Identifier
-
Mp00251:
Graphs
—clique sizes⟶
Integer partitions
Mp00045: Integer partitions —reading tableau⟶ Standard tableaux
St000733: Standard tableaux ⟶ ℤ
Values
=>
Cc0020;cc-rep-0
Cc0002;cc-rep-1
Cc0007;cc-rep
([],1)=>[1]=>[[1]]=>1
([],2)=>[1,1]=>[[1],[2]]=>2
([(0,1)],2)=>[2]=>[[1,2]]=>1
([],3)=>[1,1,1]=>[[1],[2],[3]]=>3
([(1,2)],3)=>[2,1]=>[[1,3],[2]]=>1
([(0,2),(1,2)],3)=>[2,2]=>[[1,2],[3,4]]=>2
([(0,1),(0,2),(1,2)],3)=>[3]=>[[1,2,3]]=>1
([],4)=>[1,1,1,1]=>[[1],[2],[3],[4]]=>4
([(2,3)],4)=>[2,1,1]=>[[1,4],[2],[3]]=>1
([(1,3),(2,3)],4)=>[2,2,1]=>[[1,3],[2,5],[4]]=>2
([(0,3),(1,3),(2,3)],4)=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>3
([(0,3),(1,2)],4)=>[2,2]=>[[1,2],[3,4]]=>2
([(0,3),(1,2),(2,3)],4)=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>3
([(1,2),(1,3),(2,3)],4)=>[3,1]=>[[1,3,4],[2]]=>1
([(0,3),(1,2),(1,3),(2,3)],4)=>[3,2]=>[[1,2,5],[3,4]]=>1
([(0,2),(0,3),(1,2),(1,3)],4)=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>4
([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[3,3]=>[[1,2,3],[4,5,6]]=>2
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4]=>[[1,2,3,4]]=>1
([],5)=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>5
([(3,4)],5)=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>1
([(2,4),(3,4)],5)=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>2
([(1,4),(2,4),(3,4)],5)=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>3
([(0,4),(1,4),(2,4),(3,4)],5)=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>4
([(1,4),(2,3)],5)=>[2,2,1]=>[[1,3],[2,5],[4]]=>2
([(1,4),(2,3),(3,4)],5)=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>3
([(0,1),(2,4),(3,4)],5)=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>3
([(2,3),(2,4),(3,4)],5)=>[3,1,1]=>[[1,4,5],[2],[3]]=>1
([(0,4),(1,4),(2,3),(3,4)],5)=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>4
([(1,4),(2,3),(2,4),(3,4)],5)=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1
([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>1
([(1,3),(1,4),(2,3),(2,4)],5)=>[2,2,2,2,1]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>4
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>[2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>5
([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>2
([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>1
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>2
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>[2,2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>6
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[3,3,3]=>[[1,2,3],[4,5,6],[7,8,9]]=>3
([(0,4),(1,3),(2,3),(2,4)],5)=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>4
([(0,1),(2,3),(2,4),(3,4)],5)=>[3,2]=>[[1,2,5],[3,4]]=>1
([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>1
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>[3,3]=>[[1,2,3],[4,5,6]]=>2
([(0,3),(0,4),(1,2),(1,4),(2,3)],5)=>[2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>5
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>[3,2,2,2]=>[[1,2,9],[3,4],[5,6],[7,8]]=>1
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>[3,3,3]=>[[1,2,3],[4,5,6],[7,8,9]]=>3
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>2
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[4,1]=>[[1,3,4,5],[2]]=>1
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[4,2]=>[[1,2,5,6],[3,4]]=>1
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[4,3]=>[[1,2,3,7],[4,5,6]]=>1
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>2
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>2
([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]=>[[1,2,3,4,5]]=>1
([],6)=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>6
([(4,5)],6)=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>1
([(3,5),(4,5)],6)=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>2
([(2,5),(3,5),(4,5)],6)=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>3
([(1,5),(2,5),(3,5),(4,5)],6)=>[2,2,2,2,1]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>4
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>[2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>5
([(2,5),(3,4)],6)=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>2
([(2,5),(3,4),(4,5)],6)=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>3
([(1,2),(3,5),(4,5)],6)=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>3
([(3,4),(3,5),(4,5)],6)=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>1
([(1,5),(2,5),(3,4),(4,5)],6)=>[2,2,2,2,1]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>4
([(0,1),(2,5),(3,5),(4,5)],6)=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>4
([(2,5),(3,4),(3,5),(4,5)],6)=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>[2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>5
([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[3,2,2,2]=>[[1,2,9],[3,4],[5,6],[7,8]]=>1
([(2,4),(2,5),(3,4),(3,5)],6)=>[2,2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>4
([(0,5),(1,5),(2,4),(3,4)],6)=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>4
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>[2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>5
([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>2
([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>[2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>5
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[2,2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>6
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[3,3,2,1]=>[[1,3,6],[2,5,9],[4,8],[7]]=>2
([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[3,2,2,2]=>[[1,2,9],[3,4],[5,6],[7,8]]=>1
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>2
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>[2,2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>6
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[3,3,3,1]=>[[1,3,4],[2,6,7],[5,9,10],[8]]=>3
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>2
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[3,3,3,2]=>[[1,2,5],[3,4,8],[6,7,11],[9,10]]=>3
([(0,5),(1,4),(2,3)],6)=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>3
([(1,5),(2,4),(3,4),(3,5)],6)=>[2,2,2,2,1]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>4
([(0,1),(2,5),(3,4),(4,5)],6)=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>4
([(1,2),(3,4),(3,5),(4,5)],6)=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>[2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>5
([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1
([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>1
([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[3,2,2,2]=>[[1,2,9],[3,4],[5,6],[7,8]]=>1
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>2
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>2
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[2,2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>6
([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[3,2,2,2,1]=>[[1,3,10],[2,5],[4,7],[6,9],[8]]=>1
([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>[2,2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>6
([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[3,3,2,1]=>[[1,3,6],[2,5,9],[4,8],[7]]=>2
([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>[3,2,2,2]=>[[1,2,9],[3,4],[5,6],[7,8]]=>1
([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>2
([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[3,3,3,1]=>[[1,3,4],[2,6,7],[5,9,10],[8]]=>3
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[3,3,3,2]=>[[1,2,5],[3,4,8],[6,7,11],[9,10]]=>3
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>[2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>5
([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>[2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>5
([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>1
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>[2,2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>6
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>[3,2,2,2]=>[[1,2,9],[3,4],[5,6],[7,8]]=>1
([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>[3,2,2,2]=>[[1,2,9],[3,4],[5,6],[7,8]]=>1
([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>2
([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>[3,2,2,2]=>[[1,2,9],[3,4],[5,6],[7,8]]=>1
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>2
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>2
([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[3,3,3]=>[[1,2,3],[4,5,6],[7,8,9]]=>3
([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>1
([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>2
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>1
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[3,3,3,2]=>[[1,2,5],[3,4,8],[6,7,11],[9,10]]=>3
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[3,3,3,2]=>[[1,2,5],[3,4,8],[6,7,11],[9,10]]=>3
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>1
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,3,2]=>[[1,2,5,9],[3,4,8],[6,7]]=>1
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,3,3]=>[[1,2,3,10],[4,5,6],[7,8,9]]=>1
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[3,3,2,2,1]=>[[1,3,8],[2,5,11],[4,7],[6,10],[9]]=>2
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>[2,2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>6
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>2
([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[3,3,3,2]=>[[1,2,5],[3,4,8],[6,7,11],[9,10]]=>3
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>2
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,4,1]=>[[1,3,4,5],[2,7,8,9],[6]]=>2
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,3,2]=>[[1,2,5,9],[3,4,8],[6,7]]=>1
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,4,2]=>[[1,2,5,6],[3,4,9,10],[7,8]]=>2
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,3,3]=>[[1,2,3,10],[4,5,6],[7,8,9]]=>1
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,4,3]=>[[1,2,3,7],[4,5,6,11],[8,9,10]]=>2
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>[3,3]=>[[1,2,3],[4,5,6]]=>2
([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>2
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>2
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,2]=>[[1,2,5,6],[3,4]]=>1
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[3,3,3]=>[[1,2,3],[4,5,6],[7,8,9]]=>3
([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>1
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,3]=>[[1,2,3,7],[4,5,6]]=>1
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>2
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>[3,3,3,2]=>[[1,2,5],[3,4,8],[6,7,11],[9,10]]=>3
([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,3,2]=>[[1,2,5,9],[3,4,8],[6,7]]=>1
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,2,2,2]=>[[1,2,9,10],[3,4],[5,6],[7,8]]=>1
([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,3,3]=>[[1,2,3,10],[4,5,6],[7,8,9]]=>1
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>2
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[4,3,2,2]=>[[1,2,7,11],[3,4,10],[5,6],[8,9]]=>1
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,3,3]=>[[1,2,3,10],[4,5,6],[7,8,9]]=>1
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,4,3]=>[[1,2,3,7],[4,5,6,11],[8,9,10]]=>2
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,4,2]=>[[1,2,5,6],[3,4,9,10],[7,8]]=>2
([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]=>[[1,3,4,5,6],[2]]=>1
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>1
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>1
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>2
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,3,3,2]=>[[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>1
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>2
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]=>[[1,2,3,4,5,6]]=>1
([],7)=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>7
([(5,6)],7)=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>1
([(4,6),(5,6)],7)=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>2
([(3,6),(4,6),(5,6)],7)=>[2,2,2,1,1,1]=>[[1,5],[2,7],[3,9],[4],[6],[8]]=>3
([(2,6),(3,6),(4,6),(5,6)],7)=>[2,2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>4
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>[2,2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>6
([(3,6),(4,5)],7)=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>2
([(3,6),(4,5),(5,6)],7)=>[2,2,2,1,1,1]=>[[1,5],[2,7],[3,9],[4],[6],[8]]=>3
([(2,3),(4,6),(5,6)],7)=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>3
([(4,5),(4,6),(5,6)],7)=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>1
([(2,6),(3,6),(4,5),(5,6)],7)=>[2,2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>4
([(1,2),(3,6),(4,6),(5,6)],7)=>[2,2,2,2,1]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>4
([(3,6),(4,5),(4,6),(5,6)],7)=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1
([(0,1),(2,6),(3,6),(4,6),(5,6)],7)=>[2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>5
([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[3,2,2,1,1]=>[[1,4,9],[2,6],[3,8],[5],[7]]=>1
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[2,2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>6
([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[3,2,2,2,1]=>[[1,3,10],[2,5],[4,7],[6,9],[8]]=>1
([(1,6),(2,6),(3,5),(4,5)],7)=>[2,2,2,2,1]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>4
([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>[2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>5
([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,1,1,1]=>[[1,5,6],[2,8,9],[3],[4],[7]]=>2
([(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[3,2,2,1,1]=>[[1,4,9],[2,6],[3,8],[5],[7]]=>1
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[2,2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>6
([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,2,1,1]=>[[1,4,7],[2,6,10],[3,9],[5],[8]]=>2
([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[3,2,2,2,1]=>[[1,3,10],[2,5],[4,7],[6,9],[8]]=>1
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[2,2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>6
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,2,2,1]=>[[1,3,8],[2,5,11],[4,7],[6,10],[9]]=>2
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>[2,2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>6
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,3,1,1]=>[[1,4,5],[2,7,8],[3,10,11],[6],[9]]=>3
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,2,2,1]=>[[1,3,8],[2,5,11],[4,7],[6,10],[9]]=>2
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,3,2,1]=>[[1,3,6],[2,5,9],[4,8,12],[7,11],[10]]=>3
([(1,6),(2,5),(3,4)],7)=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>3
([(2,6),(3,5),(4,5),(4,6)],7)=>[2,2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>4
([(1,2),(3,6),(4,5),(5,6)],7)=>[2,2,2,2,1]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>4
([(0,3),(1,2),(4,6),(5,6)],7)=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>4
([(2,3),(4,5),(4,6),(5,6)],7)=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1
([(0,1),(2,6),(3,6),(4,5),(5,6)],7)=>[2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>5
([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[3,2,2,1,1]=>[[1,4,9],[2,6],[3,8],[5],[7]]=>1
([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[2,2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>6
([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[3,2,2,2,1]=>[[1,3,10],[2,5],[4,7],[6,9],[8]]=>1
([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[3,2,2,2]=>[[1,2,9],[3,4],[5,6],[7,8]]=>1
([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>2
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[3,3,2,1]=>[[1,3,6],[2,5,9],[4,8],[7]]=>2
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>2
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)=>[2,2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>6
([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[3,3,2,1,1]=>[[1,4,7],[2,6,10],[3,9],[5],[8]]=>2
([(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>[3,2,2,2,1]=>[[1,3,10],[2,5],[4,7],[6,9],[8]]=>1
([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,2,2,1]=>[[1,3,8],[2,5,11],[4,7],[6,10],[9]]=>2
([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,3,1,1]=>[[1,4,5],[2,7,8],[3,10,11],[6],[9]]=>3
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,3,2,1]=>[[1,3,6],[2,5,9],[4,8,12],[7,11],[10]]=>3
([(0,6),(1,5),(2,4),(3,4),(5,6)],7)=>[2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>5
([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>1
([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)=>[2,2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>6
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>6
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>[3,2,2,2,1]=>[[1,3,10],[2,5],[4,7],[6,9],[8]]=>1
([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[3,2,2,2]=>[[1,2,9],[3,4],[5,6],[7,8]]=>1
([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[3,2,2,2,1]=>[[1,3,10],[2,5],[4,7],[6,9],[8]]=>1
([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,2,1]=>[[1,3,6],[2,5,9],[4,8],[7]]=>2
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>[2,2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>6
([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[3,2,2,2]=>[[1,2,9],[3,4],[5,6],[7,8]]=>1
([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[3,2,2,2,1]=>[[1,3,10],[2,5],[4,7],[6,9],[8]]=>1
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[3,3,2,2,1]=>[[1,3,8],[2,5,11],[4,7],[6,10],[9]]=>2
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>2
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,2,1]=>[[1,3,6],[2,5,9],[4,8],[7]]=>2
([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,3,1]=>[[1,3,4],[2,6,7],[5,9,10],[8]]=>3
([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>2
([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,3,2]=>[[1,2,5],[3,4,8],[6,7,11],[9,10]]=>3
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>[3,2,2,2]=>[[1,2,9],[3,4],[5,6],[7,8]]=>1
([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>1
([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[3,3,2,2,1]=>[[1,3,8],[2,5,11],[4,7],[6,10],[9]]=>2
([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1
([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,2,1]=>[[1,3,8,9],[2,5],[4,7],[6]]=>1
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,2,2]=>[[1,2,9,10],[3,4],[5,6],[7,8]]=>1
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,3,2,1]=>[[1,3,6],[2,5,9],[4,8,12],[7,11],[10]]=>3
([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[3,3,3,2,1]=>[[1,3,6],[2,5,9],[4,8,12],[7,11],[10]]=>3
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,3,2]=>[[1,2,5],[3,4,8],[6,7,11],[9,10]]=>3
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>2
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,3,2]=>[[1,2,5],[3,4,8],[6,7,11],[9,10]]=>3
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,1,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>1
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,2,1]=>[[1,3,8,9],[2,5],[4,7],[6]]=>1
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,2,1]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>1
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,2,2]=>[[1,2,9,10],[3,4],[5,6],[7,8]]=>1
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,2,2]=>[[1,2,7,11],[3,4,10],[5,6],[8,9]]=>1
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,3,1]=>[[1,3,4,11],[2,6,7],[5,9,10],[8]]=>1
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,2,2]=>[[1,2,7,11],[3,4,10],[5,6],[8,9]]=>1
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,3,2]=>[[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>1
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,2,2,1,1]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>2
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,2,2,1]=>[[1,3,8],[2,5,11],[4,7],[6,10],[9]]=>2
([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[3,3,3,2,1]=>[[1,3,6],[2,5,9],[4,8,12],[7,11],[10]]=>3
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[3,3,2,2,1]=>[[1,3,8],[2,5,11],[4,7],[6,10],[9]]=>2
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>[2,2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>6
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>2
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>2
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[3,3,3,2]=>[[1,2,5],[3,4,8],[6,7,11],[9,10]]=>3
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,1,1]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>2
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,2,1]=>[[1,3,6,7],[2,5,10,11],[4,9],[8]]=>2
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,2,2]=>[[1,2,7,11],[3,4,10],[5,6],[8,9]]=>1
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>2
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,2,1]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>1
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,2,2]=>[[1,2,9,10],[3,4],[5,6],[7,8]]=>1
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,3,1]=>[[1,3,4,11],[2,6,7],[5,9,10],[8]]=>1
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,2,2]=>[[1,2,7,11],[3,4,10],[5,6],[8,9]]=>1
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,3,2]=>[[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>1
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,3,1]=>[[1,3,4,8],[2,6,7,12],[5,10,11],[9]]=>2
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>2
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,3,2]=>[[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]]=>2
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,3,2]=>[[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>1
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,3,2]=>[[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>1
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,3,2]=>[[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]]=>2
([(0,1),(2,5),(3,4),(4,6),(5,6)],7)=>[2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>5
([(0,3),(1,2),(4,5),(4,6),(5,6)],7)=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>1
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>[2,2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>6
([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[3,2,2,2]=>[[1,2,9],[3,4],[5,6],[7,8]]=>1
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>2
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>2
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[3,3,3]=>[[1,2,3],[4,5,6],[7,8,9]]=>3
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>[2,2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>6
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>[2,2,2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>6
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)=>[3,2,2,2]=>[[1,2,9],[3,4],[5,6],[7,8]]=>1
([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>2
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,3,2]=>[[1,2,5],[3,4,8],[6,7,11],[9,10]]=>3
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>2
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,3,2]=>[[1,2,5],[3,4,8],[6,7,11],[9,10]]=>3
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>2
([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[3,3,2,2,1]=>[[1,3,8],[2,5,11],[4,7],[6,10],[9]]=>2
([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>2
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[3,3,2,1]=>[[1,3,6],[2,5,9],[4,8],[7]]=>2
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>2
([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>2
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[3,3,3,1]=>[[1,3,4],[2,6,7],[5,9,10],[8]]=>3
([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,2,1]=>[[1,3,8,9],[2,5],[4,7],[6]]=>1
([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>1
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[3,3,3,2]=>[[1,2,5],[3,4,8],[6,7,11],[9,10]]=>3
([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,2,2]=>[[1,2,9,10],[3,4],[5,6],[7,8]]=>1
([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>1
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,2]=>[[1,2,5,9],[3,4,8],[6,7]]=>1
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)=>[3,3,2,2,1]=>[[1,3,8],[2,5,11],[4,7],[6,10],[9]]=>2
([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[3,3,3,2,1]=>[[1,3,6],[2,5,9],[4,8,12],[7,11],[10]]=>3
([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,2,1]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>1
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,2,2,1]=>[[1,3,10,11],[2,5],[4,7],[6,9],[8]]=>1
([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,2,2]=>[[1,2,7,11],[3,4,10],[5,6],[8,9]]=>1
([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,3,1]=>[[1,3,4,11],[2,6,7],[5,9,10],[8]]=>1
([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,3,2]=>[[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>1
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>2
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,3,2]=>[[1,2,5],[3,4,8],[6,7,11],[9,10]]=>3
([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,2,2]=>[[1,2,9,10],[3,4],[5,6],[7,8]]=>1
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,2]=>[[1,2,5,9],[3,4,8],[6,7]]=>1
([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,3,2]=>[[1,2,5],[3,4,8],[6,7,11],[9,10]]=>3
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>[3,3,3]=>[[1,2,3],[4,5,6],[7,8,9]]=>3
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,2,2]=>[[1,2,7,11],[3,4,10],[5,6],[8,9]]=>1
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,2]=>[[1,2,5,9],[3,4,8],[6,7]]=>1
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,3]=>[[1,2,3,10],[4,5,6],[7,8,9]]=>1
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,3,2]=>[[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>1
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,3,2]=>[[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>1
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,1]=>[[1,3,4,5],[2,7,8,9],[6]]=>2
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,2]=>[[1,2,5,6],[3,4,9,10],[7,8]]=>2
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,3]=>[[1,2,3,7],[4,5,6,11],[8,9,10]]=>2
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,2,1]=>[[1,3,6,7],[2,5,10,11],[4,9],[8]]=>2
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,2,2]=>[[1,2,7,11],[3,4,10],[5,6],[8,9]]=>1
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,3,1]=>[[1,3,4,11],[2,6,7],[5,9,10],[8]]=>1
([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[4,3,2,2,1]=>[[1,3,8,12],[2,5,11],[4,7],[6,10],[9]]=>1
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>2
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,3,1]=>[[1,3,4,8],[2,6,7,12],[5,10,11],[9]]=>2
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,3,2]=>[[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,3,2]=>[[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]]=>2
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,3,2]=>[[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>1
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,3,2]=>[[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]]=>2
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,3,2]=>[[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]]=>2
([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,2,2]=>[[1,2,7,11],[3,4,10],[5,6],[8,9]]=>1
([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[4,3,3,2]=>[[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>1
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[4,3,2,2]=>[[1,2,7,11],[3,4,10],[5,6],[8,9]]=>1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,3,3,2]=>[[1,2,5],[3,4,8],[6,7,11],[9,10]]=>3
([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[4,3,2,2]=>[[1,2,7,11],[3,4,10],[5,6],[8,9]]=>1
([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,3,2]=>[[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>1
([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,3,2]=>[[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>1
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,2,2]=>[[1,2,7,11],[3,4,10],[5,6],[8,9]]=>1
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,2]=>[[1,2,5,6],[3,4,9,10],[7,8]]=>2
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>2
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,3]=>[[1,2,3,10],[4,5,6],[7,8,9]]=>1
([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,3]=>[[1,2,3,7],[4,5,6,11],[8,9,10]]=>2
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[4,3,2,2]=>[[1,2,7,11],[3,4,10],[5,6],[8,9]]=>1
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,3,2]=>[[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>1
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,3,2]=>[[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]]=>2
([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,2]=>[[1,2,5,6],[3,4,9,10],[7,8]]=>2
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,3]=>[[1,2,3,7],[4,5,6,11],[8,9,10]]=>2
([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>1
([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)=>[3,3,2,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>2
([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[3,3,3]=>[[1,2,3],[4,5,6],[7,8,9]]=>3
([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,2,2]=>[[1,2,9,10],[3,4],[5,6],[7,8]]=>1
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[3,3,3,2]=>[[1,2,5],[3,4,8],[6,7,11],[9,10]]=>3
([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[3,3,3,2]=>[[1,2,5],[3,4,8],[6,7,11],[9,10]]=>3
([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[4,2,2,2]=>[[1,2,9,10],[3,4],[5,6],[7,8]]=>1
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[4,3,2]=>[[1,2,5,9],[3,4,8],[6,7]]=>1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[4,3,3]=>[[1,2,3,10],[4,5,6],[7,8,9]]=>1
([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>1
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>2
([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2,2]=>[[1,2,7,8,9],[3,4],[5,6]]=>1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,3,2]=>[[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]]=>2
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,3,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>1
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2,2]=>[[1,2,7,8,9],[3,4],[5,6]]=>1
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,3,2]=>[[1,2,5,9,10],[3,4,8],[6,7]]=>1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,3,3]=>[[1,2,3,10,11],[4,5,6],[7,8,9]]=>1
([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,3,2,1]=>[[1,3,6,13],[2,5,9],[4,8,12],[7,11],[10]]=>1
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[4,4,2,2,1]=>[[1,3,8,9],[2,5,12,13],[4,7],[6,11],[10]]=>2
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>2
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[4,4,3,2]=>[[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]]=>2
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,4,1]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>1
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,3,2]=>[[1,2,5,9,10],[3,4,8],[6,7]]=>1
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,4,2]=>[[1,2,5,6,11],[3,4,9,10],[7,8]]=>1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,3,3]=>[[1,2,3,10,11],[4,5,6],[7,8,9]]=>1
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,4,3]=>[[1,2,3,7,12],[4,5,6,11],[8,9,10]]=>1
([(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>2
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,4,2]=>[[1,2,5,6,11],[3,4,9,10],[7,8]]=>1
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,3,3]=>[[1,2,3,10,11],[4,5,6],[7,8,9]]=>1
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,4,3]=>[[1,2,3,7,12],[4,5,6,11],[8,9,10]]=>1
([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[3,3,3,2]=>[[1,2,5],[3,4,8],[6,7,11],[9,10]]=>3
([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3]=>[[1,2,3,7],[4,5,6]]=>1
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[4,3,2]=>[[1,2,5,9],[3,4,8],[6,7]]=>1
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,3]=>[[1,2,3,10],[4,5,6],[7,8,9]]=>1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>2
([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,3,2]=>[[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>1
([(0,3),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,3,2]=>[[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>1
([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,3,2]=>[[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]]=>2
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[4,3,2,2]=>[[1,2,7,11],[3,4,10],[5,6],[8,9]]=>1
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[4,3,3]=>[[1,2,3,10],[4,5,6],[7,8,9]]=>1
([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3,3,2]=>[[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>1
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,3]=>[[1,2,3,7],[4,5,6,11],[8,9,10]]=>2
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,2,2]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>2
([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,3]=>[[1,2,3,7],[4,5,6,11],[8,9,10]]=>2
([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2,2]=>[[1,2,7,8,9],[3,4],[5,6]]=>1
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>1
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,3]=>[[1,2,3,7],[4,5,6,11],[8,9,10]]=>2
([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[4,4,3,2]=>[[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]]=>2
([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,3,2]=>[[1,2,5,9,10],[3,4,8],[6,7]]=>1
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2,2,2]=>[[1,2,9,10,11],[3,4],[5,6],[7,8]]=>1
([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,3,3]=>[[1,2,3,10,11],[4,5,6],[7,8,9]]=>1
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,4]=>[[1,2,3,4,9],[5,6,7,8]]=>1
([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[4,3,3,2]=>[[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>1
([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,4,3,2]=>[[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]]=>2
([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,4,2]=>[[1,2,5,6,11],[3,4,9,10],[7,8]]=>1
([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,3,2,2]=>[[1,2,7,11,12],[3,4,10],[5,6],[8,9]]=>1
([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,4,3]=>[[1,2,3,7,12],[4,5,6,11],[8,9,10]]=>1
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>2
([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,3,3,2]=>[[1,2,5,12,13],[3,4,8],[6,7,11],[9,10]]=>1
([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,4,2,2]=>[[1,2,7,8,13],[3,4,11,12],[5,6],[9,10]]=>1
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,4,3]=>[[1,2,3,7,12],[4,5,6,11],[8,9,10]]=>1
([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]=>[[1,3,4,5,6,7],[2]]=>1
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,3]=>[[1,2,3,7,8,9],[4,5,6]]=>1
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,4]=>[[1,2,3,4,9,10],[5,6,7,8]]=>1
([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,4,3,2]=>[[1,2,5,9,14],[3,4,8,13],[6,7,12],[10,11]]=>1
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,6]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>2
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]=>[[1,2,3,4,5,6,7]]=>1
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Description
The row containing the largest entry of a standard tableau.
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reading tableau
Description
Return the RSK recording tableau of the reading word of the (standard) tableau $T$ labeled down (in English convention) each column to the shape of a partition.
Map
clique sizes
Description
The integer partition of the sizes of the maximal cliques of a graph.
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