Identifier
Mp00017: Binary trees to 312-avoiding permutationPermutations
Mp00240: Permutations weak exceedance partitionSet partitions
Mp00112: Set partitions complement Set partitions
Images
=>
Cc0010;cc-rep-0Cc0009;cc-rep-2Cc0009;cc-rep-3
[.,.]=>[1]=>{{1}}=>{{1}} [.,[.,.]]=>[2,1]=>{{1,2}}=>{{1,2}} [[.,.],.]=>[1,2]=>{{1},{2}}=>{{1},{2}} [.,[.,[.,.]]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}} [.,[[.,.],.]]=>[2,3,1]=>{{1,2,3}}=>{{1,2,3}} [[.,.],[.,.]]=>[1,3,2]=>{{1},{2,3}}=>{{1,2},{3}} [[.,[.,.]],.]=>[2,1,3]=>{{1,2},{3}}=>{{1},{2,3}} [[[.,.],.],.]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}} [.,[.,[.,[.,.]]]]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,4},{2,3}} [.,[.,[[.,.],.]]]=>[3,4,2,1]=>{{1,3},{2,4}}=>{{1,3},{2,4}} [.,[[.,.],[.,.]]]=>[2,4,3,1]=>{{1,2,4},{3}}=>{{1,3,4},{2}} [.,[[.,[.,.]],.]]=>[3,2,4,1]=>{{1,3,4},{2}}=>{{1,2,4},{3}} [.,[[[.,.],.],.]]=>[2,3,4,1]=>{{1,2,3,4}}=>{{1,2,3,4}} [[.,.],[.,[.,.]]]=>[1,4,3,2]=>{{1},{2,4},{3}}=>{{1,3},{2},{4}} [[.,.],[[.,.],.]]=>[1,3,4,2]=>{{1},{2,3,4}}=>{{1,2,3},{4}} [[.,[.,.]],[.,.]]=>[2,1,4,3]=>{{1,2},{3,4}}=>{{1,2},{3,4}} [[[.,.],.],[.,.]]=>[1,2,4,3]=>{{1},{2},{3,4}}=>{{1,2},{3},{4}} [[.,[.,[.,.]]],.]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1},{2,4},{3}} [[.,[[.,.],.]],.]=>[2,3,1,4]=>{{1,2,3},{4}}=>{{1},{2,3,4}} [[[.,.],[.,.]],.]=>[1,3,2,4]=>{{1},{2,3},{4}}=>{{1},{2,3},{4}} [[[.,[.,.]],.],.]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1},{2},{3,4}} [[[[.,.],.],.],.]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}} [.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,5},{2,4},{3}} [.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>{{1,4},{2,5},{3}}=>{{1,4},{2,5},{3}} [.,[.,[[.,.],[.,.]]]]=>[3,5,4,2,1]=>{{1,3,4},{2,5}}=>{{1,4},{2,3,5}} [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}} [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>{{1,3,5},{2,4}}=>{{1,3,5},{2,4}} [.,[[.,.],[.,[.,.]]]]=>[2,5,4,3,1]=>{{1,2,5},{3,4}}=>{{1,4,5},{2,3}} [.,[[.,.],[[.,.],.]]]=>[2,4,5,3,1]=>{{1,2,4},{3,5}}=>{{1,3},{2,4,5}} [.,[[.,[.,.]],[.,.]]]=>[3,2,5,4,1]=>{{1,3,5},{2},{4}}=>{{1,3,5},{2},{4}} [.,[[[.,.],.],[.,.]]]=>[2,3,5,4,1]=>{{1,2,3,5},{4}}=>{{1,3,4,5},{2}} [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>{{1,4,5},{2,3}}=>{{1,2,5},{3,4}} [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>{{1,3},{2,4,5}}=>{{1,2,4},{3,5}} [.,[[[.,.],[.,.]],.]]=>[2,4,3,5,1]=>{{1,2,4,5},{3}}=>{{1,2,4,5},{3}} [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>{{1,3,4,5},{2}}=>{{1,2,3,5},{4}} [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}} [[.,.],[.,[.,[.,.]]]]=>[1,5,4,3,2]=>{{1},{2,5},{3,4}}=>{{1,4},{2,3},{5}} [[.,.],[.,[[.,.],.]]]=>[1,4,5,3,2]=>{{1},{2,4},{3,5}}=>{{1,3},{2,4},{5}} [[.,.],[[.,.],[.,.]]]=>[1,3,5,4,2]=>{{1},{2,3,5},{4}}=>{{1,3,4},{2},{5}} [[.,.],[[.,[.,.]],.]]=>[1,4,3,5,2]=>{{1},{2,4,5},{3}}=>{{1,2,4},{3},{5}} [[.,.],[[[.,.],.],.]]=>[1,3,4,5,2]=>{{1},{2,3,4,5}}=>{{1,2,3,4},{5}} [[.,[.,.]],[.,[.,.]]]=>[2,1,5,4,3]=>{{1,2},{3,5},{4}}=>{{1,3},{2},{4,5}} [[.,[.,.]],[[.,.],.]]=>[2,1,4,5,3]=>{{1,2},{3,4,5}}=>{{1,2,3},{4,5}} [[[.,.],.],[.,[.,.]]]=>[1,2,5,4,3]=>{{1},{2},{3,5},{4}}=>{{1,3},{2},{4},{5}} [[[.,.],.],[[.,.],.]]=>[1,2,4,5,3]=>{{1},{2},{3,4,5}}=>{{1,2,3},{4},{5}} [[.,[.,[.,.]]],[.,.]]=>[3,2,1,5,4]=>{{1,3},{2},{4,5}}=>{{1,2},{3,5},{4}} [[.,[[.,.],.]],[.,.]]=>[2,3,1,5,4]=>{{1,2,3},{4,5}}=>{{1,2},{3,4,5}} [[[.,.],[.,.]],[.,.]]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>{{1,2},{3,4},{5}} [[[.,[.,.]],.],[.,.]]=>[2,1,3,5,4]=>{{1,2},{3},{4,5}}=>{{1,2},{3},{4,5}} [[[[.,.],.],.],[.,.]]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1,2},{3},{4},{5}} [[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>{{1,4},{2,3},{5}}=>{{1},{2,5},{3,4}} [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>{{1,3},{2,4},{5}}=>{{1},{2,4},{3,5}} [[.,[[.,.],[.,.]]],.]=>[2,4,3,1,5]=>{{1,2,4},{3},{5}}=>{{1},{2,4,5},{3}} [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>{{1,3,4},{2},{5}}=>{{1},{2,3,5},{4}} [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>{{1,2,3,4},{5}}=>{{1},{2,3,4,5}} [[[.,.],[.,[.,.]]],.]=>[1,4,3,2,5]=>{{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}} [[[.,.],[[.,.],.]],.]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}} [[[.,[.,.]],[.,.]],.]=>[2,1,4,3,5]=>{{1,2},{3,4},{5}}=>{{1},{2,3},{4,5}} [[[[.,.],.],[.,.]],.]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2,3},{4},{5}} [[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1},{2},{3,5},{4}} [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>{{1,2,3},{4},{5}}=>{{1},{2},{3,4,5}} [[[[.,.],[.,.]],.],.]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2},{3,4},{5}} [[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1},{2},{3},{4,5}} [[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}} [.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,6},{2,5},{3,4}} [.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>{{1,5},{2,6},{3,4}}=>{{1,5},{2,6},{3,4}} [.,[.,[.,[[.,.],[.,.]]]]]=>[4,6,5,3,2,1]=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,4},{3,6}} [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>{{1,5},{2,4},{3,6}}=>{{1,4},{2,6},{3,5}} [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>{{1,4},{2,5},{3,6}}=>{{1,4},{2,5},{3,6}} [.,[.,[[.,.],[.,[.,.]]]]]=>[3,6,5,4,2,1]=>{{1,3,5},{2,6},{4}}=>{{1,5},{2,4,6},{3}} [.,[.,[[.,.],[[.,.],.]]]]=>[3,5,6,4,2,1]=>{{1,3,6},{2,5},{4}}=>{{1,4,6},{2,5},{3}} [.,[.,[[.,[.,.]],[.,.]]]]=>[4,3,6,5,2,1]=>{{1,4,5},{2,3,6}}=>{{1,4,5},{2,3,6}} [.,[.,[[[.,.],.],[.,.]]]]=>[3,4,6,5,2,1]=>{{1,3,6},{2,4,5}}=>{{1,4,6},{2,3,5}} [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>{{1,5},{2,4,6},{3}}=>{{1,3,5},{2,6},{4}} [.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>{{1,4,6},{2,5},{3}}=>{{1,3,6},{2,5},{4}} [.,[.,[[[.,.],[.,.]],.]]]=>[3,5,4,6,2,1]=>{{1,3,4,6},{2,5}}=>{{1,3,4,6},{2,5}} [.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>{{1,4,6},{2,3,5}}=>{{1,3,6},{2,4,5}} [.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>{{1,3,5},{2,4,6}}=>{{1,3,5},{2,4,6}} [.,[[.,.],[.,[.,[.,.]]]]]=>[2,6,5,4,3,1]=>{{1,2,6},{3,5},{4}}=>{{1,5,6},{2,4},{3}} [.,[[.,.],[.,[[.,.],.]]]]=>[2,5,6,4,3,1]=>{{1,2,5},{3,6},{4}}=>{{1,4},{2,5,6},{3}} [.,[[.,.],[[.,.],[.,.]]]]=>[2,4,6,5,3,1]=>{{1,2,4,5},{3,6}}=>{{1,4},{2,3,5,6}} [.,[[.,.],[[.,[.,.]],.]]]=>[2,5,4,6,3,1]=>{{1,2,5},{3,4,6}}=>{{1,3,4},{2,5,6}} [.,[[.,.],[[[.,.],.],.]]]=>[2,4,5,6,3,1]=>{{1,2,4,6},{3,5}}=>{{1,3,5,6},{2,4}} [.,[[.,[.,.]],[.,[.,.]]]]=>[3,2,6,5,4,1]=>{{1,3,6},{2},{4,5}}=>{{1,4,6},{2,3},{5}} [.,[[.,[.,.]],[[.,.],.]]]=>[3,2,5,6,4,1]=>{{1,3,5},{2},{4,6}}=>{{1,3},{2,4,6},{5}} [.,[[[.,.],.],[.,[.,.]]]]=>[2,3,6,5,4,1]=>{{1,2,3,6},{4,5}}=>{{1,4,5,6},{2,3}} [.,[[[.,.],.],[[.,.],.]]]=>[2,3,5,6,4,1]=>{{1,2,3,5},{4,6}}=>{{1,3},{2,4,5,6}} [.,[[.,[.,[.,.]]],[.,.]]]=>[4,3,2,6,5,1]=>{{1,4,6},{2,3},{5}}=>{{1,3,6},{2},{4,5}} [.,[[.,[[.,.],.]],[.,.]]]=>[3,4,2,6,5,1]=>{{1,3},{2,4,6},{5}}=>{{1,3,5},{2},{4,6}} [.,[[[.,.],[.,.]],[.,.]]]=>[2,4,3,6,5,1]=>{{1,2,4,6},{3},{5}}=>{{1,3,5,6},{2},{4}} [.,[[[.,[.,.]],.],[.,.]]]=>[3,2,4,6,5,1]=>{{1,3,4,6},{2},{5}}=>{{1,3,4,6},{2},{5}} [.,[[[[.,.],.],.],[.,.]]]=>[2,3,4,6,5,1]=>{{1,2,3,4,6},{5}}=>{{1,3,4,5,6},{2}} [.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>{{1,5,6},{2,4},{3}}=>{{1,2,6},{3,5},{4}} [.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>{{1,4},{2,5,6},{3}}=>{{1,2,5},{3,6},{4}} [.,[[.,[[.,.],[.,.]]],.]]=>[3,5,4,2,6,1]=>{{1,3,4},{2,5,6}}=>{{1,2,5},{3,4,6}} [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>{{1,4},{2,3,5,6}}=>{{1,2,4,5},{3,6}} [.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>{{1,3,5,6},{2,4}}=>{{1,2,4,6},{3,5}} [.,[[[.,.],[.,[.,.]]],.]]=>[2,5,4,3,6,1]=>{{1,2,5,6},{3,4}}=>{{1,2,5,6},{3,4}} [.,[[[.,.],[[.,.],.]],.]]=>[2,4,5,3,6,1]=>{{1,2,4},{3,5,6}}=>{{1,2,4},{3,5,6}} [.,[[[.,[.,.]],[.,.]],.]]=>[3,2,5,4,6,1]=>{{1,3,5,6},{2},{4}}=>{{1,2,4,6},{3},{5}} [.,[[[[.,.],.],[.,.]],.]]=>[2,3,5,4,6,1]=>{{1,2,3,5,6},{4}}=>{{1,2,4,5,6},{3}} [.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>{{1,4,5,6},{2,3}}=>{{1,2,3,6},{4,5}} [.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>{{1,3},{2,4,5,6}}=>{{1,2,3,5},{4,6}} [.,[[[[.,.],[.,.]],.],.]]=>[2,4,3,5,6,1]=>{{1,2,4,5,6},{3}}=>{{1,2,3,5,6},{4}} [.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>{{1,3,4,5,6},{2}}=>{{1,2,3,4,6},{5}} [.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}} [[.,.],[.,[.,[.,[.,.]]]]]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1,5},{2,4},{3},{6}} [[.,.],[.,[.,[[.,.],.]]]]=>[1,5,6,4,3,2]=>{{1},{2,5},{3,6},{4}}=>{{1,4},{2,5},{3},{6}} [[.,.],[.,[[.,.],[.,.]]]]=>[1,4,6,5,3,2]=>{{1},{2,4,5},{3,6}}=>{{1,4},{2,3,5},{6}} [[.,.],[.,[[.,[.,.]],.]]]=>[1,5,4,6,3,2]=>{{1},{2,5},{3,4,6}}=>{{1,3,4},{2,5},{6}} [[.,.],[.,[[[.,.],.],.]]]=>[1,4,5,6,3,2]=>{{1},{2,4,6},{3,5}}=>{{1,3,5},{2,4},{6}} [[.,.],[[.,.],[.,[.,.]]]]=>[1,3,6,5,4,2]=>{{1},{2,3,6},{4,5}}=>{{1,4,5},{2,3},{6}} [[.,.],[[.,.],[[.,.],.]]]=>[1,3,5,6,4,2]=>{{1},{2,3,5},{4,6}}=>{{1,3},{2,4,5},{6}} [[.,.],[[.,[.,.]],[.,.]]]=>[1,4,3,6,5,2]=>{{1},{2,4,6},{3},{5}}=>{{1,3,5},{2},{4},{6}} [[.,.],[[[.,.],.],[.,.]]]=>[1,3,4,6,5,2]=>{{1},{2,3,4,6},{5}}=>{{1,3,4,5},{2},{6}} [[.,.],[[.,[.,[.,.]]],.]]=>[1,5,4,3,6,2]=>{{1},{2,5,6},{3,4}}=>{{1,2,5},{3,4},{6}} [[.,.],[[.,[[.,.],.]],.]]=>[1,4,5,3,6,2]=>{{1},{2,4},{3,5,6}}=>{{1,2,4},{3,5},{6}} [[.,.],[[[.,.],[.,.]],.]]=>[1,3,5,4,6,2]=>{{1},{2,3,5,6},{4}}=>{{1,2,4,5},{3},{6}} [[.,.],[[[.,[.,.]],.],.]]=>[1,4,3,5,6,2]=>{{1},{2,4,5,6},{3}}=>{{1,2,3,5},{4},{6}} [[.,.],[[[[.,.],.],.],.]]=>[1,3,4,5,6,2]=>{{1},{2,3,4,5,6}}=>{{1,2,3,4,5},{6}} [[.,[.,.]],[.,[.,[.,.]]]]=>[2,1,6,5,4,3]=>{{1,2},{3,6},{4,5}}=>{{1,4},{2,3},{5,6}} [[.,[.,.]],[.,[[.,.],.]]]=>[2,1,5,6,4,3]=>{{1,2},{3,5},{4,6}}=>{{1,3},{2,4},{5,6}} [[.,[.,.]],[[.,.],[.,.]]]=>[2,1,4,6,5,3]=>{{1,2},{3,4,6},{5}}=>{{1,3,4},{2},{5,6}} [[.,[.,.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3]=>{{1,2},{3,5,6},{4}}=>{{1,2,4},{3},{5,6}} [[.,[.,.]],[[[.,.],.],.]]=>[2,1,4,5,6,3]=>{{1,2},{3,4,5,6}}=>{{1,2,3,4},{5,6}} [[[.,.],.],[.,[.,[.,.]]]]=>[1,2,6,5,4,3]=>{{1},{2},{3,6},{4,5}}=>{{1,4},{2,3},{5},{6}} [[[.,.],.],[.,[[.,.],.]]]=>[1,2,5,6,4,3]=>{{1},{2},{3,5},{4,6}}=>{{1,3},{2,4},{5},{6}} [[[.,.],.],[[.,.],[.,.]]]=>[1,2,4,6,5,3]=>{{1},{2},{3,4,6},{5}}=>{{1,3,4},{2},{5},{6}} [[[.,.],.],[[.,[.,.]],.]]=>[1,2,5,4,6,3]=>{{1},{2},{3,5,6},{4}}=>{{1,2,4},{3},{5},{6}} [[[.,.],.],[[[.,.],.],.]]=>[1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}}=>{{1,2,3,4},{5},{6}} [[.,[.,[.,.]]],[.,[.,.]]]=>[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}} [[.,[.,[.,.]]],[[.,.],.]]=>[3,2,1,5,6,4]=>{{1,3},{2},{4,5,6}}=>{{1,2,3},{4,6},{5}} [[.,[[.,.],.]],[.,[.,.]]]=>[2,3,1,6,5,4]=>{{1,2,3},{4,6},{5}}=>{{1,3},{2},{4,5,6}} [[.,[[.,.],.]],[[.,.],.]]=>[2,3,1,5,6,4]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}} [[[.,.],[.,.]],[.,[.,.]]]=>[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}}=>{{1,3},{2},{4,5},{6}} [[[.,.],[.,.]],[[.,.],.]]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>{{1,2,3},{4,5},{6}} [[[.,[.,.]],.],[.,[.,.]]]=>[2,1,3,6,5,4]=>{{1,2},{3},{4,6},{5}}=>{{1,3},{2},{4},{5,6}} [[[.,[.,.]],.],[[.,.],.]]=>[2,1,3,5,6,4]=>{{1,2},{3},{4,5,6}}=>{{1,2,3},{4},{5,6}} [[[[.,.],.],.],[.,[.,.]]]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}}=>{{1,3},{2},{4},{5},{6}} [[[[.,.],.],.],[[.,.],.]]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1,2,3},{4},{5},{6}} [[.,[.,[.,[.,.]]]],[.,.]]=>[4,3,2,1,6,5]=>{{1,4},{2,3},{5,6}}=>{{1,2},{3,6},{4,5}} [[.,[.,[[.,.],.]]],[.,.]]=>[3,4,2,1,6,5]=>{{1,3},{2,4},{5,6}}=>{{1,2},{3,5},{4,6}} [[.,[[.,.],[.,.]]],[.,.]]=>[2,4,3,1,6,5]=>{{1,2,4},{3},{5,6}}=>{{1,2},{3,5,6},{4}} [[.,[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,6,5]=>{{1,3,4},{2},{5,6}}=>{{1,2},{3,4,6},{5}} [[.,[[[.,.],.],.]],[.,.]]=>[2,3,4,1,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2},{3,4,5,6}} [[[.,.],[.,[.,.]]],[.,.]]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>{{1,2},{3,5},{4},{6}} [[[.,.],[[.,.],.]],[.,.]]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1,2},{3,4,5},{6}} [[[.,[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}} [[[[.,.],.],[.,.]],[.,.]]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1,2},{3,4},{5},{6}} [[[.,[.,[.,.]]],.],[.,.]]=>[3,2,1,4,6,5]=>{{1,3},{2},{4},{5,6}}=>{{1,2},{3},{4,6},{5}} [[[.,[[.,.],.]],.],[.,.]]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2},{3},{4,5,6}} [[[[.,.],[.,.]],.],[.,.]]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1,2},{3},{4,5},{6}} [[[[.,[.,.]],.],.],[.,.]]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}} [[[[[.,.],.],.],.],[.,.]]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5},{6}} [[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1},{2,6},{3,5},{4}} [[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>{{1,4},{2,5},{3},{6}}=>{{1},{2,5},{3,6},{4}} [[.,[.,[[.,.],[.,.]]]],.]=>[3,5,4,2,1,6]=>{{1,3,4},{2,5},{6}}=>{{1},{2,5},{3,4,6}} [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>{{1,4},{2,3,5},{6}}=>{{1},{2,4,5},{3,6}} [[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>{{1,3,5},{2,4},{6}}=>{{1},{2,4,6},{3,5}} [[.,[[.,.],[.,[.,.]]]],.]=>[2,5,4,3,1,6]=>{{1,2,5},{3,4},{6}}=>{{1},{2,5,6},{3,4}} [[.,[[.,.],[[.,.],.]]],.]=>[2,4,5,3,1,6]=>{{1,2,4},{3,5},{6}}=>{{1},{2,4},{3,5,6}} [[.,[[.,[.,.]],[.,.]]],.]=>[3,2,5,4,1,6]=>{{1,3,5},{2},{4},{6}}=>{{1},{2,4,6},{3},{5}} [[.,[[[.,.],.],[.,.]]],.]=>[2,3,5,4,1,6]=>{{1,2,3,5},{4},{6}}=>{{1},{2,4,5,6},{3}} [[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>{{1,4,5},{2,3},{6}}=>{{1},{2,3,6},{4,5}} [[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>{{1,3},{2,4,5},{6}}=>{{1},{2,3,5},{4,6}} [[.,[[[.,.],[.,.]],.]],.]=>[2,4,3,5,1,6]=>{{1,2,4,5},{3},{6}}=>{{1},{2,3,5,6},{4}} [[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>{{1,3,4,5},{2},{6}}=>{{1},{2,3,4,6},{5}} [[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>{{1,2,3,4,5},{6}}=>{{1},{2,3,4,5,6}} [[[.,.],[.,[.,[.,.]]]],.]=>[1,5,4,3,2,6]=>{{1},{2,5},{3,4},{6}}=>{{1},{2,5},{3,4},{6}} [[[.,.],[.,[[.,.],.]]],.]=>[1,4,5,3,2,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,4},{3,5},{6}} [[[.,.],[[.,.],[.,.]]],.]=>[1,3,5,4,2,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,4,5},{3},{6}} [[[.,.],[[.,[.,.]],.]],.]=>[1,4,3,5,2,6]=>{{1},{2,4,5},{3},{6}}=>{{1},{2,3,5},{4},{6}} [[[.,.],[[[.,.],.],.]],.]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}} [[[.,[.,.]],[.,[.,.]]],.]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>{{1},{2,4},{3},{5,6}} [[[.,[.,.]],[[.,.],.]],.]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>{{1},{2,3,4},{5,6}} [[[[.,.],.],[.,[.,.]]],.]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2,4},{3},{5},{6}} [[[[.,.],.],[[.,.],.]],.]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2,3,4},{5},{6}} [[[.,[.,[.,.]]],[.,.]],.]=>[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}}=>{{1},{2,3},{4,6},{5}} [[[.,[[.,.],.]],[.,.]],.]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1},{2,3},{4,5,6}} [[[[.,.],[.,.]],[.,.]],.]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}} [[[[.,[.,.]],.],[.,.]],.]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1},{2,3},{4},{5,6}} [[[[[.,.],.],.],[.,.]],.]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2,3},{4},{5},{6}} [[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>{{1,4},{2,3},{5},{6}}=>{{1},{2},{3,6},{4,5}} [[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1},{2},{3,5},{4,6}} [[[.,[[.,.],[.,.]]],.],.]=>[2,4,3,1,5,6]=>{{1,2,4},{3},{5},{6}}=>{{1},{2},{3,5,6},{4}} [[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>{{1,3,4},{2},{5},{6}}=>{{1},{2},{3,4,6},{5}} [[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1},{2},{3,4,5,6}} [[[[.,.],[.,[.,.]]],.],.]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2},{3,5},{4},{6}} [[[[.,.],[[.,.],.]],.],.]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2},{3,4,5},{6}} [[[[.,[.,.]],[.,.]],.],.]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5,6}} [[[[[.,.],.],[.,.]],.],.]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}} [[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1},{2},{3},{4,6},{5}} [[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1},{2},{3},{4,5,6}} [[[[[.,.],[.,.]],.],.],.]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2},{3},{4,5},{6}} [[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5,6}} [[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}} [.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}} [.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}} [.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[5,7,6,4,3,2,1]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}} [.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}} [.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}} [.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[4,7,6,5,3,2,1]=>{{1,4,5},{2,7},{3,6}}=>{{1,6},{2,5},{3,4,7}} [.,[.,[.,[[.,.],[[.,.],.]]]]]=>[4,6,7,5,3,2,1]=>{{1,4,5},{2,6},{3,7}}=>{{1,5},{2,6},{3,4,7}} [.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[5,4,7,6,3,2,1]=>{{1,5},{2,4,6},{3,7}}=>{{1,5},{2,4,6},{3,7}} [.,[.,[.,[[[.,.],.],[.,.]]]]]=>[4,5,7,6,3,2,1]=>{{1,4,6},{2,5},{3,7}}=>{{1,5},{2,4,7},{3,6}} [.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>{{1,6},{2,5},{3,4,7}}=>{{1,4,5},{2,7},{3,6}} [.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>{{1,5},{2,6},{3,4,7}}=>{{1,4,5},{2,6},{3,7}} [.,[.,[.,[[[.,.],[.,.]],.]]]]=>[4,6,5,7,3,2,1]=>{{1,4,7},{2,6},{3,5}}=>{{1,4,7},{2,6},{3,5}} [.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>{{1,5},{2,4,7},{3,6}}=>{{1,4,6},{2,5},{3,7}} [.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>{{1,4,7},{2,5},{3,6}}=>{{1,4,7},{2,5},{3,6}} [.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[3,7,6,5,4,2,1]=>{{1,3,6},{2,7},{4,5}}=>{{1,6},{2,5,7},{3,4}} [.,[.,[[.,.],[.,[[.,.],.]]]]]=>[3,6,7,5,4,2,1]=>{{1,3,7},{2,6},{4,5}}=>{{1,5,7},{2,6},{3,4}} [.,[.,[[.,.],[[.,.],[.,.]]]]]=>[3,5,7,6,4,2,1]=>{{1,3,7},{2,5},{4,6}}=>{{1,5,7},{2,4},{3,6}} [.,[.,[[.,.],[[.,[.,.]],.]]]]=>[3,6,5,7,4,2,1]=>{{1,3,5},{2,6},{4,7}}=>{{1,4},{2,6},{3,5,7}} [.,[.,[[.,.],[[[.,.],.],.]]]]=>[3,5,6,7,4,2,1]=>{{1,3,6},{2,5},{4,7}}=>{{1,4},{2,5,7},{3,6}} [.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[4,3,7,6,5,2,1]=>{{1,4,6},{2,3,7},{5}}=>{{1,5,6},{2,4,7},{3}} [.,[.,[[.,[.,.]],[[.,.],.]]]]=>[4,3,6,7,5,2,1]=>{{1,4,7},{2,3,6},{5}}=>{{1,4,7},{2,5,6},{3}} [.,[.,[[[.,.],.],[.,[.,.]]]]]=>[3,4,7,6,5,2,1]=>{{1,3,7},{2,4,6},{5}}=>{{1,5,7},{2,4,6},{3}} [.,[.,[[[.,.],.],[[.,.],.]]]]=>[3,4,6,7,5,2,1]=>{{1,3,6},{2,4,7},{5}}=>{{1,4,6},{2,5,7},{3}} [.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[5,4,3,7,6,2,1]=>{{1,5,6},{2,4,7},{3}}=>{{1,4,6},{2,3,7},{5}} [.,[.,[[.,[[.,.],.]],[.,.]]]]=>[4,5,3,7,6,2,1]=>{{1,4,7},{2,5,6},{3}}=>{{1,4,7},{2,3,6},{5}} [.,[.,[[[.,.],[.,.]],[.,.]]]]=>[3,5,4,7,6,2,1]=>{{1,3,4,7},{2,5,6}}=>{{1,4,5,7},{2,3,6}} [.,[.,[[[.,[.,.]],.],[.,.]]]]=>[4,3,5,7,6,2,1]=>{{1,4,7},{2,3,5,6}}=>{{1,4,7},{2,3,5,6}} [.,[.,[[[[.,.],.],.],[.,.]]]]=>[3,4,5,7,6,2,1]=>{{1,3,5,6},{2,4,7}}=>{{1,4,6},{2,3,5,7}} [.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>{{1,6},{2,5,7},{3,4}}=>{{1,3,6},{2,7},{4,5}} [.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>{{1,5,7},{2,6},{3,4}}=>{{1,3,7},{2,6},{4,5}} [.,[.,[[.,[[.,.],[.,.]]],.]]]=>[4,6,5,3,7,2,1]=>{{1,4},{2,6},{3,5,7}}=>{{1,3,5},{2,6},{4,7}} [.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>{{1,5,7},{2,4},{3,6}}=>{{1,3,7},{2,5},{4,6}} [.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>{{1,4},{2,5,7},{3,6}}=>{{1,3,6},{2,5},{4,7}} [.,[.,[[[.,.],[.,[.,.]]],.]]]=>[3,6,5,4,7,2,1]=>{{1,3,5,7},{2,6},{4}}=>{{1,3,5,7},{2,6},{4}} [.,[.,[[[.,.],[[.,.],.]],.]]]=>[3,5,6,4,7,2,1]=>{{1,3,6},{2,5,7},{4}}=>{{1,3,6},{2,5,7},{4}} [.,[.,[[[.,[.,.]],[.,.]],.]]]=>[4,3,6,5,7,2,1]=>{{1,4,5,7},{2,3,6}}=>{{1,3,4,7},{2,5,6}} [.,[.,[[[[.,.],.],[.,.]],.]]]=>[3,4,6,5,7,2,1]=>{{1,3,6},{2,4,5,7}}=>{{1,3,4,6},{2,5,7}} [.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>{{1,5,7},{2,4,6},{3}}=>{{1,3,7},{2,4,6},{5}} [.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>{{1,4,6},{2,5,7},{3}}=>{{1,3,6},{2,4,7},{5}} [.,[.,[[[[.,.],[.,.]],.],.]]]=>[3,5,4,6,7,2,1]=>{{1,3,4,6},{2,5,7}}=>{{1,3,6},{2,4,5,7}} [.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>{{1,4,6},{2,3,5,7}}=>{{1,3,5,6},{2,4,7}} [.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>{{1,3,5,7},{2,4,6}}=>{{1,3,5,7},{2,4,6}} [.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[2,7,6,5,4,3,1]=>{{1,2,7},{3,6},{4,5}}=>{{1,6,7},{2,5},{3,4}} [.,[[.,.],[.,[.,[[.,.],.]]]]]=>[2,6,7,5,4,3,1]=>{{1,2,6},{3,7},{4,5}}=>{{1,5},{2,6,7},{3,4}} [.,[[.,.],[.,[[.,.],[.,.]]]]]=>[2,5,7,6,4,3,1]=>{{1,2,5},{3,7},{4,6}}=>{{1,5},{2,4},{3,6,7}} [.,[[.,.],[.,[[.,[.,.]],.]]]]=>[2,6,5,7,4,3,1]=>{{1,2,6},{3,5},{4,7}}=>{{1,4},{2,6,7},{3,5}} [.,[[.,.],[.,[[[.,.],.],.]]]]=>[2,5,6,7,4,3,1]=>{{1,2,5},{3,6},{4,7}}=>{{1,4},{2,5},{3,6,7}} [.,[[.,.],[[.,.],[.,[.,.]]]]]=>[2,4,7,6,5,3,1]=>{{1,2,4,6},{3,7},{5}}=>{{1,5},{2,4,6,7},{3}} [.,[[.,.],[[.,.],[[.,.],.]]]]=>[2,4,6,7,5,3,1]=>{{1,2,4,7},{3,6},{5}}=>{{1,4,6,7},{2,5},{3}} [.,[[.,.],[[.,[.,.]],[.,.]]]]=>[2,5,4,7,6,3,1]=>{{1,2,5,6},{3,4,7}}=>{{1,4,5},{2,3,6,7}} [.,[[.,.],[[[.,.],.],[.,.]]]]=>[2,4,5,7,6,3,1]=>{{1,2,4,7},{3,5,6}}=>{{1,4,6,7},{2,3,5}} [.,[[.,.],[[.,[.,[.,.]]],.]]]=>[2,6,5,4,7,3,1]=>{{1,2,6},{3,5,7},{4}}=>{{1,3,5},{2,6,7},{4}} [.,[[.,.],[[.,[[.,.],.]],.]]]=>[2,5,6,4,7,3,1]=>{{1,2,5,7},{3,6},{4}}=>{{1,3,6,7},{2,5},{4}} [.,[[.,.],[[[.,.],[.,.]],.]]]=>[2,4,6,5,7,3,1]=>{{1,2,4,5,7},{3,6}}=>{{1,3,4,6,7},{2,5}} [.,[[.,.],[[[.,[.,.]],.],.]]]=>[2,5,4,6,7,3,1]=>{{1,2,5,7},{3,4,6}}=>{{1,3,6,7},{2,4,5}} [.,[[.,.],[[[[.,.],.],.],.]]]=>[2,4,5,6,7,3,1]=>{{1,2,4,6},{3,5,7}}=>{{1,3,5},{2,4,6,7}} [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[3,2,7,6,5,4,1]=>{{1,3,7},{2},{4,6},{5}}=>{{1,5,7},{2,4},{3},{6}} [.,[[.,[.,.]],[.,[[.,.],.]]]]=>[3,2,6,7,5,4,1]=>{{1,3,6},{2},{4,7},{5}}=>{{1,4},{2,5,7},{3},{6}} [.,[[.,[.,.]],[[.,.],[.,.]]]]=>[3,2,5,7,6,4,1]=>{{1,3,5,6},{2},{4,7}}=>{{1,4},{2,3,5,7},{6}} [.,[[.,[.,.]],[[.,[.,.]],.]]]=>[3,2,6,5,7,4,1]=>{{1,3,6},{2},{4,5,7}}=>{{1,3,4},{2,5,7},{6}} [.,[[.,[.,.]],[[[.,.],.],.]]]=>[3,2,5,6,7,4,1]=>{{1,3,5,7},{2},{4,6}}=>{{1,3,5,7},{2,4},{6}} [.,[[[.,.],.],[.,[.,[.,.]]]]]=>[2,3,7,6,5,4,1]=>{{1,2,3,7},{4,6},{5}}=>{{1,5,6,7},{2,4},{3}} [.,[[[.,.],.],[.,[[.,.],.]]]]=>[2,3,6,7,5,4,1]=>{{1,2,3,6},{4,7},{5}}=>{{1,4},{2,5,6,7},{3}} [.,[[[.,.],.],[[.,.],[.,.]]]]=>[2,3,5,7,6,4,1]=>{{1,2,3,5,6},{4,7}}=>{{1,4},{2,3,5,6,7}} [.,[[[.,.],.],[[.,[.,.]],.]]]=>[2,3,6,5,7,4,1]=>{{1,2,3,6},{4,5,7}}=>{{1,3,4},{2,5,6,7}} [.,[[[.,.],.],[[[.,.],.],.]]]=>[2,3,5,6,7,4,1]=>{{1,2,3,5,7},{4,6}}=>{{1,3,5,6,7},{2,4}} [.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[4,3,2,7,6,5,1]=>{{1,4,7},{2,3},{5,6}}=>{{1,4,7},{2,3},{5,6}} [.,[[.,[.,[.,.]]],[[.,.],.]]]=>[4,3,2,6,7,5,1]=>{{1,4,6},{2,3},{5,7}}=>{{1,3},{2,4,7},{5,6}} [.,[[.,[[.,.],.]],[.,[.,.]]]]=>[3,4,2,7,6,5,1]=>{{1,3},{2,4,7},{5,6}}=>{{1,4,6},{2,3},{5,7}} [.,[[.,[[.,.],.]],[[.,.],.]]]=>[3,4,2,6,7,5,1]=>{{1,3},{2,4,6},{5,7}}=>{{1,3},{2,4,6},{5,7}} [.,[[[.,.],[.,.]],[.,[.,.]]]]=>[2,4,3,7,6,5,1]=>{{1,2,4,7},{3},{5,6}}=>{{1,4,6,7},{2,3},{5}} [.,[[[.,.],[.,.]],[[.,.],.]]]=>[2,4,3,6,7,5,1]=>{{1,2,4,6},{3},{5,7}}=>{{1,3},{2,4,6,7},{5}} [.,[[[.,[.,.]],.],[.,[.,.]]]]=>[3,2,4,7,6,5,1]=>{{1,3,4,7},{2},{5,6}}=>{{1,4,5,7},{2,3},{6}} [.,[[[.,[.,.]],.],[[.,.],.]]]=>[3,2,4,6,7,5,1]=>{{1,3,4,6},{2},{5,7}}=>{{1,3},{2,4,5,7},{6}} [.,[[[[.,.],.],.],[.,[.,.]]]]=>[2,3,4,7,6,5,1]=>{{1,2,3,4,7},{5,6}}=>{{1,4,5,6,7},{2,3}} [.,[[[[.,.],.],.],[[.,.],.]]]=>[2,3,4,6,7,5,1]=>{{1,2,3,4,6},{5,7}}=>{{1,3},{2,4,5,6,7}} [.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[5,4,3,2,7,6,1]=>{{1,5,7},{2,4},{3},{6}}=>{{1,3,7},{2},{4,6},{5}} [.,[[.,[.,[[.,.],.]]],[.,.]]]=>[4,5,3,2,7,6,1]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2},{4,7},{5}} [.,[[.,[[.,.],[.,.]]],[.,.]]]=>[3,5,4,2,7,6,1]=>{{1,3,4},{2,5,7},{6}}=>{{1,3,6},{2},{4,5,7}} [.,[[.,[[.,[.,.]],.]],[.,.]]]=>[4,3,5,2,7,6,1]=>{{1,4},{2,3,5,7},{6}}=>{{1,3,5,6},{2},{4,7}} [.,[[.,[[[.,.],.],.]],[.,.]]]=>[3,4,5,2,7,6,1]=>{{1,3,5,7},{2,4},{6}}=>{{1,3,5,7},{2},{4,6}} [.,[[[.,.],[.,[.,.]]],[.,.]]]=>[2,5,4,3,7,6,1]=>{{1,2,5,7},{3,4},{6}}=>{{1,3,6,7},{2},{4,5}} [.,[[[.,.],[[.,.],.]],[.,.]]]=>[2,4,5,3,7,6,1]=>{{1,2,4},{3,5,7},{6}}=>{{1,3,5},{2},{4,6,7}} [.,[[[.,[.,.]],[.,.]],[.,.]]]=>[3,2,5,4,7,6,1]=>{{1,3,5,7},{2},{4},{6}}=>{{1,3,5,7},{2},{4},{6}} [.,[[[[.,.],.],[.,.]],[.,.]]]=>[2,3,5,4,7,6,1]=>{{1,2,3,5,7},{4},{6}}=>{{1,3,5,6,7},{2},{4}} [.,[[[.,[.,[.,.]]],.],[.,.]]]=>[4,3,2,5,7,6,1]=>{{1,4,5,7},{2,3},{6}}=>{{1,3,4,7},{2},{5,6}} [.,[[[.,[[.,.],.]],.],[.,.]]]=>[3,4,2,5,7,6,1]=>{{1,3},{2,4,5,7},{6}}=>{{1,3,4,6},{2},{5,7}} [.,[[[[.,.],[.,.]],.],[.,.]]]=>[2,4,3,5,7,6,1]=>{{1,2,4,5,7},{3},{6}}=>{{1,3,4,6,7},{2},{5}} [.,[[[[.,[.,.]],.],.],[.,.]]]=>[3,2,4,5,7,6,1]=>{{1,3,4,5,7},{2},{6}}=>{{1,3,4,5,7},{2},{6}} [.,[[[[[.,.],.],.],.],[.,.]]]=>[2,3,4,5,7,6,1]=>{{1,2,3,4,5,7},{6}}=>{{1,3,4,5,6,7},{2}} [.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>{{1,6,7},{2,5},{3,4}}=>{{1,2,7},{3,6},{4,5}} [.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>{{1,5},{2,6,7},{3,4}}=>{{1,2,6},{3,7},{4,5}} [.,[[.,[.,[[.,.],[.,.]]]],.]]=>[4,6,5,3,2,7,1]=>{{1,4},{2,6,7},{3,5}}=>{{1,2,6},{3,5},{4,7}} [.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>{{1,5},{2,4},{3,6,7}}=>{{1,2,5},{3,7},{4,6}} [.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>{{1,4},{2,5},{3,6,7}}=>{{1,2,5},{3,6},{4,7}} [.,[[.,[[.,.],[.,[.,.]]]],.]]=>[3,6,5,4,2,7,1]=>{{1,3,5},{2,6,7},{4}}=>{{1,2,6},{3,5,7},{4}} [.,[[.,[[.,.],[[.,.],.]]],.]]=>[3,5,6,4,2,7,1]=>{{1,3,6,7},{2,5},{4}}=>{{1,2,5,7},{3,6},{4}} [.,[[.,[[.,[.,.]],[.,.]]],.]]=>[4,3,6,5,2,7,1]=>{{1,4,5},{2,3,6,7}}=>{{1,2,5,6},{3,4,7}} [.,[[.,[[[.,.],.],[.,.]]],.]]=>[3,4,6,5,2,7,1]=>{{1,3,6,7},{2,4,5}}=>{{1,2,5,7},{3,4,6}} [.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>{{1,5},{2,4,6,7},{3}}=>{{1,2,4,6},{3,7},{5}} [.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>{{1,4,6,7},{2,5},{3}}=>{{1,2,4,7},{3,6},{5}} [.,[[.,[[[.,.],[.,.]],.]],.]]=>[3,5,4,6,2,7,1]=>{{1,3,4,6,7},{2,5}}=>{{1,2,4,5,7},{3,6}} [.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>{{1,4,6,7},{2,3,5}}=>{{1,2,4,7},{3,5,6}} [.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>{{1,3,5},{2,4,6,7}}=>{{1,2,4,6},{3,5,7}} [.,[[[.,.],[.,[.,[.,.]]]],.]]=>[2,6,5,4,3,7,1]=>{{1,2,6,7},{3,5},{4}}=>{{1,2,6,7},{3,5},{4}} [.,[[[.,.],[.,[[.,.],.]]],.]]=>[2,5,6,4,3,7,1]=>{{1,2,5},{3,6,7},{4}}=>{{1,2,5},{3,6,7},{4}} [.,[[[.,.],[[.,.],[.,.]]],.]]=>[2,4,6,5,3,7,1]=>{{1,2,4,5},{3,6,7}}=>{{1,2,5},{3,4,6,7}} [.,[[[.,.],[[.,[.,.]],.]],.]]=>[2,5,4,6,3,7,1]=>{{1,2,5},{3,4,6,7}}=>{{1,2,4,5},{3,6,7}} [.,[[[.,.],[[[.,.],.],.]],.]]=>[2,4,5,6,3,7,1]=>{{1,2,4,6,7},{3,5}}=>{{1,2,4,6,7},{3,5}} [.,[[[.,[.,.]],[.,[.,.]]],.]]=>[3,2,6,5,4,7,1]=>{{1,3,6,7},{2},{4,5}}=>{{1,2,5,7},{3,4},{6}} [.,[[[.,[.,.]],[[.,.],.]],.]]=>[3,2,5,6,4,7,1]=>{{1,3,5},{2},{4,6,7}}=>{{1,2,4},{3,5,7},{6}} [.,[[[[.,.],.],[.,[.,.]]],.]]=>[2,3,6,5,4,7,1]=>{{1,2,3,6,7},{4,5}}=>{{1,2,5,6,7},{3,4}} [.,[[[[.,.],.],[[.,.],.]],.]]=>[2,3,5,6,4,7,1]=>{{1,2,3,5},{4,6,7}}=>{{1,2,4},{3,5,6,7}} [.,[[[.,[.,[.,.]]],[.,.]],.]]=>[4,3,2,6,5,7,1]=>{{1,4,6,7},{2,3},{5}}=>{{1,2,4,7},{3},{5,6}} [.,[[[.,[[.,.],.]],[.,.]],.]]=>[3,4,2,6,5,7,1]=>{{1,3},{2,4,6,7},{5}}=>{{1,2,4,6},{3},{5,7}} [.,[[[[.,.],[.,.]],[.,.]],.]]=>[2,4,3,6,5,7,1]=>{{1,2,4,6,7},{3},{5}}=>{{1,2,4,6,7},{3},{5}} [.,[[[[.,[.,.]],.],[.,.]],.]]=>[3,2,4,6,5,7,1]=>{{1,3,4,6,7},{2},{5}}=>{{1,2,4,5,7},{3},{6}} [.,[[[[[.,.],.],.],[.,.]],.]]=>[2,3,4,6,5,7,1]=>{{1,2,3,4,6,7},{5}}=>{{1,2,4,5,6,7},{3}} [.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>{{1,5,6,7},{2,4},{3}}=>{{1,2,3,7},{4,6},{5}} [.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>{{1,4},{2,5,6,7},{3}}=>{{1,2,3,6},{4,7},{5}} [.,[[[.,[[.,.],[.,.]]],.],.]]=>[3,5,4,2,6,7,1]=>{{1,3,4},{2,5,6,7}}=>{{1,2,3,6},{4,5,7}} [.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>{{1,4},{2,3,5,6,7}}=>{{1,2,3,5,6},{4,7}} [.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>{{1,3,5,6,7},{2,4}}=>{{1,2,3,5,7},{4,6}} [.,[[[[.,.],[.,[.,.]]],.],.]]=>[2,5,4,3,6,7,1]=>{{1,2,5,6,7},{3,4}}=>{{1,2,3,6,7},{4,5}} [.,[[[[.,.],[[.,.],.]],.],.]]=>[2,4,5,3,6,7,1]=>{{1,2,4},{3,5,6,7}}=>{{1,2,3,5},{4,6,7}} [.,[[[[.,[.,.]],[.,.]],.],.]]=>[3,2,5,4,6,7,1]=>{{1,3,5,6,7},{2},{4}}=>{{1,2,3,5,7},{4},{6}} [.,[[[[[.,.],.],[.,.]],.],.]]=>[2,3,5,4,6,7,1]=>{{1,2,3,5,6,7},{4}}=>{{1,2,3,5,6,7},{4}} [.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>{{1,4,5,6,7},{2,3}}=>{{1,2,3,4,7},{5,6}} [.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>{{1,3},{2,4,5,6,7}}=>{{1,2,3,4,6},{5,7}} [.,[[[[[.,.],[.,.]],.],.],.]]=>[2,4,3,5,6,7,1]=>{{1,2,4,5,6,7},{3}}=>{{1,2,3,4,6,7},{5}} [.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>{{1,3,4,5,6,7},{2}}=>{{1,2,3,4,5,7},{6}} [.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1,6},{2,5},{3,4},{7}} [[.,.],[.,[.,[.,[[.,.],.]]]]]=>[1,6,7,5,4,3,2]=>{{1},{2,6},{3,7},{4,5}}=>{{1,5},{2,6},{3,4},{7}} [[.,.],[.,[.,[[.,.],[.,.]]]]]=>[1,5,7,6,4,3,2]=>{{1},{2,5},{3,7},{4,6}}=>{{1,5},{2,4},{3,6},{7}} [[.,.],[.,[.,[[.,[.,.]],.]]]]=>[1,6,5,7,4,3,2]=>{{1},{2,6},{3,5},{4,7}}=>{{1,4},{2,6},{3,5},{7}} [[.,.],[.,[.,[[[.,.],.],.]]]]=>[1,5,6,7,4,3,2]=>{{1},{2,5},{3,6},{4,7}}=>{{1,4},{2,5},{3,6},{7}} [[.,.],[.,[[.,.],[.,[.,.]]]]]=>[1,4,7,6,5,3,2]=>{{1},{2,4,6},{3,7},{5}}=>{{1,5},{2,4,6},{3},{7}} [[.,.],[.,[[.,.],[[.,.],.]]]]=>[1,4,6,7,5,3,2]=>{{1},{2,4,7},{3,6},{5}}=>{{1,4,6},{2,5},{3},{7}} [[.,.],[.,[[.,[.,.]],[.,.]]]]=>[1,5,4,7,6,3,2]=>{{1},{2,5,6},{3,4,7}}=>{{1,4,5},{2,3,6},{7}} [[.,.],[.,[[[.,.],.],[.,.]]]]=>[1,4,5,7,6,3,2]=>{{1},{2,4,7},{3,5,6}}=>{{1,4,6},{2,3,5},{7}} [[.,.],[.,[[.,[.,[.,.]]],.]]]=>[1,6,5,4,7,3,2]=>{{1},{2,6},{3,5,7},{4}}=>{{1,3,5},{2,6},{4},{7}} [[.,.],[.,[[.,[[.,.],.]],.]]]=>[1,5,6,4,7,3,2]=>{{1},{2,5,7},{3,6},{4}}=>{{1,3,6},{2,5},{4},{7}} [[.,.],[.,[[[.,.],[.,.]],.]]]=>[1,4,6,5,7,3,2]=>{{1},{2,4,5,7},{3,6}}=>{{1,3,4,6},{2,5},{7}} [[.,.],[.,[[[.,[.,.]],.],.]]]=>[1,5,4,6,7,3,2]=>{{1},{2,5,7},{3,4,6}}=>{{1,3,6},{2,4,5},{7}} [[.,.],[.,[[[[.,.],.],.],.]]]=>[1,4,5,6,7,3,2]=>{{1},{2,4,6},{3,5,7}}=>{{1,3,5},{2,4,6},{7}} [[.,.],[[.,.],[.,[.,[.,.]]]]]=>[1,3,7,6,5,4,2]=>{{1},{2,3,7},{4,6},{5}}=>{{1,5,6},{2,4},{3},{7}} [[.,.],[[.,.],[.,[[.,.],.]]]]=>[1,3,6,7,5,4,2]=>{{1},{2,3,6},{4,7},{5}}=>{{1,4},{2,5,6},{3},{7}} [[.,.],[[.,.],[[.,.],[.,.]]]]=>[1,3,5,7,6,4,2]=>{{1},{2,3,5,6},{4,7}}=>{{1,4},{2,3,5,6},{7}} [[.,.],[[.,.],[[.,[.,.]],.]]]=>[1,3,6,5,7,4,2]=>{{1},{2,3,6},{4,5,7}}=>{{1,3,4},{2,5,6},{7}} [[.,.],[[.,.],[[[.,.],.],.]]]=>[1,3,5,6,7,4,2]=>{{1},{2,3,5,7},{4,6}}=>{{1,3,5,6},{2,4},{7}} [[.,.],[[.,[.,.]],[.,[.,.]]]]=>[1,4,3,7,6,5,2]=>{{1},{2,4,7},{3},{5,6}}=>{{1,4,6},{2,3},{5},{7}} [[.,.],[[.,[.,.]],[[.,.],.]]]=>[1,4,3,6,7,5,2]=>{{1},{2,4,6},{3},{5,7}}=>{{1,3},{2,4,6},{5},{7}} [[.,.],[[[.,.],.],[.,[.,.]]]]=>[1,3,4,7,6,5,2]=>{{1},{2,3,4,7},{5,6}}=>{{1,4,5,6},{2,3},{7}} [[.,.],[[[.,.],.],[[.,.],.]]]=>[1,3,4,6,7,5,2]=>{{1},{2,3,4,6},{5,7}}=>{{1,3},{2,4,5,6},{7}} [[.,.],[[.,[.,[.,.]]],[.,.]]]=>[1,5,4,3,7,6,2]=>{{1},{2,5,7},{3,4},{6}}=>{{1,3,6},{2},{4,5},{7}} [[.,.],[[.,[[.,.],.]],[.,.]]]=>[1,4,5,3,7,6,2]=>{{1},{2,4},{3,5,7},{6}}=>{{1,3,5},{2},{4,6},{7}} [[.,.],[[[.,.],[.,.]],[.,.]]]=>[1,3,5,4,7,6,2]=>{{1},{2,3,5,7},{4},{6}}=>{{1,3,5,6},{2},{4},{7}} [[.,.],[[[.,[.,.]],.],[.,.]]]=>[1,4,3,5,7,6,2]=>{{1},{2,4,5,7},{3},{6}}=>{{1,3,4,6},{2},{5},{7}} [[.,.],[[[[.,.],.],.],[.,.]]]=>[1,3,4,5,7,6,2]=>{{1},{2,3,4,5,7},{6}}=>{{1,3,4,5,6},{2},{7}} [[.,.],[[.,[.,[.,[.,.]]]],.]]=>[1,6,5,4,3,7,2]=>{{1},{2,6,7},{3,5},{4}}=>{{1,2,6},{3,5},{4},{7}} [[.,.],[[.,[.,[[.,.],.]]],.]]=>[1,5,6,4,3,7,2]=>{{1},{2,5},{3,6,7},{4}}=>{{1,2,5},{3,6},{4},{7}} [[.,.],[[.,[[.,.],[.,.]]],.]]=>[1,4,6,5,3,7,2]=>{{1},{2,4,5},{3,6,7}}=>{{1,2,5},{3,4,6},{7}} [[.,.],[[.,[[.,[.,.]],.]],.]]=>[1,5,4,6,3,7,2]=>{{1},{2,5},{3,4,6,7}}=>{{1,2,4,5},{3,6},{7}} [[.,.],[[.,[[[.,.],.],.]],.]]=>[1,4,5,6,3,7,2]=>{{1},{2,4,6,7},{3,5}}=>{{1,2,4,6},{3,5},{7}} [[.,.],[[[.,.],[.,[.,.]]],.]]=>[1,3,6,5,4,7,2]=>{{1},{2,3,6,7},{4,5}}=>{{1,2,5,6},{3,4},{7}} [[.,.],[[[.,.],[[.,.],.]],.]]=>[1,3,5,6,4,7,2]=>{{1},{2,3,5},{4,6,7}}=>{{1,2,4},{3,5,6},{7}} [[.,.],[[[.,[.,.]],[.,.]],.]]=>[1,4,3,6,5,7,2]=>{{1},{2,4,6,7},{3},{5}}=>{{1,2,4,6},{3},{5},{7}} [[.,.],[[[[.,.],.],[.,.]],.]]=>[1,3,4,6,5,7,2]=>{{1},{2,3,4,6,7},{5}}=>{{1,2,4,5,6},{3},{7}} [[.,.],[[[.,[.,[.,.]]],.],.]]=>[1,5,4,3,6,7,2]=>{{1},{2,5,6,7},{3,4}}=>{{1,2,3,6},{4,5},{7}} [[.,.],[[[.,[[.,.],.]],.],.]]=>[1,4,5,3,6,7,2]=>{{1},{2,4},{3,5,6,7}}=>{{1,2,3,5},{4,6},{7}} [[.,.],[[[[.,.],[.,.]],.],.]]=>[1,3,5,4,6,7,2]=>{{1},{2,3,5,6,7},{4}}=>{{1,2,3,5,6},{4},{7}} [[.,.],[[[[.,[.,.]],.],.],.]]=>[1,4,3,5,6,7,2]=>{{1},{2,4,5,6,7},{3}}=>{{1,2,3,4,6},{5},{7}} [[.,.],[[[[[.,.],.],.],.],.]]=>[1,3,4,5,6,7,2]=>{{1},{2,3,4,5,6,7}}=>{{1,2,3,4,5,6},{7}} [[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,5},{2,4},{3},{6,7}} [[.,[.,.]],[.,[.,[[.,.],.]]]]=>[2,1,6,7,5,4,3]=>{{1,2},{3,6},{4,7},{5}}=>{{1,4},{2,5},{3},{6,7}} [[.,[.,.]],[.,[[.,.],[.,.]]]]=>[2,1,5,7,6,4,3]=>{{1,2},{3,5,6},{4,7}}=>{{1,4},{2,3,5},{6,7}} [[.,[.,.]],[.,[[.,[.,.]],.]]]=>[2,1,6,5,7,4,3]=>{{1,2},{3,6},{4,5,7}}=>{{1,3,4},{2,5},{6,7}} [[.,[.,.]],[.,[[[.,.],.],.]]]=>[2,1,5,6,7,4,3]=>{{1,2},{3,5,7},{4,6}}=>{{1,3,5},{2,4},{6,7}} [[.,[.,.]],[[.,.],[.,[.,.]]]]=>[2,1,4,7,6,5,3]=>{{1,2},{3,4,7},{5,6}}=>{{1,4,5},{2,3},{6,7}} [[.,[.,.]],[[.,.],[[.,.],.]]]=>[2,1,4,6,7,5,3]=>{{1,2},{3,4,6},{5,7}}=>{{1,3},{2,4,5},{6,7}} [[.,[.,.]],[[.,[.,.]],[.,.]]]=>[2,1,5,4,7,6,3]=>{{1,2},{3,5,7},{4},{6}}=>{{1,3,5},{2},{4},{6,7}} [[.,[.,.]],[[[.,.],.],[.,.]]]=>[2,1,4,5,7,6,3]=>{{1,2},{3,4,5,7},{6}}=>{{1,3,4,5},{2},{6,7}} [[.,[.,.]],[[.,[.,[.,.]]],.]]=>[2,1,6,5,4,7,3]=>{{1,2},{3,6,7},{4,5}}=>{{1,2,5},{3,4},{6,7}} [[.,[.,.]],[[.,[[.,.],.]],.]]=>[2,1,5,6,4,7,3]=>{{1,2},{3,5},{4,6,7}}=>{{1,2,4},{3,5},{6,7}} [[.,[.,.]],[[[.,.],[.,.]],.]]=>[2,1,4,6,5,7,3]=>{{1,2},{3,4,6,7},{5}}=>{{1,2,4,5},{3},{6,7}} [[.,[.,.]],[[[.,[.,.]],.],.]]=>[2,1,5,4,6,7,3]=>{{1,2},{3,5,6,7},{4}}=>{{1,2,3,5},{4},{6,7}} [[.,[.,.]],[[[[.,.],.],.],.]]=>[2,1,4,5,6,7,3]=>{{1,2},{3,4,5,6,7}}=>{{1,2,3,4,5},{6,7}} [[[.,.],.],[.,[.,[.,[.,.]]]]]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1,5},{2,4},{3},{6},{7}} [[[.,.],.],[.,[.,[[.,.],.]]]]=>[1,2,6,7,5,4,3]=>{{1},{2},{3,6},{4,7},{5}}=>{{1,4},{2,5},{3},{6},{7}} [[[.,.],.],[.,[[.,.],[.,.]]]]=>[1,2,5,7,6,4,3]=>{{1},{2},{3,5,6},{4,7}}=>{{1,4},{2,3,5},{6},{7}} [[[.,.],.],[.,[[.,[.,.]],.]]]=>[1,2,6,5,7,4,3]=>{{1},{2},{3,6},{4,5,7}}=>{{1,3,4},{2,5},{6},{7}} [[[.,.],.],[.,[[[.,.],.],.]]]=>[1,2,5,6,7,4,3]=>{{1},{2},{3,5,7},{4,6}}=>{{1,3,5},{2,4},{6},{7}} [[[.,.],.],[[.,.],[.,[.,.]]]]=>[1,2,4,7,6,5,3]=>{{1},{2},{3,4,7},{5,6}}=>{{1,4,5},{2,3},{6},{7}} [[[.,.],.],[[.,.],[[.,.],.]]]=>[1,2,4,6,7,5,3]=>{{1},{2},{3,4,6},{5,7}}=>{{1,3},{2,4,5},{6},{7}} [[[.,.],.],[[.,[.,.]],[.,.]]]=>[1,2,5,4,7,6,3]=>{{1},{2},{3,5,7},{4},{6}}=>{{1,3,5},{2},{4},{6},{7}} [[[.,.],.],[[[.,.],.],[.,.]]]=>[1,2,4,5,7,6,3]=>{{1},{2},{3,4,5,7},{6}}=>{{1,3,4,5},{2},{6},{7}} [[[.,.],.],[[.,[.,[.,.]]],.]]=>[1,2,6,5,4,7,3]=>{{1},{2},{3,6,7},{4,5}}=>{{1,2,5},{3,4},{6},{7}} [[[.,.],.],[[.,[[.,.],.]],.]]=>[1,2,5,6,4,7,3]=>{{1},{2},{3,5},{4,6,7}}=>{{1,2,4},{3,5},{6},{7}} [[[.,.],.],[[[.,.],[.,.]],.]]=>[1,2,4,6,5,7,3]=>{{1},{2},{3,4,6,7},{5}}=>{{1,2,4,5},{3},{6},{7}} [[[.,.],.],[[[.,[.,.]],.],.]]=>[1,2,5,4,6,7,3]=>{{1},{2},{3,5,6,7},{4}}=>{{1,2,3,5},{4},{6},{7}} [[[.,.],.],[[[[.,.],.],.],.]]=>[1,2,4,5,6,7,3]=>{{1},{2},{3,4,5,6,7}}=>{{1,2,3,4,5},{6},{7}} [[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,4},{2,3},{5,7},{6}} [[.,[.,[.,.]]],[.,[[.,.],.]]]=>[3,2,1,6,7,5,4]=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2,4},{5,7},{6}} [[.,[.,[.,.]]],[[.,.],[.,.]]]=>[3,2,1,5,7,6,4]=>{{1,3},{2},{4,5,7},{6}}=>{{1,3,4},{2},{5,7},{6}} [[.,[.,[.,.]]],[[.,[.,.]],.]]=>[3,2,1,6,5,7,4]=>{{1,3},{2},{4,6,7},{5}}=>{{1,2,4},{3},{5,7},{6}} [[.,[.,[.,.]]],[[[.,.],.],.]]=>[3,2,1,5,6,7,4]=>{{1,3},{2},{4,5,6,7}}=>{{1,2,3,4},{5,7},{6}} [[.,[[.,.],.]],[.,[.,[.,.]]]]=>[2,3,1,7,6,5,4]=>{{1,2,3},{4,7},{5,6}}=>{{1,4},{2,3},{5,6,7}} [[.,[[.,.],.]],[.,[[.,.],.]]]=>[2,3,1,6,7,5,4]=>{{1,2,3},{4,6},{5,7}}=>{{1,3},{2,4},{5,6,7}} [[.,[[.,.],.]],[[.,.],[.,.]]]=>[2,3,1,5,7,6,4]=>{{1,2,3},{4,5,7},{6}}=>{{1,3,4},{2},{5,6,7}} [[.,[[.,.],.]],[[.,[.,.]],.]]=>[2,3,1,6,5,7,4]=>{{1,2,3},{4,6,7},{5}}=>{{1,2,4},{3},{5,6,7}} [[.,[[.,.],.]],[[[.,.],.],.]]=>[2,3,1,5,6,7,4]=>{{1,2,3},{4,5,6,7}}=>{{1,2,3,4},{5,6,7}} [[[.,.],[.,.]],[.,[.,[.,.]]]]=>[1,3,2,7,6,5,4]=>{{1},{2,3},{4,7},{5,6}}=>{{1,4},{2,3},{5,6},{7}} [[[.,.],[.,.]],[.,[[.,.],.]]]=>[1,3,2,6,7,5,4]=>{{1},{2,3},{4,6},{5,7}}=>{{1,3},{2,4},{5,6},{7}} [[[.,.],[.,.]],[[.,.],[.,.]]]=>[1,3,2,5,7,6,4]=>{{1},{2,3},{4,5,7},{6}}=>{{1,3,4},{2},{5,6},{7}} [[[.,.],[.,.]],[[.,[.,.]],.]]=>[1,3,2,6,5,7,4]=>{{1},{2,3},{4,6,7},{5}}=>{{1,2,4},{3},{5,6},{7}} [[[.,.],[.,.]],[[[.,.],.],.]]=>[1,3,2,5,6,7,4]=>{{1},{2,3},{4,5,6,7}}=>{{1,2,3,4},{5,6},{7}} [[[.,[.,.]],.],[.,[.,[.,.]]]]=>[2,1,3,7,6,5,4]=>{{1,2},{3},{4,7},{5,6}}=>{{1,4},{2,3},{5},{6,7}} [[[.,[.,.]],.],[.,[[.,.],.]]]=>[2,1,3,6,7,5,4]=>{{1,2},{3},{4,6},{5,7}}=>{{1,3},{2,4},{5},{6,7}} [[[.,[.,.]],.],[[.,.],[.,.]]]=>[2,1,3,5,7,6,4]=>{{1,2},{3},{4,5,7},{6}}=>{{1,3,4},{2},{5},{6,7}} [[[.,[.,.]],.],[[.,[.,.]],.]]=>[2,1,3,6,5,7,4]=>{{1,2},{3},{4,6,7},{5}}=>{{1,2,4},{3},{5},{6,7}} [[[.,[.,.]],.],[[[.,.],.],.]]=>[2,1,3,5,6,7,4]=>{{1,2},{3},{4,5,6,7}}=>{{1,2,3,4},{5},{6,7}} [[[[.,.],.],.],[.,[.,[.,.]]]]=>[1,2,3,7,6,5,4]=>{{1},{2},{3},{4,7},{5,6}}=>{{1,4},{2,3},{5},{6},{7}} [[[[.,.],.],.],[.,[[.,.],.]]]=>[1,2,3,6,7,5,4]=>{{1},{2},{3},{4,6},{5,7}}=>{{1,3},{2,4},{5},{6},{7}} [[[[.,.],.],.],[[.,.],[.,.]]]=>[1,2,3,5,7,6,4]=>{{1},{2},{3},{4,5,7},{6}}=>{{1,3,4},{2},{5},{6},{7}} [[[[.,.],.],.],[[.,[.,.]],.]]=>[1,2,3,6,5,7,4]=>{{1},{2},{3},{4,6,7},{5}}=>{{1,2,4},{3},{5},{6},{7}} [[[[.,.],.],.],[[[.,.],.],.]]=>[1,2,3,5,6,7,4]=>{{1},{2},{3},{4,5,6,7}}=>{{1,2,3,4},{5},{6},{7}} [[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2},{4,7},{5,6}} [[.,[.,[.,[.,.]]]],[[.,.],.]]=>[4,3,2,1,6,7,5]=>{{1,4},{2,3},{5,6,7}}=>{{1,2,3},{4,7},{5,6}} [[.,[.,[[.,.],.]]],[.,[.,.]]]=>[3,4,2,1,7,6,5]=>{{1,3},{2,4},{5,7},{6}}=>{{1,3},{2},{4,6},{5,7}} [[.,[.,[[.,.],.]]],[[.,.],.]]=>[3,4,2,1,6,7,5]=>{{1,3},{2,4},{5,6,7}}=>{{1,2,3},{4,6},{5,7}} [[.,[[.,.],[.,.]]],[.,[.,.]]]=>[2,4,3,1,7,6,5]=>{{1,2,4},{3},{5,7},{6}}=>{{1,3},{2},{4,6,7},{5}} [[.,[[.,.],[.,.]]],[[.,.],.]]=>[2,4,3,1,6,7,5]=>{{1,2,4},{3},{5,6,7}}=>{{1,2,3},{4,6,7},{5}} [[.,[[.,[.,.]],.]],[.,[.,.]]]=>[3,2,4,1,7,6,5]=>{{1,3,4},{2},{5,7},{6}}=>{{1,3},{2},{4,5,7},{6}} [[.,[[.,[.,.]],.]],[[.,.],.]]=>[3,2,4,1,6,7,5]=>{{1,3,4},{2},{5,6,7}}=>{{1,2,3},{4,5,7},{6}} [[.,[[[.,.],.],.]],[.,[.,.]]]=>[2,3,4,1,7,6,5]=>{{1,2,3,4},{5,7},{6}}=>{{1,3},{2},{4,5,6,7}} [[.,[[[.,.],.],.]],[[.,.],.]]=>[2,3,4,1,6,7,5]=>{{1,2,3,4},{5,6,7}}=>{{1,2,3},{4,5,6,7}} [[[.,.],[.,[.,.]]],[.,[.,.]]]=>[1,4,3,2,7,6,5]=>{{1},{2,4},{3},{5,7},{6}}=>{{1,3},{2},{4,6},{5},{7}} [[[.,.],[.,[.,.]]],[[.,.],.]]=>[1,4,3,2,6,7,5]=>{{1},{2,4},{3},{5,6,7}}=>{{1,2,3},{4,6},{5},{7}} [[[.,.],[[.,.],.]],[.,[.,.]]]=>[1,3,4,2,7,6,5]=>{{1},{2,3,4},{5,7},{6}}=>{{1,3},{2},{4,5,6},{7}} [[[.,.],[[.,.],.]],[[.,.],.]]=>[1,3,4,2,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>{{1,2,3},{4,5,6},{7}} [[[.,[.,.]],[.,.]],[.,[.,.]]]=>[2,1,4,3,7,6,5]=>{{1,2},{3,4},{5,7},{6}}=>{{1,3},{2},{4,5},{6,7}} [[[.,[.,.]],[.,.]],[[.,.],.]]=>[2,1,4,3,6,7,5]=>{{1,2},{3,4},{5,6,7}}=>{{1,2,3},{4,5},{6,7}} 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[[[[[.,.],.],.],.],[.,[.,.]]]=>[1,2,3,4,7,6,5]=>{{1},{2},{3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5},{6},{7}} [[[[[.,.],.],.],.],[[.,.],.]]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>{{1,2,3},{4},{5},{6},{7}} [[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,2},{3,7},{4,6},{5}} [[.,[.,[.,[[.,.],.]]]],[.,.]]=>[4,5,3,2,1,7,6]=>{{1,4},{2,5},{3},{6,7}}=>{{1,2},{3,6},{4,7},{5}} [[.,[.,[[.,.],[.,.]]]],[.,.]]=>[3,5,4,2,1,7,6]=>{{1,3,4},{2,5},{6,7}}=>{{1,2},{3,6},{4,5,7}} [[.,[.,[[.,[.,.]],.]]],[.,.]]=>[4,3,5,2,1,7,6]=>{{1,4},{2,3,5},{6,7}}=>{{1,2},{3,5,6},{4,7}} [[.,[.,[[[.,.],.],.]]],[.,.]]=>[3,4,5,2,1,7,6]=>{{1,3,5},{2,4},{6,7}}=>{{1,2},{3,5,7},{4,6}} [[.,[[.,.],[.,[.,.]]]],[.,.]]=>[2,5,4,3,1,7,6]=>{{1,2,5},{3,4},{6,7}}=>{{1,2},{3,6,7},{4,5}} [[.,[[.,.],[[.,.],.]]],[.,.]]=>[2,4,5,3,1,7,6]=>{{1,2,4},{3,5},{6,7}}=>{{1,2},{3,5},{4,6,7}} [[.,[[.,[.,.]],[.,.]]],[.,.]]=>[3,2,5,4,1,7,6]=>{{1,3,5},{2},{4},{6,7}}=>{{1,2},{3,5,7},{4},{6}} 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[[[[.,.],[[.,.],[.,.]]],.],.]=>[1,3,5,4,2,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2},{3,5,6},{4},{7}} [[[[.,.],[[.,[.,.]],.]],.],.]=>[1,4,3,5,2,6,7]=>{{1},{2,4,5},{3},{6},{7}}=>{{1},{2},{3,4,6},{5},{7}} [[[[.,.],[[[.,.],.],.]],.],.]=>[1,3,4,5,2,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2},{3,4,5,6},{7}} [[[[.,[.,.]],[.,[.,.]]],.],.]=>[2,1,5,4,3,6,7]=>{{1,2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6,7}} [[[[.,[.,.]],[[.,.],.]],.],.]=>[2,1,4,5,3,6,7]=>{{1,2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6,7}} [[[[[.,.],.],[.,[.,.]]],.],.]=>[1,2,5,4,3,6,7]=>{{1},{2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6},{7}} [[[[[.,.],.],[[.,.],.]],.],.]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}} [[[[.,[.,[.,.]]],[.,.]],.],.]=>[3,2,1,5,4,6,7]=>{{1,3},{2},{4,5},{6},{7}}=>{{1},{2},{3,4},{5,7},{6}} [[[[.,[[.,.],.]],[.,.]],.],.]=>[2,3,1,5,4,6,7]=>{{1,2,3},{4,5},{6},{7}}=>{{1},{2},{3,4},{5,6,7}} [[[[[.,.],[.,.]],[.,.]],.],.]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>{{1},{2},{3,4},{5,6},{7}} [[[[[.,[.,.]],.],[.,.]],.],.]=>[2,1,3,5,4,6,7]=>{{1,2},{3},{4,5},{6},{7}}=>{{1},{2},{3,4},{5},{6,7}} [[[[[[.,.],.],.],[.,.]],.],.]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}} [[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>{{1,4},{2,3},{5},{6},{7}}=>{{1},{2},{3},{4,7},{5,6}} [[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>{{1,3},{2,4},{5},{6},{7}}=>{{1},{2},{3},{4,6},{5,7}} [[[[.,[[.,.],[.,.]]],.],.],.]=>[2,4,3,1,5,6,7]=>{{1,2,4},{3},{5},{6},{7}}=>{{1},{2},{3},{4,6,7},{5}} [[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>{{1,3,4},{2},{5},{6},{7}}=>{{1},{2},{3},{4,5,7},{6}} [[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>{{1},{2},{3},{4,5,6,7}} [[[[[.,.],[.,[.,.]]],.],.],.]=>[1,4,3,2,5,6,7]=>{{1},{2,4},{3},{5},{6},{7}}=>{{1},{2},{3},{4,6},{5},{7}} [[[[[.,.],[[.,.],.]],.],.],.]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2},{3},{4,5,6},{7}} [[[[[.,[.,.]],[.,.]],.],.],.]=>[2,1,4,3,5,6,7]=>{{1,2},{3,4},{5},{6},{7}}=>{{1},{2},{3},{4,5},{6,7}} [[[[[[.,.],.],[.,.]],.],.],.]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}} [[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>{{1,3},{2},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5,7},{6}} [[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5,6,7}} [[[[[[.,.],[.,.]],.],.],.],.]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5,6},{7}} [[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>{{1,2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6,7}} [[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}} [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}} [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[7,8,6,5,4,3,2,1]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,7},{2,8},{3,6},{4,5}} [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[7,6,8,5,4,3,2,1]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,6},{2,8},{3,7},{4,5}} [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[6,7,8,5,4,3,2,1]=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,6},{2,7},{3,8},{4,5}} [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[5,8,7,6,4,3,2,1]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,7},{2,6},{3,5},{4,8}} [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[6,5,8,7,4,3,2,1]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,6},{2,5},{3,8},{4,7}} [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[7,6,5,8,4,3,2,1]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,5},{2,8},{3,7},{4,6}} [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[6,5,7,8,4,3,2,1]=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,5},{2,6},{3,8},{4,7}} [.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}} [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[4,8,7,6,5,3,2,1]=>{{1,4,6},{2,8},{3,7},{5}}=>{{1,7},{2,6},{3,5,8},{4}} [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[7,6,5,4,8,3,2,1]=>{{1,7},{2,6},{3,5,8},{4}}=>{{1,4,6},{2,8},{3,7},{5}} [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[6,5,7,4,8,3,2,1]=>{{1,6},{2,5,8},{3,7},{4}}=>{{1,4,7},{2,6},{3,8},{5}} [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[4,7,6,5,8,3,2,1]=>{{1,4,5,8},{2,7},{3,6}}=>{{1,4,5,8},{2,7},{3,6}} [.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>{{1,4,7},{2,5,8},{3,6}}=>{{1,4,7},{2,5,8},{3,6}} [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[3,7,6,8,5,4,2,1]=>{{1,3,6},{2,7},{4,8},{5}}=>{{1,5},{2,7},{3,6,8},{4}} [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[3,5,8,7,6,4,2,1]=>{{1,3,8},{2,5,6},{4,7}}=>{{1,6,8},{2,5},{3,4,7}} [.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[3,5,6,8,7,4,2,1]=>{{1,3,6},{2,5,7},{4,8}}=>{{1,5},{2,4,7},{3,6,8}} [.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[3,5,6,7,8,4,2,1]=>{{1,3,6},{2,5,8},{4,7}}=>{{1,4,7},{2,5},{3,6,8}} [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[3,4,8,7,6,5,2,1]=>{{1,3,8},{2,4,7},{5,6}}=>{{1,6,8},{2,5,7},{3,4}} [.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>[3,4,5,8,7,6,2,1]=>{{1,3,5,7},{2,4,8},{6}}=>{{1,5,7},{2,4,6,8},{3}} [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>[4,3,6,5,8,7,2,1]=>{{1,4,5,8},{2,3,6,7}}=>{{1,4,5,8},{2,3,6,7}} [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[7,6,5,4,3,8,2,1]=>{{1,7},{2,6,8},{3,5},{4}}=>{{1,3,7},{2,8},{4,6},{5}} [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[5,7,6,4,3,8,2,1]=>{{1,5},{2,7},{3,6,8},{4}}=>{{1,3,6},{2,7},{4,8},{5}} [.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[5,4,6,7,3,8,2,1]=>{{1,5},{2,4,7},{3,6,8}}=>{{1,3,6},{2,5,7},{4,8}} [.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>[4,5,6,7,3,8,2,1]=>{{1,4,7},{2,5},{3,6,8}}=>{{1,3,6},{2,5,8},{4,7}} [.,[.,[[[[[.,[.,.]],.],.],.],.]]]=>[4,3,5,6,7,8,2,1]=>{{1,4,6,8},{2,3,5,7}}=>{{1,3,5,8},{2,4,6,7}} [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>[2,7,8,6,5,4,3,1]=>{{1,2,7},{3,8},{4,6},{5}}=>{{1,6},{2,7,8},{3,5},{4}} [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[2,6,8,7,5,4,3,1]=>{{1,2,6},{3,8},{4,7},{5}}=>{{1,6},{2,5},{3,7,8},{4}} [.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[2,5,6,7,8,4,3,1]=>{{1,2,5,8},{3,6},{4,7}}=>{{1,4,7,8},{2,5},{3,6}} [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[2,4,8,7,6,5,3,1]=>{{1,2,4,7},{3,8},{5,6}}=>{{1,6},{2,5,7,8},{3,4}} [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[2,4,6,8,7,5,3,1]=>{{1,2,4,8},{3,6},{5,7}}=>{{1,5,7,8},{2,4},{3,6}} [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[2,7,6,5,4,8,3,1]=>{{1,2,7},{3,6,8},{4,5}}=>{{1,3,6},{2,7,8},{4,5}} [.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[2,3,5,6,8,7,4,1]=>{{1,2,3,5,8},{4,6,7}}=>{{1,4,6,7,8},{2,3,5}} [.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[2,3,5,6,7,8,4,1]=>{{1,2,3,5,7},{4,6,8}}=>{{1,3,5},{2,4,6,7,8}} [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[4,3,2,8,7,6,5,1]=>{{1,4,8},{2,3},{5,7},{6}}=>{{1,5,8},{2,4},{3},{6,7}} [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[3,4,2,8,7,6,5,1]=>{{1,3},{2,4,8},{5,7},{6}}=>{{1,5,7},{2,4},{3},{6,8}} [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[2,4,3,8,7,6,5,1]=>{{1,2,4,8},{3},{5,7},{6}}=>{{1,5,7,8},{2,4},{3},{6}} [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[3,2,4,8,7,6,5,1]=>{{1,3,4,8},{2},{5,7},{6}}=>{{1,5,6,8},{2,4},{3},{7}} [.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[2,3,4,8,7,6,5,1]=>{{1,2,3,4,8},{5,7},{6}}=>{{1,5,6,7,8},{2,4},{3}} [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[5,4,3,2,8,7,6,1]=>{{1,5,8},{2,4},{3},{6,7}}=>{{1,4,8},{2,3},{5,7},{6}} [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[5,4,3,2,7,8,6,1]=>{{1,5,7},{2,4},{3},{6,8}}=>{{1,3},{2,4,8},{5,7},{6}} [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[2,5,4,3,8,7,6,1]=>{{1,2,5,8},{3,4},{6,7}}=>{{1,4,7,8},{2,3},{5,6}} [.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[2,5,4,3,7,8,6,1]=>{{1,2,5,7},{3,4},{6,8}}=>{{1,3},{2,4,7,8},{5,6}} [.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>[2,4,5,3,7,8,6,1]=>{{1,2,4},{3,5,7},{6,8}}=>{{1,3},{2,4,6},{5,7,8}} [.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>[3,4,2,5,7,8,6,1]=>{{1,3},{2,4,5,7},{6,8}}=>{{1,3},{2,4,5,7},{6,8}} [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[4,3,6,5,2,8,7,1]=>{{1,4,5},{2,3,6,8},{7}}=>{{1,3,6,7},{2},{4,5,8}} [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>[3,2,6,5,4,8,7,1]=>{{1,3,6,8},{2},{4,5},{7}}=>{{1,3,6,8},{2},{4,5},{7}} [.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[2,4,3,6,5,8,7,1]=>{{1,2,4,6,8},{3},{5},{7}}=>{{1,3,5,7,8},{2},{4},{6}} [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>[5,4,3,2,6,8,7,1]=>{{1,5,6,8},{2,4},{3},{7}}=>{{1,3,4,8},{2},{5,7},{6}} [.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[2,5,4,3,6,8,7,1]=>{{1,2,5,6,8},{3,4},{7}}=>{{1,3,4,7,8},{2},{5,6}} [.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>[2,4,3,5,6,8,7,1]=>{{1,2,4,5,6,8},{3},{7}}=>{{1,3,4,5,7,8},{2},{6}} [.,[[[[[[.,.],.],.],.],.],[.,.]]]=>[2,3,4,5,6,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>{{1,3,4,5,6,7,8},{2}} [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[7,6,5,4,3,2,8,1]=>{{1,7,8},{2,6},{3,5},{4}}=>{{1,2,8},{3,7},{4,6},{5}} [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[6,7,5,4,3,2,8,1]=>{{1,6},{2,7,8},{3,5},{4}}=>{{1,2,7},{3,8},{4,6},{5}} [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[6,5,7,4,3,2,8,1]=>{{1,6},{2,5},{3,7,8},{4}}=>{{1,2,6},{3,8},{4,7},{5}} [.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>[4,5,6,7,3,2,8,1]=>{{1,4,7,8},{2,5},{3,6}}=>{{1,2,5,8},{3,6},{4,7}} [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[6,5,4,3,7,2,8,1]=>{{1,6},{2,5,7,8},{3,4}}=>{{1,2,4,7},{3,8},{5,6}} [.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>{{1,5,7,8},{2,4},{3,6}}=>{{1,2,4,8},{3,6},{5,7}} [.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>[4,3,6,5,7,2,8,1]=>{{1,4,5,7,8},{2,3,6}}=>{{1,2,4,5,8},{3,6,7}} [.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>[2,5,4,7,6,3,8,1]=>{{1,2,5,6},{3,4,7,8}}=>{{1,2,5,6},{3,4,7,8}} [.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>[2,5,4,6,7,3,8,1]=>{{1,2,5,7,8},{3,4,6}}=>{{1,2,4,7,8},{3,5,6}} [.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[3,2,6,5,7,4,8,1]=>{{1,3,6},{2},{4,5,7,8}}=>{{1,2,4,5},{3,6,8},{7}} [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>[4,3,2,7,6,5,8,1]=>{{1,4,7,8},{2,3},{5,6}}=>{{1,2,5,8},{3,4},{6,7}} [.,[[[.,[[.,.],.]],[[.,.],.]],.]]=>[3,4,2,6,7,5,8,1]=>{{1,3},{2,4,6},{5,7,8}}=>{{1,2,4},{3,5,7},{6,8}} [.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>[2,4,3,7,6,5,8,1]=>{{1,2,4,7,8},{3},{5,6}}=>{{1,2,5,7,8},{3,4},{6}} [.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>[3,2,4,7,6,5,8,1]=>{{1,3,4,7,8},{2},{5,6}}=>{{1,2,5,6,8},{3,4},{7}} [.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>[2,3,4,7,6,5,8,1]=>{{1,2,3,4,7,8},{5,6}}=>{{1,2,5,6,7,8},{3,4}} [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>[5,4,3,2,7,6,8,1]=>{{1,5,7,8},{2,4},{3},{6}}=>{{1,2,4,8},{3},{5,7},{6}} [.,[[[.,[[.,[.,.]],.]],[.,.]],.]]=>[4,3,5,2,7,6,8,1]=>{{1,4},{2,3,5,7,8},{6}}=>{{1,2,4,6,7},{3},{5,8}} [.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>[2,5,4,3,7,6,8,1]=>{{1,2,5,7,8},{3,4},{6}}=>{{1,2,4,7,8},{3},{5,6}} [.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[3,2,5,4,7,6,8,1]=>{{1,3,5,7,8},{2},{4},{6}}=>{{1,2,4,6,8},{3},{5},{7}} [.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>[2,3,5,4,7,6,8,1]=>{{1,2,3,5,7,8},{4},{6}}=>{{1,2,4,6,7,8},{3},{5}} [.,[[[[[.,[.,.]],.],.],[.,.]],.]]=>[3,2,4,5,7,6,8,1]=>{{1,3,4,5,7,8},{2},{6}}=>{{1,2,4,5,6,8},{3},{7}} [.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>[2,4,3,6,5,7,8,1]=>{{1,2,4,6,7,8},{3},{5}}=>{{1,2,3,5,7,8},{4},{6}} [.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[5,4,3,2,6,7,8,1]=>{{1,5,6,7,8},{2,4},{3}}=>{{1,2,3,4,8},{5,7},{6}} [.,[[[[.,[[[.,.],.],.]],.],.],.]]=>[3,4,5,2,6,7,8,1]=>{{1,3,5,6,7,8},{2,4}}=>{{1,2,3,4,6,8},{5,7}} [.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>[2,5,4,3,6,7,8,1]=>{{1,2,5,6,7,8},{3,4}}=>{{1,2,3,4,7,8},{5,6}} [.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>[4,3,2,5,6,7,8,1]=>{{1,4,5,6,7,8},{2,3}}=>{{1,2,3,4,5,8},{6,7}} [.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[3,4,2,5,6,7,8,1]=>{{1,3},{2,4,5,6,7,8}}=>{{1,2,3,4,5,7},{6,8}} [.,[[[[[[.,[.,.]],.],.],.],.],.]]=>[3,2,4,5,6,7,8,1]=>{{1,3,4,5,6,7,8},{2}}=>{{1,2,3,4,5,6,8},{7}} [.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>{{1,2,3,4,5,6,7,8}} [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1,7},{2,6},{3,5},{4},{8}} [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[1,7,8,6,5,4,3,2]=>{{1},{2,7},{3,8},{4,6},{5}}=>{{1,6},{2,7},{3,5},{4},{8}} [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[1,6,8,7,5,4,3,2]=>{{1},{2,6},{3,8},{4,7},{5}}=>{{1,6},{2,5},{3,7},{4},{8}} [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>[1,7,6,8,5,4,3,2]=>{{1},{2,7},{3,6},{4,8},{5}}=>{{1,5},{2,7},{3,6},{4},{8}} [[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[1,6,7,8,5,4,3,2]=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1,5},{2,6},{3,7},{4},{8}} [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[1,5,8,7,6,4,3,2]=>{{1},{2,5,6},{3,8},{4,7}}=>{{1,6},{2,5},{3,4,7},{8}} [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[1,7,6,5,8,4,3,2]=>{{1},{2,7},{3,6},{4,5,8}}=>{{1,4,5},{2,7},{3,6},{8}} [[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[1,5,6,7,8,4,3,2]=>{{1},{2,5,8},{3,6},{4,7}}=>{{1,4,7},{2,5},{3,6},{8}} [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[1,4,8,7,6,5,3,2]=>{{1},{2,4,7},{3,8},{5,6}}=>{{1,6},{2,5,7},{3,4},{8}} [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[1,4,7,8,6,5,3,2]=>{{1},{2,4,8},{3,7},{5,6}}=>{{1,5,7},{2,6},{3,4},{8}} [[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[1,3,5,7,8,6,4,2]=>{{1},{2,3,5,8},{4,7},{6}}=>{{1,4,6,7},{2,5},{3},{8}} [[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[1,3,6,5,7,8,4,2]=>{{1},{2,3,6,8},{4,5,7}}=>{{1,3,6,7},{2,4,5},{8}} [[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[1,3,5,6,7,8,4,2]=>{{1},{2,3,5,7},{4,6,8}}=>{{1,3,5},{2,4,6,7},{8}} [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[1,4,3,8,7,6,5,2]=>{{1},{2,4,8},{3},{5,7},{6}}=>{{1,5,7},{2,4},{3},{6},{8}} [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>[1,4,3,7,8,6,5,2]=>{{1},{2,4,7},{3},{5,8},{6}}=>{{1,4},{2,5,7},{3},{6},{8}} [[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>[1,4,3,7,6,8,5,2]=>{{1},{2,4,7},{3},{5,6,8}}=>{{1,3,4},{2,5,7},{6},{8}} [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[1,3,4,8,7,6,5,2]=>{{1},{2,3,4,8},{5,7},{6}}=>{{1,5,6,7},{2,4},{3},{8}} [[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>[1,3,4,7,6,8,5,2]=>{{1},{2,3,4,7},{5,6,8}}=>{{1,3,4},{2,5,6,7},{8}} [[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[1,3,4,5,7,8,6,2]=>{{1},{2,3,4,5,7},{6,8}}=>{{1,3},{2,4,5,6,7},{8}} [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>[1,6,5,4,3,8,7,2]=>{{1},{2,6,8},{3,5},{4},{7}}=>{{1,3,7},{2},{4,6},{5},{8}} [[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>[1,5,6,4,3,8,7,2]=>{{1},{2,5},{3,6,8},{4},{7}}=>{{1,3,6},{2},{4,7},{5},{8}} [[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[1,4,3,6,5,8,7,2]=>{{1},{2,4,6,8},{3},{5},{7}}=>{{1,3,5,7},{2},{4},{6},{8}} [[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[1,3,4,5,6,8,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>{{1,3,4,5,6,7},{2},{8}} [[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[1,5,4,3,6,7,8,2]=>{{1},{2,5,6,7,8},{3,4}}=>{{1,2,3,4,7},{5,6},{8}} [[.,.],[[[[.,[[.,.],.]],.],.],.]]=>[1,4,5,3,6,7,8,2]=>{{1},{2,4},{3,5,6,7,8}}=>{{1,2,3,4,6},{5,7},{8}} [[.,.],[[[[[.,[.,.]],.],.],.],.]]=>[1,4,3,5,6,7,8,2]=>{{1},{2,4,5,6,7,8},{3}}=>{{1,2,3,4,5,7},{6},{8}} [[.,.],[[[[[[.,.],.],.],.],.],.]]=>[1,3,4,5,6,7,8,2]=>{{1},{2,3,4,5,6,7,8}}=>{{1,2,3,4,5,6,7},{8}} [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,6},{2,5},{3,4},{7,8}} [[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[2,1,6,7,8,5,4,3]=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,6},{7,8}} [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[2,1,6,5,8,7,4,3]=>{{1,2},{3,6,7},{4,5,8}}=>{{1,4,5},{2,3,6},{7,8}} [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[2,1,7,6,5,8,4,3]=>{{1,2},{3,7},{4,6,8},{5}}=>{{1,3,5},{2,6},{4},{7,8}} [[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[2,1,6,7,5,8,4,3]=>{{1,2},{3,6,8},{4,7},{5}}=>{{1,3,6},{2,5},{4},{7,8}} [[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>[2,1,6,5,7,8,4,3]=>{{1,2},{3,6,8},{4,5,7}}=>{{1,3,6},{2,4,5},{7,8}} [[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[2,1,5,6,7,8,4,3]=>{{1,2},{3,5,7},{4,6,8}}=>{{1,3,5},{2,4,6},{7,8}} [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[2,1,4,8,7,6,5,3]=>{{1,2},{3,4,8},{5,7},{6}}=>{{1,5,6},{2,4},{3},{7,8}} [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[2,1,4,7,8,6,5,3]=>{{1,2},{3,4,7},{5,8},{6}}=>{{1,4},{2,5,6},{3},{7,8}} [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[2,1,4,5,8,7,6,3]=>{{1,2},{3,4,5,8},{6,7}}=>{{1,4,5,6},{2,3},{7,8}} 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[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[2,3,4,1,6,5,8,7]=>{{1,2,3,4},{5,6},{7,8}}=>{{1,2},{3,4},{5,6,7,8}} [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7]=>{{1,2},{3,4},{5,6},{7,8}}=>{{1,2},{3,4},{5,6},{7,8}} [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>[5,4,3,2,1,6,8,7]=>{{1,5},{2,4},{3},{6},{7,8}}=>{{1,2},{3},{4,8},{5,7},{6}} [[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[4,3,2,1,5,6,8,7]=>{{1,4},{2,3},{5},{6},{7,8}}=>{{1,2},{3},{4},{5,8},{6,7}} [[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>[3,2,4,1,5,6,8,7]=>{{1,3,4},{2},{5},{6},{7,8}}=>{{1,2},{3},{4},{5,6,8},{7}} [[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[2,3,4,1,5,6,8,7]=>{{1,2,3,4},{5},{6},{7,8}}=>{{1,2},{3},{4},{5,6,7,8}} [[[[[[.,[.,.]],.],.],.],.],[.,.]]=>[2,1,3,4,5,6,8,7]=>{{1,2},{3},{4},{5},{6},{7,8}}=>{{1,2},{3},{4},{5},{6},{7,8}} [[[[[[[.,.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,8,7]=>{{1},{2},{3},{4},{5},{6},{7,8}}=>{{1,2},{3},{4},{5},{6},{7},{8}} [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1},{2,8},{3,7},{4,6},{5}} 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[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]=>[1,2,3,4,5,6,7,9,10,8]=>{{1},{2},{3},{4},{5},{6},{7},{8,9,10}}=>{{1,2,3},{4},{5},{6},{7},{8},{9},{10}} [[[[[[.,.],.],.],.],.],[[.,[.,.]],.]]=>[1,2,3,4,5,8,7,9,6]=>{{1},{2},{3},{4},{5},{6,8,9},{7}}=>{{1,2,4},{3},{5},{6},{7},{8},{9}} [[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,5,6,8,9,10,7]=>{{1},{2},{3},{4},{5},{6},{7,8,9,10}}=>{{1,2,3,4},{5},{6},{7},{8},{9},{10}} [[[[[.,.],.],.],.],[[[.,[.,.]],.],.]]=>[1,2,3,4,7,6,8,9,5]=>{{1},{2},{3},{4},{5,7,8,9},{6}}=>{{1,2,3,5},{4},{6},{7},{8},{9}} [[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,4,5,7,8,9,10,6]=>{{1},{2},{3},{4},{5},{6,7,8,9,10}}=>{{1,2,3,4,5},{6},{7},{8},{9},{10}} [[[[.,.],.],.],[[[[.,[.,.]],.],.],.]]=>[1,2,3,6,5,7,8,9,4]=>{{1},{2},{3},{4,6,7,8,9},{5}}=>{{1,2,3,4,6},{5},{7},{8},{9}} [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]=>[1,2,3,4,6,7,8,9,10,5]=>{{1},{2},{3},{4},{5,6,7,8,9,10}}=>{{1,2,3,4,5,6},{7},{8},{9},{10}} [[[.,.],.],[[[[[.,[.,.]],.],.],.],.]]=>[1,2,5,4,6,7,8,9,3]=>{{1},{2},{3,5,6,7,8,9},{4}}=>{{1,2,3,4,5,7},{6},{8},{9}} [[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]]=>[1,2,3,5,6,7,8,9,10,4]=>{{1},{2},{3},{4,5,6,7,8,9,10}}=>{{1,2,3,4,5,6,7},{8},{9},{10}} [[.,.],[[[[[[.,[.,.]],.],.],.],.],.]]=>[1,4,3,5,6,7,8,9,2]=>{{1},{2,4,5,6,7,8,9},{3}}=>{{1,2,3,4,5,6,8},{7},{9}} [[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]]=>[1,2,4,5,6,7,8,9,10,3]=>{{1},{2},{3,4,5,6,7,8,9,10}}=>{{1,2,3,4,5,6,7,8},{9},{10}} [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[1,3,4,5,6,7,8,9,10,2]=>{{1},{2,3,4,5,6,7,8,9,10}}=>{{1,2,3,4,5,6,7,8,9},{10}} [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[1,9,8,7,6,5,4,3,2]=>{{1},{2,9},{3,8},{4,7},{5,6}}=>{{1,8},{2,7},{3,6},{4,5},{9}} [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[1,10,9,8,7,6,5,4,3,2]=>{{1},{2,10},{3,9},{4,8},{5,7},{6}}=>{{1,9},{2,8},{3,7},{4,6},{5},{10}} [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]=>[10,9,8,7,6,5,4,3,2,1,11]=>{{1,10},{2,9},{3,8},{4,7},{5,6},{11}}=>{{1},{2,11},{3,10},{4,9},{5,8},{6,7}} [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[1,11,10,9,8,7,6,5,4,3,2]=>{{1},{2,11},{3,10},{4,9},{5,8},{6,7}}=>{{1,10},{2,9},{3,8},{4,7},{5,6},{11}} [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]=>[7,6,5,4,3,2,1,8,9]=>{{1,7},{2,6},{3,5},{4},{8},{9}}=>{{1},{2},{3,9},{4,8},{5,7},{6}} [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]=>[6,5,4,3,2,1,7,8,9]=>{{1,6},{2,5},{3,4},{7},{8},{9}}=>{{1},{2},{3},{4,9},{5,8},{6,7}} [[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]=>[5,4,3,2,1,6,7,8,9]=>{{1,5},{2,4},{3},{6},{7},{8},{9}}=>{{1},{2},{3},{4},{5,9},{6,8},{7}} [[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]=>[4,3,2,1,5,6,7,8,9]=>{{1,4},{2,3},{5},{6},{7},{8},{9}}=>{{1},{2},{3},{4},{5},{6,9},{7,8}} [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]=>[3,2,1,4,5,6,7,8,9]=>{{1,3},{2},{4},{5},{6},{7},{8},{9}}=>{{1},{2},{3},{4},{5},{6},{7,9},{8}} [[[[[[[[.,[.,.]],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9]=>{{1,2},{3},{4},{5},{6},{7},{8},{9}}=>{{1},{2},{3},{4},{5},{6},{7},{8,9}} [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]=>[8,7,6,5,4,3,2,1,9,10]=>{{1,8},{2,7},{3,6},{4,5},{9},{10}}=>{{1},{2},{3,10},{4,9},{5,8},{6,7}} [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]=>[7,6,5,4,3,2,1,8,9,10]=>{{1,7},{2,6},{3,5},{4},{8},{9},{10}}=>{{1},{2},{3},{4,10},{5,9},{6,8},{7}} [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]=>[6,5,4,3,2,1,7,8,9,10]=>{{1,6},{2,5},{3,4},{7},{8},{9},{10}}=>{{1},{2},{3},{4},{5,10},{6,9},{7,8}} [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]=>[5,4,3,2,1,6,7,8,9,10]=>{{1,5},{2,4},{3},{6},{7},{8},{9},{10}}=>{{1},{2},{3},{4},{5},{6,10},{7,9},{8}} [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]=>[4,3,2,1,5,6,7,8,9,10]=>{{1,4},{2,3},{5},{6},{7},{8},{9},{10}}=>{{1},{2},{3},{4},{5},{6},{7,10},{8,9}} [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]=>[3,2,1,4,5,6,7,8,9,10]=>{{1,3},{2},{4},{5},{6},{7},{8},{9},{10}}=>{{1},{2},{3},{4},{5},{6},{7},{8,10},{9}} [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10]=>{{1,2},{3},{4},{5},{6},{7},{8},{9},{10}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9,10}} [[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10,11]=>{{1,2},{3},{4},{5},{6},{7},{8},{9},{10},{11}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10,11}} [[.,[[[[[[[.,.],.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,8,1,9]=>{{1,2,3,4,5,6,7,8},{9}}=>{{1},{2,3,4,5,6,7,8,9}} [[[.,[[[[[[.,.],.],.],.],.],.]],.],.]=>[2,3,4,5,6,7,1,8,9]=>{{1,2,3,4,5,6,7},{8},{9}}=>{{1},{2},{3,4,5,6,7,8,9}} [[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,8,9,1,10]=>{{1,2,3,4,5,6,7,8,9},{10}}=>{{1},{2,3,4,5,6,7,8,9,10}}
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
Map
weak exceedance partition
Description
The set partition induced by the weak exceedances of a permutation.
This is the coarsest set partition that contains all arcs $(i, \pi(i))$ with $i\leq\pi(i)$.
Map
complement
Description
The complement of a set partition obtained by replacing $i$ with $n+1-i$.