Identifier
Mp00017: Binary trees to 312-avoiding permutationPermutations
Mp00151: Permutations to cycle typeSet 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]=>{{1,2,3,4}}=>{{1,2,3,4}} [.,[[.,.],[.,.]]]=>[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]=>{{1,2,4,5},{3}}=>{{1,2,4,5},{3}} [.,[.,[[.,.],[.,.]]]]=>[3,5,4,2,1]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}} [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}} [.,[.,[[[.,.],.],.]]]=>[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]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}} [.,[[.,[.,.]],[.,.]]]=>[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]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}} [.,[[[.,.],[.,.]],.]]=>[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},{2,3,4,5}}=>{{1,2,3,4},{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]=>{{1,2,3,4},{5}}=>{{1},{2,3,4,5}} [[.,[[.,.],[.,.]]],.]=>[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]=>{{1,2,5,6},{3,4}}=>{{1,2,5,6},{3,4}} [.,[.,[.,[[.,.],[.,.]]]]]=>[4,6,5,3,2,1]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}} [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}} [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>{{1,3,4,6},{2,5}}=>{{1,3,4,6},{2,5}} [.,[.,[[.,.],[.,[.,.]]]]]=>[3,6,5,4,2,1]=>{{1,2,3,5,6},{4}}=>{{1,2,4,5,6},{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]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}} [.,[.,[[[.,.],.],[.,.]]]]=>[3,4,6,5,2,1]=>{{1,3,6},{2,4,5}}=>{{1,4,6},{2,3,5}} [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>{{1,2,4,5,6},{3}}=>{{1,2,3,5,6},{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]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}} [.,[[.,.],[.,[.,[.,.]]]]]=>[2,6,5,4,3,1]=>{{1,2,6},{3,5},{4}}=>{{1,5,6},{2,4},{3}} [.,[[.,.],[.,[[.,.],.]]]]=>[2,5,6,4,3,1]=>{{1,2,3,5,6},{4}}=>{{1,2,4,5,6},{3}} [.,[[.,.],[[.,.],[.,.]]]]=>[2,4,6,5,3,1]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}} [.,[[.,.],[[.,[.,.]],.]]]=>[2,5,4,6,3,1]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}} [.,[[.,.],[[[.,.],.],.]]]=>[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]=>{{1,3,4,5,6},{2}}=>{{1,2,3,4,6},{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]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}} [.,[[.,[.,[.,.]]],[.,.]]]=>[4,3,2,6,5,1]=>{{1,4,6},{2,3},{5}}=>{{1,3,6},{2},{4,5}} [.,[[.,[[.,.],.]],[.,.]]]=>[3,4,2,6,5,1]=>{{1,2,3,4,6},{5}}=>{{1,3,4,5,6},{2}} [.,[[[.,.],[.,.]],[.,.]]]=>[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]=>{{1,2,4,5,6},{3}}=>{{1,2,3,5,6},{4}} [.,[[.,[[.,.],[.,.]]],.]]=>[3,5,4,2,6,1]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}} [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}} [.,[[.,[[[.,.],.],.]],.]]=>[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]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}} [.,[[[.,[.,.]],[.,.]],.]]=>[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]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}} [.,[[[[.,.],[.,.]],.],.]]=>[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},{2,3,5,6},{4}}=>{{1,2,4,5},{3},{6}} [[.,.],[.,[[.,.],[.,.]]]]=>[1,4,6,5,3,2]=>{{1},{2,3,4,5,6}}=>{{1,2,3,4,5},{6}} [[.,.],[.,[[.,[.,.]],.]]]=>[1,5,4,6,3,2]=>{{1},{2,3,4,5,6}}=>{{1,2,3,4,5},{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},{2,3,4,5,6}}=>{{1,2,3,4,5},{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},{2,3,4,5,6}}=>{{1,2,3,4,5},{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},{3,4,5,6}}=>{{1,2,3,4},{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},{3,4,5,6}}=>{{1,2,3,4},{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]=>{{1,2,3,4},{5,6}}=>{{1,2},{3,4,5,6}} [[.,[[.,.],[.,.]]],[.,.]]=>[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]=>{{1,2,4,5},{3},{6}}=>{{1},{2,3,5,6},{4}} [[.,[.,[[.,.],[.,.]]]],.]=>[3,5,4,2,1,6]=>{{1,2,3,4,5},{6}}=>{{1},{2,3,4,5,6}} [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>{{1,2,3,4,5},{6}}=>{{1},{2,3,4,5,6}} [[.,[.,[[[.,.],.],.]]],.]=>[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]=>{{1,2,3,4,5},{6}}=>{{1},{2,3,4,5,6}} [[.,[[.,[.,.]],[.,.]]],.]=>[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]=>{{1,2,3,4,5},{6}}=>{{1},{2,3,4,5,6}} [[.,[[[.,.],[.,.]],.]],.]=>[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},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{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]=>{{1,2,3,4},{5},{6}}=>{{1},{2},{3,4,5,6}} [[[.,[[.,.],[.,.]]],.],.]=>[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]=>{{1,2,6,7},{3,5},{4}}=>{{1,2,6,7},{3,5},{4}} [.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[5,7,6,4,3,2,1]=>{{1,2,3,5,6,7},{4}}=>{{1,2,3,5,6,7},{4}} [.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>{{1,2,3,5,6,7},{4}}=>{{1,2,3,5,6,7},{4}} [.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>{{1,3,5,7},{2,6},{4}}=>{{1,3,5,7},{2,6},{4}} [.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[4,7,6,5,3,2,1]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[.,[.,[[.,.],[[.,.],.]]]]]=>[4,6,7,5,3,2,1]=>{{1,3,4,5,7},{2,6}}=>{{1,3,4,5,7},{2,6}} [.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[5,4,7,6,3,2,1]=>{{1,3,5,7},{2,4,6}}=>{{1,3,5,7},{2,4,6}} [.,[.,[.,[[[.,.],.],[.,.]]]]]=>[4,5,7,6,3,2,1]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>{{1,3,4,5,7},{2,6}}=>{{1,3,4,5,7},{2,6}} [.,[.,[.,[[[.,.],[.,.]],.]]]]=>[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]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>{{1,4,7},{2,3,5,6}}=>{{1,4,7},{2,3,5,6}} [.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[3,7,6,5,4,2,1]=>{{1,2,3,6,7},{4,5}}=>{{1,2,5,6,7},{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},{2,4,5,6}}=>{{1,5,7},{2,3,4,6}} [.,[.,[[.,.],[[.,[.,.]],.]]]]=>[3,6,5,7,4,2,1]=>{{1,3,4,5,7},{2,6}}=>{{1,3,4,5,7},{2,6}} [.,[.,[[.,.],[[[.,.],.],.]]]]=>[3,5,6,7,4,2,1]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[4,3,7,6,5,2,1]=>{{1,2,3,4,6,7},{5}}=>{{1,2,4,5,6,7},{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]=>{{1,2,3,4,6,7},{5}}=>{{1,2,4,5,6,7},{3}} [.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[5,4,3,7,6,2,1]=>{{1,2,4,5,6,7},{3}}=>{{1,2,3,4,6,7},{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]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>{{1,2,5,6,7},{3,4}}=>{{1,2,3,6,7},{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]=>{{1,3,4,5,7},{2,6}}=>{{1,3,4,5,7},{2,6}} [.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>{{1,5,7},{2,3,4,6}}=>{{1,3,7},{2,4,5,6}} [.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[.,[[[.,.],[.,[.,.]]],.]]]=>[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]=>{{1,2,3,5,6,7},{4}}=>{{1,2,3,5,6,7},{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]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[.,[[[.,[.,[.,.]]],.],.]]]=>[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]=>{{1,2,4,5,6,7},{3}}=>{{1,2,3,4,6,7},{5}} [.,[.,[[[[.,.],[.,.]],.],.]]]=>[3,5,4,6,7,2,1]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[.,[[[[[.,.],.],.],.],.]]]=>[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]=>{{1,2,3,6,7},{4,5}}=>{{1,2,5,6,7},{3,4}} [.,[[.,.],[.,[[.,.],[.,.]]]]]=>[2,5,7,6,4,3,1]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[[.,.],[.,[[.,[.,.]],.]]]]=>[2,6,5,7,4,3,1]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[[.,.],[.,[[[.,.],.],.]]]]=>[2,5,6,7,4,3,1]=>{{1,2,4,5,7},{3,6}}=>{{1,3,4,6,7},{2,5}} [.,[[.,.],[[.,.],[.,[.,.]]]]]=>[2,4,7,6,5,3,1]=>{{1,2,3,4,6,7},{5}}=>{{1,2,4,5,6,7},{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]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[[.,.],[[[.,.],.],[.,.]]]]=>[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]=>{{1,2,3,5,6,7},{4}}=>{{1,2,3,5,6,7},{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]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[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]=>{{1,3,4,6,7},{2},{5}}=>{{1,2,4,5,7},{3},{6}} [.,[[.,[.,.]],[[.,.],[.,.]]]]=>[3,2,5,7,6,4,1]=>{{1,3,4,5,6,7},{2}}=>{{1,2,3,4,5,7},{6}} [.,[[.,[.,.]],[[.,[.,.]],.]]]=>[3,2,6,5,7,4,1]=>{{1,3,4,5,6,7},{2}}=>{{1,2,3,4,5,7},{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]=>{{1,2,3,4,6,7},{5}}=>{{1,2,4,5,6,7},{3}} [.,[[[.,.],.],[[.,.],[.,.]]]]=>[2,3,5,7,6,4,1]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[[[.,.],.],[[.,[.,.]],.]]]=>[2,3,6,5,7,4,1]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[[[.,.],.],[[[.,.],.],.]]]=>[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]=>{{1,4,5,6,7},{2,3}}=>{{1,2,3,4,7},{5,6}} [.,[[.,[[.,.],.]],[.,[.,.]]]]=>[3,4,2,7,6,5,1]=>{{1,2,3,4,7},{5,6}}=>{{1,4,5,6,7},{2,3}} [.,[[.,[[.,.],.]],[[.,.],.]]]=>[3,4,2,6,7,5,1]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[[[.,.],[.,.]],[.,[.,.]]]]=>[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]=>{{1,2,4,5,6,7},{3}}=>{{1,2,3,4,6,7},{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]=>{{1,3,4,5,6,7},{2}}=>{{1,2,3,4,5,7},{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]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[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]=>{{1,2,4,5,7},{3},{6}}=>{{1,3,4,6,7},{2},{5}} [.,[[.,[[.,.],[.,.]]],[.,.]]]=>[3,5,4,2,7,6,1]=>{{1,2,3,4,5,7},{6}}=>{{1,3,4,5,6,7},{2}} [.,[[.,[[.,[.,.]],.]],[.,.]]]=>[4,3,5,2,7,6,1]=>{{1,2,3,4,5,7},{6}}=>{{1,3,4,5,6,7},{2}} [.,[[.,[[[.,.],.],.]],[.,.]]]=>[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]=>{{1,2,3,4,5,7},{6}}=>{{1,3,4,5,6,7},{2}} [.,[[[.,[.,.]],[.,.]],[.,.]]]=>[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]=>{{1,2,3,4,5,7},{6}}=>{{1,3,4,5,6,7},{2}} [.,[[[[.,.],[.,.]],.],[.,.]]]=>[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]=>{{1,2,5,6,7},{3,4}}=>{{1,2,3,6,7},{4,5}} [.,[[.,[.,[[.,.],[.,.]]]],.]]=>[4,6,5,3,2,7,1]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>{{1,3,4,6,7},{2,5}}=>{{1,2,4,5,7},{3,6}} [.,[[.,[[.,.],[.,[.,.]]]],.]]=>[3,6,5,4,2,7,1]=>{{1,2,3,5,6,7},{4}}=>{{1,2,3,5,6,7},{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]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[[.,[[[.,.],.],[.,.]]],.]]=>[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]=>{{1,2,4,5,6,7},{3}}=>{{1,2,3,4,6,7},{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]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[[[.,.],[.,[.,[.,.]]]],.]]=>[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]=>{{1,2,3,5,6,7},{4}}=>{{1,2,3,5,6,7},{4}} [.,[[[.,.],[[.,.],[.,.]]],.]]=>[2,4,6,5,3,7,1]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[[[.,.],[[.,[.,.]],.]],.]]=>[2,5,4,6,3,7,1]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[[[.,.],[[[.,.],.],.]],.]]=>[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]=>{{1,3,4,5,6,7},{2}}=>{{1,2,3,4,5,7},{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]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[[[.,[.,[.,.]]],[.,.]],.]]=>[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]=>{{1,2,3,4,6,7},{5}}=>{{1,2,4,5,6,7},{3}} [.,[[[[.,.],[.,.]],[.,.]],.]]=>[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]=>{{1,2,4,5,6,7},{3}}=>{{1,2,3,4,6,7},{5}} [.,[[[.,[[.,.],[.,.]]],.],.]]=>[3,5,4,2,6,7,1]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[[[.,[[[.,.],.],.]],.],.]]=>[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]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[[[[.,[.,.]],[.,.]],.],.]]=>[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]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}} [.,[[[[[.,.],[.,.]],.],.],.]]=>[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},{2,3,6,7},{4,5}}=>{{1,2,5,6},{3,4},{7}} [[.,.],[.,[.,[[.,.],[.,.]]]]]=>[1,5,7,6,4,3,2]=>{{1},{2,3,4,5,6,7}}=>{{1,2,3,4,5,6},{7}} [[.,.],[.,[.,[[.,[.,.]],.]]]]=>[1,6,5,7,4,3,2]=>{{1},{2,3,4,5,6,7}}=>{{1,2,3,4,5,6},{7}} [[.,.],[.,[.,[[[.,.],.],.]]]]=>[1,5,6,7,4,3,2]=>{{1},{2,4,5,7},{3,6}}=>{{1,3,4,6},{2,5},{7}} [[.,.],[.,[[.,.],[.,[.,.]]]]]=>[1,4,7,6,5,3,2]=>{{1},{2,3,4,6,7},{5}}=>{{1,2,4,5,6},{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},{2,3,4,5,6,7}}=>{{1,2,3,4,5,6},{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},{2,3,5,6,7},{4}}=>{{1,2,3,5,6},{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},{2,3,4,5,6,7}}=>{{1,2,3,4,5,6},{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},{2,3,4,6,7},{5}}=>{{1,2,4,5,6},{3},{7}} [[.,.],[[.,.],[[.,.],[.,.]]]]=>[1,3,5,7,6,4,2]=>{{1},{2,3,4,5,6,7}}=>{{1,2,3,4,5,6},{7}} [[.,.],[[.,.],[[.,[.,.]],.]]]=>[1,3,6,5,7,4,2]=>{{1},{2,3,4,5,6,7}}=>{{1,2,3,4,5,6},{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},{2,4,5,6,7},{3}}=>{{1,2,3,4,6},{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},{2,3,4,5,6,7}}=>{{1,2,3,4,5,6},{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},{2,3,4,5,7},{6}}=>{{1,3,4,5,6},{2},{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},{2,3,5,6,7},{4}}=>{{1,2,3,5,6},{4},{7}} [[.,.],[[.,[[.,.],[.,.]]],.]]=>[1,4,6,5,3,7,2]=>{{1},{2,3,4,5,6,7}}=>{{1,2,3,4,5,6},{7}} [[.,.],[[.,[[.,[.,.]],.]],.]]=>[1,5,4,6,3,7,2]=>{{1},{2,3,4,5,6,7}}=>{{1,2,3,4,5,6},{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},{2,3,4,5,6,7}}=>{{1,2,3,4,5,6},{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},{2,3,4,5,6,7}}=>{{1,2,3,4,5,6},{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},{3,4,6,7},{5}}=>{{1,2,4,5},{3},{6,7}} [[.,[.,.]],[.,[[.,.],[.,.]]]]=>[2,1,5,7,6,4,3]=>{{1,2},{3,4,5,6,7}}=>{{1,2,3,4,5},{6,7}} [[.,[.,.]],[.,[[.,[.,.]],.]]]=>[2,1,6,5,7,4,3]=>{{1,2},{3,4,5,6,7}}=>{{1,2,3,4,5},{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},{3,4,5,6,7}}=>{{1,2,3,4,5},{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},{3,4,5,6,7}}=>{{1,2,3,4,5},{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},{3,4,6,7},{5}}=>{{1,2,4,5},{3},{6},{7}} [[[.,.],.],[.,[[.,.],[.,.]]]]=>[1,2,5,7,6,4,3]=>{{1},{2},{3,4,5,6,7}}=>{{1,2,3,4,5},{6},{7}} [[[.,.],.],[.,[[.,[.,.]],.]]]=>[1,2,6,5,7,4,3]=>{{1},{2},{3,4,5,6,7}}=>{{1,2,3,4,5},{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},{3,4,5,6,7}}=>{{1,2,3,4,5},{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},{3,4,5,6,7}}=>{{1,2,3,4,5},{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},{4,5,6,7}}=>{{1,2,3,4},{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},{4,5,6,7}}=>{{1,2,3,4},{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},{4,5,6,7}}=>{{1,2,3,4},{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},{4,5,6,7}}=>{{1,2,3,4},{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},{4,5,6,7}}=>{{1,2,3,4},{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]=>{{1,2,3,4},{5,7},{6}}=>{{1,3},{2},{4,5,6,7}} [[.,[.,[[.,.],.]]],[[.,.],.]]=>[3,4,2,1,6,7,5]=>{{1,2,3,4},{5,6,7}}=>{{1,2,3},{4,5,6,7}} [[.,[[.,.],[.,.]]],[.,[.,.]]]=>[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]=>{{1,2,4,5},{3},{6,7}}=>{{1,2},{3,4,6,7},{5}} [[.,[.,[[.,.],[.,.]]]],[.,.]]=>[3,5,4,2,1,7,6]=>{{1,2,3,4,5},{6,7}}=>{{1,2},{3,4,5,6,7}} [[.,[.,[[.,[.,.]],.]]],[.,.]]=>[4,3,5,2,1,7,6]=>{{1,2,3,4,5},{6,7}}=>{{1,2},{3,4,5,6,7}} [[.,[.,[[[.,.],.],.]]],[.,.]]=>[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]=>{{1,2,3,4,5},{6,7}}=>{{1,2},{3,4,5,6,7}} [[.,[[.,[.,.]],[.,.]]],[.,.]]=>[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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[[[.,.],[.,[[[.,.],.],.]]],.]=>[1,4,5,6,3,2,7]=>{{1},{2,4,6},{3,5},{7}}=>{{1},{2,4,6},{3,5},{7}} [[[.,.],[[.,.],[.,[.,.]]]],.]=>[1,3,6,5,4,2,7]=>{{1},{2,3,6},{4,5},{7}}=>{{1},{2,5,6},{3,4},{7}} [[[.,.],[[.,.],[[.,.],.]]],.]=>[1,3,5,6,4,2,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}} [[[.,.],[[.,[.,.]],[.,.]]],.]=>[1,4,3,6,5,2,7]=>{{1},{2,4,6},{3},{5},{7}}=>{{1},{2,4,6},{3},{5},{7}} [[[.,.],[[[.,.],.],[.,.]]],.]=>[1,3,4,6,5,2,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,4,5,6},{3},{7}} [[[.,.],[[.,[.,[.,.]]],.]],.]=>[1,5,4,3,6,2,7]=>{{1},{2,5,6},{3,4},{7}}=>{{1},{2,3,6},{4,5},{7}} [[[.,.],[[.,[[.,.],.]],.]],.]=>[1,4,5,3,6,2,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}} [[[.,.],[[[.,.],[.,.]],.]],.]=>[1,3,5,4,6,2,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}} [[[.,.],[[[.,[.,.]],.],.]],.]=>[1,4,3,5,6,2,7]=>{{1},{2,4,5,6},{3},{7}}=>{{1},{2,3,4,6},{5},{7}} [[[.,.],[[[[.,.],.],.],.]],.]=>[1,3,4,5,6,2,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}} [[[.,[.,.]],[.,[.,[.,.]]]],.]=>[2,1,6,5,4,3,7]=>{{1,2},{3,6},{4,5},{7}}=>{{1},{2,5},{3,4},{6,7}} [[[.,[.,.]],[.,[[.,.],.]]],.]=>[2,1,5,6,4,3,7]=>{{1,2},{3,4,5,6},{7}}=>{{1},{2,3,4,5},{6,7}} [[[.,[.,.]],[[.,.],[.,.]]],.]=>[2,1,4,6,5,3,7]=>{{1,2},{3,4,6},{5},{7}}=>{{1},{2,4,5},{3},{6,7}} [[[.,[.,.]],[[.,[.,.]],.]],.]=>[2,1,5,4,6,3,7]=>{{1,2},{3,5,6},{4},{7}}=>{{1},{2,3,5},{4},{6,7}} [[[.,[.,.]],[[[.,.],.],.]],.]=>[2,1,4,5,6,3,7]=>{{1,2},{3,4,5,6},{7}}=>{{1},{2,3,4,5},{6,7}} [[[[.,.],.],[.,[.,[.,.]]]],.]=>[1,2,6,5,4,3,7]=>{{1},{2},{3,6},{4,5},{7}}=>{{1},{2,5},{3,4},{6},{7}} [[[[.,.],.],[.,[[.,.],.]]],.]=>[1,2,5,6,4,3,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2,3,4,5},{6},{7}} [[[[.,.],.],[[.,.],[.,.]]],.]=>[1,2,4,6,5,3,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2,4,5},{3},{6},{7}} [[[[.,.],.],[[.,[.,.]],.]],.]=>[1,2,5,4,6,3,7]=>{{1},{2},{3,5,6},{4},{7}}=>{{1},{2,3,5},{4},{6},{7}} [[[[.,.],.],[[[.,.],.],.]],.]=>[1,2,4,5,6,3,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2,3,4,5},{6},{7}} [[[.,[.,[.,.]]],[.,[.,.]]],.]=>[3,2,1,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,7},{6}} [[[.,[.,[.,.]]],[[.,.],.]],.]=>[3,2,1,5,6,4,7]=>{{1,3},{2},{4,5,6},{7}}=>{{1},{2,3,4},{5,7},{6}} [[[.,[[.,.],.]],[.,[.,.]]],.]=>[2,3,1,6,5,4,7]=>{{1,2,3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,6,7}} [[[.,[[.,.],.]],[[.,.],.]],.]=>[2,3,1,5,6,4,7]=>{{1,2,3},{4,5,6},{7}}=>{{1},{2,3,4},{5,6,7}} [[[[.,.],[.,.]],[.,[.,.]]],.]=>[1,3,2,6,5,4,7]=>{{1},{2,3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,6},{7}} [[[[.,.],[.,.]],[[.,.],.]],.]=>[1,3,2,5,6,4,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3,4},{5,6},{7}} [[[[.,[.,.]],.],[.,[.,.]]],.]=>[2,1,3,6,5,4,7]=>{{1,2},{3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5},{6,7}} [[[[.,[.,.]],.],[[.,.],.]],.]=>[2,1,3,5,6,4,7]=>{{1,2},{3},{4,5,6},{7}}=>{{1},{2,3,4},{5},{6,7}} [[[[[.,.],.],.],[.,[.,.]]],.]=>[1,2,3,6,5,4,7]=>{{1},{2},{3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5},{6},{7}} [[[[[.,.],.],.],[[.,.],.]],.]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2,3,4},{5},{6},{7}} [[[.,[.,[.,[.,.]]]],[.,.]],.]=>[4,3,2,1,6,5,7]=>{{1,4},{2,3},{5,6},{7}}=>{{1},{2,3},{4,7},{5,6}} [[[.,[.,[[.,.],.]]],[.,.]],.]=>[3,4,2,1,6,5,7]=>{{1,2,3,4},{5,6},{7}}=>{{1},{2,3},{4,5,6,7}} [[[.,[[.,.],[.,.]]],[.,.]],.]=>[2,4,3,1,6,5,7]=>{{1,2,4},{3},{5,6},{7}}=>{{1},{2,3},{4,6,7},{5}} [[[.,[[.,[.,.]],.]],[.,.]],.]=>[3,2,4,1,6,5,7]=>{{1,3,4},{2},{5,6},{7}}=>{{1},{2,3},{4,5,7},{6}} [[[.,[[[.,.],.],.]],[.,.]],.]=>[2,3,4,1,6,5,7]=>{{1,2,3,4},{5,6},{7}}=>{{1},{2,3},{4,5,6,7}} [[[[.,.],[.,[.,.]]],[.,.]],.]=>[1,4,3,2,6,5,7]=>{{1},{2,4},{3},{5,6},{7}}=>{{1},{2,3},{4,6},{5},{7}} [[[[.,.],[[.,.],.]],[.,.]],.]=>[1,3,4,2,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3},{4,5,6},{7}} [[[[.,[.,.]],[.,.]],[.,.]],.]=>[2,1,4,3,6,5,7]=>{{1,2},{3,4},{5,6},{7}}=>{{1},{2,3},{4,5},{6,7}} [[[[[.,.],.],[.,.]],[.,.]],.]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>{{1},{2,3},{4,5},{6},{7}} [[[[.,[.,[.,.]]],.],[.,.]],.]=>[3,2,1,4,6,5,7]=>{{1,3},{2},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,7},{6}} [[[[.,[[.,.],.]],.],[.,.]],.]=>[2,3,1,4,6,5,7]=>{{1,2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6,7}} [[[[[.,.],[.,.]],.],[.,.]],.]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}} [[[[[.,[.,.]],.],.],[.,.]],.]=>[2,1,3,4,6,5,7]=>{{1,2},{3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5},{6,7}} [[[[[[.,.],.],.],.],[.,.]],.]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5},{6},{7}} [[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1},{2},{3,7},{4,6},{5}} [[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>{{1,2,4,5},{3},{6},{7}}=>{{1},{2},{3,4,6,7},{5}} [[[.,[.,[[.,.],[.,.]]]],.],.]=>[3,5,4,2,1,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1},{2},{3,4,5,6,7}} [[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1},{2},{3,4,5,6,7}} [[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>{{1,3,5},{2,4},{6},{7}}=>{{1},{2},{3,5,7},{4,6}} [[[.,[[.,.],[.,[.,.]]]],.],.]=>[2,5,4,3,1,6,7]=>{{1,2,5},{3,4},{6},{7}}=>{{1},{2},{3,6,7},{4,5}} [[[.,[[.,.],[[.,.],.]]],.],.]=>[2,4,5,3,1,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1},{2},{3,4,5,6,7}} [[[.,[[.,[.,.]],[.,.]]],.],.]=>[3,2,5,4,1,6,7]=>{{1,3,5},{2},{4},{6},{7}}=>{{1},{2},{3,5,7},{4},{6}} [[[.,[[[.,.],.],[.,.]]],.],.]=>[2,3,5,4,1,6,7]=>{{1,2,3,5},{4},{6},{7}}=>{{1},{2},{3,5,6,7},{4}} [[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>{{1,4,5},{2,3},{6},{7}}=>{{1},{2},{3,4,7},{5,6}} [[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1},{2},{3,4,5,6,7}} [[[.,[[[.,.],[.,.]],.]],.],.]=>[2,4,3,5,1,6,7]=>{{1,2,4,5},{3},{6},{7}}=>{{1},{2},{3,4,6,7},{5}} [[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>{{1,3,4,5},{2},{6},{7}}=>{{1},{2},{3,4,5,7},{6}} [[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1},{2},{3,4,5,6,7}} [[[[.,.],[.,[.,[.,.]]]],.],.]=>[1,5,4,3,2,6,7]=>{{1},{2,5},{3,4},{6},{7}}=>{{1},{2},{3,6},{4,5},{7}} [[[[.,.],[.,[[.,.],.]]],.],.]=>[1,4,5,3,2,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2},{3,4,5,6},{7}} [[[[.,.],[[.,.],[.,.]]],.],.]=>[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]=>{{1,2,3,4},{5},{6},{7}}=>{{1},{2},{3},{4,5,6,7}} [[[[.,[[.,.],[.,.]]],.],.],.]=>[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}} [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,6},{2,5},{3,4},{7,8}} [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,4},{2,3},{5,8},{6,7}} [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[2,1,4,3,8,7,6,5]=>{{1,2},{3,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,6},{7,8}} [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,2},{3,8},{4,7},{5,6}} [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[2,1,6,5,4,3,8,7]=>{{1,2},{3,6},{4,5},{7,8}}=>{{1,2},{3,6},{4,5},{7,8}} [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[4,3,2,1,6,5,8,7]=>{{1,4},{2,3},{5,6},{7,8}}=>{{1,2},{3,4},{5,8},{6,7}} [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7]=>{{1,2},{3,4},{5,6},{7,8}}=>{{1,2},{3,4},{5,6},{7,8}} [[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
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
to cycle type
Description
Let $\pi=c_1\dots c_r$ a permutation of size $n$ decomposed in its cyclic parts. The associated set partition of $[n]$ then is $S=S_1\cup\dots\cup S_r$ such that $S_i$ is the set of integers in the cycle $c_i$.
A permutation is cyclic [1] if and only if its cycle type is a hook partition [2].
Map
complement
Description
The complement of a set partition obtained by replacing $i$ with $n+1-i$.