***************************************************************************** * 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: St000397 ----------------------------------------------------------------------------- Collection: Ordered trees ----------------------------------------------------------------------------- Description: The Strahler number of a rooted tree. ----------------------------------------------------------------------------- References: [1] [[wikipedia:Strahler number]] ----------------------------------------------------------------------------- Code: def statistic(T): if len(T) == 0: return 1 else: l = [statistic(S) for S in T] m = max(l) if l.count(m) == 1: return m else: return m+1 ----------------------------------------------------------------------------- Statistic values: [[]] => 1 [[],[]] => 2 [[[]]] => 1 [[],[],[]] => 2 [[],[[]]] => 2 [[[]],[]] => 2 [[[],[]]] => 2 [[[[]]]] => 1 [[],[],[],[]] => 2 [[],[],[[]]] => 2 [[],[[]],[]] => 2 [[],[[],[]]] => 2 [[],[[[]]]] => 2 [[[]],[],[]] => 2 [[[]],[[]]] => 2 [[[],[]],[]] => 2 [[[[]]],[]] => 2 [[[],[],[]]] => 2 [[[],[[]]]] => 2 [[[[]],[]]] => 2 [[[[],[]]]] => 2 [[[[[]]]]] => 1 [[],[],[],[],[]] => 2 [[],[],[],[[]]] => 2 [[],[],[[]],[]] => 2 [[],[],[[],[]]] => 2 [[],[],[[[]]]] => 2 [[],[[]],[],[]] => 2 [[],[[]],[[]]] => 2 [[],[[],[]],[]] => 2 [[],[[[]]],[]] => 2 [[],[[],[],[]]] => 2 [[],[[],[[]]]] => 2 [[],[[[]],[]]] => 2 [[],[[[],[]]]] => 2 [[],[[[[]]]]] => 2 [[[]],[],[],[]] => 2 [[[]],[],[[]]] => 2 [[[]],[[]],[]] => 2 [[[]],[[],[]]] => 2 [[[]],[[[]]]] => 2 [[[],[]],[],[]] => 2 [[[[]]],[],[]] => 2 [[[],[]],[[]]] => 2 [[[[]]],[[]]] => 2 [[[],[],[]],[]] => 2 [[[],[[]]],[]] => 2 [[[[]],[]],[]] => 2 [[[[],[]]],[]] => 2 [[[[[]]]],[]] => 2 [[[],[],[],[]]] => 2 [[[],[],[[]]]] => 2 [[[],[[]],[]]] => 2 [[[],[[],[]]]] => 2 [[[],[[[]]]]] => 2 [[[[]],[],[]]] => 2 [[[[]],[[]]]] => 2 [[[[],[]],[]]] => 2 [[[[[]]],[]]] => 2 [[[[],[],[]]]] => 2 [[[[],[[]]]]] => 2 [[[[[]],[]]]] => 2 [[[[[],[]]]]] => 2 [[[[[[]]]]]] => 1 [[],[],[],[],[],[]] => 2 [[],[],[],[],[[]]] => 2 [[],[],[],[[]],[]] => 2 [[],[],[],[[],[]]] => 2 [[],[],[],[[[]]]] => 2 [[],[],[[]],[],[]] => 2 [[],[],[[]],[[]]] => 2 [[],[],[[],[]],[]] => 2 [[],[],[[[]]],[]] => 2 [[],[],[[],[],[]]] => 2 [[],[],[[],[[]]]] => 2 [[],[],[[[]],[]]] => 2 [[],[],[[[],[]]]] => 2 [[],[],[[[[]]]]] => 2 [[],[[]],[],[],[]] => 2 [[],[[]],[],[[]]] => 2 [[],[[]],[[]],[]] => 2 [[],[[]],[[],[]]] => 2 [[],[[]],[[[]]]] => 2 [[],[[],[]],[],[]] => 2 [[],[[[]]],[],[]] => 2 [[],[[],[]],[[]]] => 2 [[],[[[]]],[[]]] => 2 [[],[[],[],[]],[]] => 2 [[],[[],[[]]],[]] => 2 [[],[[[]],[]],[]] => 2 [[],[[[],[]]],[]] => 2 [[],[[[[]]]],[]] => 2 [[],[[],[],[],[]]] => 2 [[],[[],[],[[]]]] => 2 [[],[[],[[]],[]]] => 2 [[],[[],[[],[]]]] => 2 [[],[[],[[[]]]]] => 2 [[],[[[]],[],[]]] => 2 [[],[[[]],[[]]]] => 2 [[],[[[],[]],[]]] => 2 [[],[[[[]]],[]]] => 2 [[],[[[],[],[]]]] => 2 [[],[[[],[[]]]]] => 2 [[],[[[[]],[]]]] => 2 [[],[[[[],[]]]]] => 2 [[],[[[[[]]]]]] => 2 [[[]],[],[],[],[]] => 2 [[[]],[],[],[[]]] => 2 [[[]],[],[[]],[]] => 2 [[[]],[],[[],[]]] => 2 [[[]],[],[[[]]]] => 2 [[[]],[[]],[],[]] => 2 [[[]],[[]],[[]]] => 2 [[[]],[[],[]],[]] => 2 [[[]],[[[]]],[]] => 2 [[[]],[[],[],[]]] => 2 [[[]],[[],[[]]]] => 2 [[[]],[[[]],[]]] => 2 [[[]],[[[],[]]]] => 2 [[[]],[[[[]]]]] => 2 [[[],[]],[],[],[]] => 2 [[[[]]],[],[],[]] => 2 [[[],[]],[],[[]]] => 2 [[[[]]],[],[[]]] => 2 [[[],[]],[[]],[]] => 2 [[[[]]],[[]],[]] => 2 [[[],[]],[[],[]]] => 3 [[[],[]],[[[]]]] => 2 [[[[]]],[[],[]]] => 2 [[[[]]],[[[]]]] => 2 [[[],[],[]],[],[]] => 2 [[[],[[]]],[],[]] => 2 [[[[]],[]],[],[]] => 2 [[[[],[]]],[],[]] => 2 [[[[[]]]],[],[]] => 2 [[[],[],[]],[[]]] => 2 [[[],[[]]],[[]]] => 2 [[[[]],[]],[[]]] => 2 [[[[],[]]],[[]]] => 2 [[[[[]]]],[[]]] => 2 [[[],[],[],[]],[]] => 2 [[[],[],[[]]],[]] => 2 [[[],[[]],[]],[]] => 2 [[[],[[],[]]],[]] => 2 [[[],[[[]]]],[]] => 2 [[[[]],[],[]],[]] => 2 [[[[]],[[]]],[]] => 2 [[[[],[]],[]],[]] => 2 [[[[[]]],[]],[]] => 2 [[[[],[],[]]],[]] => 2 [[[[],[[]]]],[]] => 2 [[[[[]],[]]],[]] => 2 [[[[[],[]]]],[]] => 2 [[[[[[]]]]],[]] => 2 [[[],[],[],[],[]]] => 2 [[[],[],[],[[]]]] => 2 [[[],[],[[]],[]]] => 2 [[[],[],[[],[]]]] => 2 [[[],[],[[[]]]]] => 2 [[[],[[]],[],[]]] => 2 [[[],[[]],[[]]]] => 2 [[[],[[],[]],[]]] => 2 [[[],[[[]]],[]]] => 2 [[[],[[],[],[]]]] => 2 [[[],[[],[[]]]]] => 2 [[[],[[[]],[]]]] => 2 [[[],[[[],[]]]]] => 2 [[[],[[[[]]]]]] => 2 [[[[]],[],[],[]]] => 2 [[[[]],[],[[]]]] => 2 [[[[]],[[]],[]]] => 2 [[[[]],[[],[]]]] => 2 [[[[]],[[[]]]]] => 2 [[[[],[]],[],[]]] => 2 [[[[[]]],[],[]]] => 2 [[[[],[]],[[]]]] => 2 [[[[[]]],[[]]]] => 2 [[[[],[],[]],[]]] => 2 [[[[],[[]]],[]]] => 2 [[[[[]],[]],[]]] => 2 [[[[[],[]]],[]]] => 2 [[[[[[]]]],[]]] => 2 [[[[],[],[],[]]]] => 2 [[[[],[],[[]]]]] => 2 [[[[],[[]],[]]]] => 2 [[[[],[[],[]]]]] => 2 [[[[],[[[]]]]]] => 2 [[[[[]],[],[]]]] => 2 [[[[[]],[[]]]]] => 2 [[[[[],[]],[]]]] => 2 [[[[[[]]],[]]]] => 2 [[[[[],[],[]]]]] => 2 [[[[[],[[]]]]]] => 2 [[[[[[]],[]]]]] => 2 [[[[[[],[]]]]]] => 2 [[[[[[[]]]]]]] => 1 [[],[],[],[],[],[],[]] => 2 [[],[],[],[],[],[[]]] => 2 [[],[],[],[],[[]],[]] => 2 [[],[],[],[],[[],[]]] => 2 [[],[],[],[],[[[]]]] => 2 [[],[],[],[[]],[],[]] => 2 [[],[],[],[[]],[[]]] => 2 [[],[],[],[[],[]],[]] => 2 [[],[],[],[[[]]],[]] => 2 [[],[],[],[[],[],[]]] => 2 [[],[],[],[[],[[]]]] => 2 [[],[],[],[[[]],[]]] => 2 [[],[],[],[[[],[]]]] => 2 [[],[],[],[[[[]]]]] => 2 [[],[],[[]],[],[],[]] => 2 [[],[],[[]],[],[[]]] => 2 [[],[],[[]],[[]],[]] => 2 [[],[],[[]],[[],[]]] => 2 [[],[],[[]],[[[]]]] => 2 [[],[],[[],[]],[],[]] => 2 [[],[],[[[]]],[],[]] => 2 [[],[],[[],[]],[[]]] => 2 [[],[],[[[]]],[[]]] => 2 [[],[],[[],[],[]],[]] => 2 [[],[],[[],[[]]],[]] => 2 [[],[],[[[]],[]],[]] => 2 [[],[],[[[],[]]],[]] => 2 [[],[],[[[[]]]],[]] => 2 [[],[],[[],[],[],[]]] => 2 [[],[],[[],[],[[]]]] => 2 [[],[],[[],[[]],[]]] => 2 [[],[],[[],[[],[]]]] => 2 [[],[],[[],[[[]]]]] => 2 [[],[],[[[]],[],[]]] => 2 [[],[],[[[]],[[]]]] => 2 [[],[],[[[],[]],[]]] => 2 [[],[],[[[[]]],[]]] => 2 [[],[],[[[],[],[]]]] => 2 [[],[],[[[],[[]]]]] => 2 [[],[],[[[[]],[]]]] => 2 [[],[],[[[[],[]]]]] => 2 [[],[],[[[[[]]]]]] => 2 [[],[[]],[],[],[],[]] => 2 [[],[[]],[],[],[[]]] => 2 [[],[[]],[],[[]],[]] => 2 [[],[[]],[],[[],[]]] => 2 [[],[[]],[],[[[]]]] => 2 [[],[[]],[[]],[],[]] => 2 [[],[[]],[[]],[[]]] => 2 [[],[[]],[[],[]],[]] => 2 [[],[[]],[[[]]],[]] => 2 [[],[[]],[[],[],[]]] => 2 [[],[[]],[[],[[]]]] => 2 [[],[[]],[[[]],[]]] => 2 [[],[[]],[[[],[]]]] => 2 [[],[[]],[[[[]]]]] => 2 [[],[[],[]],[],[],[]] => 2 [[],[[[]]],[],[],[]] => 2 [[],[[],[]],[],[[]]] => 2 [[],[[[]]],[],[[]]] => 2 [[],[[],[]],[[]],[]] => 2 [[],[[[]]],[[]],[]] => 2 [[],[[],[]],[[],[]]] => 3 [[],[[],[]],[[[]]]] => 2 [[],[[[]]],[[],[]]] => 2 [[],[[[]]],[[[]]]] => 2 [[],[[],[],[]],[],[]] => 2 [[],[[],[[]]],[],[]] => 2 [[],[[[]],[]],[],[]] => 2 [[],[[[],[]]],[],[]] => 2 [[],[[[[]]]],[],[]] => 2 [[],[[],[],[]],[[]]] => 2 [[],[[],[[]]],[[]]] => 2 [[],[[[]],[]],[[]]] => 2 [[],[[[],[]]],[[]]] => 2 [[],[[[[]]]],[[]]] => 2 [[],[[],[],[],[]],[]] => 2 [[],[[],[],[[]]],[]] => 2 [[],[[],[[]],[]],[]] => 2 [[],[[],[[],[]]],[]] => 2 [[],[[],[[[]]]],[]] => 2 [[],[[[]],[],[]],[]] => 2 [[],[[[]],[[]]],[]] => 2 [[],[[[],[]],[]],[]] => 2 [[],[[[[]]],[]],[]] => 2 [[],[[[],[],[]]],[]] => 2 [[],[[[],[[]]]],[]] => 2 [[],[[[[]],[]]],[]] => 2 [[],[[[[],[]]]],[]] => 2 [[],[[[[[]]]]],[]] => 2 [[],[[],[],[],[],[]]] => 2 [[],[[],[],[],[[]]]] => 2 [[],[[],[],[[]],[]]] => 2 [[],[[],[],[[],[]]]] => 2 [[],[[],[],[[[]]]]] => 2 [[],[[],[[]],[],[]]] => 2 [[],[[],[[]],[[]]]] => 2 [[],[[],[[],[]],[]]] => 2 [[],[[],[[[]]],[]]] => 2 [[],[[],[[],[],[]]]] => 2 [[],[[],[[],[[]]]]] => 2 [[],[[],[[[]],[]]]] => 2 [[],[[],[[[],[]]]]] => 2 [[],[[],[[[[]]]]]] => 2 [[],[[[]],[],[],[]]] => 2 [[],[[[]],[],[[]]]] => 2 [[],[[[]],[[]],[]]] => 2 [[],[[[]],[[],[]]]] => 2 [[],[[[]],[[[]]]]] => 2 [[],[[[],[]],[],[]]] => 2 [[],[[[[]]],[],[]]] => 2 [[],[[[],[]],[[]]]] => 2 [[],[[[[]]],[[]]]] => 2 [[],[[[],[],[]],[]]] => 2 [[],[[[],[[]]],[]]] => 2 [[],[[[[]],[]],[]]] => 2 [[],[[[[],[]]],[]]] => 2 [[],[[[[[]]]],[]]] => 2 [[],[[[],[],[],[]]]] => 2 [[],[[[],[],[[]]]]] => 2 [[],[[[],[[]],[]]]] => 2 [[],[[[],[[],[]]]]] => 2 [[],[[[],[[[]]]]]] => 2 [[],[[[[]],[],[]]]] => 2 [[],[[[[]],[[]]]]] => 2 [[],[[[[],[]],[]]]] => 2 [[],[[[[[]]],[]]]] => 2 [[],[[[[],[],[]]]]] => 2 [[],[[[[],[[]]]]]] => 2 [[],[[[[[]],[]]]]] => 2 [[],[[[[[],[]]]]]] => 2 [[],[[[[[[]]]]]]] => 2 [[[]],[],[],[],[],[]] => 2 [[[]],[],[],[],[[]]] => 2 [[[]],[],[],[[]],[]] => 2 [[[]],[],[],[[],[]]] => 2 [[[]],[],[],[[[]]]] => 2 [[[]],[],[[]],[],[]] => 2 [[[]],[],[[]],[[]]] => 2 [[[]],[],[[],[]],[]] => 2 [[[]],[],[[[]]],[]] => 2 [[[]],[],[[],[],[]]] => 2 [[[]],[],[[],[[]]]] => 2 [[[]],[],[[[]],[]]] => 2 [[[]],[],[[[],[]]]] => 2 [[[]],[],[[[[]]]]] => 2 [[[]],[[]],[],[],[]] => 2 [[[]],[[]],[],[[]]] => 2 [[[]],[[]],[[]],[]] => 2 [[[]],[[]],[[],[]]] => 2 [[[]],[[]],[[[]]]] => 2 [[[]],[[],[]],[],[]] => 2 [[[]],[[[]]],[],[]] => 2 [[[]],[[],[]],[[]]] => 2 [[[]],[[[]]],[[]]] => 2 [[[]],[[],[],[]],[]] => 2 [[[]],[[],[[]]],[]] => 2 [[[]],[[[]],[]],[]] => 2 [[[]],[[[],[]]],[]] => 2 [[[]],[[[[]]]],[]] => 2 [[[]],[[],[],[],[]]] => 2 [[[]],[[],[],[[]]]] => 2 [[[]],[[],[[]],[]]] => 2 [[[]],[[],[[],[]]]] => 2 [[[]],[[],[[[]]]]] => 2 [[[]],[[[]],[],[]]] => 2 [[[]],[[[]],[[]]]] => 2 [[[]],[[[],[]],[]]] => 2 [[[]],[[[[]]],[]]] => 2 [[[]],[[[],[],[]]]] => 2 [[[]],[[[],[[]]]]] => 2 [[[]],[[[[]],[]]]] => 2 [[[]],[[[[],[]]]]] => 2 [[[]],[[[[[]]]]]] => 2 [[[],[]],[],[],[],[]] => 2 [[[[]]],[],[],[],[]] => 2 [[[],[]],[],[],[[]]] => 2 [[[[]]],[],[],[[]]] => 2 [[[],[]],[],[[]],[]] => 2 [[[[]]],[],[[]],[]] => 2 [[[],[]],[],[[],[]]] => 3 [[[],[]],[],[[[]]]] => 2 [[[[]]],[],[[],[]]] => 2 [[[[]]],[],[[[]]]] => 2 [[[],[]],[[]],[],[]] => 2 [[[[]]],[[]],[],[]] => 2 [[[],[]],[[]],[[]]] => 2 [[[[]]],[[]],[[]]] => 2 [[[],[]],[[],[]],[]] => 3 [[[],[]],[[[]]],[]] => 2 [[[[]]],[[],[]],[]] => 2 [[[[]]],[[[]]],[]] => 2 [[[],[]],[[],[],[]]] => 3 [[[],[]],[[],[[]]]] => 3 [[[],[]],[[[]],[]]] => 3 [[[],[]],[[[],[]]]] => 3 [[[],[]],[[[[]]]]] => 2 [[[[]]],[[],[],[]]] => 2 [[[[]]],[[],[[]]]] => 2 [[[[]]],[[[]],[]]] => 2 [[[[]]],[[[],[]]]] => 2 [[[[]]],[[[[]]]]] => 2 [[[],[],[]],[],[],[]] => 2 [[[],[[]]],[],[],[]] => 2 [[[[]],[]],[],[],[]] => 2 [[[[],[]]],[],[],[]] => 2 [[[[[]]]],[],[],[]] => 2 [[[],[],[]],[],[[]]] => 2 [[[],[[]]],[],[[]]] => 2 [[[[]],[]],[],[[]]] => 2 [[[[],[]]],[],[[]]] => 2 [[[[[]]]],[],[[]]] => 2 [[[],[],[]],[[]],[]] => 2 [[[],[[]]],[[]],[]] => 2 [[[[]],[]],[[]],[]] => 2 [[[[],[]]],[[]],[]] => 2 [[[[[]]]],[[]],[]] => 2 [[[],[],[]],[[],[]]] => 3 [[[],[],[]],[[[]]]] => 2 [[[],[[]]],[[],[]]] => 3 [[[],[[]]],[[[]]]] => 2 [[[[]],[]],[[],[]]] => 3 [[[[]],[]],[[[]]]] => 2 [[[[],[]]],[[],[]]] => 3 [[[[],[]]],[[[]]]] => 2 [[[[[]]]],[[],[]]] => 2 [[[[[]]]],[[[]]]] => 2 [[[],[],[],[]],[],[]] => 2 [[[],[],[[]]],[],[]] => 2 [[[],[[]],[]],[],[]] => 2 [[[],[[],[]]],[],[]] => 2 [[[],[[[]]]],[],[]] => 2 [[[[]],[],[]],[],[]] => 2 [[[[]],[[]]],[],[]] => 2 [[[[],[]],[]],[],[]] => 2 [[[[[]]],[]],[],[]] => 2 [[[[],[],[]]],[],[]] => 2 [[[[],[[]]]],[],[]] => 2 [[[[[]],[]]],[],[]] => 2 [[[[[],[]]]],[],[]] => 2 [[[[[[]]]]],[],[]] => 2 [[[],[],[],[]],[[]]] => 2 [[[],[],[[]]],[[]]] => 2 [[[],[[]],[]],[[]]] => 2 [[[],[[],[]]],[[]]] => 2 [[[],[[[]]]],[[]]] => 2 [[[[]],[],[]],[[]]] => 2 [[[[]],[[]]],[[]]] => 2 [[[[],[]],[]],[[]]] => 2 [[[[[]]],[]],[[]]] => 2 [[[[],[],[]]],[[]]] => 2 [[[[],[[]]]],[[]]] => 2 [[[[[]],[]]],[[]]] => 2 [[[[[],[]]]],[[]]] => 2 [[[[[[]]]]],[[]]] => 2 [[[],[],[],[],[]],[]] => 2 [[[],[],[],[[]]],[]] => 2 [[[],[],[[]],[]],[]] => 2 [[[],[],[[],[]]],[]] => 2 [[[],[],[[[]]]],[]] => 2 [[[],[[]],[],[]],[]] => 2 [[[],[[]],[[]]],[]] => 2 [[[],[[],[]],[]],[]] => 2 [[[],[[[]]],[]],[]] => 2 [[[],[[],[],[]]],[]] => 2 [[[],[[],[[]]]],[]] => 2 [[[],[[[]],[]]],[]] => 2 [[[],[[[],[]]]],[]] => 2 [[[],[[[[]]]]],[]] => 2 [[[[]],[],[],[]],[]] => 2 [[[[]],[],[[]]],[]] => 2 [[[[]],[[]],[]],[]] => 2 [[[[]],[[],[]]],[]] => 2 [[[[]],[[[]]]],[]] => 2 [[[[],[]],[],[]],[]] => 2 [[[[[]]],[],[]],[]] => 2 [[[[],[]],[[]]],[]] => 2 [[[[[]]],[[]]],[]] => 2 [[[[],[],[]],[]],[]] => 2 [[[[],[[]]],[]],[]] => 2 [[[[[]],[]],[]],[]] => 2 [[[[[],[]]],[]],[]] => 2 [[[[[[]]]],[]],[]] => 2 [[[[],[],[],[]]],[]] => 2 [[[[],[],[[]]]],[]] => 2 [[[[],[[]],[]]],[]] => 2 [[[[],[[],[]]]],[]] => 2 [[[[],[[[]]]]],[]] => 2 [[[[[]],[],[]]],[]] => 2 [[[[[]],[[]]]],[]] => 2 [[[[[],[]],[]]],[]] => 2 [[[[[[]]],[]]],[]] => 2 [[[[[],[],[]]]],[]] => 2 [[[[[],[[]]]]],[]] => 2 [[[[[[]],[]]]],[]] => 2 [[[[[[],[]]]]],[]] => 2 [[[[[[[]]]]]],[]] => 2 [[[],[],[],[],[],[]]] => 2 [[[],[],[],[],[[]]]] => 2 [[[],[],[],[[]],[]]] => 2 [[[],[],[],[[],[]]]] => 2 [[[],[],[],[[[]]]]] => 2 [[[],[],[[]],[],[]]] => 2 [[[],[],[[]],[[]]]] => 2 [[[],[],[[],[]],[]]] => 2 [[[],[],[[[]]],[]]] => 2 [[[],[],[[],[],[]]]] => 2 [[[],[],[[],[[]]]]] => 2 [[[],[],[[[]],[]]]] => 2 [[[],[],[[[],[]]]]] => 2 [[[],[],[[[[]]]]]] => 2 [[[],[[]],[],[],[]]] => 2 [[[],[[]],[],[[]]]] => 2 [[[],[[]],[[]],[]]] => 2 [[[],[[]],[[],[]]]] => 2 [[[],[[]],[[[]]]]] => 2 [[[],[[],[]],[],[]]] => 2 [[[],[[[]]],[],[]]] => 2 [[[],[[],[]],[[]]]] => 2 [[[],[[[]]],[[]]]] => 2 [[[],[[],[],[]],[]]] => 2 [[[],[[],[[]]],[]]] => 2 [[[],[[[]],[]],[]]] => 2 [[[],[[[],[]]],[]]] => 2 [[[],[[[[]]]],[]]] => 2 [[[],[[],[],[],[]]]] => 2 [[[],[[],[],[[]]]]] => 2 [[[],[[],[[]],[]]]] => 2 [[[],[[],[[],[]]]]] => 2 [[[],[[],[[[]]]]]] => 2 [[[],[[[]],[],[]]]] => 2 [[[],[[[]],[[]]]]] => 2 [[[],[[[],[]],[]]]] => 2 [[[],[[[[]]],[]]]] => 2 [[[],[[[],[],[]]]]] => 2 [[[],[[[],[[]]]]]] => 2 [[[],[[[[]],[]]]]] => 2 [[[],[[[[],[]]]]]] => 2 [[[],[[[[[]]]]]]] => 2 [[[[]],[],[],[],[]]] => 2 [[[[]],[],[],[[]]]] => 2 [[[[]],[],[[]],[]]] => 2 [[[[]],[],[[],[]]]] => 2 [[[[]],[],[[[]]]]] => 2 [[[[]],[[]],[],[]]] => 2 [[[[]],[[]],[[]]]] => 2 [[[[]],[[],[]],[]]] => 2 [[[[]],[[[]]],[]]] => 2 [[[[]],[[],[],[]]]] => 2 [[[[]],[[],[[]]]]] => 2 [[[[]],[[[]],[]]]] => 2 [[[[]],[[[],[]]]]] => 2 [[[[]],[[[[]]]]]] => 2 [[[[],[]],[],[],[]]] => 2 [[[[[]]],[],[],[]]] => 2 [[[[],[]],[],[[]]]] => 2 [[[[[]]],[],[[]]]] => 2 [[[[],[]],[[]],[]]] => 2 [[[[[]]],[[]],[]]] => 2 [[[[],[]],[[],[]]]] => 3 [[[[],[]],[[[]]]]] => 2 [[[[[]]],[[],[]]]] => 2 [[[[[]]],[[[]]]]] => 2 [[[[],[],[]],[],[]]] => 2 [[[[],[[]]],[],[]]] => 2 [[[[[]],[]],[],[]]] => 2 [[[[[],[]]],[],[]]] => 2 [[[[[[]]]],[],[]]] => 2 [[[[],[],[]],[[]]]] => 2 [[[[],[[]]],[[]]]] => 2 [[[[[]],[]],[[]]]] => 2 [[[[[],[]]],[[]]]] => 2 [[[[[[]]]],[[]]]] => 2 [[[[],[],[],[]],[]]] => 2 [[[[],[],[[]]],[]]] => 2 [[[[],[[]],[]],[]]] => 2 [[[[],[[],[]]],[]]] => 2 [[[[],[[[]]]],[]]] => 2 [[[[[]],[],[]],[]]] => 2 [[[[[]],[[]]],[]]] => 2 [[[[[],[]],[]],[]]] => 2 [[[[[[]]],[]],[]]] => 2 [[[[[],[],[]]],[]]] => 2 [[[[[],[[]]]],[]]] => 2 [[[[[[]],[]]],[]]] => 2 [[[[[[],[]]]],[]]] => 2 [[[[[[[]]]]],[]]] => 2 [[[[],[],[],[],[]]]] => 2 [[[[],[],[],[[]]]]] => 2 [[[[],[],[[]],[]]]] => 2 [[[[],[],[[],[]]]]] => 2 [[[[],[],[[[]]]]]] => 2 [[[[],[[]],[],[]]]] => 2 [[[[],[[]],[[]]]]] => 2 [[[[],[[],[]],[]]]] => 2 [[[[],[[[]]],[]]]] => 2 [[[[],[[],[],[]]]]] => 2 [[[[],[[],[[]]]]]] => 2 [[[[],[[[]],[]]]]] => 2 [[[[],[[[],[]]]]]] => 2 [[[[],[[[[]]]]]]] => 2 [[[[[]],[],[],[]]]] => 2 [[[[[]],[],[[]]]]] => 2 [[[[[]],[[]],[]]]] => 2 [[[[[]],[[],[]]]]] => 2 [[[[[]],[[[]]]]]] => 2 [[[[[],[]],[],[]]]] => 2 [[[[[[]]],[],[]]]] => 2 [[[[[],[]],[[]]]]] => 2 [[[[[[]]],[[]]]]] => 2 [[[[[],[],[]],[]]]] => 2 [[[[[],[[]]],[]]]] => 2 [[[[[[]],[]],[]]]] => 2 [[[[[[],[]]],[]]]] => 2 [[[[[[[]]]],[]]]] => 2 [[[[[],[],[],[]]]]] => 2 [[[[[],[],[[]]]]]] => 2 [[[[[],[[]],[]]]]] => 2 [[[[[],[[],[]]]]]] => 2 [[[[[],[[[]]]]]]] => 2 [[[[[[]],[],[]]]]] => 2 [[[[[[]],[[]]]]]] => 2 [[[[[[],[]],[]]]]] => 2 [[[[[[[]]],[]]]]] => 2 [[[[[[],[],[]]]]]] => 2 [[[[[[],[[]]]]]]] => 2 [[[[[[[]],[]]]]]] => 2 [[[[[[[],[]]]]]]] => 2 [[[[[[[[]]]]]]]] => 1 [[],[],[],[],[],[],[],[]] => 2 [[],[],[],[],[],[],[[]]] => 2 [[],[],[],[],[],[[]],[]] => 2 [[],[],[],[],[],[[],[]]] => 2 [[],[],[],[],[],[[[]]]] => 2 [[],[],[],[],[[]],[],[]] => 2 [[],[],[],[],[[]],[[]]] => 2 [[],[],[],[],[[],[]],[]] => 2 [[],[],[],[],[[[]]],[]] => 2 [[],[],[],[],[[],[],[]]] => 2 [[],[],[],[],[[],[[]]]] => 2 [[],[],[],[],[[[]],[]]] => 2 [[],[],[],[],[[[],[]]]] => 2 [[],[],[],[],[[[[]]]]] => 2 [[],[],[],[[]],[],[],[]] => 2 [[],[],[],[[]],[],[[]]] => 2 [[],[],[],[[]],[[]],[]] => 2 [[],[],[],[[]],[[],[]]] => 2 [[],[],[],[[]],[[[]]]] => 2 [[],[],[],[[],[]],[],[]] => 2 [[],[],[],[[[]]],[],[]] => 2 [[],[],[],[[],[]],[[]]] => 2 [[],[],[],[[[]]],[[]]] => 2 [[],[],[],[[],[],[]],[]] => 2 [[],[],[],[[],[[]]],[]] => 2 [[],[],[],[[[]],[]],[]] => 2 [[],[],[],[[[],[]]],[]] => 2 [[],[],[],[[[[]]]],[]] => 2 [[],[],[],[[],[],[],[]]] => 2 [[],[],[],[[],[],[[]]]] => 2 [[],[],[],[[],[[]],[]]] => 2 [[],[],[],[[],[[],[]]]] => 2 [[],[],[],[[],[[[]]]]] => 2 [[],[],[],[[[]],[],[]]] => 2 [[],[],[],[[[]],[[]]]] => 2 [[],[],[],[[[],[]],[]]] => 2 [[],[],[],[[[[]]],[]]] => 2 [[],[],[],[[[],[],[]]]] => 2 [[],[],[],[[[],[[]]]]] => 2 [[],[],[],[[[[]],[]]]] => 2 [[],[],[],[[[[],[]]]]] => 2 [[],[],[],[[[[[]]]]]] => 2 [[],[],[[]],[],[],[],[]] => 2 [[],[],[[]],[],[],[[]]] => 2 [[],[],[[]],[],[[]],[]] => 2 [[],[],[[]],[],[[],[]]] => 2 [[],[],[[]],[],[[[]]]] => 2 [[],[],[[]],[[]],[],[]] => 2 [[],[],[[]],[[]],[[]]] => 2 [[],[],[[]],[[],[]],[]] => 2 [[],[],[[]],[[[]]],[]] => 2 [[],[],[[]],[[],[],[]]] => 2 [[],[],[[]],[[],[[]]]] => 2 [[],[],[[]],[[[]],[]]] => 2 [[],[],[[]],[[[],[]]]] => 2 [[],[],[[]],[[[[]]]]] => 2 [[],[],[[],[]],[],[],[]] => 2 [[],[],[[[]]],[],[],[]] => 2 [[],[],[[],[]],[],[[]]] => 2 [[],[],[[[]]],[],[[]]] => 2 [[],[],[[],[]],[[]],[]] => 2 [[],[],[[[]]],[[]],[]] => 2 [[],[],[[],[]],[[],[]]] => 3 [[],[],[[],[]],[[[]]]] => 2 [[],[],[[[]]],[[],[]]] => 2 [[],[],[[[]]],[[[]]]] => 2 [[],[],[[],[],[]],[],[]] => 2 [[],[],[[],[[]]],[],[]] => 2 [[],[],[[[]],[]],[],[]] => 2 [[],[],[[[],[]]],[],[]] => 2 [[],[],[[[[]]]],[],[]] => 2 [[],[],[[],[],[]],[[]]] => 2 [[],[],[[],[[]]],[[]]] => 2 [[],[],[[[]],[]],[[]]] => 2 [[],[],[[[],[]]],[[]]] => 2 [[],[],[[[[]]]],[[]]] => 2 [[],[],[[],[],[],[]],[]] => 2 [[],[],[[],[],[[]]],[]] => 2 [[],[],[[],[[]],[]],[]] => 2 [[],[],[[],[[],[]]],[]] => 2 [[],[],[[],[[[]]]],[]] => 2 [[],[],[[[]],[],[]],[]] => 2 [[],[],[[[]],[[]]],[]] => 2 [[],[],[[[],[]],[]],[]] => 2 [[],[],[[[[]]],[]],[]] => 2 [[],[],[[[],[],[]]],[]] => 2 [[],[],[[[],[[]]]],[]] => 2 [[],[],[[[[]],[]]],[]] => 2 [[],[],[[[[],[]]]],[]] => 2 [[],[],[[[[[]]]]],[]] => 2 [[],[],[[],[],[],[],[]]] => 2 [[],[],[[],[],[],[[]]]] => 2 [[],[],[[],[],[[]],[]]] => 2 [[],[],[[],[],[[],[]]]] => 2 [[],[],[[],[],[[[]]]]] => 2 [[],[],[[],[[]],[],[]]] => 2 [[],[],[[],[[]],[[]]]] => 2 [[],[],[[],[[],[]],[]]] => 2 [[],[],[[],[[[]]],[]]] => 2 [[],[],[[],[[],[],[]]]] => 2 [[],[],[[],[[],[[]]]]] => 2 [[],[],[[],[[[]],[]]]] => 2 [[],[],[[],[[[],[]]]]] => 2 [[],[],[[],[[[[]]]]]] => 2 [[],[],[[[]],[],[],[]]] => 2 [[],[],[[[]],[],[[]]]] => 2 [[],[],[[[]],[[]],[]]] => 2 [[],[],[[[]],[[],[]]]] => 2 [[],[],[[[]],[[[]]]]] => 2 [[],[],[[[],[]],[],[]]] => 2 [[],[],[[[[]]],[],[]]] => 2 [[],[],[[[],[]],[[]]]] => 2 [[],[],[[[[]]],[[]]]] => 2 [[],[],[[[],[],[]],[]]] => 2 [[],[],[[[],[[]]],[]]] => 2 [[],[],[[[[]],[]],[]]] => 2 [[],[],[[[[],[]]],[]]] => 2 [[],[],[[[[[]]]],[]]] => 2 [[],[],[[[],[],[],[]]]] => 2 [[],[],[[[],[],[[]]]]] => 2 [[],[],[[[],[[]],[]]]] => 2 [[],[],[[[],[[],[]]]]] => 2 [[],[],[[[],[[[]]]]]] => 2 [[],[],[[[[]],[],[]]]] => 2 [[],[],[[[[]],[[]]]]] => 2 [[],[],[[[[],[]],[]]]] => 2 [[],[],[[[[[]]],[]]]] => 2 [[],[],[[[[],[],[]]]]] => 2 [[],[],[[[[],[[]]]]]] => 2 [[],[],[[[[[]],[]]]]] => 2 [[],[],[[[[[],[]]]]]] => 2 [[],[],[[[[[[]]]]]]] => 2 [[],[[]],[],[],[],[],[]] => 2 [[],[[]],[],[],[],[[]]] => 2 [[],[[]],[],[],[[]],[]] => 2 [[],[[]],[],[],[[],[]]] => 2 [[],[[]],[],[],[[[]]]] => 2 [[],[[]],[],[[]],[],[]] => 2 [[],[[]],[],[[]],[[]]] => 2 [[],[[]],[],[[],[]],[]] => 2 [[],[[]],[],[[[]]],[]] => 2 [[],[[]],[],[[],[],[]]] => 2 [[],[[]],[],[[],[[]]]] => 2 [[],[[]],[],[[[]],[]]] => 2 [[],[[]],[],[[[],[]]]] => 2 [[],[[]],[],[[[[]]]]] => 2 [[],[[]],[[]],[],[],[]] => 2 [[],[[]],[[]],[],[[]]] => 2 [[],[[]],[[]],[[]],[]] => 2 [[],[[]],[[]],[[],[]]] => 2 [[],[[]],[[]],[[[]]]] => 2 [[],[[]],[[],[]],[],[]] => 2 [[],[[]],[[[]]],[],[]] => 2 [[],[[]],[[],[]],[[]]] => 2 [[],[[]],[[[]]],[[]]] => 2 [[],[[]],[[],[],[]],[]] => 2 [[],[[]],[[],[[]]],[]] => 2 [[],[[]],[[[]],[]],[]] => 2 [[],[[]],[[[],[]]],[]] => 2 [[],[[]],[[[[]]]],[]] => 2 [[],[[]],[[],[],[],[]]] => 2 [[],[[]],[[],[],[[]]]] => 2 [[],[[]],[[],[[]],[]]] => 2 [[],[[]],[[],[[],[]]]] => 2 [[],[[]],[[],[[[]]]]] => 2 [[],[[]],[[[]],[],[]]] => 2 [[],[[]],[[[]],[[]]]] => 2 [[],[[]],[[[],[]],[]]] => 2 [[],[[]],[[[[]]],[]]] => 2 [[],[[]],[[[],[],[]]]] => 2 [[],[[]],[[[],[[]]]]] => 2 [[],[[]],[[[[]],[]]]] => 2 [[],[[]],[[[[],[]]]]] => 2 [[],[[]],[[[[[]]]]]] => 2 [[],[[],[]],[],[],[],[]] => 2 [[],[[[]]],[],[],[],[]] => 2 [[],[[],[]],[],[],[[]]] => 2 [[],[[[]]],[],[],[[]]] => 2 [[],[[],[]],[],[[]],[]] => 2 [[],[[[]]],[],[[]],[]] => 2 [[],[[],[]],[],[[],[]]] => 3 [[],[[],[]],[],[[[]]]] => 2 [[],[[[]]],[],[[],[]]] => 2 [[],[[[]]],[],[[[]]]] => 2 [[],[[],[]],[[]],[],[]] => 2 [[],[[[]]],[[]],[],[]] => 2 [[],[[],[]],[[]],[[]]] => 2 [[],[[[]]],[[]],[[]]] => 2 [[],[[],[]],[[],[]],[]] => 3 [[],[[],[]],[[[]]],[]] => 2 [[],[[[]]],[[],[]],[]] => 2 [[],[[[]]],[[[]]],[]] => 2 [[],[[],[]],[[],[],[]]] => 3 [[],[[],[]],[[],[[]]]] => 3 [[],[[],[]],[[[]],[]]] => 3 [[],[[],[]],[[[],[]]]] => 3 [[],[[],[]],[[[[]]]]] => 2 [[],[[[]]],[[],[],[]]] => 2 [[],[[[]]],[[],[[]]]] => 2 [[],[[[]]],[[[]],[]]] => 2 [[],[[[]]],[[[],[]]]] => 2 [[],[[[]]],[[[[]]]]] => 2 [[],[[],[],[]],[],[],[]] => 2 [[],[[],[[]]],[],[],[]] => 2 [[],[[[]],[]],[],[],[]] => 2 [[],[[[],[]]],[],[],[]] => 2 [[],[[[[]]]],[],[],[]] => 2 [[],[[],[],[]],[],[[]]] => 2 [[],[[],[[]]],[],[[]]] => 2 [[],[[[]],[]],[],[[]]] => 2 [[],[[[],[]]],[],[[]]] => 2 [[],[[[[]]]],[],[[]]] => 2 [[],[[],[],[]],[[]],[]] => 2 [[],[[],[[]]],[[]],[]] => 2 [[],[[[]],[]],[[]],[]] => 2 [[],[[[],[]]],[[]],[]] => 2 [[],[[[[]]]],[[]],[]] => 2 [[],[[],[],[]],[[],[]]] => 3 [[],[[],[],[]],[[[]]]] => 2 [[],[[],[[]]],[[],[]]] => 3 [[],[[],[[]]],[[[]]]] => 2 [[],[[[]],[]],[[],[]]] => 3 [[],[[[]],[]],[[[]]]] => 2 [[],[[[],[]]],[[],[]]] => 3 [[],[[[],[]]],[[[]]]] => 2 [[],[[[[]]]],[[],[]]] => 2 [[],[[[[]]]],[[[]]]] => 2 [[],[[],[],[],[]],[],[]] => 2 [[],[[],[],[[]]],[],[]] => 2 [[],[[],[[]],[]],[],[]] => 2 [[],[[],[[],[]]],[],[]] => 2 [[],[[],[[[]]]],[],[]] => 2 [[],[[[]],[],[]],[],[]] => 2 [[],[[[]],[[]]],[],[]] => 2 [[],[[[],[]],[]],[],[]] => 2 [[],[[[[]]],[]],[],[]] => 2 [[],[[[],[],[]]],[],[]] => 2 [[],[[[],[[]]]],[],[]] => 2 [[],[[[[]],[]]],[],[]] => 2 [[],[[[[],[]]]],[],[]] => 2 [[],[[[[[]]]]],[],[]] => 2 [[],[[],[],[],[]],[[]]] => 2 [[],[[],[],[[]]],[[]]] => 2 [[],[[],[[]],[]],[[]]] => 2 [[],[[],[[],[]]],[[]]] => 2 [[],[[],[[[]]]],[[]]] => 2 [[],[[[]],[],[]],[[]]] => 2 [[],[[[]],[[]]],[[]]] => 2 [[],[[[],[]],[]],[[]]] => 2 [[],[[[[]]],[]],[[]]] => 2 [[],[[[],[],[]]],[[]]] => 2 [[],[[[],[[]]]],[[]]] => 2 [[],[[[[]],[]]],[[]]] => 2 [[],[[[[],[]]]],[[]]] => 2 [[],[[[[[]]]]],[[]]] => 2 [[],[[],[],[],[],[]],[]] => 2 [[],[[],[],[],[[]]],[]] => 2 [[],[[],[],[[]],[]],[]] => 2 [[],[[],[],[[],[]]],[]] => 2 [[],[[],[],[[[]]]],[]] => 2 [[],[[],[[]],[],[]],[]] => 2 [[],[[],[[]],[[]]],[]] => 2 [[],[[],[[],[]],[]],[]] => 2 [[],[[],[[[]]],[]],[]] => 2 [[],[[],[[],[],[]]],[]] => 2 [[],[[],[[],[[]]]],[]] => 2 [[],[[],[[[]],[]]],[]] => 2 [[],[[],[[[],[]]]],[]] => 2 [[],[[],[[[[]]]]],[]] => 2 [[],[[[]],[],[],[]],[]] => 2 [[],[[[]],[],[[]]],[]] => 2 [[],[[[]],[[]],[]],[]] => 2 [[],[[[]],[[],[]]],[]] => 2 [[],[[[]],[[[]]]],[]] => 2 [[],[[[],[]],[],[]],[]] => 2 [[],[[[[]]],[],[]],[]] => 2 [[],[[[],[]],[[]]],[]] => 2 [[],[[[[]]],[[]]],[]] => 2 [[],[[[],[],[]],[]],[]] => 2 [[],[[[],[[]]],[]],[]] => 2 [[],[[[[]],[]],[]],[]] => 2 [[],[[[[],[]]],[]],[]] => 2 [[],[[[[[]]]],[]],[]] => 2 [[],[[[],[],[],[]]],[]] => 2 [[],[[[],[],[[]]]],[]] => 2 [[],[[[],[[]],[]]],[]] => 2 [[],[[[],[[],[]]]],[]] => 2 [[],[[[],[[[]]]]],[]] => 2 [[],[[[[]],[],[]]],[]] => 2 [[],[[[[]],[[]]]],[]] => 2 [[],[[[[],[]],[]]],[]] => 2 [[],[[[[[]]],[]]],[]] => 2 [[],[[[[],[],[]]]],[]] => 2 [[],[[[[],[[]]]]],[]] => 2 [[],[[[[[]],[]]]],[]] => 2 [[],[[[[[],[]]]]],[]] => 2 [[],[[[[[[]]]]]],[]] => 2 [[],[[],[],[],[],[],[]]] => 2 [[],[[],[],[],[],[[]]]] => 2 [[],[[],[],[],[[]],[]]] => 2 [[],[[],[],[],[[],[]]]] => 2 [[],[[],[],[],[[[]]]]] => 2 [[],[[],[],[[]],[],[]]] => 2 [[],[[],[],[[]],[[]]]] => 2 [[],[[],[],[[],[]],[]]] => 2 [[],[[],[],[[[]]],[]]] => 2 [[],[[],[],[[],[],[]]]] => 2 [[],[[],[],[[],[[]]]]] => 2 [[],[[],[],[[[]],[]]]] => 2 [[],[[],[],[[[],[]]]]] => 2 [[],[[],[],[[[[]]]]]] => 2 [[],[[],[[]],[],[],[]]] => 2 [[],[[],[[]],[],[[]]]] => 2 [[],[[],[[]],[[]],[]]] => 2 [[],[[],[[]],[[],[]]]] => 2 [[],[[],[[]],[[[]]]]] => 2 [[],[[],[[],[]],[],[]]] => 2 [[],[[],[[[]]],[],[]]] => 2 [[],[[],[[],[]],[[]]]] => 2 [[],[[],[[[]]],[[]]]] => 2 [[],[[],[[],[],[]],[]]] => 2 [[],[[],[[],[[]]],[]]] => 2 [[],[[],[[[]],[]],[]]] => 2 [[],[[],[[[],[]]],[]]] => 2 [[],[[],[[[[]]]],[]]] => 2 [[],[[],[[],[],[],[]]]] => 2 [[],[[],[[],[],[[]]]]] => 2 [[],[[],[[],[[]],[]]]] => 2 [[],[[],[[],[[],[]]]]] => 2 [[],[[],[[],[[[]]]]]] => 2 [[],[[],[[[]],[],[]]]] => 2 [[],[[],[[[]],[[]]]]] => 2 [[],[[],[[[],[]],[]]]] => 2 [[],[[],[[[[]]],[]]]] => 2 [[],[[],[[[],[],[]]]]] => 2 [[],[[],[[[],[[]]]]]] => 2 [[],[[],[[[[]],[]]]]] => 2 [[],[[],[[[[],[]]]]]] => 2 [[],[[],[[[[[]]]]]]] => 2 [[],[[[]],[],[],[],[]]] => 2 [[],[[[]],[],[],[[]]]] => 2 [[],[[[]],[],[[]],[]]] => 2 [[],[[[]],[],[[],[]]]] => 2 [[],[[[]],[],[[[]]]]] => 2 [[],[[[]],[[]],[],[]]] => 2 [[],[[[]],[[]],[[]]]] => 2 [[],[[[]],[[],[]],[]]] => 2 [[],[[[]],[[[]]],[]]] => 2 [[],[[[]],[[],[],[]]]] => 2 [[],[[[]],[[],[[]]]]] => 2 [[],[[[]],[[[]],[]]]] => 2 [[],[[[]],[[[],[]]]]] => 2 [[],[[[]],[[[[]]]]]] => 2 [[],[[[],[]],[],[],[]]] => 2 [[],[[[[]]],[],[],[]]] => 2 [[],[[[],[]],[],[[]]]] => 2 [[],[[[[]]],[],[[]]]] => 2 [[],[[[],[]],[[]],[]]] => 2 [[],[[[[]]],[[]],[]]] => 2 [[],[[[],[]],[[],[]]]] => 3 [[],[[[],[]],[[[]]]]] => 2 [[],[[[[]]],[[],[]]]] => 2 [[],[[[[]]],[[[]]]]] => 2 [[],[[[],[],[]],[],[]]] => 2 [[],[[[],[[]]],[],[]]] => 2 [[],[[[[]],[]],[],[]]] => 2 [[],[[[[],[]]],[],[]]] => 2 [[],[[[[[]]]],[],[]]] => 2 [[],[[[],[],[]],[[]]]] => 2 [[],[[[],[[]]],[[]]]] => 2 [[],[[[[]],[]],[[]]]] => 2 [[],[[[[],[]]],[[]]]] => 2 [[],[[[[[]]]],[[]]]] => 2 [[],[[[],[],[],[]],[]]] => 2 [[],[[[],[],[[]]],[]]] => 2 [[],[[[],[[]],[]],[]]] => 2 [[],[[[],[[],[]]],[]]] => 2 [[],[[[],[[[]]]],[]]] => 2 [[],[[[[]],[],[]],[]]] => 2 [[],[[[[]],[[]]],[]]] => 2 [[],[[[[],[]],[]],[]]] => 2 [[],[[[[[]]],[]],[]]] => 2 [[],[[[[],[],[]]],[]]] => 2 [[],[[[[],[[]]]],[]]] => 2 [[],[[[[[]],[]]],[]]] => 2 [[],[[[[[],[]]]],[]]] => 2 [[],[[[[[[]]]]],[]]] => 2 [[],[[[],[],[],[],[]]]] => 2 [[],[[[],[],[],[[]]]]] => 2 [[],[[[],[],[[]],[]]]] => 2 [[],[[[],[],[[],[]]]]] => 2 [[],[[[],[],[[[]]]]]] => 2 [[],[[[],[[]],[],[]]]] => 2 [[],[[[],[[]],[[]]]]] => 2 [[],[[[],[[],[]],[]]]] => 2 [[],[[[],[[[]]],[]]]] => 2 [[],[[[],[[],[],[]]]]] => 2 [[],[[[],[[],[[]]]]]] => 2 [[],[[[],[[[]],[]]]]] => 2 [[],[[[],[[[],[]]]]]] => 2 [[],[[[],[[[[]]]]]]] => 2 [[],[[[[]],[],[],[]]]] => 2 [[],[[[[]],[],[[]]]]] => 2 [[],[[[[]],[[]],[]]]] => 2 [[],[[[[]],[[],[]]]]] => 2 [[],[[[[]],[[[]]]]]] => 2 [[],[[[[],[]],[],[]]]] => 2 [[],[[[[[]]],[],[]]]] => 2 [[],[[[[],[]],[[]]]]] => 2 [[],[[[[[]]],[[]]]]] => 2 [[],[[[[],[],[]],[]]]] => 2 [[],[[[[],[[]]],[]]]] => 2 [[],[[[[[]],[]],[]]]] => 2 [[],[[[[[],[]]],[]]]] => 2 [[],[[[[[[]]]],[]]]] => 2 [[],[[[[],[],[],[]]]]] => 2 [[],[[[[],[],[[]]]]]] => 2 [[],[[[[],[[]],[]]]]] => 2 [[],[[[[],[[],[]]]]]] => 2 [[],[[[[],[[[]]]]]]] => 2 [[],[[[[[]],[],[]]]]] => 2 [[],[[[[[]],[[]]]]]] => 2 [[],[[[[[],[]],[]]]]] => 2 [[],[[[[[[]]],[]]]]] => 2 [[],[[[[[],[],[]]]]]] => 2 [[],[[[[[],[[]]]]]]] => 2 [[],[[[[[[]],[]]]]]] => 2 [[],[[[[[[],[]]]]]]] => 2 [[],[[[[[[[]]]]]]]] => 2 [[[]],[],[],[],[],[],[]] => 2 [[[]],[],[],[],[],[[]]] => 2 [[[]],[],[],[],[[]],[]] => 2 [[[]],[],[],[],[[],[]]] => 2 [[[]],[],[],[],[[[]]]] => 2 [[[]],[],[],[[]],[],[]] => 2 [[[]],[],[],[[]],[[]]] => 2 [[[]],[],[],[[],[]],[]] => 2 [[[]],[],[],[[[]]],[]] => 2 [[[]],[],[],[[],[],[]]] => 2 [[[]],[],[],[[],[[]]]] => 2 [[[]],[],[],[[[]],[]]] => 2 [[[]],[],[],[[[],[]]]] => 2 [[[]],[],[],[[[[]]]]] => 2 [[[]],[],[[]],[],[],[]] => 2 [[[]],[],[[]],[],[[]]] => 2 [[[]],[],[[]],[[]],[]] => 2 [[[]],[],[[]],[[],[]]] => 2 [[[]],[],[[]],[[[]]]] => 2 [[[]],[],[[],[]],[],[]] => 2 [[[]],[],[[[]]],[],[]] => 2 [[[]],[],[[],[]],[[]]] => 2 [[[]],[],[[[]]],[[]]] => 2 [[[]],[],[[],[],[]],[]] => 2 [[[]],[],[[],[[]]],[]] => 2 [[[]],[],[[[]],[]],[]] => 2 [[[]],[],[[[],[]]],[]] => 2 [[[]],[],[[[[]]]],[]] => 2 [[[]],[],[[],[],[],[]]] => 2 [[[]],[],[[],[],[[]]]] => 2 [[[]],[],[[],[[]],[]]] => 2 [[[]],[],[[],[[],[]]]] => 2 [[[]],[],[[],[[[]]]]] => 2 [[[]],[],[[[]],[],[]]] => 2 [[[]],[],[[[]],[[]]]] => 2 [[[]],[],[[[],[]],[]]] => 2 [[[]],[],[[[[]]],[]]] => 2 [[[]],[],[[[],[],[]]]] => 2 [[[]],[],[[[],[[]]]]] => 2 [[[]],[],[[[[]],[]]]] => 2 [[[]],[],[[[[],[]]]]] => 2 [[[]],[],[[[[[]]]]]] => 2 [[[]],[[]],[],[],[],[]] => 2 [[[]],[[]],[],[],[[]]] => 2 [[[]],[[]],[],[[]],[]] => 2 [[[]],[[]],[],[[],[]]] => 2 [[[]],[[]],[],[[[]]]] => 2 [[[]],[[]],[[]],[],[]] => 2 [[[]],[[]],[[]],[[]]] => 2 [[[]],[[]],[[],[]],[]] => 2 [[[]],[[]],[[[]]],[]] => 2 [[[]],[[]],[[],[],[]]] => 2 [[[]],[[]],[[],[[]]]] => 2 [[[]],[[]],[[[]],[]]] => 2 [[[]],[[]],[[[],[]]]] => 2 [[[]],[[]],[[[[]]]]] => 2 [[[]],[[],[]],[],[],[]] => 2 [[[]],[[[]]],[],[],[]] => 2 [[[]],[[],[]],[],[[]]] => 2 [[[]],[[[]]],[],[[]]] => 2 [[[]],[[],[]],[[]],[]] => 2 [[[]],[[[]]],[[]],[]] => 2 [[[]],[[],[]],[[],[]]] => 3 [[[]],[[],[]],[[[]]]] => 2 [[[]],[[[]]],[[],[]]] => 2 [[[]],[[[]]],[[[]]]] => 2 [[[]],[[],[],[]],[],[]] => 2 [[[]],[[],[[]]],[],[]] => 2 [[[]],[[[]],[]],[],[]] => 2 [[[]],[[[],[]]],[],[]] => 2 [[[]],[[[[]]]],[],[]] => 2 [[[]],[[],[],[]],[[]]] => 2 [[[]],[[],[[]]],[[]]] => 2 [[[]],[[[]],[]],[[]]] => 2 [[[]],[[[],[]]],[[]]] => 2 [[[]],[[[[]]]],[[]]] => 2 [[[]],[[],[],[],[]],[]] => 2 [[[]],[[],[],[[]]],[]] => 2 [[[]],[[],[[]],[]],[]] => 2 [[[]],[[],[[],[]]],[]] => 2 [[[]],[[],[[[]]]],[]] => 2 [[[]],[[[]],[],[]],[]] => 2 [[[]],[[[]],[[]]],[]] => 2 [[[]],[[[],[]],[]],[]] => 2 [[[]],[[[[]]],[]],[]] => 2 [[[]],[[[],[],[]]],[]] => 2 [[[]],[[[],[[]]]],[]] => 2 [[[]],[[[[]],[]]],[]] => 2 [[[]],[[[[],[]]]],[]] => 2 [[[]],[[[[[]]]]],[]] => 2 [[[]],[[],[],[],[],[]]] => 2 [[[]],[[],[],[],[[]]]] => 2 [[[]],[[],[],[[]],[]]] => 2 [[[]],[[],[],[[],[]]]] => 2 [[[]],[[],[],[[[]]]]] => 2 [[[]],[[],[[]],[],[]]] => 2 [[[]],[[],[[]],[[]]]] => 2 [[[]],[[],[[],[]],[]]] => 2 [[[]],[[],[[[]]],[]]] => 2 [[[]],[[],[[],[],[]]]] => 2 [[[]],[[],[[],[[]]]]] => 2 [[[]],[[],[[[]],[]]]] => 2 [[[]],[[],[[[],[]]]]] => 2 [[[]],[[],[[[[]]]]]] => 2 [[[]],[[[]],[],[],[]]] => 2 [[[]],[[[]],[],[[]]]] => 2 [[[]],[[[]],[[]],[]]] => 2 [[[]],[[[]],[[],[]]]] => 2 [[[]],[[[]],[[[]]]]] => 2 [[[]],[[[],[]],[],[]]] => 2 [[[]],[[[[]]],[],[]]] => 2 [[[]],[[[],[]],[[]]]] => 2 [[[]],[[[[]]],[[]]]] => 2 [[[]],[[[],[],[]],[]]] => 2 [[[]],[[[],[[]]],[]]] => 2 [[[]],[[[[]],[]],[]]] => 2 [[[]],[[[[],[]]],[]]] => 2 [[[]],[[[[[]]]],[]]] => 2 [[[]],[[[],[],[],[]]]] => 2 [[[]],[[[],[],[[]]]]] => 2 [[[]],[[[],[[]],[]]]] => 2 [[[]],[[[],[[],[]]]]] => 2 [[[]],[[[],[[[]]]]]] => 2 [[[]],[[[[]],[],[]]]] => 2 [[[]],[[[[]],[[]]]]] => 2 [[[]],[[[[],[]],[]]]] => 2 [[[]],[[[[[]]],[]]]] => 2 [[[]],[[[[],[],[]]]]] => 2 [[[]],[[[[],[[]]]]]] => 2 [[[]],[[[[[]],[]]]]] => 2 [[[]],[[[[[],[]]]]]] => 2 [[[]],[[[[[[]]]]]]] => 2 [[[],[]],[],[],[],[],[]] => 2 [[[[]]],[],[],[],[],[]] => 2 [[[],[]],[],[],[],[[]]] => 2 [[[[]]],[],[],[],[[]]] => 2 [[[],[]],[],[],[[]],[]] => 2 [[[[]]],[],[],[[]],[]] => 2 [[[],[]],[],[],[[],[]]] => 3 [[[],[]],[],[],[[[]]]] => 2 [[[[]]],[],[],[[],[]]] => 2 [[[[]]],[],[],[[[]]]] => 2 [[[],[]],[],[[]],[],[]] => 2 [[[[]]],[],[[]],[],[]] => 2 [[[],[]],[],[[]],[[]]] => 2 [[[[]]],[],[[]],[[]]] => 2 [[[],[]],[[],[[],[]]]] => 3 [[[],[]],[[[],[]],[]]] => 3 [[[],[[],[]]],[[],[]]] => 3 [[[[],[]],[]],[[],[]]] => 3 [[[],[[],[[],[]]]],[]] => 2 [[[],[[[],[]],[]]],[]] => 2 [[[[],[]],[[],[]]],[]] => 3 [[[[],[[],[]]],[]],[]] => 2 [[[[[],[]],[]],[]],[]] => 2 [[[[[],[[[]]]]]],[]] => 2 [[[[[[[]]],[]]]],[]] => 2 [[[[[[],[],[]]]]],[]] => 2 [[[[[[],[[]]]]]],[]] => 2 [[[[[[[]],[]]]]],[]] => 2 [[[[[[[],[]]]]]],[]] => 2 [[[[[[[[]]]]]]],[]] => 2 [[[[[[[[[]]]]]]]],[]] => 2 [[],[[[[[[[[]]]]]]]]] => 2 [[[[[[[[],[]]]]]]],[]] => 2 [[],[[[[[[[],[]]]]]]]] => 2 [[[[[[[[]],[]]]]]],[]] => 2 [[[[[[[],[[]]]]]]],[]] => 2 [[],[[[[[[[]],[]]]]]]] => 2 [[],[[[[[[],[[]]]]]]]] => 2 [[],[[],[[],[[],[[],[]]]]]] => 2 [[],[[],[[],[[[],[]],[]]]]] => 2 [[],[[],[[[],[]],[[],[]]]]] => 3 [[],[[],[[[],[[],[]]],[]]]] => 2 [[],[[],[[[[],[]],[]],[]]]] => 2 [[],[[[],[]],[[],[[],[]]]]] => 3 [[],[[[],[]],[[[],[]],[]]]] => 3 [[],[[[],[[],[]]],[[],[]]]] => 3 [[],[[[[],[]],[]],[[],[]]]] => 3 [[],[[[],[[],[[],[]]]],[]]] => 2 [[],[[[],[[[],[]],[]]],[]]] => 2 [[],[[[[],[]],[[],[]]],[]]] => 3 [[],[[[[],[[],[]]],[]],[]]] => 2 [[],[[[[[],[]],[]],[]],[]]] => 2 [[[],[]],[[],[[],[[],[]]]]] => 3 [[[],[]],[[],[[[],[]],[]]]] => 3 [[[],[]],[[[],[]],[[],[]]]] => 3 [[[],[]],[[[],[[],[]]],[]]] => 3 [[[],[]],[[[[],[]],[]],[]]] => 3 [[[],[[],[]]],[[],[[],[]]]] => 3 [[[],[[],[]]],[[[],[]],[]]] => 3 [[[[],[]],[]],[[],[[],[]]]] => 3 [[[[],[]],[]],[[[],[]],[]]] => 3 [[[],[[],[[],[]]]],[[],[]]] => 3 [[[],[[[],[]],[]]],[[],[]]] => 3 [[[[],[]],[[],[]]],[[],[]]] => 3 [[[[],[[],[]]],[]],[[],[]]] => 3 [[[[[],[]],[]],[]],[[],[]]] => 3 [[[],[[],[[],[[],[]]]]],[]] => 2 [[[],[[],[[[],[]],[]]]],[]] => 2 [[[],[[[],[]],[[],[]]]],[]] => 3 [[[],[[[],[[],[]]],[]]],[]] => 2 [[[],[[[[],[]],[]],[]]],[]] => 2 [[[[],[]],[[],[[],[]]]],[]] => 3 [[[[],[]],[[[],[]],[]]],[]] => 3 [[[[],[[],[]]],[[],[]]],[]] => 3 [[[[[],[]],[]],[[],[]]],[]] => 3 [[[[],[[],[[],[]]]],[]],[]] => 2 [[[[],[[[],[]],[]]],[]],[]] => 2 [[[[[],[]],[[],[]]],[]],[]] => 3 [[[[[],[[],[]]],[]],[]],[]] => 2 [[[[[[],[]],[]],[]],[]],[]] => 2 [[[[[[[[[[]]]]]]]]],[]] => 2 [[],[[[[[[[[[]]]]]]]]]] => 2 [[[[[[[[[],[]]]]]]]],[]] => 2 [[],[[[[[[[[],[]]]]]]]]] => 2 [[[[[[[[[[[]]]]]]]]]],[]] => 2 [[],[[[[[[[[[[]]]]]]]]]]] => 2 [[],[[],[[],[[],[[],[[],[]]]]]]] => 2 [[],[[],[[],[[],[[[],[]],[]]]]]] => 2 [[],[[],[[],[[[],[]],[[],[]]]]]] => 3 [[],[[],[[],[[[],[[],[]]],[]]]]] => 2 [[],[[],[[],[[[[],[]],[]],[]]]]] => 2 [[],[[],[[[],[]],[[],[[],[]]]]]] => 3 [[],[[],[[[],[]],[[[],[]],[]]]]] => 3 [[],[[],[[[],[[],[]]],[[],[]]]]] => 3 [[],[[],[[[[],[]],[]],[[],[]]]]] => 3 [[],[[],[[[],[[],[[],[]]]],[]]]] => 2 [[],[[],[[[],[[[],[]],[]]],[]]]] => 2 [[],[[],[[[[],[]],[[],[]]],[]]]] => 3 [[],[[],[[[[],[[],[]]],[]],[]]]] => 2 [[],[[],[[[[[],[]],[]],[]],[]]]] => 2 [[],[[[],[]],[[],[[],[[],[]]]]]] => 3 [[],[[[],[]],[[],[[[],[]],[]]]]] => 3 [[],[[[],[]],[[[],[]],[[],[]]]]] => 3 [[],[[[],[]],[[[],[[],[]]],[]]]] => 3 [[],[[[],[]],[[[[],[]],[]],[]]]] => 3 [[],[[[],[[],[]]],[[],[[],[]]]]] => 3 [[],[[[],[[],[]]],[[[],[]],[]]]] => 3 [[],[[[[],[]],[]],[[],[[],[]]]]] => 3 [[],[[[[],[]],[]],[[[],[]],[]]]] => 3 [[],[[[],[[],[[],[]]]],[[],[]]]] => 3 [[],[[[],[[[],[]],[]]],[[],[]]]] => 3 [[],[[[[],[]],[[],[]]],[[],[]]]] => 3 [[],[[[[],[[],[]]],[]],[[],[]]]] => 3 [[],[[[[[],[]],[]],[]],[[],[]]]] => 3 [[],[[[],[[],[[],[[],[]]]]],[]]] => 2 [[],[[[],[[],[[[],[]],[]]]],[]]] => 2 [[],[[[],[[[],[]],[[],[]]]],[]]] => 3 [[],[[[],[[[],[[],[]]],[]]],[]]] => 2 [[],[[[],[[[[],[]],[]],[]]],[]]] => 2 [[],[[[[],[]],[[],[[],[]]]],[]]] => 3 [[],[[[[],[]],[[[],[]],[]]],[]]] => 3 [[],[[[[],[[],[]]],[[],[]]],[]]] => 3 [[],[[[[[],[]],[]],[[],[]]],[]]] => 3 [[],[[[[],[[],[[],[]]]],[]],[]]] => 2 [[],[[[[],[[[],[]],[]]],[]],[]]] => 2 [[],[[[[[],[]],[[],[]]],[]],[]]] => 3 [[],[[[[[],[[],[]]],[]],[]],[]]] => 2 [[],[[[[[[],[]],[]],[]],[]],[]]] => 2 [[[],[]],[[],[[],[[],[[],[]]]]]] => 3 [[[],[]],[[],[[],[[[],[]],[]]]]] => 3 [[[],[]],[[],[[[],[]],[[],[]]]]] => 3 [[[],[]],[[],[[[],[[],[]]],[]]]] => 3 [[[],[]],[[],[[[[],[]],[]],[]]]] => 3 [[[],[]],[[[],[]],[[],[[],[]]]]] => 3 [[[],[]],[[[],[]],[[[],[]],[]]]] => 3 [[[],[]],[[[],[[],[]]],[[],[]]]] => 3 [[[],[]],[[[[],[]],[]],[[],[]]]] => 3 [[[],[]],[[[],[[],[[],[]]]],[]]] => 3 [[[],[]],[[[],[[[],[]],[]]],[]]] => 3 [[[],[]],[[[[],[]],[[],[]]],[]]] => 3 [[[],[]],[[[[],[[],[]]],[]],[]]] => 3 [[[],[]],[[[[[],[]],[]],[]],[]]] => 3 [[[],[[],[]]],[[],[[],[[],[]]]]] => 3 [[[],[[],[]]],[[],[[[],[]],[]]]] => 3 [[[],[[],[]]],[[[],[]],[[],[]]]] => 3 [[[],[[],[]]],[[[],[[],[]]],[]]] => 3 [[[],[[],[]]],[[[[],[]],[]],[]]] => 3 [[[[],[]],[]],[[],[[],[[],[]]]]] => 3 [[[[],[]],[]],[[],[[[],[]],[]]]] => 3 [[[[],[]],[]],[[[],[]],[[],[]]]] => 3 [[[[],[]],[]],[[[],[[],[]]],[]]] => 3 [[[[],[]],[]],[[[[],[]],[]],[]]] => 3 [[[],[[],[[],[]]]],[[],[[],[]]]] => 3 [[[],[[],[[],[]]]],[[[],[]],[]]] => 3 [[[],[[[],[]],[]]],[[],[[],[]]]] => 3 [[[],[[[],[]],[]]],[[[],[]],[]]] => 3 [[[[],[]],[[],[]]],[[],[[],[]]]] => 3 [[[[],[]],[[],[]]],[[[],[]],[]]] => 3 [[[[],[[],[]]],[]],[[],[[],[]]]] => 3 [[[[],[[],[]]],[]],[[[],[]],[]]] => 3 [[[[[],[]],[]],[]],[[],[[],[]]]] => 3 [[[[[],[]],[]],[]],[[[],[]],[]]] => 3 [[[],[[],[[],[[],[]]]]],[[],[]]] => 3 [[[],[[],[[[],[]],[]]]],[[],[]]] => 3 [[[],[[[],[]],[[],[]]]],[[],[]]] => 3 [[[],[[[],[[],[]]],[]]],[[],[]]] => 3 [[[],[[[[],[]],[]],[]]],[[],[]]] => 3 [[[[],[]],[[],[[],[]]]],[[],[]]] => 3 [[[[],[]],[[[],[]],[]]],[[],[]]] => 3 [[[[],[[],[]]],[[],[]]],[[],[]]] => 3 [[[[[],[]],[]],[[],[]]],[[],[]]] => 3 [[[[],[[],[[],[]]]],[]],[[],[]]] => 3 [[[[],[[[],[]],[]]],[]],[[],[]]] => 3 [[[[[],[]],[[],[]]],[]],[[],[]]] => 3 [[[[[],[[],[]]],[]],[]],[[],[]]] => 3 [[[[[[],[]],[]],[]],[]],[[],[]]] => 3 [[[],[[],[[],[[],[[],[]]]]]],[]] => 2 [[[],[[],[[],[[[],[]],[]]]]],[]] => 2 [[[],[[],[[[],[]],[[],[]]]]],[]] => 3 [[[],[[],[[[],[[],[]]],[]]]],[]] => 2 [[[],[[],[[[[],[]],[]],[]]]],[]] => 2 [[[],[[[],[]],[[],[[],[]]]]],[]] => 3 [[[],[[[],[]],[[[],[]],[]]]],[]] => 3 [[[],[[[],[[],[]]],[[],[]]]],[]] => 3 [[[],[[[[],[]],[]],[[],[]]]],[]] => 3 [[[],[[[],[[],[[],[]]]],[]]],[]] => 2 [[[],[[[],[[[],[]],[]]],[]]],[]] => 2 [[[],[[[[],[]],[[],[]]],[]]],[]] => 3 [[[],[[[[],[[],[]]],[]],[]]],[]] => 2 [[[],[[[[[],[]],[]],[]],[]]],[]] => 2 [[[[],[]],[[],[[],[[],[]]]]],[]] => 3 [[[[],[]],[[],[[[],[]],[]]]],[]] => 3 [[[[],[]],[[[],[]],[[],[]]]],[]] => 3 [[[[],[]],[[[],[[],[]]],[]]],[]] => 3 [[[[],[]],[[[[],[]],[]],[]]],[]] => 3 [[[[],[[],[]]],[[],[[],[]]]],[]] => 3 [[[[],[[],[]]],[[[],[]],[]]],[]] => 3 [[[[[],[]],[]],[[],[[],[]]]],[]] => 3 [[[[[],[]],[]],[[[],[]],[]]],[]] => 3 [[[[],[[],[[],[]]]],[[],[]]],[]] => 3 [[[[],[[[],[]],[]]],[[],[]]],[]] => 3 [[[[[],[]],[[],[]]],[[],[]]],[]] => 3 [[[[[],[[],[]]],[]],[[],[]]],[]] => 3 [[[[[[],[]],[]],[]],[[],[]]],[]] => 3 [[[[],[[],[[],[[],[]]]]],[]],[]] => 2 [[[[],[[],[[[],[]],[]]]],[]],[]] => 2 [[[[],[[[],[]],[[],[]]]],[]],[]] => 3 [[[[],[[[],[[],[]]],[]]],[]],[]] => 2 [[[[],[[[[],[]],[]],[]]],[]],[]] => 2 [[[[[],[]],[[],[[],[]]]],[]],[]] => 3 [[[[[],[]],[[[],[]],[]]],[]],[]] => 3 [[[[[],[[],[]]],[[],[]]],[]],[]] => 3 [[[[[[],[]],[]],[[],[]]],[]],[]] => 3 [[[[[],[[],[[],[]]]],[]],[]],[]] => 2 [[[[[],[[[],[]],[]]],[]],[]],[]] => 2 [[[[[[],[]],[[],[]]],[]],[]],[]] => 3 [[[[[[],[[],[]]],[]],[]],[]],[]] => 2 [[[[[[[],[]],[]],[]],[]],[]],[]] => 2 ----------------------------------------------------------------------------- Created: Feb 22, 2016 at 08:40 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Dec 26, 2017 at 10:01 by Martin Rubey