***************************************************************************** * 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: St000398 ----------------------------------------------------------------------------- Collection: Binary trees ----------------------------------------------------------------------------- Description: The sum of the depths of the vertices (or total internal path length) of a binary tree. The depth of a vertex is the number of edges to the tree's root, see Section 2.3.4.5 of [1] and [3]. This statistic is the very first entry of the OEIS, see [2]. Observe that there the term '''height''' is used instead. ----------------------------------------------------------------------------- References: [1] Knuth, D. E. The art of computer programming. Vol. 1 [[MathSciNet:3077152]] [2] Normalized total height of all nodes in all rooted trees with n labeled nodes. [[OEIS:A000435]] [3] [[wikipedia:Tree (data_structure)]] ----------------------------------------------------------------------------- Code: def statistic(T): return path_length_aux(T, 0) def path_length_aux(T, n): return n+sum(path_length_aux(S, n+1) for S in T if not S.is_empty()) ----------------------------------------------------------------------------- Statistic values: [.,.] => 0 [.,[.,.]] => 1 [[.,.],.] => 1 [.,[.,[.,.]]] => 3 [.,[[.,.],.]] => 3 [[.,.],[.,.]] => 2 [[.,[.,.]],.] => 3 [[[.,.],.],.] => 3 [.,[.,[.,[.,.]]]] => 6 [.,[.,[[.,.],.]]] => 6 [.,[[.,.],[.,.]]] => 5 [.,[[.,[.,.]],.]] => 6 [.,[[[.,.],.],.]] => 6 [[.,.],[.,[.,.]]] => 4 [[.,.],[[.,.],.]] => 4 [[.,[.,.]],[.,.]] => 4 [[[.,.],.],[.,.]] => 4 [[.,[.,[.,.]]],.] => 6 [[.,[[.,.],.]],.] => 6 [[[.,.],[.,.]],.] => 5 [[[.,[.,.]],.],.] => 6 [[[[.,.],.],.],.] => 6 [.,[.,[.,[.,[.,.]]]]] => 10 [.,[.,[.,[[.,.],.]]]] => 10 [.,[.,[[.,.],[.,.]]]] => 9 [.,[.,[[.,[.,.]],.]]] => 10 [.,[.,[[[.,.],.],.]]] => 10 [.,[[.,.],[.,[.,.]]]] => 8 [.,[[.,.],[[.,.],.]]] => 8 [.,[[.,[.,.]],[.,.]]] => 8 [.,[[[.,.],.],[.,.]]] => 8 [.,[[.,[.,[.,.]]],.]] => 10 [.,[[.,[[.,.],.]],.]] => 10 [.,[[[.,.],[.,.]],.]] => 9 [.,[[[.,[.,.]],.],.]] => 10 [.,[[[[.,.],.],.],.]] => 10 [[.,.],[.,[.,[.,.]]]] => 7 [[.,.],[.,[[.,.],.]]] => 7 [[.,.],[[.,.],[.,.]]] => 6 [[.,.],[[.,[.,.]],.]] => 7 [[.,.],[[[.,.],.],.]] => 7 [[.,[.,.]],[.,[.,.]]] => 6 [[.,[.,.]],[[.,.],.]] => 6 [[[.,.],.],[.,[.,.]]] => 6 [[[.,.],.],[[.,.],.]] => 6 [[.,[.,[.,.]]],[.,.]] => 7 [[.,[[.,.],.]],[.,.]] => 7 [[[.,.],[.,.]],[.,.]] => 6 [[[.,[.,.]],.],[.,.]] => 7 [[[[.,.],.],.],[.,.]] => 7 [[.,[.,[.,[.,.]]]],.] => 10 [[.,[.,[[.,.],.]]],.] => 10 [[.,[[.,.],[.,.]]],.] => 9 [[.,[[.,[.,.]],.]],.] => 10 [[.,[[[.,.],.],.]],.] => 10 [[[.,.],[.,[.,.]]],.] => 8 [[[.,.],[[.,.],.]],.] => 8 [[[.,[.,.]],[.,.]],.] => 8 [[[[.,.],.],[.,.]],.] => 8 [[[.,[.,[.,.]]],.],.] => 10 [[[.,[[.,.],.]],.],.] => 10 [[[[.,.],[.,.]],.],.] => 9 [[[[.,[.,.]],.],.],.] => 10 [[[[[.,.],.],.],.],.] => 10 [.,[.,[.,[.,[.,[.,.]]]]]] => 15 [.,[.,[.,[.,[[.,.],.]]]]] => 15 [.,[.,[.,[[.,.],[.,.]]]]] => 14 [.,[.,[.,[[.,[.,.]],.]]]] => 15 [.,[.,[.,[[[.,.],.],.]]]] => 15 [.,[.,[[.,.],[.,[.,.]]]]] => 13 [.,[.,[[.,.],[[.,.],.]]]] => 13 [.,[.,[[.,[.,.]],[.,.]]]] => 13 [.,[.,[[[.,.],.],[.,.]]]] => 13 [.,[.,[[.,[.,[.,.]]],.]]] => 15 [.,[.,[[.,[[.,.],.]],.]]] => 15 [.,[.,[[[.,.],[.,.]],.]]] => 14 [.,[.,[[[.,[.,.]],.],.]]] => 15 [.,[.,[[[[.,.],.],.],.]]] => 15 [.,[[.,.],[.,[.,[.,.]]]]] => 12 [.,[[.,.],[.,[[.,.],.]]]] => 12 [.,[[.,.],[[.,.],[.,.]]]] => 11 [.,[[.,.],[[.,[.,.]],.]]] => 12 [.,[[.,.],[[[.,.],.],.]]] => 12 [.,[[.,[.,.]],[.,[.,.]]]] => 11 [.,[[.,[.,.]],[[.,.],.]]] => 11 [.,[[[.,.],.],[.,[.,.]]]] => 11 [.,[[[.,.],.],[[.,.],.]]] => 11 [.,[[.,[.,[.,.]]],[.,.]]] => 12 [.,[[.,[[.,.],.]],[.,.]]] => 12 [.,[[[.,.],[.,.]],[.,.]]] => 11 [.,[[[.,[.,.]],.],[.,.]]] => 12 [.,[[[[.,.],.],.],[.,.]]] => 12 [.,[[.,[.,[.,[.,.]]]],.]] => 15 [.,[[.,[.,[[.,.],.]]],.]] => 15 [.,[[.,[[.,.],[.,.]]],.]] => 14 [.,[[.,[[.,[.,.]],.]],.]] => 15 [.,[[.,[[[.,.],.],.]],.]] => 15 [.,[[[.,.],[.,[.,.]]],.]] => 13 [.,[[[.,.],[[.,.],.]],.]] => 13 [.,[[[.,[.,.]],[.,.]],.]] => 13 [.,[[[[.,.],.],[.,.]],.]] => 13 [.,[[[.,[.,[.,.]]],.],.]] => 15 [.,[[[.,[[.,.],.]],.],.]] => 15 [.,[[[[.,.],[.,.]],.],.]] => 14 [.,[[[[.,[.,.]],.],.],.]] => 15 [.,[[[[[.,.],.],.],.],.]] => 15 [[.,.],[.,[.,[.,[.,.]]]]] => 11 [[.,.],[.,[.,[[.,.],.]]]] => 11 [[.,.],[.,[[.,.],[.,.]]]] => 10 [[.,.],[.,[[.,[.,.]],.]]] => 11 [[.,.],[.,[[[.,.],.],.]]] => 11 [[.,.],[[.,.],[.,[.,.]]]] => 9 [[.,.],[[.,.],[[.,.],.]]] => 9 [[.,.],[[.,[.,.]],[.,.]]] => 9 [[.,.],[[[.,.],.],[.,.]]] => 9 [[.,.],[[.,[.,[.,.]]],.]] => 11 [[.,.],[[.,[[.,.],.]],.]] => 11 [[.,.],[[[.,.],[.,.]],.]] => 10 [[.,.],[[[.,[.,.]],.],.]] => 11 [[.,.],[[[[.,.],.],.],.]] => 11 [[.,[.,.]],[.,[.,[.,.]]]] => 9 [[.,[.,.]],[.,[[.,.],.]]] => 9 [[.,[.,.]],[[.,.],[.,.]]] => 8 [[.,[.,.]],[[.,[.,.]],.]] => 9 [[.,[.,.]],[[[.,.],.],.]] => 9 [[[.,.],.],[.,[.,[.,.]]]] => 9 [[[.,.],.],[.,[[.,.],.]]] => 9 [[[.,.],.],[[.,.],[.,.]]] => 8 [[[.,.],.],[[.,[.,.]],.]] => 9 [[[.,.],.],[[[.,.],.],.]] => 9 [[.,[.,[.,.]]],[.,[.,.]]] => 9 [[.,[.,[.,.]]],[[.,.],.]] => 9 [[.,[[.,.],.]],[.,[.,.]]] => 9 [[.,[[.,.],.]],[[.,.],.]] => 9 [[[.,.],[.,.]],[.,[.,.]]] => 8 [[[.,.],[.,.]],[[.,.],.]] => 8 [[[.,[.,.]],.],[.,[.,.]]] => 9 [[[.,[.,.]],.],[[.,.],.]] => 9 [[[[.,.],.],.],[.,[.,.]]] => 9 [[[[.,.],.],.],[[.,.],.]] => 9 [[.,[.,[.,[.,.]]]],[.,.]] => 11 [[.,[.,[[.,.],.]]],[.,.]] => 11 [[.,[[.,.],[.,.]]],[.,.]] => 10 [[.,[[.,[.,.]],.]],[.,.]] => 11 [[.,[[[.,.],.],.]],[.,.]] => 11 [[[.,.],[.,[.,.]]],[.,.]] => 9 [[[.,.],[[.,.],.]],[.,.]] => 9 [[[.,[.,.]],[.,.]],[.,.]] => 9 [[[[.,.],.],[.,.]],[.,.]] => 9 [[[.,[.,[.,.]]],.],[.,.]] => 11 [[[.,[[.,.],.]],.],[.,.]] => 11 [[[[.,.],[.,.]],.],[.,.]] => 10 [[[[.,[.,.]],.],.],[.,.]] => 11 [[[[[.,.],.],.],.],[.,.]] => 11 [[.,[.,[.,[.,[.,.]]]]],.] => 15 [[.,[.,[.,[[.,.],.]]]],.] => 15 [[.,[.,[[.,.],[.,.]]]],.] => 14 [[.,[.,[[.,[.,.]],.]]],.] => 15 [[.,[.,[[[.,.],.],.]]],.] => 15 [[.,[[.,.],[.,[.,.]]]],.] => 13 [[.,[[.,.],[[.,.],.]]],.] => 13 [[.,[[.,[.,.]],[.,.]]],.] => 13 [[.,[[[.,.],.],[.,.]]],.] => 13 [[.,[[.,[.,[.,.]]],.]],.] => 15 [[.,[[.,[[.,.],.]],.]],.] => 15 [[.,[[[.,.],[.,.]],.]],.] => 14 [[.,[[[.,[.,.]],.],.]],.] => 15 [[.,[[[[.,.],.],.],.]],.] => 15 [[[.,.],[.,[.,[.,.]]]],.] => 12 [[[.,.],[.,[[.,.],.]]],.] => 12 [[[.,.],[[.,.],[.,.]]],.] => 11 [[[.,.],[[.,[.,.]],.]],.] => 12 [[[.,.],[[[.,.],.],.]],.] => 12 [[[.,[.,.]],[.,[.,.]]],.] => 11 [[[.,[.,.]],[[.,.],.]],.] => 11 [[[[.,.],.],[.,[.,.]]],.] => 11 [[[[.,.],.],[[.,.],.]],.] => 11 [[[.,[.,[.,.]]],[.,.]],.] => 12 [[[.,[[.,.],.]],[.,.]],.] => 12 [[[[.,.],[.,.]],[.,.]],.] => 11 [[[[.,[.,.]],.],[.,.]],.] => 12 [[[[[.,.],.],.],[.,.]],.] => 12 [[[.,[.,[.,[.,.]]]],.],.] => 15 [[[.,[.,[[.,.],.]]],.],.] => 15 [[[.,[[.,.],[.,.]]],.],.] => 14 [[[.,[[.,[.,.]],.]],.],.] => 15 [[[.,[[[.,.],.],.]],.],.] => 15 [[[[.,.],[.,[.,.]]],.],.] => 13 [[[[.,.],[[.,.],.]],.],.] => 13 [[[[.,[.,.]],[.,.]],.],.] => 13 [[[[[.,.],.],[.,.]],.],.] => 13 [[[[.,[.,[.,.]]],.],.],.] => 15 [[[[.,[[.,.],.]],.],.],.] => 15 [[[[[.,.],[.,.]],.],.],.] => 14 [[[[[.,[.,.]],.],.],.],.] => 15 [[[[[[.,.],.],.],.],.],.] => 15 [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 21 [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 21 [.,[.,[.,[.,[[.,.],[.,.]]]]]] => 20 [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 21 [.,[.,[.,[.,[[[.,.],.],.]]]]] => 21 [.,[.,[.,[[.,.],[.,[.,.]]]]]] => 19 [.,[.,[.,[[.,.],[[.,.],.]]]]] => 19 [.,[.,[.,[[.,[.,.]],[.,.]]]]] => 19 [.,[.,[.,[[[.,.],.],[.,.]]]]] => 19 [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 21 [.,[.,[.,[[.,[[.,.],.]],.]]]] => 21 [.,[.,[.,[[[.,.],[.,.]],.]]]] => 20 [.,[.,[.,[[[.,[.,.]],.],.]]]] => 21 [.,[.,[.,[[[[.,.],.],.],.]]]] => 21 [.,[.,[[.,.],[.,[.,[.,.]]]]]] => 18 [.,[.,[[.,.],[.,[[.,.],.]]]]] => 18 [.,[.,[[.,.],[[.,.],[.,.]]]]] => 17 [.,[.,[[.,.],[[.,[.,.]],.]]]] => 18 [.,[.,[[.,.],[[[.,.],.],.]]]] => 18 [.,[.,[[.,[.,.]],[.,[.,.]]]]] => 17 [.,[.,[[.,[.,.]],[[.,.],.]]]] => 17 [.,[.,[[[.,.],.],[.,[.,.]]]]] => 17 [.,[.,[[[.,.],.],[[.,.],.]]]] => 17 [.,[.,[[.,[.,[.,.]]],[.,.]]]] => 18 [.,[.,[[.,[[.,.],.]],[.,.]]]] => 18 [.,[.,[[[.,.],[.,.]],[.,.]]]] => 17 [.,[.,[[[.,[.,.]],.],[.,.]]]] => 18 [.,[.,[[[[.,.],.],.],[.,.]]]] => 18 [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 21 [.,[.,[[.,[.,[[.,.],.]]],.]]] => 21 [.,[.,[[.,[[.,.],[.,.]]],.]]] => 20 [.,[.,[[.,[[.,[.,.]],.]],.]]] => 21 [.,[.,[[.,[[[.,.],.],.]],.]]] => 21 [.,[.,[[[.,.],[.,[.,.]]],.]]] => 19 [.,[.,[[[.,.],[[.,.],.]],.]]] => 19 [.,[.,[[[.,[.,.]],[.,.]],.]]] => 19 [.,[.,[[[[.,.],.],[.,.]],.]]] => 19 [.,[.,[[[.,[.,[.,.]]],.],.]]] => 21 [.,[.,[[[.,[[.,.],.]],.],.]]] => 21 [.,[.,[[[[.,.],[.,.]],.],.]]] => 20 [.,[.,[[[[.,[.,.]],.],.],.]]] => 21 [.,[.,[[[[[.,.],.],.],.],.]]] => 21 [.,[[.,.],[.,[.,[.,[.,.]]]]]] => 17 [.,[[.,.],[.,[.,[[.,.],.]]]]] => 17 [.,[[.,.],[.,[[.,.],[.,.]]]]] => 16 [.,[[.,.],[.,[[.,[.,.]],.]]]] => 17 [.,[[.,.],[.,[[[.,.],.],.]]]] => 17 [.,[[.,.],[[.,.],[.,[.,.]]]]] => 15 [.,[[.,.],[[.,.],[[.,.],.]]]] => 15 [.,[[.,.],[[.,[.,.]],[.,.]]]] => 15 [.,[[.,.],[[[.,.],.],[.,.]]]] => 15 [.,[[.,.],[[.,[.,[.,.]]],.]]] => 17 [.,[[.,.],[[.,[[.,.],.]],.]]] => 17 [.,[[.,.],[[[.,.],[.,.]],.]]] => 16 [.,[[.,.],[[[.,[.,.]],.],.]]] => 17 [.,[[.,.],[[[[.,.],.],.],.]]] => 17 [.,[[.,[.,.]],[.,[.,[.,.]]]]] => 15 [.,[[.,[.,.]],[.,[[.,.],.]]]] => 15 [.,[[.,[.,.]],[[.,.],[.,.]]]] => 14 [.,[[.,[.,.]],[[.,[.,.]],.]]] => 15 [.,[[.,[.,.]],[[[.,.],.],.]]] => 15 [.,[[[.,.],.],[.,[.,[.,.]]]]] => 15 [.,[[[.,.],.],[.,[[.,.],.]]]] => 15 [.,[[[.,.],.],[[.,.],[.,.]]]] => 14 [.,[[[.,.],.],[[.,[.,.]],.]]] => 15 [.,[[[.,.],.],[[[.,.],.],.]]] => 15 [.,[[.,[.,[.,.]]],[.,[.,.]]]] => 15 [.,[[.,[.,[.,.]]],[[.,.],.]]] => 15 [.,[[.,[[.,.],.]],[.,[.,.]]]] => 15 [.,[[.,[[.,.],.]],[[.,.],.]]] => 15 [.,[[[.,.],[.,.]],[.,[.,.]]]] => 14 [.,[[[.,.],[.,.]],[[.,.],.]]] => 14 [.,[[[.,[.,.]],.],[.,[.,.]]]] => 15 [.,[[[.,[.,.]],.],[[.,.],.]]] => 15 [.,[[[[.,.],.],.],[.,[.,.]]]] => 15 [.,[[[[.,.],.],.],[[.,.],.]]] => 15 [.,[[.,[.,[.,[.,.]]]],[.,.]]] => 17 [.,[[.,[.,[[.,.],.]]],[.,.]]] => 17 [.,[[.,[[.,.],[.,.]]],[.,.]]] => 16 [.,[[.,[[.,[.,.]],.]],[.,.]]] => 17 [.,[[.,[[[.,.],.],.]],[.,.]]] => 17 [.,[[[.,.],[.,[.,.]]],[.,.]]] => 15 [.,[[[.,.],[[.,.],.]],[.,.]]] => 15 [.,[[[.,[.,.]],[.,.]],[.,.]]] => 15 [.,[[[[.,.],.],[.,.]],[.,.]]] => 15 [.,[[[.,[.,[.,.]]],.],[.,.]]] => 17 [.,[[[.,[[.,.],.]],.],[.,.]]] => 17 [.,[[[[.,.],[.,.]],.],[.,.]]] => 16 [.,[[[[.,[.,.]],.],.],[.,.]]] => 17 [.,[[[[[.,.],.],.],.],[.,.]]] => 17 [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 21 [.,[[.,[.,[.,[[.,.],.]]]],.]] => 21 [.,[[.,[.,[[.,.],[.,.]]]],.]] => 20 [.,[[.,[.,[[.,[.,.]],.]]],.]] => 21 [.,[[.,[.,[[[.,.],.],.]]],.]] => 21 [.,[[.,[[.,.],[.,[.,.]]]],.]] => 19 [.,[[.,[[.,.],[[.,.],.]]],.]] => 19 [.,[[.,[[.,[.,.]],[.,.]]],.]] => 19 [.,[[.,[[[.,.],.],[.,.]]],.]] => 19 [.,[[.,[[.,[.,[.,.]]],.]],.]] => 21 [.,[[.,[[.,[[.,.],.]],.]],.]] => 21 [.,[[.,[[[.,.],[.,.]],.]],.]] => 20 [.,[[.,[[[.,[.,.]],.],.]],.]] => 21 [.,[[.,[[[[.,.],.],.],.]],.]] => 21 [.,[[[.,.],[.,[.,[.,.]]]],.]] => 18 [.,[[[.,.],[.,[[.,.],.]]],.]] => 18 [.,[[[.,.],[[.,.],[.,.]]],.]] => 17 [.,[[[.,.],[[.,[.,.]],.]],.]] => 18 [.,[[[.,.],[[[.,.],.],.]],.]] => 18 [.,[[[.,[.,.]],[.,[.,.]]],.]] => 17 [.,[[[.,[.,.]],[[.,.],.]],.]] => 17 [.,[[[[.,.],.],[.,[.,.]]],.]] => 17 [.,[[[[.,.],.],[[.,.],.]],.]] => 17 [.,[[[.,[.,[.,.]]],[.,.]],.]] => 18 [.,[[[.,[[.,.],.]],[.,.]],.]] => 18 [.,[[[[.,.],[.,.]],[.,.]],.]] => 17 [.,[[[[.,[.,.]],.],[.,.]],.]] => 18 [.,[[[[[.,.],.],.],[.,.]],.]] => 18 [.,[[[.,[.,[.,[.,.]]]],.],.]] => 21 [.,[[[.,[.,[[.,.],.]]],.],.]] => 21 [.,[[[.,[[.,.],[.,.]]],.],.]] => 20 [.,[[[.,[[.,[.,.]],.]],.],.]] => 21 [.,[[[.,[[[.,.],.],.]],.],.]] => 21 [.,[[[[.,.],[.,[.,.]]],.],.]] => 19 [.,[[[[.,.],[[.,.],.]],.],.]] => 19 [.,[[[[.,[.,.]],[.,.]],.],.]] => 19 [.,[[[[[.,.],.],[.,.]],.],.]] => 19 [.,[[[[.,[.,[.,.]]],.],.],.]] => 21 [.,[[[[.,[[.,.],.]],.],.],.]] => 21 [.,[[[[[.,.],[.,.]],.],.],.]] => 20 [.,[[[[[.,[.,.]],.],.],.],.]] => 21 [.,[[[[[[.,.],.],.],.],.],.]] => 21 [[.,.],[.,[.,[.,[.,[.,.]]]]]] => 16 [[.,.],[.,[.,[.,[[.,.],.]]]]] => 16 [[.,.],[.,[.,[[.,.],[.,.]]]]] => 15 [[.,.],[.,[.,[[.,[.,.]],.]]]] => 16 [[.,.],[.,[.,[[[.,.],.],.]]]] => 16 [[.,.],[.,[[.,.],[.,[.,.]]]]] => 14 [[.,.],[.,[[.,.],[[.,.],.]]]] => 14 [[.,.],[.,[[.,[.,.]],[.,.]]]] => 14 [[.,.],[.,[[[.,.],.],[.,.]]]] => 14 [[.,.],[.,[[.,[.,[.,.]]],.]]] => 16 [[.,.],[.,[[.,[[.,.],.]],.]]] => 16 [[.,.],[.,[[[.,.],[.,.]],.]]] => 15 [[.,.],[.,[[[.,[.,.]],.],.]]] => 16 [[.,.],[.,[[[[.,.],.],.],.]]] => 16 [[.,.],[[.,.],[.,[.,[.,.]]]]] => 13 [[.,.],[[.,.],[.,[[.,.],.]]]] => 13 [[.,.],[[.,.],[[.,.],[.,.]]]] => 12 [[.,.],[[.,.],[[.,[.,.]],.]]] => 13 [[.,.],[[.,.],[[[.,.],.],.]]] => 13 [[.,.],[[.,[.,.]],[.,[.,.]]]] => 12 [[.,.],[[.,[.,.]],[[.,.],.]]] => 12 [[.,.],[[[.,.],.],[.,[.,.]]]] => 12 [[.,.],[[[.,.],.],[[.,.],.]]] => 12 [[.,.],[[.,[.,[.,.]]],[.,.]]] => 13 [[.,.],[[.,[[.,.],.]],[.,.]]] => 13 [[.,.],[[[.,.],[.,.]],[.,.]]] => 12 [[.,.],[[[.,[.,.]],.],[.,.]]] => 13 [[.,.],[[[[.,.],.],.],[.,.]]] => 13 [[.,.],[[.,[.,[.,[.,.]]]],.]] => 16 [[.,.],[[.,[.,[[.,.],.]]],.]] => 16 [[.,.],[[.,[[.,.],[.,.]]],.]] => 15 [[.,.],[[.,[[.,[.,.]],.]],.]] => 16 [[.,.],[[.,[[[.,.],.],.]],.]] => 16 [[.,.],[[[.,.],[.,[.,.]]],.]] => 14 [[.,.],[[[.,.],[[.,.],.]],.]] => 14 [[.,.],[[[.,[.,.]],[.,.]],.]] => 14 [[.,.],[[[[.,.],.],[.,.]],.]] => 14 [[.,.],[[[.,[.,[.,.]]],.],.]] => 16 [[.,.],[[[.,[[.,.],.]],.],.]] => 16 [[.,.],[[[[.,.],[.,.]],.],.]] => 15 [[.,.],[[[[.,[.,.]],.],.],.]] => 16 [[.,.],[[[[[.,.],.],.],.],.]] => 16 [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 13 [[.,[.,.]],[.,[.,[[.,.],.]]]] => 13 [[.,[.,.]],[.,[[.,.],[.,.]]]] => 12 [[.,[.,.]],[.,[[.,[.,.]],.]]] => 13 [[.,[.,.]],[.,[[[.,.],.],.]]] => 13 [[.,[.,.]],[[.,.],[.,[.,.]]]] => 11 [[.,[.,.]],[[.,.],[[.,.],.]]] => 11 [[.,[.,.]],[[.,[.,.]],[.,.]]] => 11 [[.,[.,.]],[[[.,.],.],[.,.]]] => 11 [[.,[.,.]],[[.,[.,[.,.]]],.]] => 13 [[.,[.,.]],[[.,[[.,.],.]],.]] => 13 [[.,[.,.]],[[[.,.],[.,.]],.]] => 12 [[.,[.,.]],[[[.,[.,.]],.],.]] => 13 [[.,[.,.]],[[[[.,.],.],.],.]] => 13 [[[.,.],.],[.,[.,[.,[.,.]]]]] => 13 [[[.,.],.],[.,[.,[[.,.],.]]]] => 13 [[[.,.],.],[.,[[.,.],[.,.]]]] => 12 [[[.,.],.],[.,[[.,[.,.]],.]]] => 13 [[[.,.],.],[.,[[[.,.],.],.]]] => 13 [[[.,.],.],[[.,.],[.,[.,.]]]] => 11 [[[.,.],.],[[.,.],[[.,.],.]]] => 11 [[[.,.],.],[[.,[.,.]],[.,.]]] => 11 [[[.,.],.],[[[.,.],.],[.,.]]] => 11 [[[.,.],.],[[.,[.,[.,.]]],.]] => 13 [[[.,.],.],[[.,[[.,.],.]],.]] => 13 [[[.,.],.],[[[.,.],[.,.]],.]] => 12 [[[.,.],.],[[[.,[.,.]],.],.]] => 13 [[[.,.],.],[[[[.,.],.],.],.]] => 13 [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 12 [[.,[.,[.,.]]],[.,[[.,.],.]]] => 12 [[.,[.,[.,.]]],[[.,.],[.,.]]] => 11 [[.,[.,[.,.]]],[[.,[.,.]],.]] => 12 [[.,[.,[.,.]]],[[[.,.],.],.]] => 12 [[.,[[.,.],.]],[.,[.,[.,.]]]] => 12 [[.,[[.,.],.]],[.,[[.,.],.]]] => 12 [[.,[[.,.],.]],[[.,.],[.,.]]] => 11 [[.,[[.,.],.]],[[.,[.,.]],.]] => 12 [[.,[[.,.],.]],[[[.,.],.],.]] => 12 [[[.,.],[.,.]],[.,[.,[.,.]]]] => 11 [[[.,.],[.,.]],[.,[[.,.],.]]] => 11 [[[.,.],[.,.]],[[.,.],[.,.]]] => 10 [[[.,.],[.,.]],[[.,[.,.]],.]] => 11 [[[.,.],[.,.]],[[[.,.],.],.]] => 11 [[[.,[.,.]],.],[.,[.,[.,.]]]] => 12 [[[.,[.,.]],.],[.,[[.,.],.]]] => 12 [[[.,[.,.]],.],[[.,.],[.,.]]] => 11 [[[.,[.,.]],.],[[.,[.,.]],.]] => 12 [[[.,[.,.]],.],[[[.,.],.],.]] => 12 [[[[.,.],.],.],[.,[.,[.,.]]]] => 12 [[[[.,.],.],.],[.,[[.,.],.]]] => 12 [[[[.,.],.],.],[[.,.],[.,.]]] => 11 [[[[.,.],.],.],[[.,[.,.]],.]] => 12 [[[[.,.],.],.],[[[.,.],.],.]] => 12 [[.,[.,[.,[.,.]]]],[.,[.,.]]] => 13 [[.,[.,[.,[.,.]]]],[[.,.],.]] => 13 [[.,[.,[[.,.],.]]],[.,[.,.]]] => 13 [[.,[.,[[.,.],.]]],[[.,.],.]] => 13 [[.,[[.,.],[.,.]]],[.,[.,.]]] => 12 [[.,[[.,.],[.,.]]],[[.,.],.]] => 12 [[.,[[.,[.,.]],.]],[.,[.,.]]] => 13 [[.,[[.,[.,.]],.]],[[.,.],.]] => 13 [[.,[[[.,.],.],.]],[.,[.,.]]] => 13 [[.,[[[.,.],.],.]],[[.,.],.]] => 13 [[[.,.],[.,[.,.]]],[.,[.,.]]] => 11 [[[.,.],[.,[.,.]]],[[.,.],.]] => 11 [[[.,.],[[.,.],.]],[.,[.,.]]] => 11 [[[.,.],[[.,.],.]],[[.,.],.]] => 11 [[[.,[.,.]],[.,.]],[.,[.,.]]] => 11 [[[.,[.,.]],[.,.]],[[.,.],.]] => 11 [[[[.,.],.],[.,.]],[.,[.,.]]] => 11 [[[[.,.],.],[.,.]],[[.,.],.]] => 11 [[[.,[.,[.,.]]],.],[.,[.,.]]] => 13 [[[.,[.,[.,.]]],.],[[.,.],.]] => 13 [[[.,[[.,.],.]],.],[.,[.,.]]] => 13 [[[.,[[.,.],.]],.],[[.,.],.]] => 13 [[[[.,.],[.,.]],.],[.,[.,.]]] => 12 [[[[.,.],[.,.]],.],[[.,.],.]] => 12 [[[[.,[.,.]],.],.],[.,[.,.]]] => 13 [[[[.,[.,.]],.],.],[[.,.],.]] => 13 [[[[[.,.],.],.],.],[.,[.,.]]] => 13 [[[[[.,.],.],.],.],[[.,.],.]] => 13 [[.,[.,[.,[.,[.,.]]]]],[.,.]] => 16 [[.,[.,[.,[[.,.],.]]]],[.,.]] => 16 [[.,[.,[[.,.],[.,.]]]],[.,.]] => 15 [[.,[.,[[.,[.,.]],.]]],[.,.]] => 16 [[.,[.,[[[.,.],.],.]]],[.,.]] => 16 [[.,[[.,.],[.,[.,.]]]],[.,.]] => 14 [[.,[[.,.],[[.,.],.]]],[.,.]] => 14 [[.,[[.,[.,.]],[.,.]]],[.,.]] => 14 [[.,[[[.,.],.],[.,.]]],[.,.]] => 14 [[.,[[.,[.,[.,.]]],.]],[.,.]] => 16 [[.,[[.,[[.,.],.]],.]],[.,.]] => 16 [[.,[[[.,.],[.,.]],.]],[.,.]] => 15 [[.,[[[.,[.,.]],.],.]],[.,.]] => 16 [[.,[[[[.,.],.],.],.]],[.,.]] => 16 [[[.,.],[.,[.,[.,.]]]],[.,.]] => 13 [[[.,.],[.,[[.,.],.]]],[.,.]] => 13 [[[.,.],[[.,.],[.,.]]],[.,.]] => 12 [[[.,.],[[.,[.,.]],.]],[.,.]] => 13 [[[.,.],[[[.,.],.],.]],[.,.]] => 13 [[[.,[.,.]],[.,[.,.]]],[.,.]] => 12 [[[.,[.,.]],[[.,.],.]],[.,.]] => 12 [[[[.,.],.],[.,[.,.]]],[.,.]] => 12 [[[[.,.],.],[[.,.],.]],[.,.]] => 12 [[[.,[.,[.,.]]],[.,.]],[.,.]] => 13 [[[.,[[.,.],.]],[.,.]],[.,.]] => 13 [[[[.,.],[.,.]],[.,.]],[.,.]] => 12 [[[[.,[.,.]],.],[.,.]],[.,.]] => 13 [[[[[.,.],.],.],[.,.]],[.,.]] => 13 [[[.,[.,[.,[.,.]]]],.],[.,.]] => 16 [[[.,[.,[[.,.],.]]],.],[.,.]] => 16 [[[.,[[.,.],[.,.]]],.],[.,.]] => 15 [[[.,[[.,[.,.]],.]],.],[.,.]] => 16 [[[.,[[[.,.],.],.]],.],[.,.]] => 16 [[[[.,.],[.,[.,.]]],.],[.,.]] => 14 [[[[.,.],[[.,.],.]],.],[.,.]] => 14 [[[[.,[.,.]],[.,.]],.],[.,.]] => 14 [[[[[.,.],.],[.,.]],.],[.,.]] => 14 [[[[.,[.,[.,.]]],.],.],[.,.]] => 16 [[[[.,[[.,.],.]],.],.],[.,.]] => 16 [[[[[.,.],[.,.]],.],.],[.,.]] => 15 [[[[[.,[.,.]],.],.],.],[.,.]] => 16 [[[[[[.,.],.],.],.],.],[.,.]] => 16 [[.,[.,[.,[.,[.,[.,.]]]]]],.] => 21 [[.,[.,[.,[.,[[.,.],.]]]]],.] => 21 [[.,[.,[.,[[.,.],[.,.]]]]],.] => 20 [[.,[.,[.,[[.,[.,.]],.]]]],.] => 21 [[.,[.,[.,[[[.,.],.],.]]]],.] => 21 [[.,[.,[[.,.],[.,[.,.]]]]],.] => 19 [[.,[.,[[.,.],[[.,.],.]]]],.] => 19 [[.,[.,[[.,[.,.]],[.,.]]]],.] => 19 [[.,[.,[[[.,.],.],[.,.]]]],.] => 19 [[.,[.,[[.,[.,[.,.]]],.]]],.] => 21 [[.,[.,[[.,[[.,.],.]],.]]],.] => 21 [[.,[.,[[[.,.],[.,.]],.]]],.] => 20 [[.,[.,[[[.,[.,.]],.],.]]],.] => 21 [[.,[.,[[[[.,.],.],.],.]]],.] => 21 [[.,[[.,.],[.,[.,[.,.]]]]],.] => 18 [[.,[[.,.],[.,[[.,.],.]]]],.] => 18 [[.,[[.,.],[[.,.],[.,.]]]],.] => 17 [[.,[[.,.],[[.,[.,.]],.]]],.] => 18 [[.,[[.,.],[[[.,.],.],.]]],.] => 18 [[.,[[.,[.,.]],[.,[.,.]]]],.] => 17 [[.,[[.,[.,.]],[[.,.],.]]],.] => 17 [[.,[[[.,.],.],[.,[.,.]]]],.] => 17 [[.,[[[.,.],.],[[.,.],.]]],.] => 17 [[.,[[.,[.,[.,.]]],[.,.]]],.] => 18 [[.,[[.,[[.,.],.]],[.,.]]],.] => 18 [[.,[[[.,.],[.,.]],[.,.]]],.] => 17 [[.,[[[.,[.,.]],.],[.,.]]],.] => 18 [[.,[[[[.,.],.],.],[.,.]]],.] => 18 [[.,[[.,[.,[.,[.,.]]]],.]],.] => 21 [[.,[[.,[.,[[.,.],.]]],.]],.] => 21 [[.,[[.,[[.,.],[.,.]]],.]],.] => 20 [[.,[[.,[[.,[.,.]],.]],.]],.] => 21 [[.,[[.,[[[.,.],.],.]],.]],.] => 21 [[.,[[[.,.],[.,[.,.]]],.]],.] => 19 [[.,[[[.,.],[[.,.],.]],.]],.] => 19 [[.,[[[.,[.,.]],[.,.]],.]],.] => 19 [[.,[[[[.,.],.],[.,.]],.]],.] => 19 [[.,[[[.,[.,[.,.]]],.],.]],.] => 21 [[.,[[[.,[[.,.],.]],.],.]],.] => 21 [[.,[[[[.,.],[.,.]],.],.]],.] => 20 [[.,[[[[.,[.,.]],.],.],.]],.] => 21 [[.,[[[[[.,.],.],.],.],.]],.] => 21 [[[.,.],[.,[.,[.,[.,.]]]]],.] => 17 [[[.,.],[.,[.,[[.,.],.]]]],.] => 17 [[[.,.],[.,[[.,.],[.,.]]]],.] => 16 [[[.,.],[.,[[.,[.,.]],.]]],.] => 17 [[[.,.],[.,[[[.,.],.],.]]],.] => 17 [[[.,.],[[.,.],[.,[.,.]]]],.] => 15 [[[.,.],[[.,.],[[.,.],.]]],.] => 15 [[[.,.],[[.,[.,.]],[.,.]]],.] => 15 [[[.,.],[[[.,.],.],[.,.]]],.] => 15 [[[.,.],[[.,[.,[.,.]]],.]],.] => 17 [[[.,.],[[.,[[.,.],.]],.]],.] => 17 [[[.,.],[[[.,.],[.,.]],.]],.] => 16 [[[.,.],[[[.,[.,.]],.],.]],.] => 17 [[[.,.],[[[[.,.],.],.],.]],.] => 17 [[[.,[.,.]],[.,[.,[.,.]]]],.] => 15 [[[.,[.,.]],[.,[[.,.],.]]],.] => 15 [[[.,[.,.]],[[.,.],[.,.]]],.] => 14 [[[.,[.,.]],[[.,[.,.]],.]],.] => 15 [[[.,[.,.]],[[[.,.],.],.]],.] => 15 [[[[.,.],.],[.,[.,[.,.]]]],.] => 15 [[[[.,.],.],[.,[[.,.],.]]],.] => 15 [[[[.,.],.],[[.,.],[.,.]]],.] => 14 [[[[.,.],.],[[.,[.,.]],.]],.] => 15 [[[[.,.],.],[[[.,.],.],.]],.] => 15 [[[.,[.,[.,.]]],[.,[.,.]]],.] => 15 [[[.,[.,[.,.]]],[[.,.],.]],.] => 15 [[[.,[[.,.],.]],[.,[.,.]]],.] => 15 [[[.,[[.,.],.]],[[.,.],.]],.] => 15 [[[[.,.],[.,.]],[.,[.,.]]],.] => 14 [[[[.,.],[.,.]],[[.,.],.]],.] => 14 [[[[.,[.,.]],.],[.,[.,.]]],.] => 15 [[[[.,[.,.]],.],[[.,.],.]],.] => 15 [[[[[.,.],.],.],[.,[.,.]]],.] => 15 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[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => 24 [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => 25 [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => 25 [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => 24 [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => 25 [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => 25 [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => 28 [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => 28 [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => 27 [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => 28 [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => 28 [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => 26 [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => 26 [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => 26 [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => 26 [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => 28 [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => 28 [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => 27 [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => 28 [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => 28 [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => 24 [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => 24 [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => 23 [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => 24 [.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => 24 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[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => 26 [.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => 26 [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => 28 [.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => 28 [.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => 27 [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => 28 [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => 28 [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => 25 [.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => 25 [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => 24 [.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => 25 [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => 25 [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => 24 [.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => 24 [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => 24 [.,[.,[[[[.,.],.],[[.,.],.]],.]]] => 24 [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => 25 [.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => 25 [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => 24 [.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => 25 [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => 25 [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => 28 [.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => 28 [.,[.,[[[.,[[.,.],[.,.]]],.],.]]] => 27 [.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => 28 [.,[.,[[[.,[[[.,.],.],.]],.],.]]] => 28 [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => 26 [.,[.,[[[[.,.],[[.,.],.]],.],.]]] => 26 [.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => 26 [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => 26 [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => 28 [.,[.,[[[[.,[[.,.],.]],.],.],.]]] => 28 [.,[.,[[[[[.,.],[.,.]],.],.],.]]] => 27 [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => 28 [.,[.,[[[[[[.,.],.],.],.],.],.]]] => 28 [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => 23 [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => 23 [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => 22 [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => 23 [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => 23 [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => 21 [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => 21 [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => 21 [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => 21 [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => 23 [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => 23 [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => 22 [.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => 23 [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => 23 [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => 20 [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => 20 [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => 19 [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => 20 [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => 20 [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => 19 [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => 19 [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => 19 [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => 19 [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => 20 [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => 20 [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => 19 [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => 20 [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => 20 [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => 23 [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => 23 [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => 22 [.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => 23 [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => 23 [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => 21 [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => 21 [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => 21 [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => 21 [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => 23 [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => 23 [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => 22 [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => 23 [.,[[.,.],[[[[[.,.],.],.],.],.]]] => 23 [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => 20 [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => 20 [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => 19 [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => 20 [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => 20 [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => 18 [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => 18 [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => 18 [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => 18 [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => 20 [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => 20 [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => 19 [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => 20 [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => 20 [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => 20 [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => 20 [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => 19 [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => 20 [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => 20 [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => 18 [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => 18 [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => 18 [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => 18 [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => 20 [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => 20 [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => 19 [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => 20 [.,[[[.,.],.],[[[[.,.],.],.],.]]] => 20 [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => 19 [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => 19 [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => 18 [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => 19 [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => 19 [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => 19 [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => 19 [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => 18 [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => 19 [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => 19 [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => 18 [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => 18 [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => 17 [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => 18 [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => 18 [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => 19 [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => 19 [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => 18 [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => 19 [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => 19 [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => 19 [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => 19 [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => 18 [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => 19 [.,[[[[.,.],.],.],[[[.,.],.],.]]] => 19 [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => 20 [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => 20 [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => 20 [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => 20 [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => 19 [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => 19 [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => 20 [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => 20 [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => 20 [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => 20 [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => 18 [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => 18 [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => 18 [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => 18 [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => 18 [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => 18 [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => 18 [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => 18 [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => 20 [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => 20 [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => 20 [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => 20 [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => 19 [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => 19 [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => 20 [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => 20 [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => 20 [.,[[[[[.,.],.],.],.],[[.,.],.]]] => 20 [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => 23 [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => 23 [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => 22 [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => 23 [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => 23 [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => 21 [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => 21 [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => 21 [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => 21 [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => 23 [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => 23 [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => 22 [.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => 23 [.,[[.,[[[[.,.],.],.],.]],[.,.]]] => 23 [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => 20 [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => 20 [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => 19 [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => 20 [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => 20 [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => 19 [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => 19 [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => 19 [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => 19 [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => 20 [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => 20 [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => 19 [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => 20 [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => 20 [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => 23 [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => 23 [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => 22 [.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => 23 [.,[[[.,[[[.,.],.],.]],.],[.,.]]] => 23 [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => 21 [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => 21 [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => 21 [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => 21 [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => 23 [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => 23 [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => 22 [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => 23 [.,[[[[[[.,.],.],.],.],.],[.,.]]] => 23 [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => 28 [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => 28 [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => 27 [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => 28 [.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => 28 [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => 26 [.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => 26 [.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => 26 [.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => 26 [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => 28 [.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => 28 [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => 27 [.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => 28 [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => 28 [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => 25 [.,[[.,[[.,.],[.,[[.,.],.]]]],.]] => 25 [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => 24 [.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => 25 [.,[[.,[[.,.],[[[.,.],.],.]]],.]] => 25 [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => 24 [.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => 24 [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => 24 [.,[[.,[[[.,.],.],[[.,.],.]]],.]] => 24 [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => 25 [.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => 25 [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => 24 [.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => 25 [.,[[.,[[[[.,.],.],.],[.,.]]],.]] => 25 [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => 28 [.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => 28 [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => 27 [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => 28 [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => 28 [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => 26 [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => 26 [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => 26 [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => 26 [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => 28 [.,[[.,[[[.,[[.,.],.]],.],.]],.]] => 28 [.,[[.,[[[[.,.],[.,.]],.],.]],.]] => 27 [.,[[.,[[[[.,[.,.]],.],.],.]],.]] => 28 [.,[[.,[[[[[.,.],.],.],.],.]],.]] => 28 [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => 24 [.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => 24 [.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => 23 [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => 24 [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => 24 [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => 22 [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => 22 [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => 22 [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => 22 [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => 24 [.,[[[.,.],[[.,[[.,.],.]],.]],.]] => 24 [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => 23 [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => 24 [.,[[[.,.],[[[[.,.],.],.],.]],.]] => 24 [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => 22 [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => 22 [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => 21 [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => 22 [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => 22 [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => 22 [.,[[[[.,.],.],[.,[[.,.],.]]],.]] => 22 [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => 21 [.,[[[[.,.],.],[[.,[.,.]],.]],.]] => 22 [.,[[[[.,.],.],[[[.,.],.],.]],.]] => 22 [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => 22 [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => 22 [.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => 22 [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => 22 [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => 21 [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => 21 [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => 22 [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => 22 [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => 22 [.,[[[[[.,.],.],.],[[.,.],.]],.]] => 22 [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => 24 [.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => 24 [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => 23 [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => 24 [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => 24 [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => 22 [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => 22 [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => 22 [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => 22 [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => 24 [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => 24 [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => 23 [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => 24 [.,[[[[[[.,.],.],.],.],[.,.]],.]] => 24 [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => 28 [.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => 28 [.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => 27 [.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => 28 [.,[[[.,[.,[[[.,.],.],.]]],.],.]] => 28 [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => 26 [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => 26 [.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => 26 [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => 26 [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => 28 [.,[[[.,[[.,[[.,.],.]],.]],.],.]] => 28 [.,[[[.,[[[.,.],[.,.]],.]],.],.]] => 27 [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => 28 [.,[[[.,[[[[.,.],.],.],.]],.],.]] => 28 [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => 25 [.,[[[[.,.],[.,[[.,.],.]]],.],.]] => 25 [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => 24 [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => 25 [.,[[[[.,.],[[[.,.],.],.]],.],.]] => 25 [.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => 24 [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => 24 [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => 24 [.,[[[[[.,.],.],[[.,.],.]],.],.]] => 24 [.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => 25 [.,[[[[.,[[.,.],.]],[.,.]],.],.]] => 25 [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => 24 [.,[[[[[.,[.,.]],.],[.,.]],.],.]] => 25 [.,[[[[[[.,.],.],.],[.,.]],.],.]] => 25 [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => 28 [.,[[[[.,[.,[[.,.],.]]],.],.],.]] => 28 [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => 27 [.,[[[[.,[[.,[.,.]],.]],.],.],.]] => 28 [.,[[[[.,[[[.,.],.],.]],.],.],.]] => 28 [.,[[[[[.,.],[.,[.,.]]],.],.],.]] => 26 [.,[[[[[.,.],[[.,.],.]],.],.],.]] => 26 [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => 26 [.,[[[[[[.,.],.],[.,.]],.],.],.]] => 26 [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => 28 [.,[[[[[.,[[.,.],.]],.],.],.],.]] => 28 [.,[[[[[[.,.],[.,.]],.],.],.],.]] => 27 [.,[[[[[[.,[.,.]],.],.],.],.],.]] => 28 [.,[[[[[[[.,.],.],.],.],.],.],.]] => 28 [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => 22 [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => 22 [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => 21 [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => 22 [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => 22 [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => 20 [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => 20 [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => 20 [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => 20 [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => 22 [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => 22 [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => 21 [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => 22 [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => 22 [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => 19 [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => 19 [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => 18 [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => 19 [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => 19 [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => 18 [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => 18 [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => 18 [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => 18 [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => 19 [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => 19 [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => 18 [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => 19 [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => 19 [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => 22 [[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => 22 [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => 21 [[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => 22 [[.,.],[.,[[.,[[[.,.],.],.]],.]]] => 22 [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => 20 [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => 20 [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => 20 [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => 20 [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => 22 [[.,.],[.,[[[.,[[.,.],.]],.],.]]] => 22 [[.,.],[.,[[[[.,.],[.,.]],.],.]]] => 21 [[.,.],[.,[[[[.,[.,.]],.],.],.]]] => 22 [[.,.],[.,[[[[[.,.],.],.],.],.]]] => 22 [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => 18 [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => 18 [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => 17 [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => 18 [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => 18 [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => 16 [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 16 [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => 16 [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => 16 [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => 18 [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => 18 [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => 17 [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => 18 [[.,.],[[.,.],[[[[.,.],.],.],.]]] => 18 [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => 16 [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => 16 [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => 15 [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => 16 [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => 16 [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => 16 [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => 16 [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => 15 [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => 16 [[.,.],[[[.,.],.],[[[.,.],.],.]]] => 16 [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => 16 [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => 16 [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => 16 [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => 16 [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => 15 [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => 15 [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => 16 [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => 16 [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => 16 [[.,.],[[[[.,.],.],.],[[.,.],.]]] => 16 [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => 18 [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => 18 [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => 17 [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => 18 [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => 18 [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => 16 [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => 16 [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => 16 [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => 16 [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => 18 [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => 18 [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => 17 [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => 18 [[.,.],[[[[[.,.],.],.],.],[.,.]]] => 18 [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => 22 [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => 22 [[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => 21 [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => 22 [[.,.],[[.,[.,[[[.,.],.],.]]],.]] => 22 [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => 20 [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => 20 [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => 20 [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => 20 [[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => 22 [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => 22 [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => 21 [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => 22 [[.,.],[[.,[[[[.,.],.],.],.]],.]] => 22 [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => 19 [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => 19 [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => 18 [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => 19 [[.,.],[[[.,.],[[[.,.],.],.]],.]] => 19 [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => 18 [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => 18 [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => 18 [[.,.],[[[[.,.],.],[[.,.],.]],.]] => 18 [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => 19 [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => 19 [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => 18 [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => 19 [[.,.],[[[[[.,.],.],.],[.,.]],.]] => 19 [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => 22 [[.,.],[[[.,[.,[[.,.],.]]],.],.]] => 22 [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => 21 [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => 22 [[.,.],[[[.,[[[.,.],.],.]],.],.]] => 22 [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => 20 [[.,.],[[[[.,.],[[.,.],.]],.],.]] => 20 [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => 20 [[.,.],[[[[[.,.],.],[.,.]],.],.]] => 20 [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => 22 [[.,.],[[[[.,[[.,.],.]],.],.],.]] => 22 [[.,.],[[[[[.,.],[.,.]],.],.],.]] => 21 [[.,.],[[[[[.,[.,.]],.],.],.],.]] => 22 [[.,.],[[[[[[.,.],.],.],.],.],.]] => 22 [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => 18 [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => 18 [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => 17 [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => 18 [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => 18 [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => 16 [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => 16 [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => 16 [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => 16 [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => 18 [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => 18 [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => 17 [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => 18 [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => 18 ----------------------------------------------------------------------------- Created: Feb 22, 2016 at 15:54 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Aug 10, 2016 at 11:38 by Christian Stump