***************************************************************************** * 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: St000568 ----------------------------------------------------------------------------- Collection: Binary trees ----------------------------------------------------------------------------- Description: The hook number of a binary tree. A hook of a binary tree is a vertex together with is left- and its right-most branch. Then there is a unique decomposition of the tree into hooks and the hook number is the number of hooks in this decomposition. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def statistic(T): return T.hook_number() ----------------------------------------------------------------------------- Statistic values: [.,[.,.]] => 1 [[.,.],.] => 1 [.,[.,[.,.]]] => 1 [.,[[.,.],.]] => 2 [[.,.],[.,.]] => 1 [[.,[.,.]],.] => 2 [[[.,.],.],.] => 1 [.,[.,[.,[.,.]]]] => 1 [.,[.,[[.,.],.]]] => 2 [.,[[.,.],[.,.]]] => 2 [.,[[.,[.,.]],.]] => 2 [.,[[[.,.],.],.]] => 2 [[.,.],[.,[.,.]]] => 1 [[.,.],[[.,.],.]] => 2 [[.,[.,.]],[.,.]] => 2 [[[.,.],.],[.,.]] => 1 [[.,[.,[.,.]]],.] => 2 [[.,[[.,.],.]],.] => 2 [[[.,.],[.,.]],.] => 2 [[[.,[.,.]],.],.] => 2 [[[[.,.],.],.],.] => 1 [.,[.,[.,[.,[.,.]]]]] => 1 [.,[.,[.,[[.,.],.]]]] => 2 [.,[.,[[.,.],[.,.]]]] => 2 [.,[.,[[.,[.,.]],.]]] => 2 [.,[.,[[[.,.],.],.]]] => 2 [.,[[.,.],[.,[.,.]]]] => 2 [.,[[.,.],[[.,.],.]]] => 3 [.,[[.,[.,.]],[.,.]]] => 2 [.,[[[.,.],.],[.,.]]] => 2 [.,[[.,[.,[.,.]]],.]] => 2 [.,[[.,[[.,.],.]],.]] => 3 [.,[[[.,.],[.,.]],.]] => 2 [.,[[[.,[.,.]],.],.]] => 3 [.,[[[[.,.],.],.],.]] => 2 [[.,.],[.,[.,[.,.]]]] => 1 [[.,.],[.,[[.,.],.]]] => 2 [[.,.],[[.,.],[.,.]]] => 2 [[.,.],[[.,[.,.]],.]] => 2 [[.,.],[[[.,.],.],.]] => 2 [[.,[.,.]],[.,[.,.]]] => 2 [[.,[.,.]],[[.,.],.]] => 3 [[[.,.],.],[.,[.,.]]] => 1 [[[.,.],.],[[.,.],.]] => 2 [[.,[.,[.,.]]],[.,.]] => 2 [[.,[[.,.],.]],[.,.]] => 2 [[[.,.],[.,.]],[.,.]] => 2 [[[.,[.,.]],.],[.,.]] => 2 [[[[.,.],.],.],[.,.]] => 1 [[.,[.,[.,[.,.]]]],.] => 2 [[.,[.,[[.,.],.]]],.] => 3 [[.,[[.,.],[.,.]]],.] => 2 [[.,[[.,[.,.]],.]],.] => 3 [[.,[[[.,.],.],.]],.] => 2 [[[.,.],[.,[.,.]]],.] => 2 [[[.,.],[[.,.],.]],.] => 2 [[[.,[.,.]],[.,.]],.] => 3 [[[[.,.],.],[.,.]],.] => 2 [[[.,[.,[.,.]]],.],.] => 2 [[[.,[[.,.],.]],.],.] => 2 [[[[.,.],[.,.]],.],.] => 2 [[[[.,[.,.]],.],.],.] => 2 [[[[[.,.],.],.],.],.] => 1 [.,[.,[.,[.,[.,[.,.]]]]]] => 1 [.,[.,[.,[.,[[.,.],.]]]]] => 2 [.,[.,[.,[[.,.],[.,.]]]]] => 2 [.,[.,[.,[[.,[.,.]],.]]]] => 2 [.,[.,[.,[[[.,.],.],.]]]] => 2 [.,[.,[[.,.],[.,[.,.]]]]] => 2 [.,[.,[[.,.],[[.,.],.]]]] => 3 [.,[.,[[.,[.,.]],[.,.]]]] => 2 [.,[.,[[[.,.],.],[.,.]]]] => 2 [.,[.,[[.,[.,[.,.]]],.]]] => 2 [.,[.,[[.,[[.,.],.]],.]]] => 3 [.,[.,[[[.,.],[.,.]],.]]] => 2 [.,[.,[[[.,[.,.]],.],.]]] => 3 [.,[.,[[[[.,.],.],.],.]]] => 2 [.,[[.,.],[.,[.,[.,.]]]]] => 2 [.,[[.,.],[.,[[.,.],.]]]] => 3 [.,[[.,.],[[.,.],[.,.]]]] => 3 [.,[[.,.],[[.,[.,.]],.]]] => 3 [.,[[.,.],[[[.,.],.],.]]] => 3 [.,[[.,[.,.]],[.,[.,.]]]] => 2 [.,[[.,[.,.]],[[.,.],.]]] => 3 [.,[[[.,.],.],[.,[.,.]]]] => 2 [.,[[[.,.],.],[[.,.],.]]] => 3 [.,[[.,[.,[.,.]]],[.,.]]] => 2 [.,[[.,[[.,.],.]],[.,.]]] => 3 [.,[[[.,.],[.,.]],[.,.]]] => 2 [.,[[[.,[.,.]],.],[.,.]]] => 3 [.,[[[[.,.],.],.],[.,.]]] => 2 [.,[[.,[.,[.,[.,.]]]],.]] => 2 [.,[[.,[.,[[.,.],.]]],.]] => 3 [.,[[.,[[.,.],[.,.]]],.]] => 3 [.,[[.,[[.,[.,.]],.]],.]] => 3 [.,[[.,[[[.,.],.],.]],.]] => 3 [.,[[[.,.],[.,[.,.]]],.]] => 2 [.,[[[.,.],[[.,.],.]],.]] => 3 [.,[[[.,[.,.]],[.,.]],.]] => 3 [.,[[[[.,.],.],[.,.]],.]] => 2 [.,[[[.,[.,[.,.]]],.],.]] => 3 [.,[[[.,[[.,.],.]],.],.]] => 3 [.,[[[[.,.],[.,.]],.],.]] => 3 [.,[[[[.,[.,.]],.],.],.]] => 3 [.,[[[[[.,.],.],.],.],.]] => 2 [[.,.],[.,[.,[.,[.,.]]]]] => 1 [[.,.],[.,[.,[[.,.],.]]]] => 2 [[.,.],[.,[[.,.],[.,.]]]] => 2 [[.,.],[.,[[.,[.,.]],.]]] => 2 [[.,.],[.,[[[.,.],.],.]]] => 2 [[.,.],[[.,.],[.,[.,.]]]] => 2 [[.,.],[[.,.],[[.,.],.]]] => 3 [[.,.],[[.,[.,.]],[.,.]]] => 2 [[.,.],[[[.,.],.],[.,.]]] => 2 [[.,.],[[.,[.,[.,.]]],.]] => 2 [[.,.],[[.,[[.,.],.]],.]] => 3 [[.,.],[[[.,.],[.,.]],.]] => 2 [[.,.],[[[.,[.,.]],.],.]] => 3 [[.,.],[[[[.,.],.],.],.]] => 2 [[.,[.,.]],[.,[.,[.,.]]]] => 2 [[.,[.,.]],[.,[[.,.],.]]] => 3 [[.,[.,.]],[[.,.],[.,.]]] => 3 [[.,[.,.]],[[.,[.,.]],.]] => 3 [[.,[.,.]],[[[.,.],.],.]] => 3 [[[.,.],.],[.,[.,[.,.]]]] => 1 [[[.,.],.],[.,[[.,.],.]]] => 2 [[[.,.],.],[[.,.],[.,.]]] => 2 [[[.,.],.],[[.,[.,.]],.]] => 2 [[[.,.],.],[[[.,.],.],.]] => 2 [[.,[.,[.,.]]],[.,[.,.]]] => 2 [[.,[.,[.,.]]],[[.,.],.]] => 3 [[.,[[.,.],.]],[.,[.,.]]] => 2 [[.,[[.,.],.]],[[.,.],.]] => 3 [[[.,.],[.,.]],[.,[.,.]]] => 2 [[[.,.],[.,.]],[[.,.],.]] => 3 [[[.,[.,.]],.],[.,[.,.]]] => 2 [[[.,[.,.]],.],[[.,.],.]] => 3 [[[[.,.],.],.],[.,[.,.]]] => 1 [[[[.,.],.],.],[[.,.],.]] => 2 [[.,[.,[.,[.,.]]]],[.,.]] => 2 [[.,[.,[[.,.],.]]],[.,.]] => 3 [[.,[[.,.],[.,.]]],[.,.]] => 2 [[.,[[.,[.,.]],.]],[.,.]] => 3 [[.,[[[.,.],.],.]],[.,.]] => 2 [[[.,.],[.,[.,.]]],[.,.]] => 2 [[[.,.],[[.,.],.]],[.,.]] => 2 [[[.,[.,.]],[.,.]],[.,.]] => 3 [[[[.,.],.],[.,.]],[.,.]] => 2 [[[.,[.,[.,.]]],.],[.,.]] => 2 [[[.,[[.,.],.]],.],[.,.]] => 2 [[[[.,.],[.,.]],.],[.,.]] => 2 [[[[.,[.,.]],.],.],[.,.]] => 2 [[[[[.,.],.],.],.],[.,.]] => 1 [[.,[.,[.,[.,[.,.]]]]],.] => 2 [[.,[.,[.,[[.,.],.]]]],.] => 3 [[.,[.,[[.,.],[.,.]]]],.] => 3 [[.,[.,[[.,[.,.]],.]]],.] => 3 [[.,[.,[[[.,.],.],.]]],.] => 3 [[.,[[.,.],[.,[.,.]]]],.] => 2 [[.,[[.,.],[[.,.],.]]],.] => 3 [[.,[[.,[.,.]],[.,.]]],.] => 3 [[.,[[[.,.],.],[.,.]]],.] => 2 [[.,[[.,[.,[.,.]]],.]],.] => 3 [[.,[[.,[[.,.],.]],.]],.] => 3 [[.,[[[.,.],[.,.]],.]],.] => 3 [[.,[[[.,[.,.]],.],.]],.] => 3 [[.,[[[[.,.],.],.],.]],.] => 2 [[[.,.],[.,[.,[.,.]]]],.] => 2 [[[.,.],[.,[[.,.],.]]],.] => 3 [[[.,.],[[.,.],[.,.]]],.] => 2 [[[.,.],[[.,[.,.]],.]],.] => 3 [[[.,.],[[[.,.],.],.]],.] => 2 [[[.,[.,.]],[.,[.,.]]],.] => 3 [[[.,[.,.]],[[.,.],.]],.] => 3 [[[[.,.],.],[.,[.,.]]],.] => 2 [[[[.,.],.],[[.,.],.]],.] => 2 [[[.,[.,[.,.]]],[.,.]],.] => 3 [[[.,[[.,.],.]],[.,.]],.] => 3 [[[[.,.],[.,.]],[.,.]],.] => 3 [[[[.,[.,.]],.],[.,.]],.] => 3 [[[[[.,.],.],.],[.,.]],.] => 2 [[[.,[.,[.,[.,.]]]],.],.] => 2 [[[.,[.,[[.,.],.]]],.],.] => 3 [[[.,[[.,.],[.,.]]],.],.] => 2 [[[.,[[.,[.,.]],.]],.],.] => 3 [[[.,[[[.,.],.],.]],.],.] => 2 [[[[.,.],[.,[.,.]]],.],.] => 2 [[[[.,.],[[.,.],.]],.],.] => 2 [[[[.,[.,.]],[.,.]],.],.] => 3 [[[[[.,.],.],[.,.]],.],.] => 2 [[[[.,[.,[.,.]]],.],.],.] => 2 [[[[.,[[.,.],.]],.],.],.] => 2 [[[[[.,.],[.,.]],.],.],.] => 2 [[[[[.,[.,.]],.],.],.],.] => 2 [[[[[[.,.],.],.],.],.],.] => 1 [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 1 [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 2 [.,[.,[.,[.,[[.,.],[.,.]]]]]] => 2 [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 2 [.,[.,[.,[.,[[[.,.],.],.]]]]] => 2 [.,[.,[.,[[.,.],[.,[.,.]]]]]] => 2 [.,[.,[.,[[.,.],[[.,.],.]]]]] => 3 [.,[.,[.,[[.,[.,.]],[.,.]]]]] => 2 [.,[.,[.,[[[.,.],.],[.,.]]]]] => 2 [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 2 [.,[.,[.,[[.,[[.,.],.]],.]]]] => 3 [.,[.,[.,[[[.,.],[.,.]],.]]]] => 2 [.,[.,[.,[[[.,[.,.]],.],.]]]] => 3 [.,[.,[.,[[[[.,.],.],.],.]]]] => 2 [.,[.,[[.,.],[.,[.,[.,.]]]]]] => 2 [.,[.,[[.,.],[.,[[.,.],.]]]]] => 3 [.,[.,[[.,.],[[.,.],[.,.]]]]] => 3 [.,[.,[[.,.],[[.,[.,.]],.]]]] => 3 [.,[.,[[.,.],[[[.,.],.],.]]]] => 3 [.,[.,[[.,[.,.]],[.,[.,.]]]]] => 2 [.,[.,[[.,[.,.]],[[.,.],.]]]] => 3 [.,[.,[[[.,.],.],[.,[.,.]]]]] => 2 [.,[.,[[[.,.],.],[[.,.],.]]]] => 3 [.,[.,[[.,[.,[.,.]]],[.,.]]]] => 2 [.,[.,[[.,[[.,.],.]],[.,.]]]] => 3 [.,[.,[[[.,.],[.,.]],[.,.]]]] => 2 [.,[.,[[[.,[.,.]],.],[.,.]]]] => 3 [.,[.,[[[[.,.],.],.],[.,.]]]] => 2 [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 2 [.,[.,[[.,[.,[[.,.],.]]],.]]] => 3 [.,[.,[[.,[[.,.],[.,.]]],.]]] => 3 [.,[.,[[.,[[.,[.,.]],.]],.]]] => 3 [.,[.,[[.,[[[.,.],.],.]],.]]] => 3 [.,[.,[[[.,.],[.,[.,.]]],.]]] => 2 [.,[.,[[[.,.],[[.,.],.]],.]]] => 3 [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3 [.,[.,[[[[.,.],.],[.,.]],.]]] => 2 [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3 [.,[.,[[[.,[[.,.],.]],.],.]]] => 3 [.,[.,[[[[.,.],[.,.]],.],.]]] => 3 [.,[.,[[[[.,[.,.]],.],.],.]]] => 3 [.,[.,[[[[[.,.],.],.],.],.]]] => 2 [.,[[.,.],[.,[.,[.,[.,.]]]]]] => 2 [.,[[.,.],[.,[.,[[.,.],.]]]]] => 3 [.,[[.,.],[.,[[.,.],[.,.]]]]] => 3 [.,[[.,.],[.,[[.,[.,.]],.]]]] => 3 [.,[[.,.],[.,[[[.,.],.],.]]]] => 3 [.,[[.,.],[[.,.],[.,[.,.]]]]] => 3 [.,[[.,.],[[.,.],[[.,.],.]]]] => 4 [.,[[.,.],[[.,[.,.]],[.,.]]]] => 3 [.,[[.,.],[[[.,.],.],[.,.]]]] => 3 [.,[[.,.],[[.,[.,[.,.]]],.]]] => 3 [.,[[.,.],[[.,[[.,.],.]],.]]] => 4 [.,[[.,.],[[[.,.],[.,.]],.]]] => 3 [.,[[.,.],[[[.,[.,.]],.],.]]] => 4 [.,[[.,.],[[[[.,.],.],.],.]]] => 3 [.,[[.,[.,.]],[.,[.,[.,.]]]]] => 2 [.,[[.,[.,.]],[.,[[.,.],.]]]] => 3 [.,[[.,[.,.]],[[.,.],[.,.]]]] => 3 [.,[[.,[.,.]],[[.,[.,.]],.]]] => 3 [.,[[.,[.,.]],[[[.,.],.],.]]] => 3 [.,[[[.,.],.],[.,[.,[.,.]]]]] => 2 [.,[[[.,.],.],[.,[[.,.],.]]]] => 3 [.,[[[.,.],.],[[.,.],[.,.]]]] => 3 [.,[[[.,.],.],[[.,[.,.]],.]]] => 3 [.,[[[.,.],.],[[[.,.],.],.]]] => 3 [.,[[.,[.,[.,.]]],[.,[.,.]]]] => 2 [.,[[.,[.,[.,.]]],[[.,.],.]]] => 3 [.,[[.,[[.,.],.]],[.,[.,.]]]] => 3 [.,[[.,[[.,.],.]],[[.,.],.]]] => 4 [.,[[[.,.],[.,.]],[.,[.,.]]]] => 2 [.,[[[.,.],[.,.]],[[.,.],.]]] => 3 [.,[[[.,[.,.]],.],[.,[.,.]]]] => 3 [.,[[[.,[.,.]],.],[[.,.],.]]] => 4 [.,[[[[.,.],.],.],[.,[.,.]]]] => 2 [.,[[[[.,.],.],.],[[.,.],.]]] => 3 [.,[[.,[.,[.,[.,.]]]],[.,.]]] => 2 [.,[[.,[.,[[.,.],.]]],[.,.]]] => 3 [.,[[.,[[.,.],[.,.]]],[.,.]]] => 3 [.,[[.,[[.,[.,.]],.]],[.,.]]] => 3 [.,[[.,[[[.,.],.],.]],[.,.]]] => 3 [.,[[[.,.],[.,[.,.]]],[.,.]]] => 2 [.,[[[.,.],[[.,.],.]],[.,.]]] => 3 [.,[[[.,[.,.]],[.,.]],[.,.]]] => 3 [.,[[[[.,.],.],[.,.]],[.,.]]] => 2 [.,[[[.,[.,[.,.]]],.],[.,.]]] => 3 [.,[[[.,[[.,.],.]],.],[.,.]]] => 3 [.,[[[[.,.],[.,.]],.],[.,.]]] => 3 [.,[[[[.,[.,.]],.],.],[.,.]]] => 3 [.,[[[[[.,.],.],.],.],[.,.]]] => 2 [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2 [.,[[.,[.,[.,[[.,.],.]]]],.]] => 3 [.,[[.,[.,[[.,.],[.,.]]]],.]] => 3 [.,[[.,[.,[[.,[.,.]],.]]],.]] => 3 [.,[[.,[.,[[[.,.],.],.]]],.]] => 3 [.,[[.,[[.,.],[.,[.,.]]]],.]] => 3 [.,[[.,[[.,.],[[.,.],.]]],.]] => 4 [.,[[.,[[.,[.,.]],[.,.]]],.]] => 3 [.,[[.,[[[.,.],.],[.,.]]],.]] => 3 [.,[[.,[[.,[.,[.,.]]],.]],.]] => 3 [.,[[.,[[.,[[.,.],.]],.]],.]] => 4 [.,[[.,[[[.,.],[.,.]],.]],.]] => 3 [.,[[.,[[[.,[.,.]],.],.]],.]] => 4 [.,[[.,[[[[.,.],.],.],.]],.]] => 3 [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2 [.,[[[.,.],[.,[[.,.],.]]],.]] => 3 [.,[[[.,.],[[.,.],[.,.]]],.]] => 3 [.,[[[.,.],[[.,[.,.]],.]],.]] => 3 [.,[[[.,.],[[[.,.],.],.]],.]] => 3 [.,[[[.,[.,.]],[.,[.,.]]],.]] => 3 [.,[[[.,[.,.]],[[.,.],.]],.]] => 4 [.,[[[[.,.],.],[.,[.,.]]],.]] => 2 [.,[[[[.,.],.],[[.,.],.]],.]] => 3 [.,[[[.,[.,[.,.]]],[.,.]],.]] => 3 [.,[[[.,[[.,.],.]],[.,.]],.]] => 3 [.,[[[[.,.],[.,.]],[.,.]],.]] => 3 [.,[[[[.,[.,.]],.],[.,.]],.]] => 3 [.,[[[[[.,.],.],.],[.,.]],.]] => 2 [.,[[[.,[.,[.,[.,.]]]],.],.]] => 3 [.,[[[.,[.,[[.,.],.]]],.],.]] => 4 [.,[[[.,[[.,.],[.,.]]],.],.]] => 3 [.,[[[.,[[.,[.,.]],.]],.],.]] => 4 [.,[[[.,[[[.,.],.],.]],.],.]] => 3 [.,[[[[.,.],[.,[.,.]]],.],.]] => 3 [.,[[[[.,.],[[.,.],.]],.],.]] => 3 [.,[[[[.,[.,.]],[.,.]],.],.]] => 4 [.,[[[[[.,.],.],[.,.]],.],.]] => 3 [.,[[[[.,[.,[.,.]]],.],.],.]] => 3 [.,[[[[.,[[.,.],.]],.],.],.]] => 3 [.,[[[[[.,.],[.,.]],.],.],.]] => 3 [.,[[[[[.,[.,.]],.],.],.],.]] => 3 [.,[[[[[[.,.],.],.],.],.],.]] => 2 [[.,.],[.,[.,[.,[.,[.,.]]]]]] => 1 [[.,.],[.,[.,[.,[[.,.],.]]]]] => 2 [[.,.],[.,[.,[[.,.],[.,.]]]]] => 2 [[.,.],[.,[.,[[.,[.,.]],.]]]] => 2 [[.,.],[.,[.,[[[.,.],.],.]]]] => 2 [[.,.],[.,[[.,.],[.,[.,.]]]]] => 2 [[.,.],[.,[[.,.],[[.,.],.]]]] => 3 [[.,.],[.,[[.,[.,.]],[.,.]]]] => 2 [[.,.],[.,[[[.,.],.],[.,.]]]] => 2 [[.,.],[.,[[.,[.,[.,.]]],.]]] => 2 [[.,.],[.,[[.,[[.,.],.]],.]]] => 3 [[.,.],[.,[[[.,.],[.,.]],.]]] => 2 [[.,.],[.,[[[.,[.,.]],.],.]]] => 3 [[.,.],[.,[[[[.,.],.],.],.]]] => 2 [[.,.],[[.,.],[.,[.,[.,.]]]]] => 2 [[.,.],[[.,.],[.,[[.,.],.]]]] => 3 [[.,.],[[.,.],[[.,.],[.,.]]]] => 3 [[.,.],[[.,.],[[.,[.,.]],.]]] => 3 [[.,.],[[.,.],[[[.,.],.],.]]] => 3 [[.,.],[[.,[.,.]],[.,[.,.]]]] => 2 [[.,.],[[.,[.,.]],[[.,.],.]]] => 3 [[.,.],[[[.,.],.],[.,[.,.]]]] => 2 [[.,.],[[[.,.],.],[[.,.],.]]] => 3 [[.,.],[[.,[.,[.,.]]],[.,.]]] => 2 [[.,.],[[.,[[.,.],.]],[.,.]]] => 3 [[.,.],[[[.,.],[.,.]],[.,.]]] => 2 [[.,.],[[[.,[.,.]],.],[.,.]]] => 3 [[.,.],[[[[.,.],.],.],[.,.]]] => 2 [[.,.],[[.,[.,[.,[.,.]]]],.]] => 2 [[.,.],[[.,[.,[[.,.],.]]],.]] => 3 [[.,.],[[.,[[.,.],[.,.]]],.]] => 3 [[.,.],[[.,[[.,[.,.]],.]],.]] => 3 [[.,.],[[.,[[[.,.],.],.]],.]] => 3 [[.,.],[[[.,.],[.,[.,.]]],.]] => 2 [[.,.],[[[.,.],[[.,.],.]],.]] => 3 [[.,.],[[[.,[.,.]],[.,.]],.]] => 3 [[.,.],[[[[.,.],.],[.,.]],.]] => 2 [[.,.],[[[.,[.,[.,.]]],.],.]] => 3 [[.,.],[[[.,[[.,.],.]],.],.]] => 3 [[.,.],[[[[.,.],[.,.]],.],.]] => 3 [[.,.],[[[[.,[.,.]],.],.],.]] => 3 [[.,.],[[[[[.,.],.],.],.],.]] => 2 [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 2 [[.,[.,.]],[.,[.,[[.,.],.]]]] => 3 [[.,[.,.]],[.,[[.,.],[.,.]]]] => 3 [[.,[.,.]],[.,[[.,[.,.]],.]]] => 3 [[.,[.,.]],[.,[[[.,.],.],.]]] => 3 [[.,[.,.]],[[.,.],[.,[.,.]]]] => 3 [[.,[.,.]],[[.,.],[[.,.],.]]] => 4 [[.,[.,.]],[[.,[.,.]],[.,.]]] => 3 [[.,[.,.]],[[[.,.],.],[.,.]]] => 3 [[.,[.,.]],[[.,[.,[.,.]]],.]] => 3 [[.,[.,.]],[[.,[[.,.],.]],.]] => 4 [[.,[.,.]],[[[.,.],[.,.]],.]] => 3 [[.,[.,.]],[[[.,[.,.]],.],.]] => 4 [[.,[.,.]],[[[[.,.],.],.],.]] => 3 [[[.,.],.],[.,[.,[.,[.,.]]]]] => 1 [[[.,.],.],[.,[.,[[.,.],.]]]] => 2 [[[.,.],.],[.,[[.,.],[.,.]]]] => 2 [[[.,.],.],[.,[[.,[.,.]],.]]] => 2 [[[.,.],.],[.,[[[.,.],.],.]]] => 2 [[[.,.],.],[[.,.],[.,[.,.]]]] => 2 [[[.,.],.],[[.,.],[[.,.],.]]] => 3 [[[.,.],.],[[.,[.,.]],[.,.]]] => 2 [[[.,.],.],[[[.,.],.],[.,.]]] => 2 [[[.,.],.],[[.,[.,[.,.]]],.]] => 2 [[[.,.],.],[[.,[[.,.],.]],.]] => 3 [[[.,.],.],[[[.,.],[.,.]],.]] => 2 [[[.,.],.],[[[.,[.,.]],.],.]] => 3 [[[.,.],.],[[[[.,.],.],.],.]] => 2 [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 2 [[.,[.,[.,.]]],[.,[[.,.],.]]] => 3 [[.,[.,[.,.]]],[[.,.],[.,.]]] => 3 [[.,[.,[.,.]]],[[.,[.,.]],.]] => 3 [[.,[.,[.,.]]],[[[.,.],.],.]] => 3 [[.,[[.,.],.]],[.,[.,[.,.]]]] => 2 [[.,[[.,.],.]],[.,[[.,.],.]]] => 3 [[.,[[.,.],.]],[[.,.],[.,.]]] => 3 [[.,[[.,.],.]],[[.,[.,.]],.]] => 3 [[.,[[.,.],.]],[[[.,.],.],.]] => 3 [[[.,.],[.,.]],[.,[.,[.,.]]]] => 2 [[[.,.],[.,.]],[.,[[.,.],.]]] => 3 [[[.,.],[.,.]],[[.,.],[.,.]]] => 3 [[[.,.],[.,.]],[[.,[.,.]],.]] => 3 [[[.,.],[.,.]],[[[.,.],.],.]] => 3 [[[.,[.,.]],.],[.,[.,[.,.]]]] => 2 [[[.,[.,.]],.],[.,[[.,.],.]]] => 3 [[[.,[.,.]],.],[[.,.],[.,.]]] => 3 [[[.,[.,.]],.],[[.,[.,.]],.]] => 3 [[[.,[.,.]],.],[[[.,.],.],.]] => 3 [[[[.,.],.],.],[.,[.,[.,.]]]] => 1 [[[[.,.],.],.],[.,[[.,.],.]]] => 2 [[[[.,.],.],.],[[.,.],[.,.]]] => 2 [[[[.,.],.],.],[[.,[.,.]],.]] => 2 [[[[.,.],.],.],[[[.,.],.],.]] => 2 [[.,[.,[.,[.,.]]]],[.,[.,.]]] => 2 [[.,[.,[.,[.,.]]]],[[.,.],.]] => 3 [[.,[.,[[.,.],.]]],[.,[.,.]]] => 3 [[.,[.,[[.,.],.]]],[[.,.],.]] => 4 [[.,[[.,.],[.,.]]],[.,[.,.]]] => 2 [[.,[[.,.],[.,.]]],[[.,.],.]] => 3 [[.,[[.,[.,.]],.]],[.,[.,.]]] => 3 [[.,[[.,[.,.]],.]],[[.,.],.]] => 4 [[.,[[[.,.],.],.]],[.,[.,.]]] => 2 [[.,[[[.,.],.],.]],[[.,.],.]] => 3 [[[.,.],[.,[.,.]]],[.,[.,.]]] => 2 [[[.,.],[.,[.,.]]],[[.,.],.]] => 3 [[[.,.],[[.,.],.]],[.,[.,.]]] => 2 [[[.,.],[[.,.],.]],[[.,.],.]] => 3 [[[.,[.,.]],[.,.]],[.,[.,.]]] => 3 [[[.,[.,.]],[.,.]],[[.,.],.]] => 4 [[[[.,.],.],[.,.]],[.,[.,.]]] => 2 [[[[.,.],.],[.,.]],[[.,.],.]] => 3 [[[.,[.,[.,.]]],.],[.,[.,.]]] => 2 [[[.,[.,[.,.]]],.],[[.,.],.]] => 3 [[[.,[[.,.],.]],.],[.,[.,.]]] => 2 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[.,[[.,.],[[.,[[[.,.],.],.]],.]]] => 4 [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => 3 [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => 4 [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => 4 [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => 3 [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => 4 [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => 4 [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => 4 [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => 4 [.,[[.,.],[[[[[.,.],.],.],.],.]]] => 3 [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => 2 [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => 3 [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => 3 [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => 3 [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => 3 [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => 3 [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => 4 [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => 3 [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => 3 [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => 3 [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => 4 [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => 3 [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => 4 [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => 3 [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => 2 [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => 3 [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => 3 [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => 3 [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => 3 [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => 3 [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => 4 [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => 3 [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => 3 [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => 3 [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => 4 [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => 3 [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => 4 [.,[[[.,.],.],[[[[.,.],.],.],.]]] => 3 [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => 2 [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => 3 [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => 3 [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => 3 [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => 3 [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => 3 [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => 4 [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => 4 [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => 4 [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => 4 [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => 2 [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => 3 [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => 3 [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => 3 [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => 3 [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => 3 [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => 4 [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => 4 [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => 4 [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => 4 [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => 2 [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => 3 [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => 3 [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => 3 [.,[[[[.,.],.],.],[[[.,.],.],.]]] => 3 [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => 2 [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => 3 [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => 3 [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => 4 [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => 3 [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => 4 [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => 3 [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => 4 [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => 3 [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => 4 [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => 2 [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => 3 [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => 3 [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => 4 [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => 3 [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => 4 [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => 2 [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => 3 [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => 3 [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => 4 [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => 3 [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => 4 [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => 3 [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => 4 [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => 3 [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => 4 [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => 2 [.,[[[[[.,.],.],.],.],[[.,.],.]]] => 3 [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => 2 [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => 3 [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => 3 [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => 3 [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => 3 [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => 3 [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => 4 [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => 3 [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => 3 [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => 3 [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => 4 [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => 3 [.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => 4 [.,[[.,[[[[.,.],.],.],.]],[.,.]]] => 3 [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => 2 [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => 3 [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => 3 [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => 3 [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => 3 [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => 3 [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => 4 [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => 2 [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => 3 [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => 3 [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => 3 [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => 3 [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => 3 [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => 2 [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => 3 [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => 4 [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => 3 [.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => 4 [.,[[[.,[[[.,.],.],.]],.],[.,.]]] => 3 [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => 3 [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => 3 [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => 4 [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => 3 [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => 3 [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => 3 [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => 3 [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => 3 [.,[[[[[[.,.],.],.],.],.],[.,.]]] => 2 [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => 2 [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => 3 [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => 3 [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => 3 [.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => 3 [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => 3 [.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => 4 [.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => 3 [.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => 3 [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => 3 [.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => 4 [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => 3 [.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => 4 [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => 3 [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => 3 [.,[[.,[[.,.],[.,[[.,.],.]]]],.]] => 4 [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => 4 [.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => 4 [.,[[.,[[.,.],[[[.,.],.],.]]],.]] => 4 [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => 3 [.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => 4 [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => 3 [.,[[.,[[[.,.],.],[[.,.],.]]],.]] => 4 [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => 3 [.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => 4 [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => 3 [.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => 4 [.,[[.,[[[[.,.],.],.],[.,.]]],.]] => 3 [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => 3 [.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => 4 [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => 4 [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => 4 [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => 4 [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => 3 [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => 4 [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => 4 [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => 3 [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => 4 [.,[[.,[[[.,[[.,.],.]],.],.]],.]] => 4 [.,[[.,[[[[.,.],[.,.]],.],.]],.]] => 4 [.,[[.,[[[[.,[.,.]],.],.],.]],.]] => 4 [.,[[.,[[[[[.,.],.],.],.],.]],.]] => 3 [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => 2 [.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => 3 [.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => 3 [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => 3 [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => 3 [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => 3 [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => 4 [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => 3 [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => 3 [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => 3 [.,[[[.,.],[[.,[[.,.],.]],.]],.]] => 4 [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => 3 [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => 4 [.,[[[.,.],[[[[.,.],.],.],.]],.]] => 3 [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => 3 [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => 4 [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => 4 [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => 4 [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => 4 [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => 2 [.,[[[[.,.],.],[.,[[.,.],.]]],.]] => 3 [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => 3 [.,[[[[.,.],.],[[.,[.,.]],.]],.]] => 3 [.,[[[[.,.],.],[[[.,.],.],.]],.]] => 3 [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => 3 [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => 4 [.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => 3 [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => 4 [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => 3 [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => 4 [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => 3 [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => 4 [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => 2 [.,[[[[[.,.],.],.],[[.,.],.]],.]] => 3 [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => 3 [.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => 4 [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => 3 [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => 4 [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => 3 [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => 3 [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => 3 [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => 4 [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => 3 [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => 3 [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => 3 [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => 3 [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => 3 [.,[[[[[[.,.],.],.],.],[.,.]],.]] => 2 [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => 3 [.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => 4 [.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => 4 [.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => 4 [.,[[[.,[.,[[[.,.],.],.]]],.],.]] => 4 [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => 3 [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => 4 [.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => 4 [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => 3 [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => 4 [.,[[[.,[[.,[[.,.],.]],.]],.],.]] => 4 [.,[[[.,[[[.,.],[.,.]],.]],.],.]] => 4 [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => 4 [.,[[[.,[[[[.,.],.],.],.]],.],.]] => 3 [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => 3 [.,[[[[.,.],[.,[[.,.],.]]],.],.]] => 4 [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => 3 [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => 4 [.,[[[[.,.],[[[.,.],.],.]],.],.]] => 3 [.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => 4 [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => 4 [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => 3 [.,[[[[[.,.],.],[[.,.],.]],.],.]] => 3 [.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => 4 [.,[[[[.,[[.,.],.]],[.,.]],.],.]] => 4 [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => 4 [.,[[[[[.,[.,.]],.],[.,.]],.],.]] => 4 [.,[[[[[[.,.],.],.],[.,.]],.],.]] => 3 [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => 3 [.,[[[[.,[.,[[.,.],.]]],.],.],.]] => 4 [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => 3 [.,[[[[.,[[.,[.,.]],.]],.],.],.]] => 4 [.,[[[[.,[[[.,.],.],.]],.],.],.]] => 3 [.,[[[[[.,.],[.,[.,.]]],.],.],.]] => 3 [.,[[[[[.,.],[[.,.],.]],.],.],.]] => 3 [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => 4 [.,[[[[[[.,.],.],[.,.]],.],.],.]] => 3 [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => 3 [.,[[[[[.,[[.,.],.]],.],.],.],.]] => 3 [.,[[[[[[.,.],[.,.]],.],.],.],.]] => 3 [.,[[[[[[.,[.,.]],.],.],.],.],.]] => 3 [.,[[[[[[[.,.],.],.],.],.],.],.]] => 2 [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => 1 [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => 2 [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => 2 [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => 2 [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => 2 [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => 2 [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => 3 [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => 2 [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => 2 [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => 2 [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => 3 [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => 2 [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => 3 [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => 2 [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => 2 [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => 3 [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => 3 [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => 3 [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => 3 [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => 2 [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => 3 [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => 2 [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => 3 [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => 2 [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => 3 [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => 2 [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => 3 [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => 2 [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => 2 [[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => 3 [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => 3 [[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => 3 [[.,.],[.,[[.,[[[.,.],.],.]],.]]] => 3 [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => 2 [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => 3 [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => 3 [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => 2 [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => 3 [[.,.],[.,[[[.,[[.,.],.]],.],.]]] => 3 [[.,.],[.,[[[[.,.],[.,.]],.],.]]] => 3 [[.,.],[.,[[[[.,[.,.]],.],.],.]]] => 3 [[.,.],[.,[[[[[.,.],.],.],.],.]]] => 2 [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => 2 [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => 3 [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => 3 [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => 3 [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => 3 [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => 3 [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 4 [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => 3 [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => 3 [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => 3 [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => 4 [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => 3 [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => 4 [[.,.],[[.,.],[[[[.,.],.],.],.]]] => 3 [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => 2 [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => 3 [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => 3 [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => 3 [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => 3 [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => 2 [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => 3 [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => 3 [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => 3 [[.,.],[[[.,.],.],[[[.,.],.],.]]] => 3 [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => 2 [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => 3 [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => 3 [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => 4 [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => 2 [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => 3 [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => 3 [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => 4 [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => 2 [[.,.],[[[[.,.],.],.],[[.,.],.]]] => 3 [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => 2 [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => 3 [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => 3 [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => 3 [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => 3 [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => 2 [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => 3 [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => 3 [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => 2 [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => 3 [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => 3 [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => 3 [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => 3 [[.,.],[[[[[.,.],.],.],.],[.,.]]] => 2 [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => 2 [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => 3 [[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => 3 [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => 3 [[.,.],[[.,[.,[[[.,.],.],.]]],.]] => 3 [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => 3 [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => 4 [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => 3 [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => 3 [[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => 3 [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => 4 [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => 3 [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => 4 [[.,.],[[.,[[[[.,.],.],.],.]],.]] => 3 [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => 2 [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => 3 [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => 3 [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => 3 [[.,.],[[[.,.],[[[.,.],.],.]],.]] => 3 [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => 3 [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => 4 [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => 2 [[.,.],[[[[.,.],.],[[.,.],.]],.]] => 3 [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => 3 [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => 3 [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => 3 [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => 3 [[.,.],[[[[[.,.],.],.],[.,.]],.]] => 2 [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => 3 [[.,.],[[[.,[.,[[.,.],.]]],.],.]] => 4 [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => 3 [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => 4 [[.,.],[[[.,[[[.,.],.],.]],.],.]] => 3 [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => 3 [[.,.],[[[[.,.],[[.,.],.]],.],.]] => 3 [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => 4 [[.,.],[[[[[.,.],.],[.,.]],.],.]] => 3 [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => 3 [[.,.],[[[[.,[[.,.],.]],.],.],.]] => 3 [[.,.],[[[[[.,.],[.,.]],.],.],.]] => 3 [[.,.],[[[[[.,[.,.]],.],.],.],.]] => 3 [[.,.],[[[[[[.,.],.],.],.],.],.]] => 2 [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => 2 [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => 3 [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => 3 [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => 3 [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => 3 [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => 3 [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => 4 [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => 3 [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => 3 [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => 3 [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => 4 [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => 3 [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => 4 [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => 3 [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => 3 ----------------------------------------------------------------------------- Created: Aug 09, 2016 at 11:12 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Aug 09, 2016 at 11:12 by Christian Stump