***************************************************************************** * 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: St000413 ----------------------------------------------------------------------------- Collection: Ordered trees ----------------------------------------------------------------------------- Description: The number of ordered trees with the same underlying unordered tree. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: @cached_function def Ordered_to_Rooted(n): return [RootedTree(S) for S in OrderedTrees(n)] def statistic(tree): return Ordered_to_Rooted(tree.node_number()).count(RootedTree(tree)) ----------------------------------------------------------------------------- Statistic values: [[]] => 1 [[],[]] => 1 [[[]]] => 1 [[],[],[]] => 1 [[],[[]]] => 2 [[[]],[]] => 2 [[[],[]]] => 1 [[[[]]]] => 1 [[],[],[],[]] => 1 [[],[],[[]]] => 3 [[],[[]],[]] => 3 [[],[[],[]]] => 2 [[],[[[]]]] => 2 [[[]],[],[]] => 3 [[[]],[[]]] => 1 [[[],[]],[]] => 2 [[[[]]],[]] => 2 [[[],[],[]]] => 1 [[[],[[]]]] => 2 [[[[]],[]]] => 2 [[[[],[]]]] => 1 [[[[[]]]]] => 1 [[],[],[],[],[]] => 1 [[],[],[],[[]]] => 4 [[],[],[[]],[]] => 4 [[],[],[[],[]]] => 3 [[],[],[[[]]]] => 3 [[],[[]],[],[]] => 4 [[],[[]],[[]]] => 3 [[],[[],[]],[]] => 3 [[],[[[]]],[]] => 3 [[],[[],[],[]]] => 2 [[],[[],[[]]]] => 4 [[],[[[]],[]]] => 4 [[],[[[],[]]]] => 2 [[],[[[[]]]]] => 2 [[[]],[],[],[]] => 4 [[[]],[],[[]]] => 3 [[[]],[[]],[]] => 3 [[[]],[[],[]]] => 2 [[[]],[[[]]]] => 2 [[[],[]],[],[]] => 3 [[[[]]],[],[]] => 3 [[[],[]],[[]]] => 2 [[[[]]],[[]]] => 2 [[[],[],[]],[]] => 2 [[[],[[]]],[]] => 4 [[[[]],[]],[]] => 4 [[[[],[]]],[]] => 2 [[[[[]]]],[]] => 2 [[[],[],[],[]]] => 1 [[[],[],[[]]]] => 3 [[[],[[]],[]]] => 3 [[[],[[],[]]]] => 2 [[[],[[[]]]]] => 2 [[[[]],[],[]]] => 3 [[[[]],[[]]]] => 1 [[[[],[]],[]]] => 2 [[[[[]]],[]]] => 2 [[[[],[],[]]]] => 1 [[[[],[[]]]]] => 2 [[[[[]],[]]]] => 2 [[[[[],[]]]]] => 1 [[[[[[]]]]]] => 1 [[],[],[],[],[],[]] => 1 [[],[],[],[],[[]]] => 5 [[],[],[],[[]],[]] => 5 [[],[],[],[[],[]]] => 4 [[],[],[],[[[]]]] => 4 [[],[],[[]],[],[]] => 5 [[],[],[[]],[[]]] => 6 [[],[],[[],[]],[]] => 4 [[],[],[[[]]],[]] => 4 [[],[],[[],[],[]]] => 3 [[],[],[[],[[]]]] => 6 [[],[],[[[]],[]]] => 6 [[],[],[[[],[]]]] => 3 [[],[],[[[[]]]]] => 3 [[],[[]],[],[],[]] => 5 [[],[[]],[],[[]]] => 6 [[],[[]],[[]],[]] => 6 [[],[[]],[[],[]]] => 6 [[],[[]],[[[]]]] => 6 [[],[[],[]],[],[]] => 4 [[],[[[]]],[],[]] => 4 [[],[[],[]],[[]]] => 6 [[],[[[]]],[[]]] => 6 [[],[[],[],[]],[]] => 3 [[],[[],[[]]],[]] => 6 [[],[[[]],[]],[]] => 6 [[],[[[],[]]],[]] => 3 [[],[[[[]]]],[]] => 3 [[],[[],[],[],[]]] => 2 [[],[[],[],[[]]]] => 6 [[],[[],[[]],[]]] => 6 [[],[[],[[],[]]]] => 4 [[],[[],[[[]]]]] => 4 [[],[[[]],[],[]]] => 6 [[],[[[]],[[]]]] => 2 [[],[[[],[]],[]]] => 4 [[],[[[[]]],[]]] => 4 [[],[[[],[],[]]]] => 2 [[],[[[],[[]]]]] => 4 [[],[[[[]],[]]]] => 4 [[],[[[[],[]]]]] => 2 [[],[[[[[]]]]]] => 2 [[[]],[],[],[],[]] => 5 [[[]],[],[],[[]]] => 6 [[[]],[],[[]],[]] => 6 [[[]],[],[[],[]]] => 6 [[[]],[],[[[]]]] => 6 [[[]],[[]],[],[]] => 6 [[[]],[[]],[[]]] => 1 [[[]],[[],[]],[]] => 6 [[[]],[[[]]],[]] => 6 [[[]],[[],[],[]]] => 2 [[[]],[[],[[]]]] => 4 [[[]],[[[]],[]]] => 4 [[[]],[[[],[]]]] => 2 [[[]],[[[[]]]]] => 2 [[[],[]],[],[],[]] => 4 [[[[]]],[],[],[]] => 4 [[[],[]],[],[[]]] => 6 [[[[]]],[],[[]]] => 6 [[[],[]],[[]],[]] => 6 [[[[]]],[[]],[]] => 6 [[[],[]],[[],[]]] => 1 [[[],[]],[[[]]]] => 2 [[[[]]],[[],[]]] => 2 [[[[]]],[[[]]]] => 1 [[[],[],[]],[],[]] => 3 [[[],[[]]],[],[]] => 6 [[[[]],[]],[],[]] => 6 [[[[],[]]],[],[]] => 3 [[[[[]]]],[],[]] => 3 [[[],[],[]],[[]]] => 2 [[[],[[]]],[[]]] => 4 [[[[]],[]],[[]]] => 4 [[[[],[]]],[[]]] => 2 [[[[[]]]],[[]]] => 2 [[[],[],[],[]],[]] => 2 [[[],[],[[]]],[]] => 6 [[[],[[]],[]],[]] => 6 [[[],[[],[]]],[]] => 4 [[[],[[[]]]],[]] => 4 [[[[]],[],[]],[]] => 6 [[[[]],[[]]],[]] => 2 [[[[],[]],[]],[]] => 4 [[[[[]]],[]],[]] => 4 [[[[],[],[]]],[]] => 2 [[[[],[[]]]],[]] => 4 [[[[[]],[]]],[]] => 4 [[[[[],[]]]],[]] => 2 [[[[[[]]]]],[]] => 2 [[[],[],[],[],[]]] => 1 [[[],[],[],[[]]]] => 4 [[[],[],[[]],[]]] => 4 [[[],[],[[],[]]]] => 3 [[[],[],[[[]]]]] => 3 [[[],[[]],[],[]]] => 4 [[[],[[]],[[]]]] => 3 [[[],[[],[]],[]]] => 3 [[[],[[[]]],[]]] => 3 [[[],[[],[],[]]]] => 2 [[[],[[],[[]]]]] => 4 [[[],[[[]],[]]]] => 4 [[[],[[[],[]]]]] => 2 [[[],[[[[]]]]]] => 2 [[[[]],[],[],[]]] => 4 [[[[]],[],[[]]]] => 3 [[[[]],[[]],[]]] => 3 [[[[]],[[],[]]]] => 2 [[[[]],[[[]]]]] => 2 [[[[],[]],[],[]]] => 3 [[[[[]]],[],[]]] => 3 [[[[],[]],[[]]]] => 2 [[[[[]]],[[]]]] => 2 [[[[],[],[]],[]]] => 2 [[[[],[[]]],[]]] => 4 [[[[[]],[]],[]]] => 4 [[[[[],[]]],[]]] => 2 [[[[[[]]]],[]]] => 2 [[[[],[],[],[]]]] => 1 [[[[],[],[[]]]]] => 3 [[[[],[[]],[]]]] => 3 [[[[],[[],[]]]]] => 2 [[[[],[[[]]]]]] => 2 [[[[[]],[],[]]]] => 3 [[[[[]],[[]]]]] => 1 [[[[[],[]],[]]]] => 2 [[[[[[]]],[]]]] => 2 [[[[[],[],[]]]]] => 1 [[[[[],[[]]]]]] => 2 [[[[[[]],[]]]]] => 2 [[[[[[],[]]]]]] => 1 [[[[[[[]]]]]]] => 1 [[],[],[],[],[],[],[]] => 1 [[],[],[],[],[],[[]]] => 6 [[],[],[],[],[[]],[]] => 6 [[],[],[],[],[[],[]]] => 5 [[],[],[],[],[[[]]]] => 5 [[],[],[],[[]],[],[]] => 6 [[],[],[],[[]],[[]]] => 10 [[],[],[],[[],[]],[]] => 5 [[],[],[],[[[]]],[]] => 5 [[],[],[],[[],[],[]]] => 4 [[],[],[],[[],[[]]]] => 8 [[],[],[],[[[]],[]]] => 8 [[],[],[],[[[],[]]]] => 4 [[],[],[],[[[[]]]]] => 4 [[],[],[[]],[],[],[]] => 6 [[],[],[[]],[],[[]]] => 10 [[],[],[[]],[[]],[]] => 10 [[],[],[[]],[[],[]]] => 12 [[],[],[[]],[[[]]]] => 12 [[],[],[[],[]],[],[]] => 5 [[],[],[[[]]],[],[]] => 5 [[],[],[[],[]],[[]]] => 12 [[],[],[[[]]],[[]]] => 12 [[],[],[[],[],[]],[]] => 4 [[],[],[[],[[]]],[]] => 8 [[],[],[[[]],[]],[]] => 8 [[],[],[[[],[]]],[]] => 4 [[],[],[[[[]]]],[]] => 4 [[],[],[[],[],[],[]]] => 3 [[],[],[[],[],[[]]]] => 9 [[],[],[[],[[]],[]]] => 9 [[],[],[[],[[],[]]]] => 6 [[],[],[[],[[[]]]]] => 6 [[],[],[[[]],[],[]]] => 9 [[],[],[[[]],[[]]]] => 3 [[],[],[[[],[]],[]]] => 6 [[],[],[[[[]]],[]]] => 6 [[],[],[[[],[],[]]]] => 3 [[],[],[[[],[[]]]]] => 6 [[],[],[[[[]],[]]]] => 6 [[],[],[[[[],[]]]]] => 3 [[],[],[[[[[]]]]]] => 3 [[],[[]],[],[],[],[]] => 6 [[],[[]],[],[],[[]]] => 10 [[],[[]],[],[[]],[]] => 10 [[],[[]],[],[[],[]]] => 12 [[],[[]],[],[[[]]]] => 12 [[],[[]],[[]],[],[]] => 10 [[],[[]],[[]],[[]]] => 4 [[],[[]],[[],[]],[]] => 12 [[],[[]],[[[]]],[]] => 12 [[],[[]],[[],[],[]]] => 6 [[],[[]],[[],[[]]]] => 12 [[],[[]],[[[]],[]]] => 12 [[],[[]],[[[],[]]]] => 6 [[],[[]],[[[[]]]]] => 6 [[],[[],[]],[],[],[]] => 5 [[],[[[]]],[],[],[]] => 5 [[],[[],[]],[],[[]]] => 12 [[],[[[]]],[],[[]]] => 12 [[],[[],[]],[[]],[]] => 12 [[],[[[]]],[[]],[]] => 12 [[],[[],[]],[[],[]]] => 3 [[],[[],[]],[[[]]]] => 6 [[],[[[]]],[[],[]]] => 6 [[],[[[]]],[[[]]]] => 3 [[],[[],[],[]],[],[]] => 4 [[],[[],[[]]],[],[]] => 8 [[],[[[]],[]],[],[]] => 8 [[],[[[],[]]],[],[]] => 4 [[],[[[[]]]],[],[]] => 4 [[],[[],[],[]],[[]]] => 6 [[],[[],[[]]],[[]]] => 12 [[],[[[]],[]],[[]]] => 12 [[],[[[],[]]],[[]]] => 6 [[],[[[[]]]],[[]]] => 6 [[],[[],[],[],[]],[]] => 3 [[],[[],[],[[]]],[]] => 9 [[],[[],[[]],[]],[]] => 9 [[],[[],[[],[]]],[]] => 6 [[],[[],[[[]]]],[]] => 6 [[],[[[]],[],[]],[]] => 9 [[],[[[]],[[]]],[]] => 3 [[],[[[],[]],[]],[]] => 6 [[],[[[[]]],[]],[]] => 6 [[],[[[],[],[]]],[]] => 3 [[],[[[],[[]]]],[]] => 6 [[],[[[[]],[]]],[]] => 6 [[],[[[[],[]]]],[]] => 3 [[],[[[[[]]]]],[]] => 3 [[],[[],[],[],[],[]]] => 2 [[],[[],[],[],[[]]]] => 8 [[],[[],[],[[]],[]]] => 8 [[],[[],[],[[],[]]]] => 6 [[],[[],[],[[[]]]]] => 6 [[],[[],[[]],[],[]]] => 8 [[],[[],[[]],[[]]]] => 6 [[],[[],[[],[]],[]]] => 6 [[],[[],[[[]]],[]]] => 6 [[],[[],[[],[],[]]]] => 4 [[],[[],[[],[[]]]]] => 8 [[],[[],[[[]],[]]]] => 8 [[],[[],[[[],[]]]]] => 4 [[],[[],[[[[]]]]]] => 4 [[],[[[]],[],[],[]]] => 8 [[],[[[]],[],[[]]]] => 6 [[],[[[]],[[]],[]]] => 6 [[],[[[]],[[],[]]]] => 4 [[],[[[]],[[[]]]]] => 4 [[],[[[],[]],[],[]]] => 6 [[],[[[[]]],[],[]]] => 6 [[],[[[],[]],[[]]]] => 4 [[],[[[[]]],[[]]]] => 4 [[],[[[],[],[]],[]]] => 4 [[],[[[],[[]]],[]]] => 8 [[],[[[[]],[]],[]]] => 8 [[],[[[[],[]]],[]]] => 4 [[],[[[[[]]]],[]]] => 4 [[],[[[],[],[],[]]]] => 2 [[],[[[],[],[[]]]]] => 6 [[],[[[],[[]],[]]]] => 6 [[],[[[],[[],[]]]]] => 4 [[],[[[],[[[]]]]]] => 4 [[],[[[[]],[],[]]]] => 6 [[],[[[[]],[[]]]]] => 2 [[],[[[[],[]],[]]]] => 4 [[],[[[[[]]],[]]]] => 4 [[],[[[[],[],[]]]]] => 2 [[],[[[[],[[]]]]]] => 4 [[],[[[[[]],[]]]]] => 4 [[],[[[[[],[]]]]]] => 2 [[],[[[[[[]]]]]]] => 2 [[[]],[],[],[],[],[]] => 6 [[[]],[],[],[],[[]]] => 10 [[[]],[],[],[[]],[]] => 10 [[[]],[],[],[[],[]]] => 12 [[[]],[],[],[[[]]]] => 12 [[[]],[],[[]],[],[]] => 10 [[[]],[],[[]],[[]]] => 4 [[[]],[],[[],[]],[]] => 12 [[[]],[],[[[]]],[]] => 12 [[[]],[],[[],[],[]]] => 6 [[[]],[],[[],[[]]]] => 12 [[[]],[],[[[]],[]]] => 12 [[[]],[],[[[],[]]]] => 6 [[[]],[],[[[[]]]]] => 6 [[[]],[[]],[],[],[]] => 10 [[[]],[[]],[],[[]]] => 4 [[[]],[[]],[[]],[]] => 4 [[[]],[[]],[[],[]]] => 3 [[[]],[[]],[[[]]]] => 3 [[[]],[[],[]],[],[]] => 12 [[[]],[[[]]],[],[]] => 12 [[[]],[[],[]],[[]]] => 3 [[[]],[[[]]],[[]]] => 3 [[[]],[[],[],[]],[]] => 6 [[[]],[[],[[]]],[]] => 12 [[[]],[[[]],[]],[]] => 12 [[[]],[[[],[]]],[]] => 6 [[[]],[[[[]]]],[]] => 6 [[[]],[[],[],[],[]]] => 2 [[[]],[[],[],[[]]]] => 6 [[[]],[[],[[]],[]]] => 6 [[[]],[[],[[],[]]]] => 4 [[[]],[[],[[[]]]]] => 4 [[[]],[[[]],[],[]]] => 6 [[[]],[[[]],[[]]]] => 2 [[[]],[[[],[]],[]]] => 4 [[[]],[[[[]]],[]]] => 4 [[[]],[[[],[],[]]]] => 2 [[[]],[[[],[[]]]]] => 4 [[[]],[[[[]],[]]]] => 4 [[[]],[[[[],[]]]]] => 2 [[[]],[[[[[]]]]]] => 2 [[[],[]],[],[],[],[]] => 5 [[[[]]],[],[],[],[]] => 5 [[[],[]],[],[],[[]]] => 12 [[[[]]],[],[],[[]]] => 12 [[[],[]],[],[[]],[]] => 12 [[[[]]],[],[[]],[]] => 12 [[[],[]],[],[[],[]]] => 3 [[[],[]],[],[[[]]]] => 6 [[[[]]],[],[[],[]]] => 6 [[[[]]],[],[[[]]]] => 3 [[[],[]],[[]],[],[]] => 12 [[[[]]],[[]],[],[]] => 12 [[[],[]],[[]],[[]]] => 3 [[[[]]],[[]],[[]]] => 3 [[[],[]],[[],[]],[]] => 3 [[[],[]],[[[]]],[]] => 6 [[[[]]],[[],[]],[]] => 6 [[[[]]],[[[]]],[]] => 3 [[[],[]],[[],[],[]]] => 2 [[[],[]],[[],[[]]]] => 4 [[[],[]],[[[]],[]]] => 4 [[[],[]],[[[],[]]]] => 2 [[[],[]],[[[[]]]]] => 2 [[[[]]],[[],[],[]]] => 2 [[[[]]],[[],[[]]]] => 4 [[[[]]],[[[]],[]]] => 4 [[[[]]],[[[],[]]]] => 2 [[[[]]],[[[[]]]]] => 2 [[[],[],[]],[],[],[]] => 4 [[[],[[]]],[],[],[]] => 8 [[[[]],[]],[],[],[]] => 8 [[[[],[]]],[],[],[]] => 4 [[[[[]]]],[],[],[]] => 4 [[[],[],[]],[],[[]]] => 6 [[[],[[]]],[],[[]]] => 12 [[[[]],[]],[],[[]]] => 12 [[[[],[]]],[],[[]]] => 6 [[[[[]]]],[],[[]]] => 6 [[[],[],[]],[[]],[]] => 6 [[[],[[]]],[[]],[]] => 12 [[[[]],[]],[[]],[]] => 12 [[[[],[]]],[[]],[]] => 6 [[[[[]]]],[[]],[]] => 6 [[[],[],[]],[[],[]]] => 2 [[[],[],[]],[[[]]]] => 2 [[[],[[]]],[[],[]]] => 4 [[[],[[]]],[[[]]]] => 4 [[[[]],[]],[[],[]]] => 4 [[[[]],[]],[[[]]]] => 4 [[[[],[]]],[[],[]]] => 2 [[[[],[]]],[[[]]]] => 2 [[[[[]]]],[[],[]]] => 2 [[[[[]]]],[[[]]]] => 2 [[[],[],[],[]],[],[]] => 3 [[[],[],[[]]],[],[]] => 9 [[[],[[]],[]],[],[]] => 9 [[[],[[],[]]],[],[]] => 6 [[[],[[[]]]],[],[]] => 6 [[[[]],[],[]],[],[]] => 9 [[[[]],[[]]],[],[]] => 3 [[[[],[]],[]],[],[]] => 6 [[[[[]]],[]],[],[]] => 6 [[[[],[],[]]],[],[]] => 3 [[[[],[[]]]],[],[]] => 6 [[[[[]],[]]],[],[]] => 6 [[[[[],[]]]],[],[]] => 3 [[[[[[]]]]],[],[]] => 3 [[[],[],[],[]],[[]]] => 2 [[[],[],[[]]],[[]]] => 6 [[[],[[]],[]],[[]]] => 6 [[[],[[],[]]],[[]]] => 4 [[[],[[[]]]],[[]]] => 4 [[[[]],[],[]],[[]]] => 6 [[[[]],[[]]],[[]]] => 2 [[[[],[]],[]],[[]]] => 4 [[[[[]]],[]],[[]]] => 4 [[[[],[],[]]],[[]]] => 2 [[[[],[[]]]],[[]]] => 4 [[[[[]],[]]],[[]]] => 4 [[[[[],[]]]],[[]]] => 2 [[[[[[]]]]],[[]]] => 2 [[[],[],[],[],[]],[]] => 2 [[[],[],[],[[]]],[]] => 8 [[[],[],[[]],[]],[]] => 8 [[[],[],[[],[]]],[]] => 6 [[[],[],[[[]]]],[]] => 6 [[[],[[]],[],[]],[]] => 8 [[[],[[]],[[]]],[]] => 6 [[[],[[],[]],[]],[]] => 6 [[[],[[[]]],[]],[]] => 6 [[[],[[],[],[]]],[]] => 4 [[[],[[],[[]]]],[]] => 8 [[[],[[[]],[]]],[]] => 8 [[[],[[[],[]]]],[]] => 4 [[[],[[[[]]]]],[]] => 4 [[[[]],[],[],[]],[]] => 8 [[[[]],[],[[]]],[]] => 6 [[[[]],[[]],[]],[]] => 6 [[[[]],[[],[]]],[]] => 4 [[[[]],[[[]]]],[]] => 4 [[[[],[]],[],[]],[]] => 6 [[[[[]]],[],[]],[]] => 6 [[[[],[]],[[]]],[]] => 4 [[[[[]]],[[]]],[]] => 4 [[[[],[],[]],[]],[]] => 4 [[[[],[[]]],[]],[]] => 8 [[[[[]],[]],[]],[]] => 8 [[[[[],[]]],[]],[]] => 4 [[[[[[]]]],[]],[]] => 4 [[[[],[],[],[]]],[]] => 2 [[[[],[],[[]]]],[]] => 6 [[[[],[[]],[]]],[]] => 6 [[[[],[[],[]]]],[]] => 4 [[[[],[[[]]]]],[]] => 4 [[[[[]],[],[]]],[]] => 6 [[[[[]],[[]]]],[]] => 2 [[[[[],[]],[]]],[]] => 4 [[[[[[]]],[]]],[]] => 4 [[[[[],[],[]]]],[]] => 2 [[[[[],[[]]]]],[]] => 4 [[[[[[]],[]]]],[]] => 4 [[[[[[],[]]]]],[]] => 2 [[[[[[[]]]]]],[]] => 2 [[[],[],[],[],[],[]]] => 1 [[[],[],[],[],[[]]]] => 5 [[[],[],[],[[]],[]]] => 5 [[[],[],[],[[],[]]]] => 4 [[[],[],[],[[[]]]]] => 4 [[[],[],[[]],[],[]]] => 5 [[[],[],[[]],[[]]]] => 6 [[[],[],[[],[]],[]]] => 4 [[[],[],[[[]]],[]]] => 4 [[[],[],[[],[],[]]]] => 3 [[[],[],[[],[[]]]]] => 6 [[[],[],[[[]],[]]]] => 6 [[[],[],[[[],[]]]]] => 3 [[[],[],[[[[]]]]]] => 3 [[[],[[]],[],[],[]]] => 5 [[[],[[]],[],[[]]]] => 6 [[[],[[]],[[]],[]]] => 6 [[[],[[]],[[],[]]]] => 6 [[[],[[]],[[[]]]]] => 6 [[[],[[],[]],[],[]]] => 4 [[[],[[[]]],[],[]]] => 4 [[[],[[],[]],[[]]]] => 6 [[[],[[[]]],[[]]]] => 6 [[[],[[],[],[]],[]]] => 3 [[[],[[],[[]]],[]]] => 6 [[[],[[[]],[]],[]]] => 6 [[[],[[[],[]]],[]]] => 3 [[[],[[[[]]]],[]]] => 3 [[[],[[],[],[],[]]]] => 2 [[[],[[],[],[[]]]]] => 6 [[[],[[],[[]],[]]]] => 6 [[[],[[],[[],[]]]]] => 4 [[[],[[],[[[]]]]]] => 4 [[[],[[[]],[],[]]]] => 6 [[[],[[[]],[[]]]]] => 2 [[[],[[[],[]],[]]]] => 4 [[[],[[[[]]],[]]]] => 4 [[[],[[[],[],[]]]]] => 2 [[[],[[[],[[]]]]]] => 4 [[[],[[[[]],[]]]]] => 4 [[[],[[[[],[]]]]]] => 2 [[[],[[[[[]]]]]]] => 2 [[[[]],[],[],[],[]]] => 5 [[[[]],[],[],[[]]]] => 6 [[[[]],[],[[]],[]]] => 6 [[[[]],[],[[],[]]]] => 6 [[[[]],[],[[[]]]]] => 6 [[[[]],[[]],[],[]]] => 6 [[[[]],[[]],[[]]]] => 1 [[[[]],[[],[]],[]]] => 6 [[[[]],[[[]]],[]]] => 6 [[[[]],[[],[],[]]]] => 2 [[[[]],[[],[[]]]]] => 4 [[[[]],[[[]],[]]]] => 4 [[[[]],[[[],[]]]]] => 2 [[[[]],[[[[]]]]]] => 2 [[[[],[]],[],[],[]]] => 4 [[[[[]]],[],[],[]]] => 4 [[[[],[]],[],[[]]]] => 6 [[[[[]]],[],[[]]]] => 6 [[[[],[]],[[]],[]]] => 6 [[[[[]]],[[]],[]]] => 6 [[[[],[]],[[],[]]]] => 1 [[[[],[]],[[[]]]]] => 2 [[[[[]]],[[],[]]]] => 2 [[[[[]]],[[[]]]]] => 1 [[[[],[],[]],[],[]]] => 3 [[[[],[[]]],[],[]]] => 6 [[[[[]],[]],[],[]]] => 6 [[[[[],[]]],[],[]]] => 3 [[[[[[]]]],[],[]]] => 3 [[[[],[],[]],[[]]]] => 2 [[[[],[[]]],[[]]]] => 4 [[[[[]],[]],[[]]]] => 4 [[[[[],[]]],[[]]]] => 2 [[[[[[]]]],[[]]]] => 2 [[[[],[],[],[]],[]]] => 2 [[[[],[],[[]]],[]]] => 6 [[[[],[[]],[]],[]]] => 6 [[[[],[[],[]]],[]]] => 4 [[[[],[[[]]]],[]]] => 4 [[[[[]],[],[]],[]]] => 6 [[[[[]],[[]]],[]]] => 2 [[[[[],[]],[]],[]]] => 4 [[[[[[]]],[]],[]]] => 4 [[[[[],[],[]]],[]]] => 2 [[[[[],[[]]]],[]]] => 4 [[[[[[]],[]]],[]]] => 4 [[[[[[],[]]]],[]]] => 2 [[[[[[[]]]]],[]]] => 2 [[[[],[],[],[],[]]]] => 1 [[[[],[],[],[[]]]]] => 4 [[[[],[],[[]],[]]]] => 4 [[[[],[],[[],[]]]]] => 3 [[[[],[],[[[]]]]]] => 3 [[[[],[[]],[],[]]]] => 4 [[[[],[[]],[[]]]]] => 3 [[[[],[[],[]],[]]]] => 3 [[[[],[[[]]],[]]]] => 3 [[[[],[[],[],[]]]]] => 2 [[[[],[[],[[]]]]]] => 4 [[[[],[[[]],[]]]]] => 4 [[[[],[[[],[]]]]]] => 2 [[[[],[[[[]]]]]]] => 2 [[[[[]],[],[],[]]]] => 4 [[[[[]],[],[[]]]]] => 3 [[[[[]],[[]],[]]]] => 3 [[[[[]],[[],[]]]]] => 2 [[[[[]],[[[]]]]]] => 2 [[[[[],[]],[],[]]]] => 3 [[[[[[]]],[],[]]]] => 3 [[[[[],[]],[[]]]]] => 2 [[[[[[]]],[[]]]]] => 2 [[[[[],[],[]],[]]]] => 2 [[[[[],[[]]],[]]]] => 4 [[[[[[]],[]],[]]]] => 4 [[[[[[],[]]],[]]]] => 2 [[[[[[[]]]],[]]]] => 2 [[[[[],[],[],[]]]]] => 1 [[[[[],[],[[]]]]]] => 3 [[[[[],[[]],[]]]]] => 3 [[[[[],[[],[]]]]]] => 2 [[[[[],[[[]]]]]]] => 2 [[[[[[]],[],[]]]]] => 3 [[[[[[]],[[]]]]]] => 1 [[[[[[],[]],[]]]]] => 2 [[[[[[[]]],[]]]]] => 2 [[[[[[],[],[]]]]]] => 1 [[[[[[],[[]]]]]]] => 2 [[[[[[[]],[]]]]]] => 2 [[[[[[[],[]]]]]]] => 1 [[[[[[[[]]]]]]]] => 1 [[],[],[],[],[],[],[],[]] => 1 [[],[],[],[],[],[],[[]]] => 7 [[],[],[],[],[],[[]],[]] => 7 [[],[],[],[],[],[[],[]]] => 6 [[],[],[],[],[],[[[]]]] => 6 [[],[],[],[],[[]],[],[]] => 7 [[],[],[],[],[[]],[[]]] => 15 [[],[],[],[],[[],[]],[]] => 6 [[],[],[],[],[[[]]],[]] => 6 [[],[],[],[],[[],[],[]]] => 5 [[],[],[],[],[[],[[]]]] => 10 [[],[],[],[],[[[]],[]]] => 10 [[],[],[],[],[[[],[]]]] => 5 [[],[],[],[],[[[[]]]]] => 5 [[],[],[],[[]],[],[],[]] => 7 [[],[],[],[[]],[],[[]]] => 15 [[],[],[],[[]],[[]],[]] => 15 [[],[],[],[[]],[[],[]]] => 20 [[],[],[],[[]],[[[]]]] => 20 [[],[],[],[[],[]],[],[]] => 6 [[],[],[],[[[]]],[],[]] => 6 [[],[],[],[[],[]],[[]]] => 20 [[],[],[],[[[]]],[[]]] => 20 [[],[],[],[[],[],[]],[]] => 5 [[],[],[],[[],[[]]],[]] => 10 [[],[],[],[[[]],[]],[]] => 10 [[],[],[],[[[],[]]],[]] => 5 [[],[],[],[[[[]]]],[]] => 5 [[],[],[],[[],[],[],[]]] => 4 [[],[],[],[[],[],[[]]]] => 12 [[],[],[],[[],[[]],[]]] => 12 [[],[],[],[[],[[],[]]]] => 8 [[],[],[],[[],[[[]]]]] => 8 [[],[],[],[[[]],[],[]]] => 12 [[],[],[],[[[]],[[]]]] => 4 [[],[],[],[[[],[]],[]]] => 8 [[],[],[],[[[[]]],[]]] => 8 [[],[],[],[[[],[],[]]]] => 4 [[],[],[],[[[],[[]]]]] => 8 [[],[],[],[[[[]],[]]]] => 8 [[],[],[],[[[[],[]]]]] => 4 [[],[],[],[[[[[]]]]]] => 4 [[],[],[[]],[],[],[],[]] => 7 [[],[],[[]],[],[],[[]]] => 15 [[],[],[[]],[],[[]],[]] => 15 [[],[],[[]],[],[[],[]]] => 20 [[],[],[[]],[],[[[]]]] => 20 [[],[],[[]],[[]],[],[]] => 15 [[],[],[[]],[[]],[[]]] => 10 [[],[],[[]],[[],[]],[]] => 20 [[],[],[[]],[[[]]],[]] => 20 [[],[],[[]],[[],[],[]]] => 12 [[],[],[[]],[[],[[]]]] => 24 [[],[],[[]],[[[]],[]]] => 24 [[],[],[[]],[[[],[]]]] => 12 [[],[],[[]],[[[[]]]]] => 12 [[],[],[[],[]],[],[],[]] => 6 [[],[],[[[]]],[],[],[]] => 6 [[],[],[[],[]],[],[[]]] => 20 [[],[],[[[]]],[],[[]]] => 20 [[],[],[[],[]],[[]],[]] => 20 [[],[],[[[]]],[[]],[]] => 20 [[],[],[[],[]],[[],[]]] => 6 [[],[],[[],[]],[[[]]]] => 12 [[],[],[[[]]],[[],[]]] => 12 [[],[],[[[]]],[[[]]]] => 6 [[],[],[[],[],[]],[],[]] => 5 [[],[],[[],[[]]],[],[]] => 10 [[],[],[[[]],[]],[],[]] => 10 [[],[],[[[],[]]],[],[]] => 5 [[],[],[[[[]]]],[],[]] => 5 [[],[],[[],[],[]],[[]]] => 12 [[],[],[[],[[]]],[[]]] => 24 [[],[],[[[]],[]],[[]]] => 24 [[],[],[[[],[]]],[[]]] => 12 [[],[],[[[[]]]],[[]]] => 12 [[],[],[[],[],[],[]],[]] => 4 [[],[],[[],[],[[]]],[]] => 12 [[],[],[[],[[]],[]],[]] => 12 [[],[],[[],[[],[]]],[]] => 8 [[],[],[[],[[[]]]],[]] => 8 [[],[],[[[]],[],[]],[]] => 12 [[],[],[[[]],[[]]],[]] => 4 [[],[],[[[],[]],[]],[]] => 8 [[],[],[[[[]]],[]],[]] => 8 [[],[],[[[],[],[]]],[]] => 4 [[],[],[[[],[[]]]],[]] => 8 [[],[],[[[[]],[]]],[]] => 8 [[],[],[[[[],[]]]],[]] => 4 [[],[],[[[[[]]]]],[]] => 4 [[],[],[[],[],[],[],[]]] => 3 [[],[],[[],[],[],[[]]]] => 12 [[],[],[[],[],[[]],[]]] => 12 [[],[],[[],[],[[],[]]]] => 9 [[],[],[[],[],[[[]]]]] => 9 [[],[],[[],[[]],[],[]]] => 12 [[],[],[[],[[]],[[]]]] => 9 [[],[],[[],[[],[]],[]]] => 9 [[],[],[[],[[[]]],[]]] => 9 [[],[],[[],[[],[],[]]]] => 6 [[],[],[[],[[],[[]]]]] => 12 [[],[],[[],[[[]],[]]]] => 12 [[],[],[[],[[[],[]]]]] => 6 [[],[],[[],[[[[]]]]]] => 6 [[],[],[[[]],[],[],[]]] => 12 [[],[],[[[]],[],[[]]]] => 9 [[],[],[[[]],[[]],[]]] => 9 [[],[],[[[]],[[],[]]]] => 6 [[],[],[[[]],[[[]]]]] => 6 [[],[],[[[],[]],[],[]]] => 9 [[],[],[[[[]]],[],[]]] => 9 [[],[],[[[],[]],[[]]]] => 6 [[],[],[[[[]]],[[]]]] => 6 [[],[],[[[],[],[]],[]]] => 6 [[],[],[[[],[[]]],[]]] => 12 [[],[],[[[[]],[]],[]]] => 12 [[],[],[[[[],[]]],[]]] => 6 [[],[],[[[[[]]]],[]]] => 6 [[],[],[[[],[],[],[]]]] => 3 [[],[],[[[],[],[[]]]]] => 9 [[],[],[[[],[[]],[]]]] => 9 [[],[],[[[],[[],[]]]]] => 6 [[],[],[[[],[[[]]]]]] => 6 [[],[],[[[[]],[],[]]]] => 9 [[],[],[[[[]],[[]]]]] => 3 [[],[],[[[[],[]],[]]]] => 6 [[],[],[[[[[]]],[]]]] => 6 [[],[],[[[[],[],[]]]]] => 3 [[],[],[[[[],[[]]]]]] => 6 [[],[],[[[[[]],[]]]]] => 6 [[],[],[[[[[],[]]]]]] => 3 [[],[],[[[[[[]]]]]]] => 3 [[],[[]],[],[],[],[],[]] => 7 [[],[[]],[],[],[],[[]]] => 15 [[],[[]],[],[],[[]],[]] => 15 [[],[[]],[],[],[[],[]]] => 20 [[],[[]],[],[],[[[]]]] => 20 [[],[[]],[],[[]],[],[]] => 15 [[],[[]],[],[[]],[[]]] => 10 [[],[[]],[],[[],[]],[]] => 20 [[],[[]],[],[[[]]],[]] => 20 [[],[[]],[],[[],[],[]]] => 12 [[],[[]],[],[[],[[]]]] => 24 [[],[[]],[],[[[]],[]]] => 24 [[],[[]],[],[[[],[]]]] => 12 [[],[[]],[],[[[[]]]]] => 12 [[],[[]],[[]],[],[],[]] => 15 [[],[[]],[[]],[],[[]]] => 10 [[],[[]],[[]],[[]],[]] => 10 [[],[[]],[[]],[[],[]]] => 12 [[],[[]],[[]],[[[]]]] => 12 [[],[[]],[[],[]],[],[]] => 20 [[],[[]],[[[]]],[],[]] => 20 [[],[[]],[[],[]],[[]]] => 12 [[],[[]],[[[]]],[[]]] => 12 [[],[[]],[[],[],[]],[]] => 12 [[],[[]],[[],[[]]],[]] => 24 [[],[[]],[[[]],[]],[]] => 24 [[],[[]],[[[],[]]],[]] => 12 [[],[[]],[[[[]]]],[]] => 12 [[],[[]],[[],[],[],[]]] => 6 [[],[[]],[[],[],[[]]]] => 18 [[],[[]],[[],[[]],[]]] => 18 [[],[[]],[[],[[],[]]]] => 12 [[],[[]],[[],[[[]]]]] => 12 [[],[[]],[[[]],[],[]]] => 18 [[],[[]],[[[]],[[]]]] => 6 [[],[[]],[[[],[]],[]]] => 12 [[],[[]],[[[[]]],[]]] => 12 [[],[[]],[[[],[],[]]]] => 6 [[],[[]],[[[],[[]]]]] => 12 [[],[[]],[[[[]],[]]]] => 12 [[],[[]],[[[[],[]]]]] => 6 [[],[[]],[[[[[]]]]]] => 6 [[],[[],[]],[],[],[],[]] => 6 [[],[[[]]],[],[],[],[]] => 6 [[],[[],[]],[],[],[[]]] => 20 [[],[[[]]],[],[],[[]]] => 20 [[],[[],[]],[],[[]],[]] => 20 [[],[[[]]],[],[[]],[]] => 20 [[],[[],[]],[],[[],[]]] => 6 [[],[[],[]],[],[[[]]]] => 12 [[],[[[]]],[],[[],[]]] => 12 [[],[[[]]],[],[[[]]]] => 6 [[],[[],[]],[[]],[],[]] => 20 [[],[[[]]],[[]],[],[]] => 20 [[],[[],[]],[[]],[[]]] => 12 [[],[[[]]],[[]],[[]]] => 12 [[],[[],[]],[[],[]],[]] => 6 [[],[[],[]],[[[]]],[]] => 12 [[],[[[]]],[[],[]],[]] => 12 [[],[[[]]],[[[]]],[]] => 6 [[],[[],[]],[[],[],[]]] => 6 [[],[[],[]],[[],[[]]]] => 12 [[],[[],[]],[[[]],[]]] => 12 [[],[[],[]],[[[],[]]]] => 6 [[],[[],[]],[[[[]]]]] => 6 [[],[[[]]],[[],[],[]]] => 6 [[],[[[]]],[[],[[]]]] => 12 [[],[[[]]],[[[]],[]]] => 12 [[],[[[]]],[[[],[]]]] => 6 [[],[[[]]],[[[[]]]]] => 6 [[],[[],[],[]],[],[],[]] => 5 [[],[[],[[]]],[],[],[]] => 10 [[],[[[]],[]],[],[],[]] => 10 [[],[[[],[]]],[],[],[]] => 5 [[],[[[[]]]],[],[],[]] => 5 [[],[[],[],[]],[],[[]]] => 12 [[],[[],[[]]],[],[[]]] => 24 [[],[[[]],[]],[],[[]]] => 24 [[],[[[],[]]],[],[[]]] => 12 [[],[[[[]]]],[],[[]]] => 12 [[],[[],[],[]],[[]],[]] => 12 [[],[[],[[]]],[[]],[]] => 24 [[],[[[]],[]],[[]],[]] => 24 [[],[[[],[]]],[[]],[]] => 12 [[],[[[[]]]],[[]],[]] => 12 [[],[[],[],[]],[[],[]]] => 6 [[],[[],[],[]],[[[]]]] => 6 [[],[[],[[]]],[[],[]]] => 12 [[],[[],[[]]],[[[]]]] => 12 [[],[[[]],[]],[[],[]]] => 12 [[],[[[]],[]],[[[]]]] => 12 [[],[[[],[]]],[[],[]]] => 6 [[],[[[],[]]],[[[]]]] => 6 [[],[[[[]]]],[[],[]]] => 6 [[],[[[[]]]],[[[]]]] => 6 [[],[[],[],[],[]],[],[]] => 4 [[],[[],[],[[]]],[],[]] => 12 [[],[[],[[]],[]],[],[]] => 12 [[],[[],[[],[]]],[],[]] => 8 [[],[[],[[[]]]],[],[]] => 8 [[],[[[]],[],[]],[],[]] => 12 [[],[[[]],[[]]],[],[]] => 4 [[],[[[],[]],[]],[],[]] => 8 [[],[[[[]]],[]],[],[]] => 8 [[],[[[],[],[]]],[],[]] => 4 [[],[[[],[[]]]],[],[]] => 8 [[],[[[[]],[]]],[],[]] => 8 [[],[[[[],[]]]],[],[]] => 4 [[],[[[[[]]]]],[],[]] => 4 [[],[[],[],[],[]],[[]]] => 6 [[],[[],[],[[]]],[[]]] => 18 [[],[[],[[]],[]],[[]]] => 18 [[],[[],[[],[]]],[[]]] => 12 [[],[[],[[[]]]],[[]]] => 12 [[],[[[]],[],[]],[[]]] => 18 [[],[[[]],[[]]],[[]]] => 6 [[],[[[],[]],[]],[[]]] => 12 [[],[[[[]]],[]],[[]]] => 12 [[],[[[],[],[]]],[[]]] => 6 [[],[[[],[[]]]],[[]]] => 12 [[],[[[[]],[]]],[[]]] => 12 [[],[[[[],[]]]],[[]]] => 6 [[],[[[[[]]]]],[[]]] => 6 [[],[[],[],[],[],[]],[]] => 3 [[],[[],[],[],[[]]],[]] => 12 [[],[[],[],[[]],[]],[]] => 12 [[],[[],[],[[],[]]],[]] => 9 [[],[[],[],[[[]]]],[]] => 9 [[],[[],[[]],[],[]],[]] => 12 [[],[[],[[]],[[]]],[]] => 9 [[],[[],[[],[]],[]],[]] => 9 [[],[[],[[[]]],[]],[]] => 9 [[],[[],[[],[],[]]],[]] => 6 [[],[[],[[],[[]]]],[]] => 12 [[],[[],[[[]],[]]],[]] => 12 [[],[[],[[[],[]]]],[]] => 6 [[],[[],[[[[]]]]],[]] => 6 [[],[[[]],[],[],[]],[]] => 12 [[],[[[]],[],[[]]],[]] => 9 [[],[[[]],[[]],[]],[]] => 9 [[],[[[]],[[],[]]],[]] => 6 [[],[[[]],[[[]]]],[]] => 6 [[],[[[],[]],[],[]],[]] => 9 [[],[[[[]]],[],[]],[]] => 9 [[],[[[],[]],[[]]],[]] => 6 [[],[[[[]]],[[]]],[]] => 6 [[],[[[],[],[]],[]],[]] => 6 [[],[[[],[[]]],[]],[]] => 12 [[],[[[[]],[]],[]],[]] => 12 [[],[[[[],[]]],[]],[]] => 6 [[],[[[[[]]]],[]],[]] => 6 [[],[[[],[],[],[]]],[]] => 3 [[],[[[],[],[[]]]],[]] => 9 [[],[[[],[[]],[]]],[]] => 9 [[],[[[],[[],[]]]],[]] => 6 [[],[[[],[[[]]]]],[]] => 6 [[],[[[[]],[],[]]],[]] => 9 [[],[[[[]],[[]]]],[]] => 3 [[],[[[[],[]],[]]],[]] => 6 [[],[[[[[]]],[]]],[]] => 6 [[],[[[[],[],[]]]],[]] => 3 [[],[[[[],[[]]]]],[]] => 6 [[],[[[[[]],[]]]],[]] => 6 [[],[[[[[],[]]]]],[]] => 3 [[],[[[[[[]]]]]],[]] => 3 [[],[[],[],[],[],[],[]]] => 2 [[],[[],[],[],[],[[]]]] => 10 [[],[[],[],[],[[]],[]]] => 10 [[],[[],[],[],[[],[]]]] => 8 [[],[[],[],[],[[[]]]]] => 8 [[],[[],[],[[]],[],[]]] => 10 [[],[[],[],[[]],[[]]]] => 12 [[],[[],[],[[],[]],[]]] => 8 [[],[[],[],[[[]]],[]]] => 8 [[],[[],[],[[],[],[]]]] => 6 [[],[[],[],[[],[[]]]]] => 12 [[],[[],[],[[[]],[]]]] => 12 [[],[[],[],[[[],[]]]]] => 6 [[],[[],[],[[[[]]]]]] => 6 [[],[[],[[]],[],[],[]]] => 10 [[],[[],[[]],[],[[]]]] => 12 [[],[[],[[]],[[]],[]]] => 12 [[],[[],[[]],[[],[]]]] => 12 [[],[[],[[]],[[[]]]]] => 12 [[],[[],[[],[]],[],[]]] => 8 [[],[[],[[[]]],[],[]]] => 8 [[],[[],[[],[]],[[]]]] => 12 [[],[[],[[[]]],[[]]]] => 12 [[],[[],[[],[],[]],[]]] => 6 [[],[[],[[],[[]]],[]]] => 12 [[],[[],[[[]],[]],[]]] => 12 [[],[[],[[[],[]]],[]]] => 6 [[],[[],[[[[]]]],[]]] => 6 [[],[[],[[],[],[],[]]]] => 4 [[],[[],[[],[],[[]]]]] => 12 [[],[[],[[],[[]],[]]]] => 12 [[],[[],[[],[[],[]]]]] => 8 [[],[[],[[],[[[]]]]]] => 8 [[],[[],[[[]],[],[]]]] => 12 [[],[[],[[[]],[[]]]]] => 4 [[],[[],[[[],[]],[]]]] => 8 [[],[[],[[[[]]],[]]]] => 8 [[],[[],[[[],[],[]]]]] => 4 [[],[[],[[[],[[]]]]]] => 8 [[],[[],[[[[]],[]]]]] => 8 [[],[[],[[[[],[]]]]]] => 4 [[],[[],[[[[[]]]]]]] => 4 [[],[[[]],[],[],[],[]]] => 10 [[],[[[]],[],[],[[]]]] => 12 [[],[[[]],[],[[]],[]]] => 12 [[],[[[]],[],[[],[]]]] => 12 [[],[[[]],[],[[[]]]]] => 12 [[],[[[]],[[]],[],[]]] => 12 [[],[[[]],[[]],[[]]]] => 2 [[],[[[]],[[],[]],[]]] => 12 [[],[[[]],[[[]]],[]]] => 12 [[],[[[]],[[],[],[]]]] => 4 [[],[[[]],[[],[[]]]]] => 8 [[],[[[]],[[[]],[]]]] => 8 [[],[[[]],[[[],[]]]]] => 4 [[],[[[]],[[[[]]]]]] => 4 [[],[[[],[]],[],[],[]]] => 8 [[],[[[[]]],[],[],[]]] => 8 [[],[[[],[]],[],[[]]]] => 12 [[],[[[[]]],[],[[]]]] => 12 [[],[[[],[]],[[]],[]]] => 12 [[],[[[[]]],[[]],[]]] => 12 [[],[[[],[]],[[],[]]]] => 2 [[],[[[],[]],[[[]]]]] => 4 [[],[[[[]]],[[],[]]]] => 4 [[],[[[[]]],[[[]]]]] => 2 [[],[[[],[],[]],[],[]]] => 6 [[],[[[],[[]]],[],[]]] => 12 [[],[[[[]],[]],[],[]]] => 12 [[],[[[[],[]]],[],[]]] => 6 [[],[[[[[]]]],[],[]]] => 6 [[],[[[],[],[]],[[]]]] => 4 [[],[[[],[[]]],[[]]]] => 8 [[],[[[[]],[]],[[]]]] => 8 [[],[[[[],[]]],[[]]]] => 4 [[],[[[[[]]]],[[]]]] => 4 [[],[[[],[],[],[]],[]]] => 4 [[],[[[],[],[[]]],[]]] => 12 [[],[[[],[[]],[]],[]]] => 12 [[],[[[],[[],[]]],[]]] => 8 [[],[[[],[[[]]]],[]]] => 8 [[],[[[[]],[],[]],[]]] => 12 [[],[[[[]],[[]]],[]]] => 4 [[],[[[[],[]],[]],[]]] => 8 [[],[[[[[]]],[]],[]]] => 8 [[],[[[[],[],[]]],[]]] => 4 [[],[[[[],[[]]]],[]]] => 8 [[],[[[[[]],[]]],[]]] => 8 [[],[[[[[],[]]]],[]]] => 4 [[],[[[[[[]]]]],[]]] => 4 [[],[[[],[],[],[],[]]]] => 2 [[],[[[],[],[],[[]]]]] => 8 [[],[[[],[],[[]],[]]]] => 8 [[],[[[],[],[[],[]]]]] => 6 [[],[[[],[],[[[]]]]]] => 6 [[],[[[],[[]],[],[]]]] => 8 [[],[[[],[[]],[[]]]]] => 6 [[],[[[],[[],[]],[]]]] => 6 [[],[[[],[[[]]],[]]]] => 6 [[],[[[],[[],[],[]]]]] => 4 [[],[[[],[[],[[]]]]]] => 8 [[],[[[],[[[]],[]]]]] => 8 [[],[[[],[[[],[]]]]]] => 4 [[],[[[],[[[[]]]]]]] => 4 [[],[[[[]],[],[],[]]]] => 8 [[],[[[[]],[],[[]]]]] => 6 [[],[[[[]],[[]],[]]]] => 6 [[],[[[[]],[[],[]]]]] => 4 [[],[[[[]],[[[]]]]]] => 4 [[],[[[[],[]],[],[]]]] => 6 [[],[[[[[]]],[],[]]]] => 6 [[],[[[[],[]],[[]]]]] => 4 [[],[[[[[]]],[[]]]]] => 4 [[],[[[[],[],[]],[]]]] => 4 [[],[[[[],[[]]],[]]]] => 8 [[],[[[[[]],[]],[]]]] => 8 [[],[[[[[],[]]],[]]]] => 4 [[],[[[[[[]]]],[]]]] => 4 [[],[[[[],[],[],[]]]]] => 2 [[],[[[[],[],[[]]]]]] => 6 [[],[[[[],[[]],[]]]]] => 6 [[],[[[[],[[],[]]]]]] => 4 [[],[[[[],[[[]]]]]]] => 4 [[],[[[[[]],[],[]]]]] => 6 [[],[[[[[]],[[]]]]]] => 2 [[],[[[[[],[]],[]]]]] => 4 [[],[[[[[[]]],[]]]]] => 4 [[],[[[[[],[],[]]]]]] => 2 [[],[[[[[],[[]]]]]]] => 4 [[],[[[[[[]],[]]]]]] => 4 [[],[[[[[[],[]]]]]]] => 2 [[],[[[[[[[]]]]]]]] => 2 [[[]],[],[],[],[],[],[]] => 7 [[[]],[],[],[],[],[[]]] => 15 [[[]],[],[],[],[[]],[]] => 15 [[[]],[],[],[],[[],[]]] => 20 [[[]],[],[],[],[[[]]]] => 20 [[[]],[],[],[[]],[],[]] => 15 [[[]],[],[],[[]],[[]]] => 10 [[[]],[],[],[[],[]],[]] => 20 [[[]],[],[],[[[]]],[]] => 20 [[[]],[],[],[[],[],[]]] => 12 [[[]],[],[],[[],[[]]]] => 24 [[[]],[],[],[[[]],[]]] => 24 [[[]],[],[],[[[],[]]]] => 12 [[[]],[],[],[[[[]]]]] => 12 [[[]],[],[[]],[],[],[]] => 15 [[[]],[],[[]],[],[[]]] => 10 [[[]],[],[[]],[[]],[]] => 10 [[[]],[],[[]],[[],[]]] => 12 [[[]],[],[[]],[[[]]]] => 12 [[[]],[],[[],[]],[],[]] => 20 [[[]],[],[[[]]],[],[]] => 20 [[[]],[],[[],[]],[[]]] => 12 [[[]],[],[[[]]],[[]]] => 12 [[[]],[],[[],[],[]],[]] => 12 [[[]],[],[[],[[]]],[]] => 24 [[[]],[],[[[]],[]],[]] => 24 [[[]],[],[[[],[]]],[]] => 12 [[[]],[],[[[[]]]],[]] => 12 [[[]],[],[[],[],[],[]]] => 6 [[[]],[],[[],[],[[]]]] => 18 [[[]],[],[[],[[]],[]]] => 18 [[[]],[],[[],[[],[]]]] => 12 [[[]],[],[[],[[[]]]]] => 12 [[[]],[],[[[]],[],[]]] => 18 [[[]],[],[[[]],[[]]]] => 6 [[[]],[],[[[],[]],[]]] => 12 [[[]],[],[[[[]]],[]]] => 12 [[[]],[],[[[],[],[]]]] => 6 [[[]],[],[[[],[[]]]]] => 12 [[[]],[],[[[[]],[]]]] => 12 [[[]],[],[[[[],[]]]]] => 6 [[[]],[],[[[[[]]]]]] => 6 [[[]],[[]],[],[],[],[]] => 15 [[[]],[[]],[],[],[[]]] => 10 [[[]],[[]],[],[[]],[]] => 10 [[[]],[[]],[],[[],[]]] => 12 [[[]],[[]],[],[[[]]]] => 12 [[[]],[[]],[[]],[],[]] => 10 [[[]],[[]],[[]],[[]]] => 1 [[[]],[[]],[[],[]],[]] => 12 [[[]],[[]],[[[]]],[]] => 12 [[[]],[[]],[[],[],[]]] => 3 [[[]],[[]],[[],[[]]]] => 6 [[[]],[[]],[[[]],[]]] => 6 [[[]],[[]],[[[],[]]]] => 3 [[[]],[[]],[[[[]]]]] => 3 [[[]],[[],[]],[],[],[]] => 20 [[[]],[[[]]],[],[],[]] => 20 [[[]],[[],[]],[],[[]]] => 12 [[[]],[[[]]],[],[[]]] => 12 [[[]],[[],[]],[[]],[]] => 12 [[[]],[[[]]],[[]],[]] => 12 [[[]],[[],[]],[[],[]]] => 3 [[[]],[[],[]],[[[]]]] => 6 [[[]],[[[]]],[[],[]]] => 6 [[[]],[[[]]],[[[]]]] => 3 [[[]],[[],[],[]],[],[]] => 12 [[[]],[[],[[]]],[],[]] => 24 [[[]],[[[]],[]],[],[]] => 24 [[[]],[[[],[]]],[],[]] => 12 [[[]],[[[[]]]],[],[]] => 12 [[[]],[[],[],[]],[[]]] => 3 [[[]],[[],[[]]],[[]]] => 6 [[[]],[[[]],[]],[[]]] => 6 [[[]],[[[],[]]],[[]]] => 3 [[[]],[[[[]]]],[[]]] => 3 [[[]],[[],[],[],[]],[]] => 6 [[[]],[[],[],[[]]],[]] => 18 [[[]],[[],[[]],[]],[]] => 18 [[[]],[[],[[],[]]],[]] => 12 [[[]],[[],[[[]]]],[]] => 12 [[[]],[[[]],[],[]],[]] => 18 [[[]],[[[]],[[]]],[]] => 6 [[[]],[[[],[]],[]],[]] => 12 [[[]],[[[[]]],[]],[]] => 12 [[[]],[[[],[],[]]],[]] => 6 [[[]],[[[],[[]]]],[]] => 12 [[[]],[[[[]],[]]],[]] => 12 [[[]],[[[[],[]]]],[]] => 6 [[[]],[[[[[]]]]],[]] => 6 [[[]],[[],[],[],[],[]]] => 2 [[[]],[[],[],[],[[]]]] => 8 [[[]],[[],[],[[]],[]]] => 8 [[[]],[[],[],[[],[]]]] => 6 [[[]],[[],[],[[[]]]]] => 6 [[[]],[[],[[]],[],[]]] => 8 [[[]],[[],[[]],[[]]]] => 6 [[[]],[[],[[],[]],[]]] => 6 [[[]],[[],[[[]]],[]]] => 6 [[[]],[[],[[],[],[]]]] => 4 [[[]],[[],[[],[[]]]]] => 8 [[[]],[[],[[[]],[]]]] => 8 [[[]],[[],[[[],[]]]]] => 4 [[[]],[[],[[[[]]]]]] => 4 [[[]],[[[]],[],[],[]]] => 8 [[[]],[[[]],[],[[]]]] => 6 [[[]],[[[]],[[]],[]]] => 6 [[[]],[[[]],[[],[]]]] => 4 [[[]],[[[]],[[[]]]]] => 4 [[[]],[[[],[]],[],[]]] => 6 [[[]],[[[[]]],[],[]]] => 6 [[[]],[[[],[]],[[]]]] => 4 [[[]],[[[[]]],[[]]]] => 4 [[[]],[[[],[],[]],[]]] => 4 [[[]],[[[],[[]]],[]]] => 8 [[[]],[[[[]],[]],[]]] => 8 [[[]],[[[[],[]]],[]]] => 4 [[[]],[[[[[]]]],[]]] => 4 [[[]],[[[],[],[],[]]]] => 2 [[[]],[[[],[],[[]]]]] => 6 [[[]],[[[],[[]],[]]]] => 6 [[[]],[[[],[[],[]]]]] => 4 [[[]],[[[],[[[]]]]]] => 4 [[[]],[[[[]],[],[]]]] => 6 [[[]],[[[[]],[[]]]]] => 2 [[[]],[[[[],[]],[]]]] => 4 [[[]],[[[[[]]],[]]]] => 4 [[[]],[[[[],[],[]]]]] => 2 [[[]],[[[[],[[]]]]]] => 4 [[[]],[[[[[]],[]]]]] => 4 [[[]],[[[[[],[]]]]]] => 2 [[[]],[[[[[[]]]]]]] => 2 [[[],[]],[],[],[],[],[]] => 6 [[[[]]],[],[],[],[],[]] => 6 [[[],[]],[],[],[],[[]]] => 20 [[[[]]],[],[],[],[[]]] => 20 [[[],[]],[],[],[[]],[]] => 20 [[[[]]],[],[],[[]],[]] => 20 [[[],[]],[],[],[[],[]]] => 6 [[[],[]],[],[],[[[]]]] => 12 [[[[]]],[],[],[[],[]]] => 12 [[[[]]],[],[],[[[]]]] => 6 [[[],[]],[],[[]],[],[]] => 20 [[[[]]],[],[[]],[],[]] => 20 [[[],[]],[],[[]],[[]]] => 12 [[[[]]],[],[[]],[[]]] => 12 ----------------------------------------------------------------------------- Created: Feb 25, 2016 at 10:56 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Feb 25, 2016 at 10:56 by Martin Rubey