***************************************************************************** * 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: St001593 ----------------------------------------------------------------------------- Collection: Integer partitions ----------------------------------------------------------------------------- Description: This is the number of standard Young tableaux of the given shifted shape. For an integer partition $\lambda = (\lambda_1,\dots,\lambda_k)$, the shifted diagram is obtained by moving the $i$-th row in the diagram $i-1$ boxes to the right, i.e., $$\lambda^∗ = \{(i, j) | 1 \leq i \leq k, i \leq j \leq \lambda_i + i − 1 \}.$$ In particular, this statistic is zero if and only if $\lambda_{i+1} = \lambda_i$ for some $i$. ----------------------------------------------------------------------------- References: [1] Cho, Y., Kim, J. S., Lee, E. Enumeration of Gelfand-Cetlin type reduced words [[arXiv:2009.06906]] ----------------------------------------------------------------------------- Code: def statistic(L): return multinomial(list(L)) * prod( ZZ(L[i] - L[j]) / ZZ(L[i] + L[j]) for j in range(len(L)) for i in range(j)) ----------------------------------------------------------------------------- Statistic values: [1] => 1 [2] => 1 [1,1] => 0 [3] => 1 [2,1] => 1 [1,1,1] => 0 [4] => 1 [3,1] => 2 [2,2] => 0 [2,1,1] => 0 [1,1,1,1] => 0 [5] => 1 [4,1] => 3 [3,2] => 2 [3,1,1] => 0 [2,2,1] => 0 [2,1,1,1] => 0 [1,1,1,1,1] => 0 [6] => 1 [5,1] => 4 [4,2] => 5 [4,1,1] => 0 [3,3] => 0 [3,2,1] => 2 [3,1,1,1] => 0 [2,2,2] => 0 [2,2,1,1] => 0 [2,1,1,1,1] => 0 [1,1,1,1,1,1] => 0 [7] => 1 [6,1] => 5 [5,2] => 9 [5,1,1] => 0 [4,3] => 5 [4,2,1] => 7 [4,1,1,1] => 0 [3,3,1] => 0 [3,2,2] => 0 [3,2,1,1] => 0 [3,1,1,1,1] => 0 [2,2,2,1] => 0 [2,2,1,1,1] => 0 [2,1,1,1,1,1] => 0 [1,1,1,1,1,1,1] => 0 [8] => 1 [7,1] => 6 [6,2] => 14 [6,1,1] => 0 [5,3] => 14 [5,2,1] => 16 [5,1,1,1] => 0 [4,4] => 0 [4,3,1] => 12 [4,2,2] => 0 [4,2,1,1] => 0 [4,1,1,1,1] => 0 [3,3,2] => 0 [3,3,1,1] => 0 [3,2,2,1] => 0 [3,2,1,1,1] => 0 [3,1,1,1,1,1] => 0 [2,2,2,2] => 0 [2,2,2,1,1] => 0 [2,2,1,1,1,1] => 0 [2,1,1,1,1,1,1] => 0 [1,1,1,1,1,1,1,1] => 0 [9] => 1 [8,1] => 7 [7,2] => 20 [7,1,1] => 0 [6,3] => 28 [6,2,1] => 30 [6,1,1,1] => 0 [5,4] => 14 [5,3,1] => 42 [5,2,2] => 0 [5,2,1,1] => 0 [5,1,1,1,1] => 0 [4,4,1] => 0 [4,3,2] => 12 [4,3,1,1] => 0 [4,2,2,1] => 0 [4,2,1,1,1] => 0 [4,1,1,1,1,1] => 0 [3,3,3] => 0 [3,3,2,1] => 0 [3,3,1,1,1] => 0 [3,2,2,2] => 0 [3,2,2,1,1] => 0 [3,2,1,1,1,1] => 0 [3,1,1,1,1,1,1] => 0 [2,2,2,2,1] => 0 [2,2,2,1,1,1] => 0 [2,2,1,1,1,1,1] => 0 [2,1,1,1,1,1,1,1] => 0 [1,1,1,1,1,1,1,1,1] => 0 [10] => 1 [9,1] => 8 [8,2] => 27 [8,1,1] => 0 [7,3] => 48 [7,2,1] => 50 [7,1,1,1] => 0 [6,4] => 42 [6,3,1] => 100 [6,2,2] => 0 [6,2,1,1] => 0 [6,1,1,1,1] => 0 [5,5] => 0 [5,4,1] => 56 [5,3,2] => 54 [5,3,1,1] => 0 [5,2,2,1] => 0 [5,2,1,1,1] => 0 [5,1,1,1,1,1] => 0 [4,4,2] => 0 [4,4,1,1] => 0 [4,3,3] => 0 [4,3,2,1] => 12 [4,3,1,1,1] => 0 [4,2,2,2] => 0 [4,2,2,1,1] => 0 [4,2,1,1,1,1] => 0 [4,1,1,1,1,1,1] => 0 [3,3,3,1] => 0 [3,3,2,2] => 0 [3,3,2,1,1] => 0 [3,3,1,1,1,1] => 0 [3,2,2,2,1] => 0 [3,2,2,1,1,1] => 0 [3,2,1,1,1,1,1] => 0 [3,1,1,1,1,1,1,1] => 0 [2,2,2,2,2] => 0 [2,2,2,2,1,1] => 0 [2,2,2,1,1,1,1] => 0 [2,2,1,1,1,1,1,1] => 0 [2,1,1,1,1,1,1,1,1] => 0 [1,1,1,1,1,1,1,1,1,1] => 0 [11] => 1 [10,1] => 9 [9,2] => 35 [9,1,1] => 0 [8,3] => 75 [8,2,1] => 77 [8,1,1,1] => 0 [7,4] => 90 [7,3,1] => 198 [7,2,2] => 0 [7,2,1,1] => 0 [7,1,1,1,1] => 0 [6,5] => 42 [6,4,1] => 198 [6,3,2] => 154 [6,3,1,1] => 0 [6,2,2,1] => 0 [6,2,1,1,1] => 0 [6,1,1,1,1,1] => 0 [5,5,1] => 0 [5,4,2] => 110 [5,4,1,1] => 0 [5,3,3] => 0 [5,3,2,1] => 66 [5,3,1,1,1] => 0 [5,2,2,2] => 0 [5,2,2,1,1] => 0 [5,2,1,1,1,1] => 0 [5,1,1,1,1,1,1] => 0 [4,4,3] => 0 [4,4,2,1] => 0 [4,4,1,1,1] => 0 [4,3,3,1] => 0 [4,3,2,2] => 0 [4,3,2,1,1] => 0 [4,3,1,1,1,1] => 0 [4,2,2,2,1] => 0 [4,2,2,1,1,1] => 0 [4,2,1,1,1,1,1] => 0 [4,1,1,1,1,1,1,1] => 0 [3,3,3,2] => 0 [3,3,3,1,1] => 0 [3,3,2,2,1] => 0 [3,3,2,1,1,1] => 0 [3,3,1,1,1,1,1] => 0 [3,2,2,2,2] => 0 [3,2,2,2,1,1] => 0 [3,2,2,1,1,1,1] => 0 [3,2,1,1,1,1,1,1] => 0 [3,1,1,1,1,1,1,1,1] => 0 [2,2,2,2,2,1] => 0 [2,2,2,2,1,1,1] => 0 [2,2,2,1,1,1,1,1] => 0 [2,2,1,1,1,1,1,1,1] => 0 [2,1,1,1,1,1,1,1,1,1] => 0 [1,1,1,1,1,1,1,1,1,1,1] => 0 [12] => 1 [11,1] => 10 [10,2] => 44 [10,1,1] => 0 [9,3] => 110 [9,2,1] => 112 [9,1,1,1] => 0 [8,4] => 165 [8,3,1] => 350 [8,2,2] => 0 [8,2,1,1] => 0 [8,1,1,1,1] => 0 [7,5] => 132 [7,4,1] => 486 [7,3,2] => 352 [7,3,1,1] => 0 [7,2,2,1] => 0 [7,2,1,1,1] => 0 [7,1,1,1,1,1] => 0 [6,6] => 0 [6,5,1] => 240 [6,4,2] => 462 [6,4,1,1] => 0 [6,3,3] => 0 [6,3,2,1] => 220 [6,3,1,1,1] => 0 [6,2,2,2] => 0 [6,2,2,1,1] => 0 [6,2,1,1,1,1] => 0 [6,1,1,1,1,1,1] => 0 [5,5,2] => 0 [5,5,1,1] => 0 [5,4,3] => 110 [5,4,2,1] => 176 [5,4,1,1,1] => 0 [5,3,3,1] => 0 [5,3,2,2] => 0 [5,3,2,1,1] => 0 [5,3,1,1,1,1] => 0 [5,2,2,2,1] => 0 [5,2,2,1,1,1] => 0 [5,2,1,1,1,1,1] => 0 [5,1,1,1,1,1,1,1] => 0 [4,4,4] => 0 [4,4,3,1] => 0 [4,4,2,2] => 0 [4,4,2,1,1] => 0 [4,4,1,1,1,1] => 0 [4,3,3,2] => 0 [4,3,3,1,1] => 0 [4,3,2,2,1] => 0 [4,3,2,1,1,1] => 0 [4,3,1,1,1,1,1] => 0 [4,2,2,2,2] => 0 [4,2,2,2,1,1] => 0 [4,2,2,1,1,1,1] => 0 [4,2,1,1,1,1,1,1] => 0 [4,1,1,1,1,1,1,1,1] => 0 [3,3,3,3] => 0 [3,3,3,2,1] => 0 [3,3,3,1,1,1] => 0 [3,3,2,2,2] => 0 [3,3,2,2,1,1] => 0 [3,3,2,1,1,1,1] => 0 [3,3,1,1,1,1,1,1] => 0 [3,2,2,2,2,1] => 0 [3,2,2,2,1,1,1] => 0 [3,2,2,1,1,1,1,1] => 0 [3,2,1,1,1,1,1,1,1] => 0 [3,1,1,1,1,1,1,1,1,1] => 0 [2,2,2,2,2,2] => 0 [2,2,2,2,2,1,1] => 0 [2,2,2,2,1,1,1,1] => 0 [2,2,2,1,1,1,1,1,1] => 0 [2,2,1,1,1,1,1,1,1,1] => 0 [2,1,1,1,1,1,1,1,1,1,1] => 0 [1,1,1,1,1,1,1,1,1,1,1,1] => 0 [13] => 1 [12,1] => 11 [11,2] => 54 [11,1,1] => 0 [10,3] => 154 [10,2,1] => 156 [10,1,1,1] => 0 [9,4] => 275 [9,3,1] => 572 [9,2,2] => 0 [9,2,1,1] => 0 [9,1,1,1,1] => 0 [8,5] => 297 [8,4,1] => 1001 [8,3,2] => 702 [8,3,1,1] => 0 [8,2,2,1] => 0 [8,2,1,1,1] => 0 [8,1,1,1,1,1] => 0 [7,6] => 132 [7,5,1] => 858 [7,4,2] => 1300 [7,4,1,1] => 0 [7,3,3] => 0 [7,3,2,1] => 572 [7,3,1,1,1] => 0 [7,2,2,2] => 0 [7,2,2,1,1] => 0 [7,2,1,1,1,1] => 0 [7,1,1,1,1,1,1] => 0 [6,6,1] => 0 [6,5,2] => 702 [6,5,1,1] => 0 [6,4,3] => 572 [6,4,2,1] => 858 [6,4,1,1,1] => 0 [6,3,3,1] => 0 [6,3,2,2] => 0 [6,3,2,1,1] => 0 [6,3,1,1,1,1] => 0 [6,2,2,2,1] => 0 [6,2,2,1,1,1] => 0 [6,2,1,1,1,1,1] => 0 [6,1,1,1,1,1,1,1] => 0 [5,5,3] => 0 [5,5,2,1] => 0 [5,5,1,1,1] => 0 [5,4,4] => 0 [5,4,3,1] => 286 [5,4,2,2] => 0 [5,4,2,1,1] => 0 [5,4,1,1,1,1] => 0 [5,3,3,2] => 0 [5,3,3,1,1] => 0 [5,3,2,2,1] => 0 [5,3,2,1,1,1] => 0 [5,3,1,1,1,1,1] => 0 [5,2,2,2,2] => 0 [5,2,2,2,1,1] => 0 [5,2,2,1,1,1,1] => 0 [5,2,1,1,1,1,1,1] => 0 [5,1,1,1,1,1,1,1,1] => 0 [4,4,4,1] => 0 [4,4,3,2] => 0 [4,4,3,1,1] => 0 [4,4,2,2,1] => 0 [4,4,2,1,1,1] => 0 [4,4,1,1,1,1,1] => 0 [4,3,3,3] => 0 [4,3,3,2,1] => 0 [4,3,3,1,1,1] => 0 [4,3,2,2,2] => 0 [4,3,2,2,1,1] => 0 [4,3,2,1,1,1,1] => 0 [4,3,1,1,1,1,1,1] => 0 [4,2,2,2,2,1] => 0 [4,2,2,2,1,1,1] => 0 [4,2,2,1,1,1,1,1] => 0 [4,2,1,1,1,1,1,1,1] => 0 [4,1,1,1,1,1,1,1,1,1] => 0 [3,3,3,3,1] => 0 [3,3,3,2,2] => 0 [3,3,3,2,1,1] => 0 [3,3,3,1,1,1,1] => 0 [3,3,2,2,2,1] => 0 [3,3,2,2,1,1,1] => 0 [3,3,2,1,1,1,1,1] => 0 [3,3,1,1,1,1,1,1,1] => 0 [3,2,2,2,2,2] => 0 [3,2,2,2,2,1,1] => 0 [3,2,2,2,1,1,1,1] => 0 [3,2,2,1,1,1,1,1,1] => 0 [3,2,1,1,1,1,1,1,1,1] => 0 [3,1,1,1,1,1,1,1,1,1,1] => 0 [2,2,2,2,2,2,1] => 0 [2,2,2,2,2,1,1,1] => 0 [2,2,2,2,1,1,1,1,1] => 0 [2,2,2,1,1,1,1,1,1,1] => 0 [2,2,1,1,1,1,1,1,1,1,1] => 0 [2,1,1,1,1,1,1,1,1,1,1,1] => 0 [1,1,1,1,1,1,1,1,1,1,1,1,1] => 0 [14] => 1 [13,1] => 12 [12,2] => 65 [12,1,1] => 0 [11,3] => 208 [11,2,1] => 210 [11,1,1,1] => 0 [10,4] => 429 [10,3,1] => 882 [10,2,2] => 0 [10,2,1,1] => 0 [10,1,1,1,1] => 0 [9,5] => 572 [9,4,1] => 1848 [9,3,2] => 1274 [9,3,1,1] => 0 [9,2,2,1] => 0 [9,2,1,1,1] => 0 [9,1,1,1,1,1] => 0 [8,6] => 429 [8,5,1] => 2156 [8,4,2] => 3003 [8,4,1,1] => 0 [8,3,3] => 0 [8,3,2,1] => 1274 [8,3,1,1,1] => 0 [8,2,2,2] => 0 [8,2,2,1,1] => 0 [8,2,1,1,1,1] => 0 [8,1,1,1,1,1,1] => 0 [7,7] => 0 [7,6,1] => 990 [7,5,2] => 2860 [7,5,1,1] => 0 [7,4,3] => 1872 [7,4,2,1] => 2730 [7,4,1,1,1] => 0 [7,3,3,1] => 0 [7,3,2,2] => 0 [7,3,2,1,1] => 0 [7,3,1,1,1,1] => 0 [7,2,2,2,1] => 0 [7,2,2,1,1,1] => 0 [7,2,1,1,1,1,1] => 0 [7,1,1,1,1,1,1,1] => 0 [6,6,2] => 0 [6,6,1,1] => 0 [6,5,3] => 1274 [6,5,2,1] => 1560 [6,5,1,1,1] => 0 [6,4,4] => 0 [6,4,3,1] => 1716 [6,4,2,2] => 0 [6,4,2,1,1] => 0 [6,4,1,1,1,1] => 0 [6,3,3,2] => 0 [6,3,3,1,1] => 0 [6,3,2,2,1] => 0 [6,3,2,1,1,1] => 0 [6,3,1,1,1,1,1] => 0 [6,2,2,2,2] => 0 [6,2,2,2,1,1] => 0 [6,2,2,1,1,1,1] => 0 [6,2,1,1,1,1,1,1] => 0 [6,1,1,1,1,1,1,1,1] => 0 [5,5,4] => 0 [5,5,3,1] => 0 [5,5,2,2] => 0 [5,5,2,1,1] => 0 [5,5,1,1,1,1] => 0 [5,4,4,1] => 0 [5,4,3,2] => 286 [5,4,3,1,1] => 0 [5,4,2,2,1] => 0 [5,4,2,1,1,1] => 0 [5,4,1,1,1,1,1] => 0 [5,3,3,3] => 0 [5,3,3,2,1] => 0 [5,3,3,1,1,1] => 0 [5,3,2,2,2] => 0 [5,3,2,2,1,1] => 0 [5,3,2,1,1,1,1] => 0 [5,3,1,1,1,1,1,1] => 0 [5,2,2,2,2,1] => 0 [5,2,2,2,1,1,1] => 0 [5,2,2,1,1,1,1,1] => 0 [5,2,1,1,1,1,1,1,1] => 0 [5,1,1,1,1,1,1,1,1,1] => 0 [4,4,4,2] => 0 [4,4,4,1,1] => 0 [4,4,3,3] => 0 [4,4,3,2,1] => 0 [4,4,3,1,1,1] => 0 [4,4,2,2,2] => 0 [4,4,2,2,1,1] => 0 [4,4,2,1,1,1,1] => 0 [4,4,1,1,1,1,1,1] => 0 [4,3,3,3,1] => 0 [4,3,3,2,2] => 0 [4,3,3,2,1,1] => 0 [4,3,3,1,1,1,1] => 0 [4,3,2,2,2,1] => 0 [4,3,2,2,1,1,1] => 0 [4,3,2,1,1,1,1,1] => 0 [4,3,1,1,1,1,1,1,1] => 0 [4,2,2,2,2,2] => 0 [4,2,2,2,2,1,1] => 0 [4,2,2,2,1,1,1,1] => 0 [4,2,2,1,1,1,1,1,1] => 0 [4,2,1,1,1,1,1,1,1,1] => 0 [4,1,1,1,1,1,1,1,1,1,1] => 0 [3,3,3,3,2] => 0 [3,3,3,3,1,1] => 0 [3,3,3,2,2,1] => 0 [3,3,3,2,1,1,1] => 0 [3,3,3,1,1,1,1,1] => 0 [3,3,2,2,2,2] => 0 [3,3,2,2,2,1,1] => 0 [3,3,2,2,1,1,1,1] => 0 [3,3,2,1,1,1,1,1,1] => 0 [3,3,1,1,1,1,1,1,1,1] => 0 [3,2,2,2,2,2,1] => 0 [3,2,2,2,2,1,1,1] => 0 [3,2,2,2,1,1,1,1,1] => 0 [3,2,2,1,1,1,1,1,1,1] => 0 [3,2,1,1,1,1,1,1,1,1,1] => 0 [3,1,1,1,1,1,1,1,1,1,1,1] => 0 [2,2,2,2,2,2,2] => 0 [2,2,2,2,2,2,1,1] => 0 [2,2,2,2,2,1,1,1,1] => 0 [2,2,2,2,1,1,1,1,1,1] => 0 [2,2,2,1,1,1,1,1,1,1,1] => 0 [2,2,1,1,1,1,1,1,1,1,1,1] => 0 [2,1,1,1,1,1,1,1,1,1,1,1,1] => 0 [1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 0 [15] => 1 [14,1] => 13 [13,2] => 77 [13,1,1] => 0 [12,3] => 273 [12,2,1] => 275 [12,1,1,1] => 0 [11,4] => 637 [11,3,1] => 1300 [11,2,2] => 0 [11,2,1,1] => 0 [11,1,1,1,1] => 0 [10,5] => 1001 [10,4,1] => 3159 [10,3,2] => 2156 [10,3,1,1] => 0 [10,2,2,1] => 0 [10,2,1,1,1] => 0 [10,1,1,1,1,1] => 0 [9,6] => 1001 [9,5,1] => 4576 [9,4,2] => 6125 [9,4,1,1] => 0 [9,3,3] => 0 [9,3,2,1] => 2548 [9,3,1,1,1] => 0 [9,2,2,2] => 0 [9,2,2,1,1] => 0 [9,2,1,1,1,1] => 0 [9,1,1,1,1,1,1] => 0 [8,7] => 429 [8,6,1] => 3575 [8,5,2] => 8019 [8,5,1,1] => 0 [8,4,3] => 4875 [8,4,2,1] => 7007 [8,4,1,1,1] => 0 [8,3,3,1] => 0 [8,3,2,2] => 0 [8,3,2,1,1] => 0 [8,3,1,1,1,1] => 0 [8,2,2,2,1] => 0 [8,2,2,1,1,1] => 0 [8,2,1,1,1,1,1] => 0 [8,1,1,1,1,1,1,1] => 0 [7,7,1] => 0 [7,6,2] => 3850 [7,6,1,1] => 0 [7,5,3] => 6006 [7,5,2,1] => 7150 [7,5,1,1,1] => 0 [7,4,4] => 0 [7,4,3,1] => 6318 [7,4,2,2] => 0 [7,4,2,1,1] => 0 [7,4,1,1,1,1] => 0 [7,3,3,2] => 0 [7,3,3,1,1] => 0 [7,3,2,2,1] => 0 [7,3,2,1,1,1] => 0 [7,3,1,1,1,1,1] => 0 [7,2,2,2,2] => 0 [7,2,2,2,1,1] => 0 [7,2,2,1,1,1,1] => 0 [7,2,1,1,1,1,1,1] => 0 [7,1,1,1,1,1,1,1,1] => 0 [6,6,3] => 0 [6,6,2,1] => 0 [6,6,1,1,1] => 0 [6,5,4] => 1274 [6,5,3,1] => 4550 [6,5,2,2] => 0 [6,5,2,1,1] => 0 [6,5,1,1,1,1] => 0 [6,4,4,1] => 0 [6,4,3,2] => 2002 [6,4,3,1,1] => 0 [6,4,2,2,1] => 0 [6,4,2,1,1,1] => 0 [6,4,1,1,1,1,1] => 0 [6,3,3,3] => 0 [6,3,3,2,1] => 0 [6,3,3,1,1,1] => 0 [6,3,2,2,2] => 0 [6,3,2,2,1,1] => 0 [6,3,2,1,1,1,1] => 0 [6,3,1,1,1,1,1,1] => 0 [6,2,2,2,2,1] => 0 [6,2,2,2,1,1,1] => 0 [6,2,2,1,1,1,1,1] => 0 [6,2,1,1,1,1,1,1,1] => 0 [6,1,1,1,1,1,1,1,1,1] => 0 [5,5,5] => 0 [5,5,4,1] => 0 [5,5,3,2] => 0 [5,5,3,1,1] => 0 [5,5,2,2,1] => 0 [5,5,2,1,1,1] => 0 [5,5,1,1,1,1,1] => 0 [5,4,4,2] => 0 [5,4,4,1,1] => 0 [5,4,3,3] => 0 [5,4,3,2,1] => 286 [5,4,3,1,1,1] => 0 [5,4,2,2,2] => 0 [5,4,2,2,1,1] => 0 [5,4,2,1,1,1,1] => 0 [5,4,1,1,1,1,1,1] => 0 [5,3,3,3,1] => 0 [5,3,3,2,2] => 0 [5,3,3,2,1,1] => 0 [5,3,3,1,1,1,1] => 0 [5,3,2,2,2,1] => 0 [5,3,2,2,1,1,1] => 0 [5,3,2,1,1,1,1,1] => 0 [5,3,1,1,1,1,1,1,1] => 0 [5,2,2,2,2,2] => 0 [5,2,2,2,2,1,1] => 0 [5,2,2,2,1,1,1,1] => 0 [5,2,2,1,1,1,1,1,1] => 0 [5,2,1,1,1,1,1,1,1,1] => 0 [5,1,1,1,1,1,1,1,1,1,1] => 0 [4,4,4,3] => 0 [4,4,4,2,1] => 0 [4,4,4,1,1,1] => 0 [4,4,3,3,1] => 0 [4,4,3,2,2] => 0 [4,4,3,2,1,1] => 0 [4,4,3,1,1,1,1] => 0 [4,4,2,2,2,1] => 0 [4,4,2,2,1,1,1] => 0 [4,4,2,1,1,1,1,1] => 0 [4,4,1,1,1,1,1,1,1] => 0 [4,3,3,3,2] => 0 [4,3,3,3,1,1] => 0 [4,3,3,2,2,1] => 0 [4,3,3,2,1,1,1] => 0 [4,3,3,1,1,1,1,1] => 0 [4,3,2,2,2,2] => 0 [4,3,2,2,2,1,1] => 0 [4,3,2,2,1,1,1,1] => 0 [4,3,2,1,1,1,1,1,1] => 0 [4,3,1,1,1,1,1,1,1,1] => 0 [4,2,2,2,2,2,1] => 0 [4,2,2,2,2,1,1,1] => 0 [4,2,2,2,1,1,1,1,1] => 0 [4,2,2,1,1,1,1,1,1,1] => 0 [4,2,1,1,1,1,1,1,1,1,1] => 0 [4,1,1,1,1,1,1,1,1,1,1,1] => 0 [3,3,3,3,3] => 0 [3,3,3,3,2,1] => 0 [3,3,3,3,1,1,1] => 0 [3,3,3,2,2,2] => 0 [3,3,3,2,2,1,1] => 0 [3,3,3,2,1,1,1,1] => 0 [3,3,3,1,1,1,1,1,1] => 0 [3,3,2,2,2,2,1] => 0 [3,3,2,2,2,1,1,1] => 0 [3,3,2,2,1,1,1,1,1] => 0 [3,3,2,1,1,1,1,1,1,1] => 0 [3,3,1,1,1,1,1,1,1,1,1] => 0 [3,2,2,2,2,2,2] => 0 [3,2,2,2,2,2,1,1] => 0 [3,2,2,2,2,1,1,1,1] => 0 [3,2,2,2,1,1,1,1,1,1] => 0 [3,2,2,1,1,1,1,1,1,1,1] => 0 [3,2,1,1,1,1,1,1,1,1,1,1] => 0 [3,1,1,1,1,1,1,1,1,1,1,1,1] => 0 [2,2,2,2,2,2,2,1] => 0 [2,2,2,2,2,2,1,1,1] => 0 [2,2,2,2,2,1,1,1,1,1] => 0 [2,2,2,2,1,1,1,1,1,1,1] => 0 [2,2,2,1,1,1,1,1,1,1,1,1] => 0 [2,2,1,1,1,1,1,1,1,1,1,1,1] => 0 [2,1,1,1,1,1,1,1,1,1,1,1,1,1] => 0 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 0 [16] => 1 [15,1] => 14 [14,2] => 90 [14,1,1] => 0 [13,3] => 350 [13,2,1] => 352 [13,1,1,1] => 0 [12,4] => 910 [12,3,1] => 1848 [12,2,2] => 0 [12,2,1,1] => 0 [12,1,1,1,1] => 0 [11,5] => 1638 [11,4,1] => 5096 [11,3,2] => 3456 [11,3,1,1] => 0 [11,2,2,1] => 0 [11,2,1,1,1] => 0 [11,1,1,1,1,1] => 0 [10,6] => 2002 [10,5,1] => 8736 [10,4,2] => 11440 [10,4,1,1] => 0 [10,3,3] => 0 [10,3,2,1] => 4704 [10,3,1,1,1] => 0 [10,2,2,2] => 0 [10,2,2,1,1] => 0 [10,2,1,1,1,1] => 0 [10,1,1,1,1,1,1] => 0 [9,7] => 1430 [9,6,1] => 9152 [9,5,2] => 18720 [9,5,1,1] => 0 [9,4,3] => 11000 [9,4,2,1] => 15680 [9,4,1,1,1] => 0 [9,3,3,1] => 0 [9,3,2,2] => 0 [9,3,2,1,1] => 0 [9,3,1,1,1,1] => 0 [9,2,2,2,1] => 0 [9,2,2,1,1,1] => 0 [9,2,1,1,1,1,1] => 0 [9,1,1,1,1,1,1,1] => 0 [8,8] => 0 [8,7,1] => 4004 [8,6,2] => 15444 [8,6,1,1] => 0 [8,5,3] => 18900 [8,5,2,1] => 22176 [8,5,1,1,1] => 0 [8,4,4] => 0 [8,4,3,1] => 18200 [8,4,2,2] => 0 [8,4,2,1,1] => 0 [8,4,1,1,1,1] => 0 [8,3,3,2] => 0 [8,3,3,1,1] => 0 [8,3,2,2,1] => 0 [8,3,2,1,1,1] => 0 [8,3,1,1,1,1,1] => 0 [8,2,2,2,2] => 0 [8,2,2,2,1,1] => 0 [8,2,2,1,1,1,1] => 0 [8,2,1,1,1,1,1,1] => 0 [8,1,1,1,1,1,1,1,1] => 0 [7,7,2] => 0 [7,7,1,1] => 0 [7,6,3] => 9856 [7,6,2,1] => 11000 [7,6,1,1,1] => 0 [7,5,4] => 7280 [7,5,3,1] => 24024 [7,5,2,2] => 0 [7,5,2,1,1] => 0 [7,5,1,1,1,1] => 0 [7,4,4,1] => 0 [7,4,3,2] => 8320 [7,4,3,1,1] => 0 [7,4,2,2,1] => 0 [7,4,2,1,1,1] => 0 [7,4,1,1,1,1,1] => 0 [7,3,3,3] => 0 [7,3,3,2,1] => 0 [7,3,3,1,1,1] => 0 [7,3,2,2,2] => 0 [7,3,2,2,1,1] => 0 [7,3,2,1,1,1,1] => 0 [7,3,1,1,1,1,1,1] => 0 [7,2,2,2,2,1] => 0 [7,2,2,2,1,1,1] => 0 [7,2,2,1,1,1,1,1] => 0 [7,2,1,1,1,1,1,1,1] => 0 [7,1,1,1,1,1,1,1,1,1] => 0 [6,6,4] => 0 [6,6,3,1] => 0 [6,6,2,2] => 0 [6,6,2,1,1] => 0 [6,6,1,1,1,1] => 0 [6,5,5] => 0 [6,5,4,1] => 5824 [6,5,3,2] => 6552 [6,5,3,1,1] => 0 [6,5,2,2,1] => 0 [6,5,2,1,1,1] => 0 [6,5,1,1,1,1,1] => 0 [6,4,4,2] => 0 [6,4,4,1,1] => 0 [6,4,3,3] => 0 [6,4,3,2,1] => 2288 [6,4,3,1,1,1] => 0 [6,4,2,2,2] => 0 [6,4,2,2,1,1] => 0 [6,4,2,1,1,1,1] => 0 [6,4,1,1,1,1,1,1] => 0 [6,3,3,3,1] => 0 [6,3,3,2,2] => 0 [6,3,3,2,1,1] => 0 [6,3,3,1,1,1,1] => 0 [6,3,2,2,2,1] => 0 [6,3,2,2,1,1,1] => 0 [6,3,2,1,1,1,1,1] => 0 [6,3,1,1,1,1,1,1,1] => 0 [6,2,2,2,2,2] => 0 [6,2,2,2,2,1,1] => 0 [6,2,2,2,1,1,1,1] => 0 [6,2,2,1,1,1,1,1,1] => 0 [6,2,1,1,1,1,1,1,1,1] => 0 [6,1,1,1,1,1,1,1,1,1,1] => 0 [5,5,5,1] => 0 [5,5,4,2] => 0 [5,5,4,1,1] => 0 [5,5,3,3] => 0 [5,5,3,2,1] => 0 [5,5,3,1,1,1] => 0 [5,5,2,2,2] => 0 [5,5,2,2,1,1] => 0 [5,5,2,1,1,1,1] => 0 [5,5,1,1,1,1,1,1] => 0 [5,4,4,3] => 0 [5,4,4,2,1] => 0 [5,4,4,1,1,1] => 0 [5,4,3,3,1] => 0 [5,4,3,2,2] => 0 [5,4,3,2,1,1] => 0 [5,4,3,1,1,1,1] => 0 [5,4,2,2,2,1] => 0 [5,4,2,2,1,1,1] => 0 [5,4,2,1,1,1,1,1] => 0 [5,4,1,1,1,1,1,1,1] => 0 [5,3,3,3,2] => 0 [5,3,3,3,1,1] => 0 [5,3,3,2,2,1] => 0 [5,3,3,2,1,1,1] => 0 [5,3,3,1,1,1,1,1] => 0 [5,3,2,2,2,2] => 0 [5,3,2,2,2,1,1] => 0 [5,3,2,2,1,1,1,1] => 0 [5,3,2,1,1,1,1,1,1] => 0 [5,3,1,1,1,1,1,1,1,1] => 0 [5,2,2,2,2,2,1] => 0 [5,2,2,2,2,1,1,1] => 0 [5,2,2,2,1,1,1,1,1] => 0 [5,2,2,1,1,1,1,1,1,1] => 0 [5,2,1,1,1,1,1,1,1,1,1] => 0 [5,1,1,1,1,1,1,1,1,1,1,1] => 0 [4,4,4,4] => 0 [4,4,4,3,1] => 0 [4,4,4,2,2] => 0 [4,4,4,2,1,1] => 0 [4,4,4,1,1,1,1] => 0 [4,4,3,3,2] => 0 [4,4,3,3,1,1] => 0 [4,4,3,2,2,1] => 0 [4,4,3,2,1,1,1] => 0 [4,4,3,1,1,1,1,1] => 0 [4,4,2,2,2,2] => 0 [4,4,2,2,2,1,1] => 0 [4,4,2,2,1,1,1,1] => 0 [4,4,2,1,1,1,1,1,1] => 0 [4,4,1,1,1,1,1,1,1,1] => 0 [4,3,3,3,3] => 0 [4,3,3,3,2,1] => 0 [4,3,3,3,1,1,1] => 0 [4,3,3,2,2,2] => 0 [4,3,3,2,2,1,1] => 0 [4,3,3,2,1,1,1,1] => 0 [4,3,3,1,1,1,1,1,1] => 0 [4,3,2,2,2,2,1] => 0 [4,3,2,2,2,1,1,1] => 0 [4,3,2,2,1,1,1,1,1] => 0 [4,3,2,1,1,1,1,1,1,1] => 0 [4,3,1,1,1,1,1,1,1,1,1] => 0 [4,2,2,2,2,2,2] => 0 [4,2,2,2,2,2,1,1] => 0 [4,2,2,2,2,1,1,1,1] => 0 [4,2,2,2,1,1,1,1,1,1] => 0 [4,2,2,1,1,1,1,1,1,1,1] => 0 [4,2,1,1,1,1,1,1,1,1,1,1] => 0 [4,1,1,1,1,1,1,1,1,1,1,1,1] => 0 [3,3,3,3,3,1] => 0 [3,3,3,3,2,2] => 0 [3,3,3,3,2,1,1] => 0 [3,3,3,3,1,1,1,1] => 0 [3,3,3,2,2,2,1] => 0 [3,3,3,2,2,1,1,1] => 0 [3,3,3,2,1,1,1,1,1] => 0 [3,3,3,1,1,1,1,1,1,1] => 0 [3,3,2,2,2,2,2] => 0 [3,3,2,2,2,2,1,1] => 0 [3,3,2,2,2,1,1,1,1] => 0 [3,3,2,2,1,1,1,1,1,1] => 0 [3,3,2,1,1,1,1,1,1,1,1] => 0 [3,3,1,1,1,1,1,1,1,1,1,1] => 0 [3,2,2,2,2,2,2,1] => 0 [3,2,2,2,2,2,1,1,1] => 0 [3,2,2,2,2,1,1,1,1,1] => 0 [3,2,2,2,1,1,1,1,1,1,1] => 0 [3,2,2,1,1,1,1,1,1,1,1,1] => 0 [3,2,1,1,1,1,1,1,1,1,1,1,1] => 0 [3,1,1,1,1,1,1,1,1,1,1,1,1,1] => 0 [2,2,2,2,2,2,2,2] => 0 [2,2,2,2,2,2,2,1,1] => 0 [2,2,2,2,2,2,1,1,1,1] => 0 [2,2,2,2,2,1,1,1,1,1,1] => 0 [2,2,2,2,1,1,1,1,1,1,1,1] => 0 [2,2,2,1,1,1,1,1,1,1,1,1,1] => 0 [2,2,1,1,1,1,1,1,1,1,1,1,1,1] => 0 [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 0 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 0 [17] => 1 [16,1] => 15 [15,2] => 104 [15,1,1] => 0 [14,3] => 440 [14,2,1] => 442 [14,1,1,1] => 0 [13,4] => 1260 [13,3,1] => 2550 [13,2,2] => 0 [13,2,1,1] => 0 [13,1,1,1,1] => 0 [12,5] => 2548 [12,4,1] => 7854 [12,3,2] => 5304 [12,3,1,1] => 0 [12,2,2,1] => 0 [12,2,1,1,1] => 0 [12,1,1,1,1,1] => 0 [11,6] => 3640 [11,5,1] => 15470 [11,4,2] => 19992 [11,4,1,1] => 0 [11,3,3] => 0 [11,3,2,1] => 8160 [11,3,1,1,1] => 0 [11,2,2,2] => 0 [11,2,2,1,1] => 0 [11,2,1,1,1,1] => 0 [11,1,1,1,1,1,1] => 0 [10,7] => 3432 [10,6,1] => 19890 [10,5,2] => 38896 [10,5,1,1] => 0 [10,4,3] => 22440 [10,4,2,1] => 31824 [10,4,1,1,1] => 0 [10,3,3,1] => 0 [10,3,2,2] => 0 [10,3,2,1,1] => 0 [10,3,1,1,1,1] => 0 [10,2,2,2,1] => 0 [10,2,2,1,1,1] => 0 [10,2,1,1,1,1,1] => 0 [10,1,1,1,1,1,1,1] => 0 [9,8] => 1430 [9,7,1] => 14586 [9,6,2] => 43316 [9,6,1,1] => 0 [9,5,3] => 48620 [9,5,2,1] => 56576 [9,5,1,1,1] => 0 [9,4,4] => 0 [9,4,3,1] => 44880 [9,4,2,2] => 0 [9,4,2,1,1] => 0 [9,4,1,1,1,1] => 0 [9,3,3,2] => 0 [9,3,3,1,1] => 0 [9,3,2,2,1] => 0 [9,3,2,1,1,1] => 0 [9,3,1,1,1,1,1] => 0 [9,2,2,2,2] => 0 [9,2,2,2,1,1] => 0 [9,2,2,1,1,1,1] => 0 [9,2,1,1,1,1,1,1] => 0 [9,1,1,1,1,1,1,1,1] => 0 [8,8,1] => 0 [8,7,2] => 19448 [8,7,1,1] => 0 [8,6,3] => 44200 [8,6,2,1] => 48620 [8,6,1,1,1] => 0 [8,5,4] => 26180 [8,5,3,1] => 83300 [8,5,2,2] => 0 [8,5,2,1,1] => 0 [8,5,1,1,1,1] => 0 [8,4,4,1] => 0 [8,4,3,2] => 26520 [8,4,3,1,1] => 0 [8,4,2,2,1] => 0 [8,4,2,1,1,1] => 0 [8,4,1,1,1,1,1] => 0 [8,3,3,3] => 0 [8,3,3,2,1] => 0 [8,3,3,1,1,1] => 0 [8,3,2,2,2] => 0 [8,3,2,2,1,1] => 0 [8,3,2,1,1,1,1] => 0 [8,3,1,1,1,1,1,1] => 0 [8,2,2,2,2,1] => 0 [8,2,2,2,1,1,1] => 0 [8,2,2,1,1,1,1,1] => 0 [8,2,1,1,1,1,1,1,1] => 0 [8,1,1,1,1,1,1,1,1,1] => 0 [7,7,3] => 0 [7,7,2,1] => 0 [7,7,1,1,1] => 0 [7,6,4] => 17136 [7,6,3,1] => 44880 [7,6,2,2] => 0 [7,6,2,1,1] => 0 [7,6,1,1,1,1] => 0 [7,5,5] => 0 [7,5,4,1] => 37128 [7,5,3,2] => 38896 [7,5,3,1,1] => 0 [7,5,2,2,1] => 0 [7,5,2,1,1,1] => 0 [7,5,1,1,1,1,1] => 0 [7,4,4,2] => 0 [7,4,4,1,1] => 0 [7,4,3,3] => 0 [7,4,3,2,1] => 10608 [7,4,3,1,1,1] => 0 [7,4,2,2,2] => 0 [7,4,2,2,1,1] => 0 [7,4,2,1,1,1,1] => 0 [7,4,1,1,1,1,1,1] => 0 [7,3,3,3,1] => 0 [7,3,3,2,2] => 0 [7,3,3,2,1,1] => 0 [7,3,3,1,1,1,1] => 0 [7,3,2,2,2,1] => 0 [7,3,2,2,1,1,1] => 0 [7,3,2,1,1,1,1,1] => 0 [7,3,1,1,1,1,1,1,1] => 0 [7,2,2,2,2,2] => 0 [7,2,2,2,2,1,1] => 0 [7,2,2,2,1,1,1,1] => 0 [7,2,2,1,1,1,1,1,1] => 0 [7,2,1,1,1,1,1,1,1,1] => 0 [7,1,1,1,1,1,1,1,1,1,1] => 0 [6,6,5] => 0 [6,6,4,1] => 0 [6,6,3,2] => 0 [6,6,3,1,1] => 0 [6,6,2,2,1] => 0 [6,6,2,1,1,1] => 0 [6,6,1,1,1,1,1] => 0 [6,5,5,1] => 0 [6,5,4,2] => 12376 [6,5,4,1,1] => 0 [6,5,3,3] => 0 [6,5,3,2,1] => 8840 [6,5,3,1,1,1] => 0 [6,5,2,2,2] => 0 [6,5,2,2,1,1] => 0 [6,5,2,1,1,1,1] => 0 [6,5,1,1,1,1,1,1] => 0 [6,4,4,3] => 0 [6,4,4,2,1] => 0 [6,4,4,1,1,1] => 0 [6,4,3,3,1] => 0 [6,4,3,2,2] => 0 [6,4,3,2,1,1] => 0 [6,4,3,1,1,1,1] => 0 [6,4,2,2,2,1] => 0 [6,4,2,2,1,1,1] => 0 [6,4,2,1,1,1,1,1] => 0 [6,4,1,1,1,1,1,1,1] => 0 [6,3,3,3,2] => 0 [6,3,3,3,1,1] => 0 [6,3,3,2,2,1] => 0 [6,3,3,2,1,1,1] => 0 [6,3,3,1,1,1,1,1] => 0 [6,3,2,2,2,2] => 0 [6,3,2,2,2,1,1] => 0 [6,3,2,2,1,1,1,1] => 0 [6,3,2,1,1,1,1,1,1] => 0 [6,3,1,1,1,1,1,1,1,1] => 0 [6,2,2,2,2,2,1] => 0 [6,2,2,2,2,1,1,1] => 0 [6,2,2,2,1,1,1,1,1] => 0 [6,2,2,1,1,1,1,1,1,1] => 0 [6,2,1,1,1,1,1,1,1,1,1] => 0 [6,1,1,1,1,1,1,1,1,1,1,1] => 0 [5,5,5,2] => 0 [5,5,5,1,1] => 0 [5,5,4,3] => 0 [5,5,4,2,1] => 0 [5,5,4,1,1,1] => 0 [5,5,3,3,1] => 0 [5,5,3,2,2] => 0 [5,5,3,2,1,1] => 0 [5,5,3,1,1,1,1] => 0 [5,5,2,2,2,1] => 0 [5,5,2,2,1,1,1] => 0 [5,5,2,1,1,1,1,1] => 0 [5,5,1,1,1,1,1,1,1] => 0 [5,4,4,4] => 0 [5,4,4,3,1] => 0 [5,4,4,2,2] => 0 [5,4,4,2,1,1] => 0 [5,4,4,1,1,1,1] => 0 [5,4,3,3,2] => 0 [5,4,3,3,1,1] => 0 [5,4,3,2,2,1] => 0 [5,4,3,2,1,1,1] => 0 [5,4,3,1,1,1,1,1] => 0 [5,4,2,2,2,2] => 0 [5,4,2,2,2,1,1] => 0 [5,4,2,2,1,1,1,1] => 0 [5,4,2,1,1,1,1,1,1] => 0 [5,4,1,1,1,1,1,1,1,1] => 0 [5,3,3,3,3] => 0 [5,3,3,3,2,1] => 0 [5,3,3,3,1,1,1] => 0 [5,3,3,2,2,2] => 0 [5,3,3,2,2,1,1] => 0 [5,3,3,2,1,1,1,1] => 0 [5,3,3,1,1,1,1,1,1] => 0 [5,3,2,2,2,2,1] => 0 [5,3,2,2,2,1,1,1] => 0 [5,3,2,2,1,1,1,1,1] => 0 [5,3,2,1,1,1,1,1,1,1] => 0 [5,3,1,1,1,1,1,1,1,1,1] => 0 [5,2,2,2,2,2,2] => 0 [5,2,2,2,2,2,1,1] => 0 [5,2,2,2,2,1,1,1,1] => 0 [5,2,2,2,1,1,1,1,1,1] => 0 [5,2,2,1,1,1,1,1,1,1,1] => 0 [5,2,1,1,1,1,1,1,1,1,1,1] => 0 [5,1,1,1,1,1,1,1,1,1,1,1,1] => 0 [4,4,4,4,1] => 0 [4,4,4,3,2] => 0 [4,4,4,3,1,1] => 0 [4,4,4,2,2,1] => 0 [4,4,4,2,1,1,1] => 0 [4,4,4,1,1,1,1,1] => 0 [4,4,3,3,3] => 0 [4,4,3,3,2,1] => 0 [4,4,3,3,1,1,1] => 0 [4,4,3,2,2,2] => 0 [4,4,3,2,2,1,1] => 0 [4,4,3,2,1,1,1,1] => 0 [4,4,3,1,1,1,1,1,1] => 0 [4,4,2,2,2,2,1] => 0 [4,4,2,2,2,1,1,1] => 0 [4,4,2,2,1,1,1,1,1] => 0 [4,4,2,1,1,1,1,1,1,1] => 0 [4,4,1,1,1,1,1,1,1,1,1] => 0 [4,3,3,3,3,1] => 0 [4,3,3,3,2,2] => 0 [4,3,3,3,2,1,1] => 0 [4,3,3,3,1,1,1,1] => 0 [4,3,3,2,2,2,1] => 0 [4,3,3,2,2,1,1,1] => 0 [4,3,3,2,1,1,1,1,1] => 0 [4,3,3,1,1,1,1,1,1,1] => 0 [4,3,2,2,2,2,2] => 0 [4,3,2,2,2,2,1,1] => 0 [4,3,2,2,2,1,1,1,1] => 0 [4,3,2,2,1,1,1,1,1,1] => 0 [4,3,2,1,1,1,1,1,1,1,1] => 0 [4,3,1,1,1,1,1,1,1,1,1,1] => 0 [4,2,2,2,2,2,2,1] => 0 [4,2,2,2,2,2,1,1,1] => 0 [4,2,2,2,2,1,1,1,1,1] => 0 [4,2,2,2,1,1,1,1,1,1,1] => 0 [4,2,2,1,1,1,1,1,1,1,1,1] => 0 [4,2,1,1,1,1,1,1,1,1,1,1,1] => 0 [4,1,1,1,1,1,1,1,1,1,1,1,1,1] => 0 [3,3,3,3,3,2] => 0 [3,3,3,3,3,1,1] => 0 [3,3,3,3,2,2,1] => 0 [3,3,3,3,2,1,1,1] => 0 [3,3,3,3,1,1,1,1,1] => 0 [3,3,3,2,2,2,2] => 0 [3,3,3,2,2,2,1,1] => 0 [3,3,3,2,2,1,1,1,1] => 0 [3,3,3,2,1,1,1,1,1,1] => 0 [3,3,3,1,1,1,1,1,1,1,1] => 0 [3,3,2,2,2,2,2,1] => 0 [3,3,2,2,2,2,1,1,1] => 0 [3,3,2,2,2,1,1,1,1,1] => 0 [3,3,2,2,1,1,1,1,1,1,1] => 0 [3,3,2,1,1,1,1,1,1,1,1,1] => 0 [3,3,1,1,1,1,1,1,1,1,1,1,1] => 0 [3,2,2,2,2,2,2,2] => 0 [3,2,2,2,2,2,2,1,1] => 0 [3,2,2,2,2,2,1,1,1,1] => 0 [3,2,2,2,2,1,1,1,1,1,1] => 0 [3,2,2,2,1,1,1,1,1,1,1,1] => 0 [3,2,2,1,1,1,1,1,1,1,1,1,1] => 0 ----------------------------------------------------------------------------- Created: Sep 18, 2020 at 10:32 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Sep 18, 2020 at 10:32 by Christian Stump