***************************************************************************** * 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: St001659 ----------------------------------------------------------------------------- Collection: Integer partitions ----------------------------------------------------------------------------- Description: The number of ways to place as many non-attacking rooks as possible on a Ferrers board. ----------------------------------------------------------------------------- References: [1] [[wikipedia:Rook_polynomial]] ----------------------------------------------------------------------------- Code: def statistic(la): return next(v for v in reversed(matrix([[1]*p + [0]*(la[0]-p) for p in la]).rook_vector()) if v) ----------------------------------------------------------------------------- Statistic values: [] => 1 [1] => 1 [2] => 2 [1,1] => 2 [3] => 3 [2,1] => 1 [1,1,1] => 3 [4] => 4 [3,1] => 2 [2,2] => 2 [2,1,1] => 2 [1,1,1,1] => 4 [5] => 5 [4,1] => 3 [3,2] => 4 [3,1,1] => 4 [2,2,1] => 4 [2,1,1,1] => 3 [1,1,1,1,1] => 5 [6] => 6 [5,1] => 4 [4,2] => 6 [4,1,1] => 6 [3,3] => 6 [3,2,1] => 1 [3,1,1,1] => 6 [2,2,2] => 6 [2,2,1,1] => 6 [2,1,1,1,1] => 4 [1,1,1,1,1,1] => 6 [7] => 7 [6,1] => 5 [5,2] => 8 [5,1,1] => 8 [4,3] => 9 [4,2,1] => 2 [4,1,1,1] => 9 [3,3,1] => 2 [3,2,2] => 2 [3,2,1,1] => 2 [3,1,1,1,1] => 8 [2,2,2,1] => 9 [2,2,1,1,1] => 8 [2,1,1,1,1,1] => 5 [1,1,1,1,1,1,1] => 7 [8] => 8 [7,1] => 6 [6,2] => 10 [6,1,1] => 10 [5,3] => 12 [5,2,1] => 3 [5,1,1,1] => 12 [4,4] => 12 [4,3,1] => 4 [4,2,2] => 4 [4,2,1,1] => 4 [4,1,1,1,1] => 12 [3,3,2] => 4 [3,3,1,1] => 4 [3,2,2,1] => 4 [3,2,1,1,1] => 3 [3,1,1,1,1,1] => 10 [2,2,2,2] => 12 [2,2,2,1,1] => 12 [2,2,1,1,1,1] => 10 [2,1,1,1,1,1,1] => 6 [1,1,1,1,1,1,1,1] => 8 [9] => 9 [8,1] => 7 [7,2] => 12 [7,1,1] => 12 [6,3] => 15 [6,2,1] => 4 [6,1,1,1] => 15 [5,4] => 16 [5,3,1] => 6 [5,2,2] => 6 [5,2,1,1] => 6 [5,1,1,1,1] => 16 [4,4,1] => 6 [4,3,2] => 8 [4,3,1,1] => 8 [4,2,2,1] => 8 [4,2,1,1,1] => 6 [4,1,1,1,1,1] => 15 [3,3,3] => 6 [3,3,2,1] => 8 [3,3,1,1,1] => 6 [3,2,2,2] => 6 [3,2,2,1,1] => 6 [3,2,1,1,1,1] => 4 [3,1,1,1,1,1,1] => 12 [2,2,2,2,1] => 16 [2,2,2,1,1,1] => 15 [2,2,1,1,1,1,1] => 12 [2,1,1,1,1,1,1,1] => 7 [1,1,1,1,1,1,1,1,1] => 9 [10] => 10 [9,1] => 8 [8,2] => 14 [8,1,1] => 14 [7,3] => 18 [7,2,1] => 5 [7,1,1,1] => 18 [6,4] => 20 [6,3,1] => 8 [6,2,2] => 8 [6,2,1,1] => 8 [6,1,1,1,1] => 20 [5,5] => 20 [5,4,1] => 9 [5,3,2] => 12 [5,3,1,1] => 12 [5,2,2,1] => 12 [5,2,1,1,1] => 9 [5,1,1,1,1,1] => 20 [4,4,2] => 12 [4,4,1,1] => 12 [4,3,3] => 12 [4,3,2,1] => 1 [4,3,1,1,1] => 12 [4,2,2,2] => 12 [4,2,2,1,1] => 12 [4,2,1,1,1,1] => 8 [4,1,1,1,1,1,1] => 18 [3,3,3,1] => 12 [3,3,2,2] => 12 [3,3,2,1,1] => 12 [3,3,1,1,1,1] => 8 [3,2,2,2,1] => 9 [3,2,2,1,1,1] => 8 [3,2,1,1,1,1,1] => 5 [3,1,1,1,1,1,1,1] => 14 [2,2,2,2,2] => 20 [2,2,2,2,1,1] => 20 [2,2,2,1,1,1,1] => 18 [2,2,1,1,1,1,1,1] => 14 [2,1,1,1,1,1,1,1,1] => 8 [1,1,1,1,1,1,1,1,1,1] => 10 [11] => 11 [10,1] => 9 [9,2] => 16 [9,1,1] => 16 [8,3] => 21 [8,2,1] => 6 [8,1,1,1] => 21 [7,4] => 24 [7,3,1] => 10 [7,2,2] => 10 [7,2,1,1] => 10 [7,1,1,1,1] => 24 [6,5] => 25 [6,4,1] => 12 [6,3,2] => 16 [6,3,1,1] => 16 [6,2,2,1] => 16 [6,2,1,1,1] => 12 [6,1,1,1,1,1] => 25 [5,5,1] => 12 [5,4,2] => 18 [5,4,1,1] => 18 [5,3,3] => 18 [5,3,2,1] => 2 [5,3,1,1,1] => 18 [5,2,2,2] => 18 [5,2,2,1,1] => 18 [5,2,1,1,1,1] => 12 [5,1,1,1,1,1,1] => 24 [4,4,3] => 18 [4,4,2,1] => 2 [4,4,1,1,1] => 18 [4,3,3,1] => 2 [4,3,2,2] => 2 [4,3,2,1,1] => 2 [4,3,1,1,1,1] => 16 [4,2,2,2,1] => 18 [4,2,2,1,1,1] => 16 [4,2,1,1,1,1,1] => 10 [4,1,1,1,1,1,1,1] => 21 [3,3,3,2] => 18 [3,3,3,1,1] => 18 [3,3,2,2,1] => 18 [3,3,2,1,1,1] => 16 [3,3,1,1,1,1,1] => 10 [3,2,2,2,2] => 12 [3,2,2,2,1,1] => 12 [3,2,2,1,1,1,1] => 10 [3,2,1,1,1,1,1,1] => 6 [3,1,1,1,1,1,1,1,1] => 16 [2,2,2,2,2,1] => 25 [2,2,2,2,1,1,1] => 24 [2,2,2,1,1,1,1,1] => 21 [2,2,1,1,1,1,1,1,1] => 16 [2,1,1,1,1,1,1,1,1,1] => 9 [1,1,1,1,1,1,1,1,1,1,1] => 11 [12] => 12 [11,1] => 10 [10,2] => 18 [10,1,1] => 18 [9,3] => 24 [9,2,1] => 7 [9,1,1,1] => 24 [8,4] => 28 [8,3,1] => 12 [8,2,2] => 12 [8,2,1,1] => 12 [8,1,1,1,1] => 28 [7,5] => 30 [7,4,1] => 15 [7,3,2] => 20 [7,3,1,1] => 20 [7,2,2,1] => 20 [7,2,1,1,1] => 15 [7,1,1,1,1,1] => 30 [6,6] => 30 [6,5,1] => 16 [6,4,2] => 24 [6,4,1,1] => 24 [6,3,3] => 24 [6,3,2,1] => 3 [6,3,1,1,1] => 24 [6,2,2,2] => 24 [6,2,2,1,1] => 24 [6,2,1,1,1,1] => 16 [6,1,1,1,1,1,1] => 30 [5,5,2] => 24 [5,5,1,1] => 24 [5,4,3] => 27 [5,4,2,1] => 4 [5,4,1,1,1] => 27 [5,3,3,1] => 4 [5,3,2,2] => 4 [5,3,2,1,1] => 4 [5,3,1,1,1,1] => 24 [5,2,2,2,1] => 27 [5,2,2,1,1,1] => 24 [5,2,1,1,1,1,1] => 15 [5,1,1,1,1,1,1,1] => 28 [4,4,4] => 24 [4,4,3,1] => 4 [4,4,2,2] => 4 [4,4,2,1,1] => 4 [4,4,1,1,1,1] => 24 [4,3,3,2] => 4 [4,3,3,1,1] => 4 [4,3,2,2,1] => 4 [4,3,2,1,1,1] => 3 [4,3,1,1,1,1,1] => 20 [4,2,2,2,2] => 24 [4,2,2,2,1,1] => 24 [4,2,2,1,1,1,1] => 20 [4,2,1,1,1,1,1,1] => 12 [4,1,1,1,1,1,1,1,1] => 24 [3,3,3,3] => 24 [3,3,3,2,1] => 27 [3,3,3,1,1,1] => 24 [3,3,2,2,2] => 24 [3,3,2,2,1,1] => 24 [3,3,2,1,1,1,1] => 20 [3,3,1,1,1,1,1,1] => 12 [3,2,2,2,2,1] => 16 [3,2,2,2,1,1,1] => 15 [3,2,2,1,1,1,1,1] => 12 [3,2,1,1,1,1,1,1,1] => 7 [3,1,1,1,1,1,1,1,1,1] => 18 [2,2,2,2,2,2] => 30 [2,2,2,2,2,1,1] => 30 [2,2,2,2,1,1,1,1] => 28 [2,2,2,1,1,1,1,1,1] => 24 [2,2,1,1,1,1,1,1,1,1] => 18 [2,1,1,1,1,1,1,1,1,1,1] => 10 [1,1,1,1,1,1,1,1,1,1,1,1] => 12 [13] => 13 [12,1] => 11 [11,2] => 20 [11,1,1] => 20 [10,3] => 27 [10,2,1] => 8 [10,1,1,1] => 27 [9,4] => 32 [9,3,1] => 14 [9,2,2] => 14 [9,2,1,1] => 14 [9,1,1,1,1] => 32 [8,5] => 35 [8,4,1] => 18 [8,3,2] => 24 [8,3,1,1] => 24 [8,2,2,1] => 24 [8,2,1,1,1] => 18 [8,1,1,1,1,1] => 35 [7,6] => 36 [7,5,1] => 20 [7,4,2] => 30 [7,4,1,1] => 30 [7,3,3] => 30 [7,3,2,1] => 4 [7,3,1,1,1] => 30 [7,2,2,2] => 30 [7,2,2,1,1] => 30 [7,2,1,1,1,1] => 20 [7,1,1,1,1,1,1] => 36 [6,6,1] => 20 [6,5,2] => 32 [6,5,1,1] => 32 [6,4,3] => 36 [6,4,2,1] => 6 [6,4,1,1,1] => 36 [6,3,3,1] => 6 [6,3,2,2] => 6 [6,3,2,1,1] => 6 [6,3,1,1,1,1] => 32 [6,2,2,2,1] => 36 [6,2,2,1,1,1] => 32 [6,2,1,1,1,1,1] => 20 [6,1,1,1,1,1,1,1] => 35 [5,5,3] => 36 [5,5,2,1] => 6 [5,5,1,1,1] => 36 [5,4,4] => 36 [5,4,3,1] => 8 [5,4,2,2] => 8 [5,4,2,1,1] => 8 [5,4,1,1,1,1] => 36 [5,3,3,2] => 8 [5,3,3,1,1] => 8 [5,3,2,2,1] => 8 [5,3,2,1,1,1] => 6 [5,3,1,1,1,1,1] => 30 [5,2,2,2,2] => 36 [5,2,2,2,1,1] => 36 [5,2,2,1,1,1,1] => 30 [5,2,1,1,1,1,1,1] => 18 [5,1,1,1,1,1,1,1,1] => 32 [4,4,4,1] => 6 [4,4,3,2] => 8 [4,4,3,1,1] => 8 [4,4,2,2,1] => 8 [4,4,2,1,1,1] => 6 [4,4,1,1,1,1,1] => 30 [4,3,3,3] => 6 [4,3,3,2,1] => 8 [4,3,3,1,1,1] => 6 [4,3,2,2,2] => 6 [4,3,2,2,1,1] => 6 [4,3,2,1,1,1,1] => 4 [4,3,1,1,1,1,1,1] => 24 [4,2,2,2,2,1] => 32 [4,2,2,2,1,1,1] => 30 [4,2,2,1,1,1,1,1] => 24 [4,2,1,1,1,1,1,1,1] => 14 [4,1,1,1,1,1,1,1,1,1] => 27 [3,3,3,3,1] => 36 [3,3,3,2,2] => 36 [3,3,3,2,1,1] => 36 [3,3,3,1,1,1,1] => 30 [3,3,2,2,2,1] => 32 [3,3,2,2,1,1,1] => 30 [3,3,2,1,1,1,1,1] => 24 [3,3,1,1,1,1,1,1,1] => 14 [3,2,2,2,2,2] => 20 [3,2,2,2,2,1,1] => 20 [3,2,2,2,1,1,1,1] => 18 [3,2,2,1,1,1,1,1,1] => 14 [3,2,1,1,1,1,1,1,1,1] => 8 [3,1,1,1,1,1,1,1,1,1,1] => 20 [2,2,2,2,2,2,1] => 36 [2,2,2,2,2,1,1,1] => 35 [2,2,2,2,1,1,1,1,1] => 32 [2,2,2,1,1,1,1,1,1,1] => 27 [2,2,1,1,1,1,1,1,1,1,1] => 20 [2,1,1,1,1,1,1,1,1,1,1,1] => 11 [1,1,1,1,1,1,1,1,1,1,1,1,1] => 13 [14] => 14 [13,1] => 12 [12,2] => 22 [12,1,1] => 22 [11,3] => 30 [11,2,1] => 9 [11,1,1,1] => 30 [10,4] => 36 [10,3,1] => 16 [10,2,2] => 16 [10,2,1,1] => 16 [10,1,1,1,1] => 36 [9,5] => 40 [9,4,1] => 21 [9,3,2] => 28 [9,3,1,1] => 28 [9,2,2,1] => 28 [9,2,1,1,1] => 21 [9,1,1,1,1,1] => 40 [8,6] => 42 [8,5,1] => 24 [8,4,2] => 36 [8,4,1,1] => 36 [8,3,3] => 36 [8,3,2,1] => 5 [8,3,1,1,1] => 36 [8,2,2,2] => 36 [8,2,2,1,1] => 36 [8,2,1,1,1,1] => 24 [8,1,1,1,1,1,1] => 42 [7,7] => 42 [7,6,1] => 25 [7,5,2] => 40 [7,5,1,1] => 40 [7,4,3] => 45 [7,4,2,1] => 8 [7,4,1,1,1] => 45 [7,3,3,1] => 8 [7,3,2,2] => 8 [7,3,2,1,1] => 8 [7,3,1,1,1,1] => 40 [7,2,2,2,1] => 45 [7,2,2,1,1,1] => 40 [7,2,1,1,1,1,1] => 25 [7,1,1,1,1,1,1,1] => 42 [6,6,2] => 40 [6,6,1,1] => 40 [6,5,3] => 48 [6,5,2,1] => 9 [6,5,1,1,1] => 48 [6,4,4] => 48 [6,4,3,1] => 12 [6,4,2,2] => 12 [6,4,2,1,1] => 12 [6,4,1,1,1,1] => 48 [6,3,3,2] => 12 [6,3,3,1,1] => 12 [6,3,2,2,1] => 12 [6,3,2,1,1,1] => 9 [6,3,1,1,1,1,1] => 40 [6,2,2,2,2] => 48 [6,2,2,2,1,1] => 48 [6,2,2,1,1,1,1] => 40 [6,2,1,1,1,1,1,1] => 24 [6,1,1,1,1,1,1,1,1] => 40 [5,5,4] => 48 [5,5,3,1] => 12 [5,5,2,2] => 12 [5,5,2,1,1] => 12 [5,5,1,1,1,1] => 48 [5,4,4,1] => 12 [5,4,3,2] => 16 [5,4,3,1,1] => 16 [5,4,2,2,1] => 16 [5,4,2,1,1,1] => 12 [5,4,1,1,1,1,1] => 45 [5,3,3,3] => 12 [5,3,3,2,1] => 16 [5,3,3,1,1,1] => 12 [5,3,2,2,2] => 12 [5,3,2,2,1,1] => 12 [5,3,2,1,1,1,1] => 8 [5,3,1,1,1,1,1,1] => 36 [5,2,2,2,2,1] => 48 [5,2,2,2,1,1,1] => 45 [5,2,2,1,1,1,1,1] => 36 [5,2,1,1,1,1,1,1,1] => 21 [5,1,1,1,1,1,1,1,1,1] => 36 [4,4,4,2] => 12 [4,4,4,1,1] => 12 [4,4,3,3] => 12 [4,4,3,2,1] => 16 [4,4,3,1,1,1] => 12 [4,4,2,2,2] => 12 [4,4,2,2,1,1] => 12 [4,4,2,1,1,1,1] => 8 [4,4,1,1,1,1,1,1] => 36 [4,3,3,3,1] => 12 [4,3,3,2,2] => 12 [4,3,3,2,1,1] => 12 [4,3,3,1,1,1,1] => 8 [4,3,2,2,2,1] => 9 [4,3,2,2,1,1,1] => 8 [4,3,2,1,1,1,1,1] => 5 [4,3,1,1,1,1,1,1,1] => 28 [4,2,2,2,2,2] => 40 [4,2,2,2,2,1,1] => 40 [4,2,2,2,1,1,1,1] => 36 [4,2,2,1,1,1,1,1,1] => 28 [4,2,1,1,1,1,1,1,1,1] => 16 [4,1,1,1,1,1,1,1,1,1,1] => 30 [3,3,3,3,2] => 48 [3,3,3,3,1,1] => 48 [3,3,3,2,2,1] => 48 [3,3,3,2,1,1,1] => 45 [3,3,3,1,1,1,1,1] => 36 [3,3,2,2,2,2] => 40 [3,3,2,2,2,1,1] => 40 [3,3,2,2,1,1,1,1] => 36 [3,3,2,1,1,1,1,1,1] => 28 [3,3,1,1,1,1,1,1,1,1] => 16 [3,2,2,2,2,2,1] => 25 [3,2,2,2,2,1,1,1] => 24 [3,2,2,2,1,1,1,1,1] => 21 [3,2,2,1,1,1,1,1,1,1] => 16 [3,2,1,1,1,1,1,1,1,1,1] => 9 [3,1,1,1,1,1,1,1,1,1,1,1] => 22 [2,2,2,2,2,2,2] => 42 [2,2,2,2,2,2,1,1] => 42 [2,2,2,2,2,1,1,1,1] => 40 [2,2,2,2,1,1,1,1,1,1] => 36 [2,2,2,1,1,1,1,1,1,1,1] => 30 [2,2,1,1,1,1,1,1,1,1,1,1] => 22 [2,1,1,1,1,1,1,1,1,1,1,1,1] => 12 [1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 14 [15] => 15 [14,1] => 13 [13,2] => 24 [13,1,1] => 24 [12,3] => 33 [12,2,1] => 10 [12,1,1,1] => 33 [11,4] => 40 [11,3,1] => 18 [11,2,2] => 18 [11,2,1,1] => 18 [11,1,1,1,1] => 40 [10,5] => 45 [10,4,1] => 24 [10,3,2] => 32 [10,3,1,1] => 32 [10,2,2,1] => 32 [10,2,1,1,1] => 24 [10,1,1,1,1,1] => 45 [9,6] => 48 [9,5,1] => 28 [9,4,2] => 42 [9,4,1,1] => 42 [9,3,3] => 42 [9,3,2,1] => 6 [9,3,1,1,1] => 42 [9,2,2,2] => 42 [9,2,2,1,1] => 42 [9,2,1,1,1,1] => 28 [9,1,1,1,1,1,1] => 48 [8,7] => 49 [8,6,1] => 30 [8,5,2] => 48 [8,5,1,1] => 48 [8,4,3] => 54 [8,4,2,1] => 10 [8,4,1,1,1] => 54 [8,3,3,1] => 10 [8,3,2,2] => 10 [8,3,2,1,1] => 10 [8,3,1,1,1,1] => 48 [8,2,2,2,1] => 54 [8,2,2,1,1,1] => 48 [8,2,1,1,1,1,1] => 30 [8,1,1,1,1,1,1,1] => 49 [7,7,1] => 30 [7,6,2] => 50 [7,6,1,1] => 50 [7,5,3] => 60 [7,5,2,1] => 12 [7,5,1,1,1] => 60 [7,4,4] => 60 [7,4,3,1] => 16 [7,4,2,2] => 16 [7,4,2,1,1] => 16 [7,4,1,1,1,1] => 60 [7,3,3,2] => 16 [7,3,3,1,1] => 16 [7,3,2,2,1] => 16 [7,3,2,1,1,1] => 12 [7,3,1,1,1,1,1] => 50 [7,2,2,2,2] => 60 [7,2,2,2,1,1] => 60 [7,2,2,1,1,1,1] => 50 [7,2,1,1,1,1,1,1] => 30 [7,1,1,1,1,1,1,1,1] => 48 [6,6,3] => 60 [6,6,2,1] => 12 [6,6,1,1,1] => 60 [6,5,4] => 64 [6,5,3,1] => 18 [6,5,2,2] => 18 [6,5,2,1,1] => 18 [6,5,1,1,1,1] => 64 [6,4,4,1] => 18 [6,4,3,2] => 24 [6,4,3,1,1] => 24 [6,4,2,2,1] => 24 [6,4,2,1,1,1] => 18 [6,4,1,1,1,1,1] => 60 [6,3,3,3] => 18 [6,3,3,2,1] => 24 [6,3,3,1,1,1] => 18 [6,3,2,2,2] => 18 [6,3,2,2,1,1] => 18 [6,3,2,1,1,1,1] => 12 [6,3,1,1,1,1,1,1] => 48 [6,2,2,2,2,1] => 64 [6,2,2,2,1,1,1] => 60 [6,2,2,1,1,1,1,1] => 48 [6,2,1,1,1,1,1,1,1] => 28 [6,1,1,1,1,1,1,1,1,1] => 45 [5,5,5] => 60 [5,5,4,1] => 18 [5,5,3,2] => 24 [5,5,3,1,1] => 24 [5,5,2,2,1] => 24 [5,5,2,1,1,1] => 18 [5,5,1,1,1,1,1] => 60 [5,4,4,2] => 24 [5,4,4,1,1] => 24 [5,4,3,3] => 24 [5,4,3,2,1] => 1 [5,4,3,1,1,1] => 24 [5,4,2,2,2] => 24 [5,4,2,2,1,1] => 24 [5,4,2,1,1,1,1] => 16 [5,4,1,1,1,1,1,1] => 54 [5,3,3,3,1] => 24 [5,3,3,2,2] => 24 [5,3,3,2,1,1] => 24 [5,3,3,1,1,1,1] => 16 [5,3,2,2,2,1] => 18 [5,3,2,2,1,1,1] => 16 [5,3,2,1,1,1,1,1] => 10 [5,3,1,1,1,1,1,1,1] => 42 [5,2,2,2,2,2] => 60 [5,2,2,2,2,1,1] => 60 [5,2,2,2,1,1,1,1] => 54 [5,2,2,1,1,1,1,1,1] => 42 [5,2,1,1,1,1,1,1,1,1] => 24 [5,1,1,1,1,1,1,1,1,1,1] => 40 [4,4,4,3] => 18 [4,4,4,2,1] => 24 [4,4,4,1,1,1] => 18 [4,4,3,3,1] => 24 [4,4,3,2,2] => 24 [4,4,3,2,1,1] => 24 [4,4,3,1,1,1,1] => 16 [4,4,2,2,2,1] => 18 [4,4,2,2,1,1,1] => 16 [4,4,2,1,1,1,1,1] => 10 [4,4,1,1,1,1,1,1,1] => 42 [4,3,3,3,2] => 18 [4,3,3,3,1,1] => 18 [4,3,3,2,2,1] => 18 [4,3,3,2,1,1,1] => 16 [4,3,3,1,1,1,1,1] => 10 [4,3,2,2,2,2] => 12 [4,3,2,2,2,1,1] => 12 [4,3,2,2,1,1,1,1] => 10 [4,3,2,1,1,1,1,1,1] => 6 [4,3,1,1,1,1,1,1,1,1] => 32 [4,2,2,2,2,2,1] => 50 [4,2,2,2,2,1,1,1] => 48 [4,2,2,2,1,1,1,1,1] => 42 [4,2,2,1,1,1,1,1,1,1] => 32 [4,2,1,1,1,1,1,1,1,1,1] => 18 [4,1,1,1,1,1,1,1,1,1,1,1] => 33 [3,3,3,3,3] => 60 [3,3,3,3,2,1] => 64 [3,3,3,3,1,1,1] => 60 [3,3,3,2,2,2] => 60 [3,3,3,2,2,1,1] => 60 [3,3,3,2,1,1,1,1] => 54 [3,3,3,1,1,1,1,1,1] => 42 [3,3,2,2,2,2,1] => 50 [3,3,2,2,2,1,1,1] => 48 [3,3,2,2,1,1,1,1,1] => 42 [3,3,2,1,1,1,1,1,1,1] => 32 [3,3,1,1,1,1,1,1,1,1,1] => 18 [3,2,2,2,2,2,2] => 30 [3,2,2,2,2,2,1,1] => 30 [3,2,2,2,2,1,1,1,1] => 28 [3,2,2,2,1,1,1,1,1,1] => 24 [3,2,2,1,1,1,1,1,1,1,1] => 18 [3,2,1,1,1,1,1,1,1,1,1,1] => 10 [3,1,1,1,1,1,1,1,1,1,1,1,1] => 24 [2,2,2,2,2,2,2,1] => 49 [2,2,2,2,2,2,1,1,1] => 48 [2,2,2,2,2,1,1,1,1,1] => 45 [2,2,2,2,1,1,1,1,1,1,1] => 40 [2,2,2,1,1,1,1,1,1,1,1,1] => 33 [2,2,1,1,1,1,1,1,1,1,1,1,1] => 24 [2,1,1,1,1,1,1,1,1,1,1,1,1,1] => 13 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 15 [16] => 16 [15,1] => 14 [14,2] => 26 [14,1,1] => 26 [13,3] => 36 [13,2,1] => 11 [13,1,1,1] => 36 [12,4] => 44 [12,3,1] => 20 [12,2,2] => 20 [12,2,1,1] => 20 [12,1,1,1,1] => 44 [11,5] => 50 [11,4,1] => 27 [11,3,2] => 36 [11,3,1,1] => 36 [11,2,2,1] => 36 [11,2,1,1,1] => 27 [11,1,1,1,1,1] => 50 [10,6] => 54 [10,5,1] => 32 [10,4,2] => 48 [10,4,1,1] => 48 [10,3,3] => 48 [10,3,2,1] => 7 [10,3,1,1,1] => 48 [10,2,2,2] => 48 [10,2,2,1,1] => 48 [10,2,1,1,1,1] => 32 [10,1,1,1,1,1,1] => 54 [9,7] => 56 [9,6,1] => 35 [9,5,2] => 56 [9,5,1,1] => 56 [9,4,3] => 63 [9,4,2,1] => 12 [9,4,1,1,1] => 63 [9,3,3,1] => 12 [9,3,2,2] => 12 [9,3,2,1,1] => 12 [9,3,1,1,1,1] => 56 [9,2,2,2,1] => 63 [9,2,2,1,1,1] => 56 [9,2,1,1,1,1,1] => 35 [9,1,1,1,1,1,1,1] => 56 [8,8] => 56 [8,7,1] => 36 [8,6,2] => 60 [8,6,1,1] => 60 [8,5,3] => 72 [8,5,2,1] => 15 [8,5,1,1,1] => 72 [8,4,4] => 72 [8,4,3,1] => 20 [8,4,2,2] => 20 [8,4,2,1,1] => 20 [8,4,1,1,1,1] => 72 [8,3,3,2] => 20 [8,3,3,1,1] => 20 [8,3,2,2,1] => 20 [8,3,2,1,1,1] => 15 [8,3,1,1,1,1,1] => 60 [8,2,2,2,2] => 72 [8,2,2,2,1,1] => 72 [8,2,2,1,1,1,1] => 60 [8,2,1,1,1,1,1,1] => 36 [8,1,1,1,1,1,1,1,1] => 56 [7,7,2] => 60 [7,7,1,1] => 60 [7,6,3] => 75 [7,6,2,1] => 16 [7,6,1,1,1] => 75 [7,5,4] => 80 [7,5,3,1] => 24 [7,5,2,2] => 24 [7,5,2,1,1] => 24 [7,5,1,1,1,1] => 80 [7,4,4,1] => 24 [7,4,3,2] => 32 [7,4,3,1,1] => 32 [7,4,2,2,1] => 32 [7,4,2,1,1,1] => 24 [7,4,1,1,1,1,1] => 75 [7,3,3,3] => 24 [7,3,3,2,1] => 32 [7,3,3,1,1,1] => 24 [7,3,2,2,2] => 24 [7,3,2,2,1,1] => 24 [7,3,2,1,1,1,1] => 16 [7,3,1,1,1,1,1,1] => 60 [7,2,2,2,2,1] => 80 [7,2,2,2,1,1,1] => 75 [7,2,2,1,1,1,1,1] => 60 [7,2,1,1,1,1,1,1,1] => 35 [7,1,1,1,1,1,1,1,1,1] => 54 [6,6,4] => 80 [6,6,3,1] => 24 [6,6,2,2] => 24 [6,6,2,1,1] => 24 [6,6,1,1,1,1] => 80 [6,5,5] => 80 [6,5,4,1] => 27 [6,5,3,2] => 36 [6,5,3,1,1] => 36 [6,5,2,2,1] => 36 [6,5,2,1,1,1] => 27 [6,5,1,1,1,1,1] => 80 [6,4,4,2] => 36 [6,4,4,1,1] => 36 [6,4,3,3] => 36 [6,4,3,2,1] => 2 [6,4,3,1,1,1] => 36 [6,4,2,2,2] => 36 [6,4,2,2,1,1] => 36 [6,4,2,1,1,1,1] => 24 [6,4,1,1,1,1,1,1] => 72 [6,3,3,3,1] => 36 [6,3,3,2,2] => 36 [6,3,3,2,1,1] => 36 [6,3,3,1,1,1,1] => 24 [6,3,2,2,2,1] => 27 [6,3,2,2,1,1,1] => 24 [6,3,2,1,1,1,1,1] => 15 [6,3,1,1,1,1,1,1,1] => 56 [6,2,2,2,2,2] => 80 [6,2,2,2,2,1,1] => 80 [6,2,2,2,1,1,1,1] => 72 [6,2,2,1,1,1,1,1,1] => 56 [6,2,1,1,1,1,1,1,1,1] => 32 [6,1,1,1,1,1,1,1,1,1,1] => 50 [5,5,5,1] => 24 [5,5,4,2] => 36 [5,5,4,1,1] => 36 [5,5,3,3] => 36 [5,5,3,2,1] => 2 [5,5,3,1,1,1] => 36 [5,5,2,2,2] => 36 [5,5,2,2,1,1] => 36 [5,5,2,1,1,1,1] => 24 [5,5,1,1,1,1,1,1] => 72 [5,4,4,3] => 36 [5,4,4,2,1] => 2 [5,4,4,1,1,1] => 36 [5,4,3,3,1] => 2 [5,4,3,2,2] => 2 [5,4,3,2,1,1] => 2 [5,4,3,1,1,1,1] => 32 [5,4,2,2,2,1] => 36 [5,4,2,2,1,1,1] => 32 [5,4,2,1,1,1,1,1] => 20 [5,4,1,1,1,1,1,1,1] => 63 [5,3,3,3,2] => 36 [5,3,3,3,1,1] => 36 [5,3,3,2,2,1] => 36 [5,3,3,2,1,1,1] => 32 [5,3,3,1,1,1,1,1] => 20 [5,3,2,2,2,2] => 24 [5,3,2,2,2,1,1] => 24 [5,3,2,2,1,1,1,1] => 20 [5,3,2,1,1,1,1,1,1] => 12 [5,3,1,1,1,1,1,1,1,1] => 48 [5,2,2,2,2,2,1] => 75 [5,2,2,2,2,1,1,1] => 72 [5,2,2,2,1,1,1,1,1] => 63 [5,2,2,1,1,1,1,1,1,1] => 48 [5,2,1,1,1,1,1,1,1,1,1] => 27 [5,1,1,1,1,1,1,1,1,1,1,1] => 44 [4,4,4,4] => 24 [4,4,4,3,1] => 36 [4,4,4,2,2] => 36 [4,4,4,2,1,1] => 36 [4,4,4,1,1,1,1] => 24 [4,4,3,3,2] => 36 [4,4,3,3,1,1] => 36 [4,4,3,2,2,1] => 36 [4,4,3,2,1,1,1] => 32 [4,4,3,1,1,1,1,1] => 20 [4,4,2,2,2,2] => 24 [4,4,2,2,2,1,1] => 24 [4,4,2,2,1,1,1,1] => 20 [4,4,2,1,1,1,1,1,1] => 12 [4,4,1,1,1,1,1,1,1,1] => 48 [4,3,3,3,3] => 24 [4,3,3,3,2,1] => 27 [4,3,3,3,1,1,1] => 24 [4,3,3,2,2,2] => 24 [4,3,3,2,2,1,1] => 24 [4,3,3,2,1,1,1,1] => 20 [4,3,3,1,1,1,1,1,1] => 12 [4,3,2,2,2,2,1] => 16 [4,3,2,2,2,1,1,1] => 15 [4,3,2,2,1,1,1,1,1] => 12 [4,3,2,1,1,1,1,1,1,1] => 7 [4,3,1,1,1,1,1,1,1,1,1] => 36 [4,2,2,2,2,2,2] => 60 [4,2,2,2,2,2,1,1] => 60 [4,2,2,2,2,1,1,1,1] => 56 [4,2,2,2,1,1,1,1,1,1] => 48 [4,2,2,1,1,1,1,1,1,1,1] => 36 [4,2,1,1,1,1,1,1,1,1,1,1] => 20 [4,1,1,1,1,1,1,1,1,1,1,1,1] => 36 [3,3,3,3,3,1] => 80 [3,3,3,3,2,2] => 80 [3,3,3,3,2,1,1] => 80 [3,3,3,3,1,1,1,1] => 72 [3,3,3,2,2,2,1] => 75 [3,3,3,2,2,1,1,1] => 72 [3,3,3,2,1,1,1,1,1] => 63 [3,3,3,1,1,1,1,1,1,1] => 48 [3,3,2,2,2,2,2] => 60 [3,3,2,2,2,2,1,1] => 60 [3,3,2,2,2,1,1,1,1] => 56 [3,3,2,2,1,1,1,1,1,1] => 48 [3,3,2,1,1,1,1,1,1,1,1] => 36 [3,3,1,1,1,1,1,1,1,1,1,1] => 20 [3,2,2,2,2,2,2,1] => 36 [3,2,2,2,2,2,1,1,1] => 35 [3,2,2,2,2,1,1,1,1,1] => 32 [3,2,2,2,1,1,1,1,1,1,1] => 27 [3,2,2,1,1,1,1,1,1,1,1,1] => 20 [3,2,1,1,1,1,1,1,1,1,1,1,1] => 11 [3,1,1,1,1,1,1,1,1,1,1,1,1,1] => 26 [2,2,2,2,2,2,2,2] => 56 [2,2,2,2,2,2,2,1,1] => 56 [2,2,2,2,2,2,1,1,1,1] => 54 [2,2,2,2,2,1,1,1,1,1,1] => 50 [2,2,2,2,1,1,1,1,1,1,1,1] => 44 [2,2,2,1,1,1,1,1,1,1,1,1,1] => 36 [2,2,1,1,1,1,1,1,1,1,1,1,1,1] => 26 [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 14 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 16 [17] => 17 [16,1] => 15 [15,2] => 28 [15,1,1] => 28 [14,3] => 39 [14,2,1] => 12 [14,1,1,1] => 39 [13,4] => 48 [13,3,1] => 22 [13,2,2] => 22 [13,2,1,1] => 22 [13,1,1,1,1] => 48 [12,5] => 55 [12,4,1] => 30 [12,3,2] => 40 [12,3,1,1] => 40 [12,2,2,1] => 40 [12,2,1,1,1] => 30 [12,1,1,1,1,1] => 55 [11,6] => 60 [11,5,1] => 36 [11,4,2] => 54 [11,4,1,1] => 54 [11,3,3] => 54 [11,3,2,1] => 8 [11,3,1,1,1] => 54 [11,2,2,2] => 54 [11,2,2,1,1] => 54 [11,2,1,1,1,1] => 36 [11,1,1,1,1,1,1] => 60 [10,7] => 63 [10,6,1] => 40 [10,5,2] => 64 [10,5,1,1] => 64 [10,4,3] => 72 [10,4,2,1] => 14 [10,4,1,1,1] => 72 [10,3,3,1] => 14 [10,3,2,2] => 14 [10,3,2,1,1] => 14 [10,3,1,1,1,1] => 64 [10,2,2,2,1] => 72 [10,2,2,1,1,1] => 64 [10,2,1,1,1,1,1] => 40 [10,1,1,1,1,1,1,1] => 63 [9,8] => 64 [9,7,1] => 42 [9,6,2] => 70 [9,6,1,1] => 70 [9,5,3] => 84 [9,5,2,1] => 18 [9,5,1,1,1] => 84 [9,4,4] => 84 [9,4,3,1] => 24 [9,4,2,2] => 24 [9,4,2,1,1] => 24 [9,4,1,1,1,1] => 84 [9,3,3,2] => 24 [9,3,3,1,1] => 24 [9,3,2,2,1] => 24 [9,3,2,1,1,1] => 18 [9,3,1,1,1,1,1] => 70 [9,2,2,2,2] => 84 [9,2,2,2,1,1] => 84 [9,2,2,1,1,1,1] => 70 [9,2,1,1,1,1,1,1] => 42 [9,1,1,1,1,1,1,1,1] => 64 [8,8,1] => 42 [8,7,2] => 72 [8,7,1,1] => 72 [8,6,3] => 90 [8,6,2,1] => 20 [8,6,1,1,1] => 90 [8,5,4] => 96 [8,5,3,1] => 30 [8,5,2,2] => 30 [8,5,2,1,1] => 30 [8,5,1,1,1,1] => 96 [8,4,4,1] => 30 [8,4,3,2] => 40 [8,4,3,1,1] => 40 [8,4,2,2,1] => 40 [8,4,2,1,1,1] => 30 [8,4,1,1,1,1,1] => 90 [8,3,3,3] => 30 [8,3,3,2,1] => 40 [8,3,3,1,1,1] => 30 [8,3,2,2,2] => 30 [8,3,2,2,1,1] => 30 [8,3,2,1,1,1,1] => 20 [8,3,1,1,1,1,1,1] => 72 [8,2,2,2,2,1] => 96 [8,2,2,2,1,1,1] => 90 [8,2,2,1,1,1,1,1] => 72 [8,2,1,1,1,1,1,1,1] => 42 [8,1,1,1,1,1,1,1,1,1] => 63 [7,7,3] => 90 [7,7,2,1] => 20 [7,7,1,1,1] => 90 [7,6,4] => 100 [7,6,3,1] => 32 [7,6,2,2] => 32 [7,6,2,1,1] => 32 [7,6,1,1,1,1] => 100 [7,5,5] => 100 [7,5,4,1] => 36 [7,5,3,2] => 48 [7,5,3,1,1] => 48 [7,5,2,2,1] => 48 [7,5,2,1,1,1] => 36 [7,5,1,1,1,1,1] => 100 [7,4,4,2] => 48 [7,4,4,1,1] => 48 [7,4,3,3] => 48 [7,4,3,2,1] => 3 [7,4,3,1,1,1] => 48 [7,4,2,2,2] => 48 [7,4,2,2,1,1] => 48 [7,4,2,1,1,1,1] => 32 [7,4,1,1,1,1,1,1] => 90 [7,3,3,3,1] => 48 [7,3,3,2,2] => 48 [7,3,3,2,1,1] => 48 [7,3,3,1,1,1,1] => 32 [7,3,2,2,2,1] => 36 [7,3,2,2,1,1,1] => 32 [7,3,2,1,1,1,1,1] => 20 [7,3,1,1,1,1,1,1,1] => 70 [7,2,2,2,2,2] => 100 [7,2,2,2,2,1,1] => 100 [7,2,2,2,1,1,1,1] => 90 [7,2,2,1,1,1,1,1,1] => 70 [7,2,1,1,1,1,1,1,1,1] => 40 [7,1,1,1,1,1,1,1,1,1,1] => 60 [6,6,5] => 100 [6,6,4,1] => 36 [6,6,3,2] => 48 [6,6,3,1,1] => 48 [6,6,2,2,1] => 48 [6,6,2,1,1,1] => 36 [6,6,1,1,1,1,1] => 100 [6,5,5,1] => 36 [6,5,4,2] => 54 [6,5,4,1,1] => 54 [6,5,3,3] => 54 [6,5,3,2,1] => 4 [6,5,3,1,1,1] => 54 [6,5,2,2,2] => 54 [6,5,2,2,1,1] => 54 [6,5,2,1,1,1,1] => 36 [6,5,1,1,1,1,1,1] => 96 [6,4,4,3] => 54 [6,4,4,2,1] => 4 [6,4,4,1,1,1] => 54 [6,4,3,3,1] => 4 [6,4,3,2,2] => 4 [6,4,3,2,1,1] => 4 [6,4,3,1,1,1,1] => 48 [6,4,2,2,2,1] => 54 [6,4,2,2,1,1,1] => 48 [6,4,2,1,1,1,1,1] => 30 [6,4,1,1,1,1,1,1,1] => 84 [6,3,3,3,2] => 54 [6,3,3,3,1,1] => 54 [6,3,3,2,2,1] => 54 [6,3,3,2,1,1,1] => 48 [6,3,3,1,1,1,1,1] => 30 [6,3,2,2,2,2] => 36 [6,3,2,2,2,1,1] => 36 [6,3,2,2,1,1,1,1] => 30 [6,3,2,1,1,1,1,1,1] => 18 [6,3,1,1,1,1,1,1,1,1] => 64 [6,2,2,2,2,2,1] => 100 [6,2,2,2,2,1,1,1] => 96 [6,2,2,2,1,1,1,1,1] => 84 [6,2,2,1,1,1,1,1,1,1] => 64 [6,2,1,1,1,1,1,1,1,1,1] => 36 [6,1,1,1,1,1,1,1,1,1,1,1] => 55 [5,5,5,2] => 48 [5,5,5,1,1] => 48 [5,5,4,3] => 54 [5,5,4,2,1] => 4 [5,5,4,1,1,1] => 54 [5,5,3,3,1] => 4 [5,5,3,2,2] => 4 [5,5,3,2,1,1] => 4 [5,5,3,1,1,1,1] => 48 [5,5,2,2,2,1] => 54 [5,5,2,2,1,1,1] => 48 [5,5,2,1,1,1,1,1] => 30 [5,5,1,1,1,1,1,1,1] => 84 [5,4,4,4] => 48 [5,4,4,3,1] => 4 [5,4,4,2,2] => 4 [5,4,4,2,1,1] => 4 [5,4,4,1,1,1,1] => 48 [5,4,3,3,2] => 4 [5,4,3,3,1,1] => 4 [5,4,3,2,2,1] => 4 [5,4,3,2,1,1,1] => 3 [5,4,3,1,1,1,1,1] => 40 [5,4,2,2,2,2] => 48 [5,4,2,2,2,1,1] => 48 [5,4,2,2,1,1,1,1] => 40 [5,4,2,1,1,1,1,1,1] => 24 [5,4,1,1,1,1,1,1,1,1] => 72 [5,3,3,3,3] => 48 [5,3,3,3,2,1] => 54 [5,3,3,3,1,1,1] => 48 [5,3,3,2,2,2] => 48 [5,3,3,2,2,1,1] => 48 [5,3,3,2,1,1,1,1] => 40 [5,3,3,1,1,1,1,1,1] => 24 [5,3,2,2,2,2,1] => 32 [5,3,2,2,2,1,1,1] => 30 [5,3,2,2,1,1,1,1,1] => 24 [5,3,2,1,1,1,1,1,1,1] => 14 [5,3,1,1,1,1,1,1,1,1,1] => 54 [5,2,2,2,2,2,2] => 90 [5,2,2,2,2,2,1,1] => 90 [5,2,2,2,2,1,1,1,1] => 84 [5,2,2,2,1,1,1,1,1,1] => 72 [5,2,2,1,1,1,1,1,1,1,1] => 54 [5,2,1,1,1,1,1,1,1,1,1,1] => 30 [5,1,1,1,1,1,1,1,1,1,1,1,1] => 48 [4,4,4,4,1] => 48 [4,4,4,3,2] => 54 [4,4,4,3,1,1] => 54 [4,4,4,2,2,1] => 54 [4,4,4,2,1,1,1] => 48 [4,4,4,1,1,1,1,1] => 30 [4,4,3,3,3] => 48 [4,4,3,3,2,1] => 54 [4,4,3,3,1,1,1] => 48 [4,4,3,2,2,2] => 48 [4,4,3,2,2,1,1] => 48 [4,4,3,2,1,1,1,1] => 40 [4,4,3,1,1,1,1,1,1] => 24 [4,4,2,2,2,2,1] => 32 [4,4,2,2,2,1,1,1] => 30 [4,4,2,2,1,1,1,1,1] => 24 [4,4,2,1,1,1,1,1,1,1] => 14 [4,4,1,1,1,1,1,1,1,1,1] => 54 [4,3,3,3,3,1] => 36 [4,3,3,3,2,2] => 36 [4,3,3,3,2,1,1] => 36 [4,3,3,3,1,1,1,1] => 30 [4,3,3,2,2,2,1] => 32 [4,3,3,2,2,1,1,1] => 30 [4,3,3,2,1,1,1,1,1] => 24 [4,3,3,1,1,1,1,1,1,1] => 14 [4,3,2,2,2,2,2] => 20 [4,3,2,2,2,2,1,1] => 20 [4,3,2,2,2,1,1,1,1] => 18 [4,3,2,2,1,1,1,1,1,1] => 14 [4,3,2,1,1,1,1,1,1,1,1] => 8 [4,3,1,1,1,1,1,1,1,1,1,1] => 40 [4,2,2,2,2,2,2,1] => 72 [4,2,2,2,2,2,1,1,1] => 70 [4,2,2,2,2,1,1,1,1,1] => 64 [4,2,2,2,1,1,1,1,1,1,1] => 54 [4,2,2,1,1,1,1,1,1,1,1,1] => 40 [4,2,1,1,1,1,1,1,1,1,1,1,1] => 22 [4,1,1,1,1,1,1,1,1,1,1,1,1,1] => 39 [3,3,3,3,3,2] => 100 [3,3,3,3,3,1,1] => 100 [3,3,3,3,2,2,1] => 100 [3,3,3,3,2,1,1,1] => 96 [3,3,3,3,1,1,1,1,1] => 84 [3,3,3,2,2,2,2] => 90 [3,3,3,2,2,2,1,1] => 90 [3,3,3,2,2,1,1,1,1] => 84 [3,3,3,2,1,1,1,1,1,1] => 72 [3,3,3,1,1,1,1,1,1,1,1] => 54 [3,3,2,2,2,2,2,1] => 72 [3,3,2,2,2,2,1,1,1] => 70 [3,3,2,2,2,1,1,1,1,1] => 64 [3,3,2,2,1,1,1,1,1,1,1] => 54 [3,3,2,1,1,1,1,1,1,1,1,1] => 40 [3,3,1,1,1,1,1,1,1,1,1,1,1] => 22 [3,2,2,2,2,2,2,2] => 42 [3,2,2,2,2,2,2,1,1] => 42 [3,2,2,2,2,2,1,1,1,1] => 40 [3,2,2,2,2,1,1,1,1,1,1] => 36 [3,2,2,2,1,1,1,1,1,1,1,1] => 30 [3,2,2,1,1,1,1,1,1,1,1,1,1] => 22 [3,2,1,1,1,1,1,1,1,1,1,1,1,1] => 12 [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 28 [2,2,2,2,2,2,2,2,1] => 64 [2,2,2,2,2,2,2,1,1,1] => 63 [2,2,2,2,2,2,1,1,1,1,1] => 60 [2,2,2,2,2,1,1,1,1,1,1,1] => 55 [2,2,2,2,1,1,1,1,1,1,1,1,1] => 48 [2,2,2,1,1,1,1,1,1,1,1,1,1,1] => 39 [2,2,1,1,1,1,1,1,1,1,1,1,1,1,1] => 28 [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 15 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 17 ----------------------------------------------------------------------------- Created: Dec 22, 2020 at 13:32 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Dec 22, 2020 at 13:32 by Martin Rubey