***************************************************************************** * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2019 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. * ***************************************************************************** ----------------------------------------------------------------------------- Statistic identifier: St001554 ----------------------------------------------------------------------------- Collection: Binary trees ----------------------------------------------------------------------------- Description: The number of distinct nonempty subtrees of a binary tree. ----------------------------------------------------------------------------- References: [1] The number of unlabeled binary trees that contain n distinct subtrees, where a subtree means take any node and everything below that node. [[OEIS:A254789]] ----------------------------------------------------------------------------- Code: def statistic(B): return len(set([T for T in B.subtrees()])) ----------------------------------------------------------------------------- Statistic values: [.,.] => 1 [.,[.,.]] => 2 [[.,.],.] => 2 [.,[.,[.,.]]] => 3 [.,[[.,.],.]] => 3 [[.,.],[.,.]] => 2 [[.,[.,.]],.] => 3 [[[.,.],.],.] => 3 [.,[.,[.,[.,.]]]] => 4 [.,[.,[[.,.],.]]] => 4 [.,[[.,.],[.,.]]] => 3 [.,[[.,[.,.]],.]] => 4 [.,[[[.,.],.],.]] => 4 [[.,.],[.,[.,.]]] => 3 [[.,.],[[.,.],.]] => 3 [[.,[.,.]],[.,.]] => 3 [[[.,.],.],[.,.]] => 3 [[.,[.,[.,.]]],.] => 4 [[.,[[.,.],.]],.] => 4 [[[.,.],[.,.]],.] => 3 [[[.,[.,.]],.],.] => 4 [[[[.,.],.],.],.] => 4 [.,[.,[.,[.,[.,.]]]]] => 5 [.,[.,[.,[[.,.],.]]]] => 5 [.,[.,[[.,.],[.,.]]]] => 4 [.,[.,[[.,[.,.]],.]]] => 5 [.,[.,[[[.,.],.],.]]] => 5 [.,[[.,.],[.,[.,.]]]] => 4 [.,[[.,.],[[.,.],.]]] => 4 [.,[[.,[.,.]],[.,.]]] => 4 [.,[[[.,.],.],[.,.]]] => 4 [.,[[.,[.,[.,.]]],.]] => 5 [.,[[.,[[.,.],.]],.]] => 5 [.,[[[.,.],[.,.]],.]] => 4 [.,[[[.,[.,.]],.],.]] => 5 [.,[[[[.,.],.],.],.]] => 5 [[.,.],[.,[.,[.,.]]]] => 4 [[.,.],[.,[[.,.],.]]] => 4 [[.,.],[[.,.],[.,.]]] => 3 [[.,.],[[.,[.,.]],.]] => 4 [[.,.],[[[.,.],.],.]] => 4 [[.,[.,.]],[.,[.,.]]] => 3 [[.,[.,.]],[[.,.],.]] => 4 [[[.,.],.],[.,[.,.]]] => 4 [[[.,.],.],[[.,.],.]] => 3 [[.,[.,[.,.]]],[.,.]] => 4 [[.,[[.,.],.]],[.,.]] => 4 [[[.,.],[.,.]],[.,.]] => 3 [[[.,[.,.]],.],[.,.]] => 4 [[[[.,.],.],.],[.,.]] => 4 [[.,[.,[.,[.,.]]]],.] => 5 [[.,[.,[[.,.],.]]],.] => 5 [[.,[[.,.],[.,.]]],.] => 4 [[.,[[.,[.,.]],.]],.] => 5 [[.,[[[.,.],.],.]],.] => 5 [[[.,.],[.,[.,.]]],.] => 4 [[[.,.],[[.,.],.]],.] => 4 [[[.,[.,.]],[.,.]],.] => 4 [[[[.,.],.],[.,.]],.] => 4 [[[.,[.,[.,.]]],.],.] => 5 [[[.,[[.,.],.]],.],.] => 5 [[[[.,.],[.,.]],.],.] => 4 [[[[.,[.,.]],.],.],.] => 5 [[[[[.,.],.],.],.],.] => 5 [.,[.,[.,[.,[.,[.,.]]]]]] => 6 [.,[.,[.,[.,[[.,.],.]]]]] => 6 [.,[.,[.,[[.,.],[.,.]]]]] => 5 [.,[.,[.,[[.,[.,.]],.]]]] => 6 [.,[.,[.,[[[.,.],.],.]]]] => 6 [.,[.,[[.,.],[.,[.,.]]]]] => 5 [.,[.,[[.,.],[[.,.],.]]]] => 5 [.,[.,[[.,[.,.]],[.,.]]]] => 5 [.,[.,[[[.,.],.],[.,.]]]] => 5 [.,[.,[[.,[.,[.,.]]],.]]] => 6 [.,[.,[[.,[[.,.],.]],.]]] => 6 [.,[.,[[[.,.],[.,.]],.]]] => 5 [.,[.,[[[.,[.,.]],.],.]]] => 6 [.,[.,[[[[.,.],.],.],.]]] => 6 [.,[[.,.],[.,[.,[.,.]]]]] => 5 [.,[[.,.],[.,[[.,.],.]]]] => 5 [.,[[.,.],[[.,.],[.,.]]]] => 4 [.,[[.,.],[[.,[.,.]],.]]] => 5 [.,[[.,.],[[[.,.],.],.]]] => 5 [.,[[.,[.,.]],[.,[.,.]]]] => 4 [.,[[.,[.,.]],[[.,.],.]]] => 5 [.,[[[.,.],.],[.,[.,.]]]] => 5 [.,[[[.,.],.],[[.,.],.]]] => 4 [.,[[.,[.,[.,.]]],[.,.]]] => 5 [.,[[.,[[.,.],.]],[.,.]]] => 5 [.,[[[.,.],[.,.]],[.,.]]] => 4 [.,[[[.,[.,.]],.],[.,.]]] => 5 [.,[[[[.,.],.],.],[.,.]]] => 5 [.,[[.,[.,[.,[.,.]]]],.]] => 6 [.,[[.,[.,[[.,.],.]]],.]] => 6 [.,[[.,[[.,.],[.,.]]],.]] => 5 [.,[[.,[[.,[.,.]],.]],.]] => 6 [.,[[.,[[[.,.],.],.]],.]] => 6 [.,[[[.,.],[.,[.,.]]],.]] => 5 [.,[[[.,.],[[.,.],.]],.]] => 5 [.,[[[.,[.,.]],[.,.]],.]] => 5 [.,[[[[.,.],.],[.,.]],.]] => 5 [.,[[[.,[.,[.,.]]],.],.]] => 6 [.,[[[.,[[.,.],.]],.],.]] => 6 [.,[[[[.,.],[.,.]],.],.]] => 5 [.,[[[[.,[.,.]],.],.],.]] => 6 [.,[[[[[.,.],.],.],.],.]] => 6 [[.,.],[.,[.,[.,[.,.]]]]] => 5 [[.,.],[.,[.,[[.,.],.]]]] => 5 [[.,.],[.,[[.,.],[.,.]]]] => 4 [[.,.],[.,[[.,[.,.]],.]]] => 5 [[.,.],[.,[[[.,.],.],.]]] => 5 [[.,.],[[.,.],[.,[.,.]]]] => 4 [[.,.],[[.,.],[[.,.],.]]] => 4 [[.,.],[[.,[.,.]],[.,.]]] => 4 [[.,.],[[[.,.],.],[.,.]]] => 4 [[.,.],[[.,[.,[.,.]]],.]] => 5 [[.,.],[[.,[[.,.],.]],.]] => 5 [[.,.],[[[.,.],[.,.]],.]] => 4 [[.,.],[[[.,[.,.]],.],.]] => 5 [[.,.],[[[[.,.],.],.],.]] => 5 [[.,[.,.]],[.,[.,[.,.]]]] => 4 [[.,[.,.]],[.,[[.,.],.]]] => 5 [[.,[.,.]],[[.,.],[.,.]]] => 4 [[.,[.,.]],[[.,[.,.]],.]] => 4 [[.,[.,.]],[[[.,.],.],.]] => 5 [[[.,.],.],[.,[.,[.,.]]]] => 5 [[[.,.],.],[.,[[.,.],.]]] => 4 [[[.,.],.],[[.,.],[.,.]]] => 4 [[[.,.],.],[[.,[.,.]],.]] => 5 [[[.,.],.],[[[.,.],.],.]] => 4 [[.,[.,[.,.]]],[.,[.,.]]] => 4 [[.,[.,[.,.]]],[[.,.],.]] => 5 [[.,[[.,.],.]],[.,[.,.]]] => 5 [[.,[[.,.],.]],[[.,.],.]] => 4 [[[.,.],[.,.]],[.,[.,.]]] => 4 [[[.,.],[.,.]],[[.,.],.]] => 4 [[[.,[.,.]],.],[.,[.,.]]] => 4 [[[.,[.,.]],.],[[.,.],.]] => 5 [[[[.,.],.],.],[.,[.,.]]] => 5 [[[[.,.],.],.],[[.,.],.]] => 4 [[.,[.,[.,[.,.]]]],[.,.]] => 5 [[.,[.,[[.,.],.]]],[.,.]] => 5 [[.,[[.,.],[.,.]]],[.,.]] => 4 [[.,[[.,[.,.]],.]],[.,.]] => 5 [[.,[[[.,.],.],.]],[.,.]] => 5 [[[.,.],[.,[.,.]]],[.,.]] => 4 [[[.,.],[[.,.],.]],[.,.]] => 4 [[[.,[.,.]],[.,.]],[.,.]] => 4 [[[[.,.],.],[.,.]],[.,.]] => 4 [[[.,[.,[.,.]]],.],[.,.]] => 5 [[[.,[[.,.],.]],.],[.,.]] => 5 [[[[.,.],[.,.]],.],[.,.]] => 4 [[[[.,[.,.]],.],.],[.,.]] => 5 [[[[[.,.],.],.],.],[.,.]] => 5 [[.,[.,[.,[.,[.,.]]]]],.] => 6 [[.,[.,[.,[[.,.],.]]]],.] => 6 [[.,[.,[[.,.],[.,.]]]],.] => 5 [[.,[.,[[.,[.,.]],.]]],.] => 6 [[.,[.,[[[.,.],.],.]]],.] => 6 [[.,[[.,.],[.,[.,.]]]],.] => 5 [[.,[[.,.],[[.,.],.]]],.] => 5 [[.,[[.,[.,.]],[.,.]]],.] => 5 [[.,[[[.,.],.],[.,.]]],.] => 5 [[.,[[.,[.,[.,.]]],.]],.] => 6 [[.,[[.,[[.,.],.]],.]],.] => 6 [[.,[[[.,.],[.,.]],.]],.] => 5 [[.,[[[.,[.,.]],.],.]],.] => 6 [[.,[[[[.,.],.],.],.]],.] => 6 [[[.,.],[.,[.,[.,.]]]],.] => 5 [[[.,.],[.,[[.,.],.]]],.] => 5 [[[.,.],[[.,.],[.,.]]],.] => 4 [[[.,.],[[.,[.,.]],.]],.] => 5 [[[.,.],[[[.,.],.],.]],.] => 5 [[[.,[.,.]],[.,[.,.]]],.] => 4 [[[.,[.,.]],[[.,.],.]],.] => 5 [[[[.,.],.],[.,[.,.]]],.] => 5 [[[[.,.],.],[[.,.],.]],.] => 4 [[[.,[.,[.,.]]],[.,.]],.] => 5 [[[.,[[.,.],.]],[.,.]],.] => 5 [[[[.,.],[.,.]],[.,.]],.] => 4 [[[[.,[.,.]],.],[.,.]],.] => 5 [[[[[.,.],.],.],[.,.]],.] => 5 [[[.,[.,[.,[.,.]]]],.],.] => 6 [[[.,[.,[[.,.],.]]],.],.] => 6 [[[.,[[.,.],[.,.]]],.],.] => 5 [[[.,[[.,[.,.]],.]],.],.] => 6 [[[.,[[[.,.],.],.]],.],.] => 6 [[[[.,.],[.,[.,.]]],.],.] => 5 [[[[.,.],[[.,.],.]],.],.] => 5 [[[[.,[.,.]],[.,.]],.],.] => 5 [[[[[.,.],.],[.,.]],.],.] => 5 [[[[.,[.,[.,.]]],.],.],.] => 6 [[[[.,[[.,.],.]],.],.],.] => 6 [[[[[.,.],[.,.]],.],.],.] => 5 [[[[[.,[.,.]],.],.],.],.] => 6 [[[[[[.,.],.],.],.],.],.] => 6 [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7 [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 7 [.,[.,[.,[.,[[.,.],[.,.]]]]]] => 6 [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 7 [.,[.,[.,[.,[[[.,.],.],.]]]]] => 7 [.,[.,[.,[[.,.],[.,[.,.]]]]]] => 6 [.,[.,[.,[[.,.],[[.,.],.]]]]] => 6 [.,[.,[.,[[.,[.,.]],[.,.]]]]] => 6 [.,[.,[.,[[[.,.],.],[.,.]]]]] => 6 [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 7 [.,[.,[.,[[.,[[.,.],.]],.]]]] => 7 [.,[.,[.,[[[.,.],[.,.]],.]]]] => 6 [.,[.,[.,[[[.,[.,.]],.],.]]]] => 7 [.,[.,[.,[[[[.,.],.],.],.]]]] => 7 [.,[.,[[.,.],[.,[.,[.,.]]]]]] => 6 [.,[.,[[.,.],[.,[[.,.],.]]]]] => 6 [.,[.,[[.,.],[[.,.],[.,.]]]]] => 5 [.,[.,[[.,.],[[.,[.,.]],.]]]] => 6 [.,[.,[[.,.],[[[.,.],.],.]]]] => 6 [.,[.,[[.,[.,.]],[.,[.,.]]]]] => 5 [.,[.,[[.,[.,.]],[[.,.],.]]]] => 6 [.,[.,[[[.,.],.],[.,[.,.]]]]] => 6 [.,[.,[[[.,.],.],[[.,.],.]]]] => 5 [.,[.,[[.,[.,[.,.]]],[.,.]]]] => 6 [.,[.,[[.,[[.,.],.]],[.,.]]]] => 6 [.,[.,[[[.,.],[.,.]],[.,.]]]] => 5 [.,[.,[[[.,[.,.]],.],[.,.]]]] => 6 [.,[.,[[[[.,.],.],.],[.,.]]]] => 6 [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 7 [.,[.,[[.,[.,[[.,.],.]]],.]]] => 7 [.,[.,[[.,[[.,.],[.,.]]],.]]] => 6 [.,[.,[[.,[[.,[.,.]],.]],.]]] => 7 [.,[.,[[.,[[[.,.],.],.]],.]]] => 7 [.,[.,[[[.,.],[.,[.,.]]],.]]] => 6 [.,[.,[[[.,.],[[.,.],.]],.]]] => 6 [.,[.,[[[.,[.,.]],[.,.]],.]]] => 6 [.,[.,[[[[.,.],.],[.,.]],.]]] => 6 [.,[.,[[[.,[.,[.,.]]],.],.]]] => 7 [.,[.,[[[.,[[.,.],.]],.],.]]] => 7 [.,[.,[[[[.,.],[.,.]],.],.]]] => 6 [.,[.,[[[[.,[.,.]],.],.],.]]] => 7 [.,[.,[[[[[.,.],.],.],.],.]]] => 7 [.,[[.,.],[.,[.,[.,[.,.]]]]]] => 6 [.,[[.,.],[.,[.,[[.,.],.]]]]] => 6 [.,[[.,.],[.,[[.,.],[.,.]]]]] => 5 [.,[[.,.],[.,[[.,[.,.]],.]]]] => 6 [.,[[.,.],[.,[[[.,.],.],.]]]] => 6 [.,[[.,.],[[.,.],[.,[.,.]]]]] => 5 [.,[[.,.],[[.,.],[[.,.],.]]]] => 5 [.,[[.,.],[[.,[.,.]],[.,.]]]] => 5 [.,[[.,.],[[[.,.],.],[.,.]]]] => 5 [.,[[.,.],[[.,[.,[.,.]]],.]]] => 6 [.,[[.,.],[[.,[[.,.],.]],.]]] => 6 [.,[[.,.],[[[.,.],[.,.]],.]]] => 5 [.,[[.,.],[[[.,[.,.]],.],.]]] => 6 [.,[[.,.],[[[[.,.],.],.],.]]] => 6 [.,[[.,[.,.]],[.,[.,[.,.]]]]] => 5 [.,[[.,[.,.]],[.,[[.,.],.]]]] => 6 [.,[[.,[.,.]],[[.,.],[.,.]]]] => 5 [.,[[.,[.,.]],[[.,[.,.]],.]]] => 5 [.,[[.,[.,.]],[[[.,.],.],.]]] => 6 [.,[[[.,.],.],[.,[.,[.,.]]]]] => 6 [.,[[[.,.],.],[.,[[.,.],.]]]] => 5 [.,[[[.,.],.],[[.,.],[.,.]]]] => 5 [.,[[[.,.],.],[[.,[.,.]],.]]] => 6 [.,[[[.,.],.],[[[.,.],.],.]]] => 5 [.,[[.,[.,[.,.]]],[.,[.,.]]]] => 5 [.,[[.,[.,[.,.]]],[[.,.],.]]] => 6 [.,[[.,[[.,.],.]],[.,[.,.]]]] => 6 [.,[[.,[[.,.],.]],[[.,.],.]]] => 5 [.,[[[.,.],[.,.]],[.,[.,.]]]] => 5 [.,[[[.,.],[.,.]],[[.,.],.]]] => 5 [.,[[[.,[.,.]],.],[.,[.,.]]]] => 5 [.,[[[.,[.,.]],.],[[.,.],.]]] => 6 [.,[[[[.,.],.],.],[.,[.,.]]]] => 6 [.,[[[[.,.],.],.],[[.,.],.]]] => 5 [.,[[.,[.,[.,[.,.]]]],[.,.]]] => 6 [.,[[.,[.,[[.,.],.]]],[.,.]]] => 6 [.,[[.,[[.,.],[.,.]]],[.,.]]] => 5 [.,[[.,[[.,[.,.]],.]],[.,.]]] => 6 [.,[[.,[[[.,.],.],.]],[.,.]]] => 6 [.,[[[.,.],[.,[.,.]]],[.,.]]] => 5 [.,[[[.,.],[[.,.],.]],[.,.]]] => 5 [.,[[[.,[.,.]],[.,.]],[.,.]]] => 5 [.,[[[[.,.],.],[.,.]],[.,.]]] => 5 [.,[[[.,[.,[.,.]]],.],[.,.]]] => 6 [.,[[[.,[[.,.],.]],.],[.,.]]] => 6 [.,[[[[.,.],[.,.]],.],[.,.]]] => 5 [.,[[[[.,[.,.]],.],.],[.,.]]] => 6 [.,[[[[[.,.],.],.],.],[.,.]]] => 6 [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 7 [.,[[.,[.,[.,[[.,.],.]]]],.]] => 7 [.,[[.,[.,[[.,.],[.,.]]]],.]] => 6 [.,[[.,[.,[[.,[.,.]],.]]],.]] => 7 [.,[[.,[.,[[[.,.],.],.]]],.]] => 7 [.,[[.,[[.,.],[.,[.,.]]]],.]] => 6 [.,[[.,[[.,.],[[.,.],.]]],.]] => 6 [.,[[.,[[.,[.,.]],[.,.]]],.]] => 6 [.,[[.,[[[.,.],.],[.,.]]],.]] => 6 [.,[[.,[[.,[.,[.,.]]],.]],.]] => 7 [.,[[.,[[.,[[.,.],.]],.]],.]] => 7 [.,[[.,[[[.,.],[.,.]],.]],.]] => 6 [.,[[.,[[[.,[.,.]],.],.]],.]] => 7 [.,[[.,[[[[.,.],.],.],.]],.]] => 7 [.,[[[.,.],[.,[.,[.,.]]]],.]] => 6 [.,[[[.,.],[.,[[.,.],.]]],.]] => 6 [.,[[[.,.],[[.,.],[.,.]]],.]] => 5 [.,[[[.,.],[[.,[.,.]],.]],.]] => 6 [.,[[[.,.],[[[.,.],.],.]],.]] => 6 [.,[[[.,[.,.]],[.,[.,.]]],.]] => 5 [.,[[[.,[.,.]],[[.,.],.]],.]] => 6 [.,[[[[.,.],.],[.,[.,.]]],.]] => 6 [.,[[[[.,.],.],[[.,.],.]],.]] => 5 [.,[[[.,[.,[.,.]]],[.,.]],.]] => 6 [.,[[[.,[[.,.],.]],[.,.]],.]] => 6 [.,[[[[.,.],[.,.]],[.,.]],.]] => 5 [.,[[[[.,[.,.]],.],[.,.]],.]] => 6 [.,[[[[[.,.],.],.],[.,.]],.]] => 6 [.,[[[.,[.,[.,[.,.]]]],.],.]] => 7 [.,[[[.,[.,[[.,.],.]]],.],.]] => 7 [.,[[[.,[[.,.],[.,.]]],.],.]] => 6 [.,[[[.,[[.,[.,.]],.]],.],.]] => 7 [.,[[[.,[[[.,.],.],.]],.],.]] => 7 [.,[[[[.,.],[.,[.,.]]],.],.]] => 6 [.,[[[[.,.],[[.,.],.]],.],.]] => 6 [.,[[[[.,[.,.]],[.,.]],.],.]] => 6 [.,[[[[[.,.],.],[.,.]],.],.]] => 6 [.,[[[[.,[.,[.,.]]],.],.],.]] => 7 [.,[[[[.,[[.,.],.]],.],.],.]] => 7 [.,[[[[[.,.],[.,.]],.],.],.]] => 6 [.,[[[[[.,[.,.]],.],.],.],.]] => 7 [.,[[[[[[.,.],.],.],.],.],.]] => 7 [[.,.],[.,[.,[.,[.,[.,.]]]]]] => 6 [[.,.],[.,[.,[.,[[.,.],.]]]]] => 6 [[.,.],[.,[.,[[.,.],[.,.]]]]] => 5 [[.,.],[.,[.,[[.,[.,.]],.]]]] => 6 [[.,.],[.,[.,[[[.,.],.],.]]]] => 6 [[.,.],[.,[[.,.],[.,[.,.]]]]] => 5 [[.,.],[.,[[.,.],[[.,.],.]]]] => 5 [[.,.],[.,[[.,[.,.]],[.,.]]]] => 5 [[.,.],[.,[[[.,.],.],[.,.]]]] => 5 [[.,.],[.,[[.,[.,[.,.]]],.]]] => 6 [[.,.],[.,[[.,[[.,.],.]],.]]] => 6 [[.,.],[.,[[[.,.],[.,.]],.]]] => 5 [[.,.],[.,[[[.,[.,.]],.],.]]] => 6 [[.,.],[.,[[[[.,.],.],.],.]]] => 6 [[.,.],[[.,.],[.,[.,[.,.]]]]] => 5 [[.,.],[[.,.],[.,[[.,.],.]]]] => 5 [[.,.],[[.,.],[[.,.],[.,.]]]] => 4 [[.,.],[[.,.],[[.,[.,.]],.]]] => 5 [[.,.],[[.,.],[[[.,.],.],.]]] => 5 [[.,.],[[.,[.,.]],[.,[.,.]]]] => 4 [[.,.],[[.,[.,.]],[[.,.],.]]] => 5 [[.,.],[[[.,.],.],[.,[.,.]]]] => 5 [[.,.],[[[.,.],.],[[.,.],.]]] => 4 [[.,.],[[.,[.,[.,.]]],[.,.]]] => 5 [[.,.],[[.,[[.,.],.]],[.,.]]] => 5 [[.,.],[[[.,.],[.,.]],[.,.]]] => 4 [[.,.],[[[.,[.,.]],.],[.,.]]] => 5 [[.,.],[[[[.,.],.],.],[.,.]]] => 5 [[.,.],[[.,[.,[.,[.,.]]]],.]] => 6 [[.,.],[[.,[.,[[.,.],.]]],.]] => 6 [[.,.],[[.,[[.,.],[.,.]]],.]] => 5 [[.,.],[[.,[[.,[.,.]],.]],.]] => 6 [[.,.],[[.,[[[.,.],.],.]],.]] => 6 [[.,.],[[[.,.],[.,[.,.]]],.]] => 5 [[.,.],[[[.,.],[[.,.],.]],.]] => 5 [[.,.],[[[.,[.,.]],[.,.]],.]] => 5 [[.,.],[[[[.,.],.],[.,.]],.]] => 5 [[.,.],[[[.,[.,[.,.]]],.],.]] => 6 [[.,.],[[[.,[[.,.],.]],.],.]] => 6 [[.,.],[[[[.,.],[.,.]],.],.]] => 5 [[.,.],[[[[.,[.,.]],.],.],.]] => 6 [[.,.],[[[[[.,.],.],.],.],.]] => 6 [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 5 [[.,[.,.]],[.,[.,[[.,.],.]]]] => 6 [[.,[.,.]],[.,[[.,.],[.,.]]]] => 5 [[.,[.,.]],[.,[[.,[.,.]],.]]] => 5 [[.,[.,.]],[.,[[[.,.],.],.]]] => 6 [[.,[.,.]],[[.,.],[.,[.,.]]]] => 4 [[.,[.,.]],[[.,.],[[.,.],.]]] => 5 [[.,[.,.]],[[.,[.,.]],[.,.]]] => 4 [[.,[.,.]],[[[.,.],.],[.,.]]] => 5 [[.,[.,.]],[[.,[.,[.,.]]],.]] => 5 [[.,[.,.]],[[.,[[.,.],.]],.]] => 6 [[.,[.,.]],[[[.,.],[.,.]],.]] => 5 [[.,[.,.]],[[[.,[.,.]],.],.]] => 5 [[.,[.,.]],[[[[.,.],.],.],.]] => 6 [[[.,.],.],[.,[.,[.,[.,.]]]]] => 6 [[[.,.],.],[.,[.,[[.,.],.]]]] => 5 [[[.,.],.],[.,[[.,.],[.,.]]]] => 5 [[[.,.],.],[.,[[.,[.,.]],.]]] => 6 [[[.,.],.],[.,[[[.,.],.],.]]] => 5 [[[.,.],.],[[.,.],[.,[.,.]]]] => 5 [[[.,.],.],[[.,.],[[.,.],.]]] => 4 [[[.,.],.],[[.,[.,.]],[.,.]]] => 5 [[[.,.],.],[[[.,.],.],[.,.]]] => 4 [[[.,.],.],[[.,[.,[.,.]]],.]] => 6 [[[.,.],.],[[.,[[.,.],.]],.]] => 5 [[[.,.],.],[[[.,.],[.,.]],.]] => 5 [[[.,.],.],[[[.,[.,.]],.],.]] => 6 [[[.,.],.],[[[[.,.],.],.],.]] => 5 [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 4 [[.,[.,[.,.]]],[.,[[.,.],.]]] => 6 [[.,[.,[.,.]]],[[.,.],[.,.]]] => 5 [[.,[.,[.,.]]],[[.,[.,.]],.]] => 5 [[.,[.,[.,.]]],[[[.,.],.],.]] => 6 [[.,[[.,.],.]],[.,[.,[.,.]]]] => 6 [[.,[[.,.],.]],[.,[[.,.],.]]] => 4 [[.,[[.,.],.]],[[.,.],[.,.]]] => 5 [[.,[[.,.],.]],[[.,[.,.]],.]] => 6 [[.,[[.,.],.]],[[[.,.],.],.]] => 5 [[[.,.],[.,.]],[.,[.,[.,.]]]] => 5 [[[.,.],[.,.]],[.,[[.,.],.]]] => 5 [[[.,.],[.,.]],[[.,.],[.,.]]] => 3 [[[.,.],[.,.]],[[.,[.,.]],.]] => 5 [[[.,.],[.,.]],[[[.,.],.],.]] => 5 [[[.,[.,.]],.],[.,[.,[.,.]]]] => 5 [[[.,[.,.]],.],[.,[[.,.],.]]] => 6 [[[.,[.,.]],.],[[.,.],[.,.]]] => 5 [[[.,[.,.]],.],[[.,[.,.]],.]] => 4 [[[.,[.,.]],.],[[[.,.],.],.]] => 6 [[[[.,.],.],.],[.,[.,[.,.]]]] => 6 [[[[.,.],.],.],[.,[[.,.],.]]] => 5 [[[[.,.],.],.],[[.,.],[.,.]]] => 5 [[[[.,.],.],.],[[.,[.,.]],.]] => 6 [[[[.,.],.],.],[[[.,.],.],.]] => 4 [[.,[.,[.,[.,.]]]],[.,[.,.]]] => 5 [[.,[.,[.,[.,.]]]],[[.,.],.]] => 6 [[.,[.,[[.,.],.]]],[.,[.,.]]] => 6 [[.,[.,[[.,.],.]]],[[.,.],.]] => 5 [[.,[[.,.],[.,.]]],[.,[.,.]]] => 5 [[.,[[.,.],[.,.]]],[[.,.],.]] => 5 [[.,[[.,[.,.]],.]],[.,[.,.]]] => 5 [[.,[[.,[.,.]],.]],[[.,.],.]] => 6 [[.,[[[.,.],.],.]],[.,[.,.]]] => 6 [[.,[[[.,.],.],.]],[[.,.],.]] => 5 [[[.,.],[.,[.,.]]],[.,[.,.]]] => 4 [[[.,.],[.,[.,.]]],[[.,.],.]] => 5 [[[.,.],[[.,.],.]],[.,[.,.]]] => 5 [[[.,.],[[.,.],.]],[[.,.],.]] => 4 [[[.,[.,.]],[.,.]],[.,[.,.]]] => 4 [[[.,[.,.]],[.,.]],[[.,.],.]] => 5 [[[[.,.],.],[.,.]],[.,[.,.]]] => 5 [[[[.,.],.],[.,.]],[[.,.],.]] => 4 [[[.,[.,[.,.]]],.],[.,[.,.]]] => 5 [[[.,[.,[.,.]]],.],[[.,.],.]] => 6 [[[.,[[.,.],.]],.],[.,[.,.]]] => 6 [[[.,[[.,.],.]],.],[[.,.],.]] => 5 [[[[.,.],[.,.]],.],[.,[.,.]]] => 5 [[[[.,.],[.,.]],.],[[.,.],.]] => 5 [[[[.,[.,.]],.],.],[.,[.,.]]] => 5 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[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => 7 [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => 6 [.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => 7 [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => 7 [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => 6 [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => 6 [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => 5 [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => 6 [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => 6 [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => 5 [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => 6 [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => 6 [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => 5 [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => 6 [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => 6 [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => 5 [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => 6 [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => 6 [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => 7 [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => 7 [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => 6 [.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => 7 [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => 7 [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => 6 [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => 6 [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => 6 [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => 6 [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => 7 [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => 7 [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => 6 [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => 7 [.,[[.,.],[[[[[.,.],.],.],.],.]]] => 7 [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => 6 [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => 7 [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => 6 [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => 6 [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => 7 [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => 5 [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => 6 [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => 5 [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => 6 [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => 6 [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => 7 [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => 6 [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => 6 [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => 7 [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => 7 [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => 6 [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => 6 [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => 7 [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => 6 [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => 6 [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => 5 [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => 6 [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => 5 [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => 7 [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => 6 [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => 6 [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => 7 [.,[[[.,.],.],[[[[.,.],.],.],.]]] => 6 [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => 5 [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => 7 [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => 6 [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => 6 [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => 7 [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => 7 [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => 5 [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => 6 [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => 7 [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => 6 [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => 6 [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => 6 [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => 4 [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => 6 [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => 6 [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => 6 [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => 7 [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => 6 [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => 5 [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => 7 [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => 7 [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => 6 [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => 6 [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => 7 [.,[[[[.,.],.],.],[[[.,.],.],.]]] => 5 [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => 6 [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => 7 [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => 7 [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => 6 [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => 6 [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => 6 [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => 6 [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => 7 [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => 7 [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => 6 [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => 5 [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => 6 [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => 6 [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => 5 [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => 5 [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => 6 [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => 6 [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => 5 [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => 6 [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => 7 [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => 7 [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => 6 [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => 6 [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => 6 [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => 6 [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => 7 [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => 7 [.,[[[[[.,.],.],.],.],[[.,.],.]]] => 6 [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => 7 [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => 7 [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => 6 [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => 7 [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => 7 [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => 6 [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => 6 [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => 6 [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => 6 [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => 7 [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => 7 [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => 6 [.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => 7 [.,[[.,[[[[.,.],.],.],.]],[.,.]]] => 7 [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => 6 [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => 6 [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => 5 [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => 6 [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => 6 [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => 5 [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => 6 [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => 6 [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => 5 [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => 6 [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => 6 [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => 5 [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => 6 [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => 6 [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => 7 [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => 7 [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => 6 [.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => 7 [.,[[[.,[[[.,.],.],.]],.],[.,.]]] => 7 [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => 6 [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => 6 [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => 6 [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => 6 [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => 7 [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => 7 [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => 6 [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => 7 [.,[[[[[[.,.],.],.],.],.],[.,.]]] => 7 [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => 8 [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => 8 [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => 7 [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => 8 [.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => 8 [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => 7 [.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => 7 [.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => 7 [.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => 7 [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => 8 [.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => 8 [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => 7 [.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => 8 [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => 8 [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => 7 [.,[[.,[[.,.],[.,[[.,.],.]]]],.]] => 7 [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => 6 [.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => 7 [.,[[.,[[.,.],[[[.,.],.],.]]],.]] => 7 [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => 6 [.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => 7 [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => 7 [.,[[.,[[[.,.],.],[[.,.],.]]],.]] => 6 [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => 7 [.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => 7 [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => 6 [.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => 7 [.,[[.,[[[[.,.],.],.],[.,.]]],.]] => 7 [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => 8 [.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => 8 [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => 7 [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => 8 [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => 8 [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => 7 [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => 7 [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => 7 [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => 7 [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => 8 [.,[[.,[[[.,[[.,.],.]],.],.]],.]] => 8 [.,[[.,[[[[.,.],[.,.]],.],.]],.]] => 7 [.,[[.,[[[[.,[.,.]],.],.],.]],.]] => 8 [.,[[.,[[[[[.,.],.],.],.],.]],.]] => 8 [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => 7 [.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => 7 [.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => 6 [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => 7 [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => 7 [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => 6 [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => 6 [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => 6 [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => 6 [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => 7 [.,[[[.,.],[[.,[[.,.],.]],.]],.]] => 7 [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => 6 [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => 7 [.,[[[.,.],[[[[.,.],.],.],.]],.]] => 7 [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => 6 [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => 7 [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => 6 [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => 6 [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => 7 [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => 7 [.,[[[[.,.],.],[.,[[.,.],.]]],.]] => 6 [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => 6 [.,[[[[.,.],.],[[.,[.,.]],.]],.]] => 7 [.,[[[[.,.],.],[[[.,.],.],.]],.]] => 6 [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => 6 [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => 7 [.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => 7 [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => 6 [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => 6 [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => 6 [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => 6 [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => 7 [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => 7 [.,[[[[[.,.],.],.],[[.,.],.]],.]] => 6 [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => 7 [.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => 7 [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => 6 [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => 7 [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => 7 [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => 6 [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => 6 [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => 6 [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => 6 [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => 7 [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => 7 [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => 6 [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => 7 [.,[[[[[[.,.],.],.],.],[.,.]],.]] => 7 [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => 8 [.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => 8 [.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => 7 [.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => 8 [.,[[[.,[.,[[[.,.],.],.]]],.],.]] => 8 [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => 7 [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => 7 [.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => 7 [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => 7 [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => 8 [.,[[[.,[[.,[[.,.],.]],.]],.],.]] => 8 [.,[[[.,[[[.,.],[.,.]],.]],.],.]] => 7 [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => 8 [.,[[[.,[[[[.,.],.],.],.]],.],.]] => 8 [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => 7 [.,[[[[.,.],[.,[[.,.],.]]],.],.]] => 7 [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => 6 [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => 7 [.,[[[[.,.],[[[.,.],.],.]],.],.]] => 7 [.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => 6 [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => 7 [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => 7 [.,[[[[[.,.],.],[[.,.],.]],.],.]] => 6 [.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => 7 [.,[[[[.,[[.,.],.]],[.,.]],.],.]] => 7 [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => 6 [.,[[[[[.,[.,.]],.],[.,.]],.],.]] => 7 [.,[[[[[[.,.],.],.],[.,.]],.],.]] => 7 [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => 8 [.,[[[[.,[.,[[.,.],.]]],.],.],.]] => 8 [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => 7 [.,[[[[.,[[.,[.,.]],.]],.],.],.]] => 8 [.,[[[[.,[[[.,.],.],.]],.],.],.]] => 8 [.,[[[[[.,.],[.,[.,.]]],.],.],.]] => 7 [.,[[[[[.,.],[[.,.],.]],.],.],.]] => 7 [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => 7 [.,[[[[[[.,.],.],[.,.]],.],.],.]] => 7 [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => 8 [.,[[[[[.,[[.,.],.]],.],.],.],.]] => 8 [.,[[[[[[.,.],[.,.]],.],.],.],.]] => 7 [.,[[[[[[.,[.,.]],.],.],.],.],.]] => 8 [.,[[[[[[[.,.],.],.],.],.],.],.]] => 8 [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => 7 [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => 7 [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => 6 [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => 7 [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => 7 [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => 6 [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => 6 [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => 6 [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => 6 [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => 7 [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => 7 [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => 6 [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => 7 [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => 7 [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => 6 [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => 6 [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => 5 [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => 6 [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => 6 [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => 5 [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => 6 [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => 6 [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => 5 [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => 6 [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => 6 [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => 5 [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => 6 [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => 6 [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => 7 [[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => 7 [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => 6 [[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => 7 [[.,.],[.,[[.,[[[.,.],.],.]],.]]] => 7 [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => 6 [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => 6 [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => 6 [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => 6 [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => 7 [[.,.],[.,[[[.,[[.,.],.]],.],.]]] => 7 [[.,.],[.,[[[[.,.],[.,.]],.],.]]] => 6 [[.,.],[.,[[[[.,[.,.]],.],.],.]]] => 7 [[.,.],[.,[[[[[.,.],.],.],.],.]]] => 7 [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => 6 [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => 6 [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => 5 [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => 6 [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => 6 [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => 5 [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 5 [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => 5 [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => 5 [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => 6 [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => 6 [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => 5 [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => 6 [[.,.],[[.,.],[[[[.,.],.],.],.]]] => 6 [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => 5 [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => 6 [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => 5 [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => 5 [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => 6 [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => 6 [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => 5 [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => 5 [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => 6 [[.,.],[[[.,.],.],[[[.,.],.],.]]] => 5 [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => 5 [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => 6 [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => 6 [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => 5 [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => 5 [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => 5 [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => 5 [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => 6 [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => 6 [[.,.],[[[[.,.],.],.],[[.,.],.]]] => 5 [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => 6 [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => 6 [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => 5 [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => 6 [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => 6 [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => 5 [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => 5 [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => 5 [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => 5 [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => 6 [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => 6 [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => 5 [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => 6 [[.,.],[[[[[.,.],.],.],.],[.,.]]] => 6 [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => 7 [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => 7 [[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => 6 [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => 7 [[.,.],[[.,[.,[[[.,.],.],.]]],.]] => 7 [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => 6 [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => 6 [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => 6 [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => 6 [[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => 7 [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => 7 [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => 6 [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => 7 [[.,.],[[.,[[[[.,.],.],.],.]],.]] => 7 [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => 6 [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => 6 [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => 5 [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => 6 [[.,.],[[[.,.],[[[.,.],.],.]],.]] => 6 [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => 5 [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => 6 [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => 6 [[.,.],[[[[.,.],.],[[.,.],.]],.]] => 5 [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => 6 [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => 6 [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => 5 [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => 6 [[.,.],[[[[[.,.],.],.],[.,.]],.]] => 6 [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => 7 [[.,.],[[[.,[.,[[.,.],.]]],.],.]] => 7 [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => 6 [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => 7 [[.,.],[[[.,[[[.,.],.],.]],.],.]] => 7 [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => 6 [[.,.],[[[[.,.],[[.,.],.]],.],.]] => 6 [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => 6 [[.,.],[[[[[.,.],.],[.,.]],.],.]] => 6 [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => 7 [[.,.],[[[[.,[[.,.],.]],.],.],.]] => 7 [[.,.],[[[[[.,.],[.,.]],.],.],.]] => 6 [[.,.],[[[[[.,[.,.]],.],.],.],.]] => 7 [[.,.],[[[[[[.,.],.],.],.],.],.]] => 7 [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => 6 [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => 7 [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => 6 [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => 6 [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => 7 [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => 5 [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => 6 [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => 5 [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => 6 [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => 6 [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => 7 [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => 6 [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => 6 [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => 7 ----------------------------------------------------------------------------- Created: Jun 05, 2020 at 14:17 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Jun 05, 2020 at 14:17 by Martin Rubey