***************************************************************************** * 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: St001859 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The number of factors of the Stanley symmetric function associated with a permutation. For example, the Stanley symmetric function of $\pi=321645$ equals $20 m_{1,1,1,1,1} + 11 m_{2,1,1,1} + 6 m_{2,2,1} + 4 m_{3,1,1} + 2 m_{3,2} + m_{4,1} = (m_{1,1} + m_{2})(2 m_{1,1,1} + m_{2,1}).$ ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def statistic(pi): return sum(m for _, m in pi.stanley_symmetric_function().factor()) ----------------------------------------------------------------------------- Statistic values: [1,2] => 0 [2,1] => 1 [1,2,3] => 0 [1,3,2] => 1 [2,1,3] => 1 [2,3,1] => 1 [3,1,2] => 1 [3,2,1] => 1 [1,2,3,4] => 0 [1,2,4,3] => 1 [1,3,2,4] => 1 [1,3,4,2] => 1 [1,4,2,3] => 1 [1,4,3,2] => 1 [2,1,3,4] => 1 [2,1,4,3] => 2 [2,3,1,4] => 1 [2,3,4,1] => 1 [2,4,1,3] => 1 [2,4,3,1] => 1 [3,1,2,4] => 1 [3,1,4,2] => 1 [3,2,1,4] => 1 [3,2,4,1] => 1 [3,4,1,2] => 1 [3,4,2,1] => 1 [4,1,2,3] => 1 [4,1,3,2] => 1 [4,2,1,3] => 1 [4,2,3,1] => 1 [4,3,1,2] => 1 [4,3,2,1] => 1 [1,2,3,4,5] => 0 [1,2,3,5,4] => 1 [1,2,4,3,5] => 1 [1,2,4,5,3] => 1 [1,2,5,3,4] => 1 [1,2,5,4,3] => 1 [1,3,2,4,5] => 1 [1,3,2,5,4] => 2 [1,3,4,2,5] => 1 [1,3,4,5,2] => 1 [1,3,5,2,4] => 1 [1,3,5,4,2] => 1 [1,4,2,3,5] => 1 [1,4,2,5,3] => 1 [1,4,3,2,5] => 1 [1,4,3,5,2] => 1 [1,4,5,2,3] => 1 [1,4,5,3,2] => 1 [1,5,2,3,4] => 1 [1,5,2,4,3] => 1 [1,5,3,2,4] => 1 [1,5,3,4,2] => 1 [1,5,4,2,3] => 1 [1,5,4,3,2] => 1 [2,1,3,4,5] => 1 [2,1,3,5,4] => 2 [2,1,4,3,5] => 2 [2,1,4,5,3] => 2 [2,1,5,3,4] => 2 [2,1,5,4,3] => 2 [2,3,1,4,5] => 1 [2,3,1,5,4] => 2 [2,3,4,1,5] => 1 [2,3,4,5,1] => 1 [2,3,5,1,4] => 1 [2,3,5,4,1] => 1 [2,4,1,3,5] => 1 [2,4,1,5,3] => 1 [2,4,3,1,5] => 1 [2,4,3,5,1] => 1 [2,4,5,1,3] => 1 [2,4,5,3,1] => 1 [2,5,1,3,4] => 1 [2,5,1,4,3] => 1 [2,5,3,1,4] => 1 [2,5,3,4,1] => 1 [2,5,4,1,3] => 1 [2,5,4,3,1] => 1 [3,1,2,4,5] => 1 [3,1,2,5,4] => 2 [3,1,4,2,5] => 1 [3,1,4,5,2] => 1 [3,1,5,2,4] => 1 [3,1,5,4,2] => 1 [3,2,1,4,5] => 1 [3,2,1,5,4] => 2 [3,2,4,1,5] => 1 [3,2,4,5,1] => 1 [3,2,5,1,4] => 1 [3,2,5,4,1] => 1 [3,4,1,2,5] => 1 [3,4,1,5,2] => 1 [3,4,2,1,5] => 1 [3,4,2,5,1] => 1 [3,4,5,1,2] => 1 [3,4,5,2,1] => 1 [3,5,1,2,4] => 1 [3,5,1,4,2] => 1 [3,5,2,1,4] => 1 [3,5,2,4,1] => 1 [3,5,4,1,2] => 1 [3,5,4,2,1] => 1 [4,1,2,3,5] => 1 [4,1,2,5,3] => 1 [4,1,3,2,5] => 1 [4,1,3,5,2] => 1 [4,1,5,2,3] => 1 [4,1,5,3,2] => 1 [4,2,1,3,5] => 1 [4,2,1,5,3] => 1 [4,2,3,1,5] => 1 [4,2,3,5,1] => 1 [4,2,5,1,3] => 1 [4,2,5,3,1] => 1 [4,3,1,2,5] => 1 [4,3,1,5,2] => 1 [4,3,2,1,5] => 1 [4,3,2,5,1] => 1 [4,3,5,1,2] => 1 [4,3,5,2,1] => 1 [4,5,1,2,3] => 1 [4,5,1,3,2] => 1 [4,5,2,1,3] => 1 [4,5,2,3,1] => 1 [4,5,3,1,2] => 1 [4,5,3,2,1] => 1 [5,1,2,3,4] => 1 [5,1,2,4,3] => 1 [5,1,3,2,4] => 1 [5,1,3,4,2] => 1 [5,1,4,2,3] => 1 [5,1,4,3,2] => 1 [5,2,1,3,4] => 1 [5,2,1,4,3] => 1 [5,2,3,1,4] => 1 [5,2,3,4,1] => 1 [5,2,4,1,3] => 1 [5,2,4,3,1] => 1 [5,3,1,2,4] => 1 [5,3,1,4,2] => 1 [5,3,2,1,4] => 1 [5,3,2,4,1] => 1 [5,3,4,1,2] => 1 [5,3,4,2,1] => 1 [5,4,1,2,3] => 1 [5,4,1,3,2] => 1 [5,4,2,1,3] => 1 [5,4,2,3,1] => 1 [5,4,3,1,2] => 1 [5,4,3,2,1] => 1 [1,2,3,4,5,6] => 0 [1,2,3,4,6,5] => 1 [1,2,3,5,4,6] => 1 [1,2,3,5,6,4] => 1 [1,2,3,6,4,5] => 1 [1,2,3,6,5,4] => 1 [1,2,4,3,5,6] => 1 [1,2,4,3,6,5] => 2 [1,2,4,5,3,6] => 1 [1,2,4,5,6,3] => 1 [1,2,4,6,3,5] => 1 [1,2,4,6,5,3] => 1 [1,2,5,3,4,6] => 1 [1,2,5,3,6,4] => 1 [1,2,5,4,3,6] => 1 [1,2,5,4,6,3] => 1 [1,2,5,6,3,4] => 1 [1,2,5,6,4,3] => 1 [1,2,6,3,4,5] => 1 [1,2,6,3,5,4] => 1 [1,2,6,4,3,5] => 1 [1,2,6,4,5,3] => 1 [1,2,6,5,3,4] => 1 [1,2,6,5,4,3] => 1 [1,3,2,4,5,6] => 1 [1,3,2,4,6,5] => 2 [1,3,2,5,4,6] => 2 [1,3,2,5,6,4] => 2 [1,3,2,6,4,5] => 2 [1,3,2,6,5,4] => 2 [1,3,4,2,5,6] => 1 [1,3,4,2,6,5] => 2 [1,3,4,5,2,6] => 1 [1,3,4,5,6,2] => 1 [1,3,4,6,2,5] => 1 [1,3,4,6,5,2] => 1 [1,3,5,2,4,6] => 1 [1,3,5,2,6,4] => 1 [1,3,5,4,2,6] => 1 [1,3,5,4,6,2] => 1 [1,3,5,6,2,4] => 1 [1,3,5,6,4,2] => 1 [1,3,6,2,4,5] => 1 [1,3,6,2,5,4] => 1 [1,3,6,4,2,5] => 1 [1,3,6,4,5,2] => 1 [1,3,6,5,2,4] => 1 [1,3,6,5,4,2] => 1 [1,4,2,3,5,6] => 1 [1,4,2,3,6,5] => 2 [1,4,2,5,3,6] => 1 [1,4,2,5,6,3] => 1 [1,4,2,6,3,5] => 1 [1,4,2,6,5,3] => 1 [1,4,3,2,5,6] => 1 [1,4,3,2,6,5] => 2 [1,4,3,5,2,6] => 1 [1,4,3,5,6,2] => 1 [1,4,3,6,2,5] => 1 [1,4,3,6,5,2] => 1 [1,4,5,2,3,6] => 1 [1,4,5,2,6,3] => 1 [1,4,5,3,2,6] => 1 [1,4,5,3,6,2] => 1 [1,4,5,6,2,3] => 1 [1,4,5,6,3,2] => 1 [1,4,6,2,3,5] => 1 [1,4,6,2,5,3] => 1 [1,4,6,3,2,5] => 1 [1,4,6,3,5,2] => 1 [1,4,6,5,2,3] => 1 [1,4,6,5,3,2] => 1 [1,5,2,3,4,6] => 1 [1,5,2,3,6,4] => 1 [1,5,2,4,3,6] => 1 [1,5,2,4,6,3] => 1 [1,5,2,6,3,4] => 1 [1,5,2,6,4,3] => 1 [1,5,3,2,4,6] => 1 [1,5,3,2,6,4] => 1 [1,5,3,4,2,6] => 1 [1,5,3,4,6,2] => 1 [1,5,3,6,2,4] => 1 [1,5,3,6,4,2] => 1 [1,5,4,2,3,6] => 1 [1,5,4,2,6,3] => 1 [1,5,4,3,2,6] => 1 [1,5,4,3,6,2] => 1 [1,5,4,6,2,3] => 1 [1,5,4,6,3,2] => 1 [1,5,6,2,3,4] => 1 [1,5,6,2,4,3] => 1 [1,5,6,3,2,4] => 1 [1,5,6,3,4,2] => 1 [1,5,6,4,2,3] => 1 [1,5,6,4,3,2] => 1 [1,6,2,3,4,5] => 1 [1,6,2,3,5,4] => 1 [1,6,2,4,3,5] => 1 [1,6,2,4,5,3] => 1 [1,6,2,5,3,4] => 1 [1,6,2,5,4,3] => 1 [1,6,3,2,4,5] => 1 [1,6,3,2,5,4] => 1 [1,6,3,4,2,5] => 1 [1,6,3,4,5,2] => 1 [1,6,3,5,2,4] => 1 [1,6,3,5,4,2] => 1 [1,6,4,2,3,5] => 1 [1,6,4,2,5,3] => 1 [1,6,4,3,2,5] => 1 [1,6,4,3,5,2] => 1 [1,6,4,5,2,3] => 1 [1,6,4,5,3,2] => 1 [1,6,5,2,3,4] => 1 [1,6,5,2,4,3] => 1 [1,6,5,3,2,4] => 1 [1,6,5,3,4,2] => 1 [1,6,5,4,2,3] => 1 [1,6,5,4,3,2] => 1 [2,1,3,4,5,6] => 1 [2,1,3,4,6,5] => 2 [2,1,3,5,4,6] => 2 [2,1,3,5,6,4] => 2 [2,1,3,6,4,5] => 2 [2,1,3,6,5,4] => 2 [2,1,4,3,5,6] => 2 [2,1,4,3,6,5] => 3 [2,1,4,5,3,6] => 2 [2,1,4,5,6,3] => 2 [2,1,4,6,3,5] => 2 [2,1,4,6,5,3] => 2 [2,1,5,3,4,6] => 2 [2,1,5,3,6,4] => 2 [2,1,5,4,3,6] => 2 [2,1,5,4,6,3] => 2 [2,1,5,6,3,4] => 2 [2,1,5,6,4,3] => 2 [2,1,6,3,4,5] => 2 [2,1,6,3,5,4] => 2 [2,1,6,4,3,5] => 2 [2,1,6,4,5,3] => 2 [2,1,6,5,3,4] => 2 [2,1,6,5,4,3] => 2 [2,3,1,4,5,6] => 1 [2,3,1,4,6,5] => 2 [2,3,1,5,4,6] => 2 [2,3,1,5,6,4] => 2 [2,3,1,6,4,5] => 2 [2,3,1,6,5,4] => 2 [2,3,4,1,5,6] => 1 [2,3,4,1,6,5] => 2 [2,3,4,5,1,6] => 1 [2,3,4,5,6,1] => 1 [2,3,4,6,1,5] => 1 [2,3,4,6,5,1] => 1 [2,3,5,1,4,6] => 1 [2,3,5,1,6,4] => 1 [2,3,5,4,1,6] => 1 [2,3,5,4,6,1] => 1 [2,3,5,6,1,4] => 1 [2,3,5,6,4,1] => 1 [2,3,6,1,4,5] => 1 [2,3,6,1,5,4] => 1 [2,3,6,4,1,5] => 1 [2,3,6,4,5,1] => 1 [2,3,6,5,1,4] => 1 [2,3,6,5,4,1] => 1 [2,4,1,3,5,6] => 1 [2,4,1,3,6,5] => 2 [2,4,1,5,3,6] => 1 [2,4,1,5,6,3] => 1 [2,4,1,6,3,5] => 1 [2,4,1,6,5,3] => 1 [2,4,3,1,5,6] => 1 [2,4,3,1,6,5] => 2 [2,4,3,5,1,6] => 1 [2,4,3,5,6,1] => 1 [2,4,3,6,1,5] => 1 [2,4,3,6,5,1] => 1 [2,4,5,1,3,6] => 1 [2,4,5,1,6,3] => 1 [2,4,5,3,1,6] => 1 [2,4,5,3,6,1] => 1 [2,4,5,6,1,3] => 1 [2,4,5,6,3,1] => 1 [2,4,6,1,3,5] => 1 [2,4,6,1,5,3] => 1 [2,4,6,3,1,5] => 1 [2,4,6,3,5,1] => 1 [2,4,6,5,1,3] => 1 [2,4,6,5,3,1] => 1 [2,5,1,3,4,6] => 1 [2,5,1,3,6,4] => 1 [2,5,1,4,3,6] => 1 [2,5,1,4,6,3] => 1 [2,5,1,6,3,4] => 1 [2,5,1,6,4,3] => 1 [2,5,3,1,4,6] => 1 [2,5,3,1,6,4] => 1 [2,5,3,4,1,6] => 1 [2,5,3,4,6,1] => 1 [2,5,3,6,1,4] => 1 [2,5,3,6,4,1] => 1 [2,5,4,1,3,6] => 1 [2,5,4,1,6,3] => 1 [2,5,4,3,1,6] => 1 [2,5,4,3,6,1] => 1 [2,5,4,6,1,3] => 1 [2,5,4,6,3,1] => 1 [2,5,6,1,3,4] => 1 [2,5,6,1,4,3] => 1 [2,5,6,3,1,4] => 1 [2,5,6,3,4,1] => 1 [2,5,6,4,1,3] => 1 [2,5,6,4,3,1] => 1 [2,6,1,3,4,5] => 1 [2,6,1,3,5,4] => 1 [2,6,1,4,3,5] => 1 [2,6,1,4,5,3] => 1 [2,6,1,5,3,4] => 1 [2,6,1,5,4,3] => 1 [2,6,3,1,4,5] => 1 [2,6,3,1,5,4] => 1 [2,6,3,4,1,5] => 1 [2,6,3,4,5,1] => 1 [2,6,3,5,1,4] => 1 [2,6,3,5,4,1] => 1 [2,6,4,1,3,5] => 1 [2,6,4,1,5,3] => 1 [2,6,4,3,1,5] => 1 [2,6,4,3,5,1] => 1 [2,6,4,5,1,3] => 1 [2,6,4,5,3,1] => 1 [2,6,5,1,3,4] => 1 [2,6,5,1,4,3] => 1 [2,6,5,3,1,4] => 1 [2,6,5,3,4,1] => 1 [2,6,5,4,1,3] => 1 [2,6,5,4,3,1] => 1 [3,1,2,4,5,6] => 1 [3,1,2,4,6,5] => 2 [3,1,2,5,4,6] => 2 [3,1,2,5,6,4] => 2 [3,1,2,6,4,5] => 2 [3,1,2,6,5,4] => 2 [3,1,4,2,5,6] => 1 [3,1,4,2,6,5] => 2 [3,1,4,5,2,6] => 1 [3,1,4,5,6,2] => 1 [3,1,4,6,2,5] => 1 [3,1,4,6,5,2] => 1 [3,1,5,2,4,6] => 1 [3,1,5,2,6,4] => 1 [3,1,5,4,2,6] => 1 [3,1,5,4,6,2] => 1 [3,1,5,6,2,4] => 1 [3,1,5,6,4,2] => 1 [3,1,6,2,4,5] => 1 [3,1,6,2,5,4] => 1 [3,1,6,4,2,5] => 1 [3,1,6,4,5,2] => 1 [3,1,6,5,2,4] => 1 [3,1,6,5,4,2] => 1 [3,2,1,4,5,6] => 1 [3,2,1,4,6,5] => 2 [3,2,1,5,4,6] => 2 [3,2,1,5,6,4] => 2 [3,2,1,6,4,5] => 2 [3,2,1,6,5,4] => 2 [3,2,4,1,5,6] => 1 [3,2,4,1,6,5] => 2 [3,2,4,5,1,6] => 1 [3,2,4,5,6,1] => 1 [3,2,4,6,1,5] => 1 [3,2,4,6,5,1] => 1 [3,2,5,1,4,6] => 1 [3,2,5,1,6,4] => 1 [3,2,5,4,1,6] => 1 [3,2,5,4,6,1] => 1 [3,2,5,6,1,4] => 1 [3,2,5,6,4,1] => 1 [3,2,6,1,4,5] => 1 [3,2,6,1,5,4] => 1 [3,2,6,4,1,5] => 1 [3,2,6,4,5,1] => 1 [3,2,6,5,1,4] => 1 [3,2,6,5,4,1] => 1 [3,4,1,2,5,6] => 1 [3,4,1,2,6,5] => 2 [3,4,1,5,2,6] => 1 [3,4,1,5,6,2] => 1 [3,4,1,6,2,5] => 1 [3,4,1,6,5,2] => 1 [3,4,2,1,5,6] => 1 [3,4,2,1,6,5] => 2 [3,4,2,5,1,6] => 1 [3,4,2,5,6,1] => 1 [3,4,2,6,1,5] => 1 [3,4,2,6,5,1] => 1 [3,4,5,1,2,6] => 1 [3,4,5,1,6,2] => 1 [3,4,5,2,1,6] => 1 [3,4,5,2,6,1] => 1 [3,4,5,6,1,2] => 1 [3,4,5,6,2,1] => 1 [3,4,6,1,2,5] => 1 [3,4,6,1,5,2] => 1 [3,4,6,2,1,5] => 1 [3,4,6,2,5,1] => 1 [3,4,6,5,1,2] => 1 [3,4,6,5,2,1] => 1 [3,5,1,2,4,6] => 1 [3,5,1,2,6,4] => 1 [3,5,1,4,2,6] => 1 [3,5,1,4,6,2] => 1 [3,5,1,6,2,4] => 1 [3,5,1,6,4,2] => 1 [3,5,2,1,4,6] => 1 [3,5,2,1,6,4] => 1 [3,5,2,4,1,6] => 1 [3,5,2,4,6,1] => 1 [3,5,2,6,1,4] => 1 [3,5,2,6,4,1] => 1 [3,5,4,1,2,6] => 1 [3,5,4,1,6,2] => 1 [3,5,4,2,1,6] => 1 [3,5,4,2,6,1] => 1 [3,5,4,6,1,2] => 1 [3,5,4,6,2,1] => 1 [3,5,6,1,2,4] => 1 [3,5,6,1,4,2] => 1 [3,5,6,2,1,4] => 1 [3,5,6,2,4,1] => 1 [3,5,6,4,1,2] => 1 [3,5,6,4,2,1] => 1 [3,6,1,2,4,5] => 1 [3,6,1,2,5,4] => 1 [3,6,1,4,2,5] => 1 [3,6,1,4,5,2] => 1 [3,6,1,5,2,4] => 1 [3,6,1,5,4,2] => 1 [3,6,2,1,4,5] => 1 [3,6,2,1,5,4] => 1 [3,6,2,4,1,5] => 1 [3,6,2,4,5,1] => 1 [3,6,2,5,1,4] => 1 [3,6,2,5,4,1] => 1 [3,6,4,1,2,5] => 1 [3,6,4,1,5,2] => 1 [3,6,4,2,1,5] => 1 [3,6,4,2,5,1] => 1 [3,6,4,5,1,2] => 1 [3,6,4,5,2,1] => 1 [3,6,5,1,2,4] => 1 [3,6,5,1,4,2] => 1 [3,6,5,2,1,4] => 1 [3,6,5,2,4,1] => 1 [3,6,5,4,1,2] => 1 [3,6,5,4,2,1] => 1 [4,1,2,3,5,6] => 1 [4,1,2,3,6,5] => 2 [4,1,2,5,3,6] => 1 [4,1,2,5,6,3] => 1 [4,1,2,6,3,5] => 1 [4,1,2,6,5,3] => 1 [4,1,3,2,5,6] => 1 [4,1,3,2,6,5] => 2 [4,1,3,5,2,6] => 1 [4,1,3,5,6,2] => 1 [4,1,3,6,2,5] => 1 [4,1,3,6,5,2] => 1 [4,1,5,2,3,6] => 1 [4,1,5,2,6,3] => 1 [4,1,5,3,2,6] => 1 [4,1,5,3,6,2] => 1 [4,1,5,6,2,3] => 1 [4,1,5,6,3,2] => 1 [4,1,6,2,3,5] => 1 [4,1,6,2,5,3] => 1 [4,1,6,3,2,5] => 1 [4,1,6,3,5,2] => 1 [4,1,6,5,2,3] => 1 [4,1,6,5,3,2] => 1 [4,2,1,3,5,6] => 1 [4,2,1,3,6,5] => 2 [4,2,1,5,3,6] => 1 [4,2,1,5,6,3] => 1 [4,2,1,6,3,5] => 1 [4,2,1,6,5,3] => 1 [4,2,3,1,5,6] => 1 [4,2,3,1,6,5] => 2 [4,2,3,5,1,6] => 1 [4,2,3,5,6,1] => 1 [4,2,3,6,1,5] => 1 [4,2,3,6,5,1] => 1 [4,2,5,1,3,6] => 1 [4,2,5,1,6,3] => 1 [4,2,5,3,1,6] => 1 [4,2,5,3,6,1] => 1 [4,2,5,6,1,3] => 1 [4,2,5,6,3,1] => 1 [4,2,6,1,3,5] => 1 [4,2,6,1,5,3] => 1 [4,2,6,3,1,5] => 1 [4,2,6,3,5,1] => 1 [4,2,6,5,1,3] => 1 [4,2,6,5,3,1] => 1 [4,3,1,2,5,6] => 1 [4,3,1,2,6,5] => 2 [4,3,1,5,2,6] => 1 [4,3,1,5,6,2] => 1 [4,3,1,6,2,5] => 1 [4,3,1,6,5,2] => 1 [4,3,2,1,5,6] => 1 [4,3,2,1,6,5] => 2 [4,3,2,5,1,6] => 1 [4,3,2,5,6,1] => 1 [4,3,2,6,1,5] => 1 [4,3,2,6,5,1] => 1 [4,3,5,1,2,6] => 1 [4,3,5,1,6,2] => 1 [4,3,5,2,1,6] => 1 [4,3,5,2,6,1] => 1 [4,3,5,6,1,2] => 1 [4,3,5,6,2,1] => 1 [4,3,6,1,2,5] => 1 [4,3,6,1,5,2] => 1 [4,3,6,2,1,5] => 1 [4,3,6,2,5,1] => 1 [4,3,6,5,1,2] => 1 [4,3,6,5,2,1] => 1 [4,5,1,2,3,6] => 1 [4,5,1,2,6,3] => 1 [4,5,1,3,2,6] => 1 [4,5,1,3,6,2] => 1 [4,5,1,6,2,3] => 1 [4,5,1,6,3,2] => 1 [4,5,2,1,3,6] => 1 [4,5,2,1,6,3] => 1 [4,5,2,3,1,6] => 1 [4,5,2,3,6,1] => 1 [4,5,2,6,1,3] => 1 [4,5,2,6,3,1] => 1 [4,5,3,1,2,6] => 1 [4,5,3,1,6,2] => 1 [4,5,3,2,1,6] => 1 [4,5,3,2,6,1] => 1 [4,5,3,6,1,2] => 1 [4,5,3,6,2,1] => 1 [4,5,6,1,2,3] => 1 [4,5,6,1,3,2] => 1 [4,5,6,2,1,3] => 1 [4,5,6,2,3,1] => 1 [4,5,6,3,1,2] => 1 [4,5,6,3,2,1] => 1 [4,6,1,2,3,5] => 1 [4,6,1,2,5,3] => 1 [4,6,1,3,2,5] => 1 [4,6,1,3,5,2] => 1 [4,6,1,5,2,3] => 1 [4,6,1,5,3,2] => 1 [4,6,2,1,3,5] => 1 [4,6,2,1,5,3] => 1 [4,6,2,3,1,5] => 1 [4,6,2,3,5,1] => 1 [4,6,2,5,1,3] => 1 [4,6,2,5,3,1] => 1 [4,6,3,1,2,5] => 1 [4,6,3,1,5,2] => 1 [4,6,3,2,1,5] => 1 [4,6,3,2,5,1] => 1 [4,6,3,5,1,2] => 1 [4,6,3,5,2,1] => 1 [4,6,5,1,2,3] => 1 [4,6,5,1,3,2] => 1 [4,6,5,2,1,3] => 1 [4,6,5,2,3,1] => 1 [4,6,5,3,1,2] => 1 [4,6,5,3,2,1] => 1 [5,1,2,3,4,6] => 1 [5,1,2,3,6,4] => 1 [5,1,2,4,3,6] => 1 [5,1,2,4,6,3] => 1 [5,1,2,6,3,4] => 1 [5,1,2,6,4,3] => 1 [5,1,3,2,4,6] => 1 [5,1,3,2,6,4] => 1 [5,1,3,4,2,6] => 1 [5,1,3,4,6,2] => 1 [5,1,3,6,2,4] => 1 [5,1,3,6,4,2] => 1 [5,1,4,2,3,6] => 1 [5,1,4,2,6,3] => 1 [5,1,4,3,2,6] => 1 [5,1,4,3,6,2] => 1 [5,1,4,6,2,3] => 1 [5,1,4,6,3,2] => 1 [5,1,6,2,3,4] => 1 [5,1,6,2,4,3] => 1 [5,1,6,3,2,4] => 1 [5,1,6,3,4,2] => 1 [5,1,6,4,2,3] => 1 [5,1,6,4,3,2] => 1 [5,2,1,3,4,6] => 1 [5,2,1,3,6,4] => 1 [5,2,1,4,3,6] => 1 [5,2,1,4,6,3] => 1 [5,2,1,6,3,4] => 1 [5,2,1,6,4,3] => 1 [5,2,3,1,4,6] => 1 [5,2,3,1,6,4] => 1 [5,2,3,4,1,6] => 1 [5,2,3,4,6,1] => 1 [5,2,3,6,1,4] => 1 [5,2,3,6,4,1] => 1 [5,2,4,1,3,6] => 1 [5,2,4,1,6,3] => 1 [5,2,4,3,1,6] => 1 [5,2,4,3,6,1] => 1 [5,2,4,6,1,3] => 1 [5,2,4,6,3,1] => 1 [5,2,6,1,3,4] => 1 [5,2,6,1,4,3] => 1 [5,2,6,3,1,4] => 1 [5,2,6,3,4,1] => 1 [5,2,6,4,1,3] => 1 [5,2,6,4,3,1] => 1 [5,3,1,2,4,6] => 1 [5,3,1,2,6,4] => 1 [5,3,1,4,2,6] => 1 [5,3,1,4,6,2] => 1 [5,3,1,6,2,4] => 1 [5,3,1,6,4,2] => 1 [5,3,2,1,4,6] => 1 [5,3,2,1,6,4] => 1 [5,3,2,4,1,6] => 1 [5,3,2,4,6,1] => 1 [5,3,2,6,1,4] => 1 [5,3,2,6,4,1] => 1 [5,3,4,1,2,6] => 1 [5,3,4,1,6,2] => 1 [5,3,4,2,1,6] => 1 [5,3,4,2,6,1] => 1 [5,3,4,6,1,2] => 1 [5,3,4,6,2,1] => 1 [5,3,6,1,2,4] => 1 [5,3,6,1,4,2] => 1 [5,3,6,2,1,4] => 1 [5,3,6,2,4,1] => 1 [5,3,6,4,1,2] => 1 [5,3,6,4,2,1] => 1 [5,4,1,2,3,6] => 1 [5,4,1,2,6,3] => 1 [5,4,1,3,2,6] => 1 [5,4,1,3,6,2] => 1 [5,4,1,6,2,3] => 1 [5,4,1,6,3,2] => 1 [5,4,2,1,3,6] => 1 [5,4,2,1,6,3] => 1 [5,4,2,3,1,6] => 1 [5,4,2,3,6,1] => 1 [5,4,2,6,1,3] => 1 [5,4,2,6,3,1] => 1 [5,4,3,1,2,6] => 1 [5,4,3,1,6,2] => 1 [5,4,3,2,1,6] => 1 [5,4,3,2,6,1] => 1 [5,4,3,6,1,2] => 1 [5,4,3,6,2,1] => 1 [5,4,6,1,2,3] => 1 [5,4,6,1,3,2] => 1 [5,4,6,2,1,3] => 1 [5,4,6,2,3,1] => 1 [5,4,6,3,1,2] => 1 [5,4,6,3,2,1] => 1 [5,6,1,2,3,4] => 1 [5,6,1,2,4,3] => 1 [5,6,1,3,2,4] => 1 [5,6,1,3,4,2] => 1 [5,6,1,4,2,3] => 1 [5,6,1,4,3,2] => 1 [5,6,2,1,3,4] => 1 [5,6,2,1,4,3] => 1 [5,6,2,3,1,4] => 1 [5,6,2,3,4,1] => 1 [5,6,2,4,1,3] => 1 [5,6,2,4,3,1] => 1 [5,6,3,1,2,4] => 1 [5,6,3,1,4,2] => 1 [5,6,3,2,1,4] => 1 [5,6,3,2,4,1] => 1 [5,6,3,4,1,2] => 1 [5,6,3,4,2,1] => 1 [5,6,4,1,2,3] => 1 [5,6,4,1,3,2] => 1 [5,6,4,2,1,3] => 1 [5,6,4,2,3,1] => 1 [5,6,4,3,1,2] => 1 [5,6,4,3,2,1] => 1 [6,1,2,3,4,5] => 1 [6,1,2,3,5,4] => 1 [6,1,2,4,3,5] => 1 [6,1,2,4,5,3] => 1 [6,1,2,5,3,4] => 1 [6,1,2,5,4,3] => 1 [6,1,3,2,4,5] => 1 [6,1,3,2,5,4] => 1 [6,1,3,4,2,5] => 1 [6,1,3,4,5,2] => 1 [6,1,3,5,2,4] => 1 [6,1,3,5,4,2] => 1 [6,1,4,2,3,5] => 1 [6,1,4,2,5,3] => 1 [6,1,4,3,2,5] => 1 [6,1,4,3,5,2] => 1 [6,1,4,5,2,3] => 1 [6,1,4,5,3,2] => 1 [6,1,5,2,3,4] => 1 [6,1,5,2,4,3] => 1 [6,1,5,3,2,4] => 1 [6,1,5,3,4,2] => 1 [6,1,5,4,2,3] => 1 [6,1,5,4,3,2] => 1 [6,2,1,3,4,5] => 1 [6,2,1,3,5,4] => 1 [6,2,1,4,3,5] => 1 [6,2,1,4,5,3] => 1 [6,2,1,5,3,4] => 1 [6,2,1,5,4,3] => 1 [6,2,3,1,4,5] => 1 [6,2,3,1,5,4] => 1 [6,2,3,4,1,5] => 1 [6,2,3,4,5,1] => 1 [6,2,3,5,1,4] => 1 [6,2,3,5,4,1] => 1 [6,2,4,1,3,5] => 1 [6,2,4,1,5,3] => 1 [6,2,4,3,1,5] => 1 [6,2,4,3,5,1] => 1 [6,2,4,5,1,3] => 1 [6,2,4,5,3,1] => 1 [6,2,5,1,3,4] => 1 [6,2,5,1,4,3] => 1 [6,2,5,3,1,4] => 1 [6,2,5,3,4,1] => 1 [6,2,5,4,1,3] => 1 [6,2,5,4,3,1] => 1 [6,3,1,2,4,5] => 1 [6,3,1,2,5,4] => 1 [6,3,1,4,2,5] => 1 [6,3,1,4,5,2] => 1 [6,3,1,5,2,4] => 1 [6,3,1,5,4,2] => 1 [6,3,2,1,4,5] => 1 [6,3,2,1,5,4] => 1 [6,3,2,4,1,5] => 1 [6,3,2,4,5,1] => 1 [6,3,2,5,1,4] => 1 [6,3,2,5,4,1] => 1 [6,3,4,1,2,5] => 1 [6,3,4,1,5,2] => 1 [6,3,4,2,1,5] => 1 [6,3,4,2,5,1] => 1 [6,3,4,5,1,2] => 1 [6,3,4,5,2,1] => 1 [6,3,5,1,2,4] => 1 [6,3,5,1,4,2] => 1 [6,3,5,2,1,4] => 1 [6,3,5,2,4,1] => 1 [6,3,5,4,1,2] => 1 [6,3,5,4,2,1] => 1 [6,4,1,2,3,5] => 1 [6,4,1,2,5,3] => 1 [6,4,1,3,2,5] => 1 [6,4,1,3,5,2] => 1 [6,4,1,5,2,3] => 1 [6,4,1,5,3,2] => 1 [6,4,2,1,3,5] => 1 [6,4,2,1,5,3] => 1 [6,4,2,3,1,5] => 1 [6,4,2,3,5,1] => 1 [6,4,2,5,1,3] => 1 [6,4,2,5,3,1] => 1 [6,4,3,1,2,5] => 1 [6,4,3,1,5,2] => 1 [6,4,3,2,1,5] => 1 [6,4,3,2,5,1] => 1 [6,4,3,5,1,2] => 1 [6,4,3,5,2,1] => 1 [6,4,5,1,2,3] => 1 [6,4,5,1,3,2] => 1 [6,4,5,2,1,3] => 1 [6,4,5,2,3,1] => 1 [6,4,5,3,1,2] => 1 [6,4,5,3,2,1] => 1 [6,5,1,2,3,4] => 1 [6,5,1,2,4,3] => 1 [6,5,1,3,2,4] => 1 [6,5,1,3,4,2] => 1 [6,5,1,4,2,3] => 1 [6,5,1,4,3,2] => 1 [6,5,2,1,3,4] => 1 [6,5,2,1,4,3] => 1 [6,5,2,3,1,4] => 1 [6,5,2,3,4,1] => 1 [6,5,2,4,1,3] => 1 [6,5,2,4,3,1] => 1 [6,5,3,1,2,4] => 1 [6,5,3,1,4,2] => 1 [6,5,3,2,1,4] => 1 [6,5,3,2,4,1] => 1 [6,5,3,4,1,2] => 1 [6,5,3,4,2,1] => 1 [6,5,4,1,2,3] => 1 [6,5,4,1,3,2] => 1 [6,5,4,2,1,3] => 1 [6,5,4,2,3,1] => 1 [6,5,4,3,1,2] => 1 [6,5,4,3,2,1] => 1 ----------------------------------------------------------------------------- Created: Nov 29, 2022 at 12:32 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Nov 29, 2022 at 12:32 by Martin Rubey