***************************************************************************** * 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: St000122 ----------------------------------------------------------------------------- Collection: Binary trees ----------------------------------------------------------------------------- Description: The number of occurrences of the contiguous pattern {{{[.,[.,[[.,.],.]]]}}} in a binary tree. [[oeis:A086581]] 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 [.,[.,[.,[.,.]]]] => 0 [.,[.,[[.,.],.]]] => 1 [.,[[.,.],[.,.]]] => 0 [.,[[.,[.,.]],.]] => 0 [.,[[[.,.],.],.]] => 0 [[.,.],[.,[.,.]]] => 0 [[.,.],[[.,.],.]] => 0 [[.,[.,.]],[.,.]] => 0 [[[.,.],.],[.,.]] => 0 [[.,[.,[.,.]]],.] => 0 [[.,[[.,.],.]],.] => 0 [[[.,.],[.,.]],.] => 0 [[[.,[.,.]],.],.] => 0 [[[[.,.],.],.],.] => 0 [.,[.,[.,[.,[.,.]]]]] => 0 [.,[.,[.,[[.,.],.]]]] => 1 [.,[.,[[.,.],[.,.]]]] => 1 [.,[.,[[.,[.,.]],.]]] => 1 [.,[.,[[[.,.],.],.]]] => 1 [.,[[.,.],[.,[.,.]]]] => 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 [.,[.,[.,[.,[[.,.],.]]]]] => 1 [.,[.,[.,[[.,.],[.,.]]]]] => 1 [.,[.,[.,[[.,[.,.]],.]]]] => 1 [.,[.,[.,[[[.,.],.],.]]]] => 1 [.,[.,[[.,.],[.,[.,.]]]]] => 1 [.,[.,[[.,.],[[.,.],.]]]] => 2 [.,[.,[[.,[.,.]],[.,.]]]] => 1 [.,[.,[[[.,.],.],[.,.]]]] => 1 [.,[.,[[.,[.,[.,.]]],.]]] => 1 [.,[.,[[.,[[.,.],.]],.]]] => 1 [.,[.,[[[.,.],[.,.]],.]]] => 1 [.,[.,[[[.,[.,.]],.],.]]] => 1 [.,[.,[[[[.,.],.],.],.]]] => 1 [.,[[.,.],[.,[.,[.,.]]]]] => 0 [.,[[.,.],[.,[[.,.],.]]]] => 1 [.,[[.,.],[[.,.],[.,.]]]] => 1 [.,[[.,.],[[.,[.,.]],.]]] => 1 [.,[[.,.],[[[.,.],.],.]]] => 1 [.,[[.,[.,.]],[.,[.,.]]]] => 0 [.,[[.,[.,.]],[[.,.],.]]] => 1 [.,[[[.,.],.],[.,[.,.]]]] => 0 [.,[[[.,.],.],[[.,.],.]]] => 1 [.,[[.,[.,[.,.]]],[.,.]]] => 0 [.,[[.,[[.,.],.]],[.,.]]] => 0 [.,[[[.,.],[.,.]],[.,.]]] => 0 [.,[[[.,[.,.]],.],[.,.]]] => 0 [.,[[[[.,.],.],.],[.,.]]] => 0 [.,[[.,[.,[.,[.,.]]]],.]] => 0 [.,[[.,[.,[[.,.],.]]],.]] => 1 [.,[[.,[[.,.],[.,.]]],.]] => 0 [.,[[.,[[.,[.,.]],.]],.]] => 0 [.,[[.,[[[.,.],.],.]],.]] => 0 [.,[[[.,.],[.,[.,.]]],.]] => 0 [.,[[[.,.],[[.,.],.]],.]] => 0 [.,[[[.,[.,.]],[.,.]],.]] => 0 [.,[[[[.,.],.],[.,.]],.]] => 0 [.,[[[.,[.,[.,.]]],.],.]] => 0 [.,[[[.,[[.,.],.]],.],.]] => 0 [.,[[[[.,.],[.,.]],.],.]] => 0 [.,[[[[.,[.,.]],.],.],.]] => 0 [.,[[[[[.,.],.],.],.],.]] => 0 [[.,.],[.,[.,[.,[.,.]]]]] => 0 [[.,.],[.,[.,[[.,.],.]]]] => 1 [[.,.],[.,[[.,.],[.,.]]]] => 1 [[.,.],[.,[[.,[.,.]],.]]] => 1 [[.,.],[.,[[[.,.],.],.]]] => 1 [[.,.],[[.,.],[.,[.,.]]]] => 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 [[.,[.,[.,[[.,.],.]]]],.] => 1 [[.,[.,[[.,.],[.,.]]]],.] => 1 [[.,[.,[[.,[.,.]],.]]],.] => 1 [[.,[.,[[[.,.],.],.]]],.] => 1 [[.,[[.,.],[.,[.,.]]]],.] => 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 [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 1 [.,[.,[.,[.,[[.,.],[.,.]]]]]] => 1 [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 1 [.,[.,[.,[.,[[[.,.],.],.]]]]] => 1 [.,[.,[.,[[.,.],[.,[.,.]]]]]] => 1 [.,[.,[.,[[.,.],[[.,.],.]]]]] => 2 [.,[.,[.,[[.,[.,.]],[.,.]]]]] => 1 [.,[.,[.,[[[.,.],.],[.,.]]]]] => 1 [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 1 [.,[.,[.,[[.,[[.,.],.]],.]]]] => 1 [.,[.,[.,[[[.,.],[.,.]],.]]]] => 1 [.,[.,[.,[[[.,[.,.]],.],.]]]] => 1 [.,[.,[.,[[[[.,.],.],.],.]]]] => 1 [.,[.,[[.,.],[.,[.,[.,.]]]]]] => 1 [.,[.,[[.,.],[.,[[.,.],.]]]]] => 2 [.,[.,[[.,.],[[.,.],[.,.]]]]] => 2 [.,[.,[[.,.],[[.,[.,.]],.]]]] => 2 [.,[.,[[.,.],[[[.,.],.],.]]]] => 2 [.,[.,[[.,[.,.]],[.,[.,.]]]]] => 1 [.,[.,[[.,[.,.]],[[.,.],.]]]] => 2 [.,[.,[[[.,.],.],[.,[.,.]]]]] => 1 [.,[.,[[[.,.],.],[[.,.],.]]]] => 2 [.,[.,[[.,[.,[.,.]]],[.,.]]]] => 1 [.,[.,[[.,[[.,.],.]],[.,.]]]] => 1 [.,[.,[[[.,.],[.,.]],[.,.]]]] => 1 [.,[.,[[[.,[.,.]],.],[.,.]]]] => 1 [.,[.,[[[[.,.],.],.],[.,.]]]] => 1 [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 1 [.,[.,[[.,[.,[[.,.],.]]],.]]] => 2 [.,[.,[[.,[[.,.],[.,.]]],.]]] => 1 [.,[.,[[.,[[.,[.,.]],.]],.]]] => 1 [.,[.,[[.,[[[.,.],.],.]],.]]] => 1 [.,[.,[[[.,.],[.,[.,.]]],.]]] => 1 [.,[.,[[[.,.],[[.,.],.]],.]]] => 1 [.,[.,[[[.,[.,.]],[.,.]],.]]] => 1 [.,[.,[[[[.,.],.],[.,.]],.]]] => 1 [.,[.,[[[.,[.,[.,.]]],.],.]]] => 1 [.,[.,[[[.,[[.,.],.]],.],.]]] => 1 [.,[.,[[[[.,.],[.,.]],.],.]]] => 1 [.,[.,[[[[.,[.,.]],.],.],.]]] => 1 [.,[.,[[[[[.,.],.],.],.],.]]] => 1 [.,[[.,.],[.,[.,[.,[.,.]]]]]] => 0 [.,[[.,.],[.,[.,[[.,.],.]]]]] => 1 [.,[[.,.],[.,[[.,.],[.,.]]]]] => 1 [.,[[.,.],[.,[[.,[.,.]],.]]]] => 1 [.,[[.,.],[.,[[[.,.],.],.]]]] => 1 [.,[[.,.],[[.,.],[.,[.,.]]]]] => 1 [.,[[.,.],[[.,.],[[.,.],.]]]] => 2 [.,[[.,.],[[.,[.,.]],[.,.]]]] => 1 [.,[[.,.],[[[.,.],.],[.,.]]]] => 1 [.,[[.,.],[[.,[.,[.,.]]],.]]] => 1 [.,[[.,.],[[.,[[.,.],.]],.]]] => 1 [.,[[.,.],[[[.,.],[.,.]],.]]] => 1 [.,[[.,.],[[[.,[.,.]],.],.]]] => 1 [.,[[.,.],[[[[.,.],.],.],.]]] => 1 [.,[[.,[.,.]],[.,[.,[.,.]]]]] => 0 [.,[[.,[.,.]],[.,[[.,.],.]]]] => 1 [.,[[.,[.,.]],[[.,.],[.,.]]]] => 1 [.,[[.,[.,.]],[[.,[.,.]],.]]] => 1 [.,[[.,[.,.]],[[[.,.],.],.]]] => 1 [.,[[[.,.],.],[.,[.,[.,.]]]]] => 0 [.,[[[.,.],.],[.,[[.,.],.]]]] => 1 [.,[[[.,.],.],[[.,.],[.,.]]]] => 1 [.,[[[.,.],.],[[.,[.,.]],.]]] => 1 [.,[[[.,.],.],[[[.,.],.],.]]] => 1 [.,[[.,[.,[.,.]]],[.,[.,.]]]] => 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 [.,[[.,[.,[.,[[.,.],.]]]],.]] => 1 [.,[[.,[.,[[.,.],[.,.]]]],.]] => 1 [.,[[.,[.,[[.,[.,.]],.]]],.]] => 1 [.,[[.,[.,[[[.,.],.],.]]],.]] => 1 [.,[[.,[[.,.],[.,[.,.]]]],.]] => 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 [[.,.],[.,[.,[.,[[.,.],.]]]]] => 1 [[.,.],[.,[.,[[.,.],[.,.]]]]] => 1 [[.,.],[.,[.,[[.,[.,.]],.]]]] => 1 [[.,.],[.,[.,[[[.,.],.],.]]]] => 1 [[.,.],[.,[[.,.],[.,[.,.]]]]] => 1 [[.,.],[.,[[.,.],[[.,.],.]]]] => 2 [[.,.],[.,[[.,[.,.]],[.,.]]]] => 1 [[.,.],[.,[[[.,.],.],[.,.]]]] => 1 [[.,.],[.,[[.,[.,[.,.]]],.]]] => 1 [[.,.],[.,[[.,[[.,.],.]],.]]] => 1 [[.,.],[.,[[[.,.],[.,.]],.]]] => 1 [[.,.],[.,[[[.,[.,.]],.],.]]] => 1 [[.,.],[.,[[[[.,.],.],.],.]]] => 1 [[.,.],[[.,.],[.,[.,[.,.]]]]] => 0 [[.,.],[[.,.],[.,[[.,.],.]]]] => 1 [[.,.],[[.,.],[[.,.],[.,.]]]] => 1 [[.,.],[[.,.],[[.,[.,.]],.]]] => 1 [[.,.],[[.,.],[[[.,.],.],.]]] => 1 [[.,.],[[.,[.,.]],[.,[.,.]]]] => 0 [[.,.],[[.,[.,.]],[[.,.],.]]] => 1 [[.,.],[[[.,.],.],[.,[.,.]]]] => 0 [[.,.],[[[.,.],.],[[.,.],.]]] => 1 [[.,.],[[.,[.,[.,.]]],[.,.]]] => 0 [[.,.],[[.,[[.,.],.]],[.,.]]] => 0 [[.,.],[[[.,.],[.,.]],[.,.]]] => 0 [[.,.],[[[.,[.,.]],.],[.,.]]] => 0 [[.,.],[[[[.,.],.],.],[.,.]]] => 0 [[.,.],[[.,[.,[.,[.,.]]]],.]] => 0 [[.,.],[[.,[.,[[.,.],.]]],.]] => 1 [[.,.],[[.,[[.,.],[.,.]]],.]] => 0 [[.,.],[[.,[[.,[.,.]],.]],.]] => 0 [[.,.],[[.,[[[.,.],.],.]],.]] => 0 [[.,.],[[[.,.],[.,[.,.]]],.]] => 0 [[.,.],[[[.,.],[[.,.],.]],.]] => 0 [[.,.],[[[.,[.,.]],[.,.]],.]] => 0 [[.,.],[[[[.,.],.],[.,.]],.]] => 0 [[.,.],[[[.,[.,[.,.]]],.],.]] => 0 [[.,.],[[[.,[[.,.],.]],.],.]] => 0 [[.,.],[[[[.,.],[.,.]],.],.]] => 0 [[.,.],[[[[.,[.,.]],.],.],.]] => 0 [[.,.],[[[[[.,.],.],.],.],.]] => 0 [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 0 [[.,[.,.]],[.,[.,[[.,.],.]]]] => 1 [[.,[.,.]],[.,[[.,.],[.,.]]]] => 1 [[.,[.,.]],[.,[[.,[.,.]],.]]] => 1 [[.,[.,.]],[.,[[[.,.],.],.]]] => 1 [[.,[.,.]],[[.,.],[.,[.,.]]]] => 0 [[.,[.,.]],[[.,.],[[.,.],.]]] => 1 [[.,[.,.]],[[.,[.,.]],[.,.]]] => 0 [[.,[.,.]],[[[.,.],.],[.,.]]] => 0 [[.,[.,.]],[[.,[.,[.,.]]],.]] => 0 [[.,[.,.]],[[.,[[.,.],.]],.]] => 0 [[.,[.,.]],[[[.,.],[.,.]],.]] => 0 [[.,[.,.]],[[[.,[.,.]],.],.]] => 0 [[.,[.,.]],[[[[.,.],.],.],.]] => 0 [[[.,.],.],[.,[.,[.,[.,.]]]]] => 0 [[[.,.],.],[.,[.,[[.,.],.]]]] => 1 [[[.,.],.],[.,[[.,.],[.,.]]]] => 1 [[[.,.],.],[.,[[.,[.,.]],.]]] => 1 [[[.,.],.],[.,[[[.,.],.],.]]] => 1 [[[.,.],.],[[.,.],[.,[.,.]]]] => 0 [[[.,.],.],[[.,.],[[.,.],.]]] => 1 [[[.,.],.],[[.,[.,.]],[.,.]]] => 0 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[[[[[.,.],[.,[.,.]]],.],.],.] => 0 [[[[[.,.],[[.,.],.]],.],.],.] => 0 [[[[[.,[.,.]],[.,.]],.],.],.] => 0 [[[[[[.,.],.],[.,.]],.],.],.] => 0 [[[[[.,[.,[.,.]]],.],.],.],.] => 0 [[[[[.,[[.,.],.]],.],.],.],.] => 0 [[[[[[.,.],[.,.]],.],.],.],.] => 0 [[[[[[.,[.,.]],.],.],.],.],.] => 0 [[[[[[[.,.],.],.],.],.],.],.] => 0 ----------------------------------------------------------------------------- Created: Jun 18, 2013 at 17:54 by Eric Rowland ----------------------------------------------------------------------------- Last Updated: Oct 17, 2015 at 11:06 by Christian Stump