***************************************************************************** * 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: St000523 ----------------------------------------------------------------------------- Collection: Ordered trees ----------------------------------------------------------------------------- Description: The number of 2-protected nodes of a rooted tree. This is the number of nodes with minimal distance two to a leaf. The number of trees with no 2-protected nodes is [[oeis:A143363]]. ----------------------------------------------------------------------------- References: [1] Copenhaver, K. \$k\$-protected vertices in unlabeled rooted plane trees [[arXiv:1606.00083]] ----------------------------------------------------------------------------- Code: def protection_aux(T, k): """Return the number of nodes whose minimal distance to a leaf is k and the minimal distance of the root to a leaf. """ children = [protection_aux(t, k) for t in T] if len(children) == 0: if k == 0: return (1, 0) else: return (0, 0) kids = sum(num for num, _ in children) root = 1 + min(p for _, p in children) if root == k: return (1 + kids, root) else: return (kids, root) def statistic(T): """Return the number of nodes whose minimal distance to a leaf is k""" return protection_aux(T, 2)[0] ----------------------------------------------------------------------------- Statistic values: [[]] => 0 [[],[]] => 0 [[[]]] => 1 [[],[],[]] => 0 [[],[[]]] => 0 [[[]],[]] => 0 [[[],[]]] => 1 [[[[]]]] => 1 [[],[],[],[]] => 0 [[],[],[[]]] => 0 [[],[[]],[]] => 0 [[],[[],[]]] => 0 [[],[[[]]]] => 1 [[[]],[],[]] => 0 [[[]],[[]]] => 1 [[[],[]],[]] => 0 [[[[]]],[]] => 1 [[[],[],[]]] => 1 [[[],[[]]]] => 1 [[[[]],[]]] => 1 [[[[],[]]]] => 1 [[[[[]]]]] => 1 [[],[],[],[],[]] => 0 [[],[],[],[[]]] => 0 [[],[],[[]],[]] => 0 [[],[],[[],[]]] => 0 [[],[],[[[]]]] => 1 [[],[[]],[],[]] => 0 [[],[[]],[[]]] => 0 [[],[[],[]],[]] => 0 [[],[[[]]],[]] => 1 [[],[[],[],[]]] => 0 [[],[[],[[]]]] => 0 [[],[[[]],[]]] => 0 [[],[[[],[]]]] => 1 [[],[[[[]]]]] => 1 [[[]],[],[],[]] => 0 [[[]],[],[[]]] => 0 [[[]],[[]],[]] => 0 [[[]],[[],[]]] => 1 [[[]],[[[]]]] => 2 [[[],[]],[],[]] => 0 [[[[]]],[],[]] => 1 [[[],[]],[[]]] => 1 [[[[]]],[[]]] => 2 [[[],[],[]],[]] => 0 [[[],[[]]],[]] => 0 [[[[]],[]],[]] => 0 [[[[],[]]],[]] => 1 [[[[[]]]],[]] => 1 [[[],[],[],[]]] => 1 [[[],[],[[]]]] => 1 [[[],[[]],[]]] => 1 [[[],[[],[]]]] => 1 [[[],[[[]]]]] => 2 [[[[]],[],[]]] => 1 [[[[]],[[]]]] => 1 [[[[],[]],[]]] => 1 [[[[[]]],[]]] => 2 [[[[],[],[]]]] => 1 [[[[],[[]]]]] => 1 [[[[[]],[]]]] => 1 [[[[[],[]]]]] => 1 [[[[[[]]]]]] => 1 [[],[],[],[],[],[]] => 0 [[],[],[],[],[[]]] => 0 [[],[],[],[[]],[]] => 0 [[],[],[],[[],[]]] => 0 [[],[],[],[[[]]]] => 1 [[],[],[[]],[],[]] => 0 [[],[],[[]],[[]]] => 0 [[],[],[[],[]],[]] => 0 [[],[],[[[]]],[]] => 1 [[],[],[[],[],[]]] => 0 [[],[],[[],[[]]]] => 0 [[],[],[[[]],[]]] => 0 [[],[],[[[],[]]]] => 1 [[],[],[[[[]]]]] => 1 [[],[[]],[],[],[]] => 0 [[],[[]],[],[[]]] => 0 [[],[[]],[[]],[]] => 0 [[],[[]],[[],[]]] => 0 [[],[[]],[[[]]]] => 1 [[],[[],[]],[],[]] => 0 [[],[[[]]],[],[]] => 1 [[],[[],[]],[[]]] => 0 [[],[[[]]],[[]]] => 1 [[],[[],[],[]],[]] => 0 [[],[[],[[]]],[]] => 0 [[],[[[]],[]],[]] => 0 [[],[[[],[]]],[]] => 1 [[],[[[[]]]],[]] => 1 [[],[[],[],[],[]]] => 0 [[],[[],[],[[]]]] => 0 [[],[[],[[]],[]]] => 0 [[],[[],[[],[]]]] => 0 [[],[[],[[[]]]]] => 1 [[],[[[]],[],[]]] => 0 [[],[[[]],[[]]]] => 1 [[],[[[],[]],[]]] => 0 [[],[[[[]]],[]]] => 1 [[],[[[],[],[]]]] => 1 [[],[[[],[[]]]]] => 1 [[],[[[[]],[]]]] => 1 [[],[[[[],[]]]]] => 1 [[],[[[[[]]]]]] => 1 [[[]],[],[],[],[]] => 0 [[[]],[],[],[[]]] => 0 [[[]],[],[[]],[]] => 0 [[[]],[],[[],[]]] => 0 [[[]],[],[[[]]]] => 1 [[[]],[[]],[],[]] => 0 [[[]],[[]],[[]]] => 1 [[[]],[[],[]],[]] => 0 [[[]],[[[]]],[]] => 1 [[[]],[[],[],[]]] => 1 [[[]],[[],[[]]]] => 1 [[[]],[[[]],[]]] => 1 [[[]],[[[],[]]]] => 2 [[[]],[[[[]]]]] => 2 [[[],[]],[],[],[]] => 0 [[[[]]],[],[],[]] => 1 [[[],[]],[],[[]]] => 0 [[[[]]],[],[[]]] => 1 [[[],[]],[[]],[]] => 0 [[[[]]],[[]],[]] => 1 [[[],[]],[[],[]]] => 1 [[[],[]],[[[]]]] => 2 [[[[]]],[[],[]]] => 2 [[[[]]],[[[]]]] => 2 [[[],[],[]],[],[]] => 0 [[[],[[]]],[],[]] => 0 [[[[]],[]],[],[]] => 0 [[[[],[]]],[],[]] => 1 [[[[[]]]],[],[]] => 1 [[[],[],[]],[[]]] => 1 [[[],[[]]],[[]]] => 1 [[[[]],[]],[[]]] => 1 [[[[],[]]],[[]]] => 2 [[[[[]]]],[[]]] => 2 [[[],[],[],[]],[]] => 0 [[[],[],[[]]],[]] => 0 [[[],[[]],[]],[]] => 0 [[[],[[],[]]],[]] => 0 [[[],[[[]]]],[]] => 1 [[[[]],[],[]],[]] => 0 [[[[]],[[]]],[]] => 1 [[[[],[]],[]],[]] => 0 [[[[[]]],[]],[]] => 1 [[[[],[],[]]],[]] => 1 [[[[],[[]]]],[]] => 1 [[[[[]],[]]],[]] => 1 [[[[[],[]]]],[]] => 1 [[[[[[]]]]],[]] => 1 [[[],[],[],[],[]]] => 1 [[[],[],[],[[]]]] => 1 [[[],[],[[]],[]]] => 1 [[[],[],[[],[]]]] => 1 [[[],[],[[[]]]]] => 2 [[[],[[]],[],[]]] => 1 [[[],[[]],[[]]]] => 1 [[[],[[],[]],[]]] => 1 [[[],[[[]]],[]]] => 2 [[[],[[],[],[]]]] => 1 [[[],[[],[[]]]]] => 1 [[[],[[[]],[]]]] => 1 [[[],[[[],[]]]]] => 2 [[[],[[[[]]]]]] => 2 [[[[]],[],[],[]]] => 1 [[[[]],[],[[]]]] => 1 [[[[]],[[]],[]]] => 1 [[[[]],[[],[]]]] => 1 [[[[]],[[[]]]]] => 2 [[[[],[]],[],[]]] => 1 [[[[[]]],[],[]]] => 2 [[[[],[]],[[]]]] => 1 [[[[[]]],[[]]]] => 2 [[[[],[],[]],[]]] => 1 [[[[],[[]]],[]]] => 1 [[[[[]],[]],[]]] => 1 [[[[[],[]]],[]]] => 2 [[[[[[]]]],[]]] => 2 [[[[],[],[],[]]]] => 1 [[[[],[],[[]]]]] => 1 [[[[],[[]],[]]]] => 1 [[[[],[[],[]]]]] => 1 [[[[],[[[]]]]]] => 2 [[[[[]],[],[]]]] => 1 [[[[[]],[[]]]]] => 1 [[[[[],[]],[]]]] => 1 [[[[[[]]],[]]]] => 2 [[[[[],[],[]]]]] => 1 [[[[[],[[]]]]]] => 1 [[[[[[]],[]]]]] => 1 [[[[[[],[]]]]]] => 1 [[[[[[[]]]]]]] => 1 [[],[],[],[],[],[],[]] => 0 [[],[],[],[],[],[[]]] => 0 [[],[],[],[],[[]],[]] => 0 [[],[],[],[],[[],[]]] => 0 [[],[],[],[],[[[]]]] => 1 [[],[],[],[[]],[],[]] => 0 [[],[],[],[[]],[[]]] => 0 [[],[],[],[[],[]],[]] => 0 [[],[],[],[[[]]],[]] => 1 [[],[],[],[[],[],[]]] => 0 [[],[],[],[[],[[]]]] => 0 [[],[],[],[[[]],[]]] => 0 [[],[],[],[[[],[]]]] => 1 [[],[],[],[[[[]]]]] => 1 [[],[],[[]],[],[],[]] => 0 [[],[],[[]],[],[[]]] => 0 [[],[],[[]],[[]],[]] => 0 [[],[],[[]],[[],[]]] => 0 [[],[],[[]],[[[]]]] => 1 [[],[],[[],[]],[],[]] => 0 [[],[],[[[]]],[],[]] => 1 [[],[],[[],[]],[[]]] => 0 [[],[],[[[]]],[[]]] => 1 [[],[],[[],[],[]],[]] => 0 [[],[],[[],[[]]],[]] => 0 [[],[],[[[]],[]],[]] => 0 [[],[],[[[],[]]],[]] => 1 [[],[],[[[[]]]],[]] => 1 [[],[],[[],[],[],[]]] => 0 [[],[],[[],[],[[]]]] => 0 [[],[],[[],[[]],[]]] => 0 [[],[],[[],[[],[]]]] => 0 [[],[],[[],[[[]]]]] => 1 [[],[],[[[]],[],[]]] => 0 [[],[],[[[]],[[]]]] => 1 [[],[],[[[],[]],[]]] => 0 [[],[],[[[[]]],[]]] => 1 [[],[],[[[],[],[]]]] => 1 [[],[],[[[],[[]]]]] => 1 [[],[],[[[[]],[]]]] => 1 [[],[],[[[[],[]]]]] => 1 [[],[],[[[[[]]]]]] => 1 [[],[[]],[],[],[],[]] => 0 [[],[[]],[],[],[[]]] => 0 [[],[[]],[],[[]],[]] => 0 [[],[[]],[],[[],[]]] => 0 [[],[[]],[],[[[]]]] => 1 [[],[[]],[[]],[],[]] => 0 [[],[[]],[[]],[[]]] => 0 [[],[[]],[[],[]],[]] => 0 [[],[[]],[[[]]],[]] => 1 [[],[[]],[[],[],[]]] => 0 [[],[[]],[[],[[]]]] => 0 [[],[[]],[[[]],[]]] => 0 [[],[[]],[[[],[]]]] => 1 [[],[[]],[[[[]]]]] => 1 [[],[[],[]],[],[],[]] => 0 [[],[[[]]],[],[],[]] => 1 [[],[[],[]],[],[[]]] => 0 [[],[[[]]],[],[[]]] => 1 [[],[[],[]],[[]],[]] => 0 [[],[[[]]],[[]],[]] => 1 [[],[[],[]],[[],[]]] => 0 [[],[[],[]],[[[]]]] => 1 [[],[[[]]],[[],[]]] => 1 [[],[[[]]],[[[]]]] => 2 [[],[[],[],[]],[],[]] => 0 [[],[[],[[]]],[],[]] => 0 [[],[[[]],[]],[],[]] => 0 [[],[[[],[]]],[],[]] => 1 [[],[[[[]]]],[],[]] => 1 [[],[[],[],[]],[[]]] => 0 [[],[[],[[]]],[[]]] => 0 [[],[[[]],[]],[[]]] => 0 [[],[[[],[]]],[[]]] => 1 [[],[[[[]]]],[[]]] => 1 [[],[[],[],[],[]],[]] => 0 [[],[[],[],[[]]],[]] => 0 [[],[[],[[]],[]],[]] => 0 [[],[[],[[],[]]],[]] => 0 [[],[[],[[[]]]],[]] => 1 [[],[[[]],[],[]],[]] => 0 [[],[[[]],[[]]],[]] => 1 [[],[[[],[]],[]],[]] => 0 [[],[[[[]]],[]],[]] => 1 [[],[[[],[],[]]],[]] => 1 [[],[[[],[[]]]],[]] => 1 [[],[[[[]],[]]],[]] => 1 [[],[[[[],[]]]],[]] => 1 [[],[[[[[]]]]],[]] => 1 [[],[[],[],[],[],[]]] => 0 [[],[[],[],[],[[]]]] => 0 [[],[[],[],[[]],[]]] => 0 [[],[[],[],[[],[]]]] => 0 [[],[[],[],[[[]]]]] => 1 [[],[[],[[]],[],[]]] => 0 [[],[[],[[]],[[]]]] => 0 [[],[[],[[],[]],[]]] => 0 [[],[[],[[[]]],[]]] => 1 [[],[[],[[],[],[]]]] => 0 [[],[[],[[],[[]]]]] => 0 [[],[[],[[[]],[]]]] => 0 [[],[[],[[[],[]]]]] => 1 [[],[[],[[[[]]]]]] => 1 [[],[[[]],[],[],[]]] => 0 [[],[[[]],[],[[]]]] => 0 [[],[[[]],[[]],[]]] => 0 [[],[[[]],[[],[]]]] => 1 [[],[[[]],[[[]]]]] => 2 [[],[[[],[]],[],[]]] => 0 [[],[[[[]]],[],[]]] => 1 [[],[[[],[]],[[]]]] => 1 [[],[[[[]]],[[]]]] => 2 [[],[[[],[],[]],[]]] => 0 [[],[[[],[[]]],[]]] => 0 [[],[[[[]],[]],[]]] => 0 [[],[[[[],[]]],[]]] => 1 [[],[[[[[]]]],[]]] => 1 [[],[[[],[],[],[]]]] => 1 [[],[[[],[],[[]]]]] => 1 [[],[[[],[[]],[]]]] => 1 [[],[[[],[[],[]]]]] => 1 [[],[[[],[[[]]]]]] => 2 [[],[[[[]],[],[]]]] => 1 [[],[[[[]],[[]]]]] => 1 [[],[[[[],[]],[]]]] => 1 [[],[[[[[]]],[]]]] => 2 [[],[[[[],[],[]]]]] => 1 [[],[[[[],[[]]]]]] => 1 [[],[[[[[]],[]]]]] => 1 [[],[[[[[],[]]]]]] => 1 [[],[[[[[[]]]]]]] => 1 [[[]],[],[],[],[],[]] => 0 [[[]],[],[],[],[[]]] => 0 [[[]],[],[],[[]],[]] => 0 [[[]],[],[],[[],[]]] => 0 [[[]],[],[],[[[]]]] => 1 [[[]],[],[[]],[],[]] => 0 [[[]],[],[[]],[[]]] => 0 [[[]],[],[[],[]],[]] => 0 [[[]],[],[[[]]],[]] => 1 [[[]],[],[[],[],[]]] => 0 [[[]],[],[[],[[]]]] => 0 [[[]],[],[[[]],[]]] => 0 [[[]],[],[[[],[]]]] => 1 [[[]],[],[[[[]]]]] => 1 [[[]],[[]],[],[],[]] => 0 [[[]],[[]],[],[[]]] => 0 [[[]],[[]],[[]],[]] => 0 [[[]],[[]],[[],[]]] => 1 [[[]],[[]],[[[]]]] => 2 [[[]],[[],[]],[],[]] => 0 [[[]],[[[]]],[],[]] => 1 [[[]],[[],[]],[[]]] => 1 [[[]],[[[]]],[[]]] => 2 [[[]],[[],[],[]],[]] => 0 [[[]],[[],[[]]],[]] => 0 [[[]],[[[]],[]],[]] => 0 [[[]],[[[],[]]],[]] => 1 [[[]],[[[[]]]],[]] => 1 [[[]],[[],[],[],[]]] => 1 [[[]],[[],[],[[]]]] => 1 [[[]],[[],[[]],[]]] => 1 [[[]],[[],[[],[]]]] => 1 [[[]],[[],[[[]]]]] => 2 [[[]],[[[]],[],[]]] => 1 [[[]],[[[]],[[]]]] => 2 [[[]],[[[],[]],[]]] => 1 [[[]],[[[[]]],[]]] => 2 [[[]],[[[],[],[]]]] => 2 [[[]],[[[],[[]]]]] => 2 [[[]],[[[[]],[]]]] => 2 [[[]],[[[[],[]]]]] => 2 [[[]],[[[[[]]]]]] => 2 [[[],[]],[],[],[],[]] => 0 [[[[]]],[],[],[],[]] => 1 [[[],[]],[],[],[[]]] => 0 [[[[]]],[],[],[[]]] => 1 [[[],[]],[],[[]],[]] => 0 [[[[]]],[],[[]],[]] => 1 [[[],[]],[],[[],[]]] => 0 [[[],[]],[],[[[]]]] => 1 [[[[]]],[],[[],[]]] => 1 [[[[]]],[],[[[]]]] => 2 [[[],[]],[[]],[],[]] => 0 [[[[]]],[[]],[],[]] => 1 [[[],[]],[[]],[[]]] => 1 [[[[]]],[[]],[[]]] => 2 [[[],[]],[[],[]],[]] => 0 [[[],[]],[[[]]],[]] => 1 [[[[]]],[[],[]],[]] => 1 [[[[]]],[[[]]],[]] => 2 [[[],[]],[[],[],[]]] => 1 [[[],[]],[[],[[]]]] => 1 [[[],[]],[[[]],[]]] => 1 [[[],[]],[[[],[]]]] => 2 [[[],[]],[[[[]]]]] => 2 [[[[]]],[[],[],[]]] => 2 [[[[]]],[[],[[]]]] => 2 [[[[]]],[[[]],[]]] => 2 [[[[]]],[[[],[]]]] => 2 [[[[]]],[[[[]]]]] => 2 [[[],[],[]],[],[],[]] => 0 [[[],[[]]],[],[],[]] => 0 [[[[]],[]],[],[],[]] => 0 [[[[],[]]],[],[],[]] => 1 [[[[[]]]],[],[],[]] => 1 [[[],[],[]],[],[[]]] => 0 [[[],[[]]],[],[[]]] => 0 [[[[]],[]],[],[[]]] => 0 [[[[],[]]],[],[[]]] => 1 [[[[[]]]],[],[[]]] => 1 [[[],[],[]],[[]],[]] => 0 [[[],[[]]],[[]],[]] => 0 [[[[]],[]],[[]],[]] => 0 [[[[],[]]],[[]],[]] => 1 [[[[[]]]],[[]],[]] => 1 [[[],[],[]],[[],[]]] => 1 [[[],[],[]],[[[]]]] => 2 [[[],[[]]],[[],[]]] => 1 [[[],[[]]],[[[]]]] => 2 [[[[]],[]],[[],[]]] => 1 [[[[]],[]],[[[]]]] => 2 [[[[],[]]],[[],[]]] => 2 [[[[],[]]],[[[]]]] => 2 [[[[[]]]],[[],[]]] => 2 [[[[[]]]],[[[]]]] => 2 [[[],[],[],[]],[],[]] => 0 [[[],[],[[]]],[],[]] => 0 [[[],[[]],[]],[],[]] => 0 [[[],[[],[]]],[],[]] => 0 [[[],[[[]]]],[],[]] => 1 [[[[]],[],[]],[],[]] => 0 [[[[]],[[]]],[],[]] => 1 [[[[],[]],[]],[],[]] => 0 [[[[[]]],[]],[],[]] => 1 [[[[],[],[]]],[],[]] => 1 [[[[],[[]]]],[],[]] => 1 [[[[[]],[]]],[],[]] => 1 [[[[[],[]]]],[],[]] => 1 [[[[[[]]]]],[],[]] => 1 [[[],[],[],[]],[[]]] => 1 [[[],[],[[]]],[[]]] => 1 [[[],[[]],[]],[[]]] => 1 [[[],[[],[]]],[[]]] => 1 [[[],[[[]]]],[[]]] => 2 [[[[]],[],[]],[[]]] => 1 [[[[]],[[]]],[[]]] => 2 [[[[],[]],[]],[[]]] => 1 [[[[[]]],[]],[[]]] => 2 [[[[],[],[]]],[[]]] => 2 [[[[],[[]]]],[[]]] => 2 [[[[[]],[]]],[[]]] => 2 [[[[[],[]]]],[[]]] => 2 [[[[[[]]]]],[[]]] => 2 [[[],[],[],[],[]],[]] => 0 [[[],[],[],[[]]],[]] => 0 [[[],[],[[]],[]],[]] => 0 [[[],[],[[],[]]],[]] => 0 [[[],[],[[[]]]],[]] => 1 [[[],[[]],[],[]],[]] => 0 [[[],[[]],[[]]],[]] => 0 [[[],[[],[]],[]],[]] => 0 [[[],[[[]]],[]],[]] => 1 [[[],[[],[],[]]],[]] => 0 [[[],[[],[[]]]],[]] => 0 [[[],[[[]],[]]],[]] => 0 [[[],[[[],[]]]],[]] => 1 [[[],[[[[]]]]],[]] => 1 [[[[]],[],[],[]],[]] => 0 [[[[]],[],[[]]],[]] => 0 [[[[]],[[]],[]],[]] => 0 [[[[]],[[],[]]],[]] => 1 [[[[]],[[[]]]],[]] => 2 [[[[],[]],[],[]],[]] => 0 [[[[[]]],[],[]],[]] => 1 [[[[],[]],[[]]],[]] => 1 [[[[[]]],[[]]],[]] => 2 [[[[],[],[]],[]],[]] => 0 [[[[],[[]]],[]],[]] => 0 [[[[[]],[]],[]],[]] => 0 [[[[[],[]]],[]],[]] => 1 [[[[[[]]]],[]],[]] => 1 [[[[],[],[],[]]],[]] => 1 [[[[],[],[[]]]],[]] => 1 [[[[],[[]],[]]],[]] => 1 [[[[],[[],[]]]],[]] => 1 [[[[],[[[]]]]],[]] => 2 [[[[[]],[],[]]],[]] => 1 [[[[[]],[[]]]],[]] => 1 [[[[[],[]],[]]],[]] => 1 [[[[[[]]],[]]],[]] => 2 [[[[[],[],[]]]],[]] => 1 [[[[[],[[]]]]],[]] => 1 [[[[[[]],[]]]],[]] => 1 [[[[[[],[]]]]],[]] => 1 [[[[[[[]]]]]],[]] => 1 [[[],[],[],[],[],[]]] => 1 [[[],[],[],[],[[]]]] => 1 [[[],[],[],[[]],[]]] => 1 [[[],[],[],[[],[]]]] => 1 [[[],[],[],[[[]]]]] => 2 [[[],[],[[]],[],[]]] => 1 [[[],[],[[]],[[]]]] => 1 [[[],[],[[],[]],[]]] => 1 [[[],[],[[[]]],[]]] => 2 [[[],[],[[],[],[]]]] => 1 [[[],[],[[],[[]]]]] => 1 [[[],[],[[[]],[]]]] => 1 [[[],[],[[[],[]]]]] => 2 [[[],[],[[[[]]]]]] => 2 [[[],[[]],[],[],[]]] => 1 [[[],[[]],[],[[]]]] => 1 [[[],[[]],[[]],[]]] => 1 [[[],[[]],[[],[]]]] => 1 [[[],[[]],[[[]]]]] => 2 [[[],[[],[]],[],[]]] => 1 [[[],[[[]]],[],[]]] => 2 [[[],[[],[]],[[]]]] => 1 [[[],[[[]]],[[]]]] => 2 [[[],[[],[],[]],[]]] => 1 [[[],[[],[[]]],[]]] => 1 [[[],[[[]],[]],[]]] => 1 [[[],[[[],[]]],[]]] => 2 [[[],[[[[]]]],[]]] => 2 [[[],[[],[],[],[]]]] => 1 [[[],[[],[],[[]]]]] => 1 [[[],[[],[[]],[]]]] => 1 [[[],[[],[[],[]]]]] => 1 [[[],[[],[[[]]]]]] => 2 [[[],[[[]],[],[]]]] => 1 [[[],[[[]],[[]]]]] => 2 [[[],[[[],[]],[]]]] => 1 [[[],[[[[]]],[]]]] => 2 [[[],[[[],[],[]]]]] => 2 [[[],[[[],[[]]]]]] => 2 [[[],[[[[]],[]]]]] => 2 [[[],[[[[],[]]]]]] => 2 [[[],[[[[[]]]]]]] => 2 [[[[]],[],[],[],[]]] => 1 [[[[]],[],[],[[]]]] => 1 [[[[]],[],[[]],[]]] => 1 [[[[]],[],[[],[]]]] => 1 [[[[]],[],[[[]]]]] => 2 [[[[]],[[]],[],[]]] => 1 [[[[]],[[]],[[]]]] => 1 [[[[]],[[],[]],[]]] => 1 [[[[]],[[[]]],[]]] => 2 [[[[]],[[],[],[]]]] => 1 [[[[]],[[],[[]]]]] => 1 [[[[]],[[[]],[]]]] => 1 [[[[]],[[[],[]]]]] => 2 [[[[]],[[[[]]]]]] => 2 [[[[],[]],[],[],[]]] => 1 [[[[[]]],[],[],[]]] => 2 [[[[],[]],[],[[]]]] => 1 [[[[[]]],[],[[]]]] => 2 [[[[],[]],[[]],[]]] => 1 [[[[[]]],[[]],[]]] => 2 [[[[],[]],[[],[]]]] => 1 [[[[],[]],[[[]]]]] => 2 [[[[[]]],[[],[]]]] => 2 [[[[[]]],[[[]]]]] => 2 [[[[],[],[]],[],[]]] => 1 [[[[],[[]]],[],[]]] => 1 [[[[[]],[]],[],[]]] => 1 [[[[[],[]]],[],[]]] => 2 [[[[[[]]]],[],[]]] => 2 [[[[],[],[]],[[]]]] => 1 [[[[],[[]]],[[]]]] => 1 [[[[[]],[]],[[]]]] => 1 [[[[[],[]]],[[]]]] => 2 [[[[[[]]]],[[]]]] => 2 [[[[],[],[],[]],[]]] => 1 [[[[],[],[[]]],[]]] => 1 [[[[],[[]],[]],[]]] => 1 [[[[],[[],[]]],[]]] => 1 [[[[],[[[]]]],[]]] => 2 [[[[[]],[],[]],[]]] => 1 [[[[[]],[[]]],[]]] => 2 [[[[[],[]],[]],[]]] => 1 [[[[[[]]],[]],[]]] => 2 [[[[[],[],[]]],[]]] => 2 [[[[[],[[]]]],[]]] => 2 [[[[[[]],[]]],[]]] => 2 [[[[[[],[]]]],[]]] => 2 [[[[[[[]]]]],[]]] => 2 [[[[],[],[],[],[]]]] => 1 [[[[],[],[],[[]]]]] => 1 [[[[],[],[[]],[]]]] => 1 [[[[],[],[[],[]]]]] => 1 [[[[],[],[[[]]]]]] => 2 [[[[],[[]],[],[]]]] => 1 [[[[],[[]],[[]]]]] => 1 [[[[],[[],[]],[]]]] => 1 [[[[],[[[]]],[]]]] => 2 [[[[],[[],[],[]]]]] => 1 [[[[],[[],[[]]]]]] => 1 [[[[],[[[]],[]]]]] => 1 [[[[],[[[],[]]]]]] => 2 [[[[],[[[[]]]]]]] => 2 [[[[[]],[],[],[]]]] => 1 [[[[[]],[],[[]]]]] => 1 [[[[[]],[[]],[]]]] => 1 [[[[[]],[[],[]]]]] => 1 [[[[[]],[[[]]]]]] => 2 [[[[[],[]],[],[]]]] => 1 [[[[[[]]],[],[]]]] => 2 [[[[[],[]],[[]]]]] => 1 [[[[[[]]],[[]]]]] => 2 [[[[[],[],[]],[]]]] => 1 [[[[[],[[]]],[]]]] => 1 [[[[[[]],[]],[]]]] => 1 [[[[[[],[]]],[]]]] => 2 [[[[[[[]]]],[]]]] => 2 [[[[[],[],[],[]]]]] => 1 [[[[[],[],[[]]]]]] => 1 [[[[[],[[]],[]]]]] => 1 [[[[[],[[],[]]]]]] => 1 [[[[[],[[[]]]]]]] => 2 [[[[[[]],[],[]]]]] => 1 [[[[[[]],[[]]]]]] => 1 [[[[[[],[]],[]]]]] => 1 [[[[[[[]]],[]]]]] => 2 [[[[[[],[],[]]]]]] => 1 [[[[[[],[[]]]]]]] => 1 [[[[[[[]],[]]]]]] => 1 [[[[[[[],[]]]]]]] => 1 [[[[[[[[]]]]]]]] => 1 [[],[],[],[],[],[],[],[]] => 0 [[],[],[],[],[],[],[[]]] => 0 [[],[],[],[],[],[[]],[]] => 0 [[],[],[],[],[],[[],[]]] => 0 [[],[],[],[],[],[[[]]]] => 1 [[],[],[],[],[[]],[],[]] => 0 [[],[],[],[],[[]],[[]]] => 0 [[],[],[],[],[[],[]],[]] => 0 [[],[],[],[],[[[]]],[]] => 1 [[],[],[],[],[[],[],[]]] => 0 [[],[],[],[],[[],[[]]]] => 0 [[],[],[],[],[[[]],[]]] => 0 [[],[],[],[],[[[],[]]]] => 1 [[],[],[],[],[[[[]]]]] => 1 [[],[],[],[[]],[],[],[]] => 0 [[],[],[],[[]],[],[[]]] => 0 [[],[],[],[[]],[[]],[]] => 0 [[],[],[],[[]],[[],[]]] => 0 [[],[],[],[[]],[[[]]]] => 1 [[],[],[],[[],[]],[],[]] => 0 [[],[],[],[[[]]],[],[]] => 1 [[],[],[],[[],[]],[[]]] => 0 [[],[],[],[[[]]],[[]]] => 1 [[],[],[],[[],[],[]],[]] => 0 [[],[],[],[[],[[]]],[]] => 0 [[],[],[],[[[]],[]],[]] => 0 [[],[],[],[[[],[]]],[]] => 1 [[],[],[],[[[[]]]],[]] => 1 [[],[],[],[[],[],[],[]]] => 0 [[],[],[],[[],[],[[]]]] => 0 [[],[],[],[[],[[]],[]]] => 0 [[],[],[],[[],[[],[]]]] => 0 [[],[],[],[[],[[[]]]]] => 1 [[],[],[],[[[]],[],[]]] => 0 [[],[],[],[[[]],[[]]]] => 1 [[],[],[],[[[],[]],[]]] => 0 [[],[],[],[[[[]]],[]]] => 1 [[],[],[],[[[],[],[]]]] => 1 [[],[],[],[[[],[[]]]]] => 1 [[],[],[],[[[[]],[]]]] => 1 [[],[],[],[[[[],[]]]]] => 1 [[],[],[],[[[[[]]]]]] => 1 [[],[],[[]],[],[],[],[]] => 0 [[],[],[[]],[],[],[[]]] => 0 [[],[],[[]],[],[[]],[]] => 0 [[],[],[[]],[],[[],[]]] => 0 [[],[],[[]],[],[[[]]]] => 1 [[],[],[[]],[[]],[],[]] => 0 [[],[],[[]],[[]],[[]]] => 0 [[],[],[[]],[[],[]],[]] => 0 [[],[],[[]],[[[]]],[]] => 1 [[],[],[[]],[[],[],[]]] => 0 [[],[],[[]],[[],[[]]]] => 0 [[],[],[[]],[[[]],[]]] => 0 [[],[],[[]],[[[],[]]]] => 1 [[],[],[[]],[[[[]]]]] => 1 [[],[],[[],[]],[],[],[]] => 0 [[],[],[[[]]],[],[],[]] => 1 [[],[],[[],[]],[],[[]]] => 0 [[],[],[[[]]],[],[[]]] => 1 [[],[],[[],[]],[[]],[]] => 0 [[],[],[[[]]],[[]],[]] => 1 [[],[],[[],[]],[[],[]]] => 0 [[],[],[[],[]],[[[]]]] => 1 [[],[],[[[]]],[[],[]]] => 1 [[],[],[[[]]],[[[]]]] => 2 [[],[],[[],[],[]],[],[]] => 0 [[],[],[[],[[]]],[],[]] => 0 [[],[],[[[]],[]],[],[]] => 0 [[],[],[[[],[]]],[],[]] => 1 [[],[],[[[[]]]],[],[]] => 1 [[],[],[[],[],[]],[[]]] => 0 [[],[],[[],[[]]],[[]]] => 0 [[],[],[[[]],[]],[[]]] => 0 [[],[],[[[],[]]],[[]]] => 1 [[],[],[[[[]]]],[[]]] => 1 [[],[],[[],[],[],[]],[]] => 0 [[],[],[[],[],[[]]],[]] => 0 [[],[],[[],[[]],[]],[]] => 0 [[],[],[[],[[],[]]],[]] => 0 [[],[],[[],[[[]]]],[]] => 1 [[],[],[[[]],[],[]],[]] => 0 [[],[],[[[]],[[]]],[]] => 1 [[],[],[[[],[]],[]],[]] => 0 [[],[],[[[[]]],[]],[]] => 1 [[],[],[[[],[],[]]],[]] => 1 [[],[],[[[],[[]]]],[]] => 1 [[],[],[[[[]],[]]],[]] => 1 [[],[],[[[[],[]]]],[]] => 1 [[],[],[[[[[]]]]],[]] => 1 [[],[],[[],[],[],[],[]]] => 0 [[],[],[[],[],[],[[]]]] => 0 [[],[],[[],[],[[]],[]]] => 0 [[],[],[[],[],[[],[]]]] => 0 [[],[],[[],[],[[[]]]]] => 1 [[],[],[[],[[]],[],[]]] => 0 [[],[],[[],[[]],[[]]]] => 0 [[],[],[[],[[],[]],[]]] => 0 [[],[],[[],[[[]]],[]]] => 1 [[],[],[[],[[],[],[]]]] => 0 [[],[],[[],[[],[[]]]]] => 0 [[],[],[[],[[[]],[]]]] => 0 [[],[],[[],[[[],[]]]]] => 1 [[],[],[[],[[[[]]]]]] => 1 [[],[],[[[]],[],[],[]]] => 0 [[],[],[[[]],[],[[]]]] => 0 [[],[],[[[]],[[]],[]]] => 0 [[],[],[[[]],[[],[]]]] => 1 [[],[],[[[]],[[[]]]]] => 2 [[],[],[[[],[]],[],[]]] => 0 [[],[],[[[[]]],[],[]]] => 1 [[],[],[[[],[]],[[]]]] => 1 [[],[],[[[[]]],[[]]]] => 2 [[],[],[[[],[],[]],[]]] => 0 [[],[],[[[],[[]]],[]]] => 0 [[],[],[[[[]],[]],[]]] => 0 [[],[],[[[[],[]]],[]]] => 1 [[],[],[[[[[]]]],[]]] => 1 [[],[],[[[],[],[],[]]]] => 1 [[],[],[[[],[],[[]]]]] => 1 [[],[],[[[],[[]],[]]]] => 1 [[],[],[[[],[[],[]]]]] => 1 [[],[],[[[],[[[]]]]]] => 2 [[],[],[[[[]],[],[]]]] => 1 [[],[],[[[[]],[[]]]]] => 1 [[],[],[[[[],[]],[]]]] => 1 [[],[],[[[[[]]],[]]]] => 2 [[],[],[[[[],[],[]]]]] => 1 [[],[],[[[[],[[]]]]]] => 1 [[],[],[[[[[]],[]]]]] => 1 [[],[],[[[[[],[]]]]]] => 1 [[],[],[[[[[[]]]]]]] => 1 [[],[[]],[],[],[],[],[]] => 0 [[],[[]],[],[],[],[[]]] => 0 [[],[[]],[],[],[[]],[]] => 0 [[],[[]],[],[],[[],[]]] => 0 [[],[[]],[],[],[[[]]]] => 1 [[],[[]],[],[[]],[],[]] => 0 [[],[[]],[],[[]],[[]]] => 0 [[],[[]],[],[[],[]],[]] => 0 [[],[[]],[],[[[]]],[]] => 1 [[],[[]],[],[[],[],[]]] => 0 [[],[[]],[],[[],[[]]]] => 0 [[],[[]],[],[[[]],[]]] => 0 [[],[[]],[],[[[],[]]]] => 1 [[],[[]],[],[[[[]]]]] => 1 [[],[[]],[[]],[],[],[]] => 0 [[],[[]],[[]],[],[[]]] => 0 [[],[[]],[[]],[[]],[]] => 0 [[],[[]],[[]],[[],[]]] => 0 [[],[[]],[[]],[[[]]]] => 1 [[],[[]],[[],[]],[],[]] => 0 [[],[[]],[[[]]],[],[]] => 1 [[],[[]],[[],[]],[[]]] => 0 [[],[[]],[[[]]],[[]]] => 1 [[],[[]],[[],[],[]],[]] => 0 [[],[[]],[[],[[]]],[]] => 0 [[],[[]],[[[]],[]],[]] => 0 [[],[[]],[[[],[]]],[]] => 1 [[],[[]],[[[[]]]],[]] => 1 [[],[[]],[[],[],[],[]]] => 0 [[],[[]],[[],[],[[]]]] => 0 [[],[[]],[[],[[]],[]]] => 0 [[],[[]],[[],[[],[]]]] => 0 [[],[[]],[[],[[[]]]]] => 1 [[],[[]],[[[]],[],[]]] => 0 [[],[[]],[[[]],[[]]]] => 1 [[],[[]],[[[],[]],[]]] => 0 [[],[[]],[[[[]]],[]]] => 1 [[],[[]],[[[],[],[]]]] => 1 [[],[[]],[[[],[[]]]]] => 1 [[],[[]],[[[[]],[]]]] => 1 [[],[[]],[[[[],[]]]]] => 1 [[],[[]],[[[[[]]]]]] => 1 [[],[[],[]],[],[],[],[]] => 0 [[],[[[]]],[],[],[],[]] => 1 [[],[[],[]],[],[],[[]]] => 0 [[],[[[]]],[],[],[[]]] => 1 [[],[[],[]],[],[[]],[]] => 0 [[],[[[]]],[],[[]],[]] => 1 [[],[[],[]],[],[[],[]]] => 0 [[],[[],[]],[],[[[]]]] => 1 [[],[[[]]],[],[[],[]]] => 1 [[],[[[]]],[],[[[]]]] => 2 [[],[[],[]],[[]],[],[]] => 0 [[],[[[]]],[[]],[],[]] => 1 [[],[[],[]],[[]],[[]]] => 0 [[],[[[]]],[[]],[[]]] => 1 [[],[[],[]],[[],[]],[]] => 0 [[],[[],[]],[[[]]],[]] => 1 [[],[[[]]],[[],[]],[]] => 1 [[],[[[]]],[[[]]],[]] => 2 [[],[[],[]],[[],[],[]]] => 0 [[],[[],[]],[[],[[]]]] => 0 [[],[[],[]],[[[]],[]]] => 0 [[],[[],[]],[[[],[]]]] => 1 [[],[[],[]],[[[[]]]]] => 1 [[],[[[]]],[[],[],[]]] => 1 [[],[[[]]],[[],[[]]]] => 1 [[],[[[]]],[[[]],[]]] => 1 [[],[[[]]],[[[],[]]]] => 2 [[],[[[]]],[[[[]]]]] => 2 [[],[[],[],[]],[],[],[]] => 0 [[],[[],[[]]],[],[],[]] => 0 [[],[[[]],[]],[],[],[]] => 0 [[],[[[],[]]],[],[],[]] => 1 [[],[[[[]]]],[],[],[]] => 1 [[],[[],[],[]],[],[[]]] => 0 [[],[[],[[]]],[],[[]]] => 0 [[],[[[]],[]],[],[[]]] => 0 [[],[[[],[]]],[],[[]]] => 1 [[],[[[[]]]],[],[[]]] => 1 [[],[[],[],[]],[[]],[]] => 0 [[],[[],[[]]],[[]],[]] => 0 [[],[[[]],[]],[[]],[]] => 0 [[],[[[],[]]],[[]],[]] => 1 [[],[[[[]]]],[[]],[]] => 1 [[],[[],[],[]],[[],[]]] => 0 [[],[[],[],[]],[[[]]]] => 1 [[],[[],[[]]],[[],[]]] => 0 [[],[[],[[]]],[[[]]]] => 1 [[],[[[]],[]],[[],[]]] => 0 [[],[[[]],[]],[[[]]]] => 1 [[],[[[],[]]],[[],[]]] => 1 [[],[[[],[]]],[[[]]]] => 2 [[],[[[[]]]],[[],[]]] => 1 [[],[[[[]]]],[[[]]]] => 2 [[],[[],[],[],[]],[],[]] => 0 [[],[[],[],[[]]],[],[]] => 0 [[],[[],[[]],[]],[],[]] => 0 [[],[[],[[],[]]],[],[]] => 0 [[],[[],[[[]]]],[],[]] => 1 [[],[[[]],[],[]],[],[]] => 0 [[],[[[]],[[]]],[],[]] => 1 [[],[[[],[]],[]],[],[]] => 0 [[],[[[[]]],[]],[],[]] => 1 [[],[[[],[],[]]],[],[]] => 1 [[],[[[],[[]]]],[],[]] => 1 [[],[[[[]],[]]],[],[]] => 1 [[],[[[[],[]]]],[],[]] => 1 [[],[[[[[]]]]],[],[]] => 1 [[],[[],[],[],[]],[[]]] => 0 [[],[[],[],[[]]],[[]]] => 0 [[],[[],[[]],[]],[[]]] => 0 [[],[[],[[],[]]],[[]]] => 0 [[],[[],[[[]]]],[[]]] => 1 [[],[[[]],[],[]],[[]]] => 0 [[],[[[]],[[]]],[[]]] => 1 [[],[[[],[]],[]],[[]]] => 0 [[],[[[[]]],[]],[[]]] => 1 [[],[[[],[],[]]],[[]]] => 1 [[],[[[],[[]]]],[[]]] => 1 [[],[[[[]],[]]],[[]]] => 1 [[],[[[[],[]]]],[[]]] => 1 [[],[[[[[]]]]],[[]]] => 1 [[],[[],[],[],[],[]],[]] => 0 [[],[[],[],[],[[]]],[]] => 0 [[],[[],[],[[]],[]],[]] => 0 [[],[[],[],[[],[]]],[]] => 0 [[],[[],[],[[[]]]],[]] => 1 [[],[[],[[]],[],[]],[]] => 0 [[],[[],[[]],[[]]],[]] => 0 [[],[[],[[],[]],[]],[]] => 0 [[],[[],[[[]]],[]],[]] => 1 [[],[[],[[],[],[]]],[]] => 0 [[],[[],[[],[[]]]],[]] => 0 [[],[[],[[[]],[]]],[]] => 0 [[],[[],[[[],[]]]],[]] => 1 [[],[[],[[[[]]]]],[]] => 1 [[],[[[]],[],[],[]],[]] => 0 [[],[[[]],[],[[]]],[]] => 0 [[],[[[]],[[]],[]],[]] => 0 [[],[[[]],[[],[]]],[]] => 1 [[],[[[]],[[[]]]],[]] => 2 [[],[[[],[]],[],[]],[]] => 0 [[],[[[[]]],[],[]],[]] => 1 [[],[[[],[]],[[]]],[]] => 1 [[],[[[[]]],[[]]],[]] => 2 [[],[[[],[],[]],[]],[]] => 0 [[],[[[],[[]]],[]],[]] => 0 [[],[[[[]],[]],[]],[]] => 0 [[],[[[[],[]]],[]],[]] => 1 [[],[[[[[]]]],[]],[]] => 1 [[],[[[],[],[],[]]],[]] => 1 [[],[[[],[],[[]]]],[]] => 1 [[],[[[],[[]],[]]],[]] => 1 [[],[[[],[[],[]]]],[]] => 1 [[],[[[],[[[]]]]],[]] => 2 [[],[[[[]],[],[]]],[]] => 1 [[],[[[[]],[[]]]],[]] => 1 [[],[[[[],[]],[]]],[]] => 1 [[],[[[[[]]],[]]],[]] => 2 [[],[[[[],[],[]]]],[]] => 1 [[],[[[[],[[]]]]],[]] => 1 [[],[[[[[]],[]]]],[]] => 1 [[],[[[[[],[]]]]],[]] => 1 [[],[[[[[[]]]]]],[]] => 1 [[],[[],[],[],[],[],[]]] => 0 [[],[[],[],[],[],[[]]]] => 0 [[],[[],[],[],[[]],[]]] => 0 [[],[[],[],[],[[],[]]]] => 0 [[],[[],[],[],[[[]]]]] => 1 [[],[[],[],[[]],[],[]]] => 0 [[],[[],[],[[]],[[]]]] => 0 [[],[[],[],[[],[]],[]]] => 0 [[],[[],[],[[[]]],[]]] => 1 [[],[[],[],[[],[],[]]]] => 0 [[],[[],[],[[],[[]]]]] => 0 [[],[[],[],[[[]],[]]]] => 0 [[],[[],[],[[[],[]]]]] => 1 [[],[[],[],[[[[]]]]]] => 1 [[],[[],[[]],[],[],[]]] => 0 [[],[[],[[]],[],[[]]]] => 0 [[],[[],[[]],[[]],[]]] => 0 [[],[[],[[]],[[],[]]]] => 0 [[],[[],[[]],[[[]]]]] => 1 [[],[[],[[],[]],[],[]]] => 0 [[],[[],[[[]]],[],[]]] => 1 [[],[[],[[],[]],[[]]]] => 0 [[],[[],[[[]]],[[]]]] => 1 [[],[[],[[],[],[]],[]]] => 0 [[],[[],[[],[[]]],[]]] => 0 [[],[[],[[[]],[]],[]]] => 0 [[],[[],[[[],[]]],[]]] => 1 [[],[[],[[[[]]]],[]]] => 1 [[],[[],[[],[],[],[]]]] => 0 [[],[[],[[],[],[[]]]]] => 0 [[],[[],[[],[[]],[]]]] => 0 [[],[[],[[],[[],[]]]]] => 0 [[],[[],[[],[[[]]]]]] => 1 [[],[[],[[[]],[],[]]]] => 0 [[],[[],[[[]],[[]]]]] => 1 [[],[[],[[[],[]],[]]]] => 0 [[],[[],[[[[]]],[]]]] => 1 [[],[[],[[[],[],[]]]]] => 1 [[],[[],[[[],[[]]]]]] => 1 [[],[[],[[[[]],[]]]]] => 1 [[],[[],[[[[],[]]]]]] => 1 [[],[[],[[[[[]]]]]]] => 1 [[],[[[]],[],[],[],[]]] => 0 [[],[[[]],[],[],[[]]]] => 0 [[],[[[]],[],[[]],[]]] => 0 [[],[[[]],[],[[],[]]]] => 0 [[],[[[]],[],[[[]]]]] => 1 [[],[[[]],[[]],[],[]]] => 0 [[],[[[]],[[]],[[]]]] => 1 [[],[[[]],[[],[]],[]]] => 0 [[],[[[]],[[[]]],[]]] => 1 [[],[[[]],[[],[],[]]]] => 1 [[],[[[]],[[],[[]]]]] => 1 [[],[[[]],[[[]],[]]]] => 1 [[],[[[]],[[[],[]]]]] => 2 [[],[[[]],[[[[]]]]]] => 2 [[],[[[],[]],[],[],[]]] => 0 [[],[[[[]]],[],[],[]]] => 1 [[],[[[],[]],[],[[]]]] => 0 [[],[[[[]]],[],[[]]]] => 1 [[],[[[],[]],[[]],[]]] => 0 [[],[[[[]]],[[]],[]]] => 1 [[],[[[],[]],[[],[]]]] => 1 [[],[[[],[]],[[[]]]]] => 2 [[],[[[[]]],[[],[]]]] => 2 [[],[[[[]]],[[[]]]]] => 2 [[],[[[],[],[]],[],[]]] => 0 [[],[[[],[[]]],[],[]]] => 0 [[],[[[[]],[]],[],[]]] => 0 [[],[[[[],[]]],[],[]]] => 1 [[],[[[[[]]]],[],[]]] => 1 [[],[[[],[],[]],[[]]]] => 1 [[],[[[],[[]]],[[]]]] => 1 [[],[[[[]],[]],[[]]]] => 1 [[],[[[[],[]]],[[]]]] => 2 [[],[[[[[]]]],[[]]]] => 2 [[],[[[],[],[],[]],[]]] => 0 [[],[[[],[],[[]]],[]]] => 0 [[],[[[],[[]],[]],[]]] => 0 [[],[[[],[[],[]]],[]]] => 0 [[],[[[],[[[]]]],[]]] => 1 [[],[[[[]],[],[]],[]]] => 0 [[],[[[[]],[[]]],[]]] => 1 [[],[[[[],[]],[]],[]]] => 0 [[],[[[[[]]],[]],[]]] => 1 [[],[[[[],[],[]]],[]]] => 1 [[],[[[[],[[]]]],[]]] => 1 [[],[[[[[]],[]]],[]]] => 1 [[],[[[[[],[]]]],[]]] => 1 [[],[[[[[[]]]]],[]]] => 1 [[],[[[],[],[],[],[]]]] => 1 [[],[[[],[],[],[[]]]]] => 1 [[],[[[],[],[[]],[]]]] => 1 [[],[[[],[],[[],[]]]]] => 1 [[],[[[],[],[[[]]]]]] => 2 [[],[[[],[[]],[],[]]]] => 1 [[],[[[],[[]],[[]]]]] => 1 [[],[[[],[[],[]],[]]]] => 1 [[],[[[],[[[]]],[]]]] => 2 [[],[[[],[[],[],[]]]]] => 1 [[],[[[],[[],[[]]]]]] => 1 [[],[[[],[[[]],[]]]]] => 1 [[],[[[],[[[],[]]]]]] => 2 [[],[[[],[[[[]]]]]]] => 2 [[],[[[[]],[],[],[]]]] => 1 [[],[[[[]],[],[[]]]]] => 1 [[],[[[[]],[[]],[]]]] => 1 [[],[[[[]],[[],[]]]]] => 1 [[],[[[[]],[[[]]]]]] => 2 [[],[[[[],[]],[],[]]]] => 1 [[],[[[[[]]],[],[]]]] => 2 [[],[[[[],[]],[[]]]]] => 1 [[],[[[[[]]],[[]]]]] => 2 [[],[[[[],[],[]],[]]]] => 1 [[],[[[[],[[]]],[]]]] => 1 [[],[[[[[]],[]],[]]]] => 1 [[],[[[[[],[]]],[]]]] => 2 [[],[[[[[[]]]],[]]]] => 2 [[],[[[[],[],[],[]]]]] => 1 [[],[[[[],[],[[]]]]]] => 1 [[],[[[[],[[]],[]]]]] => 1 [[],[[[[],[[],[]]]]]] => 1 [[],[[[[],[[[]]]]]]] => 2 [[],[[[[[]],[],[]]]]] => 1 [[],[[[[[]],[[]]]]]] => 1 [[],[[[[[],[]],[]]]]] => 1 [[],[[[[[[]]],[]]]]] => 2 [[],[[[[[],[],[]]]]]] => 1 [[],[[[[[],[[]]]]]]] => 1 [[],[[[[[[]],[]]]]]] => 1 [[],[[[[[[],[]]]]]]] => 1 [[],[[[[[[[]]]]]]]] => 1 [[[]],[],[],[],[],[],[]] => 0 [[[]],[],[],[],[],[[]]] => 0 [[[]],[],[],[],[[]],[]] => 0 [[[]],[],[],[],[[],[]]] => 0 [[[]],[],[],[],[[[]]]] => 1 [[[]],[],[],[[]],[],[]] => 0 [[[]],[],[],[[]],[[]]] => 0 [[[]],[],[],[[],[]],[]] => 0 [[[]],[],[],[[[]]],[]] => 1 [[[]],[],[],[[],[],[]]] => 0 [[[]],[],[],[[],[[]]]] => 0 [[[]],[],[],[[[]],[]]] => 0 [[[]],[],[],[[[],[]]]] => 1 [[[]],[],[],[[[[]]]]] => 1 [[[]],[],[[]],[],[],[]] => 0 [[[]],[],[[]],[],[[]]] => 0 [[[]],[],[[]],[[]],[]] => 0 [[[]],[],[[]],[[],[]]] => 0 [[[]],[],[[]],[[[]]]] => 1 [[[]],[],[[],[]],[],[]] => 0 [[[]],[],[[[]]],[],[]] => 1 [[[]],[],[[],[]],[[]]] => 0 [[[]],[],[[[]]],[[]]] => 1 [[[]],[],[[],[],[]],[]] => 0 [[[]],[],[[],[[]]],[]] => 0 [[[]],[],[[[]],[]],[]] => 0 [[[]],[],[[[],[]]],[]] => 1 [[[]],[],[[[[]]]],[]] => 1 [[[]],[],[[],[],[],[]]] => 0 [[[]],[],[[],[],[[]]]] => 0 [[[]],[],[[],[[]],[]]] => 0 [[[]],[],[[],[[],[]]]] => 0 [[[]],[],[[],[[[]]]]] => 1 [[[]],[],[[[]],[],[]]] => 0 [[[]],[],[[[]],[[]]]] => 1 [[[]],[],[[[],[]],[]]] => 0 [[[]],[],[[[[]]],[]]] => 1 [[[]],[],[[[],[],[]]]] => 1 [[[]],[],[[[],[[]]]]] => 1 [[[]],[],[[[[]],[]]]] => 1 [[[]],[],[[[[],[]]]]] => 1 [[[]],[],[[[[[]]]]]] => 1 [[[]],[[]],[],[],[],[]] => 0 [[[]],[[]],[],[],[[]]] => 0 [[[]],[[]],[],[[]],[]] => 0 [[[]],[[]],[],[[],[]]] => 0 [[[]],[[]],[],[[[]]]] => 1 [[[]],[[]],[[]],[],[]] => 0 [[[]],[[]],[[]],[[]]] => 1 [[[]],[[]],[[],[]],[]] => 0 [[[]],[[]],[[[]]],[]] => 1 [[[]],[[]],[[],[],[]]] => 1 [[[]],[[]],[[],[[]]]] => 1 [[[]],[[]],[[[]],[]]] => 1 [[[]],[[]],[[[],[]]]] => 2 [[[]],[[]],[[[[]]]]] => 2 [[[]],[[],[]],[],[],[]] => 0 [[[]],[[[]]],[],[],[]] => 1 [[[]],[[],[]],[],[[]]] => 0 [[[]],[[[]]],[],[[]]] => 1 [[[]],[[],[]],[[]],[]] => 0 [[[]],[[[]]],[[]],[]] => 1 [[[]],[[],[]],[[],[]]] => 1 [[[]],[[],[]],[[[]]]] => 2 [[[]],[[[]]],[[],[]]] => 2 [[[]],[[[]]],[[[]]]] => 3 [[[]],[[],[],[]],[],[]] => 0 [[[]],[[],[[]]],[],[]] => 0 [[[]],[[[]],[]],[],[]] => 0 [[[]],[[[],[]]],[],[]] => 1 [[[]],[[[[]]]],[],[]] => 1 [[[]],[[],[],[]],[[]]] => 1 [[[]],[[],[[]]],[[]]] => 1 [[[]],[[[]],[]],[[]]] => 1 [[[]],[[[],[]]],[[]]] => 2 [[[]],[[[[]]]],[[]]] => 2 [[[]],[[],[],[],[]],[]] => 0 [[[]],[[],[],[[]]],[]] => 0 [[[]],[[],[[]],[]],[]] => 0 [[[]],[[],[[],[]]],[]] => 0 [[[]],[[],[[[]]]],[]] => 1 [[[]],[[[]],[],[]],[]] => 0 [[[]],[[[]],[[]]],[]] => 1 [[[]],[[[],[]],[]],[]] => 0 [[[]],[[[[]]],[]],[]] => 1 [[[]],[[[],[],[]]],[]] => 1 [[[]],[[[],[[]]]],[]] => 1 [[[]],[[[[]],[]]],[]] => 1 [[[]],[[[[],[]]]],[]] => 1 [[[]],[[[[[]]]]],[]] => 1 [[[]],[[],[],[],[],[]]] => 1 [[[]],[[],[],[],[[]]]] => 1 [[[]],[[],[],[[]],[]]] => 1 [[[]],[[],[],[[],[]]]] => 1 [[[]],[[],[],[[[]]]]] => 2 [[[]],[[],[[]],[],[]]] => 1 [[[]],[[],[[]],[[]]]] => 1 [[[]],[[],[[],[]],[]]] => 1 [[[]],[[],[[[]]],[]]] => 2 [[[]],[[],[[],[],[]]]] => 1 [[[]],[[],[[],[[]]]]] => 1 [[[]],[[],[[[]],[]]]] => 1 [[[]],[[],[[[],[]]]]] => 2 [[[]],[[],[[[[]]]]]] => 2 [[[]],[[[]],[],[],[]]] => 1 [[[]],[[[]],[],[[]]]] => 1 [[[]],[[[]],[[]],[]]] => 1 [[[]],[[[]],[[],[]]]] => 2 [[[]],[[[]],[[[]]]]] => 3 [[[]],[[[],[]],[],[]]] => 1 [[[]],[[[[]]],[],[]]] => 2 [[[]],[[[],[]],[[]]]] => 2 [[[]],[[[[]]],[[]]]] => 3 [[[]],[[[],[],[]],[]]] => 1 [[[]],[[[],[[]]],[]]] => 1 [[[]],[[[[]],[]],[]]] => 1 [[[]],[[[[],[]]],[]]] => 2 [[[]],[[[[[]]]],[]]] => 2 [[[]],[[[],[],[],[]]]] => 2 [[[]],[[[],[],[[]]]]] => 2 [[[]],[[[],[[]],[]]]] => 2 [[[]],[[[],[[],[]]]]] => 2 [[[]],[[[],[[[]]]]]] => 3 [[[]],[[[[]],[],[]]]] => 2 [[[]],[[[[]],[[]]]]] => 2 [[[]],[[[[],[]],[]]]] => 2 [[[]],[[[[[]]],[]]]] => 3 [[[]],[[[[],[],[]]]]] => 2 [[[]],[[[[],[[]]]]]] => 2 [[[]],[[[[[]],[]]]]] => 2 [[[]],[[[[[],[]]]]]] => 2 [[[]],[[[[[[]]]]]]] => 2 [[[],[]],[],[],[],[],[]] => 0 [[[[]]],[],[],[],[],[]] => 1 [[[],[]],[],[],[],[[]]] => 0 [[[[]]],[],[],[],[[]]] => 1 [[[],[]],[],[],[[]],[]] => 0 [[[[]]],[],[],[[]],[]] => 1 [[[],[]],[],[],[[],[]]] => 0 [[[],[]],[],[],[[[]]]] => 1 [[[[]]],[],[],[[],[]]] => 1 [[[[]]],[],[],[[[]]]] => 2 [[[],[]],[],[[]],[],[]] => 0 [[[[]]],[],[[]],[],[]] => 1 [[[],[]],[],[[]],[[]]] => 0 [[[[]]],[],[[]],[[]]] => 1 [[[],[]],[[],[[],[]]]] => 1 [[[],[]],[[[],[]],[]]] => 1 [[[],[[],[]]],[[],[]]] => 1 [[[[],[]],[]],[[],[]]] => 1 [[[],[[],[[],[]]]],[]] => 0 [[[],[[[],[]],[]]],[]] => 0 [[[[],[]],[[],[]]],[]] => 1 [[[[],[[],[]]],[]],[]] => 0 [[[[[],[]],[]],[]],[]] => 0 [[[[[],[[[]]]]]],[]] => 2 [[[[[[[]]],[]]]],[]] => 2 [[[[[[],[],[]]]]],[]] => 1 [[[[[[],[[]]]]]],[]] => 1 [[[[[[[]],[]]]]],[]] => 1 [[[[[[[],[]]]]]],[]] => 1 [[[[[[[[]]]]]]],[]] => 1 [[[[[[[[[]]]]]]]],[]] => 1 [[],[[[[[[[[]]]]]]]]] => 1 [[[[[[[[],[]]]]]]],[]] => 1 [[],[[[[[[[],[]]]]]]]] => 1 [[[[[[[[]],[]]]]]],[]] => 1 [[[[[[[],[[]]]]]]],[]] => 1 [[],[[[[[[[]],[]]]]]]] => 1 [[],[[[[[[],[[]]]]]]]] => 1 [[],[[],[[],[[],[[],[]]]]]] => 0 [[],[[],[[],[[[],[]],[]]]]] => 0 [[],[[],[[[],[]],[[],[]]]]] => 1 [[],[[],[[[],[[],[]]],[]]]] => 0 [[],[[],[[[[],[]],[]],[]]]] => 0 [[],[[[],[]],[[],[[],[]]]]] => 1 [[],[[[],[]],[[[],[]],[]]]] => 1 [[],[[[],[[],[]]],[[],[]]]] => 1 [[],[[[[],[]],[]],[[],[]]]] => 1 [[],[[[],[[],[[],[]]]],[]]] => 0 [[],[[[],[[[],[]],[]]],[]]] => 0 [[],[[[[],[]],[[],[]]],[]]] => 1 [[],[[[[],[[],[]]],[]],[]]] => 0 [[],[[[[[],[]],[]],[]],[]]] => 0 [[[],[]],[[],[[],[[],[]]]]] => 1 [[[],[]],[[],[[[],[]],[]]]] => 1 [[[],[]],[[[],[]],[[],[]]]] => 2 [[[],[]],[[[],[[],[]]],[]]] => 1 [[[],[]],[[[[],[]],[]],[]]] => 1 [[[],[[],[]]],[[],[[],[]]]] => 1 [[[],[[],[]]],[[[],[]],[]]] => 1 [[[[],[]],[]],[[],[[],[]]]] => 1 [[[[],[]],[]],[[[],[]],[]]] => 1 [[[],[[],[[],[]]]],[[],[]]] => 1 [[[],[[[],[]],[]]],[[],[]]] => 1 [[[[],[]],[[],[]]],[[],[]]] => 2 [[[[],[[],[]]],[]],[[],[]]] => 1 [[[[[],[]],[]],[]],[[],[]]] => 1 [[[],[[],[[],[[],[]]]]],[]] => 0 [[[],[[],[[[],[]],[]]]],[]] => 0 [[[],[[[],[]],[[],[]]]],[]] => 1 [[[],[[[],[[],[]]],[]]],[]] => 0 [[[],[[[[],[]],[]],[]]],[]] => 0 [[[[],[]],[[],[[],[]]]],[]] => 1 [[[[],[]],[[[],[]],[]]],[]] => 1 [[[[],[[],[]]],[[],[]]],[]] => 1 [[[[[],[]],[]],[[],[]]],[]] => 1 [[[[],[[],[[],[]]]],[]],[]] => 0 [[[[],[[[],[]],[]]],[]],[]] => 0 [[[[[],[]],[[],[]]],[]],[]] => 1 [[[[[],[[],[]]],[]],[]],[]] => 0 [[[[[[],[]],[]],[]],[]],[]] => 0 [[[[[[[[[[]]]]]]]]],[]] => 1 [[],[[[[[[[[[]]]]]]]]]] => 1 [[[[[[[[[],[]]]]]]]],[]] => 1 [[],[[[[[[[[],[]]]]]]]]] => 1 [[[[[[[[[[[]]]]]]]]]],[]] => 1 [[],[[[[[[[[[[]]]]]]]]]]] => 1 [[],[[],[[],[[],[[],[[],[]]]]]]] => 0 [[],[[],[[],[[],[[[],[]],[]]]]]] => 0 [[],[[],[[],[[[],[]],[[],[]]]]]] => 1 [[],[[],[[],[[[],[[],[]]],[]]]]] => 0 [[],[[],[[],[[[[],[]],[]],[]]]]] => 0 [[],[[],[[[],[]],[[],[[],[]]]]]] => 1 [[],[[],[[[],[]],[[[],[]],[]]]]] => 1 [[],[[],[[[],[[],[]]],[[],[]]]]] => 1 [[],[[],[[[[],[]],[]],[[],[]]]]] => 1 [[],[[],[[[],[[],[[],[]]]],[]]]] => 0 [[],[[],[[[],[[[],[]],[]]],[]]]] => 0 [[],[[],[[[[],[]],[[],[]]],[]]]] => 1 [[],[[],[[[[],[[],[]]],[]],[]]]] => 0 [[],[[],[[[[[],[]],[]],[]],[]]]] => 0 [[],[[[],[]],[[],[[],[[],[]]]]]] => 1 [[],[[[],[]],[[],[[[],[]],[]]]]] => 1 [[],[[[],[]],[[[],[]],[[],[]]]]] => 2 [[],[[[],[]],[[[],[[],[]]],[]]]] => 1 [[],[[[],[]],[[[[],[]],[]],[]]]] => 1 [[],[[[],[[],[]]],[[],[[],[]]]]] => 1 [[],[[[],[[],[]]],[[[],[]],[]]]] => 1 [[],[[[[],[]],[]],[[],[[],[]]]]] => 1 [[],[[[[],[]],[]],[[[],[]],[]]]] => 1 [[],[[[],[[],[[],[]]]],[[],[]]]] => 1 [[],[[[],[[[],[]],[]]],[[],[]]]] => 1 [[],[[[[],[]],[[],[]]],[[],[]]]] => 2 [[],[[[[],[[],[]]],[]],[[],[]]]] => 1 [[],[[[[[],[]],[]],[]],[[],[]]]] => 1 [[],[[[],[[],[[],[[],[]]]]],[]]] => 0 [[],[[[],[[],[[[],[]],[]]]],[]]] => 0 [[],[[[],[[[],[]],[[],[]]]],[]]] => 1 [[],[[[],[[[],[[],[]]],[]]],[]]] => 0 [[],[[[],[[[[],[]],[]],[]]],[]]] => 0 [[],[[[[],[]],[[],[[],[]]]],[]]] => 1 [[],[[[[],[]],[[[],[]],[]]],[]]] => 1 [[],[[[[],[[],[]]],[[],[]]],[]]] => 1 [[],[[[[[],[]],[]],[[],[]]],[]]] => 1 [[],[[[[],[[],[[],[]]]],[]],[]]] => 0 [[],[[[[],[[[],[]],[]]],[]],[]]] => 0 [[],[[[[[],[]],[[],[]]],[]],[]]] => 1 [[],[[[[[],[[],[]]],[]],[]],[]]] => 0 [[],[[[[[[],[]],[]],[]],[]],[]]] => 0 [[[],[]],[[],[[],[[],[[],[]]]]]] => 1 [[[],[]],[[],[[],[[[],[]],[]]]]] => 1 [[[],[]],[[],[[[],[]],[[],[]]]]] => 2 [[[],[]],[[],[[[],[[],[]]],[]]]] => 1 [[[],[]],[[],[[[[],[]],[]],[]]]] => 1 [[[],[]],[[[],[]],[[],[[],[]]]]] => 2 [[[],[]],[[[],[]],[[[],[]],[]]]] => 2 [[[],[]],[[[],[[],[]]],[[],[]]]] => 2 [[[],[]],[[[[],[]],[]],[[],[]]]] => 2 [[[],[]],[[[],[[],[[],[]]]],[]]] => 1 [[[],[]],[[[],[[[],[]],[]]],[]]] => 1 [[[],[]],[[[[],[]],[[],[]]],[]]] => 2 [[[],[]],[[[[],[[],[]]],[]],[]]] => 1 [[[],[]],[[[[[],[]],[]],[]],[]]] => 1 [[[],[[],[]]],[[],[[],[[],[]]]]] => 1 [[[],[[],[]]],[[],[[[],[]],[]]]] => 1 [[[],[[],[]]],[[[],[]],[[],[]]]] => 2 [[[],[[],[]]],[[[],[[],[]]],[]]] => 1 [[[],[[],[]]],[[[[],[]],[]],[]]] => 1 [[[[],[]],[]],[[],[[],[[],[]]]]] => 1 [[[[],[]],[]],[[],[[[],[]],[]]]] => 1 [[[[],[]],[]],[[[],[]],[[],[]]]] => 2 [[[[],[]],[]],[[[],[[],[]]],[]]] => 1 [[[[],[]],[]],[[[[],[]],[]],[]]] => 1 [[[],[[],[[],[]]]],[[],[[],[]]]] => 1 [[[],[[],[[],[]]]],[[[],[]],[]]] => 1 [[[],[[[],[]],[]]],[[],[[],[]]]] => 1 [[[],[[[],[]],[]]],[[[],[]],[]]] => 1 [[[[],[]],[[],[]]],[[],[[],[]]]] => 2 [[[[],[]],[[],[]]],[[[],[]],[]]] => 2 [[[[],[[],[]]],[]],[[],[[],[]]]] => 1 [[[[],[[],[]]],[]],[[[],[]],[]]] => 1 [[[[[],[]],[]],[]],[[],[[],[]]]] => 1 [[[[[],[]],[]],[]],[[[],[]],[]]] => 1 [[[],[[],[[],[[],[]]]]],[[],[]]] => 1 [[[],[[],[[[],[]],[]]]],[[],[]]] => 1 [[[],[[[],[]],[[],[]]]],[[],[]]] => 2 [[[],[[[],[[],[]]],[]]],[[],[]]] => 1 [[[],[[[[],[]],[]],[]]],[[],[]]] => 1 [[[[],[]],[[],[[],[]]]],[[],[]]] => 2 [[[[],[]],[[[],[]],[]]],[[],[]]] => 2 [[[[],[[],[]]],[[],[]]],[[],[]]] => 2 [[[[[],[]],[]],[[],[]]],[[],[]]] => 2 [[[[],[[],[[],[]]]],[]],[[],[]]] => 1 [[[[],[[[],[]],[]]],[]],[[],[]]] => 1 [[[[[],[]],[[],[]]],[]],[[],[]]] => 2 [[[[[],[[],[]]],[]],[]],[[],[]]] => 1 [[[[[[],[]],[]],[]],[]],[[],[]]] => 1 [[[],[[],[[],[[],[[],[]]]]]],[]] => 0 [[[],[[],[[],[[[],[]],[]]]]],[]] => 0 [[[],[[],[[[],[]],[[],[]]]]],[]] => 1 [[[],[[],[[[],[[],[]]],[]]]],[]] => 0 [[[],[[],[[[[],[]],[]],[]]]],[]] => 0 [[[],[[[],[]],[[],[[],[]]]]],[]] => 1 [[[],[[[],[]],[[[],[]],[]]]],[]] => 1 [[[],[[[],[[],[]]],[[],[]]]],[]] => 1 [[[],[[[[],[]],[]],[[],[]]]],[]] => 1 [[[],[[[],[[],[[],[]]]],[]]],[]] => 0 [[[],[[[],[[[],[]],[]]],[]]],[]] => 0 [[[],[[[[],[]],[[],[]]],[]]],[]] => 1 [[[],[[[[],[[],[]]],[]],[]]],[]] => 0 [[[],[[[[[],[]],[]],[]],[]]],[]] => 0 [[[[],[]],[[],[[],[[],[]]]]],[]] => 1 [[[[],[]],[[],[[[],[]],[]]]],[]] => 1 [[[[],[]],[[[],[]],[[],[]]]],[]] => 2 [[[[],[]],[[[],[[],[]]],[]]],[]] => 1 [[[[],[]],[[[[],[]],[]],[]]],[]] => 1 [[[[],[[],[]]],[[],[[],[]]]],[]] => 1 [[[[],[[],[]]],[[[],[]],[]]],[]] => 1 [[[[[],[]],[]],[[],[[],[]]]],[]] => 1 [[[[[],[]],[]],[[[],[]],[]]],[]] => 1 [[[[],[[],[[],[]]]],[[],[]]],[]] => 1 [[[[],[[[],[]],[]]],[[],[]]],[]] => 1 [[[[[],[]],[[],[]]],[[],[]]],[]] => 2 [[[[[],[[],[]]],[]],[[],[]]],[]] => 1 [[[[[[],[]],[]],[]],[[],[]]],[]] => 1 [[[[],[[],[[],[[],[]]]]],[]],[]] => 0 [[[[],[[],[[[],[]],[]]]],[]],[]] => 0 [[[[],[[[],[]],[[],[]]]],[]],[]] => 1 [[[[],[[[],[[],[]]],[]]],[]],[]] => 0 [[[[],[[[[],[]],[]],[]]],[]],[]] => 0 [[[[[],[]],[[],[[],[]]]],[]],[]] => 1 [[[[[],[]],[[[],[]],[]]],[]],[]] => 1 [[[[[],[[],[]]],[[],[]]],[]],[]] => 1 [[[[[[],[]],[]],[[],[]]],[]],[]] => 1 [[[[[],[[],[[],[]]]],[]],[]],[]] => 0 [[[[[],[[[],[]],[]]],[]],[]],[]] => 0 [[[[[[],[]],[[],[]]],[]],[]],[]] => 1 [[[[[[],[[],[]]],[]],[]],[]],[]] => 0 [[[[[[[],[]],[]],[]],[]],[]],[]] => 0 ----------------------------------------------------------------------------- Created: Jun 02, 2016 at 09:40 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Dec 26, 2017 at 10:04 by Martin Rubey