***************************************************************************** * 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: St001814 ----------------------------------------------------------------------------- Collection: Integer partitions ----------------------------------------------------------------------------- Description: The number of partitions interlacing the given partition. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def statistic(la): la = list(la) + [0] return prod(la[i] - la[i+1] + 1 for i in range(len(la)-1)) ----------------------------------------------------------------------------- Statistic values: [] => 1 [1] => 2 [2] => 3 [1,1] => 2 [3] => 4 [2,1] => 4 [1,1,1] => 2 [4] => 5 [3,1] => 6 [2,2] => 3 [2,1,1] => 4 [1,1,1,1] => 2 [5] => 6 [4,1] => 8 [3,2] => 6 [3,1,1] => 6 [2,2,1] => 4 [2,1,1,1] => 4 [1,1,1,1,1] => 2 [6] => 7 [5,1] => 10 [4,2] => 9 [4,1,1] => 8 [3,3] => 4 [3,2,1] => 8 [3,1,1,1] => 6 [2,2,2] => 3 [2,2,1,1] => 4 [2,1,1,1,1] => 4 [1,1,1,1,1,1] => 2 [7] => 8 [6,1] => 12 [5,2] => 12 [5,1,1] => 10 [4,3] => 8 [4,2,1] => 12 [4,1,1,1] => 8 [3,3,1] => 6 [3,2,2] => 6 [3,2,1,1] => 8 [3,1,1,1,1] => 6 [2,2,2,1] => 4 [2,2,1,1,1] => 4 [2,1,1,1,1,1] => 4 [1,1,1,1,1,1,1] => 2 [8] => 9 [7,1] => 14 [6,2] => 15 [6,1,1] => 12 [5,3] => 12 [5,2,1] => 16 [5,1,1,1] => 10 [4,4] => 5 [4,3,1] => 12 [4,2,2] => 9 [4,2,1,1] => 12 [4,1,1,1,1] => 8 [3,3,2] => 6 [3,3,1,1] => 6 [3,2,2,1] => 8 [3,2,1,1,1] => 8 [3,1,1,1,1,1] => 6 [2,2,2,2] => 3 [2,2,2,1,1] => 4 [2,2,1,1,1,1] => 4 [2,1,1,1,1,1,1] => 4 [1,1,1,1,1,1,1,1] => 2 [9] => 10 [8,1] => 16 [7,2] => 18 [7,1,1] => 14 [6,3] => 16 [6,2,1] => 20 [6,1,1,1] => 12 [5,4] => 10 [5,3,1] => 18 [5,2,2] => 12 [5,2,1,1] => 16 [5,1,1,1,1] => 10 [4,4,1] => 8 [4,3,2] => 12 [4,3,1,1] => 12 [4,2,2,1] => 12 [4,2,1,1,1] => 12 [4,1,1,1,1,1] => 8 [3,3,3] => 4 [3,3,2,1] => 8 [3,3,1,1,1] => 6 [3,2,2,2] => 6 [3,2,2,1,1] => 8 [3,2,1,1,1,1] => 8 [3,1,1,1,1,1,1] => 6 [2,2,2,2,1] => 4 [2,2,2,1,1,1] => 4 [2,2,1,1,1,1,1] => 4 [2,1,1,1,1,1,1,1] => 4 [1,1,1,1,1,1,1,1,1] => 2 [10] => 11 [9,1] => 18 [8,2] => 21 [8,1,1] => 16 [7,3] => 20 [7,2,1] => 24 [7,1,1,1] => 14 [6,4] => 15 [6,3,1] => 24 [6,2,2] => 15 [6,2,1,1] => 20 [6,1,1,1,1] => 12 [5,5] => 6 [5,4,1] => 16 [5,3,2] => 18 [5,3,1,1] => 18 [5,2,2,1] => 16 [5,2,1,1,1] => 16 [5,1,1,1,1,1] => 10 [4,4,2] => 9 [4,4,1,1] => 8 [4,3,3] => 8 [4,3,2,1] => 16 [4,3,1,1,1] => 12 [4,2,2,2] => 9 [4,2,2,1,1] => 12 [4,2,1,1,1,1] => 12 [4,1,1,1,1,1,1] => 8 [3,3,3,1] => 6 [3,3,2,2] => 6 [3,3,2,1,1] => 8 [3,3,1,1,1,1] => 6 [3,2,2,2,1] => 8 [3,2,2,1,1,1] => 8 [3,2,1,1,1,1,1] => 8 [3,1,1,1,1,1,1,1] => 6 [2,2,2,2,2] => 3 [2,2,2,2,1,1] => 4 [2,2,2,1,1,1,1] => 4 [2,2,1,1,1,1,1,1] => 4 [2,1,1,1,1,1,1,1,1] => 4 [1,1,1,1,1,1,1,1,1,1] => 2 [11] => 12 [10,1] => 20 [9,1,1] => 18 [8,3] => 24 [8,2,1] => 28 [8,1,1,1] => 16 [7,4] => 20 [7,2,2] => 18 [7,1,1,1,1] => 14 [6,5] => 12 [6,4,1] => 24 [6,3,2] => 24 [6,3,1,1] => 24 [6,2,2,1] => 20 [6,1,1,1,1,1] => 12 [5,5,1] => 10 [5,4,2] => 18 [5,4,1,1] => 16 [5,3,3] => 12 [5,3,2,1] => 24 [5,3,1,1,1] => 18 [5,2,2,2] => 12 [5,2,2,1,1] => 16 [5,2,1,1,1,1] => 16 [5,1,1,1,1,1,1] => 10 [4,4,3] => 8 [4,4,2,1] => 12 [4,4,1,1,1] => 8 [4,3,3,1] => 12 [4,3,2,2] => 12 [4,3,2,1,1] => 16 [4,3,1,1,1,1] => 12 [4,2,2,2,1] => 12 [4,1,1,1,1,1,1,1] => 8 [3,3,3,2] => 6 [3,3,3,1,1] => 6 [3,3,2,2,1] => 8 [3,3,1,1,1,1,1] => 6 [3,2,2,2,2] => 6 [3,2,2,2,1,1] => 8 [3,2,2,1,1,1,1] => 8 [3,2,1,1,1,1,1,1] => 8 [3,1,1,1,1,1,1,1,1] => 6 [2,2,2,2,2,1] => 4 [2,2,2,2,1,1,1] => 4 [2,2,2,1,1,1,1,1] => 4 [2,2,1,1,1,1,1,1,1] => 4 [2,1,1,1,1,1,1,1,1,1] => 4 [1,1,1,1,1,1,1,1,1,1,1] => 2 [12] => 13 [11,1] => 22 [10,2] => 27 [10,1,1] => 20 [9,3] => 28 [8,4] => 25 [8,3,1] => 36 [8,2,2] => 21 [8,2,1,1] => 28 [8,1,1,1,1] => 16 [7,5] => 18 [7,4,1] => 32 [6,6] => 7 [6,5,1] => 20 [6,4,2] => 27 [6,4,1,1] => 24 [6,3,3] => 16 [6,3,1,1,1] => 24 [6,2,2,2] => 15 [6,2,2,1,1] => 20 [6,2,1,1,1,1] => 20 [6,1,1,1,1,1,1] => 12 [5,5,2] => 12 [5,5,1,1] => 10 [5,4,3] => 16 [5,4,2,1] => 24 [5,4,1,1,1] => 16 [5,3,3,1] => 18 [5,3,2,2] => 18 [5,3,2,1,1] => 24 [5,3,1,1,1,1] => 18 [5,2,2,2,1] => 16 [5,2,2,1,1,1] => 16 [5,2,1,1,1,1,1] => 16 [5,1,1,1,1,1,1,1] => 10 [4,4,4] => 5 [4,4,3,1] => 12 [4,4,2,2] => 9 [4,4,2,1,1] => 12 [4,3,3,2] => 12 [4,3,3,1,1] => 12 [4,3,2,2,1] => 16 [4,3,1,1,1,1,1] => 12 [3,3,3,3] => 4 [3,3,3,2,1] => 8 [3,3,2,2,2] => 6 [3,3,2,2,1,1] => 8 [3,3,1,1,1,1,1,1] => 6 [3,2,2,2,2,1] => 8 [3,2,2,1,1,1,1,1] => 8 [2,2,2,2,2,2] => 3 [2,2,2,2,2,1,1] => 4 [2,2,2,2,1,1,1,1] => 4 [2,2,1,1,1,1,1,1,1,1] => 4 [1,1,1,1,1,1,1,1,1,1,1,1] => 2 [13] => 14 [12,1] => 24 [10,3] => 32 [9,2,2] => 24 [8,5] => 24 [8,4,1] => 40 [8,3,2] => 36 [8,3,1,1] => 36 [7,6] => 14 [7,5,1] => 30 [7,4,2] => 36 [7,3,3] => 20 [6,6,1] => 12 [6,5,2] => 24 [6,5,1,1] => 20 [6,4,3] => 24 [6,4,2,1] => 36 [6,3,2,2] => 24 [6,3,1,1,1,1] => 24 [6,2,2,1,1,1] => 20 [6,1,1,1,1,1,1,1] => 12 [5,5,3] => 12 [5,4,4] => 10 [5,4,3,1] => 24 [5,4,2,2] => 18 [5,4,2,1,1] => 24 [5,4,1,1,1,1] => 16 [5,3,3,2] => 18 [5,3,3,1,1] => 18 [5,3,2,2,1] => 24 [5,3,2,1,1,1] => 24 [5,3,1,1,1,1,1] => 18 [5,2,2,2,1,1] => 16 [5,2,2,1,1,1,1] => 16 [5,2,1,1,1,1,1,1] => 16 [4,4,4,1] => 8 [4,4,3,2] => 12 [4,4,3,1,1] => 12 [4,4,2,2,1] => 12 [4,3,3,3] => 8 [4,3,3,2,1] => 16 [3,3,3,3,1] => 6 [3,3,3,2,2] => 6 [3,3,2,2,2,1] => 8 [3,3,2,1,1,1,1,1] => 8 [3,2,2,2,2,2] => 6 [3,2,2,2,2,1,1] => 8 [3,1,1,1,1,1,1,1,1,1,1] => 6 [2,2,2,2,2,2,1] => 4 [2,2,2,2,1,1,1,1,1] => 4 [1,1,1,1,1,1,1,1,1,1,1,1,1] => 2 [14] => 15 [13,1] => 26 [12,2] => 33 [12,1,1] => 24 [9,5] => 30 [8,6] => 21 [8,5,1] => 40 [8,4,2] => 45 [8,3,1,1,1] => 36 [7,7] => 8 [7,5,2] => 36 [7,4,3] => 32 [6,6,2] => 15 [6,6,1,1] => 12 [6,5,3] => 24 [6,5,1,1,1] => 20 [6,4,4] => 15 [6,4,2,2] => 27 [6,2,2,2,2] => 15 [6,1,1,1,1,1,1,1,1] => 12 [5,5,4] => 10 [5,5,1,1,1,1] => 10 [5,4,3,2] => 24 [5,4,3,1,1] => 24 [5,4,2,2,1] => 24 [5,4,2,1,1,1] => 24 [5,4,1,1,1,1,1] => 16 [5,3,3,3] => 12 [5,3,3,2,1] => 24 [5,3,2,2,2] => 18 [5,3,2,2,1,1] => 24 [5,3,2,1,1,1,1] => 24 [5,3,1,1,1,1,1,1] => 18 [5,2,2,2,2,1] => 16 [5,2,2,1,1,1,1,1] => 16 [4,4,4,2] => 9 [4,4,4,1,1] => 8 [4,4,3,3] => 8 [4,4,3,2,1] => 16 [4,3,2,2,2,1] => 16 [3,3,3,3,2] => 6 [3,3,3,3,1,1] => 6 [3,3,3,2,2,1] => 8 [3,3,2,2,2,2] => 6 [3,3,1,1,1,1,1,1,1,1] => 6 [3,2,2,2,2,1,1,1] => 8 [2,2,2,2,2,2,2] => 3 [1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 2 [15] => 16 [14,1] => 28 [12,3] => 40 [11,2,2] => 30 [9,6] => 28 [9,5,1] => 50 [8,7] => 16 [8,5,2] => 48 [7,5,3] => 36 [6,6,3] => 16 [6,5,4] => 20 [6,5,1,1,1,1] => 20 [6,4,3,1,1] => 36 [6,3,3,3] => 16 [6,3,1,1,1,1,1,1] => 24 [6,2,2,2,2,1] => 20 [5,5,5] => 6 [5,4,3,3] => 16 [5,4,3,2,1] => 32 [5,4,3,1,1,1] => 24 [5,3,2,2,2,1] => 24 [5,3,2,2,1,1,1] => 24 [5,3,1,1,1,1,1,1,1] => 18 [4,4,4,3] => 8 [4,4,4,1,1,1] => 8 [4,3,3,3,2] => 12 [3,3,3,3,3] => 4 [3,3,3,3,2,1] => 8 [3,3,3,2,2,2] => 6 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 2 [16] => 17 [15,1] => 30 [12,4] => 45 [12,1,1,1,1] => 24 [10,6] => 35 [8,8] => 9 [8,6,2] => 45 [8,5,3] => 48 [7,6,3] => 32 [7,5,3,1] => 54 [6,6,4] => 15 [6,6,2,2] => 15 [6,5,5] => 12 [6,4,3,3] => 24 [5,5,3,3] => 12 [5,5,2,2,2] => 12 [5,4,4,3] => 16 [5,4,3,2,1,1] => 32 [5,4,2,2,2,1] => 24 [4,4,4,4] => 5 [4,4,4,2,2] => 9 [4,4,3,3,2] => 12 [4,3,3,3,3] => 8 [4,3,3,3,2,1] => 16 [3,3,3,3,2,2] => 6 [3,3,3,3,1,1,1,1] => 6 [3,3,2,2,2,2,2] => 6 [2,2,2,2,2,2,2,2] => 3 [2,2,2,2,2,2,1,1,1,1] => 4 [2,2,2,2,1,1,1,1,1,1,1,1] => 4 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 2 [17] => 18 [9,8] => 18 [8,8,1] => 16 [8,6,3] => 48 [7,5,3,2] => 54 [6,5,3,3] => 24 [6,5,2,2,2] => 24 [6,4,4,3] => 24 [6,4,4,1,1,1] => 24 [6,3,3,3,2] => 24 [6,3,3,3,1,1] => 24 [5,5,4,3] => 16 [5,5,4,1,1,1] => 16 [5,5,2,2,2,1] => 16 [5,4,4,4] => 10 [5,4,3,2,2,1] => 32 [5,3,3,3,2,1] => 24 [4,4,4,3,2] => 12 [4,4,4,3,1,1] => 12 [4,4,4,2,2,1] => 12 [4,4,3,3,3] => 8 [3,3,3,3,3,2] => 6 [3,2,2,2,2,2,2,2] => 6 [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 6 [4,4,4,3,2,1] => 16 [5,4,3,3,2,1] => 32 [6,3,3,3,2,1] => 32 [6,5,2,2,2,1] => 32 [5,5,3,3,1,1] => 18 [6,5,4,1,1,1] => 32 [5,5,3,3,2] => 18 [5,5,4,2,2] => 18 [6,4,4,2,2] => 27 [6,5,4,3] => 32 [4,4,4,3,3] => 8 [4,4,4,4,2] => 9 [5,5,4,4] => 10 [6,4,4,4] => 15 [2,2,2,2,2,2,2,2,2] => 3 [3,3,3,3,3,3] => 4 [18] => 19 [6,2,2,2,2,2,2] => 15 [6,6,6] => 7 [4,2,2,2,2,2,2,2] => 9 [10,4,4] => 35 [9,6,3] => 64 [8,6,4] => 45 [10,8] => 27 [3,3,3,3,1,1,1,1,1,1] => 6 [9,9] => 10 [7,7,1,1,1,1] => 14 [5,4,4,3,2,1] => 32 [5,5,3,3,2,1] => 24 [5,5,4,2,2,1] => 24 [6,4,4,2,2,1] => 36 [5,5,4,3,1,1] => 24 [6,4,4,3,1,1] => 36 [6,5,3,3,1,1] => 36 [5,5,4,3,2] => 24 [6,4,4,3,2] => 36 [6,5,3,3,2] => 36 [6,5,4,2,2] => 36 [6,5,4,3,1] => 48 [6,5,4,1,1,1,1] => 32 [4,4,4,4,3] => 8 [4,3,3,3,3,3] => 8 [19] => 20 [7,2,2,2,2,2,2] => 18 [7,6,6] => 14 [5,2,2,2,2,2,2,2] => 12 [13,6] => 56 [11,4,4] => 40 [9,6,4] => 60 [8,5,4,2] => 72 [8,5,5,1] => 40 [5,5,4,3,2,1] => 32 [6,4,4,3,2,1] => 48 [6,5,3,3,2,1] => 48 [6,5,4,2,2,1] => 48 [6,5,4,3,1,1] => 48 [6,5,4,3,2] => 48 [6,5,2,2,2,2,1] => 32 [6,5,4,2,1,1,1] => 48 [6,6,2,2,2,2] => 15 [7,5,4,3,1] => 72 [2,2,2,2,2,2,2,2,2,2] => 3 [3,3,3,3,3,3,2] => 6 [4,4,3,3,3,3] => 8 [4,4,4,4,4] => 5 [5,5,5,5] => 6 [20] => 21 [10,10] => 11 [8,2,2,2,2,2,2] => 21 [8,6,4,2] => 81 [8,6,6] => 21 [10,6,4] => 75 [9,8,3] => 48 [6,6,6,2] => 15 [10,7,3] => 80 [9,7,4] => 60 [9,5,5,1] => 50 [6,5,4,3,2,1] => 64 [6,3,3,3,3,2,1] => 32 [6,5,3,2,2,2,1] => 48 [6,5,4,3,1,1,1] => 48 [7,6,2,2,2,2] => 30 [6,6,5,4] => 20 [3,3,3,3,3,3,3] => 4 [4,4,4,3,3,3] => 8 [21] => 22 [11,7,3] => 100 [5,4,2,2,2,2,2,2] => 18 [11,10] => 22 [13,4,4] => 50 [7,6,6,2] => 30 [4,4,4,4,3,2,1] => 16 [6,4,3,3,3,2,1] => 48 [6,5,4,2,2,2,1] => 48 [6,5,4,3,2,1,1] => 64 [4,4,4,4,3,3] => 8 [8,6,2,2,2,2] => 45 [22] => 23 [9,6,4,3] => 96 [8,7,7] => 16 [5,4,4,4,3,2,1] => 32 [6,5,3,3,3,2,1] => 48 [6,5,4,3,2,2,1] => 64 [15,2,2,2,2] => 42 [9,6,5,3] => 96 [8,6,5,3,1] => 108 [6,4,4,4,3,2,1] => 48 [6,5,4,3,3,2,1] => 64 [3,3,3,3,3,3,3,3] => 4 [4,4,4,4,4,4] => 5 [6,6,6,6] => 7 [24] => 25 [11,7,5,1] => 150 [9,7,5,3] => 108 [8,8,8] => 9 [17,7] => 88 [12,9,3] => 112 [5,5,5,4,3,2,1] => 32 [6,5,4,4,3,2,1] => 64 [7,6,6,6] => 14 [5,4,4,4,2,2,2,2] => 18 [13,12] => 26 [15,5,5] => 66 [9,7,5,3,1] => 162 [10,7,5,3] => 144 [3,3,3,3,3,1,1,1,1,1,1,1,1,1,1] => 6 [5,5,5,5,5] => 6 [12,10,3] => 96 [6,5,5,4,3,2,1] => 64 [6,6,4,3,3,2,2] => 36 [8,6,6,6] => 21 [9,7,5,4,1] => 144 [16,8,2] => 189 [6,6,5,4,3,2,1] => 64 [7,6,5,4,3,2] => 96 [3,3,3,3,3,3,3,3,3] => 4 [15,6,6] => 70 [7,6,5,4,3,2,1] => 128 [6,6,6,4,3,3] => 24 [4,3,3,3,3,3,3,3,3] => 8 [7,6,5,4,3,1,1,1] => 96 [10,7,6,4,1] => 192 [9,7,6,4,2] => 162 [10,8,5,4,1] => 192 [15,14] => 30 [7,6,5,4,3,2,1,1] => 128 [7,6,5,4,2,2,2,1] => 96 [10,8,6,4,1] => 216 [6,6,6,6,6] => 7 [15,15] => 16 [5,5,5,5,5,5] => 6 [6,6,6,6,3,3] => 16 [10,10,10] => 11 [9,7,5,5,3,1] => 162 [7,6,5,4,3,2,2,1] => 128 [7,6,5,3,3,3,2,1] => 96 [11,8,6,4,1] => 288 [10,8,6,4,2] => 243 [2,2,2,2,2,2,2,2,2,2,2,2,2,2,2] => 3 [7,6,6,6,6] => 14 [7,6,5,4,3,3,2,1] => 128 [7,6,4,4,4,3,2,1] => 96 [11,8,6,5,1] => 240 [10,10,9,2] => 48 [14,9,8] => 108 [4,4,4,4,4,4,4,4] => 5 [2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2] => 3 [7,6,5,4,4,3,2,1] => 128 [7,5,5,5,4,3,2,1] => 96 [16,16] => 17 [10,10,10,2] => 27 [16,8,4,2,2] => 405 [3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2] => 6 [5,4,4,4,4,4,4,4] => 10 [7,6,5,5,4,3,2,1] => 128 [6,6,6,5,4,3,2,1] => 64 [22,7,4] => 320 [12,12,4,3,2] => 108 [4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2] => 9 [7,6,6,5,4,3,2,1] => 128 [12,9,7,5,1] => 360 [7,2,2,2,2,2,2,2,2,2,2,2,2,2,2] => 18 [7,7,6,5,4,3,2,1] => 128 [13,9,7,5,1] => 450 [18,18] => 19 [24,12] => 169 [11,9,7,5,3,1] => 486 [11,8,7,5,4,1] => 384 [8,7,6,5,4,3,2,1] => 256 [8,7,7,7,7] => 16 [7,6,2,2,2,2,2,2,2,2,2,2,2,2] => 30 [7,6,6,6,6,6] => 14 [8,7,6,5,4,3,2,1,1] => 256 [8,7,6,5,4,3,2,2,1] => 256 [8,7,6,5,4,3,3,2,1] => 256 [10,10,10,10] => 11 [12,12,12,4] => 45 [8,7,6,5,4,4,3,2,1] => 256 [11,9,7,5,5,3] => 324 [4,4,4,4,4,4,4,4,4,4] => 5 [14,14,8,4] => 175 [7,6,6,6,2,2,2,2,2,2,2,2] => 30 [8,7,6,5,5,4,3,2,1] => 256 [9,9,9,9,3,3] => 28 [8,7,6,6,5,4,3,2,1] => 256 [10,10,10,5,5,2] => 72 [16,10,8,8] => 189 [26,9,7] => 432 [8,7,7,6,5,4,3,2,1] => 256 [8,8,7,6,5,4,3,2,1] => 256 [18,18,9] => 100 [9,8,7,6,5,4,3,2,1] => 512 [11,9,7,7,5,3,3] => 324 [48] => 49 [7,6,6,6,6,6,6,6] => 14 [22,9,8,5,5] => 672 [6,6,6,6,6,6,6,3,3,2] => 24 [27,14,9] => 840 [17,14,13,8] => 432 [5,5,5,5,5,5,5,5,5,5,5] => 6 [27,20,8] => 936 [26,13,7,7,2] => 1764 [31,12,10,4] => 2100 [6,6,6,6,6,6,6,6,6,6] => 7 [5,5,5,5,5,5,5,5,5,5,5,5] => 6 [12,12,12,12,12] => 13 [12,12,12,12,11,4] => 80 [12,12,12,12,12,4] => 45 [3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2] => 6 [11,11,11,11,11,10] => 22 [11,11,11,11,11,11] => 12 [16,14,9,9,9,9] => 180 [8,8,8,8,8,8,8,8,4,2] => 45 [24,24,24] => 25 [16,16,16,16,8,4,2] => 405 [12,12,12,12,12,12,4,4] => 45 [22,20,20,12,8] => 1215 [20,20,8,4,4,4,4,4,4,4,4,4] => 325 [33,32,9,9,5] => 1440 [18,18,18,18,18] => 19 [18,18,18,18,9,9] => 100 [6,6,6,6,6,6,6,6,6,6,6,6,6,6,3,3] => 16 [56,17,11,10,5] => 20160 [33,26,23,12,9] => 15360 [22,22,22,10,10,9,4,4] => 780 [22,22,22,10,10,10,4,4] => 455 [12,12,12,12,12,12,12,12,4,3,2] => 108 [24,24,24,24,14] => 165 [76,22,9,6] => 21560 [5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5] => 6 [5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5] => 6 [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6] => 7 [12,12,12,12,12,12,12,12,12,12] => 13 [24,24,24,24,24] => 25 [12,12,12,12,12,12,12,12,12,6,6,6,4,2] => 189 [54,48,18,10,8] => 52731 [24,24,24,24,24,24] => 25 [37,33,20,20,13,10,10,10,7] => 71680 [42,34,30,22,22,14,2] => 142155 [54,52,34,18,11,7] => 310080 [65,27,27,25,13,9,6,6] => 212940 [18,18,18,18,18,18,18,18,18,18] => 19 [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6] => 7 [16,16,16,16,16,16,16,8,8,8,8,8,8,8,8,4,2] => 405 [58,38,38,38,30] => 5859 [12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12] => 13 [10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,2] => 27 [74,58,34,34,22,22,13,11,2] => 4972500 [61,48,48,48,45,22,12,2] => 487872 [15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,5,5,3,3] => 132 [98,62,36,26,14,14,14,14,14,14,12,2] => 14142843 [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,13,2] => 72 [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,2] => 39 [74,74,26,26,26,26,12,12,12,12,12,12,6,6,4,4,3,3,3,3] => 123480 [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6] => 7 [64,57,40,39,28,23,19,19,16,9,8,8,8,8,8,8,6,6] => 139345920 [70,70,46,28,22,22,10,9,9,9,9,8,8,8,8,8,7,7,7,3,3,3] => 6916000 [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,7,7,7,7,7,2] => 144 [12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,6,6,6,6,4,4,4,3,3] => 168 [145,83,62,44,44,42,19,16,16,10,8] => 1433412288 [98,98,37,37,37,37,24,24,24,24,24,24,24,24,10,10,8,8] => 351540 [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6] => 7 ----------------------------------------------------------------------------- Created: Jul 08, 2022 at 09:24 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Dec 29, 2023 at 11:40 by Martin Rubey