***************************************************************************** * 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: St001947 ----------------------------------------------------------------------------- Collection: Parking functions ----------------------------------------------------------------------------- Description: The number of ties in a parking function. This is the number of indices $i$ such that $p_i=p_{i+1}$. ----------------------------------------------------------------------------- References: [1] Schumacher, P.R.F. Descents in Parking Functions, Journal of Integer Sequences, Vol. 21 (2018), Article 18.2.3. [[https://www.emis.de/journals/JIS/VOL21/Schumacher/schu5.pdf]] ----------------------------------------------------------------------------- Code: def statistic(p): return sum(1 for i in range(len(p)-1) if p[i] == p[i+1]) ----------------------------------------------------------------------------- Statistic values: [1] => 0 [1,1] => 1 [1,2] => 0 [2,1] => 0 [1,1,1] => 2 [1,1,2] => 1 [1,2,1] => 0 [2,1,1] => 1 [1,1,3] => 1 [1,3,1] => 0 [3,1,1] => 1 [1,2,2] => 1 [2,1,2] => 0 [2,2,1] => 1 [1,2,3] => 0 [1,3,2] => 0 [2,1,3] => 0 [2,3,1] => 0 [3,1,2] => 0 [3,2,1] => 0 [1,1,1,1] => 3 [1,1,1,2] => 2 [1,1,2,1] => 1 [1,2,1,1] => 1 [2,1,1,1] => 2 [1,1,1,3] => 2 [1,1,3,1] => 1 [1,3,1,1] => 1 [3,1,1,1] => 2 [1,1,1,4] => 2 [1,1,4,1] => 1 [1,4,1,1] => 1 [4,1,1,1] => 2 [1,1,2,2] => 2 [1,2,1,2] => 0 [1,2,2,1] => 1 [2,1,1,2] => 1 [2,1,2,1] => 0 [2,2,1,1] => 2 [1,1,2,3] => 1 [1,1,3,2] => 1 [1,2,1,3] => 0 [1,2,3,1] => 0 [1,3,1,2] => 0 [1,3,2,1] => 0 [2,1,1,3] => 1 [2,1,3,1] => 0 [2,3,1,1] => 1 [3,1,1,2] => 1 [3,1,2,1] => 0 [3,2,1,1] => 1 [1,1,2,4] => 1 [1,1,4,2] => 1 [1,2,1,4] => 0 [1,2,4,1] => 0 [1,4,1,2] => 0 [1,4,2,1] => 0 [2,1,1,4] => 1 [2,1,4,1] => 0 [2,4,1,1] => 1 [4,1,1,2] => 1 [4,1,2,1] => 0 [4,2,1,1] => 1 [1,1,3,3] => 2 [1,3,1,3] => 0 [1,3,3,1] => 1 [3,1,1,3] => 1 [3,1,3,1] => 0 [3,3,1,1] => 2 [1,1,3,4] => 1 [1,1,4,3] => 1 [1,3,1,4] => 0 [1,3,4,1] => 0 [1,4,1,3] => 0 [1,4,3,1] => 0 [3,1,1,4] => 1 [3,1,4,1] => 0 [3,4,1,1] => 1 [4,1,1,3] => 1 [4,1,3,1] => 0 [4,3,1,1] => 1 [1,2,2,2] => 2 [2,1,2,2] => 1 [2,2,1,2] => 1 [2,2,2,1] => 2 [1,2,2,3] => 1 [1,2,3,2] => 0 [1,3,2,2] => 1 [2,1,2,3] => 0 [2,1,3,2] => 0 [2,2,1,3] => 1 [2,2,3,1] => 1 [2,3,1,2] => 0 [2,3,2,1] => 0 [3,1,2,2] => 1 [3,2,1,2] => 0 [3,2,2,1] => 1 [1,2,2,4] => 1 [1,2,4,2] => 0 [1,4,2,2] => 1 [2,1,2,4] => 0 [2,1,4,2] => 0 [2,2,1,4] => 1 [2,2,4,1] => 1 [2,4,1,2] => 0 [2,4,2,1] => 0 [4,1,2,2] => 1 [4,2,1,2] => 0 [4,2,2,1] => 1 [1,2,3,3] => 1 [1,3,2,3] => 0 [1,3,3,2] => 1 [2,1,3,3] => 1 [2,3,1,3] => 0 [2,3,3,1] => 1 [3,1,2,3] => 0 [3,1,3,2] => 0 [3,2,1,3] => 0 [3,2,3,1] => 0 [3,3,1,2] => 1 [3,3,2,1] => 1 [1,2,3,4] => 0 [1,2,4,3] => 0 [1,3,2,4] => 0 [1,3,4,2] => 0 [1,4,2,3] => 0 [1,4,3,2] => 0 [2,1,3,4] => 0 [2,1,4,3] => 0 [2,3,1,4] => 0 [2,3,4,1] => 0 [2,4,1,3] => 0 [2,4,3,1] => 0 [3,1,2,4] => 0 [3,1,4,2] => 0 [3,2,1,4] => 0 [3,2,4,1] => 0 [3,4,1,2] => 0 [3,4,2,1] => 0 [4,1,2,3] => 0 [4,1,3,2] => 0 [4,2,1,3] => 0 [4,2,3,1] => 0 [4,3,1,2] => 0 [4,3,2,1] => 0 [1,1,1,1,1] => 4 [1,1,1,1,2] => 3 [1,1,1,2,1] => 2 [1,1,2,1,1] => 2 [1,2,1,1,1] => 2 [2,1,1,1,1] => 3 [1,1,1,1,3] => 3 [1,1,1,3,1] => 2 [1,1,3,1,1] => 2 [1,3,1,1,1] => 2 [3,1,1,1,1] => 3 [1,1,1,1,4] => 3 [1,1,1,4,1] => 2 [1,1,4,1,1] => 2 [1,4,1,1,1] => 2 [4,1,1,1,1] => 3 [1,1,1,1,5] => 3 [1,1,1,5,1] => 2 [1,1,5,1,1] => 2 [1,5,1,1,1] => 2 [5,1,1,1,1] => 3 [1,1,1,2,2] => 3 [1,1,2,1,2] => 1 [1,1,2,2,1] => 2 [1,2,1,1,2] => 1 [1,2,1,2,1] => 0 [1,2,2,1,1] => 2 [2,1,1,1,2] => 2 [2,1,1,2,1] => 1 [2,1,2,1,1] => 1 [2,2,1,1,1] => 3 [1,1,1,2,3] => 2 [1,1,1,3,2] => 2 [1,1,2,1,3] => 1 [1,1,2,3,1] => 1 [1,1,3,1,2] => 1 [1,1,3,2,1] => 1 [1,2,1,1,3] => 1 [1,2,1,3,1] => 0 [1,2,3,1,1] => 1 [1,3,1,1,2] => 1 [1,3,1,2,1] => 0 [1,3,2,1,1] => 1 [2,1,1,1,3] => 2 [2,1,1,3,1] => 1 [2,1,3,1,1] => 1 [2,3,1,1,1] => 2 [3,1,1,1,2] => 2 [3,1,1,2,1] => 1 [3,1,2,1,1] => 1 [3,2,1,1,1] => 2 [1,1,1,2,4] => 2 [1,1,1,4,2] => 2 [1,1,2,1,4] => 1 [1,1,2,4,1] => 1 [1,1,4,1,2] => 1 [1,1,4,2,1] => 1 [1,2,1,1,4] => 1 [1,2,1,4,1] => 0 [1,2,4,1,1] => 1 [1,4,1,1,2] => 1 [1,4,1,2,1] => 0 [1,4,2,1,1] => 1 [2,1,1,1,4] => 2 [2,1,1,4,1] => 1 [2,1,4,1,1] => 1 [2,4,1,1,1] => 2 [4,1,1,1,2] => 2 [4,1,1,2,1] => 1 [4,1,2,1,1] => 1 [4,2,1,1,1] => 2 [1,1,1,2,5] => 2 [1,1,1,5,2] => 2 [1,1,2,1,5] => 1 [1,1,2,5,1] => 1 [1,1,5,1,2] => 1 [1,1,5,2,1] => 1 [1,2,1,1,5] => 1 [1,2,1,5,1] => 0 [1,2,5,1,1] => 1 [1,5,1,1,2] => 1 [1,5,1,2,1] => 0 [1,5,2,1,1] => 1 [2,1,1,1,5] => 2 [2,1,1,5,1] => 1 [2,1,5,1,1] => 1 [2,5,1,1,1] => 2 [5,1,1,1,2] => 2 [5,1,1,2,1] => 1 [5,1,2,1,1] => 1 [5,2,1,1,1] => 2 [1,1,1,3,3] => 3 [1,1,3,1,3] => 1 [1,1,3,3,1] => 2 [1,3,1,1,3] => 1 [1,3,1,3,1] => 0 [1,3,3,1,1] => 2 [3,1,1,1,3] => 2 [3,1,1,3,1] => 1 [3,1,3,1,1] => 1 [3,3,1,1,1] => 3 [1,1,1,3,4] => 2 [1,1,1,4,3] => 2 [1,1,3,1,4] => 1 [1,1,3,4,1] => 1 [1,1,4,1,3] => 1 [1,1,4,3,1] => 1 [1,3,1,1,4] => 1 [1,3,1,4,1] => 0 [1,3,4,1,1] => 1 [1,4,1,1,3] => 1 [1,4,1,3,1] => 0 [1,4,3,1,1] => 1 [3,1,1,1,4] => 2 [3,1,1,4,1] => 1 [3,1,4,1,1] => 1 [3,4,1,1,1] => 2 [4,1,1,1,3] => 2 [4,1,1,3,1] => 1 [4,1,3,1,1] => 1 [4,3,1,1,1] => 2 [1,1,1,3,5] => 2 [1,1,1,5,3] => 2 [1,1,3,1,5] => 1 [1,1,3,5,1] => 1 [1,1,5,1,3] => 1 [1,1,5,3,1] => 1 [1,3,1,1,5] => 1 [1,3,1,5,1] => 0 [1,3,5,1,1] => 1 [1,5,1,1,3] => 1 [1,5,1,3,1] => 0 [1,5,3,1,1] => 1 [3,1,1,1,5] => 2 [3,1,1,5,1] => 1 [3,1,5,1,1] => 1 [3,5,1,1,1] => 2 [5,1,1,1,3] => 2 [5,1,1,3,1] => 1 [5,1,3,1,1] => 1 [5,3,1,1,1] => 2 [1,1,1,4,4] => 3 [1,1,4,1,4] => 1 [1,1,4,4,1] => 2 [1,4,1,1,4] => 1 [1,4,1,4,1] => 0 [1,4,4,1,1] => 2 [4,1,1,1,4] => 2 [4,1,1,4,1] => 1 [4,1,4,1,1] => 1 [4,4,1,1,1] => 3 [1,1,1,4,5] => 2 [1,1,1,5,4] => 2 [1,1,4,1,5] => 1 [1,1,4,5,1] => 1 [1,1,5,1,4] => 1 [1,1,5,4,1] => 1 [1,4,1,1,5] => 1 [1,4,1,5,1] => 0 [1,4,5,1,1] => 1 [1,5,1,1,4] => 1 [1,5,1,4,1] => 0 [1,5,4,1,1] => 1 [4,1,1,1,5] => 2 [4,1,1,5,1] => 1 [4,1,5,1,1] => 1 [4,5,1,1,1] => 2 [5,1,1,1,4] => 2 [5,1,1,4,1] => 1 [5,1,4,1,1] => 1 [5,4,1,1,1] => 2 [1,1,2,2,2] => 3 [1,2,1,2,2] => 1 [1,2,2,1,2] => 1 [1,2,2,2,1] => 2 [2,1,1,2,2] => 2 [2,1,2,1,2] => 0 [2,1,2,2,1] => 1 [2,2,1,1,2] => 2 [2,2,1,2,1] => 1 [2,2,2,1,1] => 3 [1,1,2,2,3] => 2 [1,1,2,3,2] => 1 [1,1,3,2,2] => 2 [1,2,1,2,3] => 0 [1,2,1,3,2] => 0 [1,2,2,1,3] => 1 [1,2,2,3,1] => 1 [1,2,3,1,2] => 0 [1,2,3,2,1] => 0 [1,3,1,2,2] => 1 [1,3,2,1,2] => 0 [1,3,2,2,1] => 1 [2,1,1,2,3] => 1 [2,1,1,3,2] => 1 [2,1,2,1,3] => 0 [2,1,2,3,1] => 0 [2,1,3,1,2] => 0 [2,1,3,2,1] => 0 [2,2,1,1,3] => 2 [2,2,1,3,1] => 1 [2,2,3,1,1] => 2 [2,3,1,1,2] => 1 [2,3,1,2,1] => 0 [2,3,2,1,1] => 1 [3,1,1,2,2] => 2 [3,1,2,1,2] => 0 [3,1,2,2,1] => 1 [3,2,1,1,2] => 1 [3,2,1,2,1] => 0 [3,2,2,1,1] => 2 [1,1,2,2,4] => 2 [1,1,2,4,2] => 1 [1,1,4,2,2] => 2 [1,2,1,2,4] => 0 [1,2,1,4,2] => 0 [1,2,2,1,4] => 1 [1,2,2,4,1] => 1 [1,2,4,1,2] => 0 [1,2,4,2,1] => 0 [1,4,1,2,2] => 1 [1,4,2,1,2] => 0 [1,4,2,2,1] => 1 [2,1,1,2,4] => 1 [2,1,1,4,2] => 1 [2,1,2,1,4] => 0 [2,1,2,4,1] => 0 [2,1,4,1,2] => 0 [2,1,4,2,1] => 0 [2,2,1,1,4] => 2 [2,2,1,4,1] => 1 [2,2,4,1,1] => 2 [2,4,1,1,2] => 1 [2,4,1,2,1] => 0 [2,4,2,1,1] => 1 [4,1,1,2,2] => 2 [4,1,2,1,2] => 0 [4,1,2,2,1] => 1 [4,2,1,1,2] => 1 [4,2,1,2,1] => 0 [4,2,2,1,1] => 2 [1,1,2,2,5] => 2 [1,1,2,5,2] => 1 [1,1,5,2,2] => 2 [1,2,1,2,5] => 0 [1,2,1,5,2] => 0 [1,2,2,1,5] => 1 [1,2,2,5,1] => 1 [1,2,5,1,2] => 0 [1,2,5,2,1] => 0 [1,5,1,2,2] => 1 [1,5,2,1,2] => 0 [1,5,2,2,1] => 1 [2,1,1,2,5] => 1 [2,1,1,5,2] => 1 [2,1,2,1,5] => 0 [2,1,2,5,1] => 0 [2,1,5,1,2] => 0 [2,1,5,2,1] => 0 [2,2,1,1,5] => 2 [2,2,1,5,1] => 1 [2,2,5,1,1] => 2 [2,5,1,1,2] => 1 [2,5,1,2,1] => 0 [2,5,2,1,1] => 1 [5,1,1,2,2] => 2 [5,1,2,1,2] => 0 [5,1,2,2,1] => 1 [5,2,1,1,2] => 1 [5,2,1,2,1] => 0 [5,2,2,1,1] => 2 [1,1,2,3,3] => 2 [1,1,3,2,3] => 1 [1,1,3,3,2] => 2 [1,2,1,3,3] => 1 [1,2,3,1,3] => 0 [1,2,3,3,1] => 1 [1,3,1,2,3] => 0 [1,3,1,3,2] => 0 [1,3,2,1,3] => 0 [1,3,2,3,1] => 0 [1,3,3,1,2] => 1 [1,3,3,2,1] => 1 [2,1,1,3,3] => 2 [2,1,3,1,3] => 0 [2,1,3,3,1] => 1 [2,3,1,1,3] => 1 [2,3,1,3,1] => 0 [2,3,3,1,1] => 2 [3,1,1,2,3] => 1 [3,1,1,3,2] => 1 [3,1,2,1,3] => 0 [3,1,2,3,1] => 0 [3,1,3,1,2] => 0 [3,1,3,2,1] => 0 [3,2,1,1,3] => 1 [3,2,1,3,1] => 0 [3,2,3,1,1] => 1 [3,3,1,1,2] => 2 [3,3,1,2,1] => 1 [3,3,2,1,1] => 2 [1,1,2,3,4] => 1 [1,1,2,4,3] => 1 [1,1,3,2,4] => 1 [1,1,3,4,2] => 1 [1,1,4,2,3] => 1 [1,1,4,3,2] => 1 [1,2,1,3,4] => 0 [1,2,1,4,3] => 0 [1,2,3,1,4] => 0 [1,2,3,4,1] => 0 [1,2,4,1,3] => 0 [1,2,4,3,1] => 0 [1,3,1,2,4] => 0 [1,3,1,4,2] => 0 [1,3,2,1,4] => 0 [1,3,2,4,1] => 0 [1,3,4,1,2] => 0 [1,3,4,2,1] => 0 [1,4,1,2,3] => 0 [1,4,1,3,2] => 0 [1,4,2,1,3] => 0 [1,4,2,3,1] => 0 [1,4,3,1,2] => 0 [1,4,3,2,1] => 0 [2,1,1,3,4] => 1 [2,1,1,4,3] => 1 [2,1,3,1,4] => 0 [2,1,3,4,1] => 0 [2,1,4,1,3] => 0 [2,1,4,3,1] => 0 [2,3,1,1,4] => 1 [2,3,1,4,1] => 0 [2,3,4,1,1] => 1 [2,4,1,1,3] => 1 [2,4,1,3,1] => 0 [2,4,3,1,1] => 1 [3,1,1,2,4] => 1 [3,1,1,4,2] => 1 [3,1,2,1,4] => 0 [3,1,2,4,1] => 0 [3,1,4,1,2] => 0 [3,1,4,2,1] => 0 [3,2,1,1,4] => 1 [3,2,1,4,1] => 0 [3,2,4,1,1] => 1 [3,4,1,1,2] => 1 [3,4,1,2,1] => 0 [3,4,2,1,1] => 1 [4,1,1,2,3] => 1 [4,1,1,3,2] => 1 [4,1,2,1,3] => 0 [4,1,2,3,1] => 0 [4,1,3,1,2] => 0 [4,1,3,2,1] => 0 [4,2,1,1,3] => 1 [4,2,1,3,1] => 0 [4,2,3,1,1] => 1 [4,3,1,1,2] => 1 [4,3,1,2,1] => 0 [4,3,2,1,1] => 1 [1,1,2,3,5] => 1 [1,1,2,5,3] => 1 [1,1,3,2,5] => 1 [1,1,3,5,2] => 1 [1,1,5,2,3] => 1 [1,1,5,3,2] => 1 [1,2,1,3,5] => 0 [1,2,1,5,3] => 0 [1,2,3,1,5] => 0 [1,2,3,5,1] => 0 [1,2,5,1,3] => 0 [1,2,5,3,1] => 0 [1,3,1,2,5] => 0 [1,3,1,5,2] => 0 [1,3,2,1,5] => 0 [1,3,2,5,1] => 0 [1,3,5,1,2] => 0 [1,3,5,2,1] => 0 [1,5,1,2,3] => 0 [1,5,1,3,2] => 0 [1,5,2,1,3] => 0 [1,5,2,3,1] => 0 [1,5,3,1,2] => 0 [1,5,3,2,1] => 0 [2,1,1,3,5] => 1 [2,1,1,5,3] => 1 [2,1,3,1,5] => 0 [2,1,3,5,1] => 0 [2,1,5,1,3] => 0 [2,1,5,3,1] => 0 [2,3,1,1,5] => 1 [2,3,1,5,1] => 0 [2,3,5,1,1] => 1 [2,5,1,1,3] => 1 [2,5,1,3,1] => 0 [2,5,3,1,1] => 1 [3,1,1,2,5] => 1 [3,1,1,5,2] => 1 [3,1,2,1,5] => 0 [3,1,2,5,1] => 0 [3,1,5,1,2] => 0 [3,1,5,2,1] => 0 [3,2,1,1,5] => 1 [3,2,1,5,1] => 0 [3,2,5,1,1] => 1 [3,5,1,1,2] => 1 [3,5,1,2,1] => 0 [3,5,2,1,1] => 1 [5,1,1,2,3] => 1 [5,1,1,3,2] => 1 [5,1,2,1,3] => 0 [5,1,2,3,1] => 0 [5,1,3,1,2] => 0 [5,1,3,2,1] => 0 [5,2,1,1,3] => 1 [5,2,1,3,1] => 0 [5,2,3,1,1] => 1 [5,3,1,1,2] => 1 [5,3,1,2,1] => 0 [5,3,2,1,1] => 1 [1,1,2,4,4] => 2 [1,1,4,2,4] => 1 [1,1,4,4,2] => 2 [1,2,1,4,4] => 1 [1,2,4,1,4] => 0 [1,2,4,4,1] => 1 [1,4,1,2,4] => 0 [1,4,1,4,2] => 0 [1,4,2,1,4] => 0 [1,4,2,4,1] => 0 [1,4,4,1,2] => 1 [1,4,4,2,1] => 1 [2,1,1,4,4] => 2 [2,1,4,1,4] => 0 [2,1,4,4,1] => 1 [2,4,1,1,4] => 1 [2,4,1,4,1] => 0 [2,4,4,1,1] => 2 [4,1,1,2,4] => 1 [4,1,1,4,2] => 1 [4,1,2,1,4] => 0 [4,1,2,4,1] => 0 [4,1,4,1,2] => 0 [4,1,4,2,1] => 0 [4,2,1,1,4] => 1 [4,2,1,4,1] => 0 [4,2,4,1,1] => 1 [4,4,1,1,2] => 2 [4,4,1,2,1] => 1 [4,4,2,1,1] => 2 [1,1,2,4,5] => 1 [1,1,2,5,4] => 1 [1,1,4,2,5] => 1 [1,1,4,5,2] => 1 [1,1,5,2,4] => 1 [1,1,5,4,2] => 1 [1,2,1,4,5] => 0 [1,2,1,5,4] => 0 [1,2,4,1,5] => 0 [1,2,4,5,1] => 0 [1,2,5,1,4] => 0 [1,2,5,4,1] => 0 [1,4,1,2,5] => 0 [1,4,1,5,2] => 0 [1,4,2,1,5] => 0 [1,4,2,5,1] => 0 [1,4,5,1,2] => 0 [1,4,5,2,1] => 0 [1,5,1,2,4] => 0 [1,5,1,4,2] => 0 [1,5,2,1,4] => 0 [1,5,2,4,1] => 0 [1,5,4,1,2] => 0 [1,5,4,2,1] => 0 [2,1,1,4,5] => 1 [2,1,1,5,4] => 1 [2,1,4,1,5] => 0 [2,1,4,5,1] => 0 [2,1,5,1,4] => 0 [2,1,5,4,1] => 0 [2,4,1,1,5] => 1 [2,4,1,5,1] => 0 [2,4,5,1,1] => 1 [2,5,1,1,4] => 1 [2,5,1,4,1] => 0 [2,5,4,1,1] => 1 [4,1,1,2,5] => 1 [4,1,1,5,2] => 1 [4,1,2,1,5] => 0 [4,1,2,5,1] => 0 [4,1,5,1,2] => 0 [4,1,5,2,1] => 0 [4,2,1,1,5] => 1 [4,2,1,5,1] => 0 [4,2,5,1,1] => 1 [4,5,1,1,2] => 1 [4,5,1,2,1] => 0 [4,5,2,1,1] => 1 [5,1,1,2,4] => 1 [5,1,1,4,2] => 1 [5,1,2,1,4] => 0 [5,1,2,4,1] => 0 [5,1,4,1,2] => 0 [5,1,4,2,1] => 0 [5,2,1,1,4] => 1 [5,2,1,4,1] => 0 [5,2,4,1,1] => 1 [5,4,1,1,2] => 1 [5,4,1,2,1] => 0 [5,4,2,1,1] => 1 [1,1,3,3,3] => 3 [1,3,1,3,3] => 1 [1,3,3,1,3] => 1 [1,3,3,3,1] => 2 [3,1,1,3,3] => 2 [3,1,3,1,3] => 0 [3,1,3,3,1] => 1 [3,3,1,1,3] => 2 [3,3,1,3,1] => 1 [3,3,3,1,1] => 3 [1,1,3,3,4] => 2 [1,1,3,4,3] => 1 [1,1,4,3,3] => 2 [1,3,1,3,4] => 0 [1,3,1,4,3] => 0 [1,3,3,1,4] => 1 [1,3,3,4,1] => 1 [1,3,4,1,3] => 0 [1,3,4,3,1] => 0 [1,4,1,3,3] => 1 [1,4,3,1,3] => 0 [1,4,3,3,1] => 1 [3,1,1,3,4] => 1 [3,1,1,4,3] => 1 [3,1,3,1,4] => 0 [3,1,3,4,1] => 0 [3,1,4,1,3] => 0 [3,1,4,3,1] => 0 [3,3,1,1,4] => 2 [3,3,1,4,1] => 1 [3,3,4,1,1] => 2 [3,4,1,1,3] => 1 [3,4,1,3,1] => 0 [3,4,3,1,1] => 1 [4,1,1,3,3] => 2 [4,1,3,1,3] => 0 [4,1,3,3,1] => 1 [4,3,1,1,3] => 1 [4,3,1,3,1] => 0 [4,3,3,1,1] => 2 [1,1,3,3,5] => 2 [1,1,3,5,3] => 1 [1,1,5,3,3] => 2 [1,3,1,3,5] => 0 [1,3,1,5,3] => 0 [1,3,3,1,5] => 1 [1,3,3,5,1] => 1 [1,3,5,1,3] => 0 [1,3,5,3,1] => 0 [1,5,1,3,3] => 1 [1,5,3,1,3] => 0 [1,5,3,3,1] => 1 [3,1,1,3,5] => 1 [3,1,1,5,3] => 1 [3,1,3,1,5] => 0 [3,1,3,5,1] => 0 [3,1,5,1,3] => 0 [3,1,5,3,1] => 0 [3,3,1,1,5] => 2 [3,3,1,5,1] => 1 [3,3,5,1,1] => 2 [3,5,1,1,3] => 1 [3,5,1,3,1] => 0 [3,5,3,1,1] => 1 [5,1,1,3,3] => 2 [5,1,3,1,3] => 0 [5,1,3,3,1] => 1 [5,3,1,1,3] => 1 [5,3,1,3,1] => 0 [5,3,3,1,1] => 2 [1,1,3,4,4] => 2 [1,1,4,3,4] => 1 [1,1,4,4,3] => 2 [1,3,1,4,4] => 1 [1,3,4,1,4] => 0 [1,3,4,4,1] => 1 [1,4,1,3,4] => 0 [1,4,1,4,3] => 0 [1,4,3,1,4] => 0 [1,4,3,4,1] => 0 [1,4,4,1,3] => 1 [1,4,4,3,1] => 1 [3,1,1,4,4] => 2 [3,1,4,1,4] => 0 [3,1,4,4,1] => 1 [3,4,1,1,4] => 1 [3,4,1,4,1] => 0 [3,4,4,1,1] => 2 [4,1,1,3,4] => 1 [4,1,1,4,3] => 1 [4,1,3,1,4] => 0 [4,1,3,4,1] => 0 [4,1,4,1,3] => 0 [4,1,4,3,1] => 0 [4,3,1,1,4] => 1 [4,3,1,4,1] => 0 [4,3,4,1,1] => 1 [4,4,1,1,3] => 2 [4,4,1,3,1] => 1 [4,4,3,1,1] => 2 [1,1,3,4,5] => 1 [1,1,3,5,4] => 1 [1,1,4,3,5] => 1 [1,1,4,5,3] => 1 [1,1,5,3,4] => 1 [1,1,5,4,3] => 1 [1,3,1,4,5] => 0 [1,3,1,5,4] => 0 [1,3,4,1,5] => 0 [1,3,4,5,1] => 0 [1,3,5,1,4] => 0 [1,3,5,4,1] => 0 [1,4,1,3,5] => 0 [1,4,1,5,3] => 0 [1,4,3,1,5] => 0 [1,4,3,5,1] => 0 [1,4,5,1,3] => 0 [1,4,5,3,1] => 0 [1,5,1,3,4] => 0 [1,5,1,4,3] => 0 [1,5,3,1,4] => 0 [1,5,3,4,1] => 0 [1,5,4,1,3] => 0 [1,5,4,3,1] => 0 [3,1,1,4,5] => 1 [3,1,1,5,4] => 1 [3,1,4,1,5] => 0 [3,1,4,5,1] => 0 [3,1,5,1,4] => 0 [3,1,5,4,1] => 0 [3,4,1,1,5] => 1 [3,4,1,5,1] => 0 [3,4,5,1,1] => 1 [3,5,1,1,4] => 1 [3,5,1,4,1] => 0 [3,5,4,1,1] => 1 [4,1,1,3,5] => 1 [4,1,1,5,3] => 1 [4,1,3,1,5] => 0 [4,1,3,5,1] => 0 [4,1,5,1,3] => 0 [4,1,5,3,1] => 0 [4,3,1,1,5] => 1 [4,3,1,5,1] => 0 [4,3,5,1,1] => 1 [4,5,1,1,3] => 1 [4,5,1,3,1] => 0 [4,5,3,1,1] => 1 [5,1,1,3,4] => 1 [5,1,1,4,3] => 1 [5,1,3,1,4] => 0 [5,1,3,4,1] => 0 [5,1,4,1,3] => 0 [5,1,4,3,1] => 0 [5,3,1,1,4] => 1 [5,3,1,4,1] => 0 [5,3,4,1,1] => 1 [5,4,1,1,3] => 1 [5,4,1,3,1] => 0 [5,4,3,1,1] => 1 [1,2,2,2,2] => 3 [2,1,2,2,2] => 2 [2,2,1,2,2] => 2 [2,2,2,1,2] => 2 [2,2,2,2,1] => 3 [1,2,2,2,3] => 2 [1,2,2,3,2] => 1 [1,2,3,2,2] => 1 [1,3,2,2,2] => 2 [2,1,2,2,3] => 1 [2,1,2,3,2] => 0 [2,1,3,2,2] => 1 [2,2,1,2,3] => 1 [2,2,1,3,2] => 1 [2,2,2,1,3] => 2 [2,2,2,3,1] => 2 [2,2,3,1,2] => 1 [2,2,3,2,1] => 1 [2,3,1,2,2] => 1 [2,3,2,1,2] => 0 [2,3,2,2,1] => 1 [3,1,2,2,2] => 2 [3,2,1,2,2] => 1 [3,2,2,1,2] => 1 [3,2,2,2,1] => 2 [1,2,2,2,4] => 2 [1,2,2,4,2] => 1 [1,2,4,2,2] => 1 [1,4,2,2,2] => 2 [2,1,2,2,4] => 1 [2,1,2,4,2] => 0 [2,1,4,2,2] => 1 [2,2,1,2,4] => 1 [2,2,1,4,2] => 1 [2,2,2,1,4] => 2 [2,2,2,4,1] => 2 [2,2,4,1,2] => 1 [2,2,4,2,1] => 1 [2,4,1,2,2] => 1 [2,4,2,1,2] => 0 [2,4,2,2,1] => 1 [4,1,2,2,2] => 2 [4,2,1,2,2] => 1 [4,2,2,1,2] => 1 [4,2,2,2,1] => 2 [1,2,2,2,5] => 2 [1,2,2,5,2] => 1 [1,2,5,2,2] => 1 [1,5,2,2,2] => 2 [2,1,2,2,5] => 1 [2,1,2,5,2] => 0 [2,1,5,2,2] => 1 [2,2,1,2,5] => 1 [2,2,1,5,2] => 1 [2,2,2,1,5] => 2 [2,2,2,5,1] => 2 [2,2,5,1,2] => 1 [2,2,5,2,1] => 1 [2,5,1,2,2] => 1 [2,5,2,1,2] => 0 [2,5,2,2,1] => 1 [5,1,2,2,2] => 2 [5,2,1,2,2] => 1 [5,2,2,1,2] => 1 [5,2,2,2,1] => 2 [1,2,2,3,3] => 2 [1,2,3,2,3] => 0 [1,2,3,3,2] => 1 [1,3,2,2,3] => 1 [1,3,2,3,2] => 0 [1,3,3,2,2] => 2 [2,1,2,3,3] => 1 [2,1,3,2,3] => 0 [2,1,3,3,2] => 1 [2,2,1,3,3] => 2 [2,2,3,1,3] => 1 [2,2,3,3,1] => 2 [2,3,1,2,3] => 0 [2,3,1,3,2] => 0 [2,3,2,1,3] => 0 [2,3,2,3,1] => 0 [2,3,3,1,2] => 1 [2,3,3,2,1] => 1 [3,1,2,2,3] => 1 [3,1,2,3,2] => 0 [3,1,3,2,2] => 1 [3,2,1,2,3] => 0 [3,2,1,3,2] => 0 [3,2,2,1,3] => 1 [3,2,2,3,1] => 1 [3,2,3,1,2] => 0 [3,2,3,2,1] => 0 [3,3,1,2,2] => 2 [3,3,2,1,2] => 1 [3,3,2,2,1] => 2 [1,2,2,3,4] => 1 [1,2,2,4,3] => 1 [1,2,3,2,4] => 0 [1,2,3,4,2] => 0 [1,2,4,2,3] => 0 [1,2,4,3,2] => 0 [1,3,2,2,4] => 1 [1,3,2,4,2] => 0 [1,3,4,2,2] => 1 [1,4,2,2,3] => 1 [1,4,2,3,2] => 0 [1,4,3,2,2] => 1 [2,1,2,3,4] => 0 [2,1,2,4,3] => 0 [2,1,3,2,4] => 0 [2,1,3,4,2] => 0 [2,1,4,2,3] => 0 [2,1,4,3,2] => 0 [2,2,1,3,4] => 1 [2,2,1,4,3] => 1 [2,2,3,1,4] => 1 [2,2,3,4,1] => 1 [2,2,4,1,3] => 1 [2,2,4,3,1] => 1 [2,3,1,2,4] => 0 [2,3,1,4,2] => 0 [2,3,2,1,4] => 0 [2,3,2,4,1] => 0 [2,3,4,1,2] => 0 [2,3,4,2,1] => 0 [2,4,1,2,3] => 0 [2,4,1,3,2] => 0 [2,4,2,1,3] => 0 [2,4,2,3,1] => 0 [2,4,3,1,2] => 0 [2,4,3,2,1] => 0 [3,1,2,2,4] => 1 [3,1,2,4,2] => 0 [3,1,4,2,2] => 1 [3,2,1,2,4] => 0 [3,2,1,4,2] => 0 [3,2,2,1,4] => 1 [3,2,2,4,1] => 1 [3,2,4,1,2] => 0 [3,2,4,2,1] => 0 [3,4,1,2,2] => 1 [3,4,2,1,2] => 0 [3,4,2,2,1] => 1 [4,1,2,2,3] => 1 [4,1,2,3,2] => 0 [4,1,3,2,2] => 1 [4,2,1,2,3] => 0 [4,2,1,3,2] => 0 [4,2,2,1,3] => 1 [4,2,2,3,1] => 1 [4,2,3,1,2] => 0 [4,2,3,2,1] => 0 [4,3,1,2,2] => 1 [4,3,2,1,2] => 0 [4,3,2,2,1] => 1 [1,2,2,3,5] => 1 [1,2,2,5,3] => 1 [1,2,3,2,5] => 0 [1,2,3,5,2] => 0 [1,2,5,2,3] => 0 [1,2,5,3,2] => 0 [1,3,2,2,5] => 1 [1,3,2,5,2] => 0 [1,3,5,2,2] => 1 [1,5,2,2,3] => 1 [1,5,2,3,2] => 0 [1,5,3,2,2] => 1 [2,1,2,3,5] => 0 [2,1,2,5,3] => 0 [2,1,3,2,5] => 0 [2,1,3,5,2] => 0 [2,1,5,2,3] => 0 [2,1,5,3,2] => 0 [2,2,1,3,5] => 1 [2,2,1,5,3] => 1 [2,2,3,1,5] => 1 [2,2,3,5,1] => 1 [2,2,5,1,3] => 1 [2,2,5,3,1] => 1 [2,3,1,2,5] => 0 [2,3,1,5,2] => 0 [2,3,2,1,5] => 0 [2,3,2,5,1] => 0 [2,3,5,1,2] => 0 [2,3,5,2,1] => 0 [2,5,1,2,3] => 0 [2,5,1,3,2] => 0 [2,5,2,1,3] => 0 [2,5,2,3,1] => 0 [2,5,3,1,2] => 0 [2,5,3,2,1] => 0 [3,1,2,2,5] => 1 [3,1,2,5,2] => 0 [3,1,5,2,2] => 1 [3,2,1,2,5] => 0 [3,2,1,5,2] => 0 [3,2,2,1,5] => 1 [3,2,2,5,1] => 1 [3,2,5,1,2] => 0 [3,2,5,2,1] => 0 [3,5,1,2,2] => 1 [3,5,2,1,2] => 0 [3,5,2,2,1] => 1 [5,1,2,2,3] => 1 [5,1,2,3,2] => 0 [5,1,3,2,2] => 1 [5,2,1,2,3] => 0 [5,2,1,3,2] => 0 [5,2,2,1,3] => 1 [5,2,2,3,1] => 1 [5,2,3,1,2] => 0 [5,2,3,2,1] => 0 [5,3,1,2,2] => 1 [5,3,2,1,2] => 0 [5,3,2,2,1] => 1 [1,2,2,4,4] => 2 [1,2,4,2,4] => 0 [1,2,4,4,2] => 1 [1,4,2,2,4] => 1 [1,4,2,4,2] => 0 [1,4,4,2,2] => 2 [2,1,2,4,4] => 1 [2,1,4,2,4] => 0 [2,1,4,4,2] => 1 [2,2,1,4,4] => 2 [2,2,4,1,4] => 1 [2,2,4,4,1] => 2 [2,4,1,2,4] => 0 [2,4,1,4,2] => 0 [2,4,2,1,4] => 0 [2,4,2,4,1] => 0 [2,4,4,1,2] => 1 [2,4,4,2,1] => 1 [4,1,2,2,4] => 1 [4,1,2,4,2] => 0 [4,1,4,2,2] => 1 [4,2,1,2,4] => 0 [4,2,1,4,2] => 0 [4,2,2,1,4] => 1 [4,2,2,4,1] => 1 [4,2,4,1,2] => 0 [4,2,4,2,1] => 0 [4,4,1,2,2] => 2 [4,4,2,1,2] => 1 [4,4,2,2,1] => 2 [1,2,2,4,5] => 1 [1,2,2,5,4] => 1 [1,2,4,2,5] => 0 [1,2,4,5,2] => 0 [1,2,5,2,4] => 0 [1,2,5,4,2] => 0 [1,4,2,2,5] => 1 [1,4,2,5,2] => 0 [1,4,5,2,2] => 1 [1,5,2,2,4] => 1 [1,5,2,4,2] => 0 [1,5,4,2,2] => 1 [2,1,2,4,5] => 0 [2,1,2,5,4] => 0 [2,1,4,2,5] => 0 [2,1,4,5,2] => 0 [2,1,5,2,4] => 0 [2,1,5,4,2] => 0 [2,2,1,4,5] => 1 [2,2,1,5,4] => 1 [2,2,4,1,5] => 1 [2,2,4,5,1] => 1 [2,2,5,1,4] => 1 [2,2,5,4,1] => 1 [2,4,1,2,5] => 0 [2,4,1,5,2] => 0 [2,4,2,1,5] => 0 [2,4,2,5,1] => 0 [2,4,5,1,2] => 0 [2,4,5,2,1] => 0 [2,5,1,2,4] => 0 [2,5,1,4,2] => 0 [2,5,2,1,4] => 0 [2,5,2,4,1] => 0 [2,5,4,1,2] => 0 [2,5,4,2,1] => 0 [4,1,2,2,5] => 1 [4,1,2,5,2] => 0 [4,1,5,2,2] => 1 [4,2,1,2,5] => 0 [4,2,1,5,2] => 0 [4,2,2,1,5] => 1 [4,2,2,5,1] => 1 [4,2,5,1,2] => 0 [4,2,5,2,1] => 0 [4,5,1,2,2] => 1 [4,5,2,1,2] => 0 [4,5,2,2,1] => 1 [5,1,2,2,4] => 1 [5,1,2,4,2] => 0 [5,1,4,2,2] => 1 [5,2,1,2,4] => 0 [5,2,1,4,2] => 0 [5,2,2,1,4] => 1 [5,2,2,4,1] => 1 [5,2,4,1,2] => 0 [5,2,4,2,1] => 0 [5,4,1,2,2] => 1 [5,4,2,1,2] => 0 [5,4,2,2,1] => 1 [1,2,3,3,3] => 2 [1,3,2,3,3] => 1 [1,3,3,2,3] => 1 [1,3,3,3,2] => 2 [2,1,3,3,3] => 2 [2,3,1,3,3] => 1 [2,3,3,1,3] => 1 [2,3,3,3,1] => 2 [3,1,2,3,3] => 1 [3,1,3,2,3] => 0 [3,1,3,3,2] => 1 [3,2,1,3,3] => 1 [3,2,3,1,3] => 0 [3,2,3,3,1] => 1 [3,3,1,2,3] => 1 [3,3,1,3,2] => 1 [3,3,2,1,3] => 1 [3,3,2,3,1] => 1 [3,3,3,1,2] => 2 [3,3,3,2,1] => 2 [1,2,3,3,4] => 1 [1,2,3,4,3] => 0 [1,2,4,3,3] => 1 [1,3,2,3,4] => 0 [1,3,2,4,3] => 0 [1,3,3,2,4] => 1 [1,3,3,4,2] => 1 [1,3,4,2,3] => 0 [1,3,4,3,2] => 0 [1,4,2,3,3] => 1 [1,4,3,2,3] => 0 [1,4,3,3,2] => 1 [2,1,3,3,4] => 1 [2,1,3,4,3] => 0 [2,1,4,3,3] => 1 [2,3,1,3,4] => 0 [2,3,1,4,3] => 0 [2,3,3,1,4] => 1 [2,3,3,4,1] => 1 [2,3,4,1,3] => 0 [2,3,4,3,1] => 0 [2,4,1,3,3] => 1 [2,4,3,1,3] => 0 [2,4,3,3,1] => 1 [3,1,2,3,4] => 0 [3,1,2,4,3] => 0 [3,1,3,2,4] => 0 [3,1,3,4,2] => 0 [3,1,4,2,3] => 0 [3,1,4,3,2] => 0 [3,2,1,3,4] => 0 [3,2,1,4,3] => 0 [3,2,3,1,4] => 0 [3,2,3,4,1] => 0 [3,2,4,1,3] => 0 [3,2,4,3,1] => 0 [3,3,1,2,4] => 1 [3,3,1,4,2] => 1 [3,3,2,1,4] => 1 [3,3,2,4,1] => 1 [3,3,4,1,2] => 1 [3,3,4,2,1] => 1 [3,4,1,2,3] => 0 [3,4,1,3,2] => 0 [3,4,2,1,3] => 0 [3,4,2,3,1] => 0 [3,4,3,1,2] => 0 [3,4,3,2,1] => 0 [4,1,2,3,3] => 1 [4,1,3,2,3] => 0 [4,1,3,3,2] => 1 [4,2,1,3,3] => 1 [4,2,3,1,3] => 0 [4,2,3,3,1] => 1 [4,3,1,2,3] => 0 [4,3,1,3,2] => 0 [4,3,2,1,3] => 0 [4,3,2,3,1] => 0 [1,3,2,5,3] => 0 [1,3,3,2,5] => 1 [1,5,2,3,3] => 1 [2,1,5,3,3] => 1 [2,3,3,5,1] => 1 [3,1,3,2,5] => 0 [3,5,2,3,1] => 0 [5,1,2,3,3] => 1 [5,2,3,1,3] => 0 [5,3,3,2,1] => 1 [1,4,2,4,3] => 0 [1,4,3,4,2] => 0 [2,1,4,3,4] => 0 [2,1,4,4,3] => 1 [2,3,4,1,4] => 0 [2,3,4,4,1] => 1 [2,4,1,4,3] => 0 [2,4,3,1,4] => 0 [2,4,3,4,1] => 0 [3,4,2,1,4] => 0 [3,4,2,4,1] => 0 [4,1,2,4,3] => 0 [4,1,3,4,2] => 0 [4,2,1,3,4] => 0 [4,3,1,2,4] => 0 [1,2,3,4,5] => 0 [1,2,3,5,4] => 0 [1,2,4,3,5] => 0 [1,2,4,5,3] => 0 [1,2,5,3,4] => 0 [1,2,5,4,3] => 0 [1,3,2,4,5] => 0 [1,3,2,5,4] => 0 [1,3,4,2,5] => 0 [1,3,4,5,2] => 0 [1,3,5,2,4] => 0 [1,3,5,4,2] => 0 [1,4,2,3,5] => 0 [1,4,2,5,3] => 0 [1,4,3,2,5] => 0 [1,4,3,5,2] => 0 [1,4,5,2,3] => 0 [1,4,5,3,2] => 0 [1,5,2,3,4] => 0 [1,5,2,4,3] => 0 [1,5,3,2,4] => 0 [1,5,3,4,2] => 0 [1,5,4,2,3] => 0 [1,5,4,3,2] => 0 [2,1,3,4,5] => 0 [2,1,3,5,4] => 0 [2,1,4,3,5] => 0 [2,1,4,5,3] => 0 [2,1,5,3,4] => 0 [2,1,5,4,3] => 0 [2,3,1,4,5] => 0 [2,3,1,5,4] => 0 [2,3,4,1,5] => 0 [2,3,4,5,1] => 0 [2,3,5,1,4] => 0 [2,3,5,4,1] => 0 [2,4,1,3,5] => 0 [2,4,1,5,3] => 0 [2,4,3,1,5] => 0 [2,4,3,5,1] => 0 [2,4,5,1,3] => 0 [2,4,5,3,1] => 0 [2,5,1,3,4] => 0 [2,5,1,4,3] => 0 [2,5,3,1,4] => 0 [2,5,3,4,1] => 0 [2,5,4,1,3] => 0 [2,5,4,3,1] => 0 [3,1,2,4,5] => 0 [3,1,2,5,4] => 0 [3,1,4,2,5] => 0 [3,1,4,5,2] => 0 [3,1,5,2,4] => 0 [3,1,5,4,2] => 0 [3,2,1,4,5] => 0 [3,2,1,5,4] => 0 [3,2,4,1,5] => 0 [3,2,4,5,1] => 0 [3,2,5,1,4] => 0 [3,2,5,4,1] => 0 [3,4,1,2,5] => 0 [3,4,1,5,2] => 0 [3,4,2,1,5] => 0 [3,4,2,5,1] => 0 [3,4,5,1,2] => 0 [3,4,5,2,1] => 0 [3,5,1,2,4] => 0 [3,5,1,4,2] => 0 [3,5,2,1,4] => 0 [3,5,2,4,1] => 0 [3,5,4,1,2] => 0 [3,5,4,2,1] => 0 [4,1,2,3,5] => 0 [4,1,2,5,3] => 0 [4,1,3,2,5] => 0 [4,1,3,5,2] => 0 [4,1,5,2,3] => 0 [4,1,5,3,2] => 0 [4,2,1,3,5] => 0 [4,2,1,5,3] => 0 [4,2,3,1,5] => 0 [4,2,3,5,1] => 0 [4,2,5,1,3] => 0 [4,2,5,3,1] => 0 [4,3,1,2,5] => 0 [4,3,1,5,2] => 0 [4,3,2,1,5] => 0 [4,3,2,5,1] => 0 [4,3,5,1,2] => 0 [4,3,5,2,1] => 0 [4,5,1,2,3] => 0 [4,5,1,3,2] => 0 [4,5,2,1,3] => 0 [4,5,2,3,1] => 0 [4,5,3,1,2] => 0 [4,5,3,2,1] => 0 [5,1,2,3,4] => 0 [5,1,2,4,3] => 0 [5,1,3,2,4] => 0 [5,1,3,4,2] => 0 [5,1,4,2,3] => 0 [5,1,4,3,2] => 0 [5,2,1,3,4] => 0 [5,2,1,4,3] => 0 [5,2,3,1,4] => 0 [5,2,3,4,1] => 0 [5,2,4,1,3] => 0 [5,2,4,3,1] => 0 [5,3,1,2,4] => 0 [5,3,1,4,2] => 0 [5,3,2,1,4] => 0 [5,3,2,4,1] => 0 [5,3,4,1,2] => 0 [5,3,4,2,1] => 0 [5,4,1,2,3] => 0 [5,4,1,3,2] => 0 [5,4,2,1,3] => 0 [5,4,2,3,1] => 0 [5,4,3,1,2] => 0 [5,4,3,2,1] => 0 [1,2,3,4,5,6] => 0 [1,2,3,4,6,5] => 0 [1,2,3,5,4,6] => 0 [1,2,3,5,6,4] => 0 [1,2,3,6,4,5] => 0 [1,2,3,6,5,4] => 0 [1,2,4,3,5,6] => 0 [1,2,4,3,6,5] => 0 [1,2,4,5,3,6] => 0 [1,2,4,5,6,3] => 0 [1,2,4,6,3,5] => 0 [1,2,4,6,5,3] => 0 [1,2,5,3,4,6] => 0 [1,2,5,3,6,4] => 0 [1,2,5,4,3,6] => 0 [1,2,5,4,6,3] => 0 [1,2,5,6,3,4] => 0 [1,2,5,6,4,3] => 0 [1,2,6,3,4,5] => 0 [1,2,6,4,5,3] => 0 [1,2,6,5,4,3] => 0 [1,3,2,4,5,6] => 0 [1,3,2,4,6,5] => 0 [1,3,2,5,4,6] => 0 [1,3,2,5,6,4] => 0 [1,3,2,6,4,5] => 0 [1,3,2,6,5,4] => 0 [1,3,4,2,5,6] => 0 [1,3,4,2,6,5] => 0 [1,3,4,5,2,6] => 0 [1,3,4,5,6,2] => 0 [1,3,4,6,2,5] => 0 [1,3,4,6,5,2] => 0 [1,3,5,2,4,6] => 0 [1,3,5,2,6,4] => 0 [1,3,5,4,2,6] => 0 [1,3,5,4,6,2] => 0 [1,3,5,6,2,4] => 0 [1,3,5,6,4,2] => 0 [1,3,6,2,4,5] => 0 [1,3,6,4,5,2] => 0 [1,3,6,5,4,2] => 0 [1,4,2,3,5,6] => 0 [1,4,2,3,6,5] => 0 [1,4,2,5,3,6] => 0 [1,4,2,5,6,3] => 0 [1,4,2,6,3,5] => 0 [1,4,3,2,5,6] => 0 [1,4,3,2,6,5] => 0 [1,4,3,5,2,6] => 0 [1,4,3,5,6,2] => 0 [1,4,3,6,5,2] => 0 [1,4,5,2,3,6] => 0 [1,4,5,2,6,3] => 0 [1,4,5,3,2,6] => 0 [1,4,5,3,6,2] => 0 [1,4,5,6,2,3] => 0 [1,4,5,6,3,2] => 0 [1,4,6,2,3,5] => 0 [1,4,6,5,3,2] => 0 [1,5,2,3,4,6] => 0 [1,5,2,3,6,4] => 0 [1,5,2,6,3,4] => 0 [1,5,3,4,2,6] => 0 [1,5,3,4,6,2] => 0 [1,5,4,3,2,6] => 0 [1,5,4,3,6,2] => 0 [1,5,4,6,3,2] => 0 [1,5,6,2,3,4] => 0 [1,5,6,4,3,2] => 0 [1,6,2,3,4,5] => 0 [1,6,3,4,5,2] => 0 [1,6,3,5,4,2] => 0 [1,6,4,3,5,2] => 0 [1,6,4,5,3,2] => 0 [1,6,5,4,3,2] => 0 [2,1,3,4,5,6] => 0 [2,1,3,4,6,5] => 0 [2,1,3,5,4,6] => 0 [2,1,3,5,6,4] => 0 [2,1,3,6,4,5] => 0 [2,1,3,6,5,4] => 0 [2,1,4,3,5,6] => 0 [2,1,4,3,6,5] => 0 [2,1,4,5,3,6] => 0 [2,1,4,5,6,3] => 0 [2,1,4,6,3,5] => 0 [2,1,4,6,5,3] => 0 [2,1,5,3,4,6] => 0 [2,1,5,3,6,4] => 0 [2,1,5,4,3,6] => 0 [2,1,5,4,6,3] => 0 [2,1,5,6,3,4] => 0 [2,1,5,6,4,3] => 0 [2,1,6,3,4,5] => 0 [2,1,6,4,5,3] => 0 [2,1,6,5,4,3] => 0 [2,3,1,4,5,6] => 0 [2,3,1,4,6,5] => 0 [2,3,1,5,4,6] => 0 [2,3,1,5,6,4] => 0 [2,3,1,6,4,5] => 0 [2,3,1,6,5,4] => 0 [2,3,4,1,5,6] => 0 [2,3,4,1,6,5] => 0 [2,3,4,5,1,6] => 0 [2,3,4,5,6,1] => 0 [2,3,4,6,1,5] => 0 [2,3,4,6,5,1] => 0 [2,3,5,1,4,6] => 0 [2,3,5,1,6,4] => 0 [2,3,5,4,1,6] => 0 [2,3,5,4,6,1] => 0 [2,3,5,6,1,4] => 0 [2,3,5,6,4,1] => 0 [2,3,6,1,4,5] => 0 [2,3,6,4,5,1] => 0 [2,3,6,5,1,4] => 0 [2,3,6,5,4,1] => 0 [2,4,1,3,5,6] => 0 [2,4,1,3,6,5] => 0 [2,4,1,5,3,6] => 0 [2,4,1,5,6,3] => 0 [2,4,1,6,3,5] => 0 [2,4,3,1,5,6] => 0 [2,4,3,1,6,5] => 0 [2,4,3,5,1,6] => 0 [2,4,3,5,6,1] => 0 [2,4,3,6,5,1] => 0 [2,4,5,1,3,6] => 0 [2,4,5,1,6,3] => 0 [2,4,5,3,1,6] => 0 [2,4,5,3,6,1] => 0 [2,4,5,6,1,3] => 0 [2,4,5,6,3,1] => 0 [2,4,6,1,3,5] => 0 [2,4,6,5,3,1] => 0 [2,5,1,3,4,6] => 0 [2,5,1,3,6,4] => 0 [2,5,1,6,3,4] => 0 [2,5,3,4,1,6] => 0 [2,5,3,4,6,1] => 0 [2,5,4,1,6,3] => 0 [2,5,4,3,1,6] => 0 [2,5,4,3,6,1] => 0 [2,5,4,6,3,1] => 0 [2,5,6,1,3,4] => 0 [2,5,6,4,3,1] => 0 [2,6,1,3,4,5] => 0 [2,6,1,5,3,4] => 0 [2,6,3,4,5,1] => 0 [2,6,3,5,4,1] => 0 [2,6,4,1,3,5] => 0 [2,6,4,3,5,1] => 0 [2,6,4,5,1,3] => 0 [2,6,4,5,3,1] => 0 [2,6,5,1,3,4] => 0 [2,6,5,4,3,1] => 0 [3,1,2,4,5,6] => 0 [3,1,2,4,6,5] => 0 [3,1,2,5,4,6] => 0 [3,1,2,5,6,4] => 0 [3,1,2,6,4,5] => 0 [3,1,4,2,5,6] => 0 [3,1,4,2,6,5] => 0 [3,1,4,5,2,6] => 0 [3,1,4,5,6,2] => 0 [3,1,4,6,2,5] => 0 [3,1,5,2,4,6] => 0 [3,1,5,2,6,4] => 0 [3,1,5,6,2,4] => 0 [3,1,6,2,4,5] => 0 [3,1,6,5,2,4] => 0 [3,2,1,4,5,6] => 0 [3,2,1,4,6,5] => 0 [3,2,1,5,4,6] => 0 [3,2,1,5,6,4] => 0 [3,2,1,6,5,4] => 0 [3,2,4,1,5,6] => 0 [3,2,4,1,6,5] => 0 [3,2,4,5,1,6] => 0 [3,2,4,5,6,1] => 0 [3,2,4,6,5,1] => 0 [3,2,5,1,4,6] => 0 [3,2,5,4,1,6] => 0 [3,2,5,4,6,1] => 0 [3,2,5,6,4,1] => 0 [3,2,6,1,4,5] => 0 [3,2,6,4,5,1] => 0 [3,2,6,5,4,1] => 0 [3,4,1,2,5,6] => 0 [3,4,1,2,6,5] => 0 [3,4,1,5,2,6] => 0 [3,4,1,5,6,2] => 0 [3,4,1,6,2,5] => 0 [3,4,2,1,5,6] => 0 [3,4,2,1,6,5] => 0 [3,4,2,5,1,6] => 0 [3,4,2,5,6,1] => 0 [3,4,2,6,5,1] => 0 [3,4,5,1,2,6] => 0 [3,4,5,1,6,2] => 0 [3,4,5,2,1,6] => 0 [3,4,5,2,6,1] => 0 [3,4,5,6,1,2] => 0 [3,4,5,6,2,1] => 0 [3,4,6,1,2,5] => 0 [3,4,6,5,2,1] => 0 [3,5,1,2,4,6] => 0 [3,5,1,2,6,4] => 0 [3,5,1,6,2,4] => 0 [3,5,1,6,4,2] => 0 [3,5,2,6,1,4] => 0 [3,5,2,6,4,1] => 0 [3,5,4,2,1,6] => 0 [3,5,4,2,6,1] => 0 [3,5,4,6,2,1] => 0 [3,5,6,1,2,4] => 0 [3,5,6,4,2,1] => 0 [3,6,1,2,4,5] => 0 [3,6,1,5,4,2] => 0 [3,6,2,5,1,4] => 0 [3,6,5,4,2,1] => 0 [4,1,2,3,5,6] => 0 [4,1,2,3,6,5] => 0 [4,1,2,5,3,6] => 0 [4,1,2,5,6,3] => 0 [4,1,2,6,3,5] => 0 [4,1,5,2,3,6] => 0 [4,1,5,2,6,3] => 0 [4,1,5,6,2,3] => 0 [4,1,6,2,3,5] => 0 [4,2,1,3,5,6] => 0 [4,2,3,1,5,6] => 0 [4,2,3,1,6,5] => 0 [4,2,3,5,1,6] => 0 [4,2,3,5,6,1] => 0 [4,2,3,6,5,1] => 0 [4,2,5,1,3,6] => 0 [4,2,6,1,3,5] => 0 [4,3,1,2,5,6] => 0 [4,3,1,5,6,2] => 0 [4,3,1,6,2,5] => 0 [4,3,2,1,5,6] => 0 [4,3,2,1,6,5] => 0 [4,3,2,5,1,6] => 0 [4,3,2,5,6,1] => 0 [4,3,2,6,1,5] => 0 [4,3,2,6,5,1] => 0 [4,3,5,1,2,6] => 0 [4,3,5,2,1,6] => 0 [4,3,5,2,6,1] => 0 [4,3,5,6,1,2] => 0 [4,3,5,6,2,1] => 0 [4,3,6,1,2,5] => 0 [4,3,6,5,2,1] => 0 [4,5,1,2,3,6] => 0 [4,5,1,2,6,3] => 0 [4,5,1,6,2,3] => 0 [4,5,2,1,3,6] => 0 [4,5,2,3,1,6] => 0 [4,5,2,3,6,1] => 0 [4,5,3,1,2,6] => 0 [4,5,3,2,1,6] => 0 [4,5,3,2,6,1] => 0 [4,5,3,6,1,2] => 0 [4,5,3,6,2,1] => 0 [4,5,6,1,2,3] => 0 [4,5,6,1,3,2] => 0 [4,5,6,2,1,3] => 0 [4,5,6,2,3,1] => 0 [4,5,6,3,1,2] => 0 [4,5,6,3,2,1] => 0 [4,6,1,2,3,5] => 0 [4,6,2,5,1,3] => 0 [4,6,3,5,1,2] => 0 [4,6,5,1,3,2] => 0 [4,6,5,3,2,1] => 0 [5,1,2,3,4,6] => 0 [5,1,2,3,6,4] => 0 [5,1,2,6,3,4] => 0 [5,1,4,2,6,3] => 0 [5,1,6,2,3,4] => 0 [5,2,1,3,4,6] => 0 [5,2,3,1,4,6] => 0 [5,2,3,4,1,6] => 0 [5,2,3,4,6,1] => 0 [5,2,4,1,3,6] => 0 [5,2,4,3,1,6] => 0 [5,2,4,3,6,1] => 0 [5,2,6,1,3,4] => 0 [5,3,1,2,4,6] => 0 [5,3,1,2,6,4] => 0 [5,3,2,1,4,6] => 0 [5,3,2,4,1,6] => 0 [5,3,2,4,6,1] => 0 [5,3,2,6,1,4] => 0 [5,3,4,1,2,6] => 0 [5,3,4,1,6,2] => 0 [5,3,4,2,1,6] => 0 [5,3,4,2,6,1] => 0 [5,3,4,6,1,2] => 0 [5,3,4,6,2,1] => 0 [5,3,6,1,2,4] => 0 [5,4,1,2,3,6] => 0 [5,4,1,2,6,3] => 0 [5,4,2,1,3,6] => 0 [5,4,2,3,1,6] => 0 [5,4,2,3,6,1] => 0 [5,4,2,6,1,3] => 0 [5,4,3,1,2,6] => 0 [5,4,3,2,1,6] => 0 [5,4,3,2,6,1] => 0 [5,4,3,6,1,2] => 0 [5,4,3,6,2,1] => 0 [5,4,6,1,2,3] => 0 [5,4,6,2,1,3] => 0 [5,4,6,2,3,1] => 0 [5,4,6,3,1,2] => 0 [5,4,6,3,2,1] => 0 [5,6,1,2,3,4] => 0 [5,6,2,1,3,4] => 0 [5,6,2,3,1,4] => 0 [5,6,2,3,4,1] => 0 [5,6,2,4,1,3] => 0 [5,6,3,1,2,4] => 0 [5,6,3,2,1,4] => 0 [5,6,3,2,4,1] => 0 [5,6,3,4,1,2] => 0 [5,6,3,4,2,1] => 0 [5,6,4,1,2,3] => 0 [5,6,4,2,1,3] => 0 [5,6,4,2,3,1] => 0 [5,6,4,3,1,2] => 0 [5,6,4,3,2,1] => 0 [6,1,2,3,4,5] => 0 [6,1,2,5,3,4] => 0 [6,1,4,2,3,5] => 0 [6,1,4,5,2,3] => 0 [6,1,5,2,3,4] => 0 [6,2,1,3,4,5] => 0 [6,2,3,1,4,5] => 0 [6,2,3,4,1,5] => 0 [6,2,3,4,5,1] => 0 [6,2,3,5,4,1] => 0 [6,2,4,1,3,5] => 0 [6,2,4,3,5,1] => 0 [6,2,4,5,3,1] => 0 [6,2,5,1,3,4] => 0 [6,2,5,4,3,1] => 0 [6,3,1,2,4,5] => 0 [6,3,1,5,2,4] => 0 [6,3,2,1,4,5] => 0 [6,3,2,4,1,5] => 0 [6,3,2,4,5,1] => 0 [6,3,2,5,1,4] => 0 [6,3,2,5,4,1] => 0 [6,3,4,1,2,5] => 0 [6,3,4,2,1,5] => 0 [6,3,4,2,5,1] => 0 [6,3,4,5,1,2] => 0 [6,3,4,5,2,1] => 0 [6,3,5,1,2,4] => 0 [6,3,5,4,2,1] => 0 [6,4,1,2,3,5] => 0 [6,4,1,5,2,3] => 0 [6,4,2,1,3,5] => 0 [6,4,2,3,1,5] => 0 [6,4,2,3,5,1] => 0 [6,4,2,5,1,3] => 0 [6,4,3,1,2,5] => 0 [6,4,3,2,1,5] => 0 [6,4,3,2,5,1] => 0 [6,4,3,5,1,2] => 0 [6,4,3,5,2,1] => 0 [6,4,5,1,2,3] => 0 [6,4,5,2,1,3] => 0 [6,4,5,2,3,1] => 0 [6,4,5,3,1,2] => 0 [6,4,5,3,2,1] => 0 [6,5,1,2,3,4] => 0 [6,5,2,1,3,4] => 0 [6,5,2,3,1,4] => 0 [6,5,2,3,4,1] => 0 [6,5,2,4,1,3] => 0 [6,5,3,1,2,4] => 0 [6,5,3,2,1,4] => 0 [6,5,3,2,4,1] => 0 [6,5,3,4,1,2] => 0 [6,5,3,4,2,1] => 0 [6,5,4,1,2,3] => 0 [6,5,4,2,1,3] => 0 [6,5,4,2,3,1] => 0 [6,5,4,3,1,2] => 0 [6,5,4,3,2,1] => 0 [2,3,4,5,6,7,1] => 0 [2,3,4,5,7,1,6] => 0 [2,3,4,6,1,7,5] => 0 [2,3,4,7,1,5,6] => 0 [2,3,4,7,6,1,5] => 0 [2,3,5,1,6,7,4] => 0 [2,3,5,1,7,4,6] => 0 [2,3,6,1,4,7,5] => 0 [2,3,6,5,1,7,4] => 0 [2,3,7,1,4,5,6] => 0 [2,3,7,1,6,4,5] => 0 [2,3,7,5,1,4,6] => 0 [2,3,7,5,6,1,4] => 0 [2,3,7,6,1,4,5] => 0 [2,4,1,5,6,7,3] => 0 [2,4,1,5,7,3,6] => 0 [2,4,1,6,3,7,5] => 0 [2,4,1,7,3,5,6] => 0 [2,4,1,7,6,3,5] => 0 [2,5,1,3,6,7,4] => 0 [2,5,1,3,7,4,6] => 0 [2,5,4,1,6,7,3] => 0 [2,5,4,1,7,3,6] => 0 [2,6,1,3,4,7,5] => 0 [2,6,1,5,3,7,4] => 0 [2,6,4,1,3,7,5] => 0 [2,6,4,5,1,7,3] => 0 [2,6,5,1,3,7,4] => 0 [2,6,7,1,3,4,5] => 0 [2,7,1,3,4,5,6] => 0 [2,7,1,3,6,4,5] => 0 [2,7,1,5,3,4,6] => 0 [2,7,1,5,6,3,4] => 0 [2,7,1,6,3,4,5] => 0 [2,7,4,1,3,5,6] => 0 [2,7,4,1,6,3,5] => 0 [2,7,4,5,1,3,6] => 0 [2,7,4,5,6,1,3] => 0 [2,7,4,6,1,3,5] => 0 [2,7,5,1,3,4,6] => 0 [2,7,5,1,6,3,4] => 0 [2,7,6,5,1,3,4] => 0 [3,1,4,5,6,7,2] => 0 [3,1,4,5,7,2,6] => 0 [3,1,4,6,2,7,5] => 0 [3,1,4,7,2,5,6] => 0 [3,1,4,7,6,2,5] => 0 [3,1,5,2,6,7,4] => 0 [3,1,5,2,7,4,6] => 0 [3,1,6,2,4,7,5] => 0 [3,1,6,5,2,7,4] => 0 [3,1,7,2,4,5,6] => 0 [3,1,7,2,6,4,5] => 0 [3,1,7,5,2,4,6] => 0 [3,1,7,5,6,2,4] => 0 [3,1,7,6,2,4,5] => 0 [4,1,2,5,6,7,3] => 0 [4,1,2,5,7,3,6] => 0 [4,1,2,6,3,7,5] => 0 [4,1,2,7,3,5,6] => 0 [4,1,2,7,6,3,5] => 0 [4,3,1,5,6,7,2] => 0 [4,3,1,5,7,2,6] => 0 [4,3,1,6,2,7,5] => 0 [4,3,1,7,2,5,6] => 0 [4,3,1,7,6,2,5] => 0 [5,1,2,3,6,7,4] => 0 [5,1,2,3,7,4,6] => 0 [5,1,4,2,6,7,3] => 0 [5,1,4,2,7,3,6] => 0 [5,3,1,2,6,7,4] => 0 [5,3,1,2,7,4,6] => 0 [5,3,4,1,6,7,2] => 0 [5,3,4,1,7,2,6] => 0 [5,4,1,2,6,7,3] => 0 [5,4,1,2,7,3,6] => 0 [5,6,1,2,3,7,4] => 0 [5,7,1,2,3,4,6] => 0 [5,7,1,2,6,3,4] => 0 [6,1,2,3,4,7,5] => 0 [6,1,2,5,3,7,4] => 0 [6,1,4,2,3,7,5] => 0 [6,1,4,5,2,7,3] => 0 [6,1,5,2,3,7,4] => 0 [6,1,7,2,3,4,5] => 0 [6,3,1,2,4,7,5] => 0 [6,3,1,5,2,7,4] => 0 [6,3,4,1,2,7,5] => 0 [6,3,4,5,1,7,2] => 0 [6,3,5,1,2,7,4] => 0 [6,3,7,1,2,4,5] => 0 [6,4,1,2,3,7,5] => 0 [6,4,1,5,2,7,3] => 0 [6,5,4,1,2,7,3] => 0 [6,7,1,5,2,3,4] => 0 [6,7,4,1,2,3,5] => 0 [6,7,5,1,2,3,4] => 0 [7,1,2,3,4,5,6] => 0 [7,1,2,3,6,4,5] => 0 [7,1,2,5,3,4,6] => 0 [7,1,2,5,6,3,4] => 0 [7,1,2,6,3,4,5] => 0 [7,1,4,2,3,5,6] => 0 [7,1,4,2,6,3,5] => 0 [7,1,4,5,2,3,6] => 0 [7,1,4,5,6,2,3] => 0 [7,1,4,6,2,3,5] => 0 [7,1,5,2,3,4,6] => 0 [7,1,5,2,6,3,4] => 0 [7,1,6,5,2,3,4] => 0 [7,3,1,2,4,5,6] => 0 [7,3,1,2,6,4,5] => 0 [7,3,1,5,2,4,6] => 0 [7,3,1,5,6,2,4] => 0 [7,3,1,6,2,4,5] => 0 [7,3,4,1,2,5,6] => 0 [7,3,4,1,6,2,5] => 0 [7,3,4,5,1,2,6] => 0 [7,3,4,5,6,1,2] => 0 [7,3,4,6,1,2,5] => 0 [7,3,5,1,2,4,6] => 0 [7,3,5,1,6,2,4] => 0 [7,3,6,5,1,2,4] => 0 [7,4,1,2,3,5,6] => 0 [7,4,1,2,6,3,5] => 0 [7,4,1,5,2,3,6] => 0 [7,4,1,5,6,2,3] => 0 [7,4,1,6,2,3,5] => 0 [7,5,4,1,2,3,6] => 0 [7,5,4,1,6,2,3] => 0 [7,6,1,2,3,4,5] => 0 [7,6,4,5,1,2,3] => 0 [2,1,4,3,6,5,8,7] => 0 [3,4,1,2,6,5,8,7] => 0 [3,4,2,1,6,5,8,7] => 0 [3,5,2,6,1,4,8,7] => 0 [3,5,2,6,4,1,8,7] => 0 [3,5,2,7,4,8,1,6] => 0 [3,5,2,7,4,8,6,1] => 0 [4,5,7,2,3,8,6,1] => 0 [4,5,7,2,3,8,1,6] => 0 [4,5,6,2,3,1,8,7] => 0 [4,5,6,2,1,3,8,7] => 0 [4,5,6,1,2,3,8,7] => 0 [3,5,1,6,2,4,8,7] => 0 [2,1,5,6,3,4,8,7] => 0 [2,1,5,6,4,3,8,7] => 0 [3,5,1,6,4,2,8,7] => 0 [4,5,6,1,3,2,8,7] => 0 [4,5,6,3,1,2,8,7] => 0 [4,5,6,3,2,1,8,7] => 0 [4,5,7,3,2,8,1,6] => 0 [4,5,7,3,2,8,6,1] => 0 [4,6,7,3,8,2,5,1] => 0 [4,6,7,3,8,2,1,5] => 0 [4,6,7,3,8,1,2,5] => 0 [4,5,7,3,1,8,2,6] => 0 [4,5,7,1,3,8,2,6] => 0 [3,5,1,7,4,8,2,6] => 0 [2,1,5,7,4,8,3,6] => 0 [2,1,5,7,4,8,6,3] => 0 [3,5,1,7,4,8,6,2] => 0 [4,5,7,1,3,8,6,2] => 0 [4,5,7,3,1,8,6,2] => 0 [4,6,7,3,8,1,5,2] => 0 [4,6,7,3,8,5,1,2] => 0 [4,6,7,3,8,5,2,1] => 0 [5,6,7,8,3,4,2,1] => 0 [5,6,7,8,3,4,1,2] => 0 [5,6,7,8,3,1,4,2] => 0 [5,6,7,8,1,3,4,2] => 0 [4,6,7,1,8,3,5,2] => 0 [3,6,1,7,8,4,5,2] => 0 [2,1,6,7,8,4,5,3] => 0 [2,1,6,7,8,4,3,5] => 0 [3,6,1,7,8,4,2,5] => 0 [4,6,7,1,8,3,2,5] => 0 [5,6,7,8,1,3,2,4] => 0 [5,6,7,8,3,1,2,4] => 0 [5,6,7,8,3,2,1,4] => 0 [5,6,7,8,3,2,4,1] => 0 [5,6,7,8,2,3,4,1] => 0 [5,6,7,8,2,3,1,4] => 0 [5,6,7,8,2,1,3,4] => 0 [5,6,7,8,1,2,3,4] => 0 [4,6,7,1,8,2,3,5] => 0 [3,6,1,7,8,2,4,5] => 0 [2,1,6,7,8,3,4,5] => 0 [2,1,5,7,3,8,4,6] => 0 [3,5,1,7,2,8,4,6] => 0 [4,5,7,1,2,8,3,6] => 0 [4,5,7,2,1,8,3,6] => 0 [4,6,7,2,8,1,3,5] => 0 [4,6,7,2,8,3,1,5] => 0 [4,6,7,2,8,3,5,1] => 0 [3,6,2,7,8,4,5,1] => 0 [3,6,2,7,8,4,1,5] => 0 [3,6,2,7,8,1,4,5] => 0 [3,5,2,7,1,8,4,6] => 0 [3,4,2,1,7,8,5,6] => 0 [3,4,1,2,7,8,5,6] => 0 [2,1,4,3,7,8,5,6] => 0 [2,1,4,3,7,8,6,5] => 0 [3,4,1,2,7,8,6,5] => 0 [3,4,2,1,7,8,6,5] => 0 [3,5,2,7,1,8,6,4] => 0 [3,6,2,7,8,1,5,4] => 0 [3,6,2,7,8,5,1,4] => 0 [3,6,2,7,8,5,4,1] => 0 [4,6,7,2,8,5,3,1] => 0 [4,6,7,2,8,5,1,3] => 0 [4,6,7,2,8,1,5,3] => 0 [4,5,7,2,1,8,6,3] => 0 [4,5,7,1,2,8,6,3] => 0 [3,5,1,7,2,8,6,4] => 0 [2,1,5,7,3,8,6,4] => 0 [2,1,6,7,8,3,5,4] => 0 [3,6,1,7,8,2,5,4] => 0 [4,6,7,1,8,2,5,3] => 0 [5,6,7,8,1,2,4,3] => 0 [5,6,7,8,2,1,4,3] => 0 [5,6,7,8,2,4,1,3] => 0 [5,6,7,8,2,4,3,1] => 0 [5,6,7,8,4,2,3,1] => 0 [5,6,7,8,4,2,1,3] => 0 [5,6,7,8,4,1,2,3] => 0 [5,6,7,8,1,4,2,3] => 0 [4,6,7,1,8,5,2,3] => 0 [3,6,1,7,8,5,2,4] => 0 [2,1,6,7,8,5,3,4] => 0 [2,1,6,7,8,5,4,3] => 0 [3,6,1,7,8,5,4,2] => 0 [4,6,7,1,8,5,3,2] => 0 [5,6,7,8,1,4,3,2] => 0 [5,6,7,8,4,1,3,2] => 0 [5,6,7,8,4,3,1,2] => 0 [5,6,7,8,4,3,2,1] => 0 [4,3,2,1,6,5,8,7] => 0 [5,3,2,6,1,4,8,7] => 0 [6,3,2,5,4,1,8,7] => 0 [7,3,2,5,4,8,1,6] => 0 [8,3,2,5,4,7,6,1] => 0 [8,4,5,2,3,7,6,1] => 0 [7,4,5,2,3,8,1,6] => 0 [6,4,5,2,3,1,8,7] => 0 [5,4,6,2,1,3,8,7] => 0 [2,1,6,5,4,3,8,7] => 0 [3,6,1,5,4,2,8,7] => 0 [4,6,5,1,3,2,8,7] => 0 [5,6,4,3,1,2,8,7] => 0 [6,5,4,3,2,1,8,7] => 0 [7,5,4,3,2,8,1,6] => 0 [8,5,4,3,2,7,6,1] => 0 [8,6,4,3,7,2,5,1] => 0 [7,6,4,3,8,2,1,5] => 0 [6,7,4,3,8,1,2,5] => 0 [5,7,4,3,1,8,2,6] => 0 [4,7,5,1,3,8,2,6] => 0 [3,7,1,5,4,8,2,6] => 0 [2,1,7,5,4,8,3,6] => 0 [2,1,8,5,4,7,6,3] => 0 [3,8,1,5,4,7,6,2] => 0 [4,8,5,1,3,7,6,2] => 0 [5,8,4,3,1,7,6,2] => 0 [6,8,4,3,7,1,5,2] => 0 [7,8,4,3,6,5,1,2] => 0 [8,7,4,3,6,5,2,1] => 0 [8,7,5,6,3,4,2,1] => 0 [7,8,5,6,3,4,1,2] => 0 [6,8,5,7,3,1,4,2] => 0 [5,8,6,7,1,3,4,2] => 0 [4,8,6,1,7,3,5,2] => 0 [3,8,1,6,7,4,5,2] => 0 [2,1,8,6,7,4,5,3] => 0 [2,1,7,6,8,4,3,5] => 0 [3,7,1,6,8,4,2,5] => 0 [4,7,6,1,8,3,2,5] => 0 [5,7,6,8,1,3,2,4] => 0 [6,7,5,8,3,1,2,4] => 0 [7,6,5,8,3,2,1,4] => 0 [8,6,5,7,3,2,4,1] => 0 [8,5,6,7,2,3,4,1] => 0 [7,5,6,8,2,3,1,4] => 0 [6,5,7,8,2,1,3,4] => 0 [5,4,7,2,1,8,3,6] => 0 [6,4,7,2,8,1,3,5] => 0 [7,4,6,2,8,3,1,5] => 0 [8,4,6,2,7,3,5,1] => 0 [8,3,2,6,7,4,5,1] => 0 [7,3,2,6,8,4,1,5] => 0 [6,3,2,7,8,1,4,5] => 0 [5,3,2,7,1,8,4,6] => 0 [4,3,2,1,7,8,5,6] => 0 [2,1,4,3,8,7,6,5] => 0 [3,4,1,2,8,7,6,5] => 0 [4,3,2,1,8,7,6,5] => 0 [5,3,2,8,1,7,6,4] => 0 [6,3,2,8,7,1,5,4] => 0 [7,3,2,8,6,5,1,4] => 0 [8,3,2,7,6,5,4,1] => 0 [8,4,7,2,6,5,3,1] => 0 [7,4,8,2,6,5,1,3] => 0 [6,4,8,2,7,1,5,3] => 0 [5,4,8,2,1,7,6,3] => 0 [4,5,8,1,2,7,6,3] => 0 [3,5,1,8,2,7,6,4] => 0 [2,1,5,8,3,7,6,4] => 0 [2,1,6,8,7,3,5,4] => 0 [3,6,1,8,7,2,5,4] => 0 [4,6,8,1,7,2,5,3] => 0 [5,6,8,7,1,2,4,3] => 0 [6,5,8,7,2,1,4,3] => 0 [7,5,8,6,2,4,1,3] => 0 [8,5,7,6,2,4,3,1] => 0 [8,6,7,5,4,2,3,1] => 0 [7,6,8,5,4,2,1,3] => 0 [6,7,8,5,4,1,2,3] => 0 [5,7,8,6,1,4,2,3] => 0 [4,7,8,1,6,5,2,3] => 0 [3,7,1,8,6,5,2,4] => 0 [2,1,7,8,6,5,3,4] => 0 [2,1,8,7,6,5,4,3] => 0 [3,8,1,7,6,5,4,2] => 0 [4,8,7,1,6,5,3,2] => 0 [5,8,7,6,1,4,3,2] => 0 [6,8,7,5,4,1,3,2] => 0 [7,8,6,5,4,3,1,2] => 0 [8,7,6,5,4,3,2,1] => 0 ----------------------------------------------------------------------------- Created: May 26, 2024 at 16:24 by Jennifer Elder ----------------------------------------------------------------------------- Last Updated: Jul 30, 2024 at 11:30 by Martin Rubey