************************************************************************ * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2013 The FindStatCrew * * * * This information is distributed in the hope that it will be * * useful, but WITHOUT ANY WARRANTY; without even the implied * * warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. * ************************************************************************ ------------------------------------------------------------------------ Map identifier: Mp00029 ------------------------------------------------------------------------ Map name: to binary tree: left tree, up step, right tree, down step ------------------------------------------------------------------------ Domain: Dyck paths ------------------------------------------------------------------------ Codomain: Binary trees ------------------------------------------------------------------------ Description: Return the binary tree corresponding to the Dyck path under the transformation left tree - up step - right tree - down step. A Dyck path \$D\$ of semilength \$n\$ with \$n > 1\$ may be uniquely decomposed into \$L 1 R 0\$ for Dyck paths \$L,R\$ of respective semilengths \$n_1,n_2\$ with \$n_1+n_2 = n-1\$. This map sends \$D\$ to the binary tree \$T\$ consisting of a root node with a left child according to \$L\$ and a right child according to \$R\$ and then recursively proceeds. The base case of the unique Dyck path of semilength \$1\$ is sent to a single node. This map may also be described as the unique map sending the Tamari orders on Dyck paths to the Tamari order on binary trees. ------------------------------------------------------------------------ References: ------------------------------------------------------------------------ Code: def mapping(elt): return elt.to_binary_tree("L1R0") ------------------------------------------------------------------------ Map images: [1,0] => [.,.] [1,0,1,0] => [[.,.],.] [1,1,0,0] => [.,[.,.]] [1,0,1,0,1,0] => [[[.,.],.],.] [1,0,1,1,0,0] => [[.,.],[.,.]] [1,1,0,0,1,0] => [[.,[.,.]],.] [1,1,0,1,0,0] => [.,[[.,.],.]] [1,1,1,0,0,0] => [.,[.,[.,.]]] [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] [1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] [1,1,0,1,0,1,0,0] => [.,[[[.,.],.],.]] [1,1,0,1,1,0,0,0] => [.,[[.,.],[.,.]]] [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] [1,1,1,0,0,1,0,0] => [.,[[.,[.,.]],.]] [1,1,1,0,1,0,0,0] => [.,[.,[[.,.],.]]] [1,1,1,1,0,0,0,0] => [.,[.,[.,[.,.]]]] [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] [1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] [1,0,1,0,1,1,0,0,1,0] => [[[[.,.],.],[.,.]],.] [1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] [1,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[.,.]]] [1,0,1,1,0,0,1,0,1,0] => [[[[.,.],[.,.]],.],.] [1,0,1,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[.,.]] [1,0,1,1,0,1,0,0,1,0] => [[[.,.],[[.,.],.]],.] [1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] [1,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] [1,0,1,1,1,0,0,0,1,0] => [[[.,.],[.,[.,.]]],.] [1,0,1,1,1,0,0,1,0,0] => [[.,.],[[.,[.,.]],.]] [1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[.,.],.]]] [1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[.,[.,.]]]] [1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] [1,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,.]] [1,1,0,0,1,1,0,0,1,0] => [[[.,[.,.]],[.,.]],.] [1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],.]] [1,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[.,.]]] [1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] [1,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,.]] [1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] [1,1,0,1,0,1,0,1,0,0] => [.,[[[[.,.],.],.],.]] [1,1,0,1,0,1,1,0,0,0] => [.,[[[.,.],.],[.,.]]] [1,1,0,1,1,0,0,0,1,0] => [[.,[[.,.],[.,.]]],.] [1,1,0,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] [1,1,0,1,1,0,1,0,0,0] => [.,[[.,.],[[.,.],.]]] [1,1,0,1,1,1,0,0,0,0] => [.,[[.,.],[.,[.,.]]]] [1,1,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] [1,1,1,0,0,0,1,1,0,0] => [[.,[.,[.,.]]],[.,.]] [1,1,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] [1,1,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],.],.]] [1,1,1,0,0,1,1,0,0,0] => [.,[[.,[.,.]],[.,.]]] [1,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],.] [1,1,1,0,1,0,0,1,0,0] => [.,[[.,[[.,.],.]],.]] [1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,.],.],.]]] [1,1,1,0,1,1,0,0,0,0] => [.,[.,[[.,.],[.,.]]]] [1,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[.,.]]]],.] [1,1,1,1,0,0,0,1,0,0] => [.,[[.,[.,[.,.]]],.]] [1,1,1,1,0,0,1,0,0,0] => [.,[.,[[.,[.,.]],.]]] [1,1,1,1,0,1,0,0,0,0] => [.,[.,[.,[[.,.],.]]]] [1,1,1,1,1,0,0,0,0,0] => [.,[.,[.,[.,[.,.]]]]] [1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],.],.],.],.],.] [1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[.,.],.],.],.],[.,.]] [1,0,1,0,1,0,1,1,0,0,1,0] => [[[[[.,.],.],.],[.,.]],.] [1,0,1,0,1,0,1,1,0,1,0,0] => [[[[.,.],.],.],[[.,.],.]] [1,0,1,0,1,0,1,1,1,0,0,0] => [[[[.,.],.],.],[.,[.,.]]] [1,0,1,0,1,1,0,0,1,0,1,0] => [[[[[.,.],.],[.,.]],.],.] [1,0,1,0,1,1,0,0,1,1,0,0] => [[[[.,.],.],[.,.]],[.,.]] [1,0,1,0,1,1,0,1,0,0,1,0] => [[[[.,.],.],[[.,.],.]],.] [1,0,1,0,1,1,0,1,0,1,0,0] => [[[.,.],.],[[[.,.],.],.]] [1,0,1,0,1,1,0,1,1,0,0,0] => [[[.,.],.],[[.,.],[.,.]]] [1,0,1,0,1,1,1,0,0,0,1,0] => [[[[.,.],.],[.,[.,.]]],.] [1,0,1,0,1,1,1,0,0,1,0,0] => [[[.,.],.],[[.,[.,.]],.]] [1,0,1,0,1,1,1,0,1,0,0,0] => [[[.,.],.],[.,[[.,.],.]]] [1,0,1,0,1,1,1,1,0,0,0,0] => [[[.,.],.],[.,[.,[.,.]]]] [1,0,1,1,0,0,1,0,1,0,1,0] => [[[[[.,.],[.,.]],.],.],.] [1,0,1,1,0,0,1,0,1,1,0,0] => [[[[.,.],[.,.]],.],[.,.]] [1,0,1,1,0,0,1,1,0,0,1,0] => [[[[.,.],[.,.]],[.,.]],.] [1,0,1,1,0,0,1,1,0,1,0,0] => [[[.,.],[.,.]],[[.,.],.]] [1,0,1,1,0,0,1,1,1,0,0,0] => [[[.,.],[.,.]],[.,[.,.]]] [1,0,1,1,0,1,0,0,1,0,1,0] => [[[[.,.],[[.,.],.]],.],.] [1,0,1,1,0,1,0,0,1,1,0,0] => [[[.,.],[[.,.],.]],[.,.]] [1,0,1,1,0,1,0,1,0,0,1,0] => [[[.,.],[[[.,.],.],.]],.] [1,0,1,1,0,1,0,1,0,1,0,0] => [[.,.],[[[[.,.],.],.],.]] [1,0,1,1,0,1,0,1,1,0,0,0] => [[.,.],[[[.,.],.],[.,.]]] [1,0,1,1,0,1,1,0,0,0,1,0] => [[[.,.],[[.,.],[.,.]]],.] [1,0,1,1,0,1,1,0,0,1,0,0] => [[.,.],[[[.,.],[.,.]],.]] [1,0,1,1,0,1,1,0,1,0,0,0] => [[.,.],[[.,.],[[.,.],.]]] [1,0,1,1,0,1,1,1,0,0,0,0] => [[.,.],[[.,.],[.,[.,.]]]] [1,0,1,1,1,0,0,0,1,0,1,0] => [[[[.,.],[.,[.,.]]],.],.] [1,0,1,1,1,0,0,0,1,1,0,0] => [[[.,.],[.,[.,.]]],[.,.]] [1,0,1,1,1,0,0,1,0,0,1,0] => [[[.,.],[[.,[.,.]],.]],.] [1,0,1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,[.,.]],.],.]] [1,0,1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,[.,.]],[.,.]]] [1,0,1,1,1,0,1,0,0,0,1,0] => [[[.,.],[.,[[.,.],.]]],.] [1,0,1,1,1,0,1,0,0,1,0,0] => [[.,.],[[.,[[.,.],.]],.]] [1,0,1,1,1,0,1,0,1,0,0,0] => [[.,.],[.,[[[.,.],.],.]]] [1,0,1,1,1,0,1,1,0,0,0,0] => [[.,.],[.,[[.,.],[.,.]]]] [1,0,1,1,1,1,0,0,0,0,1,0] => [[[.,.],[.,[.,[.,.]]]],.] [1,0,1,1,1,1,0,0,0,1,0,0] => [[.,.],[[.,[.,[.,.]]],.]] [1,0,1,1,1,1,0,0,1,0,0,0] => [[.,.],[.,[[.,[.,.]],.]]] [1,0,1,1,1,1,0,1,0,0,0,0] => [[.,.],[.,[.,[[.,.],.]]]] [1,0,1,1,1,1,1,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,.]]]]] [1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,.]],.],.],.],.] [1,1,0,0,1,0,1,0,1,1,0,0] => [[[[.,[.,.]],.],.],[.,.]] [1,1,0,0,1,0,1,1,0,0,1,0] => [[[[.,[.,.]],.],[.,.]],.] [1,1,0,0,1,0,1,1,0,1,0,0] => [[[.,[.,.]],.],[[.,.],.]] [1,1,0,0,1,0,1,1,1,0,0,0] => [[[.,[.,.]],.],[.,[.,.]]] [1,1,0,0,1,1,0,0,1,0,1,0] => [[[[.,[.,.]],[.,.]],.],.] [1,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[.,.]],[.,.]],[.,.]] [1,1,0,0,1,1,0,1,0,0,1,0] => [[[.,[.,.]],[[.,.],.]],.] [1,1,0,0,1,1,0,1,0,1,0,0] => [[.,[.,.]],[[[.,.],.],.]] [1,1,0,0,1,1,0,1,1,0,0,0] => [[.,[.,.]],[[.,.],[.,.]]] [1,1,0,0,1,1,1,0,0,0,1,0] => [[[.,[.,.]],[.,[.,.]]],.] [1,1,0,0,1,1,1,0,0,1,0,0] => [[.,[.,.]],[[.,[.,.]],.]] [1,1,0,0,1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,[[.,.],.]]] [1,1,0,0,1,1,1,1,0,0,0,0] => [[.,[.,.]],[.,[.,[.,.]]]] [1,1,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[.,.],.]],.],.],.] [1,1,0,1,0,0,1,0,1,1,0,0] => [[[.,[[.,.],.]],.],[.,.]] [1,1,0,1,0,0,1,1,0,0,1,0] => [[[.,[[.,.],.]],[.,.]],.] [1,1,0,1,0,0,1,1,0,1,0,0] => [[.,[[.,.],.]],[[.,.],.]] [1,1,0,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],.]],[.,[.,.]]] [1,1,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[.,.],.],.]],.],.] [1,1,0,1,0,1,0,0,1,1,0,0] => [[.,[[[.,.],.],.]],[.,.]] [1,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[.,.],.],.],.]],.] [1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[[[[.,.],.],.],.],.]] [1,1,0,1,0,1,0,1,1,0,0,0] => [.,[[[[.,.],.],.],[.,.]]] [1,1,0,1,0,1,1,0,0,0,1,0] => [[.,[[[.,.],.],[.,.]]],.] [1,1,0,1,0,1,1,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] [1,1,0,1,0,1,1,0,1,0,0,0] => [.,[[[.,.],.],[[.,.],.]]] [1,1,0,1,0,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,[.,.]]]] [1,1,0,1,1,0,0,0,1,0,1,0] => [[[.,[[.,.],[.,.]]],.],.] [1,1,0,1,1,0,0,0,1,1,0,0] => [[.,[[.,.],[.,.]]],[.,.]] [1,1,0,1,1,0,0,1,0,0,1,0] => [[.,[[[.,.],[.,.]],.]],.] [1,1,0,1,1,0,0,1,0,1,0,0] => [.,[[[[.,.],[.,.]],.],.]] [1,1,0,1,1,0,0,1,1,0,0,0] => [.,[[[.,.],[.,.]],[.,.]]] [1,1,0,1,1,0,1,0,0,0,1,0] => [[.,[[.,.],[[.,.],.]]],.] [1,1,0,1,1,0,1,0,0,1,0,0] => [.,[[[.,.],[[.,.],.]],.]] [1,1,0,1,1,0,1,0,1,0,0,0] => [.,[[.,.],[[[.,.],.],.]]] [1,1,0,1,1,0,1,1,0,0,0,0] => [.,[[.,.],[[.,.],[.,.]]]] [1,1,0,1,1,1,0,0,0,0,1,0] => [[.,[[.,.],[.,[.,.]]]],.] [1,1,0,1,1,1,0,0,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] [1,1,0,1,1,1,0,0,1,0,0,0] => [.,[[.,.],[[.,[.,.]],.]]] [1,1,0,1,1,1,0,1,0,0,0,0] => [.,[[.,.],[.,[[.,.],.]]]] [1,1,0,1,1,1,1,0,0,0,0,0] => [.,[[.,.],[.,[.,[.,.]]]]] [1,1,1,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,.]]],.],.],.] [1,1,1,0,0,0,1,0,1,1,0,0] => [[[.,[.,[.,.]]],.],[.,.]] [1,1,1,0,0,0,1,1,0,0,1,0] => [[[.,[.,[.,.]]],[.,.]],.] [1,1,1,0,0,0,1,1,0,1,0,0] => [[.,[.,[.,.]]],[[.,.],.]] [1,1,1,0,0,0,1,1,1,0,0,0] => [[.,[.,[.,.]]],[.,[.,.]]] [1,1,1,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[.,.]],.]],.],.] [1,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[.,.]],.]],[.,.]] [1,1,1,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[.,.]],.],.]],.] [1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[[.,[.,.]],.],.],.]] [1,1,1,0,0,1,0,1,1,0,0,0] => [.,[[[.,[.,.]],.],[.,.]]] [1,1,1,0,0,1,1,0,0,0,1,0] => [[.,[[.,[.,.]],[.,.]]],.] [1,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] [1,1,1,0,0,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[[.,.],.]]] [1,1,1,0,0,1,1,1,0,0,0,0] => [.,[[.,[.,.]],[.,[.,.]]]] [1,1,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,[[.,.],.]]],.],.] [1,1,1,0,1,0,0,0,1,1,0,0] => [[.,[.,[[.,.],.]]],[.,.]] [1,1,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[.,.],.]],.]],.] [1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[[.,.],.]],.],.]] [1,1,1,0,1,0,0,1,1,0,0,0] => [.,[[.,[[.,.],.]],[.,.]]] [1,1,1,0,1,0,1,0,0,0,1,0] => [[.,[.,[[[.,.],.],.]]],.] [1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[.,[[[.,.],.],.]],.]] [1,1,1,0,1,0,1,0,1,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] [1,1,1,0,1,0,1,1,0,0,0,0] => [.,[.,[[[.,.],.],[.,.]]]] [1,1,1,0,1,1,0,0,0,0,1,0] => [[.,[.,[[.,.],[.,.]]]],.] [1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[.,[[.,.],[.,.]]],.]] [1,1,1,0,1,1,0,0,1,0,0,0] => [.,[.,[[[.,.],[.,.]],.]]] [1,1,1,0,1,1,0,1,0,0,0,0] => [.,[.,[[.,.],[[.,.],.]]]] [1,1,1,0,1,1,1,0,0,0,0,0] => [.,[.,[[.,.],[.,[.,.]]]]] [1,1,1,1,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,.]]]],.],.] [1,1,1,1,0,0,0,0,1,1,0,0] => [[.,[.,[.,[.,.]]]],[.,.]] [1,1,1,1,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[.,.]]],.]],.] [1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[.,[.,[.,.]]],.],.]] [1,1,1,1,0,0,0,1,1,0,0,0] => [.,[[.,[.,[.,.]]],[.,.]]] [1,1,1,1,0,0,1,0,0,0,1,0] => [[.,[.,[[.,[.,.]],.]]],.] [1,1,1,1,0,0,1,0,0,1,0,0] => [.,[[.,[[.,[.,.]],.]],.]] [1,1,1,1,0,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] [1,1,1,1,0,0,1,1,0,0,0,0] => [.,[.,[[.,[.,.]],[.,.]]]] [1,1,1,1,0,1,0,0,0,0,1,0] => [[.,[.,[.,[[.,.],.]]]],.] [1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[.,[.,[[.,.],.]]],.]] [1,1,1,1,0,1,0,0,1,0,0,0] => [.,[.,[[.,[[.,.],.]],.]]] [1,1,1,1,0,1,0,1,0,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] [1,1,1,1,0,1,1,0,0,0,0,0] => [.,[.,[.,[[.,.],[.,.]]]]] [1,1,1,1,1,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],.] [1,1,1,1,1,0,0,0,0,1,0,0] => [.,[[.,[.,[.,[.,.]]]],.]] [1,1,1,1,1,0,0,0,1,0,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] [1,1,1,1,1,0,0,1,0,0,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] [1,1,1,1,1,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] [1,1,1,1,1,1,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,.]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[.,.],.],.],.],.],.],.] [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[[.,.],.],.],.],.],[.,.]] [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[[[[.,.],.],.],.],[.,.]],.] [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[[[[.,.],.],.],.],[[.,.],.]] [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[[[[.,.],.],.],.],[.,[.,.]]] [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[[[[[.,.],.],.],[.,.]],.],.] [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[[[[.,.],.],.],[.,.]],[.,.]] [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[[[[.,.],.],.],[[.,.],.]],.] [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[[[.,.],.],.],[[[.,.],.],.]] [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[[[.,.],.],.],[[.,.],[.,.]]] [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[[[[.,.],.],.],[.,[.,.]]],.] [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[[[.,.],.],.],[[.,[.,.]],.]] [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[[[.,.],.],.],[.,[[.,.],.]]] [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[[[.,.],.],.],[.,[.,[.,.]]]] [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[[[[[.,.],.],[.,.]],.],.],.] [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[[[[.,.],.],[.,.]],.],[.,.]] [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[[[[.,.],.],[.,.]],[.,.]],.] [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[[[.,.],.],[.,.]],[[.,.],.]] [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[[[.,.],.],[.,.]],[.,[.,.]]] [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[[[[.,.],.],[[.,.],.]],.],.] [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[[[.,.],.],[[.,.],.]],[.,.]] [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[[[.,.],.],[[[.,.],.],.]],.] [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[[.,.],.],[[[[.,.],.],.],.]] [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[[.,.],.],[[[.,.],.],[.,.]]] [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[[[.,.],.],[[.,.],[.,.]]],.] [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[[.,.],.],[[[.,.],[.,.]],.]] [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[[.,.],.],[[.,.],[[.,.],.]]] [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[[.,.],.],[[.,.],[.,[.,.]]]] [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[[[[.,.],.],[.,[.,.]]],.],.] [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[[[.,.],.],[.,[.,.]]],[.,.]] [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[[[.,.],.],[[.,[.,.]],.]],.] [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[[.,.],.],[[[.,[.,.]],.],.]] [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[[.,.],.],[[.,[.,.]],[.,.]]] [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[[[.,.],.],[.,[[.,.],.]]],.] [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[[.,.],.],[[.,[[.,.],.]],.]] [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[[.,.],.],[.,[[[.,.],.],.]]] [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[[.,.],.],[.,[[.,.],[.,.]]]] [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,[.,[.,.]]],.]] [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[[.,.],.],[.,[[.,[.,.]],.]]] [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[[.,.],.],[.,[.,[[.,.],.]]]] [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[[.,.],.],[.,[.,[.,[.,.]]]]] [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],[.,.]],.],.],.],.] [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[[[[.,.],[.,.]],.],.],[.,.]] [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[[[[.,.],[.,.]],.],[.,.]],.] [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[[[.,.],[.,.]],.],[[.,.],.]] [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[[[.,.],[.,.]],.],[.,[.,.]]] [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[[[[.,.],[.,.]],[.,.]],.],.] [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[.,.],[.,.]],[.,.]],[.,.]] [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[[[.,.],[.,.]],[[.,.],.]],.] [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[[.,.],[.,.]],[[[.,.],.],.]] [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[.,.],[.,.]],[[.,.],[.,.]]] [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[[[.,.],[.,.]],[.,[.,.]]],.] [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],[[.,[.,.]],.]] [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[[.,.],[.,.]],[.,[[.,.],.]]] [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[[.,.],[.,.]],[.,[.,[.,.]]]] [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[[[[.,.],[[.,.],.]],.],.],.] [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[[[.,.],[[.,.],.]],.],[.,.]] [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[[[.,.],[[.,.],.]],[.,.]],.] [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[[.,.],[[.,.],.]],[[.,.],.]] [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[[.,.],[[.,.],.]],[.,[.,.]]] [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[[[.,.],[[[.,.],.],.]],.],.] [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[[.,.],[[[.,.],.],.]],[.,.]] [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[[.,.],[[[[.,.],.],.],.]],.] [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[.,.],[[[[[.,.],.],.],.],.]] [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[.,.],[[[[.,.],.],.],[.,.]]] [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[[.,.],[[[.,.],.],[.,.]]],.] [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[.,.],[[[[.,.],.],[.,.]],.]] [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[.,.],[[[.,.],.],[[.,.],.]]] [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[.,.],[[[.,.],.],[.,[.,.]]]] [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[[[.,.],[[.,.],[.,.]]],.],.] [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[[.,.],[[.,.],[.,.]]],[.,.]] [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[[.,.],[[[.,.],[.,.]],.]],.] [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[.,.],[[[[.,.],[.,.]],.],.]] [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[.,.],[[[.,.],[.,.]],[.,.]]] [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[[.,.],[[.,.],[[.,.],.]]],.] [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[.,.],[[[.,.],[[.,.],.]],.]] [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[.,.],[[.,.],[[[.,.],.],.]]] [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[.,.],[[.,.],[[.,.],[.,.]]]] [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[[.,.],[[.,.],[.,[.,.]]]],.] [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[.,.],[[[.,.],[.,[.,.]]],.]] [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[.,.],[[.,.],[[.,[.,.]],.]]] [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[.,.],[[.,.],[.,[[.,.],.]]]] [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[.,.],[[.,.],[.,[.,[.,.]]]]] [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[[[[.,.],[.,[.,.]]],.],.],.] [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[[[.,.],[.,[.,.]]],.],[.,.]] [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[[[.,.],[.,[.,.]]],[.,.]],.] [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[[.,.],[.,[.,.]]],[[.,.],.]] [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[[.,.],[.,[.,.]]],[.,[.,.]]] [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[[[.,.],[[.,[.,.]],.]],.],.] [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[[.,[.,.]],.]],[.,.]] [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[[.,.],[[[.,[.,.]],.],.]],.] [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[.,.],[[[[.,[.,.]],.],.],.]] [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[.,.],[[[.,[.,.]],.],[.,.]]] [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[[.,.],[[.,[.,.]],[.,.]]],.] [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[[.,[.,.]],[.,.]],.]] [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[.,.],[[.,[.,.]],[[.,.],.]]] [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[.,.],[[.,[.,.]],[.,[.,.]]]] [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[[[.,.],[.,[[.,.],.]]],.],.] [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[[.,.],[.,[[.,.],.]]],[.,.]] [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[[.,.],[[.,[[.,.],.]],.]],.] [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[.,.],[[[.,[[.,.],.]],.],.]] [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[.,.],[[.,[[.,.],.]],[.,.]]] [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[[.,.],[.,[[[.,.],.],.]]],.] [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[.,.],[[.,[[[.,.],.],.]],.]] [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[.,.],[.,[[[[.,.],.],.],.]]] [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[.,.],[.,[[[.,.],.],[.,.]]]] [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[[.,.],[.,[[.,.],[.,.]]]],.] [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[.,.],[[.,[[.,.],[.,.]]],.]] [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[.,.],[.,[[[.,.],[.,.]],.]]] [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[.,.],[.,[[.,.],[[.,.],.]]]] [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[.,.],[.,[[.,.],[.,[.,.]]]]] [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[[[.,.],[.,[.,[.,.]]]],.],.] [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[[.,.],[.,[.,[.,.]]]],[.,.]] [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[[.,.],[[.,[.,[.,.]]],.]],.] [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[.,.],[[[.,[.,[.,.]]],.],.]] [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[.,.],[[.,[.,[.,.]]],[.,.]]] [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[[.,.],[.,[[.,[.,.]],.]]],.] [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[.,.],[[.,[[.,[.,.]],.]],.]] [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[.,.],[.,[[[.,[.,.]],.],.]]] [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[.,.],[.,[[.,[.,.]],[.,.]]]] [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[[.,.],[.,[.,[[.,.],.]]]],.] [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[.,.],[[.,[.,[[.,.],.]]],.]] [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[.,.],[.,[[.,[[.,.],.]],.]]] [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[.,.],[.,[.,[[[.,.],.],.]]]] [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[.,.],[.,[.,[[.,.],[.,.]]]]] [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[.,.],[[.,[.,[.,[.,.]]]],.]] [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[.,.],[.,[[.,[.,[.,.]]],.]]] [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[.,.],[.,[.,[[.,[.,.]],.]]]] [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[.,.],[.,[.,[.,[[.,.],.]]]]] [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,[.,.]],.],.],.],.],.] [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[[[[.,[.,.]],.],.],.],[.,.]] [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[[[[.,[.,.]],.],.],[.,.]],.] [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[[[.,[.,.]],.],.],[[.,.],.]] [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[[[.,[.,.]],.],.],[.,[.,.]]] [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[[[[.,[.,.]],.],[.,.]],.],.] [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[[[.,[.,.]],.],[.,.]],[.,.]] [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[[[.,[.,.]],.],[[.,.],.]],.] [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[[.,[.,.]],.],[[[.,.],.],.]] [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[[.,[.,.]],.],[[.,.],[.,.]]] [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[[.,[.,.]],.],[[.,[.,.]],.]] [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],[.,[[.,.],.]]] [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[[.,[.,.]],.],[.,[.,[.,.]]]] [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[[[[.,[.,.]],[.,.]],.],.],.] [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[[[.,[.,.]],[.,.]],.],[.,.]] [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[[.,[.,.]],[.,.]],[.,.]],.] [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[.,.]],[[.,.],.]] [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[[.,[.,.]],[.,.]],[.,[.,.]]] [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[[[.,[.,.]],[[.,.],.]],.],.] [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[[.,[.,.]],[[.,.],.]],[.,.]] [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[[.,[.,.]],[[[.,.],.],.]],.] [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[.,[.,.]],[[[[.,.],.],.],.]] [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[.,[.,.]],[[[.,.],.],[.,.]]] [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[.,[.,.]],[[.,.],[.,.]]],.] [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[.,[.,.]],[[[.,.],[.,.]],.]] [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[.,[.,.]],[[.,.],[[.,.],.]]] [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[[[.,[.,.]],[.,[.,.]]],.],.] [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[[.,[.,.]],[.,[.,.]]],[.,.]] [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[[.,[.,.]],[[.,[.,.]],.]],.] [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[.,[.,.]],[[[.,[.,.]],.],.]] [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[.,[.,.]],[[.,[.,.]],[.,.]]] [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[[.,[.,.]],[.,[[.,.],.]]],.] [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,[[.,.],.]],.]] [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[.,[.,.]],[.,[[[.,.],.],.]]] [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[[.,[.,.]],[.,[.,[.,.]]]],.] [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[.,[.,.]],[[.,[.,[.,.]]],.]] [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[.,[.,.]],[.,[[.,[.,.]],.]]] [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[.,[.,.]],[.,[.,[[.,.],.]]]] [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[[.,.],.]],.],.],.],.] [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[[[.,[[.,.],.]],.],.],[.,.]] [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[[[.,[[.,.],.]],.],[.,.]],.] [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[[.,[[.,.],.]],.],[[.,.],.]] [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[[.,[[.,.],.]],.],[.,[.,.]]] [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[[[.,[[.,.],.]],[.,.]],.],.] [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[[.,.],.]],[.,.]],[.,.]] [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[[.,[[.,.],.]],[[.,.],.]],.] [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[.,[[.,.],.]],[[[.,.],.],.]] [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[.,[[.,.],.]],[[.,.],[.,.]]] [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[.,[[.,.],.]],[[.,[.,.]],.]] [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[.,[[.,.],.]],[.,[[.,.],.]]] [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,[.,[.,.]]]] [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[[.,.],.],.]],.],.],.] [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[[.,[[[.,.],.],.]],.],[.,.]] [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[[.,[[[.,.],.],.]],[.,.]],.] [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[.,[[[.,.],.],.]],[[.,.],.]] [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[.,[[[.,.],.],.]],[.,[.,.]]] [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[[.,.],.],.],.]],.],.] [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[.,[[[[.,.],.],.],.]],[.,.]] [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[[.,.],.],.],.],.]],.] [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[[[[[[.,.],.],.],.],.],.]] [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [.,[[[[[.,.],.],.],.],[.,.]]] [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[.,[[[[.,.],.],.],[.,.]]],.] [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [.,[[[[[.,.],.],.],[.,.]],.]] [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [.,[[[[.,.],.],.],[[.,.],.]]] [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],[.,[.,.]]]] [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[[.,[[[.,.],.],[.,.]]],.],.] [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[.,[[[.,.],.],[.,.]]],[.,.]] [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[.,[[[[.,.],.],[.,.]],.]],.] [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [.,[[[[[.,.],.],[.,.]],.],.]] [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [.,[[[[.,.],.],[.,.]],[.,.]]] [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[.,[[[.,.],.],[[.,.],.]]],.] [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [.,[[[[.,.],.],[[.,.],.]],.]] [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [.,[[[.,.],.],[[[.,.],.],.]]] [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [.,[[[.,.],.],[[.,.],[.,.]]]] [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[.,[[[.,.],.],[.,[.,.]]]],.] [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [.,[[[.,.],.],[[.,[.,.]],.]]] [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [.,[[[.,.],.],[.,[[.,.],.]]]] [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [.,[[[.,.],.],[.,[.,[.,.]]]]] [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[[[.,[[.,.],[.,.]]],.],.],.] [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[[.,[[.,.],[.,.]]],.],[.,.]] [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[[.,[[.,.],[.,.]]],[.,.]],.] [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[.,[[.,.],[.,.]]],[[.,.],.]] [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[.,[[.,.],[.,.]]],[.,[.,.]]] [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[[.,[[[.,.],[.,.]],.]],.],.] [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[[.,.],[.,.]],.]],[.,.]] [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[.,[[[[.,.],[.,.]],.],.]],.] [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [.,[[[[.,.],[.,.]],.],[.,.]]] [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[.,[[[.,.],[.,.]],[.,.]]],.] [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[[.,.],[.,.]],[.,.]],.]] [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [.,[[[.,.],[.,.]],[[.,.],.]]] [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [.,[[[.,.],[.,.]],[.,[.,.]]]] [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[[.,[[.,.],[[.,.],.]]],.],.] [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[.,[[.,.],[[.,.],.]]],[.,.]] [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[.,[[[.,.],[[.,.],.]],.]],.] [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[[.,.],[[.,.],.]],.],.]] [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [.,[[[.,.],[[.,.],.]],[.,.]]] [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[.,[[.,.],[[[.,.],.],.]]],.] [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,.],[[[.,.],.],.]],.]] [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [.,[[.,.],[[[[.,.],.],.],.]]] [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [.,[[.,.],[[[.,.],.],[.,.]]]] [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[.,[[.,.],[[.,.],[.,.]]]],.] [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,.],[[.,.],[.,.]]],.]] [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [.,[[.,.],[[[.,.],[.,.]],.]]] [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [.,[[.,.],[[.,.],[[.,.],.]]]] [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [.,[[.,.],[[.,.],[.,[.,.]]]]] [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[[.,[[.,.],[.,[.,.]]]],.],.] [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[.,[[.,.],[.,[.,.]]]],[.,.]] [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[.,[[[.,.],[.,[.,.]]],.]],.] [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],[.,[.,.]]],.],.]] [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [.,[[[.,.],[.,[.,.]]],[.,.]]] [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[.,[[.,.],[[.,[.,.]],.]]],.] [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [.,[[[.,.],[[.,[.,.]],.]],.]] [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [.,[[.,.],[[[.,[.,.]],.],.]]] [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [.,[[.,.],[[.,[.,.]],[.,.]]]] [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[.,[[.,.],[.,[[.,.],.]]]],.] [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[.,.],[.,[[.,.],.]]],.]] [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [.,[[.,.],[[.,[[.,.],.]],.]]] [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [.,[[.,.],[.,[[[.,.],.],.]]]] [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [.,[[.,.],[.,[[.,.],[.,.]]]]] [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[.,[[.,.],[.,[.,[.,.]]]]],.] [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [.,[[.,.],[[.,[.,[.,.]]],.]]] [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [.,[[.,.],[.,[[.,[.,.]],.]]]] [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [.,[[.,.],[.,[.,[[.,.],.]]]]] [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,[.,.]]],.],.],.],.] [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[[[.,[.,[.,.]]],.],.],[.,.]] [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[[[.,[.,[.,.]]],.],[.,.]],.] [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[[.,[.,[.,.]]],.],[[.,.],.]] [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[[.,[.,[.,.]]],.],[.,[.,.]]] [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[[[.,[.,[.,.]]],[.,.]],.],.] [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[.,[.,[.,.]]],[.,.]],[.,.]] [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[[.,[.,[.,.]]],[[.,.],.]],.] [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[.,[.,[.,.]]],[[[.,.],.],.]] [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[.,[.,[.,.]]],[[.,.],[.,.]]] [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[.,[.,[.,.]]],[[.,[.,.]],.]] [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,[[.,.],.]]] [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[.,[.,.]],.]],.],.],.] [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[[.,[[.,[.,.]],.]],.],[.,.]] [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[.,[[.,[.,.]],.]],[.,.]],.] [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[.,[[.,[.,.]],.]],[[.,.],.]] [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[.,[[.,[.,.]],.]],[.,[.,.]]] [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[.,[.,.]],.],.]],.],.] [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[.,[[[.,[.,.]],.],.]],[.,.]] [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[.,[.,.]],.],.],.]],.] [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [.,[[[[[.,[.,.]],.],.],.],.]] [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [.,[[[[.,[.,.]],.],.],[.,.]]] [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[.,[[[.,[.,.]],.],[.,.]]],.] [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],[[.,.],.]]] [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [.,[[[.,[.,.]],.],[.,[.,.]]]] [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[[.,[[.,[.,.]],[.,.]]],.],.] [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[.,[[.,[.,.]],[.,.]]],[.,.]] [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[.,[[[.,[.,.]],[.,.]],.]],.] [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [.,[[[[.,[.,.]],[.,.]],.],.]] [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [.,[[[.,[.,.]],[.,.]],[.,.]]] [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[.,[[.,[.,.]],[[.,.],.]]],.] [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[[.,.],.]],.]] [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [.,[[.,[.,.]],[[[.,.],.],.]]] [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [.,[[.,[.,.]],[[.,.],[.,.]]]] [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[.,[[.,[.,.]],[.,[.,.]]]],.] [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [.,[[.,[.,.]],[[.,[.,.]],.]]] [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [.,[[.,[.,.]],[.,[[.,.],.]]]] [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[[.,.],.]]],.],.],.] [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[[.,[.,[[.,.],.]]],.],[.,.]] [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[[.,[.,[[.,.],.]]],[.,.]],.] [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[.,[.,[[.,.],.]]],[[.,.],.]] [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[.,[.,[[.,.],.]]],[.,[.,.]]] [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[[.,.],.]],.]],.],.] [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[[.,.],.]],.]],[.,.]] [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[[.,.],.]],.],.]],.] [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [.,[[[[.,[[.,.],.]],.],.],.]] [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [.,[[[.,[[.,.],.]],.],[.,.]]] [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[.,[[.,[[.,.],.]],[.,.]]],.] [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [.,[[.,[[.,.],.]],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [.,[[.,[[.,.],.]],[.,[.,.]]]] [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,[[[.,.],.],.]]],.],.] [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[.,[.,[[[.,.],.],.]]],[.,.]] [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[[.,.],.],.]],.]],.] [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [.,[[.,[[[.,.],.],.]],[.,.]]] [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[.,[.,[[[[.,.],.],.],.]]],.] [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [.,[[.,[[[[.,.],.],.],.]],.]] [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [.,[.,[[[[[.,.],.],.],.],.]]] [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],[.,.]]]] [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[.,[.,[[[.,.],.],[.,.]]]],.] [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [.,[[.,[[[.,.],.],[.,.]]],.]] [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [.,[.,[[[.,.],.],[[.,.],.]]]] [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [.,[.,[[[.,.],.],[.,[.,.]]]]] [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[[.,[.,[[.,.],[.,.]]]],.],.] [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[.,[.,[[.,.],[.,.]]]],[.,.]] [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[.,[[.,[[.,.],[.,.]]],.]],.] [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [.,[[[.,[[.,.],[.,.]]],.],.]] [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [.,[[.,[[.,.],[.,.]]],[.,.]]] [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[.,[.,[[[.,.],[.,.]],.]]],.] [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[.,.],[.,.]],.]],.]] [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [.,[.,[[[[.,.],[.,.]],.],.]]] [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [.,[.,[[[.,.],[.,.]],[.,.]]]] [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[.,[.,[[.,.],[[.,.],.]]]],.] [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[.,[[.,.],[[.,.],.]]],.]] [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [.,[.,[[[.,.],[[.,.],.]],.]]] [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [.,[.,[[.,.],[[[.,.],.],.]]]] [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [.,[.,[[.,.],[[.,.],[.,.]]]]] [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[.,[.,[[.,.],[.,[.,.]]]]],.] [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [.,[[.,[[.,.],[.,[.,.]]]],.]] [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [.,[.,[[.,.],[[.,[.,.]],.]]]] [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [.,[.,[[.,.],[.,[[.,.],.]]]]] [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,[.,.]]]],.],.],.] [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[[.,[.,[.,[.,.]]]],.],[.,.]] [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[[.,[.,[.,[.,.]]]],[.,.]],.] [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[.,[.,[.,[.,.]]]],[[.,.],.]] [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[.,[[.,[.,[.,.]]],.]],[.,.]] [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[.,[.,.]]],.],.]],.] [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [.,[[[[.,[.,[.,.]]],.],.],.]] [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],[.,.]]] [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[.,[[.,[.,[.,.]]],[.,.]]],.] [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [.,[[.,[.,[.,.]]],[[.,.],.]]] [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[.,[.,[[.,[.,.]],.]]],[.,.]] [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[.,[.,.]],.]],.]],.] [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],.],.]] [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [.,[[.,[[.,[.,.]],.]],[.,.]]] [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[.,[.,[[[.,[.,.]],.],.]]],.] [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [.,[[.,[[[.,[.,.]],.],.]],.]] [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[.,.]],.],[.,.]]]] [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[.,[.,[[.,[.,.]],[.,.]]]],.] [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [.,[[.,[[.,[.,.]],[.,.]]],.]] [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [.,[.,[[.,[.,.]],[[.,.],.]]]] [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[.,[.,[.,[[.,.],.]]]],[.,.]] [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[[.,.],.]]],.]],.] [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [.,[[[.,[.,[[.,.],.]]],.],.]] [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [.,[[.,[.,[[.,.],.]]],[.,.]]] [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[.,[.,[[.,[[.,.],.]],.]]],.] [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[[.,[[.,.],.]],.]],.]] [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [.,[.,[[.,[[.,.],.]],[.,.]]]] [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[.,[.,[.,[[[.,.],.],.]]]],.] [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [.,[[.,[.,[[[.,.],.],.]]],.]] [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [.,[.,[[.,[[[.,.],.],.]],.]]] [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [.,[.,[.,[[[.,.],.],[.,.]]]]] [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[.,[.,[.,[[.,.],[.,.]]]]],.] [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [.,[[.,[.,[[.,.],[.,.]]]],.]] [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [.,[.,[[.,[[.,.],[.,.]]],.]]] [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [.,[.,[.,[[.,.],[[.,.],.]]]]] [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[.,[.,.]]]],.]],.] [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[.,[.,[[.,[.,[.,.]]],.]]],.] [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [.,[[.,[[.,[.,[.,.]]],.]],.]] [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[.,[.,[.,[[.,[.,.]],.]]]],.] [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [.,[[.,[.,[[.,[.,.]],.]]],.]] [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [.,[.,[[.,[[.,[.,.]],.]],.]]] [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[[.,.],.]]]]],.] [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [.,[[.,[.,[.,[[.,.],.]]]],.]] [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [.,[.,[[.,[.,[[.,.],.]]],.]]] [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [.,[.,[.,[[.,[[.,.],.]],.]]]] [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[[.,.],.],.],.],.],.],.],.] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[[[.,.],.],.],.],.],.],[.,.]] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[[[[[.,.],.],.],.],.],[.,.]],.] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[[[[[.,.],.],.],.],.],[[.,.],.]] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[[[[[[.,.],.],.],.],[.,.]],.],.] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[[[[[.,.],.],.],.],[[.,.],.]],.] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[[[[.,.],.],.],.],[[[.,.],.],.]] [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[[[[[[.,.],.],.],[.,.]],.],.],.] [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[[[[[.,.],.],.],[[.,.],.]],.],.] [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[[[[.,.],.],.],[[[.,.],.],.]],.] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[[[.,.],.],.],[[[[.,.],.],.],.]] [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[[[[[.,.],.],.],[.,[.,.]]],.],.] [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[[[[.,.],.],.],[.,[[.,.],.]]],.] [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[[[.,.],.],[.,.]],.],.],.],.] [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[[[[.,.],.],[.,.]],[.,[.,.]]],.] [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[[[[[.,.],.],[[.,.],.]],.],.],.] [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[[[[.,.],.],[[[.,.],.],.]],.],.] [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[[[.,.],.],[[[[.,.],.],.],.]],.] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[[.,.],.],[[[[[.,.],.],.],.],.]] [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[[[.,.],.],[[[.,.],.],[.,.]]],.] [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[[.,.],.],[[[[.,.],.],[.,.]],.]] [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[[[.,.],.],[[.,.],[.,.]]],[.,.]] [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[[[.,.],.],[[[.,.],[.,.]],.]],.] [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[[.,.],.],[[[[.,.],[.,.]],.],.]] [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[[.,.],.],[[[.,.],[.,.]],[.,.]]] [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[[.,.],.],[[[.,.],[[.,.],.]],.]] [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[[[.,.],.],[[.,.],[.,[.,.]]]],.] [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[[.,.],.],[[.,.],[[.,[.,.]],.]]] [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[[.,.],.],[[.,.],[.,[[.,.],.]]]] [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[[[[.,.],.],[.,[.,.]]],[.,.]],.] [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[[[[.,.],.],[[.,[.,.]],.]],.],.] [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[[.,.],.],[[.,[.,.]],.]],[.,.]] [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[[[.,.],.],[[.,[.,.]],[.,.]]],.] [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[[[[.,.],.],[.,[[.,.],.]]],.],.] [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[[[.,.],.],[.,[[.,.],.]]],[.,.]] [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,.],.],[[[.,[[.,.],.]],.],.]] [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,.],.],[.,[[.,.],[[.,.],.]]]] [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[[.,.],.],[.,[[.,.],[.,[.,.]]]]] [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]] [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[[[.,.],.],[[.,[.,[.,.]]],.]],.] [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[[[.,.],.],[.,[[.,[.,.]],.]]],.] [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[.,.],.],[[.,[[.,[.,.]],.]],.]] [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]] [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.] [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[[.,.],.],[[.,[.,[[.,.],.]]],.]] [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[[.,.],.],[.,[.,[[.,.],[.,.]]]]] [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[.,.],[.,.]],.],.],.],.],.] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[[[[.,.],[.,.]],.],[[.,.],.]],.] [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[[[[.,.],[.,.]],[.,.]],.],[.,.]] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[[[[.,.],[.,.]],[.,[.,.]]],.],.] [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[[.,.],[.,.]],[.,[.,[[.,.],.]]]] [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],[[.,.],.]],.],.],.],.] [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[[[[.,.],[[.,.],.]],[.,.]],.],.] [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[[[.,.],[[.,.],.]],[.,[.,.]]],.] [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[[[[.,.],[[[.,.],.],.]],.],.],.] [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[[.,.],[[[[.,.],.],.],.]],.],.] [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[.,.],[[[[[.,.],.],.],.],.]],.] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,.],[[[[[[.,.],.],.],.],.],.]] [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[[[.,.],[[[.,.],.],[.,.]]],.],.] [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[[.,.],[[[.,.],.],[.,.]]],[.,.]] [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[[.,.],[[[.,.],.],[.,[.,.]]]],.] [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[[[[.,.],[[.,.],[.,.]]],.],.],.] [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[[.,.],[[.,.],[.,.]]],[.,[.,.]]] [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[[[.,.],[[[.,.],[.,.]],.]],.],.] [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[[[.,.],[.,.]],.]],[.,.]] [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[[.,.],[[[[.,.],[.,.]],.],.]],.] [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[[.,.],[[.,.],[[.,.],.]]],[.,.]] [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[[[.,.],[[.,.],[.,[.,.]]]],.],.] [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[[[[.,.],[.,[.,.]]],[.,.]],.],.] [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[[[[.,.],[[.,[.,.]],.]],.],.],.] [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[[[.,.],[[.,[.,.]],.]],.],[.,.]] [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[[[.,.],[[[.,[.,.]],.],.]],.],.] [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[[.,.],[[[[.,[.,.]],.],.],.]],.] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[[.,.],[[.,[.,.]],[.,.]]],[.,.]] [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[[.,.],[[.,[.,.]],[.,[.,.]]]],.] [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[[[[.,.],[.,[[.,.],.]]],.],.],.] [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[[[.,.],[[.,[[.,.],.]],.]],.],.] [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[[.,[[.,.],.]],.]],[.,.]] [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[[.,.],[[[.,[[.,.],.]],.],.]],.] [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[[.,.],[[.,[[.,.],.]],[.,.]]],.] [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[[[.,.],[.,[[[.,.],.],.]]],.],.] [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[[.,.],[.,[[[.,.],.],.]]],[.,.]] [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[[.,.],[[.,[[[.,.],.],.]],.]],.] [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[.,.],[[[.,[[[.,.],.],.]],.],.]] [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[[.,.],[.,[[[[.,.],.],.],.]]],.] [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[[.,.],[.,[[[.,.],.],[.,.]]]],.] [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[[[.,.],[.,[[.,.],[.,.]]]],.],.] [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[[.,.],[[.,[[.,.],[.,.]]],.]],.] [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.] [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[.,.],[.,[[[[.,.],[.,.]],.],.]]] [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.] [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[[[.,.],[.,[.,[.,.]]]],.],[.,.]] [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.] [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[[.,.],[[.,[.,[.,.]]],.]],[.,.]] [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[[.,.],[[[.,[.,[.,.]]],.],.]],.] [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[[.,.],[[.,[.,[.,.]]],[.,.]]],.] [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[[[.,.],[.,[[.,[.,.]],.]]],.],.] [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.] [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[[.,.],[.,[[[.,[.,.]],.],.]]],.] [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]] [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.] [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.] [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[[.,.],[[.,[.,[[.,.],.]]],.]],.] [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[.,.],[[[.,[.,[[.,.],.]]],.],.]] [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.] [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[.,.],[.,[[[.,[[.,.],.]],.],.]]] [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[[.,.],[.,[.,[[[.,.],.],.]]]],.] [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[.,.],[[.,[.,[[[.,.],.],.]]],.]] [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[.,.],[.,[[.,[[[.,.],.],.]],.]]] [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[[.,.],[.,[.,[[.,.],[.,.]]]]],.] [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[.,.],[[.,[.,[[.,.],[.,.]]]],.]] [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[[.,.],[[.,[.,[.,[.,.]]]],.]],.] [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[[.,.],[.,[[.,[.,[.,.]]],.]]],.] [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[.,.],[[.,[[.,[.,[.,.]]],.]],.]] [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[[.,.],[.,[.,[[.,[.,.]],.]]]],.] [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[.,.],[.,[[.,[[.,[.,.]],.]],.]]] [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.] [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[.,.],[.,[[.,[.,[[.,.],.]]],.]]] [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[.,[.,.]],.],.],.],.],.],.] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[[[[.,[.,.]],.],.],[[.,.],.]],.] [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[[[.,[.,.]],.],.],[[.,.],[.,.]]] [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[[[[.,[.,.]],.],.],[.,[.,.]]],.] [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[[[[[.,[.,.]],.],[.,.]],.],.],.] [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[[[[.,[.,.]],.],[.,.]],[.,.]],.] [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[[[[.,[.,.]],.],[[.,.],.]],.],.] [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[[[.,[.,.]],.],[[[.,.],.],.]],.] [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[[.,[.,.]],.],[[[.,.],.],[.,.]]] [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[[[.,[.,.]],.],[[.,.],[.,.]]],.] [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[[.,[.,.]],.],[[[.,.],[.,.]],.]] [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[[.,[.,.]],.],[[.,.],[.,[.,.]]]] [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[[[[.,[.,.]],.],[.,[.,.]]],.],.] [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],[.,.]] [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[[[.,[.,.]],.],[[.,[.,.]],.]],.] [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],.],[[.,[[.,.],.]],.]] [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[[.,[.,.]],.],[.,[[[.,.],.],.]]] [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[[[.,[.,.]],.],[.,[.,[.,.]]]],.] [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[[.,[.,.]],.],[[.,[.,[.,.]]],.]] [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,[[.,[.,.]],.]]] [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[[[[.,[.,.]],[.,.]],.],[.,.]],.] [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[[[.,[.,.]],[.,.]],[[.,.],.]],.] [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[[[.,[.,.]],[.,.]],[.,[.,.]]],.] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[[[[.,[.,.]],[[.,.],.]],.],.],.] [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[[[.,[.,.]],[[.,.],.]],[.,.]],.] [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[[.,.],.]],[[.,.],.]] [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[[[.,[.,.]],[[[.,.],.],.]],.],.] [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[[.,[.,.]],[[[.,.],.],[.,.]]],.] [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[.,[.,.]],[[[[.,.],.],[.,.]],.]] [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[[.,[.,.]],[[[.,.],[.,.]],.]],.] [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[.,[.,.]],[[[[.,.],[.,.]],.],.]] [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[[.,[.,.]],[[.,.],[.,[.,.]]]],.] [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[.,[.,.]],[[.,.],[[.,[.,.]],.]]] [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[[[.,[.,.]],[.,[.,.]]],.],[.,.]] [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],[[.,.],.]] [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[[[.,[.,.]],[[.,[.,.]],.]],.],.] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[[.,[.,.]],[[[.,[.,.]],.],.]],.] [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[[.,[.,.]],[[.,[.,.]],[.,.]]],.] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[[.,[.,.]],[[.,[[.,.],.]],.]],.] [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.] [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[[.,[.,.]],[.,[[.,.],[.,.]]]],.] [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[[[.,[.,.]],[.,[.,[.,.]]]],.],.] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[[.,[.,.]],[[.,[.,[.,.]]],.]],.] [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[.,[.,.]],[[[.,[.,[.,.]]],.],.]] [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[[.,[.,.]],[.,[[.,[.,.]],.]]],.] [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.] [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]] [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,[[.,.],.]],.],.],.],.],.] [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[[[[.,[[.,.],.]],.],.],[.,.]],.] [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[[[.,[[.,.],.]],.],.],[.,[.,.]]] [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[[[[.,[[.,.],.]],.],[.,.]],.],.] [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[[.,[[.,.],.]],.],[[.,.],[.,.]]] [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[[[.,[[.,.],.]],.],[.,[.,.]]],.] [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] ----------------------------------------------------------------------------- Created: Jan 29, 2020 at 13:25 by FindStatCrew ----------------------------------------------------------------------------- Last Updated: Jan 29, 2020 at 13:25 by Martin Rubey