3},{5,7},{6}} => {{1,3},{2},{4,7},{5,6}} => {{1,6},{2,3},{4,7},{5}} => 10

{{1,4},{2,3},{5},{6,7}} => {{1,2},{3},{4,7},{5,6}} => {{1,2,6},{3},{4,7},{5}} => 10

{{1,4},{2,3},{5},{6},{7}} => {{1},{2},{3},{4,7},{5,6}} => {{1,6},{2},{3,7},{4},{5}} => 4

{{1,5,6,7},{2,3,4}} => {{1,2,3,7},{4,5,6}} => {{1,2,3,5},{4,6,7}} => 18

{{1,5,6},{2,3,4,7}} => {{1,4,5,6},{2,3,7}} => {{1,3,4,5,6},{2,7}} => 18

{{1,5,6},{2,3,4},{7}} => {{1},{2,3,7},{4,5,6}} => {{1,3,6},{2,5,7},{4}} => 12

{{1,5,7},{2,3,4,6}} => {{1,3,7},{2,4,5,6}} => {{1,4,6,7},{2,3,5}} => 17

{{1,5},{2,3,4,6,7}} => {{1,2,4,5,6},{3,7}} => {{1,2,7},{3,4,5,6}} => 19

{{1,5},{2,3,4,6},{7}} => {{1},{2,4,5,6},{3,7}} => {{1,7},{2,4,6},{3,5}} => 13

{{1,5,7},{2,3,4},{6}} => {{1,3,7},{2},{4,5,6}} => {{1,5},{2,3,6,7},{4}} => 14

{{1,5},{2,3,4,7},{6}} => {{1,4,5,6},{2},{3,7}} => {{1,7},{2},{3,4,5,6}} => 16

{{1,5},{2,3,4},{6,7}} => {{1,2},{3,7},{4,5,6}} => {{1,2,5,7},{3,6},{4}} => 13

{{1,5},{2,3,4},{6},{7}} => {{1},{2},{3,7},{4,5,6}} => {{1,5},{2,6},{3},{4,7}} => 7

{{1,6,7},{2,3,4,5}} => {{1,2,7},{3,4,5,6}} => {{1,2,4,6,7},{3,5}} => 17

{{1,6},{2,3,4,5,7}} => {{1,3,4,5,6},{2,7}} => {{1,7},{2,3,4,5,6}} => 19

{{1,6},{2,3,4,5},{7}} => {{1},{2,7},{3,4,5,6}} => {{1,4},{2,5,7},{3,6}} => 11

{{1,7},{2,3,4,5,6}} => {{1,7},{2,3,4,5,6}} => {{1,3,5},{2,4,6,7}} => 16

{{1},{2,3,4,5,6,7}} => {{1,2,3,4,5,6},{7}} => {{1,2,3,4,5,6},{7}} => 20

{{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}} => {{1,3,5},{2,4,6},{7}} => 14

{{1,7},{2,3,4,5},{6}} => {{1,7},{2},{3,4,5,6}} => {{1,4},{2,5},{3,6,7}} => 12

{{1},{2,3,4,5,7},{6}} => {{1,3,4,5,6},{2},{7}} => {{1},{2,3,4,5,6},{7}} => 18

{{1},{2,3,4,5},{6,7}} => {{1,2},{3,4,5,6},{7}} => {{1,2,4,6},{3,5},{7}} => 15

{{1},{2,3,4,5},{6},{7}} => {{1},{2},{3,4,5,6},{7}} => {{1,4},{2,5},{3,6},{7}} => 9

{{1,6,7},{2,3,4},{5}} => {{1,2,7},{3},{4,5,6}} => {{1,2,5},{3,6,7},{4}} => 14

{{1,6},{2,3,4,7},{5}} => {{1,4,5,6},{2,7},{3}} => {{1},{2,7},{3,4,5,6}} => 17

{{1,6},{2,3,4},{5,7}} => {{1,3},{2,7},{4,5,6}} => {{1,5,7},{2,3,6},{4}} => 13

{{1,6},{2,3,4},{5},{7}} => {{1},{2,7},{3},{4,5,6}} => {{1,5,7},{2,6},{3},{4}} => 8

{{1,7},{2,3,4,6},{5}} => {{1,7},{2,4,5,6},{3}} => {{1},{2,4,6,7},{3,5}} => 15

{{1},{2,3,4,6,7},{5}} => {{1,2,4,5,6},{3},{7}} => {{1,2},{3,4,5,6},{7}} => 18

{{1},{2,3,4,6},{5,7}} => {{1,3},{2,4,5,6},{7}} => {{1,4,6},{2,3,5},{7}} => 15

{{1},{2,3,4,6},{5},{7}} => {{1},{2,4,5,6},{3},{7}} => {{1},{2,4,6},{3,5},{7}} => 12

{{1,7},{2,3,4},{5,6}} => {{1,7},{2,3},{4,5,6}} => {{1,3,6,7},{2,5},{4}} => 13

{{1},{2,3,4,7},{5,6}} => {{1,4,5,6},{2,3},{7}} => {{1,3,4,5,6},{2},{7}} => 17

{{1},{2,3,4},{5,6,7}} => {{1,2,3},{4,5,6},{7}} => {{1,2,3,5},{4,6},{7}} => 16

{{1},{2,3,4},{5,6},{7}} => {{1},{2,3},{4,5,6},{7}} => {{1,3,6},{2,5},{4},{7}} => 10

{{1,7},{2,3,4},{5},{6}} => {{1,7},{2},{3},{4,5,6}} => {{1,5},{2,6,7},{3},{4}} => 9

{{1},{2,3,4,7},{5},{6}} => {{1,4,5,6},{2},{3},{7}} => {{1},{2},{3,4,5,6},{7}} => 15

{{1},{2,3,4},{5,7},{6}} => {{1,3},{2},{4,5,6},{7}} => {{1,5},{2,3,6},{4},{7}} => 11

{{1},{2,3,4},{5},{6,7}} => {{1,2},{3},{4,5,6},{7}} => {{1,2,5},{3,6},{4},{7}} => 11

{{1},{2,3,4},{5},{6},{7}} => {{1},{2},{3},{4,5,6},{7}} => {{1,5},{2,6},{3},{4},{7}} => 5

{{1,5,6,7},{2,3},{4}} => {{1,2,3,7},{4},{5,6}} => {{1,2,3,6,7},{4},{5}} => 16

{{1,5,6},{2,3,7},{4}} => {{1,5,6},{2,3,7},{4}} => {{1,3,7},{2},{4,5,6}} => 16

{{1,5,6},{2,3},{4,7}} => {{1,4},{2,3,7},{5,6}} => {{1,3,4},{2,6},{5,7}} => 14

{{1,5,6},{2,3},{4},{7}} => {{1},{2,3,7},{4},{5,6}} => {{1,3},{2,6},{4},{5,7}} => 10

{{1,5,7},{2,3,6},{4}} => {{1,3,7},{2,5,6},{4}} => {{1},{2,3,5},{4,6,7}} => 16

{{1,5},{2,3,6,7},{4}} => {{1,2,5,6},{3,7},{4}} => {{1,2},{3,7},{4,5,6}} => 17

{{1,5},{2,3,6},{4,7}} => {{1,4},{2,5,6},{3,7}} => {{1,7},{2,5},{3,4,6}} => 14

{{1,5},{2,3,6},{4},{7}} => {{1},{2,5,6},{3,7},{4}} => {{1},{2,7},{3,5},{4,6}} => 11

{{1,5,7},{2,3},{4,6}} => {{1,3,7},{2,4},{5,6}} => {{1,4},{2,3,6,7},{5}} => 15

{{1,5},{2,3,7},{4,6}} => {{1,5,6},{2,4},{3,7}} => {{1,7},{2,4,5,6},{3}} => 15

{{1,5},{2,3},{4,6,7}} => {{1,2,4},{3,7},{5,6}} => {{1,2,6},{3,4},{5,7}} => 15

{{1,5},{2,3},{4,6},{7}} => {{1},{2,4},{3,7},{5,6}} => {{1,6},{2,4,7},{3},{5}} => 9

{{1,5,7},{2,3},{4},{6}} => {{1,3,7},{2},{4},{5,6}} => {{1,6,7},{2,3},{4},{5}} => 12

{{1,5},{2,3,7},{4},{6}} => {{1,5,6},{2},{3,7},{4}} => {{1},{2,7},{3},{4,5,6}} => 13

{{1,5},{2,3},{4,7},{6}} => {{1,4},{2},{3,7},{5,6}} => {{1,6},{2},{3,4,7},{5}} => 10

{{1,5},{2,3},{4},{6,7}} => {{1,2},{3,7},{4},{5,6}} => {{1,2,6},{3},{4},{5,7}} => 11

{{1,5},{2,3},{4},{6},{7}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6},{2},{3},{4,7},{5}} => 5

{{1,6,7},{2,3,5},{4}} => {{1,2,7},{3,5,6},{4}} => {{1,2},{3,5},{4,6,7}} => 16

{{1,6},{2,3,5,7},{4}} => {{1,3,5,6},{2,7},{4}} => {{1},{2,3,7},{4,5,6}} => 17

{{1,6},{2,3,5},{4,7}} => {{1,4},{2,7},{3,5,6}} => {{1,5,7},{2,6},{3,4}} => 13

{{1,6},{2,3,5},{4},{7}} => {{1},{2,7},{3,5,6},{4}} => {{1},{2,5,7},{3,6},{4}} => 10

{{1,7},{2,3,5,6},{4}} => {{1,7},{2,3,5,6},{4}} => {{1,3,5},{2},{4,6,7}} => 15

{{1},{2,3,5,6,7},{4}} => {{1,2,3,5,6},{4},{7}} => {{1,2,3},{4,5,6},{7}} => 18

{{1},{2,3,5,6},{4,7}} => {{1,4},{2,3,5,6},{7}} => {{1,3,4,6},{2,5},{7}} => 15

{{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}} => {{1,3,5},{2},{4,6},{7}} => 12

{{1,7},{2,3,5},{4,6}} => {{1,7},{2,4},{3,5,6}} => {{1,5},{2,4},{3,6,7}} => 13

{{1},{2,3,5,7},{4,6}} => {{1,3,5,6},{2,4},{7}} => {{1,4,5,6},{2,3},{7}} => 17

{{1},{2,3,5},{4,6,7}} => {{1,2,4},{3,5,6},{7}} => {{1,2,5},{3,4,6},{7}} => 16

{{1},{2,3,5},{4,6},{7}} => {{1},{2,4},{3,5,6},{7}} => {{1,5},{2,4},{3,6},{7}} => 10

{{1,7},{2,3,5},{4},{6}} => {{1,7},{2},{3,5,6},{4}} => {{1},{2,5},{3,6,7},{4}} => 11

{{1},{2,3,5,7},{4},{6}} => {{1,3,5,6},{2},{4},{7}} => {{1},{2,3},{4,5,6},{7}} => 15

{{1},{2,3,5},{4,7},{6}} => {{1,4},{2},{3,5,6},{7}} => {{1,5},{2,6},{3,4},{7}} => 11

{{1},{2,3,5},{4},{6,7}} => {{1,2},{3,5,6},{4},{7}} => {{1,2},{3,5},{4,6},{7}} => 13

{{1},{2,3,5},{4},{6},{7}} => {{1},{2},{3,5,6},{4},{7}} => {{1},{2,5},{3,6},{4},{7}} => 7

{{1,6,7},{2,3},{4,5}} => {{1,2,7},{3,4},{5,6}} => {{1,2,4},{3,6,7},{5}} => 15

{{1,6},{2,3,7},{4,5}} => {{1,5,6},{2,7},{3,4}} => {{1,4,5,6},{2},{3,7}} => 15

{{1,6},{2,3},{4,5,7}} => {{1,3,4},{2,7},{5,6}} => {{1,6},{2,3,4},{5,7}} => 15

{{1,6},{2,3},{4,5},{7}} => {{1},{2,7},{3,4},{5,6}} => {{1,4},{2,6},{3},{5,7}} => 9

{{1,7},{2,3,6},{4,5}} => {{1,7},{2,5,6},{3,4}} => {{1,4,6,7},{2},{3,5}} => 14

{{1},{2,3,6,7},{4,5}} => {{1,2,5,6},{3,4},{7}} => {{1,2,4,5,6},{3},{7}} => 17

{{1},{2,3,6},{4,5,7}} => {{1,3,4},{2,5,6},{7}} => {{1,5},{2,3,4,6},{7}} => 16

{{1},{2,3,6},{4,5},{7}} => {{1},{2,5,6},{3,4},{7}} => {{1,4,6},{2},{3,5},{7}} => 11

{{1,7},{2,3},{4,5,6}} => {{1,7},{2,3,4},{5,6}} => {{1,3,6,7},{2,4},{5}} => 14

{{1},{2,3,7},{4,5,6}} => {{1,5,6},{2,3,4},{7}} => {{1,3},{2,4,5,6},{7}} => 16

{{1},{2,3},{4,5,6,7}} => {{1,2,3,4},{5,6},{7}} => {{1,2,3,4,6},{5},{7}} => 17

{{1},{2,3},{4,5,6},{7}} => {{1},{2,3,4},{5,6},{7}} => {{1,3,6},{2,4},{5},{7}} => 11

{{1,7},{2,3},{4,5},{6}} => {{1,7},{2},{3,4},{5,6}} => {{1,4},{2,6,7},{3},{5}} => 10

{{1},{2,3,7},{4,5},{6}} => {{1,5,6},{2},{3,4},{7}} => {{1,4,5,6},{2},{3},{7}} => 13

{{1},{2,3},{4,5,7},{6}} => {{1,3,4},{2},{5,6},{7}} => {{1,6},{2,3,4},{5},{7}} => 13

{{1},{2,3},{4,5},{6,7}} => {{1,2},{3,4},{5,6},{7}} => {{1,2,4},{3,6},{5},{7}} => 12

{{1},{2,3},{4,5},{6},{7}} => {{1},{2},{3,4},{5,6},{7}} => {{1,4},{2,6},{3},{5},{7}} => 6

{{1,6,7},{2,3},{4},{5}} => {{1,2,7},{3},{4},{5,6}} => {{1,2,6,7},{3},{4},{5}} => 12

{{1,6},{2,3,7},{4},{5}} => {{1,5,6},{2,7},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => 14

{{1,6},{2,3},{4,7},{5}} => {{1,4},{2,7},{3},{5,6}} => {{1,6},{2},{3,4},{5,7}} => 11

{{1,6},{2,3},{4},{5,7}} => {{1,3},{2,7},{4},{5,6}} => {{1,6},{2,3},{4},{5,7}} => 11

{{1,6},{2,3},{4},{5},{7}} => {{1},{2,7},{3},{4},{5,6}} => {{1,6},{2},{3},{4},{5,7}} => 6

{{1,7},{2,3,6},{4},{5}} => {{1,7},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6,7}} => 13

{{1},{2,3,6,7},{4},{5}} => {{1,2,5,6},{3},{4},{7}} => {{1,2},{3},{4,5,6},{7}} => 15

{{1},{2,3,6},{4,7},{5}} => {{1,4},{2,5,6},{3},{7}} => {{1},{2,5},{3,4,6},{7}} => 13

{{1},{2,3,6},{4},{5,7}} => {{1,3},{2,5,6},{4},{7}} => {{1},{2,3,5},{4,6},{7}} => 13

{{1},{2,3,6},{4},{5},{7}} => {{1},{2,5,6},{3},{4},{7}} => {{1},{2},{3,5},{4,6},{7}} => 9

{{1,7},{2,3},{4,6},{5}} => {{1,7},{2,4},{3},{5,6}} => {{1,6,7},{2,4},{3},{5}} => 11

{{1},{2,3,7},{4,6},{5}} => {{1,5,6},{2,4},{3},{7}} => {{1},{2,4,5,6},{3},{7}} => 14

{{1},{2,3},{4,6,7},{5}} => {{1,2,4},{3},{5,6},{7}} => {{1,2,6},{3,4},{5},{7}} => 13

{{1},{2,3},{4,6},{5,7}} => {{1,3},{2,4},{5,6},{7}} => {{1,4},{2,3,6},{5},{7}} => 12

{{1},{2,3},{4,6},{5},{7}} => {{1},{2,4},{3},{5,6},{7}} => {{1,6},{2,4},{3},{5},{7}} => 7

{{1,7},{2,3},{4},{5,6}} => {{1,7},{2,3},{4},{5,6}} => {{1,3},{2,6,7},{4},{5}} => 11

{{1},{2,3,7},{4},{5,6}} => {{1,5,6},{2,3},{4},{7}} => {{1,3},{2},{4,5,6},{7}} => 14

{{1},{2,3},{4,7},{5,6}} => {{1,4},{2,3},{5,6},{7}} => {{1,3,4},{2,6},{5},{7}} => 12

{{1},{2,3},{4},{5,6,7}} => {{1,2,3},{4},{5,6},{7}} => {{1,2,3,6},{4},{5},{7}} => 13

{{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}} => {{1,3},{2,6},{4},{5},{7}} => 7

{{1,7},{2,3},{4},{5},{6}} => {{1,7},{2},{3},{4},{5,6}} => {{1,6,7},{2},{3},{4},{5}} => 7

{{1},{2,3,7},{4},{5},{6}} => {{1,5,6},{2},{3},{4},{7}} => {{1},{2},{3},{4,5,6},{7}} => 11

{{1},{2,3},{4,7},{5},{6}} => {{1,4},{2},{3},{5,6},{7}} => {{1,6},{2},{3,4},{5},{7}} => 8

{{1},{2,3},{4},{5,7},{6}} => {{1,3},{2},{4},{5,6},{7}} => {{1,6},{2,3},{4},{5},{7}} => 8

{{1},{2,3},{4},{5},{6,7}} => {{1,2},{3},{4},{5,6},{7}} => {{1,2,6},{3},{4},{5},{7}} => 8

{{1},{2,3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5,6},{7}} => {{1,6},{2},{3},{4},{5},{7}} => 2

{{1,4,5,6,7},{2},{3}} => {{1,2,3,4,7},{5},{6}} => {{1,2,3,4},{5},{6,7}} => 18

{{1,4,5,6},{2,7},{3}} => {{1,6},{2,3,4,7},{5}} => {{1,3},{2,4,7},{5,6}} => 15

{{1,4,5,6},{2},{3,7}} => {{1,5},{2,3,4,7},{6}} => {{1,3},{2,4,5,7},{6}} => 15

{{1,4,5,6},{2},{3},{7}} => {{1},{2,3,4,7},{5},{6}} => {{1,3},{2,4},{5,7},{6}} => 12

{{1,4,5,7},{2,6},{3}} => {{1,3,4,7},{2,6},{5}} => {{1},{2,3,4,6,7},{5}} => 17

{{1,4,5},{2,6,7},{3}} => {{1,2,6},{3,4,7},{5}} => {{1,2,4,7},{3},{5,6}} => 16

{{1,4,5},{2,6},{3,7}} => {{1,5},{2,6},{3,4,7}} => {{1,4,5},{2,7},{3,6}} => 13

{{1,4,5},{2,6},{3},{7}} => {{1},{2,6},{3,4,7},{5}} => {{1,4,6},{2},{3,7},{5}} => 10

{{1,4,5,7},{2},{3,6}} => {{1,3,4,7},{2,5},{6}} => {{1,5},{2,3,4},{6,7}} => 17

{{1,4,5},{2,7},{3,6}} => {{1,6},{2,5},{3,4,7}} => {{1,4},{2,7},{3,5,6}} => 13

{{1,4,5},{2},{3,6,7}} => {{1,2,5},{3,4,7},{6}} => {{1,2,4,5,7},{3},{6}} => 16

{{1,4,5},{2},{3,6},{7}} => {{1},{2,5},{3,4,7},{6}} => {{1,4,7},{2},{3,5},{6}} => 10

{{1,4,5,7},{2},{3},{6}} => {{1,3,4,7},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7}} => 15

{{1,4,5},{2,7},{3},{6}} => {{1,6},{2},{3,4,7},{5}} => {{1,4},{2},{3,7},{5,6}} => 11

{{1,4,5},{2},{3,7},{6}} => {{1,5},{2},{3,4,7},{6}} => {{1,4,5},{2},{3,7},{6}} => 11

{{1,4,5},{2},{3},{6,7}} => {{1,2},{3,4,7},{5},{6}} => {{1,2,4},{3},{5,7},{6}} => 13

{{1,4,5},{2},{3},{6},{7}} => {{1},{2},{3,4,7},{5},{6}} => {{1,4,7},{2},{3},{5},{6}} => 7

{{1,4,6,7},{2,5},{3}} => {{1,2,4,7},{3,6},{5}} => {{1,2},{3,4,6,7},{5}} => 17

{{1,4,6},{2,5,7},{3}} => {{1,3,6},{2,4,7},{5}} => {{1,4,7},{2,3},{5,6}} => 16

{{1,4,6},{2,5},{3,7}} => {{1,5},{2,4,7},{3,6}} => {{1,6},{2,4,5,7},{3}} => 14

{{1,4,6},{2,5},{3},{7}} => {{1},{2,4,7},{3,6},{5}} => {{1},{2,4},{3,6},{5,7}} => 11

{{1,4,7},{2,5,6},{3}} => {{1,4,7},{2,3,6},{5}} => {{1,3,4,6,7},{2},{5}} => 16

{{1,4},{2,5,6,7},{3}} => {{1,2,3,6},{4,7},{5}} => {{1,2,3},{4,7},{5,6}} => 17

{{1,4},{2,5,6},{3,7}} => {{1,5},{2,3,6},{4,7}} => {{1,3,6},{2,7},{4,5}} => 14

{{1,4},{2,5,6},{3},{7}} => {{1},{2,3,6},{4,7},{5}} => {{1,3,7},{2},{4,6},{5}} => 11

{{1,4,7},{2,5},{3,6}} => {{1,4,7},{2,5},{3,6}} => {{1,6,7},{2,5},{3,4}} => 15

{{1,4},{2,5,7},{3,6}} => {{1,3,6},{2,5},{4,7}} => {{1,7},{2,3,5,6},{4}} => 15

{{1,4},{2,5},{3,6,7}} => {{1,2,5},{3,6},{4,7}} => {{1,2,7},{3,6},{4,5}} => 15

{{1,4},{2,5},{3,6},{7}} => {{1},{2,5},{3,6},{4,7}} => {{1,7},{2,6},{3,5},{4}} => 9

{{1,4,7},{2,5},{3},{6}} => {{1,4,7},{2},{3,6},{5}} => {{1},{2,6,7},{3,4},{5}} => 13

{{1,4},{2,5,7},{3},{6}} => {{1,3,6},{2},{4,7},{5}} => {{1},{2,3,7},{4},{5,6}} => 13

{{1,4},{2,5},{3,7},{6}} => {{1,5},{2},{3,6},{4,7}} => {{1,7},{2,6},{3},{4,5}} => 10

{{1,4},{2,5},{3},{6,7}} => {{1,2},{3,6},{4,7},{5}} => {{1,2},{3,7},{4,6},{5}} => 12

{{1,4},{2,5},{3},{6},{7}} => {{1},{2},{3,6},{4,7},{5}} => {{1},{2,7},{3,6},{4},{5}} => 6

{{1,4,6,7},{2},{3,5}} => {{1,2,4,7},{3,5},{6}} => {{1,2,5},{3,4},{6,7}} => 17

{{1,4,6},{2,7},{3,5}} => {{1,6},{2,4,7},{3,5}} => {{1,5,6},{2,4,7},{3}} => 14

{{1,4,6},{2},{3,5,7}} => {{1,3,5},{2,4,7},{6}} => {{1,4,5,7},{2,3},{6}} => 16

{{1,4,6},{2},{3,5},{7}} => {{1},{2,4,7},{3,5},{6}} => {{1,5,7},{2,4},{3},{6}} => 11

{{1,4,7},{2,6},{3,5}} => {{1,4,7},{2,6},{3,5}} => {{1,5},{2},{3,4,6,7}} => 15

{{1,4},{2,6,7},{3,5}} => {{1,2,6},{3,5},{4,7}} => {{1,2,7},{3,5,6},{4}} => 15

{{1,4},{2,6},{3,5,7}} => {{1,3,5},{2,6},{4,7}} => {{1,7},{2,3,6},{4,5}} => 15

{{1,4},{2,6},{3,5},{7}} => {{1},{2,6},{3,5},{4,7}} => {{1,7},{2,5},{3},{4,6}} => 9

{{1,4,7},{2},{3,5,6}} => {{1,4,7},{2,3,5},{6}} => {{1,3,4},{2,5},{6,7}} => 16

{{1,4},{2,7},{3,5,6}} => {{1,6},{2,3,5},{4,7}} => {{1,3,5,6},{2,7},{4}} => 14

{{1,4},{2},{3,5,6,7}} => {{1,2,3,5},{4,7},{6}} => {{1,2,3},{4,5,7},{6}} => 17

{{1,4},{2},{3,5,6},{7}} => {{1},{2,3,5},{4,7},{6}} => {{1,3,5},{2},{4,7},{6}} => 11

{{1,4,7},{2},{3,5},{6}} => {{1,4,7},{2},{3,5},{6}} => {{1,5},{2},{3,4},{6,7}} => 13

{{1,4},{2,7},{3,5},{6}} => {{1,6},{2},{3,5},{4,7}} => {{1,7},{2,5,6},{3},{4}} => 10

{{1,4},{2},{3,5,7},{6}} => {{1,3,5},{2},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}} => 13

{{1,4},{2},{3,5},{6,7}} => {{1,2},{3,5},{4,7},{6}} => {{1,2},{3,5},{4,7},{6}} => 12

{{1,4},{2},{3,5},{6},{7}} => {{1},{2},{3,5},{4,7},{6}} => {{1},{2,5},{3,7},{4},{6}} => 6

{{1,4,6,7},{2},{3},{5}} => {{1,2,4,7},{3},{5},{6}} => {{1,2},{3,4},{5},{6,7}} => 15

{{1,4,6},{2,7},{3},{5}} => {{1,6},{2,4,7},{3},{5}} => {{1},{2,4,7},{3},{5,6}} => 13

{{1,4,6},{2},{3,7},{5}} => {{1,5},{2,4,7},{3},{6}} => {{1},{2,4,5,7},{3},{6}} => 13

{{1,4,6},{2},{3},{5,7}} => {{1,3},{2,4,7},{5},{6}} => {{1,4},{2,3},{5,7},{6}} => 13

{{1,4,6},{2},{3},{5},{7}} => {{1},{2,4,7},{3},{5},{6}} => {{1},{2,4},{3},{5,7},{6}} => 9

{{1,4,7},{2,6},{3},{5}} => {{1,4,7},{2,6},{3},{5}} => {{1},{2},{3,4,6,7},{5}} => 14

{{1,4},{2,6,7},{3},{5}} => {{1,2,6},{3},{4,7},{5}} => {{1,2},{3,7},{4},{5,6}} => 13

{{1,4},{2,6},{3,7},{5}} => {{1,5},{2,6},{3},{4,7}} => {{1,7},{2},{3,6},{4,5}} => 11

{{1,4},{2,6},{3},{5,7}} => {{1,3},{2,6},{4,7},{5}} => {{1},{2,3,7},{4,6},{5}} => 12

{{1,4},{2,6},{3},{5},{7}} => {{1},{2,6},{3},{4,7},{5}} => {{1},{2,7},{3},{4,6},{5}} => 7

{{1,4,7},{2},{3,6},{5}} => {{1,4,7},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6,7}} => 14

{{1,4},{2,7},{3,6},{5}} => {{1,6},{2,5},{3},{4,7}} => {{1,7},{2},{3,5,6},{4}} => 11

{{1,4},{2},{3,6,7},{5}} => {{1,2,5},{3},{4,7},{6}} => {{1,2},{3,7},{4,5},{6}} => 13

{{1,4},{2},{3,6},{5,7}} => {{1,3},{2,5},{4,7},{6}} => {{1},{2,3,5},{4,7},{6}} => 12

{{1,4},{2},{3,6},{5},{7}} => {{1},{2,5},{3},{4,7},{6}} => {{1},{2,7},{3,5},{4},{6}} => 7

{{1,4,7},{2},{3},{5,6}} => {{1,4,7},{2,3},{5},{6}} => {{1,3,4},{2},{5},{6,7}} => 14

{{1,4},{2,7},{3},{5,6}} => {{1,6},{2,3},{4,7},{5}} => {{1,3,7},{2},{4},{5,6}} => 12

{{1,4},{2},{3,7},{5,6}} => {{1,5},{2,3},{4,7},{6}} => {{1,3,7},{2},{4,5},{6}} => 12

{{1,4},{2},{3},{5,6,7}} => {{1,2,3},{4,7},{5},{6}} => {{1,2,3},{4},{5,7},{6}} => 14

{{1,4},{2},{3},{5,6},{7}} => {{1},{2,3},{4,7},{5},{6}} => {{1,3},{2},{4,7},{5},{6}} => 8

{{1,4,7},{2},{3},{5},{6}} => {{1,4,7},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6,7}} => 11

{{1,4},{2,7},{3},{5},{6}} => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => 8

{{1,4},{2},{3,7},{5},{6}} => {{1,5},{2},{3},{4,7},{6}} => {{1},{2,7},{3},{4,5},{6}} => 8

{{1,4},{2},{3},{5,7},{6}} => {{1,3},{2},{4,7},{5},{6}} => {{1},{2,3},{4,7},{5},{6}} => 9

{{1,4},{2},{3},{5},{6,7}} => {{1,2},{3},{4,7},{5},{6}} => {{1,2},{3},{4,7},{5},{6}} => 9

{{1,4},{2},{3},{5},{6},{7}} => {{1},{2},{3},{4,7},{5},{6}} => {{1},{2},{3,7},{4},{5},{6}} => 3

{{1,5,6,7},{2,4},{3}} => {{1,2,3,7},{4,6},{5}} => {{1,2,3},{4,6,7},{5}} => 17

{{1,5,6},{2,4,7},{3}} => {{1,4,6},{2,3,7},{5}} => {{1,3,4,7},{2},{5,6}} => 16

{{1,5,6},{2,4},{3,7}} => {{1,5},{2,3,7},{4,6}} => {{1,3},{2,6},{4,5,7}} => 14

{{1,5,6},{2,4},{3},{7}} => {{1},{2,3,7},{4,6},{5}} => {{1,3,6},{2},{4},{5,7}} => 11

{{1,5,7},{2,4,6},{3}} => {{1,3,7},{2,4,6},{5}} => {{1,4,6,7},{2,3},{5}} => 16

{{1,5},{2,4,6,7},{3}} => {{1,2,4,6},{3,7},{5}} => {{1,2},{3,4,7},{5,6}} => 17

{{1,5},{2,4,6},{3,7}} => {{1,5},{2,4,6},{3,7}} => {{1,7},{2,4,5},{3,6}} => 14

{{1,5},{2,4,6},{3},{7}} => {{1},{2,4,6},{3,7},{5}} => {{1},{2,4,6},{3,7},{5}} => 11

{{1,5,7},{2,4},{3,6}} => {{1,3,7},{2,5},{4,6}} => {{1,6,7},{2,3,5},{4}} => 15

{{1,5},{2,4,7},{3,6}} => {{1,4,6},{2,5},{3,7}} => {{1,7},{2,5,6},{3,4}} => 15

{{1,5},{2,4},{3,6,7}} => {{1,2,5},{3,7},{4,6}} => {{1,2,6},{3},{4,5,7}} => 15

{{1,5},{2,4},{3,6},{7}} => {{1},{2,5},{3,7},{4,6}} => {{1,6},{2},{3,5},{4,7}} => 9

{{1,5,7},{2,4},{3},{6}} => {{1,3,7},{2},{4,6},{5}} => {{1},{2,3,6,7},{4},{5}} => 13

{{1,5},{2,4,7},{3},{6}} => {{1,4,6},{2},{3,7},{5}} => {{1},{2,7},{3,4},{5,6}} => 13

{{1,5},{2,4},{3,7},{6}} => {{1,5},{2},{3,7},{4,6}} => {{1,6},{2},{3,7},{4,5}} => 10

{{1,5},{2,4},{3},{6,7}} => {{1,2},{3,7},{4,6},{5}} => {{1,2},{3,6},{4},{5,7}} => 12

{{1,5},{2,4},{3},{6},{7}} => {{1},{2},{3,7},{4,6},{5}} => {{1},{2,6},{3},{4,7},{5}} => 6

{{1,6,7},{2,4,5},{3}} => {{1,2,7},{3,4,6},{5}} => {{1,2,4,6,7},{3},{5}} => 16

{{1,6},{2,4,5,7},{3}} => {{1,3,4,6},{2,7},{5}} => {{1},{2,3,4,7},{5,6}} => 17

{{1,6},{2,4,5},{3,7}} => {{1,5},{2,7},{3,4,6}} => {{1,4,5,7},{2,6},{3}} => 13

{{1,6},{2,4,5},{3},{7}} => {{1},{2,7},{3,4,6},{5}} => {{1,4},{2},{3,6},{5,7}} => 10

{{1,7},{2,4,5,6},{3}} => {{1,7},{2,3,4,6},{5}} => {{1,3},{2,4,6,7},{5}} => 15

{{1},{2,4,5,6,7},{3}} => {{1,2,3,4,6},{5},{7}} => {{1,2,3,4},{5,6},{7}} => 18

{{1},{2,4,5,6},{3,7}} => {{1,5},{2,3,4,6},{7}} => {{1,3,6},{2,4,5},{7}} => 15

{{1},{2,4,5,6},{3},{7}} => {{1},{2,3,4,6},{5},{7}} => {{1,3},{2,4,6},{5},{7}} => 12

{{1,7},{2,4,5},{3,6}} => {{1,7},{2,5},{3,4,6}} => {{1,4},{2,6,7},{3,5}} => 13

{{1},{2,4,5,7},{3,6}} => {{1,3,4,6},{2,5},{7}} => {{1,5,6},{2,3,4},{7}} => 17

{{1},{2,4,5},{3,6,7}} => {{1,2,5},{3,4,6},{7}} => {{1,2,4,5},{3,6},{7}} => 16

{{1},{2,4,5},{3,6},{7}} => {{1},{2,5},{3,4,6},{7}} => {{1,4},{2,6},{3,5},{7}} => 10

{{1,7},{2,4,5},{3},{6}} => {{1,7},{2},{3,4,6},{5}} => {{1,4},{2},{3,6,7},{5}} => 11

{{1},{2,4,5,7},{3},{6}} => {{1,3,4,6},{2},{5},{7}} => {{1},{2,3,4},{5,6},{7}} => 15

{{1},{2,4,5},{3,7},{6}} => {{1,5},{2},{3,4,6},{7}} => {{1,4,5},{2,6},{3},{7}} => 11

{{1},{2,4,5},{3},{6,7}} => {{1,2},{3,4,6},{5},{7}} => {{1,2,4,6},{3},{5},{7}} => 13

{{1},{2,4,5},{3},{6},{7}} => {{1},{2},{3,4,6},{5},{7}} => {{1,4},{2},{3,6},{5},{7}} => 7

{{1,6,7},{2,4},{3,5}} => {{1,2,7},{3,5},{4,6}} => {{1,2,6,7},{3,5},{4}} => 15

{{1,6},{2,4,7},{3,5}} => {{1,4,6},{2,7},{3,5}} => {{1,5,6},{2},{3,4,7}} => 15

{{1,6},{2,4},{3,5,7}} => {{1,3,5},{2,7},{4,6}} => {{1,6},{2,3},{4,5,7}} => 15

{{1,6},{2,4},{3,5},{7}} => {{1},{2,7},{3,5},{4,6}} => {{1,6},{2,5,7},{3},{4}} => 9

{{1,7},{2,4,6},{3,5}} => {{1,7},{2,4,6},{3,5}} => {{1,5},{2,4,6,7},{3}} => 14

{{1},{2,4,6,7},{3,5}} => {{1,2,4,6},{3,5},{7}} => {{1,2,5,6},{3,4},{7}} => 17

{{1},{2,4,6},{3,5,7}} => {{1,3,5},{2,4,6},{7}} => {{1,4,5},{2,3,6},{7}} => 16

{{1},{2,4,6},{3,5},{7}} => {{1},{2,4,6},{3,5},{7}} => {{1,5},{2,4,6},{3},{7}} => 11

{{1,7},{2,4},{3,5,6}} => {{1,7},{2,3,5},{4,6}} => {{1,3,5},{2,6,7},{4}} => 14

{{1},{2,4,7},{3,5,6}} => {{1,4,6},{2,3,5},{7}} => {{1,3,4},{2,5,6},{7}} => 16

{{1},{2,4},{3,5,6,7}} => {{1,2,3,5},{4,6},{7}} => {{1,2,3,6},{4,5},{7}} => 17

{{1},{2,4},{3,5,6},{7}} => {{1},{2,3,5},{4,6},{7}} => {{1,3,5},{2,6},{4},{7}} => 11

{{1,7},{2,4},{3,5},{6}} => {{1,7},{2},{3,5},{4,6}} => {{1,6,7},{2,5},{3},{4}} => 10

{{1},{2,4,7},{3,5},{6}} => {{1,4,6},{2},{3,5},{7}} => {{1,5,6},{2},{3,4},{7}} => 13

{{1},{2,4},{3,5,7},{6}} => {{1,3,5},{2},{4,6},{7}} => {{1,6},{2,3},{4,5},{7}} => 13

{{1},{2,4},{3,5},{6,7}} => {{1,2},{3,5},{4,6},{7}} => {{1,2,6},{3,5},{4},{7}} => 12

{{1},{2,4},{3,5},{6},{7}} => {{1},{2},{3,5},{4,6},{7}} => {{1,6},{2,5},{3},{4},{7}} => 6

{{1,6,7},{2,4},{3},{5}} => {{1,2,7},{3},{4,6},{5}} => {{1,2},{3,6,7},{4},{5}} => 13

{{1,6},{2,4,7},{3},{5}} => {{1,4,6},{2,7},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => 14

{{1,6},{2,4},{3,7},{5}} => {{1,5},{2,7},{3},{4,6}} => {{1,6},{2},{3},{4,5,7}} => 11

{{1,6},{2,4},{3},{5,7}} => {{1,3},{2,7},{4,6},{5}} => {{1},{2,3,6},{4},{5,7}} => 12

{{1,6},{2,4},{3},{5},{7}} => {{1},{2,7},{3},{4,6},{5}} => {{1},{2,6},{3},{4},{5,7}} => 7

{{1,7},{2,4,6},{3},{5}} => {{1,7},{2,4,6},{3},{5}} => {{1},{2,4,6,7},{3},{5}} => 13

{{1},{2,4,6,7},{3},{5}} => {{1,2,4,6},{3},{5},{7}} => {{1,2},{3,4},{5,6},{7}} => 15

{{1},{2,4,6},{3,7},{5}} => {{1,5},{2,4,6},{3},{7}} => {{1},{2,4,5},{3,6},{7}} => 13

{{1},{2,4,6},{3},{5,7}} => {{1,3},{2,4,6},{5},{7}} => {{1,4,6},{2,3},{5},{7}} => 13

{{1},{2,4,6},{3},{5},{7}} => {{1},{2,4,6},{3},{5},{7}} => {{1},{2,4,6},{3},{5},{7}} => 9

{{1,7},{2,4},{3,6},{5}} => {{1,7},{2,5},{3},{4,6}} => {{1,6,7},{2},{3,5},{4}} => 11

{{1},{2,4,7},{3,6},{5}} => {{1,4,6},{2,5},{3},{7}} => {{1},{2,5,6},{3,4},{7}} => 14

{{1},{2,4},{3,6,7},{5}} => {{1,2,5},{3},{4,6},{7}} => {{1,2,6},{3},{4,5},{7}} => 13

{{1},{2,4},{3,6},{5,7}} => {{1,3},{2,5},{4,6},{7}} => {{1,6},{2,3,5},{4},{7}} => 12

{{1},{2,4},{3,6},{5},{7}} => {{1},{2,5},{3},{4,6},{7}} => {{1,6},{2},{3,5},{4},{7}} => 7

{{1,7},{2,4},{3},{5,6}} => {{1,7},{2,3},{4,6},{5}} => {{1,3,6,7},{2},{4},{5}} => 12

{{1},{2,4,7},{3},{5,6}} => {{1,4,6},{2,3},{5},{7}} => {{1,3,4},{2},{5,6},{7}} => 14

{{1},{2,4},{3,7},{5,6}} => {{1,5},{2,3},{4,6},{7}} => {{1,3},{2,6},{4,5},{7}} => 12

{{1},{2,4},{3},{5,6,7}} => {{1,2,3},{4,6},{5},{7}} => {{1,2,3},{4,6},{5},{7}} => 14

{{1},{2,4},{3},{5,6},{7}} => {{1},{2,3},{4,6},{5},{7}} => {{1,3,6},{2},{4},{5},{7}} => 8

{{1,7},{2,4},{3},{5},{6}} => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => 8

{{1},{2,4,7},{3},{5},{6}} => {{1,4,6},{2},{3},{5},{7}} => {{1},{2},{3,4},{5,6},{7}} => 11

{{1},{2,4},{3,7},{5},{6}} => {{1,5},{2},{3},{4,6},{7}} => {{1,6},{2},{3},{4,5},{7}} => 8

{{1},{2,4},{3},{5,7},{6}} => {{1,3},{2},{4,6},{5},{7}} => {{1},{2,3,6},{4},{5},{7}} => 9

{{1},{2,4},{3},{5},{6,7}} => {{1,2},{3},{4,6},{5},{7}} => {{1,2},{3,6},{4},{5},{7}} => 9

{{1},{2,4},{3},{5},{6},{7}} => {{1},{2},{3},{4,6},{5},{7}} => {{1},{2,6},{3},{4},{5},{7}} => 3

{{1,5,6,7},{2},{3,4}} => {{1,2,3,7},{4,5},{6}} => {{1,2,3,5},{4},{6,7}} => 17

{{1,5,6},{2,7},{3,4}} => {{1,6},{2,3,7},{4,5}} => {{1,3},{2,5,6},{4,7}} => 14

{{1,5,6},{2},{3,4,7}} => {{1,4,5},{2,3,7},{6}} => {{1,3,4,5,7},{2},{6}} => 16

{{1,5,6},{2},{3,4},{7}} => {{1},{2,3,7},{4,5},{6}} => {{1,3},{2,5,7},{4},{6}} => 11

{{1,5,7},{2,6},{3,4}} => {{1,3,7},{2,6},{4,5}} => {{1,5},{2,3},{4,6,7}} => 15

{{1,5},{2,6,7},{3,4}} => {{1,2,6},{3,7},{4,5}} => {{1,2,5,6},{3},{4,7}} => 15

{{1,5},{2,6},{3,4,7}} => {{1,4,5},{2,6},{3,7}} => {{1,7},{2,6},{3,4,5}} => 15

{{1,5},{2,6},{3,4},{7}} => {{1},{2,6},{3,7},{4,5}} => {{1,5},{2},{3,7},{4,6}} => 9

{{1,5,7},{2},{3,4,6}} => {{1,3,7},{2,4,5},{6}} => {{1,4},{2,3,5},{6,7}} => 16

{{1,5},{2,7},{3,4,6}} => {{1,6},{2,4,5},{3,7}} => {{1,7},{2,4},{3,5,6}} => 14

{{1,5},{2},{3,4,6,7}} => {{1,2,4,5},{3,7},{6}} => {{1,2},{3,4,5,7},{6}} => 17

{{1,5},{2},{3,4,6},{7}} => {{1},{2,4,5},{3,7},{6}} => {{1},{2,4,7},{3,5},{6}} => 11

{{1,5,7},{2},{3,4},{6}} => {{1,3,7},{2},{4,5},{6}} => {{1,5},{2,3},{4},{6,7}} => 13

{{1,5},{2,7},{3,4},{6}} => {{1,6},{2},{3,7},{4,5}} => {{1,5,6},{2},{3,7},{4}} => 10

{{1,5},{2},{3,4,7},{6}} => {{1,4,5},{2},{3,7},{6}} => {{1},{2,7},{3,4,5},{6}} => 13

{{1,5},{2},{3,4},{6,7}} => {{1,2},{3,7},{4,5},{6}} => {{1,2,5,7},{3},{4},{6}} => 12

{{1,5},{2},{3,4},{6},{7}} => {{1},{2},{3,7},{4,5},{6}} => {{1,5},{2},{3},{4,7},{6}} => 6

{{1,6,7},{2,5},{3,4}} => {{1,2,7},{3,6},{4,5}} => {{1,2,5},{3},{4,6,7}} => 15

{{1,6},{2,5,7},{3,4}} => {{1,3,6},{2,7},{4,5}} => {{1,5,6},{2,3},{4,7}} => 15

{{1,6},{2,5},{3,4,7}} => {{1,4,5},{2,7},{3,6}} => {{1,6},{2},{3,4,5,7}} => 15

{{1,6},{2,5},{3,4},{7}} => {{1},{2,7},{3,6},{4,5}} => {{1,5,7},{2},{3,6},{4}} => 9

{{1,7},{2,5,6},{3,4}} => {{1,7},{2,3,6},{4,5}} => {{1,3},{2,5},{4,6,7}} => 14

{{1},{2,5,6,7},{3,4}} => {{1,2,3,6},{4,5},{7}} => {{1,2,3,5,6},{4},{7}} => 17

{{1},{2,5,6},{3,4,7}} => {{1,4,5},{2,3,6},{7}} => {{1,3,4,5},{2,6},{7}} => 16

{{1},{2,5,6},{3,4},{7}} => {{1},{2,3,6},{4,5},{7}} => {{1,3},{2,5},{4,6},{7}} => 11

{{1,7},{2,5},{3,4,6}} => {{1,7},{2,4,5},{3,6}} => {{1,6,7},{2,4},{3,5}} => 14

{{1},{2,5,7},{3,4,6}} => {{1,3,6},{2,4,5},{7}} => {{1,4},{2,3,5,6},{7}} => 16

{{1},{2,5},{3,4,6,7}} => {{1,2,4,5},{3,6},{7}} => {{1,2,6},{3,4,5},{7}} => 17

{{1},{2,5},{3,4,6},{7}} => {{1},{2,4,5},{3,6},{7}} => {{1,6},{2,4},{3,5},{7}} => 11

{{1,7},{2,5},{3,4},{6}} => {{1,7},{2},{3,6},{4,5}} => {{1,5},{2},{3,6,7},{4}} => 10

{{1},{2,5,7},{3,4},{6}} => {{1,3,6},{2},{4,5},{7}} => {{1,5,6},{2,3},{4},{7}} => 13

{{1},{2,5},{3,4,7},{6}} => {{1,4,5},{2},{3,6},{7}} => {{1,6},{2},{3,4,5},{7}} => 13

{{1},{2,5},{3,4},{6,7}} => {{1,2},{3,6},{4,5},{7}} => {{1,2,5},{3},{4,6},{7}} => 12

{{1},{2,5},{3,4},{6},{7}} => {{1},{2},{3,6},{4,5},{7}} => {{1,5},{2},{3,6},{4},{7}} => 6

{{1,6,7},{2},{3,4,5}} => {{1,2,7},{3,4,5},{6}} => {{1,2,4},{3,5},{6,7}} => 16

{{1,6},{2,7},{3,4,5}} => {{1,6},{2,7},{3,4,5}} => {{1,4,7},{2,5,6},{3}} => 13

{{1,6},{2},{3,4,5,7}} => {{1,3,4,5},{2,7},{6}} => {{1},{2,3,4,5,7},{6}} => 17

{{1,6},{2},{3,4,5},{7}} => {{1},{2,7},{3,4,5},{6}} => {{1,4},{2,5,7},{3},{6}} => 10

{{1,7},{2,6},{3,4,5}} => {{1,7},{2,6},{3,4,5}} => {{1,4,6,7},{2,5},{3}} => 13

{{1},{2,6,7},{3,4,5}} => {{1,2,6},{3,4,5},{7}} => {{1,2,4},{3,5,6},{7}} => 16

{{1},{2,6},{3,4,5,7}} => {{1,3,4,5},{2,6},{7}} => {{1,6},{2,3,4,5},{7}} => 17

{{1},{2,6},{3,4,5},{7}} => {{1},{2,6},{3,4,5},{7}} => {{1,4,6},{2,5},{3},{7}} => 10

{{1,7},{2},{3,4,5,6}} => {{1,7},{2,3,4,5},{6}} => {{1,3,5},{2,4},{6,7}} => 15

{{1},{2,7},{3,4,5,6}} => {{1,6},{2,3,4,5},{7}} => {{1,3,5,6},{2,4},{7}} => 15

{{1},{2},{3,4,5,6,7}} => {{1,2,3,4,5},{6},{7}} => {{1,2,3,4,5},{6},{7}} => 18

{{1},{2},{3,4,5,6},{7}} => {{1},{2,3,4,5},{6},{7}} => {{1,3,5},{2,4},{6},{7}} => 12

{{1,7},{2},{3,4,5},{6}} => {{1,7},{2},{3,4,5},{6}} => {{1,4},{2,5},{3},{6,7}} => 11

{{1},{2,7},{3,4,5},{6}} => {{1,6},{2},{3,4,5},{7}} => {{1,4},{2,5,6},{3},{7}} => 11

{{1},{2},{3,4,5,7},{6}} => {{1,3,4,5},{2},{6},{7}} => {{1},{2,3,4,5},{6},{7}} => 15

{{1},{2},{3,4,5},{6,7}} => {{1,2},{3,4,5},{6},{7}} => {{1,2,4},{3,5},{6},{7}} => 13

{{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}} => {{1,4},{2,5},{3},{6},{7}} => 7

{{1,6,7},{2},{3,4},{5}} => {{1,2,7},{3},{4,5},{6}} => {{1,2,5},{3},{4},{6,7}} => 13

{{1,6},{2,7},{3,4},{5}} => {{1,6},{2,7},{3},{4,5}} => {{1,5,6},{2},{3},{4,7}} => 11

{{1,6},{2},{3,4,7},{5}} => {{1,4,5},{2,7},{3},{6}} => {{1},{2},{3,4,5,7},{6}} => 14

{{1,6},{2},{3,4},{5,7}} => {{1,3},{2,7},{4,5},{6}} => {{1,5,7},{2,3},{4},{6}} => 12

{{1,6},{2},{3,4},{5},{7}} => {{1},{2,7},{3},{4,5},{6}} => {{1,5,7},{2},{3},{4},{6}} => 7

{{1,7},{2,6},{3,4},{5}} => {{1,7},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6,7}} => 11

{{1},{2,6,7},{3,4},{5}} => {{1,2,6},{3},{4,5},{7}} => {{1,2,5,6},{3},{4},{7}} => 13

{{1},{2,6},{3,4,7},{5}} => {{1,4,5},{2,6},{3},{7}} => {{1},{2,6},{3,4,5},{7}} => 14

{{1},{2,6},{3,4},{5,7}} => {{1,3},{2,6},{4,5},{7}} => {{1,5},{2,3},{4,6},{7}} => 12

{{1},{2,6},{3,4},{5},{7}} => {{1},{2,6},{3},{4,5},{7}} => {{1,5},{2},{3},{4,6},{7}} => 7

{{1,7},{2},{3,4,6},{5}} => {{1,7},{2,4,5},{3},{6}} => {{1},{2,4},{3,5},{6,7}} => 13

{{1},{2,7},{3,4,6},{5}} => {{1,6},{2,4,5},{3},{7}} => {{1},{2,4},{3,5,6},{7}} => 13

{{1},{2},{3,4,6,7},{5}} => {{1,2,4,5},{3},{6},{7}} => {{1,2},{3,4,5},{6},{7}} => 15

{{1},{2},{3,4,6},{5,7}} => {{1,3},{2,4,5},{6},{7}} => {{1,4},{2,3,5},{6},{7}} => 13

{{1},{2},{3,4,6},{5},{7}} => {{1},{2,4,5},{3},{6},{7}} => {{1},{2,4},{3,5},{6},{7}} => 9

{{1,7},{2},{3,4},{5,6}} => {{1,7},{2,3},{4,5},{6}} => {{1,3},{2,5},{4},{6,7}} => 12

{{1},{2,7},{3,4},{5,6}} => {{1,6},{2,3},{4,5},{7}} => {{1,3},{2,5,6},{4},{7}} => 12

{{1},{2},{3,4,7},{5,6}} => {{1,4,5},{2,3},{6},{7}} => {{1,3,4,5},{2},{6},{7}} => 14

{{1},{2},{3,4},{5,6,7}} => {{1,2,3},{4,5},{6},{7}} => {{1,2,3,5},{4},{6},{7}} => 14

{{1},{2},{3,4},{5,6},{7}} => {{1},{2,3},{4,5},{6},{7}} => {{1,3},{2,5},{4},{6},{7}} => 8

{{1,7},{2},{3,4},{5},{6}} => {{1,7},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4},{6,7}} => 8

{{1},{2,7},{3,4},{5},{6}} => {{1,6},{2},{3},{4,5},{7}} => {{1,5,6},{2},{3},{4},{7}} => 8

{{1},{2},{3,4,7},{5},{6}} => {{1,4,5},{2},{3},{6},{7}} => {{1},{2},{3,4,5},{6},{7}} => 11

{{1},{2},{3,4},{5,7},{6}} => {{1,3},{2},{4,5},{6},{7}} => {{1,5},{2,3},{4},{6},{7}} => 9

{{1},{2},{3,4},{5},{6,7}} => {{1,2},{3},{4,5},{6},{7}} => {{1,2,5},{3},{4},{6},{7}} => 9

{{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}} => {{1,5},{2},{3},{4},{6},{7}} => 3

{{1,5,6,7},{2},{3},{4}} => {{1,2,3,7},{4},{5},{6}} => {{1,2,3},{4},{5},{6,7}} => 15

{{1,5,6},{2,7},{3},{4}} => {{1,6},{2,3,7},{4},{5}} => {{1,3},{2},{4,7},{5,6}} => 13

{{1,5,6},{2},{3,7},{4}} => {{1,5},{2,3,7},{4},{6}} => {{1,3},{2},{4,5,7},{6}} => 13

{{1,5,6},{2},{3},{4,7}} => {{1,4},{2,3,7},{5},{6}} => {{1,3,4},{2},{5,7},{6}} => 13

{{1,5,6},{2},{3},{4},{7}} => {{1},{2,3,7},{4},{5},{6}} => {{1,3},{2},{4},{5,7},{6}} => 9

{{1,5,7},{2,6},{3},{4}} => {{1,3,7},{2,6},{4},{5}} => {{1},{2,3},{4,6,7},{5}} => 14

{{1,5},{2,6,7},{3},{4}} => {{1,2,6},{3,7},{4},{5}} => {{1,2},{3},{4,7},{5,6}} => 14

{{1,5},{2,6},{3,7},{4}} => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => 12

{{1,5},{2,6},{3},{4,7}} => {{1,4},{2,6},{3,7},{5}} => {{1},{2,7},{3,4,6},{5}} => 12

{{1,5},{2,6},{3},{4},{7}} => {{1},{2,6},{3,7},{4},{5}} => {{1},{2},{3,7},{4,6},{5}} => 8

{{1,5,7},{2},{3,6},{4}} => {{1,3,7},{2,5},{4},{6}} => {{1},{2,3,5},{4},{6,7}} => 14

{{1,5},{2,7},{3,6},{4}} => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => 12

{{1,5},{2},{3,6,7},{4}} => {{1,2,5},{3,7},{4},{6}} => {{1,2},{3},{4,5,7},{6}} => 14

{{1,5},{2},{3,6},{4,7}} => {{1,4},{2,5},{3,7},{6}} => {{1},{2,5},{3,4,7},{6}} => 12

{{1,5},{2},{3,6},{4},{7}} => {{1},{2,5},{3,7},{4},{6}} => {{1},{2},{3,5},{4,7},{6}} => 8

{{1,5,7},{2},{3},{4,6}} => {{1,3,7},{2,4},{5},{6}} => {{1,4},{2,3},{5},{6,7}} => 14

{{1,5},{2,7},{3},{4,6}} => {{1,6},{2,4},{3,7},{5}} => {{1},{2,4},{3,7},{5,6}} => 12

{{1,5},{2},{3,7},{4,6}} => {{1,5},{2,4},{3,7},{6}} => {{1},{2,4,5},{3,7},{6}} => 12

{{1,5},{2},{3},{4,6,7}} => {{1,2,4},{3,7},{5},{6}} => {{1,2},{3,4},{5,7},{6}} => 14

{{1,5},{2},{3},{4,6},{7}} => {{1},{2,4},{3,7},{5},{6}} => {{1},{2,4,7},{3},{5},{6}} => 8

{{1,5,7},{2},{3},{4},{6}} => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6,7}} => 11

{{1,5},{2,7},{3},{4},{6}} => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => 9

{{1,5},{2},{3,7},{4},{6}} => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => 9

{{1,5},{2},{3},{4,7},{6}} => {{1,4},{2},{3,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}} => 9

{{1,5},{2},{3},{4},{6,7}} => {{1,2},{3,7},{4},{5},{6}} => {{1,2},{3},{4},{5,7},{6}} => 10

{{1,5},{2},{3},{4},{6},{7}} => {{1},{2},{3,7},{4},{5},{6}} => {{1},{2},{3},{4,7},{5},{6}} => 4

{{1,6,7},{2,5},{3},{4}} => {{1,2,7},{3,6},{4},{5}} => {{1,2},{3},{4,6,7},{5}} => 14

{{1,6},{2,5,7},{3},{4}} => {{1,3,6},{2,7},{4},{5}} => {{1},{2,3},{4,7},{5,6}} => 14

{{1,6},{2,5},{3,7},{4}} => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => 12

{{1,6},{2,5},{3},{4,7}} => {{1,4},{2,7},{3,6},{5}} => {{1},{2,6},{3,4},{5,7}} => 12

{{1,6},{2,5},{3},{4},{7}} => {{1},{2,7},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5,7}} => 8

{{1,7},{2,5,6},{3},{4}} => {{1,7},{2,3,6},{4},{5}} => {{1,3},{2},{4,6,7},{5}} => 13

{{1},{2,5,6,7},{3},{4}} => {{1,2,3,6},{4},{5},{7}} => {{1,2,3},{4},{5,6},{7}} => 15

{{1},{2,5,6},{3,7},{4}} => {{1,5},{2,3,6},{4},{7}} => {{1,3,6},{2},{4,5},{7}} => 13

{{1},{2,5,6},{3},{4,7}} => {{1,4},{2,3,6},{5},{7}} => {{1,3,4,6},{2},{5},{7}} => 13

{{1},{2,5,6},{3},{4},{7}} => {{1},{2,3,6},{4},{5},{7}} => {{1,3},{2},{4,6},{5},{7}} => 9

{{1,7},{2,5},{3,6},{4}} => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => 12

{{1},{2,5,7},{3,6},{4}} => {{1,3,6},{2,5},{4},{7}} => {{1},{2,3,5,6},{4},{7}} => 14

{{1},{2,5},{3,6,7},{4}} => {{1,2,5},{3,6},{4},{7}} => {{1,2},{3,6},{4,5},{7}} => 14

{{1},{2,5},{3,6},{4,7}} => {{1,4},{2,5},{3,6},{7}} => {{1,6},{2,5},{3,4},{7}} => 12

{{1},{2,5},{3,6},{4},{7}} => {{1},{2,5},{3,6},{4},{7}} => {{1},{2,6},{3,5},{4},{7}} => 8

{{1,7},{2,5},{3},{4,6}} => {{1,7},{2,4},{3,6},{5}} => {{1},{2,4},{3,6,7},{5}} => 12

{{1},{2,5,7},{3},{4,6}} => {{1,3,6},{2,4},{5},{7}} => {{1,4},{2,3},{5,6},{7}} => 14

{{1},{2,5},{3,7},{4,6}} => {{1,5},{2,4},{3,6},{7}} => {{1,6},{2,4,5},{3},{7}} => 12

{{1},{2,5},{3},{4,6,7}} => {{1,2,4},{3,6},{5},{7}} => {{1,2},{3,4,6},{5},{7}} => 14

{{1},{2,5},{3},{4,6},{7}} => {{1},{2,4},{3,6},{5},{7}} => {{1},{2,4},{3,6},{5},{7}} => 8

{{1,7},{2,5},{3},{4},{6}} => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => 9

{{1},{2,5,7},{3},{4},{6}} => {{1,3,6},{2},{4},{5},{7}} => {{1},{2,3},{4},{5,6},{7}} => 11

{{1},{2,5},{3,7},{4},{6}} => {{1,5},{2},{3,6},{4},{7}} => {{1},{2,6},{3},{4,5},{7}} => 9

{{1},{2,5},{3},{4,7},{6}} => {{1,4},{2},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}} => 9

{{1},{2,5},{3},{4},{6,7}} => {{1,2},{3,6},{4},{5},{7}} => {{1,2},{3},{4,6},{5},{7}} => 10

{{1},{2,5},{3},{4},{6},{7}} => {{1},{2},{3,6},{4},{5},{7}} => {{1},{2},{3,6},{4},{5},{7}} => 4

{{1,6,7},{2},{3,5},{4}} => {{1,2,7},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6,7}} => 14

{{1,6},{2,7},{3,5},{4}} => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => 12

{{1,6},{2},{3,5,7},{4}} => {{1,3,5},{2,7},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => 14

{{1,6},{2},{3,5},{4,7}} => {{1,4},{2,7},{3,5},{6}} => {{1,5,7},{2},{3,4},{6}} => 12

{{1,6},{2},{3,5},{4},{7}} => {{1},{2,7},{3,5},{4},{6}} => {{1},{2,5,7},{3},{4},{6}} => 8

{{1,7},{2,6},{3,5},{4}} => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => 12

{{1},{2,6,7},{3,5},{4}} => {{1,2,6},{3,5},{4},{7}} => {{1,2},{3,5,6},{4},{7}} => 14

{{1},{2,6},{3,5,7},{4}} => {{1,3,5},{2,6},{4},{7}} => {{1},{2,3,6},{4,5},{7}} => 14

{{1},{2,6},{3,5},{4,7}} => {{1,4},{2,6},{3,5},{7}} => {{1,5},{2},{3,4,6},{7}} => 12

{{1},{2,6},{3,5},{4},{7}} => {{1},{2,6},{3,5},{4},{7}} => {{1},{2,5},{3},{4,6},{7}} => 8

{{1,7},{2},{3,5,6},{4}} => {{1,7},{2,3,5},{4},{6}} => {{1,3,5},{2},{4},{6,7}} => 13

{{1},{2,7},{3,5,6},{4}} => {{1,6},{2,3,5},{4},{7}} => {{1,3,5,6},{2},{4},{7}} => 13

{{1},{2},{3,5,6,7},{4}} => {{1,2,3,5},{4},{6},{7}} => {{1,2,3},{4,5},{6},{7}} => 15

{{1},{2},{3,5,6},{4,7}} => {{1,4},{2,3,5},{6},{7}} => {{1,3,4},{2,5},{6},{7}} => 13

{{1},{2},{3,5,6},{4},{7}} => {{1},{2,3,5},{4},{6},{7}} => {{1,3,5},{2},{4},{6},{7}} => 9

{{1,7},{2},{3,5},{4,6}} => {{1,7},{2,4},{3,5},{6}} => {{1,5},{2,4},{3},{6,7}} => 12

{{1},{2,7},{3,5},{4,6}} => {{1,6},{2,4},{3,5},{7}} => {{1,5,6},{2,4},{3},{7}} => 12

{{1},{2},{3,5,7},{4,6}} => {{1,3,5},{2,4},{6},{7}} => {{1,4,5},{2,3},{6},{7}} => 14

{{1},{2},{3,5},{4,6,7}} => {{1,2,4},{3,5},{6},{7}} => {{1,2,5},{3,4},{6},{7}} => 14

{{1},{2},{3,5},{4,6},{7}} => {{1},{2,4},{3,5},{6},{7}} => {{1,5},{2,4},{3},{6},{7}} => 8

{{1,7},{2},{3,5},{4},{6}} => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => 9

{{1},{2,7},{3,5},{4},{6}} => {{1,6},{2},{3,5},{4},{7}} => {{1},{2,5,6},{3},{4},{7}} => 9

{{1},{2},{3,5,7},{4},{6}} => {{1,3,5},{2},{4},{6},{7}} => {{1},{2,3},{4,5},{6},{7}} => 11

{{1},{2},{3,5},{4,7},{6}} => {{1,4},{2},{3,5},{6},{7}} => {{1,5},{2},{3,4},{6},{7}} => 9

{{1},{2},{3,5},{4},{6,7}} => {{1,2},{3,5},{4},{6},{7}} => {{1,2},{3,5},{4},{6},{7}} => 10

{{1},{2},{3,5},{4},{6},{7}} => {{1},{2},{3,5},{4},{6},{7}} => {{1},{2,5},{3},{4},{6},{7}} => 4

{{1,6,7},{2},{3},{4,5}} => {{1,2,7},{3,4},{5},{6}} => {{1,2,4},{3},{5},{6,7}} => 14

{{1,6},{2,7},{3},{4,5}} => {{1,6},{2,7},{3,4},{5}} => {{1,4,7},{2},{3},{5,6}} => 12

{{1,6},{2},{3,7},{4,5}} => {{1,5},{2,7},{3,4},{6}} => {{1,4,5,7},{2},{3},{6}} => 12

{{1,6},{2},{3},{4,5,7}} => {{1,3,4},{2,7},{5},{6}} => {{1},{2,3,4},{5,7},{6}} => 14

{{1,6},{2},{3},{4,5},{7}} => {{1},{2,7},{3,4},{5},{6}} => {{1,4},{2},{3},{5,7},{6}} => 8

{{1,7},{2,6},{3},{4,5}} => {{1,7},{2,6},{3,4},{5}} => {{1,4,6,7},{2},{3},{5}} => 12

{{1},{2,6,7},{3},{4,5}} => {{1,2,6},{3,4},{5},{7}} => {{1,2,4},{3},{5,6},{7}} => 14

{{1},{2,6},{3,7},{4,5}} => {{1,5},{2,6},{3,4},{7}} => {{1,4,5},{2},{3,6},{7}} => 12

{{1},{2,6},{3},{4,5,7}} => {{1,3,4},{2,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}} => 14

{{1},{2,6},{3},{4,5},{7}} => {{1},{2,6},{3,4},{5},{7}} => {{1,4,6},{2},{3},{5},{7}} => 8

{{1,7},{2},{3,6},{4,5}} => {{1,7},{2,5},{3,4},{6}} => {{1,4},{2},{3,5},{6,7}} => 12

{{1},{2,7},{3,6},{4,5}} => {{1,6},{2,5},{3,4},{7}} => {{1,4},{2},{3,5,6},{7}} => 12

{{1},{2},{3,6,7},{4,5}} => {{1,2,5},{3,4},{6},{7}} => {{1,2,4,5},{3},{6},{7}} => 14

{{1},{2},{3,6},{4,5,7}} => {{1,3,4},{2,5},{6},{7}} => {{1,5},{2,3,4},{6},{7}} => 14

{{1},{2},{3,6},{4,5},{7}} => {{1},{2,5},{3,4},{6},{7}} => {{1,4},{2},{3,5},{6},{7}} => 8

{{1,7},{2},{3},{4,5,6}} => {{1,7},{2,3,4},{5},{6}} => {{1,3},{2,4},{5},{6,7}} => 13

{{1},{2,7},{3},{4,5,6}} => {{1,6},{2,3,4},{5},{7}} => {{1,3},{2,4},{5,6},{7}} => 13

{{1},{2},{3,7},{4,5,6}} => {{1,5},{2,3,4},{6},{7}} => {{1,3},{2,4,5},{6},{7}} => 13

{{1},{2},{3},{4,5,6,7}} => {{1,2,3,4},{5},{6},{7}} => {{1,2,3,4},{5},{6},{7}} => 15

{{1},{2},{3},{4,5,6},{7}} => {{1},{2,3,4},{5},{6},{7}} => {{1,3},{2,4},{5},{6},{7}} => 9

{{1,7},{2},{3},{4,5},{6}} => {{1,7},{2},{3,4},{5},{6}} => {{1,4},{2},{3},{5},{6,7}} => 9

{{1},{2,7},{3},{4,5},{6}} => {{1,6},{2},{3,4},{5},{7}} => {{1,4},{2},{3},{5,6},{7}} => 9

{{1},{2},{3,7},{4,5},{6}} => {{1,5},{2},{3,4},{6},{7}} => {{1,4,5},{2},{3},{6},{7}} => 9

{{1},{2},{3},{4,5,7},{6}} => {{1,3,4},{2},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}} => 11

{{1},{2},{3},{4,5},{6,7}} => {{1,2},{3,4},{5},{6},{7}} => {{1,2,4},{3},{5},{6},{7}} => 10

{{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}} => {{1,4},{2},{3},{5},{6},{7}} => 4

{{1,6,7},{2},{3},{4},{5}} => {{1,2,7},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6,7}} => 11

{{1,6},{2,7},{3},{4},{5}} => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => 10

{{1,6},{2},{3,7},{4},{5}} => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => 10

{{1,6},{2},{3},{4,7},{5}} => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => 10

{{1,6},{2},{3},{4},{5,7}} => {{1,3},{2,7},{4},{5},{6}} => {{1},{2,3},{4},{5,7},{6}} => 10

{{1,6},{2},{3},{4},{5},{7}} => {{1},{2,7},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,7},{6}} => 5

{{1,7},{2,6},{3},{4},{5}} => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => 10

{{1},{2,6,7},{3},{4},{5}} => {{1,2,6},{3},{4},{5},{7}} => {{1,2},{3},{4},{5,6},{7}} => 11

{{1},{2,6},{3,7},{4},{5}} => {{1,5},{2,6},{3},{4},{7}} => {{1},{2},{3,6},{4,5},{7}} => 10

{{1},{2,6},{3},{4,7},{5}} => {{1,4},{2,6},{3},{5},{7}} => {{1},{2},{3,4,6},{5},{7}} => 10

{{1},{2,6},{3},{4},{5,7}} => {{1,3},{2,6},{4},{5},{7}} => {{1},{2,3},{4,6},{5},{7}} => 10

{{1},{2,6},{3},{4},{5},{7}} => {{1},{2,6},{3},{4},{5},{7}} => {{1},{2},{3},{4,6},{5},{7}} => 5

{{1,7},{2},{3,6},{4},{5}} => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => 10

{{1},{2,7},{3,6},{4},{5}} => {{1,6},{2,5},{3},{4},{7}} => {{1},{2},{3,5,6},{4},{7}} => 10

{{1},{2},{3,6,7},{4},{5}} => {{1,2,5},{3},{4},{6},{7}} => {{1,2},{3},{4,5},{6},{7}} => 11

{{1},{2},{3,6},{4,7},{5}} => {{1,4},{2,5},{3},{6},{7}} => {{1},{2,5},{3,4},{6},{7}} => 10

{{1},{2},{3,6},{4},{5,7}} => {{1,3},{2,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}} => 10

{{1},{2},{3,6},{4},{5},{7}} => {{1},{2,5},{3},{4},{6},{7}} => {{1},{2},{3,5},{4},{6},{7}} => 5

{{1,7},{2},{3},{4,6},{5}} => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => 10

{{1},{2,7},{3},{4,6},{5}} => {{1,6},{2,4},{3},{5},{7}} => {{1},{2,4},{3},{5,6},{7}} => 10

{{1},{2},{3,7},{4,6},{5}} => {{1,5},{2,4},{3},{6},{7}} => {{1},{2,4,5},{3},{6},{7}} => 10

{{1},{2},{3},{4,6,7},{5}} => {{1,2,4},{3},{5},{6},{7}} => {{1,2},{3,4},{5},{6},{7}} => 11

{{1},{2},{3},{4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => {{1,4},{2,3},{5},{6},{7}} => 10

{{1},{2},{3},{4,6},{5},{7}} => {{1},{2,4},{3},{5},{6},{7}} => {{1},{2,4},{3},{5},{6},{7}} => 5

{{1,7},{2},{3},{4},{5,6}} => {{1,7},{2,3},{4},{5},{6}} => {{1,3},{2},{4},{5},{6,7}} => 10

{{1},{2,7},{3},{4},{5,6}} => {{1,6},{2,3},{4},{5},{7}} => {{1,3},{2},{4},{5,6},{7}} => 10

{{1},{2},{3,7},{4},{5,6}} => {{1,5},{2,3},{4},{6},{7}} => {{1,3},{2},{4,5},{6},{7}} => 10

{{1},{2},{3},{4,7},{5,6}} => {{1,4},{2,3},{5},{6},{7}} => {{1,3,4},{2},{5},{6},{7}} => 10

{{1},{2},{3},{4},{5,6,7}} => {{1,2,3},{4},{5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 11

{{1},{2},{3},{4},{5,6},{7}} => {{1},{2,3},{4},{5},{6},{7}} => {{1,3},{2},{4},{5},{6},{7}} => 5

{{1,7},{2},{3},{4},{5},{6}} => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => 6

{{1},{2,7},{3},{4},{5},{6}} => {{1,6},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7}} => 6

{{1},{2},{3,7},{4},{5},{6}} => {{1,5},{2},{3},{4},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}} => 6

{{1},{2},{3},{4,7},{5},{6}} => {{1,4},{2},{3},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}} => 6

{{1},{2},{3},{4},{5,7},{6}} => {{1,3},{2},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}} => 6

{{1},{2},{3},{4},{5},{6,7}} => {{1,2},{3},{4},{5},{6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 6

{{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0

{{1,5},{2,7},{3,4},{6,8}} => {{1,3},{2,7},{4,8},{5,6}} => {{1,6},{2,3},{4,8},{5,7}} => 16

{{1,3},{2,8},{4,6},{5,7}} => {{1,7},{2,4},{3,5},{6,8}} => {{1,5},{2,4},{3,8},{6,7}} => 16

{{1,4},{2,7},{3,6},{5,8}} => {{1,4},{2,7},{3,6},{5,8}} => {{1,8},{2,6},{3,4},{5,7}} => 16

{{1,5},{2,6},{3,7},{4,8}} => {{1,5},{2,6},{3,7},{4,8}} => {{1,8},{2,7},{3,6},{4,5}} => 16

{{1,5},{2,4},{3,7},{6,8}} => {{1,3},{2,6},{4,8},{5,7}} => {{1,7},{2,3},{4,6},{5,8}} => 16

{{1,7},{2,3},{4,6},{5,8}} => {{1,4},{2,8},{3,5},{6,7}} => {{1,5},{2,7},{3,4},{6,8}} => 16

{{1,5},{2,4},{3,8},{6,7}} => {{1,6},{2,3},{4,8},{5,7}} => {{1,3},{2,7},{4,8},{5,6}} => 16

{{1,4},{2,6},{3,8},{5,7}} => {{1,6},{2,4},{3,7},{5,8}} => {{1,8},{2,4},{3,7},{5,6}} => 16

{{1,3},{2,8},{4,7},{5,6}} => {{1,7},{2,5},{3,4},{6,8}} => {{1,4},{2,8},{3,5},{6,7}} => 16

{{1,6},{2,7},{3,8},{4,9},{5,10}} => {{1,6},{2,7},{3,8},{4,9},{5,10}} => {{1,10},{2,9},{3,8},{4,7},{5,6}} => 25

{{1},{2,3},{4},{5,6,7,8}} => {{1,2,3,4},{5},{6,7},{8}} => {{1,2,3,4,7},{5},{6},{8}} => 20

{{1},{2,3},{4,5,6,7,8}} => {{1,2,3,4,5},{6,7},{8}} => {{1,2,3,4,5,7},{6},{8}} => 24

{{1},{2,5,6,7,8},{3,4}} => {{1,2,3,4,7},{5,6},{8}} => {{1,2,3,4,6,7},{5},{8}} => 24

{{1},{2,3,6,7,8},{4,5}} => {{1,2,3,6,7},{4,5},{8}} => {{1,2,3,5,6,7},{4},{8}} => 24

{{1},{2,3,4,5,6,8},{7}} => {{1,3,4,5,6,7},{2},{8}} => {{1},{2,3,4,5,6,7},{8}} => 25

{{1},{2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7},{8}} => {{1,2,3,4,5,6,7},{8}} => 27

{{1,2},{3,4,5,6,7,8}} => {{1,2,3,4,5,6},{7,8}} => {{1,2,3,4,5,6,8},{7}} => 26

{{1,3},{2},{4,5,6,8},{7}} => {{1,3,4,5},{2},{6,8},{7}} => {{1},{2,3,4,5,8},{6},{7}} => 20

{{1,3,5,7,8},{2},{4},{6}} => {{1,2,4,6,8},{3},{5},{7}} => {{1,2},{3,4},{5,6},{7,8}} => 22

{{1,3,8},{2},{4},{5,6,7}} => {{1,6,8},{2,3,4},{5},{7}} => {{1,3},{2,4},{5,6},{7,8}} => 20

{{1,8},{2},{3,6,7},{4,5}} => {{1,8},{2,3,6},{4,5},{7}} => {{1,3},{2,5},{4,6},{7,8}} => 18

{{1,7,8},{2},{3,4,6},{5}} => {{1,2,8},{3,5,6},{4},{7}} => {{1,2},{3,5},{4,6},{7,8}} => 20

{{1,8},{2},{3,4,5,6},{7}} => {{1,8},{2},{3,4,5,6},{7}} => {{1,4},{2,5},{3,6},{7,8}} => 16

{{1,3,4,5,6,7,8},{2}} => {{1,2,3,4,5,6,8},{7}} => {{1,2,3,4,5,6},{7,8}} => 27

{{1,2,3},{4,5,6,7,8}} => {{1,2,3,4,5},{6,7,8}} => {{1,2,3,4,5,7},{6,8}} => 25

{{1,7},{2,3},{4,5,6},{8}} => {{1},{2,8},{3,4,5},{6,7}} => {{1,4},{2,5},{3,7},{6,8}} => 14

{{1,4,7},{2,3},{5,6},{8}} => {{1},{2,5,8},{3,4},{6,7}} => {{1,4},{2,7},{3,5},{6,8}} => 15

{{1,4,5,7},{2,3},{6},{8}} => {{1},{2,4,5,8},{3},{6,7}} => {{1,7},{2,4},{3,5},{6,8}} => 16

{{1,4,5,6,7,8},{2,3}} => {{1,2,3,4,5,8},{6,7}} => {{1,2,3,4,5,7,8},{6}} => 26

{{1,2,5,6,7},{3},{4},{8}} => {{1},{2,3,4,7,8},{5},{6}} => {{1,3},{2,4},{5,7},{6,8}} => 18

{{1,6,7},{2,4,5},{3},{8}} => {{1},{2,3,8},{4,5,7},{6}} => {{1,3},{2,5},{4,7},{6,8}} => 16

{{1,2,3,4},{5,6,7,8}} => {{1,2,3,4},{5,6,7,8}} => {{1,2,3,4,6,8},{5,7}} => 24

{{1,5,6},{2,3,4},{7},{8}} => {{1},{2},{3,4,8},{5,6,7}} => {{1,4},{2,6},{3,7},{5,8}} => 12

{{1,2,5},{3,4},{6,7},{8}} => {{1},{2,3},{4,7,8},{5,6}} => {{1,3},{2,6},{4,7},{5,8}} => 14

{{1,2,5},{3,4},{6,8},{7}} => {{1,3},{2},{4,7,8},{5,6}} => {{1,6},{2,3},{4,7},{5,8}} => 15

{{1,2,5,6,7,8},{3,4}} => {{1,2,3,4,7,8},{5,6}} => {{1,2,3,4,6,7,8},{5}} => 26

{{1,2,3,5},{4},{6},{7,8}} => {{1,2},{3},{4,6,7,8},{5}} => {{1,2},{3,6},{4,7},{5,8}} => 16

{{1,2,3,4,5},{6},{7},{8}} => {{1},{2},{3},{4,5,6,7,8}} => {{1,5},{2,6},{3,7},{4,8}} => 10

{{1,6,7,8},{2,3,4,5}} => {{1,2,3,8},{4,5,6,7}} => {{1,2,3,5,7,8},{4,6}} => 24

{{1,2,3,6,7,8},{4,5}} => {{1,2,3,6,7,8},{4,5}} => {{1,2,3,5,6,7,8},{4}} => 26

{{1,2,3,8},{4,6,7},{5}} => {{1,6,7,8},{2,3,5},{4}} => {{1,3,5,6,7,8},{2},{4}} => 23

{{1,2,7,8},{3,4,5,6}} => {{1,2,7,8},{3,4,5,6}} => {{1,2,4,6,7,8},{3,5}} => 24

{{1,2,3,4,7,8},{5,6}} => {{1,2,5,6,7,8},{3,4}} => {{1,2,4,5,6,7,8},{3}} => 26

{{1,2,3,4,8},{5,7},{6}} => {{1,5,6,7,8},{2,4},{3}} => {{1},{2,4,5,6,7,8},{3}} => 24

{{1,2,3,4,5,8},{6},{7}} => {{1,4,5,6,7,8},{2},{3}} => {{1},{2},{3,4,5,6,7,8}} => 25

{{1,2,3,4,5,7,8},{6}} => {{1,2,4,5,6,7,8},{3}} => {{1,2},{3,4,5,6,7,8}} => 27

{{1,2,3,4,5,8},{6,7}} => {{1,4,5,6,7,8},{2,3}} => {{1,3,4,5,6,7,8},{2}} => 26

{{1,2,3,4,5,6,8},{7}} => {{1,3,4,5,6,7,8},{2}} => {{1},{2,3,4,5,6,7,8}} => 27

{{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}} => 28

{{1,3,5,6,7,8},{2,4}} => {{1,2,3,4,6,8},{5,7}} => {{1,2,3,4,7,8},{5,6}} => 26

{{1,2,4,6,7,8},{3,5}} => {{1,2,3,5,7,8},{4,6}} => {{1,2,3,6,7,8},{4,5}} => 26

{{1,2,3,5,7,8},{4,6}} => {{1,2,4,6,7,8},{3,5}} => {{1,2,5,6,7,8},{3,4}} => 26

{{1,2,3,4,6,8},{5,7}} => {{1,3,5,6,7,8},{2,4}} => {{1,4,5,6,7,8},{2,3}} => 26

{{1,4,5,6,8},{2,7},{3}} => {{1,3,4,5,8},{2,7},{6}} => {{1},{2,3,4,5,7,8},{6}} => 24

{{1,2,5,6,8},{3,7},{4}} => {{1,3,4,7,8},{2,6},{5}} => {{1},{2,3,4,6,7,8},{5}} => 24

{{1,2,3,6,8},{4,7},{5}} => {{1,3,6,7,8},{2,5},{4}} => {{1},{2,3,5,6,7,8},{4}} => 24

{{1,5,6,7},{2,8},{3},{4}} => {{1,7},{2,3,4,8},{5},{6}} => {{1,3},{2,4},{5,8},{6,7}} => 19

{{1,2,3,5},{4,8},{6},{7}} => {{1,5},{2},{3},{4,6,7,8}} => {{1,6},{2,7},{3,8},{4,5}} => 13

{{1,2,4,5},{3,7},{6},{8}} => {{1},{2,6},{3},{4,5,7,8}} => {{1,5},{2,7},{3,8},{4,6}} => 12

{{1,2,3,5},{4,7},{6},{8}} => {{1},{2,5},{3},{4,6,7,8}} => {{1,6},{2,7},{3,5},{4,8}} => 12

{{1,3,5,6},{2,4},{7},{8}} => {{1},{2},{3,4,6,8},{5,7}} => {{1,4},{2,7},{3,6},{5,8}} => 13

{{1,2,4,5},{3,6},{7},{8}} => {{1},{2},{3,6},{4,5,7,8}} => {{1,5},{2,7},{3,6},{4,8}} => 11

{{1,2,3,5},{4,6},{7},{8}} => {{1},{2},{3,5},{4,6,7,8}} => {{1,6},{2,5},{3,7},{4,8}} => 11

{{1,5,7},{2,6,8},{3},{4}} => {{1,3,7},{2,4,8},{5},{6}} => {{1,4},{2,3},{5,8},{6,7}} => 20

{{1,2,5},{3,7,8},{4},{6}} => {{1,2,6},{3},{4,7,8},{5}} => {{1,2},{3,7},{4,8},{5,6}} => 18

{{1,4,5},{2,6,8},{3},{7}} => {{1,3,7},{2},{4,5,8},{6}} => {{1,5},{2,3},{4,8},{6,7}} => 18

{{1,2,4},{3,5,8},{6},{7}} => {{1,4,6},{2},{3},{5,7,8}} => {{1,7},{2,8},{3,4},{5,6}} => 16

{{1,2,5},{3,4,7},{6},{8}} => {{1},{2,5,6},{3},{4,7,8}} => {{1,7},{2,8},{3,5},{4,6}} => 14

{{1,3,4},{2,5,7},{6},{8}} => {{1},{2,4,7},{3},{5,6,8}} => {{1,6},{2,4},{3,8},{5,7}} => 14

{{1,3,5},{2,4,6},{7},{8}} => {{1},{2},{3,5,7},{4,6,8}} => {{1,6},{2,5},{3,8},{4,7}} => 12

{{1,2,5},{3,4,6},{7},{8}} => {{1},{2},{3,5,6},{4,7,8}} => {{1,7},{2,5},{3,6},{4,8}} => 12

{{1,2,5},{3,7},{4,8},{6}} => {{1,5},{2,6},{3},{4,7,8}} => {{1,7},{2,8},{3,6},{4,5}} => 15

{{1,3,4},{2,7},{5,8},{6}} => {{1,4},{2,7},{3},{5,6,8}} => {{1,6},{2,8},{3,4},{5,7}} => 15

{{1,3,6},{2,4},{5,8},{7}} => {{1,4},{2},{3,6,8},{5,7}} => {{1,7},{2,6},{3,4},{5,8}} => 15

{{1,3,5},{2,6},{4,8},{7}} => {{1,5},{2},{3,7},{4,6,8}} => {{1,6},{2,8},{3,7},{4,5}} => 14

{{1,2,5},{3,6},{4,8},{7}} => {{1,5},{2},{3,6},{4,7,8}} => {{1,7},{2,6},{3,8},{4,5}} => 14

{{1,3,6},{2,4},{5,7},{8}} => {{1},{2,4},{3,6,8},{5,7}} => {{1,7},{2,4},{3,6},{5,8}} => 14

{{1,4,5},{2,6},{3,7},{8}} => {{1},{2,6},{3,7},{4,5,8}} => {{1,5},{2,8},{3,7},{4,6}} => 13

{{1,3,5},{2,6},{4,7},{8}} => {{1},{2,5},{3,7},{4,6,8}} => {{1,6},{2,8},{3,5},{4,7}} => 13

{{1,2,5},{3,6},{4,7},{8}} => {{1},{2,5},{3,6},{4,7,8}} => {{1,7},{2,6},{3,5},{4,8}} => 13

{{1,4,6},{2,5},{3},{7,8}} => {{1,2},{3,5,8},{4,7},{6}} => {{1,2},{3,5},{4,7},{6,8}} => 18

{{1,3,5},{2,6},{4},{7,8}} => {{1,2},{3,7},{4,6,8},{5}} => {{1,2},{3,6},{4,8},{5,7}} => 17

{{1,5},{2,3,6},{4},{7,8}} => {{1,2},{3,6,7},{4,8},{5}} => {{1,2},{3,8},{4,6},{5,7}} => 18

{{1,5},{2,3,6},{4,8},{7}} => {{1,5},{2},{3,6,7},{4,8}} => {{1,8},{2,6},{3,7},{4,5}} => 15

{{1,3},{2,4,6,8},{5},{7}} => {{1,3,5,7},{2},{4},{6,8}} => {{1,8},{2,3},{4,5},{6,7}} => 19

{{1,5},{2,4},{3,6,8},{7}} => {{1,3,6},{2},{4,8},{5,7}} => {{1,7},{2,3},{4,8},{5,6}} => 17

{{1,2,4},{3,8},{5,7},{6}} => {{1,6},{2,4},{3},{5,7,8}} => {{1,7},{2,4},{3,8},{5,6}} => 15

{{1,6},{2,5,7,8},{3},{4}} => {{1,2,4,7},{3,8},{5},{6}} => {{1,2},{3,4},{5,8},{6,7}} => 21

{{1,6,8},{2},{3,7},{4,5}} => {{1,3,8},{2,6},{4,5},{7}} => {{1,5},{2,3},{4,6},{7,8}} => 19

{{1},{2,3,4,5,6,7,8,9}} => {{1,2,3,4,5,6,7,8},{9}} => {{1,2,3,4,5,6,7,8},{9}} => 35

{{1},{2,3,4,5,6,7,8,9,10}} => {{1,2,3,4,5,6,7,8,9},{10}} => {{1,2,3,4,5,6,7,8,9},{10}} => 44

{{1},{2,3,4,5,6,7,8,9,10,11}} => {{1,2,3,4,5,6,7,8,9,10},{11}} => {{1,2,3,4,5,6,7,8,9,10},{11}} => 54

{{1,3,6,8},{2},{4},{5,7}} => {{1,3,6,8},{2,4},{5},{7}} => {{1,4},{2,3},{5,6},{7,8}} => 21

{{1,4,6,8},{2},{3,5},{7}} => {{1,3,5,8},{2},{4,6},{7}} => {{1,6},{2,3},{4,5},{7,8}} => 20

{{1,4,7,8},{2},{3,6},{5}} => {{1,2,5,8},{3,6},{4},{7}} => {{1,2},{3,6},{4,5},{7,8}} => 21

{{1,5,8},{2},{3,6},{4,7}} => {{1,4,8},{2,5},{3,6},{7}} => {{1,6},{2,5},{3,4},{7,8}} => 19

{{1,4,7},{2,3},{5,8},{6}} => {{1,4},{2,5,8},{3},{6,7}} => {{1,7},{2,5},{3,4},{6,8}} => 17

{{1,3},{2,5,8},{4,7},{6}} => {{1,4,7},{2,5},{3},{6,8}} => {{1,8},{2,5},{3,4},{6,7}} => 18

{{1,5},{2,4,7,8},{3},{6}} => {{1,2,5,7},{3},{4,8},{6}} => {{1,2},{3,8},{4,5},{6,7}} => 20

{{1,3},{2,5,8},{4,6},{7}} => {{1,4,7},{2},{3,5},{6,8}} => {{1,5},{2,8},{3,4},{6,7}} => 17

{{1,6},{2,3,4},{5,8},{7}} => {{1,4},{2},{3,8},{5,6,7}} => {{1,6},{2,7},{3,4},{5,8}} => 14

{{1,4},{2,6},{3,5,8},{7}} => {{1,4,6},{2},{3,7},{5,8}} => {{1,8},{2,7},{3,4},{5,6}} => 17

{{1,4},{2,6,7},{3,8},{5}} => {{1,6},{2,3,7},{4},{5,8}} => {{1,3},{2,8},{4,7},{5,6}} => 17

{{1,2,5},{3,6},{4},{7,8}} => {{1,2},{3,6},{4,7,8},{5}} => {{1,2},{3,7},{4,6},{5,8}} => 17

{{1,3,4},{2,7},{5,6},{8}} => {{1},{2,7},{3,4},{5,6,8}} => {{1,4},{2,6},{3,8},{5,7}} => 13

{{1,4},{2,3,7},{5},{6,8}} => {{1,3},{2,6,7},{4},{5,8}} => {{1,8},{2,3},{4,6},{5,7}} => 17

{{1,2,6},{3},{4},{5,7,8}} => {{1,2,4},{3,7,8},{5},{6}} => {{1,2},{3,4},{5,7},{6,8}} => 20

{{1,4},{2,7},{3,6,8},{5}} => {{1,3,6},{2,7},{4},{5,8}} => {{1,8},{2,3},{4,7},{5,6}} => 18

{{1,6},{2,3,4},{5,7},{8}} => {{1},{2,4},{3,8},{5,6,7}} => {{1,6},{2,4},{3,7},{5,8}} => 13

{{1,5},{2,7,8},{3},{4,6}} => {{1,2,7},{3,5},{4,8},{6}} => {{1,2},{3,5},{4,8},{6,7}} => 19

{{1,5},{2,6},{3,7,8},{4}} => {{1,2,6},{3,7},{4,8},{5}} => {{1,2},{3,8},{4,7},{5,6}} => 19

{{1,4},{2,7},{3,5,6},{8}} => {{1},{2,7},{3,4,6},{5,8}} => {{1,4},{2,8},{3,6},{5,7}} => 14

{{1,3},{2,4,5,6,7,8}} => {{1,2,3,4,5,7},{6,8}} => {{1,2,3,4,5,8},{6,7}} => 26

{{1,7},{2,4,5},{3},{6,8}} => {{1,3},{2,8},{4,5,7},{6}} => {{1,5},{2,3},{4,7},{6,8}} => 17

{{1,3},{2,8},{4,5,7},{6}} => {{1,7},{2,4,5},{3},{6,8}} => {{1,8},{2,4},{3,5},{6,7}} => 17

{{1,4,5},{2,8},{3},{6,7}} => {{1,7},{2,3},{4,5,8},{6}} => {{1,3},{2,5},{4,8},{6,7}} => 17

{{1,7},{2,3},{4,6,8},{5}} => {{1,3,5},{2,8},{4},{6,7}} => {{1,7},{2,3},{4,5},{6,8}} => 18

{{1,6,7},{2,3},{4,8},{5}} => {{1,5},{2,3,8},{4},{6,7}} => {{1,3},{2,7},{4,5},{6,8}} => 17

{{1,6},{2,5},{3},{4,7,8}} => {{1,2,5},{3,8},{4,7},{6}} => {{1,2},{3,7},{4,5},{6,8}} => 19

{{1,3},{2,8},{4,5,6},{7}} => {{1,7},{2},{3,4,5},{6,8}} => {{1,4},{2,5},{3,8},{6,7}} => 15

{{1,4},{2,5,6},{3,8},{7}} => {{1,6},{2},{3,4,7},{5,8}} => {{1,4},{2,8},{3,7},{5,6}} => 15

{{1,2,5,7},{3},{4},{6,8}} => {{1,3},{2,4,7,8},{5},{6}} => {{1,4},{2,3},{5,7},{6,8}} => 19

{{1,8},{2},{3,4,6},{5,7}} => {{1,8},{2,4},{3,5,6},{7}} => {{1,5},{2,4},{3,6},{7,8}} => 17

{{1,5},{2,6,7},{3,4},{8}} => {{1},{2,3,7},{4,8},{5,6}} => {{1,3},{2,6},{4,8},{5,7}} => 15

{{1,5},{2,4,6},{3,7},{8}} => {{1},{2,6},{3,5,7},{4,8}} => {{1,8},{2,5},{3,7},{4,6}} => 14

{{1,4},{2,3,6,7},{5},{8}} => {{1},{2,3,6,7},{4},{5,8}} => {{1,3},{2,8},{4,6},{5,7}} => 16

{{1,4,8},{2},{3,5},{6,7}} => {{1,5,8},{2,3},{4,6},{7}} => {{1,3},{2,6},{4,5},{7,8}} => 19

{{1,8},{2},{3,6},{4,5,7}} => {{1,8},{2,4,5},{3,6},{7}} => {{1,6},{2,4},{3,5},{7,8}} => 18

{{1,8},{2},{3,5,6},{4,7}} => {{1,8},{2,5},{3,4,6},{7}} => {{1,4},{2,6},{3,5},{7,8}} => 17

{{1,5,8},{2},{3,4,6},{7}} => {{1,4,8},{2},{3,5,6},{7}} => {{1,5},{2,6},{3,4},{7,8}} => 18

{{1,3},{2,4,8},{5},{6,7}} => {{1,5,7},{2,3},{4},{6,8}} => {{1,3},{2,8},{4,5},{6,7}} => 18

{{1,5},{2,6},{3,4,7},{8}} => {{1},{2,5,6},{3,7},{4,8}} => {{1,8},{2,7},{3,5},{4,6}} => 15

{{1,4,5},{2,3,6},{7},{8}} => {{1},{2},{3,6,7},{4,5,8}} => {{1,5},{2,8},{3,6},{4,7}} => 12

{{1,5},{2,4},{3,6,7},{8}} => {{1},{2,3,6},{4,8},{5,7}} => {{1,3},{2,7},{4,6},{5,8}} => 15

{{1,5},{2,3,6},{4,7},{8}} => {{1},{2,5},{3,6,7},{4,8}} => {{1,8},{2,6},{3,5},{4,7}} => 14

{{1,5},{2,3,4,6},{7},{8}} => {{1},{2},{3,5,6,7},{4,8}} => {{1,8},{2,5},{3,6},{4,7}} => 13

{{1,5,7},{2,3},{4,6},{8}} => {{1},{2,4,8},{3,5},{6,7}} => {{1,5},{2,4},{3,7},{6,8}} => 15

{{1,4},{2,5,7},{3,6},{8}} => {{1},{2,4,7},{3,6},{5,8}} => {{1,8},{2,4},{3,6},{5,7}} => 15

{{1,2,5},{3,7},{4,6},{8}} => {{1},{2,6},{3,5},{4,7,8}} => {{1,7},{2,5},{3,8},{4,6}} => 13

{{1,2,4},{3,8},{5,6},{7}} => {{1,6},{2},{3,4},{5,7,8}} => {{1,4},{2,7},{3,8},{5,6}} => 14

{{1},{2,5,6,7,8,9},{3,4}} => {{1,2,3,4,5,8},{6,7},{9}} => {{1,2,3,4,5,7,8},{6},{9}} => 32

{{1,2,3,4,5,6,7,9},{8}} => {{1,3,4,5,6,7,8,9},{2}} => {{1},{2,3,4,5,6,7,8,9}} => 35

{{1,2,3,4,5,6,7,8,10},{9}} => {{1,3,4,5,6,7,8,9,10},{2}} => {{1},{2,3,4,5,6,7,8,9,10}} => 44

{{1,2,3,4,5,6,7,8,9,11},{10}} => {{1,3,4,5,6,7,8,9,10,11},{2}} => {{1},{2,3,4,5,6,7,8,9,10,11}} => 54

{{1,7},{2,8},{3,9},{4,10},{5,11},{6,12}} => {{1,7},{2,8},{3,9},{4,10},{5,11},{6,12}} => {{1,12},{2,11},{3,10},{4,9},{5,8},{6,7}} => 36

{{1,7},{2,3,4,5,6,8}} => {{1,3,4,5,6,7},{2,8}} => {{1,8},{2,3,4,5,6,7}} => 26

{{1},{2,4},{3,5,6,7,8}} => {{1,2,3,4,6},{5,7},{8}} => {{1,2,3,4,7},{5,6},{8}} => 24

{{1,7},{2,4,5,6,8},{3}} => {{1,3,4,5,7},{2,8},{6}} => {{1},{2,3,4,5,8},{6,7}} => 24

{{1},{2,4},{3,5,6,7,8,9}} => {{1,2,3,4,5,7},{6,8},{9}} => {{1,2,3,4,5,8},{6,7},{9}} => 32

{{1},{2,5},{3,4,6,7,8}} => {{1,2,3,5,6},{4,7},{8}} => {{1,2,3,7},{4,5,6},{8}} => 24

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Description

The depth index of a set partition.
For a set partition $\Pi$ of $\{1,\dots,n\}$ with arcs $\mathcal A$, this is $$\sum_{i=1}^{|\mathcal A|} (n-i) - \sum_{j=1}^n depth(j) + \sum_{\alpha\in\mathcal A} depth(\alpha),$$
where the depth of an element $i$ is the number of arcs $(k,\ell)$ with $k < i < \ell$, and the depth of an arc $(i,j)$ is the number of arcs $(k,\ell)$ with $k < i$ and $j < \ell$.

Map

complement

Description

The complement of a set partition obtained by replacing $i$ with $n+1-i$.

Map

dual major index to intertwining number

Description

A bijection sending the dual major index of a set partition to its intertwining number.
More precisely, St000493The los statistic of a set partition.$(P) = $St000490The intertwining number of a set partition.$(\phi(P))$ for all set partitions $P$.
This is the inverse of Mp00171intertwining number to dual major index.