***************************************************************************** * 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: St001262 ----------------------------------------------------------------------------- Collection: Integer partitions ----------------------------------------------------------------------------- Description: The dimension of the maximal parabolic seaweed algebra corresponding to the partition. Let $a_1,\dots,a_m$ and $b_1,\dots,b_t$ be two compositions of $n$. The corresponding seaweed algebra is the associative subalgebra of the algebra of $n\times n$ matrices which preserves the flags $$ \{0\} \subset V_1 \subset \cdots \subset V_{m-1} \subset V_m =V $$ and $$ V=W_0\supset W_1\supset \cdots \supset W_t=\{0\}, $$ where $V_i=\text{span}\{e_1,\dots, e_{a_1+\cdots +a_i}\}$ and $W_j=\text{span}\{e_{b_1+\cdots +b_j+1},\dots, e_n\}$. Thus, its dimension is $$ \frac{1}{2}\left(\sum a_i^2 + \sum b_i^2\right). $$ It is maximal parabolic if $b_1=n$. ----------------------------------------------------------------------------- References: [1] Dergachev, V., Kirillov, A. Index of Lie algebras of seaweed type [[MathSciNet:1774864]] [2] Coll, V., Mayers, A., Mayers, N. Statistics on integer partitions arising from seaweed algebras [[arXiv:1809.09271]] ----------------------------------------------------------------------------- Code: def statistic(la): return sum(p^2/2 for p in la) + la.size()^2/2 ----------------------------------------------------------------------------- Statistic values: [1] => 1 [2] => 4 [1,1] => 3 [3] => 9 [2,1] => 7 [1,1,1] => 6 [4] => 16 [3,1] => 13 [2,2] => 12 [2,1,1] => 11 [1,1,1,1] => 10 [5] => 25 [4,1] => 21 [3,2] => 19 [3,1,1] => 18 [2,2,1] => 17 [2,1,1,1] => 16 [1,1,1,1,1] => 15 [6] => 36 [5,1] => 31 [4,2] => 28 [4,1,1] => 27 [3,3] => 27 [3,2,1] => 25 [3,1,1,1] => 24 [2,2,2] => 24 [2,2,1,1] => 23 [2,1,1,1,1] => 22 [1,1,1,1,1,1] => 21 [7] => 49 [6,1] => 43 [5,2] => 39 [5,1,1] => 38 [4,3] => 37 [4,2,1] => 35 [4,1,1,1] => 34 [3,3,1] => 34 [3,2,2] => 33 [3,2,1,1] => 32 [3,1,1,1,1] => 31 [2,2,2,1] => 31 [2,2,1,1,1] => 30 [2,1,1,1,1,1] => 29 [1,1,1,1,1,1,1] => 28 [8] => 64 [7,1] => 57 [6,2] => 52 [6,1,1] => 51 [5,3] => 49 [5,2,1] => 47 [5,1,1,1] => 46 [4,4] => 48 [4,3,1] => 45 [4,2,2] => 44 [4,2,1,1] => 43 [4,1,1,1,1] => 42 [3,3,2] => 43 [3,3,1,1] => 42 [3,2,2,1] => 41 [3,2,1,1,1] => 40 [3,1,1,1,1,1] => 39 [2,2,2,2] => 40 [2,2,2,1,1] => 39 [2,2,1,1,1,1] => 38 [2,1,1,1,1,1,1] => 37 [1,1,1,1,1,1,1,1] => 36 [9] => 81 [8,1] => 73 [7,2] => 67 [7,1,1] => 66 [6,3] => 63 [6,2,1] => 61 [6,1,1,1] => 60 [5,4] => 61 [5,3,1] => 58 [5,2,2] => 57 [5,2,1,1] => 56 [5,1,1,1,1] => 55 [4,4,1] => 57 [4,3,2] => 55 [4,3,1,1] => 54 [4,2,2,1] => 53 [4,2,1,1,1] => 52 [4,1,1,1,1,1] => 51 [3,3,3] => 54 [3,3,2,1] => 52 [3,3,1,1,1] => 51 [3,2,2,2] => 51 [3,2,2,1,1] => 50 [3,2,1,1,1,1] => 49 [3,1,1,1,1,1,1] => 48 [2,2,2,2,1] => 49 [2,2,2,1,1,1] => 48 [2,2,1,1,1,1,1] => 47 [2,1,1,1,1,1,1,1] => 46 [1,1,1,1,1,1,1,1,1] => 45 [10] => 100 [9,1] => 91 [8,2] => 84 [8,1,1] => 83 [7,3] => 79 [7,2,1] => 77 [7,1,1,1] => 76 [6,4] => 76 [6,3,1] => 73 [6,2,2] => 72 [6,2,1,1] => 71 [6,1,1,1,1] => 70 [5,5] => 75 [5,4,1] => 71 [5,3,2] => 69 [5,3,1,1] => 68 [5,2,2,1] => 67 [5,2,1,1,1] => 66 [5,1,1,1,1,1] => 65 [4,4,2] => 68 [4,4,1,1] => 67 [4,3,3] => 67 [4,3,2,1] => 65 [4,3,1,1,1] => 64 [4,2,2,2] => 64 [4,2,2,1,1] => 63 [4,2,1,1,1,1] => 62 [4,1,1,1,1,1,1] => 61 [3,3,3,1] => 64 [3,3,2,2] => 63 [3,3,2,1,1] => 62 [3,3,1,1,1,1] => 61 [3,2,2,2,1] => 61 [3,2,2,1,1,1] => 60 [3,2,1,1,1,1,1] => 59 [3,1,1,1,1,1,1,1] => 58 [2,2,2,2,2] => 60 [2,2,2,2,1,1] => 59 [2,2,2,1,1,1,1] => 58 [2,2,1,1,1,1,1,1] => 57 [2,1,1,1,1,1,1,1,1] => 56 [1,1,1,1,1,1,1,1,1,1] => 55 [11] => 121 [10,1] => 111 [9,2] => 103 [9,1,1] => 102 [8,3] => 97 [8,2,1] => 95 [8,1,1,1] => 94 [7,4] => 93 [7,3,1] => 90 [7,2,2] => 89 [7,2,1,1] => 88 [7,1,1,1,1] => 87 [6,5] => 91 [6,4,1] => 87 [6,3,2] => 85 [6,3,1,1] => 84 [6,2,2,1] => 83 [6,2,1,1,1] => 82 [6,1,1,1,1,1] => 81 [5,5,1] => 86 [5,4,2] => 83 [5,4,1,1] => 82 [5,3,3] => 82 [5,3,2,1] => 80 [5,3,1,1,1] => 79 [5,2,2,2] => 79 [5,2,2,1,1] => 78 [5,2,1,1,1,1] => 77 [5,1,1,1,1,1,1] => 76 [4,4,3] => 81 [4,4,2,1] => 79 [4,4,1,1,1] => 78 [4,3,3,1] => 78 [4,3,2,2] => 77 [4,3,2,1,1] => 76 [4,3,1,1,1,1] => 75 [4,2,2,2,1] => 75 [4,2,2,1,1,1] => 74 [4,2,1,1,1,1,1] => 73 [4,1,1,1,1,1,1,1] => 72 [3,3,3,2] => 76 [3,3,3,1,1] => 75 [3,3,2,2,1] => 74 [3,3,2,1,1,1] => 73 [3,3,1,1,1,1,1] => 72 [3,2,2,2,2] => 73 [3,2,2,2,1,1] => 72 [3,2,2,1,1,1,1] => 71 [3,2,1,1,1,1,1,1] => 70 [3,1,1,1,1,1,1,1,1] => 69 [2,2,2,2,2,1] => 71 [2,2,2,2,1,1,1] => 70 [2,2,2,1,1,1,1,1] => 69 [2,2,1,1,1,1,1,1,1] => 68 [2,1,1,1,1,1,1,1,1,1] => 67 [1,1,1,1,1,1,1,1,1,1,1] => 66 [12] => 144 [11,1] => 133 [10,2] => 124 [10,1,1] => 123 [9,3] => 117 [9,2,1] => 115 [9,1,1,1] => 114 [8,4] => 112 [8,3,1] => 109 [8,2,2] => 108 [8,2,1,1] => 107 [8,1,1,1,1] => 106 [7,5] => 109 [7,4,1] => 105 [7,3,2] => 103 [7,3,1,1] => 102 [7,2,2,1] => 101 [7,2,1,1,1] => 100 [7,1,1,1,1,1] => 99 [6,6] => 108 [6,5,1] => 103 [6,4,2] => 100 [6,4,1,1] => 99 [6,3,3] => 99 [6,3,2,1] => 97 [6,3,1,1,1] => 96 [6,2,2,2] => 96 [6,2,2,1,1] => 95 [6,2,1,1,1,1] => 94 [6,1,1,1,1,1,1] => 93 [5,5,2] => 99 [5,5,1,1] => 98 [5,4,3] => 97 [5,4,2,1] => 95 [5,4,1,1,1] => 94 [5,3,3,1] => 94 [5,3,2,2] => 93 [5,3,2,1,1] => 92 [5,3,1,1,1,1] => 91 [5,2,2,2,1] => 91 [5,2,2,1,1,1] => 90 [5,2,1,1,1,1,1] => 89 [5,1,1,1,1,1,1,1] => 88 [4,4,4] => 96 [4,4,3,1] => 93 [4,4,2,2] => 92 [4,4,2,1,1] => 91 [4,4,1,1,1,1] => 90 [4,3,3,2] => 91 [4,3,3,1,1] => 90 [4,3,2,2,1] => 89 [4,3,2,1,1,1] => 88 [4,3,1,1,1,1,1] => 87 [4,2,2,2,2] => 88 [4,2,2,2,1,1] => 87 [4,2,2,1,1,1,1] => 86 [4,2,1,1,1,1,1,1] => 85 [4,1,1,1,1,1,1,1,1] => 84 [3,3,3,3] => 90 [3,3,3,2,1] => 88 [3,3,3,1,1,1] => 87 [3,3,2,2,2] => 87 [3,3,2,2,1,1] => 86 [3,3,2,1,1,1,1] => 85 [3,3,1,1,1,1,1,1] => 84 [3,2,2,2,2,1] => 85 [3,2,2,2,1,1,1] => 84 [3,2,2,1,1,1,1,1] => 83 [3,2,1,1,1,1,1,1,1] => 82 [3,1,1,1,1,1,1,1,1,1] => 81 [2,2,2,2,2,2] => 84 [2,2,2,2,2,1,1] => 83 [2,2,2,2,1,1,1,1] => 82 [2,2,2,1,1,1,1,1,1] => 81 [2,2,1,1,1,1,1,1,1,1] => 80 [2,1,1,1,1,1,1,1,1,1,1] => 79 [1,1,1,1,1,1,1,1,1,1,1,1] => 78 [13] => 169 [12,1] => 157 [11,2] => 147 [11,1,1] => 146 [10,3] => 139 [10,2,1] => 137 [10,1,1,1] => 136 [9,4] => 133 [9,3,1] => 130 [9,2,2] => 129 [9,2,1,1] => 128 [9,1,1,1,1] => 127 [8,5] => 129 [8,4,1] => 125 [8,3,2] => 123 [8,3,1,1] => 122 [8,2,2,1] => 121 [8,2,1,1,1] => 120 [8,1,1,1,1,1] => 119 [7,6] => 127 [7,5,1] => 122 [7,4,2] => 119 [7,4,1,1] => 118 [7,3,3] => 118 [7,3,2,1] => 116 [7,3,1,1,1] => 115 [7,2,2,2] => 115 [7,2,2,1,1] => 114 [7,2,1,1,1,1] => 113 [7,1,1,1,1,1,1] => 112 [6,6,1] => 121 [6,5,2] => 117 [6,5,1,1] => 116 [6,4,3] => 115 [6,4,2,1] => 113 [6,4,1,1,1] => 112 [6,3,3,1] => 112 [6,3,2,2] => 111 [6,3,2,1,1] => 110 [6,3,1,1,1,1] => 109 [6,2,2,2,1] => 109 [6,2,2,1,1,1] => 108 [6,2,1,1,1,1,1] => 107 [6,1,1,1,1,1,1,1] => 106 [5,5,3] => 114 [5,5,2,1] => 112 [5,5,1,1,1] => 111 [5,4,4] => 113 [5,4,3,1] => 110 [5,4,2,2] => 109 [5,4,2,1,1] => 108 [5,4,1,1,1,1] => 107 [5,3,3,2] => 108 [5,3,3,1,1] => 107 [5,3,2,2,1] => 106 [5,3,2,1,1,1] => 105 [5,3,1,1,1,1,1] => 104 [5,2,2,2,2] => 105 [5,2,2,2,1,1] => 104 [5,2,2,1,1,1,1] => 103 [5,2,1,1,1,1,1,1] => 102 [5,1,1,1,1,1,1,1,1] => 101 [4,4,4,1] => 109 [4,4,3,2] => 107 [4,4,3,1,1] => 106 [4,4,2,2,1] => 105 [4,4,2,1,1,1] => 104 [4,4,1,1,1,1,1] => 103 [4,3,3,3] => 106 [4,3,3,2,1] => 104 [4,3,3,1,1,1] => 103 [4,3,2,2,2] => 103 [4,3,2,2,1,1] => 102 [4,3,2,1,1,1,1] => 101 [4,3,1,1,1,1,1,1] => 100 [4,2,2,2,2,1] => 101 [4,2,2,2,1,1,1] => 100 [4,2,2,1,1,1,1,1] => 99 [4,2,1,1,1,1,1,1,1] => 98 [4,1,1,1,1,1,1,1,1,1] => 97 [3,3,3,3,1] => 103 [3,3,3,2,2] => 102 [3,3,3,2,1,1] => 101 [3,3,3,1,1,1,1] => 100 [3,3,2,2,2,1] => 100 [3,3,2,2,1,1,1] => 99 [3,3,2,1,1,1,1,1] => 98 [3,3,1,1,1,1,1,1,1] => 97 [3,2,2,2,2,2] => 99 [3,2,2,2,2,1,1] => 98 [3,2,2,2,1,1,1,1] => 97 [3,2,2,1,1,1,1,1,1] => 96 [3,2,1,1,1,1,1,1,1,1] => 95 [3,1,1,1,1,1,1,1,1,1,1] => 94 [2,2,2,2,2,2,1] => 97 [2,2,2,2,2,1,1,1] => 96 [2,2,2,2,1,1,1,1,1] => 95 [2,2,2,1,1,1,1,1,1,1] => 94 [2,2,1,1,1,1,1,1,1,1,1] => 93 [2,1,1,1,1,1,1,1,1,1,1,1] => 92 [1,1,1,1,1,1,1,1,1,1,1,1,1] => 91 [14] => 196 [13,1] => 183 [12,2] => 172 [12,1,1] => 171 [11,3] => 163 [11,2,1] => 161 [11,1,1,1] => 160 [10,4] => 156 [10,3,1] => 153 [10,2,2] => 152 [10,2,1,1] => 151 [10,1,1,1,1] => 150 [9,5] => 151 [9,4,1] => 147 [9,3,2] => 145 [9,3,1,1] => 144 [9,2,2,1] => 143 [9,2,1,1,1] => 142 [9,1,1,1,1,1] => 141 [8,6] => 148 [8,5,1] => 143 [8,4,2] => 140 [8,4,1,1] => 139 [8,3,3] => 139 [8,3,2,1] => 137 [8,3,1,1,1] => 136 [8,2,2,2] => 136 [8,2,2,1,1] => 135 [8,2,1,1,1,1] => 134 [8,1,1,1,1,1,1] => 133 [7,7] => 147 [7,6,1] => 141 [7,5,2] => 137 [7,5,1,1] => 136 [7,4,3] => 135 [7,4,2,1] => 133 [7,4,1,1,1] => 132 [7,3,3,1] => 132 [7,3,2,2] => 131 [7,3,2,1,1] => 130 [7,3,1,1,1,1] => 129 [7,2,2,2,1] => 129 [7,2,2,1,1,1] => 128 [7,2,1,1,1,1,1] => 127 [7,1,1,1,1,1,1,1] => 126 [6,6,2] => 136 [6,6,1,1] => 135 [6,5,3] => 133 [6,5,2,1] => 131 [6,5,1,1,1] => 130 [6,4,4] => 132 [6,4,3,1] => 129 [6,4,2,2] => 128 [6,4,2,1,1] => 127 [6,4,1,1,1,1] => 126 [6,3,3,2] => 127 [6,3,3,1,1] => 126 [6,3,2,2,1] => 125 [6,3,2,1,1,1] => 124 [6,3,1,1,1,1,1] => 123 [6,2,2,2,2] => 124 [6,2,2,2,1,1] => 123 [6,2,2,1,1,1,1] => 122 [6,2,1,1,1,1,1,1] => 121 [6,1,1,1,1,1,1,1,1] => 120 [5,5,4] => 131 [5,5,3,1] => 128 [5,5,2,2] => 127 [5,5,2,1,1] => 126 [5,5,1,1,1,1] => 125 [5,4,4,1] => 127 [5,4,3,2] => 125 [5,4,3,1,1] => 124 [5,4,2,2,1] => 123 [5,4,2,1,1,1] => 122 [5,4,1,1,1,1,1] => 121 [5,3,3,3] => 124 [5,3,3,2,1] => 122 [5,3,3,1,1,1] => 121 [5,3,2,2,2] => 121 [5,3,2,2,1,1] => 120 [5,3,2,1,1,1,1] => 119 [5,3,1,1,1,1,1,1] => 118 [5,2,2,2,2,1] => 119 [5,2,2,2,1,1,1] => 118 [5,2,2,1,1,1,1,1] => 117 [5,2,1,1,1,1,1,1,1] => 116 [5,1,1,1,1,1,1,1,1,1] => 115 [4,4,4,2] => 124 [4,4,4,1,1] => 123 [4,4,3,3] => 123 [4,4,3,2,1] => 121 [4,4,3,1,1,1] => 120 [4,4,2,2,2] => 120 [4,4,2,2,1,1] => 119 [4,4,2,1,1,1,1] => 118 [4,4,1,1,1,1,1,1] => 117 [4,3,3,3,1] => 120 [4,3,3,2,2] => 119 [4,3,3,2,1,1] => 118 [4,3,3,1,1,1,1] => 117 [4,3,2,2,2,1] => 117 [4,3,2,2,1,1,1] => 116 [4,3,2,1,1,1,1,1] => 115 [4,3,1,1,1,1,1,1,1] => 114 [4,2,2,2,2,2] => 116 [4,2,2,2,2,1,1] => 115 [4,2,2,2,1,1,1,1] => 114 [4,2,2,1,1,1,1,1,1] => 113 [4,2,1,1,1,1,1,1,1,1] => 112 [4,1,1,1,1,1,1,1,1,1,1] => 111 [3,3,3,3,2] => 118 [3,3,3,3,1,1] => 117 [3,3,3,2,2,1] => 116 [3,3,3,2,1,1,1] => 115 [3,3,3,1,1,1,1,1] => 114 [3,3,2,2,2,2] => 115 [3,3,2,2,2,1,1] => 114 [3,3,2,2,1,1,1,1] => 113 [3,3,2,1,1,1,1,1,1] => 112 [3,3,1,1,1,1,1,1,1,1] => 111 [3,2,2,2,2,2,1] => 113 [3,2,2,2,2,1,1,1] => 112 [3,2,2,2,1,1,1,1,1] => 111 [3,2,2,1,1,1,1,1,1,1] => 110 [3,2,1,1,1,1,1,1,1,1,1] => 109 [3,1,1,1,1,1,1,1,1,1,1,1] => 108 [2,2,2,2,2,2,2] => 112 [2,2,2,2,2,2,1,1] => 111 [2,2,2,2,2,1,1,1,1] => 110 [2,2,2,2,1,1,1,1,1,1] => 109 [2,2,2,1,1,1,1,1,1,1,1] => 108 [2,2,1,1,1,1,1,1,1,1,1,1] => 107 [2,1,1,1,1,1,1,1,1,1,1,1,1] => 106 [1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 105 [15] => 225 [14,1] => 211 [13,2] => 199 [13,1,1] => 198 [12,3] => 189 [12,2,1] => 187 [12,1,1,1] => 186 [11,4] => 181 [11,3,1] => 178 [11,2,2] => 177 [11,2,1,1] => 176 [11,1,1,1,1] => 175 [10,5] => 175 [10,4,1] => 171 [10,3,2] => 169 [10,3,1,1] => 168 [10,2,2,1] => 167 [10,2,1,1,1] => 166 [10,1,1,1,1,1] => 165 [9,6] => 171 [9,5,1] => 166 [9,4,2] => 163 [9,4,1,1] => 162 [9,3,3] => 162 [9,3,2,1] => 160 [9,3,1,1,1] => 159 [9,2,2,2] => 159 [9,2,2,1,1] => 158 [9,2,1,1,1,1] => 157 [9,1,1,1,1,1,1] => 156 [8,7] => 169 [8,6,1] => 163 [8,5,2] => 159 [8,5,1,1] => 158 [8,4,3] => 157 [8,4,2,1] => 155 [8,4,1,1,1] => 154 [8,3,3,1] => 154 [8,3,2,2] => 153 [8,3,2,1,1] => 152 [8,3,1,1,1,1] => 151 [8,2,2,2,1] => 151 [8,2,2,1,1,1] => 150 [8,2,1,1,1,1,1] => 149 [8,1,1,1,1,1,1,1] => 148 [7,7,1] => 162 [7,6,2] => 157 [7,6,1,1] => 156 [7,5,3] => 154 [7,5,2,1] => 152 [7,5,1,1,1] => 151 [7,4,4] => 153 [7,4,3,1] => 150 [7,4,2,2] => 149 [7,4,2,1,1] => 148 [7,4,1,1,1,1] => 147 [7,3,3,2] => 148 [7,3,3,1,1] => 147 [7,3,2,2,1] => 146 [7,3,2,1,1,1] => 145 [7,3,1,1,1,1,1] => 144 [7,2,2,2,2] => 145 [7,2,2,2,1,1] => 144 [7,2,2,1,1,1,1] => 143 [7,2,1,1,1,1,1,1] => 142 [7,1,1,1,1,1,1,1,1] => 141 [6,6,3] => 153 [6,6,2,1] => 151 [6,6,1,1,1] => 150 [6,5,4] => 151 [6,5,3,1] => 148 [6,5,2,2] => 147 [6,5,2,1,1] => 146 [6,5,1,1,1,1] => 145 [6,4,4,1] => 147 [6,4,3,2] => 145 [6,4,3,1,1] => 144 [6,4,2,2,1] => 143 [6,4,2,1,1,1] => 142 [6,4,1,1,1,1,1] => 141 [6,3,3,3] => 144 [6,3,3,2,1] => 142 [6,3,3,1,1,1] => 141 [6,3,2,2,2] => 141 [6,3,2,2,1,1] => 140 [6,3,2,1,1,1,1] => 139 [6,3,1,1,1,1,1,1] => 138 [6,2,2,2,2,1] => 139 [6,2,2,2,1,1,1] => 138 [6,2,2,1,1,1,1,1] => 137 [6,2,1,1,1,1,1,1,1] => 136 [6,1,1,1,1,1,1,1,1,1] => 135 [5,5,5] => 150 [5,5,4,1] => 146 [5,5,3,2] => 144 [5,5,3,1,1] => 143 [5,5,2,2,1] => 142 [5,5,2,1,1,1] => 141 [5,5,1,1,1,1,1] => 140 [5,4,4,2] => 143 [5,4,4,1,1] => 142 [5,4,3,3] => 142 [5,4,3,2,1] => 140 [5,4,3,1,1,1] => 139 [5,4,2,2,2] => 139 [5,4,2,2,1,1] => 138 [5,4,2,1,1,1,1] => 137 [5,4,1,1,1,1,1,1] => 136 [5,3,3,3,1] => 139 [5,3,3,2,2] => 138 [5,3,3,2,1,1] => 137 [5,3,3,1,1,1,1] => 136 [5,3,2,2,2,1] => 136 [5,3,2,2,1,1,1] => 135 [5,3,2,1,1,1,1,1] => 134 [5,3,1,1,1,1,1,1,1] => 133 [5,2,2,2,2,2] => 135 [5,2,2,2,2,1,1] => 134 [5,2,2,2,1,1,1,1] => 133 [5,2,2,1,1,1,1,1,1] => 132 [5,2,1,1,1,1,1,1,1,1] => 131 [5,1,1,1,1,1,1,1,1,1,1] => 130 [4,4,4,3] => 141 [4,4,4,2,1] => 139 [4,4,4,1,1,1] => 138 [4,4,3,3,1] => 138 [4,4,3,2,2] => 137 [4,4,3,2,1,1] => 136 [4,4,3,1,1,1,1] => 135 [4,4,2,2,2,1] => 135 [4,4,2,2,1,1,1] => 134 [4,4,2,1,1,1,1,1] => 133 [4,4,1,1,1,1,1,1,1] => 132 [4,3,3,3,2] => 136 [4,3,3,3,1,1] => 135 [4,3,3,2,2,1] => 134 [4,3,3,2,1,1,1] => 133 [4,3,3,1,1,1,1,1] => 132 [4,3,2,2,2,2] => 133 [4,3,2,2,2,1,1] => 132 [4,3,2,2,1,1,1,1] => 131 [4,3,2,1,1,1,1,1,1] => 130 [4,3,1,1,1,1,1,1,1,1] => 129 [4,2,2,2,2,2,1] => 131 [4,2,2,2,2,1,1,1] => 130 [4,2,2,2,1,1,1,1,1] => 129 [4,2,2,1,1,1,1,1,1,1] => 128 [4,2,1,1,1,1,1,1,1,1,1] => 127 [4,1,1,1,1,1,1,1,1,1,1,1] => 126 [3,3,3,3,3] => 135 [3,3,3,3,2,1] => 133 [3,3,3,3,1,1,1] => 132 [3,3,3,2,2,2] => 132 [3,3,3,2,2,1,1] => 131 [3,3,3,2,1,1,1,1] => 130 [3,3,3,1,1,1,1,1,1] => 129 [3,3,2,2,2,2,1] => 130 [3,3,2,2,2,1,1,1] => 129 [3,3,2,2,1,1,1,1,1] => 128 [3,3,2,1,1,1,1,1,1,1] => 127 [3,3,1,1,1,1,1,1,1,1,1] => 126 [3,2,2,2,2,2,2] => 129 [3,2,2,2,2,2,1,1] => 128 [3,2,2,2,2,1,1,1,1] => 127 [3,2,2,2,1,1,1,1,1,1] => 126 [3,2,2,1,1,1,1,1,1,1,1] => 125 [3,2,1,1,1,1,1,1,1,1,1,1] => 124 [3,1,1,1,1,1,1,1,1,1,1,1,1] => 123 [2,2,2,2,2,2,2,1] => 127 [2,2,2,2,2,2,1,1,1] => 126 [2,2,2,2,2,1,1,1,1,1] => 125 [2,2,2,2,1,1,1,1,1,1,1] => 124 [2,2,2,1,1,1,1,1,1,1,1,1] => 123 [2,2,1,1,1,1,1,1,1,1,1,1,1] => 122 [2,1,1,1,1,1,1,1,1,1,1,1,1,1] => 121 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 120 [16] => 256 [15,1] => 241 [14,2] => 228 [14,1,1] => 227 [13,3] => 217 [13,2,1] => 215 [13,1,1,1] => 214 [12,4] => 208 [12,3,1] => 205 [12,2,2] => 204 [12,2,1,1] => 203 [12,1,1,1,1] => 202 [11,5] => 201 [11,4,1] => 197 [11,3,2] => 195 [11,3,1,1] => 194 [11,2,2,1] => 193 [11,2,1,1,1] => 192 [11,1,1,1,1,1] => 191 [10,6] => 196 [10,5,1] => 191 [10,4,2] => 188 [10,4,1,1] => 187 [10,3,3] => 187 [10,3,2,1] => 185 [10,3,1,1,1] => 184 [10,2,2,2] => 184 [10,2,2,1,1] => 183 [10,2,1,1,1,1] => 182 [10,1,1,1,1,1,1] => 181 [9,7] => 193 [9,6,1] => 187 [9,5,2] => 183 [9,5,1,1] => 182 [9,4,3] => 181 [9,4,2,1] => 179 [9,4,1,1,1] => 178 [9,3,3,1] => 178 [9,3,2,2] => 177 [9,3,2,1,1] => 176 [9,3,1,1,1,1] => 175 [9,2,2,2,1] => 175 [9,2,2,1,1,1] => 174 [9,2,1,1,1,1,1] => 173 [9,1,1,1,1,1,1,1] => 172 [8,8] => 192 [8,7,1] => 185 [8,6,2] => 180 [8,6,1,1] => 179 [8,5,3] => 177 [8,5,2,1] => 175 [8,5,1,1,1] => 174 [8,4,4] => 176 [8,4,3,1] => 173 [8,4,2,2] => 172 [8,4,2,1,1] => 171 [8,4,1,1,1,1] => 170 [8,3,3,2] => 171 [8,3,3,1,1] => 170 [8,3,2,2,1] => 169 [8,3,2,1,1,1] => 168 [8,3,1,1,1,1,1] => 167 [8,2,2,2,2] => 168 [8,2,2,2,1,1] => 167 [8,2,2,1,1,1,1] => 166 [8,2,1,1,1,1,1,1] => 165 [8,1,1,1,1,1,1,1,1] => 164 [7,7,2] => 179 [7,7,1,1] => 178 [7,6,3] => 175 [7,6,2,1] => 173 [7,6,1,1,1] => 172 [7,5,4] => 173 [7,5,3,1] => 170 [7,5,2,2] => 169 [7,5,2,1,1] => 168 [7,5,1,1,1,1] => 167 [7,4,4,1] => 169 [7,4,3,2] => 167 [7,4,3,1,1] => 166 [7,4,2,2,1] => 165 [7,4,2,1,1,1] => 164 [7,4,1,1,1,1,1] => 163 [7,3,3,3] => 166 [7,3,3,2,1] => 164 [7,3,3,1,1,1] => 163 [7,3,2,2,2] => 163 [7,3,2,2,1,1] => 162 [7,3,2,1,1,1,1] => 161 [7,3,1,1,1,1,1,1] => 160 [7,2,2,2,2,1] => 161 [7,2,2,2,1,1,1] => 160 [7,2,2,1,1,1,1,1] => 159 [7,2,1,1,1,1,1,1,1] => 158 [7,1,1,1,1,1,1,1,1,1] => 157 [6,6,4] => 172 [6,6,3,1] => 169 [6,6,2,2] => 168 [6,6,2,1,1] => 167 [6,6,1,1,1,1] => 166 [6,5,5] => 171 [6,5,4,1] => 167 [6,5,3,2] => 165 [6,5,3,1,1] => 164 [6,5,2,2,1] => 163 [6,5,2,1,1,1] => 162 [6,5,1,1,1,1,1] => 161 [6,4,4,2] => 164 [6,4,4,1,1] => 163 [6,4,3,3] => 163 [6,4,3,2,1] => 161 [6,4,3,1,1,1] => 160 [6,4,2,2,2] => 160 [6,4,2,2,1,1] => 159 [6,4,2,1,1,1,1] => 158 [6,4,1,1,1,1,1,1] => 157 [6,3,3,3,1] => 160 [6,3,3,2,2] => 159 [6,3,3,2,1,1] => 158 [6,3,3,1,1,1,1] => 157 [6,3,2,2,2,1] => 157 [6,3,2,2,1,1,1] => 156 [6,3,2,1,1,1,1,1] => 155 [6,3,1,1,1,1,1,1,1] => 154 [6,2,2,2,2,2] => 156 [6,2,2,2,2,1,1] => 155 [6,2,2,2,1,1,1,1] => 154 [6,2,2,1,1,1,1,1,1] => 153 [6,2,1,1,1,1,1,1,1,1] => 152 [6,1,1,1,1,1,1,1,1,1,1] => 151 [5,5,5,1] => 166 [5,5,4,2] => 163 [5,5,4,1,1] => 162 [5,5,3,3] => 162 [5,5,3,2,1] => 160 [5,5,3,1,1,1] => 159 [5,5,2,2,2] => 159 [5,5,2,2,1,1] => 158 [5,5,2,1,1,1,1] => 157 [5,5,1,1,1,1,1,1] => 156 [5,4,4,3] => 161 [5,4,4,2,1] => 159 [5,4,4,1,1,1] => 158 [5,4,3,3,1] => 158 [5,4,3,2,2] => 157 [5,4,3,2,1,1] => 156 [5,4,3,1,1,1,1] => 155 [5,4,2,2,2,1] => 155 [5,4,2,2,1,1,1] => 154 [5,4,2,1,1,1,1,1] => 153 [5,4,1,1,1,1,1,1,1] => 152 [5,3,3,3,2] => 156 [5,3,3,3,1,1] => 155 [5,3,3,2,2,1] => 154 [5,3,3,2,1,1,1] => 153 [5,3,3,1,1,1,1,1] => 152 [5,3,2,2,2,2] => 153 [5,3,2,2,2,1,1] => 152 [5,3,2,2,1,1,1,1] => 151 [5,3,2,1,1,1,1,1,1] => 150 [5,3,1,1,1,1,1,1,1,1] => 149 [5,2,2,2,2,2,1] => 151 [5,2,2,2,2,1,1,1] => 150 [5,2,2,2,1,1,1,1,1] => 149 [5,2,2,1,1,1,1,1,1,1] => 148 [5,2,1,1,1,1,1,1,1,1,1] => 147 [5,1,1,1,1,1,1,1,1,1,1,1] => 146 [4,4,4,4] => 160 [4,4,4,3,1] => 157 [4,4,4,2,2] => 156 [4,4,4,2,1,1] => 155 [4,4,4,1,1,1,1] => 154 [4,4,3,3,2] => 155 [4,4,3,3,1,1] => 154 [4,4,3,2,2,1] => 153 [4,4,3,2,1,1,1] => 152 [4,4,3,1,1,1,1,1] => 151 [4,4,2,2,2,2] => 152 [4,4,2,2,2,1,1] => 151 [4,4,2,2,1,1,1,1] => 150 [4,4,2,1,1,1,1,1,1] => 149 [4,4,1,1,1,1,1,1,1,1] => 148 [4,3,3,3,3] => 154 [4,3,3,3,2,1] => 152 [4,3,3,3,1,1,1] => 151 [4,3,3,2,2,2] => 151 [4,3,3,2,2,1,1] => 150 [4,3,3,2,1,1,1,1] => 149 [4,3,3,1,1,1,1,1,1] => 148 [4,3,2,2,2,2,1] => 149 [4,3,2,2,2,1,1,1] => 148 [4,3,2,2,1,1,1,1,1] => 147 [4,3,2,1,1,1,1,1,1,1] => 146 [4,3,1,1,1,1,1,1,1,1,1] => 145 [4,2,2,2,2,2,2] => 148 [4,2,2,2,2,2,1,1] => 147 [4,2,2,2,2,1,1,1,1] => 146 [4,2,2,2,1,1,1,1,1,1] => 145 [4,2,2,1,1,1,1,1,1,1,1] => 144 [4,2,1,1,1,1,1,1,1,1,1,1] => 143 [4,1,1,1,1,1,1,1,1,1,1,1,1] => 142 [3,3,3,3,3,1] => 151 [3,3,3,3,2,2] => 150 [3,3,3,3,2,1,1] => 149 [3,3,3,3,1,1,1,1] => 148 [3,3,3,2,2,2,1] => 148 [3,3,3,2,2,1,1,1] => 147 [3,3,3,2,1,1,1,1,1] => 146 [3,3,3,1,1,1,1,1,1,1] => 145 [3,3,2,2,2,2,2] => 147 [3,3,2,2,2,2,1,1] => 146 [3,3,2,2,2,1,1,1,1] => 145 [3,3,2,2,1,1,1,1,1,1] => 144 [3,3,2,1,1,1,1,1,1,1,1] => 143 [3,3,1,1,1,1,1,1,1,1,1,1] => 142 [3,2,2,2,2,2,2,1] => 145 [3,2,2,2,2,2,1,1,1] => 144 [3,2,2,2,2,1,1,1,1,1] => 143 [3,2,2,2,1,1,1,1,1,1,1] => 142 [3,2,2,1,1,1,1,1,1,1,1,1] => 141 [3,2,1,1,1,1,1,1,1,1,1,1,1] => 140 [3,1,1,1,1,1,1,1,1,1,1,1,1,1] => 139 [2,2,2,2,2,2,2,2] => 144 [2,2,2,2,2,2,2,1,1] => 143 [2,2,2,2,2,2,1,1,1,1] => 142 [2,2,2,2,2,1,1,1,1,1,1] => 141 [2,2,2,2,1,1,1,1,1,1,1,1] => 140 [2,2,2,1,1,1,1,1,1,1,1,1,1] => 139 [2,2,1,1,1,1,1,1,1,1,1,1,1,1] => 138 [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 137 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 136 [17] => 289 [16,1] => 273 [15,2] => 259 [15,1,1] => 258 [14,3] => 247 [14,2,1] => 245 [14,1,1,1] => 244 [13,4] => 237 [13,3,1] => 234 [13,2,2] => 233 [13,2,1,1] => 232 [13,1,1,1,1] => 231 [12,5] => 229 [12,4,1] => 225 [12,3,2] => 223 [12,3,1,1] => 222 [12,2,2,1] => 221 [12,2,1,1,1] => 220 [12,1,1,1,1,1] => 219 [11,6] => 223 [11,5,1] => 218 [11,4,2] => 215 [11,4,1,1] => 214 [11,3,3] => 214 [11,3,2,1] => 212 [11,3,1,1,1] => 211 [11,2,2,2] => 211 [11,2,2,1,1] => 210 [11,2,1,1,1,1] => 209 [11,1,1,1,1,1,1] => 208 [10,7] => 219 [10,6,1] => 213 [10,5,2] => 209 [10,5,1,1] => 208 [10,4,3] => 207 [10,4,2,1] => 205 [10,4,1,1,1] => 204 [10,3,3,1] => 204 [10,3,2,2] => 203 [10,3,2,1,1] => 202 [10,3,1,1,1,1] => 201 [10,2,2,2,1] => 201 [10,2,2,1,1,1] => 200 [10,2,1,1,1,1,1] => 199 [10,1,1,1,1,1,1,1] => 198 [9,8] => 217 [9,7,1] => 210 [9,6,2] => 205 [9,6,1,1] => 204 [9,5,3] => 202 [9,5,2,1] => 200 [9,5,1,1,1] => 199 [9,4,4] => 201 [9,4,3,1] => 198 [9,4,2,2] => 197 [9,4,2,1,1] => 196 [9,4,1,1,1,1] => 195 [9,3,3,2] => 196 [9,3,3,1,1] => 195 [9,3,2,2,1] => 194 [9,3,2,1,1,1] => 193 [9,3,1,1,1,1,1] => 192 [9,2,2,2,2] => 193 [9,2,2,2,1,1] => 192 [9,2,2,1,1,1,1] => 191 [9,2,1,1,1,1,1,1] => 190 [9,1,1,1,1,1,1,1,1] => 189 [8,8,1] => 209 [8,7,2] => 203 [8,7,1,1] => 202 [8,6,3] => 199 [8,6,2,1] => 197 [8,6,1,1,1] => 196 [8,5,4] => 197 [8,5,3,1] => 194 [8,5,2,2] => 193 [8,5,2,1,1] => 192 [8,5,1,1,1,1] => 191 [8,4,4,1] => 193 [8,4,3,2] => 191 [8,4,3,1,1] => 190 [8,4,2,2,1] => 189 [8,4,2,1,1,1] => 188 [8,4,1,1,1,1,1] => 187 [8,3,3,3] => 190 [8,3,3,2,1] => 188 [8,3,3,1,1,1] => 187 [8,3,2,2,2] => 187 [8,3,2,2,1,1] => 186 [8,3,2,1,1,1,1] => 185 [8,3,1,1,1,1,1,1] => 184 [8,2,2,2,2,1] => 185 [8,2,2,2,1,1,1] => 184 [8,2,2,1,1,1,1,1] => 183 [8,2,1,1,1,1,1,1,1] => 182 [8,1,1,1,1,1,1,1,1,1] => 181 [7,7,3] => 198 [7,7,2,1] => 196 [7,7,1,1,1] => 195 [7,6,4] => 195 [7,6,3,1] => 192 [7,6,2,2] => 191 [7,6,2,1,1] => 190 [7,6,1,1,1,1] => 189 [7,5,5] => 194 [7,5,4,1] => 190 [7,5,3,2] => 188 [7,5,3,1,1] => 187 [7,5,2,2,1] => 186 [7,5,2,1,1,1] => 185 [7,5,1,1,1,1,1] => 184 [7,4,4,2] => 187 [7,4,4,1,1] => 186 [7,4,3,3] => 186 [7,4,3,2,1] => 184 [7,4,3,1,1,1] => 183 [7,4,2,2,2] => 183 [7,4,2,2,1,1] => 182 [7,4,2,1,1,1,1] => 181 [7,4,1,1,1,1,1,1] => 180 [7,3,3,3,1] => 183 [7,3,3,2,2] => 182 [7,3,3,2,1,1] => 181 [7,3,3,1,1,1,1] => 180 [7,3,2,2,2,1] => 180 [7,3,2,2,1,1,1] => 179 [7,3,2,1,1,1,1,1] => 178 [7,3,1,1,1,1,1,1,1] => 177 [7,2,2,2,2,2] => 179 [7,2,2,2,2,1,1] => 178 [7,2,2,2,1,1,1,1] => 177 [7,2,2,1,1,1,1,1,1] => 176 [7,2,1,1,1,1,1,1,1,1] => 175 [7,1,1,1,1,1,1,1,1,1,1] => 174 [6,6,5] => 193 [6,6,4,1] => 189 [6,6,3,2] => 187 [6,6,3,1,1] => 186 [6,6,2,2,1] => 185 [6,6,2,1,1,1] => 184 [6,6,1,1,1,1,1] => 183 [6,5,5,1] => 188 [6,5,4,2] => 185 [6,5,4,1,1] => 184 [6,5,3,3] => 184 [6,5,3,2,1] => 182 [6,5,3,1,1,1] => 181 [6,5,2,2,2] => 181 [6,5,2,2,1,1] => 180 [6,5,2,1,1,1,1] => 179 [6,5,1,1,1,1,1,1] => 178 [6,4,4,3] => 183 [6,4,4,2,1] => 181 [6,4,4,1,1,1] => 180 [6,4,3,3,1] => 180 [6,4,3,2,2] => 179 [6,4,3,2,1,1] => 178 [6,4,3,1,1,1,1] => 177 [6,4,2,2,2,1] => 177 [6,4,2,2,1,1,1] => 176 [6,4,2,1,1,1,1,1] => 175 [6,4,1,1,1,1,1,1,1] => 174 [6,3,3,3,2] => 178 [6,3,3,3,1,1] => 177 [6,3,3,2,2,1] => 176 [6,3,3,2,1,1,1] => 175 [6,3,3,1,1,1,1,1] => 174 [6,3,2,2,2,2] => 175 [6,3,2,2,2,1,1] => 174 [6,3,2,2,1,1,1,1] => 173 [6,3,2,1,1,1,1,1,1] => 172 [6,3,1,1,1,1,1,1,1,1] => 171 [6,2,2,2,2,2,1] => 173 [6,2,2,2,2,1,1,1] => 172 [6,2,2,2,1,1,1,1,1] => 171 [6,2,2,1,1,1,1,1,1,1] => 170 [6,2,1,1,1,1,1,1,1,1,1] => 169 [6,1,1,1,1,1,1,1,1,1,1,1] => 168 [5,5,5,2] => 184 [5,5,5,1,1] => 183 [5,5,4,3] => 182 [5,5,4,2,1] => 180 [5,5,4,1,1,1] => 179 [5,5,3,3,1] => 179 [5,5,3,2,2] => 178 [5,5,3,2,1,1] => 177 [5,5,3,1,1,1,1] => 176 [5,5,2,2,2,1] => 176 [5,5,2,2,1,1,1] => 175 [5,5,2,1,1,1,1,1] => 174 [5,5,1,1,1,1,1,1,1] => 173 [5,4,4,4] => 181 [5,4,4,3,1] => 178 [5,4,4,2,2] => 177 [5,4,4,2,1,1] => 176 [5,4,4,1,1,1,1] => 175 [5,4,3,3,2] => 176 [5,4,3,3,1,1] => 175 [5,4,3,2,2,1] => 174 [5,4,3,2,1,1,1] => 173 [5,4,3,1,1,1,1,1] => 172 [5,4,2,2,2,2] => 173 [5,4,2,2,2,1,1] => 172 [5,4,2,2,1,1,1,1] => 171 [5,4,2,1,1,1,1,1,1] => 170 [5,4,1,1,1,1,1,1,1,1] => 169 [5,3,3,3,3] => 175 [5,3,3,3,2,1] => 173 [5,3,3,3,1,1,1] => 172 [5,3,3,2,2,2] => 172 [5,3,3,2,2,1,1] => 171 [5,3,3,2,1,1,1,1] => 170 [5,3,3,1,1,1,1,1,1] => 169 [5,3,2,2,2,2,1] => 170 [5,3,2,2,2,1,1,1] => 169 [5,3,2,2,1,1,1,1,1] => 168 [5,3,2,1,1,1,1,1,1,1] => 167 [5,3,1,1,1,1,1,1,1,1,1] => 166 [5,2,2,2,2,2,2] => 169 [5,2,2,2,2,2,1,1] => 168 [5,2,2,2,2,1,1,1,1] => 167 [5,2,2,2,1,1,1,1,1,1] => 166 [5,2,2,1,1,1,1,1,1,1,1] => 165 [5,2,1,1,1,1,1,1,1,1,1,1] => 164 [5,1,1,1,1,1,1,1,1,1,1,1,1] => 163 [4,4,4,4,1] => 177 [4,4,4,3,2] => 175 [4,4,4,3,1,1] => 174 [4,4,4,2,2,1] => 173 [4,4,4,2,1,1,1] => 172 [4,4,4,1,1,1,1,1] => 171 [4,4,3,3,3] => 174 [4,4,3,3,2,1] => 172 [4,4,3,3,1,1,1] => 171 [4,4,3,2,2,2] => 171 [4,4,3,2,2,1,1] => 170 [4,4,3,2,1,1,1,1] => 169 [4,4,3,1,1,1,1,1,1] => 168 [4,4,2,2,2,2,1] => 169 [4,4,2,2,2,1,1,1] => 168 [4,4,2,2,1,1,1,1,1] => 167 [4,4,2,1,1,1,1,1,1,1] => 166 [4,4,1,1,1,1,1,1,1,1,1] => 165 [4,3,3,3,3,1] => 171 [4,3,3,3,2,2] => 170 [4,3,3,3,2,1,1] => 169 [4,3,3,3,1,1,1,1] => 168 [4,3,3,2,2,2,1] => 168 [4,3,3,2,2,1,1,1] => 167 [4,3,3,2,1,1,1,1,1] => 166 [4,3,3,1,1,1,1,1,1,1] => 165 [4,3,2,2,2,2,2] => 167 [4,3,2,2,2,2,1,1] => 166 [4,3,2,2,2,1,1,1,1] => 165 [4,3,2,2,1,1,1,1,1,1] => 164 [4,3,2,1,1,1,1,1,1,1,1] => 163 [4,3,1,1,1,1,1,1,1,1,1,1] => 162 [4,2,2,2,2,2,2,1] => 165 [4,2,2,2,2,2,1,1,1] => 164 [4,2,2,2,2,1,1,1,1,1] => 163 [4,2,2,2,1,1,1,1,1,1,1] => 162 [4,2,2,1,1,1,1,1,1,1,1,1] => 161 [4,2,1,1,1,1,1,1,1,1,1,1,1] => 160 [4,1,1,1,1,1,1,1,1,1,1,1,1,1] => 159 [3,3,3,3,3,2] => 169 [3,3,3,3,3,1,1] => 168 [3,3,3,3,2,2,1] => 167 [3,3,3,3,2,1,1,1] => 166 [3,3,3,3,1,1,1,1,1] => 165 [3,3,3,2,2,2,2] => 166 [3,3,3,2,2,2,1,1] => 165 [3,3,3,2,2,1,1,1,1] => 164 [3,3,3,2,1,1,1,1,1,1] => 163 [3,3,3,1,1,1,1,1,1,1,1] => 162 [3,3,2,2,2,2,2,1] => 164 [3,3,2,2,2,2,1,1,1] => 163 [3,3,2,2,2,1,1,1,1,1] => 162 [3,3,2,2,1,1,1,1,1,1,1] => 161 [3,3,2,1,1,1,1,1,1,1,1,1] => 160 [3,3,1,1,1,1,1,1,1,1,1,1,1] => 159 [3,2,2,2,2,2,2,2] => 163 [3,2,2,2,2,2,2,1,1] => 162 [3,2,2,2,2,2,1,1,1,1] => 161 [3,2,2,2,2,1,1,1,1,1,1] => 160 [3,2,2,2,1,1,1,1,1,1,1,1] => 159 [3,2,2,1,1,1,1,1,1,1,1,1,1] => 158 ----------------------------------------------------------------------------- Created: Sep 26, 2018 at 05:12 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: May 12, 2020 at 15:38 by Martin Rubey