***************************************************************************** * 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: St001346 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The number of [[http://www.findstat.org/ParkingFunctions|parking functions]] that give the same permutation. A '''parking function''' \$(a_1,...,a_n)\$ is give the preferences of parking spots of \$n\$ cars entering a one-way street. Once the cars have parked, the order of cars gives a permutation of \$\{1,..,n\}\$. This statistic records the number of parking functions that yield the same permutation of cars. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: ----------------------------------------------------------------------------- Statistic values: [1,2] => 2 [2,1] => 1 [1,2,3] => 6 [1,3,2] => 2 [2,1,3] => 3 [2,3,1] => 2 [3,1,2] => 2 [3,2,1] => 1 [1,2,3,4] => 24 [1,2,4,3] => 6 [1,3,2,4] => 8 [1,3,4,2] => 4 [1,4,2,3] => 6 [1,4,3,2] => 2 [2,1,3,4] => 12 [2,1,4,3] => 3 [2,3,1,4] => 8 [2,3,4,1] => 6 [2,4,1,3] => 3 [2,4,3,1] => 2 [3,1,2,4] => 8 [3,1,4,2] => 4 [3,2,1,4] => 4 [3,2,4,1] => 3 [3,4,1,2] => 4 [3,4,2,1] => 2 [4,1,2,3] => 6 [4,1,3,2] => 2 [4,2,1,3] => 3 [4,2,3,1] => 2 [4,3,1,2] => 2 [4,3,2,1] => 1 [1,2,3,4,5] => 120 [1,2,3,5,4] => 24 [1,2,4,3,5] => 30 [1,2,4,5,3] => 12 [1,2,5,3,4] => 24 [1,2,5,4,3] => 6 [1,3,2,4,5] => 40 [1,3,2,5,4] => 8 [1,3,4,2,5] => 20 [1,3,4,5,2] => 12 [1,3,5,2,4] => 8 [1,3,5,4,2] => 4 [1,4,2,3,5] => 30 [1,4,2,5,3] => 12 [1,4,3,2,5] => 10 [1,4,3,5,2] => 6 [1,4,5,2,3] => 12 [1,4,5,3,2] => 4 [1,5,2,3,4] => 24 [1,5,2,4,3] => 6 [1,5,3,2,4] => 8 [1,5,3,4,2] => 4 [1,5,4,2,3] => 6 [1,5,4,3,2] => 2 [2,1,3,4,5] => 60 [2,1,3,5,4] => 12 [2,1,4,3,5] => 15 [2,1,4,5,3] => 6 [2,1,5,3,4] => 12 [2,1,5,4,3] => 3 [2,3,1,4,5] => 40 [2,3,1,5,4] => 8 [2,3,4,1,5] => 30 [2,3,4,5,1] => 24 [2,3,5,1,4] => 8 [2,3,5,4,1] => 6 [2,4,1,3,5] => 15 [2,4,1,5,3] => 6 [2,4,3,1,5] => 10 [2,4,3,5,1] => 8 [2,4,5,1,3] => 6 [2,4,5,3,1] => 4 [2,5,1,3,4] => 12 [2,5,1,4,3] => 3 [2,5,3,1,4] => 8 [2,5,3,4,1] => 6 [2,5,4,1,3] => 3 [2,5,4,3,1] => 2 [3,1,2,4,5] => 40 [3,1,2,5,4] => 8 [3,1,4,2,5] => 20 [3,1,4,5,2] => 12 [3,1,5,2,4] => 8 [3,1,5,4,2] => 4 [3,2,1,4,5] => 20 [3,2,1,5,4] => 4 [3,2,4,1,5] => 15 [3,2,4,5,1] => 12 [3,2,5,1,4] => 4 [3,2,5,4,1] => 3 [3,4,1,2,5] => 20 [3,4,1,5,2] => 12 [3,4,2,1,5] => 10 [3,4,2,5,1] => 8 [3,4,5,1,2] => 12 [3,4,5,2,1] => 6 [3,5,1,2,4] => 8 [3,5,1,4,2] => 4 [3,5,2,1,4] => 4 [3,5,2,4,1] => 3 [3,5,4,1,2] => 4 [3,5,4,2,1] => 2 [4,1,2,3,5] => 30 [4,1,2,5,3] => 12 [4,1,3,2,5] => 10 [4,1,3,5,2] => 6 [4,1,5,2,3] => 12 [4,1,5,3,2] => 4 [4,2,1,3,5] => 15 [4,2,1,5,3] => 6 [4,2,3,1,5] => 10 [4,2,3,5,1] => 8 [4,2,5,1,3] => 6 [4,2,5,3,1] => 4 [4,3,1,2,5] => 10 [4,3,1,5,2] => 6 [4,3,2,1,5] => 5 [4,3,2,5,1] => 4 [4,3,5,1,2] => 6 [4,3,5,2,1] => 3 [4,5,1,2,3] => 12 [4,5,1,3,2] => 4 [4,5,2,1,3] => 6 [4,5,2,3,1] => 4 [4,5,3,1,2] => 4 [4,5,3,2,1] => 2 [5,1,2,3,4] => 24 [5,1,2,4,3] => 6 [5,1,3,2,4] => 8 [5,1,3,4,2] => 4 [5,1,4,2,3] => 6 [5,1,4,3,2] => 2 [5,2,1,3,4] => 12 [5,2,1,4,3] => 3 [5,2,3,1,4] => 8 [5,2,3,4,1] => 6 [5,2,4,1,3] => 3 [5,2,4,3,1] => 2 [5,3,1,2,4] => 8 [5,3,1,4,2] => 4 [5,3,2,1,4] => 4 [5,3,2,4,1] => 3 [5,3,4,1,2] => 4 [5,3,4,2,1] => 2 [5,4,1,2,3] => 6 [5,4,1,3,2] => 2 [5,4,2,1,3] => 3 [5,4,2,3,1] => 2 [5,4,3,1,2] => 2 [5,4,3,2,1] => 1 [1,2,3,4,5,6] => 720 [1,2,3,4,6,5] => 120 [1,2,3,5,4,6] => 144 [1,2,3,5,6,4] => 48 [1,2,3,6,4,5] => 120 [1,2,3,6,5,4] => 24 [1,2,4,3,5,6] => 180 [1,2,4,3,6,5] => 30 [1,2,4,5,3,6] => 72 [1,2,4,5,6,3] => 36 [1,2,4,6,3,5] => 30 [1,2,4,6,5,3] => 12 [1,2,5,3,4,6] => 144 [1,2,5,3,6,4] => 48 [1,2,5,4,3,6] => 36 [1,2,5,4,6,3] => 18 [1,2,5,6,3,4] => 48 [1,2,5,6,4,3] => 12 [1,2,6,3,4,5] => 120 [1,2,6,3,5,4] => 24 [1,2,6,4,3,5] => 30 [1,2,6,4,5,3] => 12 [1,2,6,5,3,4] => 24 [1,2,6,5,4,3] => 6 [1,3,2,4,5,6] => 240 [1,3,2,4,6,5] => 40 [1,3,2,5,4,6] => 48 [1,3,2,5,6,4] => 16 [1,3,2,6,4,5] => 40 [1,3,2,6,5,4] => 8 [1,3,4,2,5,6] => 120 [1,3,4,2,6,5] => 20 [1,3,4,5,2,6] => 72 [1,3,4,5,6,2] => 48 [1,3,4,6,2,5] => 20 [1,3,4,6,5,2] => 12 [1,3,5,2,4,6] => 48 [1,3,5,2,6,4] => 16 [1,3,5,4,2,6] => 24 [1,3,5,4,6,2] => 16 [1,3,5,6,2,4] => 16 [1,3,5,6,4,2] => 8 [1,3,6,2,4,5] => 40 [1,3,6,2,5,4] => 8 [1,3,6,4,2,5] => 20 [1,3,6,4,5,2] => 12 [1,3,6,5,2,4] => 8 [1,3,6,5,4,2] => 4 [1,4,2,3,5,6] => 180 [1,4,2,3,6,5] => 30 [1,4,2,5,3,6] => 72 [1,4,2,5,6,3] => 36 [1,4,2,6,3,5] => 30 [1,4,2,6,5,3] => 12 [1,4,3,2,5,6] => 60 [1,4,3,2,6,5] => 10 [1,4,3,5,2,6] => 36 [1,4,3,5,6,2] => 24 [1,4,3,6,2,5] => 10 [1,4,3,6,5,2] => 6 [1,4,5,2,3,6] => 72 [1,4,5,2,6,3] => 36 [1,4,5,3,2,6] => 24 [1,4,5,3,6,2] => 16 [1,4,5,6,2,3] => 36 [1,4,5,6,3,2] => 12 [1,4,6,2,3,5] => 30 [1,4,6,2,5,3] => 12 [1,4,6,3,2,5] => 10 [1,4,6,3,5,2] => 6 [1,4,6,5,2,3] => 12 [1,4,6,5,3,2] => 4 [1,5,2,3,4,6] => 144 [1,5,2,3,6,4] => 48 [1,5,2,4,3,6] => 36 [1,5,2,4,6,3] => 18 [1,5,2,6,3,4] => 48 [1,5,2,6,4,3] => 12 [1,5,3,2,4,6] => 48 [1,5,3,2,6,4] => 16 [1,5,3,4,2,6] => 24 [1,5,3,4,6,2] => 16 [1,5,3,6,2,4] => 16 [1,5,3,6,4,2] => 8 [1,5,4,2,3,6] => 36 [1,5,4,2,6,3] => 18 [1,5,4,3,2,6] => 12 [1,5,4,3,6,2] => 8 [1,5,4,6,2,3] => 18 [1,5,4,6,3,2] => 6 [1,5,6,2,3,4] => 48 [1,5,6,2,4,3] => 12 [1,5,6,3,2,4] => 16 [1,5,6,3,4,2] => 8 [1,5,6,4,2,3] => 12 [1,5,6,4,3,2] => 4 [1,6,2,3,4,5] => 120 [1,6,2,3,5,4] => 24 [1,6,2,4,3,5] => 30 [1,6,2,4,5,3] => 12 [1,6,2,5,3,4] => 24 [1,6,2,5,4,3] => 6 [1,6,3,2,4,5] => 40 [1,6,3,2,5,4] => 8 [1,6,3,4,2,5] => 20 [1,6,3,4,5,2] => 12 [1,6,3,5,2,4] => 8 [1,6,3,5,4,2] => 4 [1,6,4,2,3,5] => 30 [1,6,4,2,5,3] => 12 [1,6,4,3,2,5] => 10 [1,6,4,3,5,2] => 6 [1,6,4,5,2,3] => 12 [1,6,4,5,3,2] => 4 [1,6,5,2,3,4] => 24 [1,6,5,2,4,3] => 6 [1,6,5,3,2,4] => 8 [1,6,5,3,4,2] => 4 [1,6,5,4,2,3] => 6 [1,6,5,4,3,2] => 2 [2,1,3,4,5,6] => 360 [2,1,3,4,6,5] => 60 [2,1,3,5,4,6] => 72 [2,1,3,5,6,4] => 24 [2,1,3,6,4,5] => 60 [2,1,3,6,5,4] => 12 [2,1,4,3,5,6] => 90 [2,1,4,3,6,5] => 15 [2,1,4,5,3,6] => 36 [2,1,4,5,6,3] => 18 [2,1,4,6,3,5] => 15 [2,1,4,6,5,3] => 6 [2,1,5,3,4,6] => 72 [2,1,5,3,6,4] => 24 [2,1,5,4,3,6] => 18 [2,1,5,4,6,3] => 9 [2,1,5,6,3,4] => 24 [2,1,5,6,4,3] => 6 [2,1,6,3,4,5] => 60 [2,1,6,3,5,4] => 12 [2,1,6,4,3,5] => 15 [2,1,6,4,5,3] => 6 [2,1,6,5,3,4] => 12 [2,1,6,5,4,3] => 3 [2,3,1,4,5,6] => 240 [2,3,1,4,6,5] => 40 [2,3,1,5,4,6] => 48 [2,3,1,5,6,4] => 16 [2,3,1,6,4,5] => 40 [2,3,1,6,5,4] => 8 [2,3,4,1,5,6] => 180 [2,3,4,1,6,5] => 30 [2,3,4,5,1,6] => 144 [2,3,4,5,6,1] => 120 [2,3,4,6,1,5] => 30 [2,3,4,6,5,1] => 24 [2,3,5,1,4,6] => 48 [2,3,5,1,6,4] => 16 [2,3,5,4,1,6] => 36 [2,3,5,4,6,1] => 30 [2,3,5,6,1,4] => 16 [2,3,5,6,4,1] => 12 [2,3,6,1,4,5] => 40 [2,3,6,1,5,4] => 8 [2,3,6,4,1,5] => 30 [2,3,6,4,5,1] => 24 [2,3,6,5,1,4] => 8 [2,3,6,5,4,1] => 6 [2,4,1,3,5,6] => 90 [2,4,1,3,6,5] => 15 [2,4,1,5,3,6] => 36 [2,4,1,5,6,3] => 18 [2,4,1,6,3,5] => 15 [2,4,1,6,5,3] => 6 [2,4,3,1,5,6] => 60 [2,4,3,1,6,5] => 10 [2,4,3,5,1,6] => 48 [2,4,3,5,6,1] => 40 [2,4,3,6,1,5] => 10 [2,4,3,6,5,1] => 8 [2,4,5,1,3,6] => 36 [2,4,5,1,6,3] => 18 [2,4,5,3,1,6] => 24 [2,4,5,3,6,1] => 20 [2,4,5,6,1,3] => 18 [2,4,5,6,3,1] => 12 [2,4,6,1,3,5] => 15 [2,4,6,1,5,3] => 6 [2,4,6,3,1,5] => 10 [2,4,6,3,5,1] => 8 [2,4,6,5,1,3] => 6 [2,4,6,5,3,1] => 4 [2,5,1,3,4,6] => 72 [2,5,1,3,6,4] => 24 [2,5,1,4,3,6] => 18 [2,5,1,4,6,3] => 9 [2,5,1,6,3,4] => 24 [2,5,1,6,4,3] => 6 [2,5,3,1,4,6] => 48 [2,5,3,1,6,4] => 16 [2,5,3,4,1,6] => 36 [2,5,3,4,6,1] => 30 [2,5,3,6,1,4] => 16 [2,5,3,6,4,1] => 12 [2,5,4,1,3,6] => 18 [2,5,4,1,6,3] => 9 [2,5,4,3,1,6] => 12 [2,5,4,3,6,1] => 10 [2,5,4,6,1,3] => 9 [2,5,4,6,3,1] => 6 [2,5,6,1,3,4] => 24 [2,5,6,1,4,3] => 6 [2,5,6,3,1,4] => 16 [2,5,6,3,4,1] => 12 [2,5,6,4,1,3] => 6 [2,5,6,4,3,1] => 4 [2,6,1,3,4,5] => 60 [2,6,1,3,5,4] => 12 [2,6,1,4,3,5] => 15 [2,6,1,4,5,3] => 6 [2,6,1,5,3,4] => 12 [2,6,1,5,4,3] => 3 [2,6,3,1,4,5] => 40 [2,6,3,1,5,4] => 8 [2,6,3,4,1,5] => 30 [2,6,3,4,5,1] => 24 [2,6,3,5,1,4] => 8 [2,6,3,5,4,1] => 6 [2,6,4,1,3,5] => 15 [2,6,4,1,5,3] => 6 [2,6,4,3,1,5] => 10 [2,6,4,3,5,1] => 8 [2,6,4,5,1,3] => 6 [2,6,4,5,3,1] => 4 [2,6,5,1,3,4] => 12 [2,6,5,1,4,3] => 3 [2,6,5,3,1,4] => 8 [2,6,5,3,4,1] => 6 [2,6,5,4,1,3] => 3 [2,6,5,4,3,1] => 2 [3,1,2,4,5,6] => 240 [3,1,2,4,6,5] => 40 [3,1,2,5,4,6] => 48 [3,1,2,5,6,4] => 16 [3,1,2,6,4,5] => 40 [3,1,2,6,5,4] => 8 [3,1,4,2,5,6] => 120 [3,1,4,2,6,5] => 20 [3,1,4,5,2,6] => 72 [3,1,4,5,6,2] => 48 [3,1,4,6,2,5] => 20 [3,1,4,6,5,2] => 12 [3,1,5,2,4,6] => 48 [3,1,5,2,6,4] => 16 [3,1,5,4,2,6] => 24 [3,1,5,4,6,2] => 16 [3,1,5,6,2,4] => 16 [3,1,5,6,4,2] => 8 [3,1,6,2,4,5] => 40 [3,1,6,2,5,4] => 8 [3,1,6,4,2,5] => 20 [3,1,6,4,5,2] => 12 [3,1,6,5,2,4] => 8 [3,1,6,5,4,2] => 4 [3,2,1,4,5,6] => 120 [3,2,1,4,6,5] => 20 [3,2,1,5,4,6] => 24 [3,2,1,5,6,4] => 8 [3,2,1,6,4,5] => 20 [3,2,1,6,5,4] => 4 [3,2,4,1,5,6] => 90 [3,2,4,1,6,5] => 15 [3,2,4,5,1,6] => 72 [3,2,4,5,6,1] => 60 [3,2,4,6,1,5] => 15 [3,2,4,6,5,1] => 12 [3,2,5,1,4,6] => 24 [3,2,5,1,6,4] => 8 [3,2,5,4,1,6] => 18 [3,2,5,4,6,1] => 15 [3,2,5,6,1,4] => 8 [3,2,5,6,4,1] => 6 [3,2,6,1,4,5] => 20 [3,2,6,1,5,4] => 4 [3,2,6,4,1,5] => 15 [3,2,6,4,5,1] => 12 [3,2,6,5,1,4] => 4 [3,2,6,5,4,1] => 3 [3,4,1,2,5,6] => 120 [3,4,1,2,6,5] => 20 [3,4,1,5,2,6] => 72 [3,4,1,5,6,2] => 48 [3,4,1,6,2,5] => 20 [3,4,1,6,5,2] => 12 [3,4,2,1,5,6] => 60 [3,4,2,1,6,5] => 10 [3,4,2,5,1,6] => 48 [3,4,2,5,6,1] => 40 [3,4,2,6,1,5] => 10 [3,4,2,6,5,1] => 8 [3,4,5,1,2,6] => 72 [3,4,5,1,6,2] => 48 [3,4,5,2,1,6] => 36 [3,4,5,2,6,1] => 30 [3,4,5,6,1,2] => 48 [3,4,5,6,2,1] => 24 [3,4,6,1,2,5] => 20 [3,4,6,1,5,2] => 12 [3,4,6,2,1,5] => 10 [3,4,6,2,5,1] => 8 [3,4,6,5,1,2] => 12 [3,4,6,5,2,1] => 6 [3,5,1,2,4,6] => 48 [3,5,1,2,6,4] => 16 [3,5,1,4,2,6] => 24 [3,5,1,4,6,2] => 16 [3,5,1,6,2,4] => 16 [3,5,1,6,4,2] => 8 [3,5,2,1,4,6] => 24 [3,5,2,1,6,4] => 8 [3,5,2,4,1,6] => 18 [3,5,2,4,6,1] => 15 [3,5,2,6,1,4] => 8 [3,5,2,6,4,1] => 6 [3,5,4,1,2,6] => 24 [3,5,4,1,6,2] => 16 [3,5,4,2,1,6] => 12 [3,5,4,2,6,1] => 10 [3,5,4,6,1,2] => 16 [3,5,4,6,2,1] => 8 [3,5,6,1,2,4] => 16 [3,5,6,1,4,2] => 8 [3,5,6,2,1,4] => 8 [3,5,6,2,4,1] => 6 [3,5,6,4,1,2] => 8 [3,5,6,4,2,1] => 4 [3,6,1,2,4,5] => 40 [3,6,1,2,5,4] => 8 [3,6,1,4,2,5] => 20 [3,6,1,4,5,2] => 12 [3,6,1,5,2,4] => 8 [3,6,1,5,4,2] => 4 [3,6,2,1,4,5] => 20 [3,6,2,1,5,4] => 4 [3,6,2,4,1,5] => 15 [3,6,2,4,5,1] => 12 [3,6,2,5,1,4] => 4 [3,6,2,5,4,1] => 3 [3,6,4,1,2,5] => 20 [3,6,4,1,5,2] => 12 [3,6,4,2,1,5] => 10 [3,6,4,2,5,1] => 8 [3,6,4,5,1,2] => 12 [3,6,4,5,2,1] => 6 [3,6,5,1,2,4] => 8 [3,6,5,1,4,2] => 4 [3,6,5,2,1,4] => 4 [3,6,5,2,4,1] => 3 [3,6,5,4,1,2] => 4 [3,6,5,4,2,1] => 2 [4,1,2,3,5,6] => 180 [4,1,2,3,6,5] => 30 [4,1,2,5,3,6] => 72 [4,1,2,5,6,3] => 36 [4,1,2,6,3,5] => 30 [4,1,2,6,5,3] => 12 [4,1,3,2,5,6] => 60 [4,1,3,2,6,5] => 10 [4,1,3,5,2,6] => 36 [4,1,3,5,6,2] => 24 [4,1,3,6,2,5] => 10 [4,1,3,6,5,2] => 6 [4,1,5,2,3,6] => 72 [4,1,5,2,6,3] => 36 [4,1,5,3,2,6] => 24 [4,1,5,3,6,2] => 16 [4,1,5,6,2,3] => 36 [4,1,5,6,3,2] => 12 [4,1,6,2,3,5] => 30 [4,1,6,2,5,3] => 12 [4,1,6,3,2,5] => 10 [4,1,6,3,5,2] => 6 [4,1,6,5,2,3] => 12 [4,1,6,5,3,2] => 4 [4,2,1,3,5,6] => 90 [4,2,1,3,6,5] => 15 [4,2,1,5,3,6] => 36 [4,2,1,5,6,3] => 18 [4,2,1,6,3,5] => 15 [4,2,1,6,5,3] => 6 [4,2,3,1,5,6] => 60 [4,2,3,1,6,5] => 10 [4,2,3,5,1,6] => 48 [4,2,3,5,6,1] => 40 [4,2,3,6,1,5] => 10 [4,2,3,6,5,1] => 8 [4,2,5,1,3,6] => 36 [4,2,5,1,6,3] => 18 [4,2,5,3,1,6] => 24 [4,2,5,3,6,1] => 20 [4,2,5,6,1,3] => 18 [4,2,5,6,3,1] => 12 [4,2,6,1,3,5] => 15 [4,2,6,1,5,3] => 6 [4,2,6,3,1,5] => 10 [4,2,6,3,5,1] => 8 [4,2,6,5,1,3] => 6 [4,2,6,5,3,1] => 4 [4,3,1,2,5,6] => 60 [4,3,1,2,6,5] => 10 [4,3,1,5,2,6] => 36 [4,3,1,5,6,2] => 24 [4,3,1,6,2,5] => 10 [4,3,1,6,5,2] => 6 [4,3,2,1,5,6] => 30 [4,3,2,1,6,5] => 5 [4,3,2,5,1,6] => 24 [4,3,2,5,6,1] => 20 [4,3,2,6,1,5] => 5 [4,3,2,6,5,1] => 4 [4,3,5,1,2,6] => 36 [4,3,5,1,6,2] => 24 [4,3,5,2,1,6] => 18 [4,3,5,2,6,1] => 15 [4,3,5,6,1,2] => 24 [4,3,5,6,2,1] => 12 [4,3,6,1,2,5] => 10 [4,3,6,1,5,2] => 6 [4,3,6,2,1,5] => 5 [4,3,6,2,5,1] => 4 [4,3,6,5,1,2] => 6 [4,3,6,5,2,1] => 3 [4,5,1,2,3,6] => 72 [4,5,1,2,6,3] => 36 [4,5,1,3,2,6] => 24 [4,5,1,3,6,2] => 16 [4,5,1,6,2,3] => 36 [4,5,1,6,3,2] => 12 [4,5,2,1,3,6] => 36 [4,5,2,1,6,3] => 18 [4,5,2,3,1,6] => 24 [4,5,2,3,6,1] => 20 [4,5,2,6,1,3] => 18 [4,5,2,6,3,1] => 12 [4,5,3,1,2,6] => 24 [4,5,3,1,6,2] => 16 [4,5,3,2,1,6] => 12 [4,5,3,2,6,1] => 10 [4,5,3,6,1,2] => 16 [4,5,3,6,2,1] => 8 [4,5,6,1,2,3] => 36 [4,5,6,1,3,2] => 12 [4,5,6,2,1,3] => 18 [4,5,6,2,3,1] => 12 [4,5,6,3,1,2] => 12 [4,5,6,3,2,1] => 6 [4,6,1,2,3,5] => 30 [4,6,1,2,5,3] => 12 [4,6,1,3,2,5] => 10 [4,6,1,3,5,2] => 6 [4,6,1,5,2,3] => 12 [4,6,1,5,3,2] => 4 [4,6,2,1,3,5] => 15 [4,6,2,1,5,3] => 6 [4,6,2,3,1,5] => 10 [4,6,2,3,5,1] => 8 [4,6,2,5,1,3] => 6 [4,6,2,5,3,1] => 4 [4,6,3,1,2,5] => 10 [4,6,3,1,5,2] => 6 [4,6,3,2,1,5] => 5 [4,6,3,2,5,1] => 4 [4,6,3,5,1,2] => 6 [4,6,3,5,2,1] => 3 [4,6,5,1,2,3] => 12 [4,6,5,1,3,2] => 4 [4,6,5,2,1,3] => 6 [4,6,5,2,3,1] => 4 [4,6,5,3,1,2] => 4 [4,6,5,3,2,1] => 2 [5,1,2,3,4,6] => 144 [5,1,2,3,6,4] => 48 [5,1,2,4,3,6] => 36 [5,1,2,4,6,3] => 18 [5,1,2,6,3,4] => 48 [5,1,2,6,4,3] => 12 [5,1,3,2,4,6] => 48 [5,1,3,2,6,4] => 16 [5,1,3,4,2,6] => 24 [5,1,3,4,6,2] => 16 [5,1,3,6,2,4] => 16 [5,1,3,6,4,2] => 8 [5,1,4,2,3,6] => 36 [5,1,4,2,6,3] => 18 [5,1,4,3,2,6] => 12 [5,1,4,3,6,2] => 8 [5,1,4,6,2,3] => 18 [5,1,4,6,3,2] => 6 [5,1,6,2,3,4] => 48 [5,1,6,2,4,3] => 12 [5,1,6,3,2,4] => 16 [5,1,6,3,4,2] => 8 [5,1,6,4,2,3] => 12 [5,1,6,4,3,2] => 4 [5,2,1,3,4,6] => 72 [5,2,1,3,6,4] => 24 [5,2,1,4,3,6] => 18 [5,2,1,4,6,3] => 9 [5,2,1,6,3,4] => 24 [5,2,1,6,4,3] => 6 [5,2,3,1,4,6] => 48 [5,2,3,1,6,4] => 16 [5,2,3,4,1,6] => 36 [5,2,3,4,6,1] => 30 [5,2,3,6,1,4] => 16 [5,2,3,6,4,1] => 12 [5,2,4,1,3,6] => 18 [5,2,4,1,6,3] => 9 [5,2,4,3,1,6] => 12 [5,2,4,3,6,1] => 10 [5,2,4,6,1,3] => 9 [5,2,4,6,3,1] => 6 [5,2,6,1,3,4] => 24 [5,2,6,1,4,3] => 6 [5,2,6,3,1,4] => 16 [5,2,6,3,4,1] => 12 [5,2,6,4,1,3] => 6 [5,2,6,4,3,1] => 4 [5,3,1,2,4,6] => 48 [5,3,1,2,6,4] => 16 [5,3,1,4,2,6] => 24 [5,3,1,4,6,2] => 16 [5,3,1,6,2,4] => 16 [5,3,1,6,4,2] => 8 [5,3,2,1,4,6] => 24 [5,3,2,1,6,4] => 8 [5,3,2,4,1,6] => 18 [5,3,2,4,6,1] => 15 [5,3,2,6,1,4] => 8 [5,3,2,6,4,1] => 6 [5,3,4,1,2,6] => 24 [5,3,4,1,6,2] => 16 [5,3,4,2,1,6] => 12 [5,3,4,2,6,1] => 10 [5,3,4,6,1,2] => 16 [5,3,4,6,2,1] => 8 [5,3,6,1,2,4] => 16 [5,3,6,1,4,2] => 8 [5,3,6,2,1,4] => 8 [5,3,6,2,4,1] => 6 [5,3,6,4,1,2] => 8 [5,3,6,4,2,1] => 4 [5,4,1,2,3,6] => 36 [5,4,1,2,6,3] => 18 [5,4,1,3,2,6] => 12 [5,4,1,3,6,2] => 8 [5,4,1,6,2,3] => 18 [5,4,1,6,3,2] => 6 [5,4,2,1,3,6] => 18 [5,4,2,1,6,3] => 9 [5,4,2,3,1,6] => 12 [5,4,2,3,6,1] => 10 [5,4,2,6,1,3] => 9 [5,4,2,6,3,1] => 6 [5,4,3,1,2,6] => 12 [5,4,3,1,6,2] => 8 [5,4,3,2,1,6] => 6 [5,4,3,2,6,1] => 5 [5,4,3,6,1,2] => 8 [5,4,3,6,2,1] => 4 [5,4,6,1,2,3] => 18 [5,4,6,1,3,2] => 6 [5,4,6,2,1,3] => 9 [5,4,6,2,3,1] => 6 [5,4,6,3,1,2] => 6 [5,4,6,3,2,1] => 3 [5,6,1,2,3,4] => 48 [5,6,1,2,4,3] => 12 [5,6,1,3,2,4] => 16 [5,6,1,3,4,2] => 8 [5,6,1,4,2,3] => 12 [5,6,1,4,3,2] => 4 [5,6,2,1,3,4] => 24 [5,6,2,1,4,3] => 6 [5,6,2,3,1,4] => 16 [5,6,2,3,4,1] => 12 [5,6,2,4,1,3] => 6 [5,6,2,4,3,1] => 4 [5,6,3,1,2,4] => 16 [5,6,3,1,4,2] => 8 [5,6,3,2,1,4] => 8 [5,6,3,2,4,1] => 6 [5,6,3,4,1,2] => 8 [5,6,3,4,2,1] => 4 [5,6,4,1,2,3] => 12 [5,6,4,1,3,2] => 4 [5,6,4,2,1,3] => 6 [5,6,4,2,3,1] => 4 [5,6,4,3,1,2] => 4 [5,6,4,3,2,1] => 2 [6,1,2,3,4,5] => 120 [6,1,2,3,5,4] => 24 [6,1,2,4,3,5] => 30 [6,1,2,4,5,3] => 12 [6,1,2,5,3,4] => 24 [6,1,2,5,4,3] => 6 [6,1,3,2,4,5] => 40 [6,1,3,2,5,4] => 8 [6,1,3,4,2,5] => 20 [6,1,3,4,5,2] => 12 [6,1,3,5,2,4] => 8 [6,1,3,5,4,2] => 4 [6,1,4,2,3,5] => 30 [6,1,4,2,5,3] => 12 [6,1,4,3,2,5] => 10 [6,1,4,3,5,2] => 6 [6,1,4,5,2,3] => 12 [6,1,4,5,3,2] => 4 [6,1,5,2,3,4] => 24 [6,1,5,2,4,3] => 6 [6,1,5,3,2,4] => 8 [6,1,5,3,4,2] => 4 [6,1,5,4,2,3] => 6 [6,1,5,4,3,2] => 2 [6,2,1,3,4,5] => 60 [6,2,1,3,5,4] => 12 [6,2,1,4,3,5] => 15 [6,2,1,4,5,3] => 6 [6,2,1,5,3,4] => 12 [6,2,1,5,4,3] => 3 [6,2,3,1,4,5] => 40 [6,2,3,1,5,4] => 8 [6,2,3,4,1,5] => 30 [6,2,3,4,5,1] => 24 [6,2,3,5,1,4] => 8 [6,2,3,5,4,1] => 6 [6,2,4,1,3,5] => 15 [6,2,4,1,5,3] => 6 [6,2,4,3,1,5] => 10 [6,2,4,3,5,1] => 8 [6,2,4,5,1,3] => 6 [6,2,4,5,3,1] => 4 [6,2,5,1,3,4] => 12 [6,2,5,1,4,3] => 3 [6,2,5,3,1,4] => 8 [6,2,5,3,4,1] => 6 [6,2,5,4,1,3] => 3 [6,2,5,4,3,1] => 2 [6,3,1,2,4,5] => 40 [6,3,1,2,5,4] => 8 [6,3,1,4,2,5] => 20 [6,3,1,4,5,2] => 12 [6,3,1,5,2,4] => 8 [6,3,1,5,4,2] => 4 [6,3,2,1,4,5] => 20 [6,3,2,1,5,4] => 4 [6,3,2,4,1,5] => 15 [6,3,2,4,5,1] => 12 [6,3,2,5,1,4] => 4 [6,3,2,5,4,1] => 3 [6,3,4,1,2,5] => 20 [6,3,4,1,5,2] => 12 [6,3,4,2,1,5] => 10 [6,3,4,2,5,1] => 8 [6,3,4,5,1,2] => 12 [6,3,4,5,2,1] => 6 [6,3,5,1,2,4] => 8 [6,3,5,1,4,2] => 4 [6,3,5,2,1,4] => 4 [6,3,5,2,4,1] => 3 [6,3,5,4,1,2] => 4 [6,3,5,4,2,1] => 2 [6,4,1,2,3,5] => 30 [6,4,1,2,5,3] => 12 [6,4,1,3,2,5] => 10 [6,4,1,3,5,2] => 6 [6,4,1,5,2,3] => 12 [6,4,1,5,3,2] => 4 [6,4,2,1,3,5] => 15 [6,4,2,1,5,3] => 6 [6,4,2,3,1,5] => 10 [6,4,2,3,5,1] => 8 [6,4,2,5,1,3] => 6 [6,4,2,5,3,1] => 4 [6,4,3,1,2,5] => 10 [6,4,3,1,5,2] => 6 [6,4,3,2,1,5] => 5 [6,4,3,2,5,1] => 4 [6,4,3,5,1,2] => 6 [6,4,3,5,2,1] => 3 [6,4,5,1,2,3] => 12 [6,4,5,1,3,2] => 4 [6,4,5,2,1,3] => 6 [6,4,5,2,3,1] => 4 [6,4,5,3,1,2] => 4 [6,4,5,3,2,1] => 2 [6,5,1,2,3,4] => 24 [6,5,1,2,4,3] => 6 [6,5,1,3,2,4] => 8 [6,5,1,3,4,2] => 4 [6,5,1,4,2,3] => 6 [6,5,1,4,3,2] => 2 [6,5,2,1,3,4] => 12 [6,5,2,1,4,3] => 3 [6,5,2,3,1,4] => 8 [6,5,2,3,4,1] => 6 [6,5,2,4,1,3] => 3 [6,5,2,4,3,1] => 2 [6,5,3,1,2,4] => 8 [6,5,3,1,4,2] => 4 [6,5,3,2,1,4] => 4 [6,5,3,2,4,1] => 3 [6,5,3,4,1,2] => 4 [6,5,3,4,2,1] => 2 [6,5,4,1,2,3] => 6 [6,5,4,1,3,2] => 2 [6,5,4,2,1,3] => 3 [6,5,4,2,3,1] => 2 [6,5,4,3,1,2] => 2 [6,5,4,3,2,1] => 1 ----------------------------------------------------------------------------- Created: Jan 26, 2019 at 13:10 by Raman Sanyal ----------------------------------------------------------------------------- Last Updated: Jan 26, 2019 at 13:10 by Raman Sanyal