***************************************************************************** * 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: St000121 ----------------------------------------------------------------------------- Collection: Binary trees ----------------------------------------------------------------------------- Description: The number of occurrences of the contiguous pattern {{{[.,[.,[.,[.,.]]]]}}} in a binary tree. [[oeis:A036765]] counts binary trees avoiding this pattern. ----------------------------------------------------------------------------- References: [1] Rowland, E. S. Pattern avoidance in binary trees [[MathSciNet:2645188]] [[arXiv:0809.0488]] ----------------------------------------------------------------------------- Code: ----------------------------------------------------------------------------- Statistic values: [.,.] => 0 [.,[.,.]] => 0 [[.,.],.] => 0 [.,[.,[.,.]]] => 0 [.,[[.,.],.]] => 0 [[.,.],[.,.]] => 0 [[.,[.,.]],.] => 0 [[[.,.],.],.] => 0 [.,[.,[.,[.,.]]]] => 1 [.,[.,[[.,.],.]]] => 0 [.,[[.,.],[.,.]]] => 0 [.,[[.,[.,.]],.]] => 0 [.,[[[.,.],.],.]] => 0 [[.,.],[.,[.,.]]] => 0 [[.,.],[[.,.],.]] => 0 [[.,[.,.]],[.,.]] => 0 [[[.,.],.],[.,.]] => 0 [[.,[.,[.,.]]],.] => 0 [[.,[[.,.],.]],.] => 0 [[[.,.],[.,.]],.] => 0 [[[.,[.,.]],.],.] => 0 [[[[.,.],.],.],.] => 0 [.,[.,[.,[.,[.,.]]]]] => 2 [.,[.,[.,[[.,.],.]]]] => 1 [.,[.,[[.,.],[.,.]]]] => 1 [.,[.,[[.,[.,.]],.]]] => 0 [.,[.,[[[.,.],.],.]]] => 0 [.,[[.,.],[.,[.,.]]]] => 1 [.,[[.,.],[[.,.],.]]] => 0 [.,[[.,[.,.]],[.,.]]] => 0 [.,[[[.,.],.],[.,.]]] => 0 [.,[[.,[.,[.,.]]],.]] => 0 [.,[[.,[[.,.],.]],.]] => 0 [.,[[[.,.],[.,.]],.]] => 0 [.,[[[.,[.,.]],.],.]] => 0 [.,[[[[.,.],.],.],.]] => 0 [[.,.],[.,[.,[.,.]]]] => 1 [[.,.],[.,[[.,.],.]]] => 0 [[.,.],[[.,.],[.,.]]] => 0 [[.,.],[[.,[.,.]],.]] => 0 [[.,.],[[[.,.],.],.]] => 0 [[.,[.,.]],[.,[.,.]]] => 0 [[.,[.,.]],[[.,.],.]] => 0 [[[.,.],.],[.,[.,.]]] => 0 [[[.,.],.],[[.,.],.]] => 0 [[.,[.,[.,.]]],[.,.]] => 0 [[.,[[.,.],.]],[.,.]] => 0 [[[.,.],[.,.]],[.,.]] => 0 [[[.,[.,.]],.],[.,.]] => 0 [[[[.,.],.],.],[.,.]] => 0 [[.,[.,[.,[.,.]]]],.] => 1 [[.,[.,[[.,.],.]]],.] => 0 [[.,[[.,.],[.,.]]],.] => 0 [[.,[[.,[.,.]],.]],.] => 0 [[.,[[[.,.],.],.]],.] => 0 [[[.,.],[.,[.,.]]],.] => 0 [[[.,.],[[.,.],.]],.] => 0 [[[.,[.,.]],[.,.]],.] => 0 [[[[.,.],.],[.,.]],.] => 0 [[[.,[.,[.,.]]],.],.] => 0 [[[.,[[.,.],.]],.],.] => 0 [[[[.,.],[.,.]],.],.] => 0 [[[[.,[.,.]],.],.],.] => 0 [[[[[.,.],.],.],.],.] => 0 [.,[.,[.,[.,[.,[.,.]]]]]] => 3 [.,[.,[.,[.,[[.,.],.]]]]] => 2 [.,[.,[.,[[.,.],[.,.]]]]] => 2 [.,[.,[.,[[.,[.,.]],.]]]] => 1 [.,[.,[.,[[[.,.],.],.]]]] => 1 [.,[.,[[.,.],[.,[.,.]]]]] => 2 [.,[.,[[.,.],[[.,.],.]]]] => 1 [.,[.,[[.,[.,.]],[.,.]]]] => 1 [.,[.,[[[.,.],.],[.,.]]]] => 1 [.,[.,[[.,[.,[.,.]]],.]]] => 0 [.,[.,[[.,[[.,.],.]],.]]] => 0 [.,[.,[[[.,.],[.,.]],.]]] => 0 [.,[.,[[[.,[.,.]],.],.]]] => 0 [.,[.,[[[[.,.],.],.],.]]] => 0 [.,[[.,.],[.,[.,[.,.]]]]] => 2 [.,[[.,.],[.,[[.,.],.]]]] => 1 [.,[[.,.],[[.,.],[.,.]]]] => 1 [.,[[.,.],[[.,[.,.]],.]]] => 0 [.,[[.,.],[[[.,.],.],.]]] => 0 [.,[[.,[.,.]],[.,[.,.]]]] => 1 [.,[[.,[.,.]],[[.,.],.]]] => 0 [.,[[[.,.],.],[.,[.,.]]]] => 1 [.,[[[.,.],.],[[.,.],.]]] => 0 [.,[[.,[.,[.,.]]],[.,.]]] => 0 [.,[[.,[[.,.],.]],[.,.]]] => 0 [.,[[[.,.],[.,.]],[.,.]]] => 0 [.,[[[.,[.,.]],.],[.,.]]] => 0 [.,[[[[.,.],.],.],[.,.]]] => 0 [.,[[.,[.,[.,[.,.]]]],.]] => 1 [.,[[.,[.,[[.,.],.]]],.]] => 0 [.,[[.,[[.,.],[.,.]]],.]] => 0 [.,[[.,[[.,[.,.]],.]],.]] => 0 [.,[[.,[[[.,.],.],.]],.]] => 0 [.,[[[.,.],[.,[.,.]]],.]] => 0 [.,[[[.,.],[[.,.],.]],.]] => 0 [.,[[[.,[.,.]],[.,.]],.]] => 0 [.,[[[[.,.],.],[.,.]],.]] => 0 [.,[[[.,[.,[.,.]]],.],.]] => 0 [.,[[[.,[[.,.],.]],.],.]] => 0 [.,[[[[.,.],[.,.]],.],.]] => 0 [.,[[[[.,[.,.]],.],.],.]] => 0 [.,[[[[[.,.],.],.],.],.]] => 0 [[.,.],[.,[.,[.,[.,.]]]]] => 2 [[.,.],[.,[.,[[.,.],.]]]] => 1 [[.,.],[.,[[.,.],[.,.]]]] => 1 [[.,.],[.,[[.,[.,.]],.]]] => 0 [[.,.],[.,[[[.,.],.],.]]] => 0 [[.,.],[[.,.],[.,[.,.]]]] => 1 [[.,.],[[.,.],[[.,.],.]]] => 0 [[.,.],[[.,[.,.]],[.,.]]] => 0 [[.,.],[[[.,.],.],[.,.]]] => 0 [[.,.],[[.,[.,[.,.]]],.]] => 0 [[.,.],[[.,[[.,.],.]],.]] => 0 [[.,.],[[[.,.],[.,.]],.]] => 0 [[.,.],[[[.,[.,.]],.],.]] => 0 [[.,.],[[[[.,.],.],.],.]] => 0 [[.,[.,.]],[.,[.,[.,.]]]] => 1 [[.,[.,.]],[.,[[.,.],.]]] => 0 [[.,[.,.]],[[.,.],[.,.]]] => 0 [[.,[.,.]],[[.,[.,.]],.]] => 0 [[.,[.,.]],[[[.,.],.],.]] => 0 [[[.,.],.],[.,[.,[.,.]]]] => 1 [[[.,.],.],[.,[[.,.],.]]] => 0 [[[.,.],.],[[.,.],[.,.]]] => 0 [[[.,.],.],[[.,[.,.]],.]] => 0 [[[.,.],.],[[[.,.],.],.]] => 0 [[.,[.,[.,.]]],[.,[.,.]]] => 0 [[.,[.,[.,.]]],[[.,.],.]] => 0 [[.,[[.,.],.]],[.,[.,.]]] => 0 [[.,[[.,.],.]],[[.,.],.]] => 0 [[[.,.],[.,.]],[.,[.,.]]] => 0 [[[.,.],[.,.]],[[.,.],.]] => 0 [[[.,[.,.]],.],[.,[.,.]]] => 0 [[[.,[.,.]],.],[[.,.],.]] => 0 [[[[.,.],.],.],[.,[.,.]]] => 0 [[[[.,.],.],.],[[.,.],.]] => 0 [[.,[.,[.,[.,.]]]],[.,.]] => 1 [[.,[.,[[.,.],.]]],[.,.]] => 0 [[.,[[.,.],[.,.]]],[.,.]] => 0 [[.,[[.,[.,.]],.]],[.,.]] => 0 [[.,[[[.,.],.],.]],[.,.]] => 0 [[[.,.],[.,[.,.]]],[.,.]] => 0 [[[.,.],[[.,.],.]],[.,.]] => 0 [[[.,[.,.]],[.,.]],[.,.]] => 0 [[[[.,.],.],[.,.]],[.,.]] => 0 [[[.,[.,[.,.]]],.],[.,.]] => 0 [[[.,[[.,.],.]],.],[.,.]] => 0 [[[[.,.],[.,.]],.],[.,.]] => 0 [[[[.,[.,.]],.],.],[.,.]] => 0 [[[[[.,.],.],.],.],[.,.]] => 0 [[.,[.,[.,[.,[.,.]]]]],.] => 2 [[.,[.,[.,[[.,.],.]]]],.] => 1 [[.,[.,[[.,.],[.,.]]]],.] => 1 [[.,[.,[[.,[.,.]],.]]],.] => 0 [[.,[.,[[[.,.],.],.]]],.] => 0 [[.,[[.,.],[.,[.,.]]]],.] => 1 [[.,[[.,.],[[.,.],.]]],.] => 0 [[.,[[.,[.,.]],[.,.]]],.] => 0 [[.,[[[.,.],.],[.,.]]],.] => 0 [[.,[[.,[.,[.,.]]],.]],.] => 0 [[.,[[.,[[.,.],.]],.]],.] => 0 [[.,[[[.,.],[.,.]],.]],.] => 0 [[.,[[[.,[.,.]],.],.]],.] => 0 [[.,[[[[.,.],.],.],.]],.] => 0 [[[.,.],[.,[.,[.,.]]]],.] => 1 [[[.,.],[.,[[.,.],.]]],.] => 0 [[[.,.],[[.,.],[.,.]]],.] => 0 [[[.,.],[[.,[.,.]],.]],.] => 0 [[[.,.],[[[.,.],.],.]],.] => 0 [[[.,[.,.]],[.,[.,.]]],.] => 0 [[[.,[.,.]],[[.,.],.]],.] => 0 [[[[.,.],.],[.,[.,.]]],.] => 0 [[[[.,.],.],[[.,.],.]],.] => 0 [[[.,[.,[.,.]]],[.,.]],.] => 0 [[[.,[[.,.],.]],[.,.]],.] => 0 [[[[.,.],[.,.]],[.,.]],.] => 0 [[[[.,[.,.]],.],[.,.]],.] => 0 [[[[[.,.],.],.],[.,.]],.] => 0 [[[.,[.,[.,[.,.]]]],.],.] => 1 [[[.,[.,[[.,.],.]]],.],.] => 0 [[[.,[[.,.],[.,.]]],.],.] => 0 [[[.,[[.,[.,.]],.]],.],.] => 0 [[[.,[[[.,.],.],.]],.],.] => 0 [[[[.,.],[.,[.,.]]],.],.] => 0 [[[[.,.],[[.,.],.]],.],.] => 0 [[[[.,[.,.]],[.,.]],.],.] => 0 [[[[[.,.],.],[.,.]],.],.] => 0 [[[[.,[.,[.,.]]],.],.],.] => 0 [[[[.,[[.,.],.]],.],.],.] => 0 [[[[[.,.],[.,.]],.],.],.] => 0 [[[[[.,[.,.]],.],.],.],.] => 0 [[[[[[.,.],.],.],.],.],.] => 0 [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 4 [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 3 [.,[.,[.,[.,[[.,.],[.,.]]]]]] => 3 [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 2 [.,[.,[.,[.,[[[.,.],.],.]]]]] => 2 [.,[.,[.,[[.,.],[.,[.,.]]]]]] => 3 [.,[.,[.,[[.,.],[[.,.],.]]]]] => 2 [.,[.,[.,[[.,[.,.]],[.,.]]]]] => 2 [.,[.,[.,[[[.,.],.],[.,.]]]]] => 2 [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 1 [.,[.,[.,[[.,[[.,.],.]],.]]]] => 1 [.,[.,[.,[[[.,.],[.,.]],.]]]] => 1 [.,[.,[.,[[[.,[.,.]],.],.]]]] => 1 [.,[.,[.,[[[[.,.],.],.],.]]]] => 1 [.,[.,[[.,.],[.,[.,[.,.]]]]]] => 3 [.,[.,[[.,.],[.,[[.,.],.]]]]] => 2 [.,[.,[[.,.],[[.,.],[.,.]]]]] => 2 [.,[.,[[.,.],[[.,[.,.]],.]]]] => 1 [.,[.,[[.,.],[[[.,.],.],.]]]] => 1 [.,[.,[[.,[.,.]],[.,[.,.]]]]] => 2 [.,[.,[[.,[.,.]],[[.,.],.]]]] => 1 [.,[.,[[[.,.],.],[.,[.,.]]]]] => 2 [.,[.,[[[.,.],.],[[.,.],.]]]] => 1 [.,[.,[[.,[.,[.,.]]],[.,.]]]] => 1 [.,[.,[[.,[[.,.],.]],[.,.]]]] => 1 [.,[.,[[[.,.],[.,.]],[.,.]]]] => 1 [.,[.,[[[.,[.,.]],.],[.,.]]]] => 1 [.,[.,[[[[.,.],.],.],[.,.]]]] => 1 [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 1 [.,[.,[[.,[.,[[.,.],.]]],.]]] => 0 [.,[.,[[.,[[.,.],[.,.]]],.]]] => 0 [.,[.,[[.,[[.,[.,.]],.]],.]]] => 0 [.,[.,[[.,[[[.,.],.],.]],.]]] => 0 [.,[.,[[[.,.],[.,[.,.]]],.]]] => 0 [.,[.,[[[.,.],[[.,.],.]],.]]] => 0 [.,[.,[[[.,[.,.]],[.,.]],.]]] => 0 [.,[.,[[[[.,.],.],[.,.]],.]]] => 0 [.,[.,[[[.,[.,[.,.]]],.],.]]] => 0 [.,[.,[[[.,[[.,.],.]],.],.]]] => 0 [.,[.,[[[[.,.],[.,.]],.],.]]] => 0 [.,[.,[[[[.,[.,.]],.],.],.]]] => 0 [.,[.,[[[[[.,.],.],.],.],.]]] => 0 [.,[[.,.],[.,[.,[.,[.,.]]]]]] => 3 [.,[[.,.],[.,[.,[[.,.],.]]]]] => 2 [.,[[.,.],[.,[[.,.],[.,.]]]]] => 2 [.,[[.,.],[.,[[.,[.,.]],.]]]] => 1 [.,[[.,.],[.,[[[.,.],.],.]]]] => 1 [.,[[.,.],[[.,.],[.,[.,.]]]]] => 2 [.,[[.,.],[[.,.],[[.,.],.]]]] => 1 [.,[[.,.],[[.,[.,.]],[.,.]]]] => 1 [.,[[.,.],[[[.,.],.],[.,.]]]] => 1 [.,[[.,.],[[.,[.,[.,.]]],.]]] => 0 [.,[[.,.],[[.,[[.,.],.]],.]]] => 0 [.,[[.,.],[[[.,.],[.,.]],.]]] => 0 [.,[[.,.],[[[.,[.,.]],.],.]]] => 0 [.,[[.,.],[[[[.,.],.],.],.]]] => 0 [.,[[.,[.,.]],[.,[.,[.,.]]]]] => 2 [.,[[.,[.,.]],[.,[[.,.],.]]]] => 1 [.,[[.,[.,.]],[[.,.],[.,.]]]] => 1 [.,[[.,[.,.]],[[.,[.,.]],.]]] => 0 [.,[[.,[.,.]],[[[.,.],.],.]]] => 0 [.,[[[.,.],.],[.,[.,[.,.]]]]] => 2 [.,[[[.,.],.],[.,[[.,.],.]]]] => 1 [.,[[[.,.],.],[[.,.],[.,.]]]] => 1 [.,[[[.,.],.],[[.,[.,.]],.]]] => 0 [.,[[[.,.],.],[[[.,.],.],.]]] => 0 [.,[[.,[.,[.,.]]],[.,[.,.]]]] => 1 [.,[[.,[.,[.,.]]],[[.,.],.]]] => 0 [.,[[.,[[.,.],.]],[.,[.,.]]]] => 1 [.,[[.,[[.,.],.]],[[.,.],.]]] => 0 [.,[[[.,.],[.,.]],[.,[.,.]]]] => 1 [.,[[[.,.],[.,.]],[[.,.],.]]] => 0 [.,[[[.,[.,.]],.],[.,[.,.]]]] => 1 [.,[[[.,[.,.]],.],[[.,.],.]]] => 0 [.,[[[[.,.],.],.],[.,[.,.]]]] => 1 [.,[[[[.,.],.],.],[[.,.],.]]] => 0 [.,[[.,[.,[.,[.,.]]]],[.,.]]] => 1 [.,[[.,[.,[[.,.],.]]],[.,.]]] => 0 [.,[[.,[[.,.],[.,.]]],[.,.]]] => 0 [.,[[.,[[.,[.,.]],.]],[.,.]]] => 0 [.,[[.,[[[.,.],.],.]],[.,.]]] => 0 [.,[[[.,.],[.,[.,.]]],[.,.]]] => 0 [.,[[[.,.],[[.,.],.]],[.,.]]] => 0 [.,[[[.,[.,.]],[.,.]],[.,.]]] => 0 [.,[[[[.,.],.],[.,.]],[.,.]]] => 0 [.,[[[.,[.,[.,.]]],.],[.,.]]] => 0 [.,[[[.,[[.,.],.]],.],[.,.]]] => 0 [.,[[[[.,.],[.,.]],.],[.,.]]] => 0 [.,[[[[.,[.,.]],.],.],[.,.]]] => 0 [.,[[[[[.,.],.],.],.],[.,.]]] => 0 [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2 [.,[[.,[.,[.,[[.,.],.]]]],.]] => 1 [.,[[.,[.,[[.,.],[.,.]]]],.]] => 1 [.,[[.,[.,[[.,[.,.]],.]]],.]] => 0 [.,[[.,[.,[[[.,.],.],.]]],.]] => 0 [.,[[.,[[.,.],[.,[.,.]]]],.]] => 1 [.,[[.,[[.,.],[[.,.],.]]],.]] => 0 [.,[[.,[[.,[.,.]],[.,.]]],.]] => 0 [.,[[.,[[[.,.],.],[.,.]]],.]] => 0 [.,[[.,[[.,[.,[.,.]]],.]],.]] => 0 [.,[[.,[[.,[[.,.],.]],.]],.]] => 0 [.,[[.,[[[.,.],[.,.]],.]],.]] => 0 [.,[[.,[[[.,[.,.]],.],.]],.]] => 0 [.,[[.,[[[[.,.],.],.],.]],.]] => 0 [.,[[[.,.],[.,[.,[.,.]]]],.]] => 1 [.,[[[.,.],[.,[[.,.],.]]],.]] => 0 [.,[[[.,.],[[.,.],[.,.]]],.]] => 0 [.,[[[.,.],[[.,[.,.]],.]],.]] => 0 [.,[[[.,.],[[[.,.],.],.]],.]] => 0 [.,[[[.,[.,.]],[.,[.,.]]],.]] => 0 [.,[[[.,[.,.]],[[.,.],.]],.]] => 0 [.,[[[[.,.],.],[.,[.,.]]],.]] => 0 [.,[[[[.,.],.],[[.,.],.]],.]] => 0 [.,[[[.,[.,[.,.]]],[.,.]],.]] => 0 [.,[[[.,[[.,.],.]],[.,.]],.]] => 0 [.,[[[[.,.],[.,.]],[.,.]],.]] => 0 [.,[[[[.,[.,.]],.],[.,.]],.]] => 0 [.,[[[[[.,.],.],.],[.,.]],.]] => 0 [.,[[[.,[.,[.,[.,.]]]],.],.]] => 1 [.,[[[.,[.,[[.,.],.]]],.],.]] => 0 [.,[[[.,[[.,.],[.,.]]],.],.]] => 0 [.,[[[.,[[.,[.,.]],.]],.],.]] => 0 [.,[[[.,[[[.,.],.],.]],.],.]] => 0 [.,[[[[.,.],[.,[.,.]]],.],.]] => 0 [.,[[[[.,.],[[.,.],.]],.],.]] => 0 [.,[[[[.,[.,.]],[.,.]],.],.]] => 0 [.,[[[[[.,.],.],[.,.]],.],.]] => 0 [.,[[[[.,[.,[.,.]]],.],.],.]] => 0 [.,[[[[.,[[.,.],.]],.],.],.]] => 0 [.,[[[[[.,.],[.,.]],.],.],.]] => 0 [.,[[[[[.,[.,.]],.],.],.],.]] => 0 [.,[[[[[[.,.],.],.],.],.],.]] => 0 [[.,.],[.,[.,[.,[.,[.,.]]]]]] => 3 [[.,.],[.,[.,[.,[[.,.],.]]]]] => 2 [[.,.],[.,[.,[[.,.],[.,.]]]]] => 2 [[.,.],[.,[.,[[.,[.,.]],.]]]] => 1 [[.,.],[.,[.,[[[.,.],.],.]]]] => 1 [[.,.],[.,[[.,.],[.,[.,.]]]]] => 2 [[.,.],[.,[[.,.],[[.,.],.]]]] => 1 [[.,.],[.,[[.,[.,.]],[.,.]]]] => 1 [[.,.],[.,[[[.,.],.],[.,.]]]] => 1 [[.,.],[.,[[.,[.,[.,.]]],.]]] => 0 [[.,.],[.,[[.,[[.,.],.]],.]]] => 0 [[.,.],[.,[[[.,.],[.,.]],.]]] => 0 [[.,.],[.,[[[.,[.,.]],.],.]]] => 0 [[.,.],[.,[[[[.,.],.],.],.]]] => 0 [[.,.],[[.,.],[.,[.,[.,.]]]]] => 2 [[.,.],[[.,.],[.,[[.,.],.]]]] => 1 [[.,.],[[.,.],[[.,.],[.,.]]]] => 1 [[.,.],[[.,.],[[.,[.,.]],.]]] => 0 [[.,.],[[.,.],[[[.,.],.],.]]] => 0 [[.,.],[[.,[.,.]],[.,[.,.]]]] => 1 [[.,.],[[.,[.,.]],[[.,.],.]]] => 0 [[.,.],[[[.,.],.],[.,[.,.]]]] => 1 [[.,.],[[[.,.],.],[[.,.],.]]] => 0 [[.,.],[[.,[.,[.,.]]],[.,.]]] => 0 [[.,.],[[.,[[.,.],.]],[.,.]]] => 0 [[.,.],[[[.,.],[.,.]],[.,.]]] => 0 [[.,.],[[[.,[.,.]],.],[.,.]]] => 0 [[.,.],[[[[.,.],.],.],[.,.]]] => 0 [[.,.],[[.,[.,[.,[.,.]]]],.]] => 1 [[.,.],[[.,[.,[[.,.],.]]],.]] => 0 [[.,.],[[.,[[.,.],[.,.]]],.]] => 0 [[.,.],[[.,[[.,[.,.]],.]],.]] => 0 [[.,.],[[.,[[[.,.],.],.]],.]] => 0 [[.,.],[[[.,.],[.,[.,.]]],.]] => 0 [[.,.],[[[.,.],[[.,.],.]],.]] => 0 [[.,.],[[[.,[.,.]],[.,.]],.]] => 0 [[.,.],[[[[.,.],.],[.,.]],.]] => 0 [[.,.],[[[.,[.,[.,.]]],.],.]] => 0 [[.,.],[[[.,[[.,.],.]],.],.]] => 0 [[.,.],[[[[.,.],[.,.]],.],.]] => 0 [[.,.],[[[[.,[.,.]],.],.],.]] => 0 [[.,.],[[[[[.,.],.],.],.],.]] => 0 [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 2 [[.,[.,.]],[.,[.,[[.,.],.]]]] => 1 [[.,[.,.]],[.,[[.,.],[.,.]]]] => 1 [[.,[.,.]],[.,[[.,[.,.]],.]]] => 0 [[.,[.,.]],[.,[[[.,.],.],.]]] => 0 [[.,[.,.]],[[.,.],[.,[.,.]]]] => 1 [[.,[.,.]],[[.,.],[[.,.],.]]] => 0 [[.,[.,.]],[[.,[.,.]],[.,.]]] => 0 [[.,[.,.]],[[[.,.],.],[.,.]]] => 0 [[.,[.,.]],[[.,[.,[.,.]]],.]] => 0 [[.,[.,.]],[[.,[[.,.],.]],.]] => 0 [[.,[.,.]],[[[.,.],[.,.]],.]] => 0 [[.,[.,.]],[[[.,[.,.]],.],.]] => 0 [[.,[.,.]],[[[[.,.],.],.],.]] => 0 [[[.,.],.],[.,[.,[.,[.,.]]]]] => 2 [[[.,.],.],[.,[.,[[.,.],.]]]] => 1 [[[.,.],.],[.,[[.,.],[.,.]]]] => 1 [[[.,.],.],[.,[[.,[.,.]],.]]] => 0 [[[.,.],.],[.,[[[.,.],.],.]]] => 0 [[[.,.],.],[[.,.],[.,[.,.]]]] => 1 [[[.,.],.],[[.,.],[[.,.],.]]] => 0 [[[.,.],.],[[.,[.,.]],[.,.]]] => 0 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[[[[[.,.],[.,[.,.]]],.],.],.] => 0 [[[[[.,.],[[.,.],.]],.],.],.] => 0 [[[[[.,[.,.]],[.,.]],.],.],.] => 0 [[[[[[.,.],.],[.,.]],.],.],.] => 0 [[[[[.,[.,[.,.]]],.],.],.],.] => 0 [[[[[.,[[.,.],.]],.],.],.],.] => 0 [[[[[[.,.],[.,.]],.],.],.],.] => 0 [[[[[[.,[.,.]],.],.],.],.],.] => 0 [[[[[[[.,.],.],.],.],.],.],.] => 0 ----------------------------------------------------------------------------- Created: Jun 18, 2013 at 17:47 by Eric Rowland ----------------------------------------------------------------------------- Last Updated: Oct 17, 2015 at 11:05 by Christian Stump