| 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 ---+------------------------------------------------------------------------ 2 | 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 3 | 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 4 | 1 2 2 3 4 4 5 6 6 7 8 8 9 10 10 11 12 5 | 1 1 2 3 4 4 5 5 6 8 9 9 10 10 11 13 14 14 6 | 1 2 3 4 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 | 1 2 4 4 5 6 8 8 10 11 12 13 14 15 17 18 19 20 8 | 2 3 4 5 6 8 8 10 12 12 14 16 16 18 20 20 22 24 9 | 2 3 5 5 7 8 10 10 12 14 16 17 18 19 21 23 25 26 10 | 2 4 6 6 8 10 12 12 14 16 18 19 20 22 24 26 28 29 11 | 3 4 6 8 9 11 12 14 16 17 19 21 22 24 27 28 30 32 12 | 3 5 7 9 10 12 14 16 18 19 21 24 25 27 30 31 33 36 13 | 3 5 8 9 11 13 16 17 19 21 24 25 27 29 32 33 36 38 14 | 4 6 8 10 12 14 16 18 20 22 25 27 29 31 34 36 39 41 15 | 4 6 9 10 13 15 18 19 22 24 27 29 31 33 37 39 42 44 16 | 4 7 10 11 14 17 20 21 24 27 30 32 34 37 40 42 44 48 17 | 5 7 10 13 15 18 20 23 26 28 31 33 36 39 42 44 47 50 18 | 5 8 11 14 16 19 22 25 28 30 33 36 39 42 44 47 50 53 19 | 5 8 12 14 17 20 24 26 29 32 36 38 41 44 48 50 53 56 C(2,5) = 1 {4} = S C(2,6) = 1 {6} = S C(2,7) = 1 {8} = S C(2,8) = 2 {4} = 2S C(2,9) = 2 {6} = 2S C(2,10) = 2 {8} = 2S C(2,11) = 3 {4} = 3S C(2,12) = 3 {6} = 3S C(2,13) = 3 {8} = 3S C(2,14) = 4 {4} = 4S C(2,15) = 4 {6} = 4S C(2,16) = 4 {8} = 4S C(2,17) = 5 {4} = 5S C(2,18) = 5 {6} = 5S C(2,19) = 5 {8} = 5S C(3,4) = 1 {6} = W C(3,5) = 1 {9} = W C(3,6) = 2 {6} = 2W C(3,7) = 2 {9} = 2W C(3,8) = 3 {6} = 3W C(3,9) = 3 {9} = 3W C(3,10) = 4 {6} = 4W C(3,11) = 4 {9} = 4W C(3,12) = 5 {6} = 5W C(3,13) = 5 {9} = 5W C(3,14) = 6 {6} = 6W C(3,15) = 6 {9} = 6W C(3,16) = 7 {6} = 7W C(3,17) = 7 {9} = 7W C(3,18) = 8 {6} = 8W C(3,19) = 8 {9} = 8W C(4,4) = 2 {4} = 2E C(4,5) = 2 {8} = E,S C(4,6) = 3 {6} = 2E,W C(4,7) = 4 {4} = 4E C(4,8) = 4 {8} = 3E,S C(4,9) = 5 {6} = 4E,W C(4,10) = 6 {4} = 6E C(4,11) = 6 {8} = 5E,S C(4,12) = 7 {6} = 6E,W C(4,13) = 8 {4} = 8E C(4,14) = 8 {8} = 7E,S C(4,15) = 9 {6} = 8E,W C(4,16) = 10 {4} = 10E C(4,17) = 10 {8} = 9E,S C(4,18) = 11 {6} = 10E,W C(4,19) = 12 {4} = 12E C(5,5) = 3 {7} = 2E,S C(5,6) = 4 {6} = 2E,W,K C(5,7) = 4 {11} = 3E,S C(5,8) = 5 {10} = 2E,W,2S C(5,9) = 5 {15} = C(5,8) [X: 4.W + C(2,5) [S]] C(5,10) = 6 {14} = X: 5.W + C(2,7) [C(2,6) [C(2,5) [S]]] C(5,11) = 8 {7} = 2E,3W,3S C(5,12) = 9 {6} = 2E,4W,K,2S C(5,13) = 9 {11} = 3E,3W,3S C(5,14) = 10 {10} = 2E,4W,4S C(5,15) = 10 {15} = C(5,14) [X: 7.W + C(2,11) [3S]] C(5,16) = 11 {14} = X: 8.W + C(2,13) [C(2,12) [C(2,11) [3S]]] C(5,17) = 13 {7} = 2E,6W,5S C(5,18) = 14 {6} = 2E,7W,K,4S C(5,19) = 14 {11} = 3E,6W,5S C(6,6) = 4 {12} = C(3,6) [2W] + C(3,6) [2W] C(6,7) = 5 {12} = X: 4.W + C(3,4) [W] C(6,8) = 6 {12} = 3.C(2,8) [2S] C(6,9) = 7 {12} = X: 5.W + C(3,6) [2W] C(6,10) = 8 {12} = C(3,10) [4W] + C(3,10) [4W] C(6,11) = 9 {12} = 3.C(2,11) [3S] C(6,12) = 10 {12} = C(3,12) [5W] + C(3,12) [5W] C(6,13) = 11 {12} = X: 7.W + C(3,10) [4W] C(6,14) = 12 {12} = 3.C(2,14) [4S] C(6,15) = 13 {12} = X: 8.W + C(3,12) [5W] C(6,16) = 14 {12} = C(3,16) [7W] + C(3,16) [7W] C(6,17) = 15 {12} = 3.C(2,17) [5S] C(6,18) = 16 {12} = C(3,18) [8W] + C(3,18) [8W] C(6,19) = 17 {12} = X: 10.W + C(3,16) [7W] C(7,7) = 6 {13} = C(3,7) [2W] + C(4,7) [4E] C(7,8) = 8 {8} = C(4,7) [4E] + C(4,7) [4E] C(7,9) = 8 {15} = C(1,7) [] + C(7,8) [C(4,7) [4E] + C(4,7) [4E]] C(7,10) = 10 {10} = C(3,10) [4W] + C(4,10) [6E] C(7,11) = 11 {11} = C(2,11) [3S] + C(5,11) [2E,3W,3S] C(7,12) = 12 {12} = C(4,7) [4E] + C(7,8) [C(4,7) [4E] + C(4,7) [4E]] C(7,13) = 13 {13} = C(3,13) [5W] + C(4,13) [8E] C(7,14) = 14 {14} = X: 8.W + C(4,11) [2.C(2,11) [3S]] C(7,15) = 15 {15} = C(3,15) [6W] + C(4,15) [8E,W] C(7,16) = 17 {10} = C(3,16) [7W] + C(4,16) [10E] C(7,17) = 18 {11} = C(2,17) [5S] + C(5,17) [2E,6W,5S] C(7,18) = 19 {12} = C(3,18) [8W] + C(4,18) [10E,W] C(7,19) = 20 {13} = C(3,19) [8W] + C(4,19) [12E] C(8,8) = 8 {16} = 4.C(2,8) [2S] C(8,9) = 10 {12} = C(2,8) [2S] + C(7,8) [C(4,7) [4E] + C(4,7) [4E]] C(8,10) = 12 {8} = C(4,10) [6E] + C(4,10) [6E] C(8,11) = 12 {16} = 4.C(2,11) [3S] C(8,12) = 14 {12} = C(2,8) [2S] + C(8,10) [C(4,10) [6E] + C(4,10) [6E]] C(8,13) = 16 {8} = C(4,13) [8E] + C(4,13) [8E] C(8,14) = 16 {16} = 4.C(2,14) [4S] C(8,15) = 18 {12} = C(2,8) [2S] + C(8,13) [C(4,13) [8E] + C(4,13) [8E]] C(8,16) = 20 {8} = C(4,16) [10E] + C(4,16) [10E] C(8,17) = 20 {16} = 4.C(2,17) [5S] C(8,18) = 22 {12} = C(2,8) [2S] + C(8,16) [C(4,16) [10E] + C(4,16) [10E]] C(8,19) = 24 {8} = C(4,19) [12E] + C(4,19) [12E] C(9,9) = 10 {21} = C(3,9) [C(3,8) [3W]] + C(6,9) [X: 5.W + C(3,6) [2W]] C(9,10) = 12 {18} = C(3,10) [4W] + C(6,10) [C(3,10) [4W] + C(3,10) [4W]] C(9,11) = 14 {15} = 2.C(2,11) [3S] + C(5,11) [2E,3W,3S] C(9,12) = 16 {12} = C(4,12) [6E,W] + C(5,12) [2E,4W,K,2S] C(9,13) = 17 {15} = C(4,13) [8E] + C(5,13) [C(2,5) [S] + C(5,11) [2E,3W,3S]] C(9,14) = 18 {18} = X: 9.W + C(6,11) [3.C(2,11) [3S]] C(9,15) = 19 {21} = C(3,15) [C(3,14) [6W]] + C(6,15) [X: 8.W + C(3,12) [5W]] C(9,16) = 21 {18} = C(3,16) [7W] + C(6,16) [C(3,16) [7W] + C(3,16) [7W]] C(9,17) = 23 {15} = 2.C(2,17) [5S] + C(5,17) [2E,6W,5S] C(9,18) = 25 {12} = C(4,18) [10E,W] + C(5,18) [2E,7W,K,4S] C(9,19) = 26 {15} = C(4,19) [12E] + C(5,19) [C(2,5) [S] + C(5,17) [2E,6W,5S]] C(10,10) = 14 {16} = C(2,10) [2S] + C(8,10) [C(4,10) [6E] + C(4,10) [6E]] C(10,11) = 16 {14} = C(3,10) [4W] + C(8,10) [C(4,10) [6E] + C(4,10) [6E]] C(10,12) = 18 {12} = C(4,10) [6E] + C(8,10) [C(4,10) [6E] + C(4,10) [6E]] C(10,13) = 19 {16} = C(2,13) [3S] + C(8,13) [C(4,13) [8E] + C(4,13) [8E]] C(10,14) = 20 {20} = 5.C(2,14) [4S] C(10,15) = 22 {18} = C(3,10) [4W] + C(10,12) [C(4,10) [6E] + C(8,10) [C(4,10) [6E] + C(4,10) [6E]]] C(10,16) = 24 {16} = C(2,16) [4S] + C(8,16) [C(4,16) [10E] + C(4,16) [10E]] C(10,17) = 26 {14} = C(5,17) [2E,6W,5S] + C(5,17) [2E,6W,5S] C(10,18) = 28 {12} = C(5,18) [2E,7W,K,4S] + C(5,18) [2E,7W,K,4S] C(10,19) = 29 {16} = C(2,19) [5S] + C(8,19) [C(4,19) [12E] + C(4,19) [12E]] C(11,11) = 17 {19} = 3.C(2,11) [3S] + C(5,11) [2E,3W,3S] C(11,12) = 19 {18} = C(2,11) [3S] + C(10,11) [C(3,10) [4W] + C(8,10) [C(4,10) [6E] + C(4,10) [6E]]] C(11,13) = 21 {17} = C(3,13) [5W] + C(8,13) [C(4,13) [8E] + C(4,13) [8E]] C(11,14) = 22 {22} = X: 10.W + C(8,11) [4.C(2,11) [3S]] C(11,15) = 24 {21} = C(2,11) [3S] + C(11,13) [C(3,13) [5W] + C(8,13) [C(4,13) [8E] + C(4,13) [8E]]] C(11,16) = 27 {14} = C(3,16) [7W] + C(8,16) [C(4,16) [10E] + C(4,16) [10E]] C(11,17) = 28 {19} = 3.C(2,17) [5S] + C(5,17) [2E,6W,5S] C(11,18) = 30 {18} = C(2,11) [3S] + C(11,16) [C(3,16) [7W] + C(8,16) [C(4,16) [10E] + C(4,16) [10E]]] C(11,19) = 32 {17} = C(3,19) [8W] + C(8,19) [C(4,19) [12E] + C(4,19) [12E]] C(12,12) = 21 {18} = C(2,12) [3S] + C(10,12) [C(4,10) [6E] + C(8,10) [C(4,10) [6E] + C(4,10) [6E]]] C(12,13) = 24 {12} = C(4,13) [8E] + C(8,13) [C(4,13) [8E] + C(4,13) [8E]] C(12,14) = 25 {18} = C(4,12) [6E,W] + C(10,12) [C(4,10) [6E] + C(8,10) [C(4,10) [6E] + C(4,10) [6E]]] C(12,15) = 27 {18} = C(2,12) [3S] + C(12,13) [C(4,13) [8E] + C(8,13) [C(4,13) [8E] + C(4,13) [8E]]] C(12,16) = 30 {12} = C(4,16) [10E] + C(8,16) [C(4,16) [10E] + C(4,16) [10E]] C(12,17) = 31 {18} = C(4,12) [6E,W] + C(12,13) [C(4,13) [8E] + C(8,13) [C(4,13) [8E] + C(4,13) [8E]]] C(12,18) = 33 {18} = C(2,12) [3S] + C(12,16) [C(4,16) [10E] + C(8,16) [C(4,16) [10E] + C(4,16) [10E]]] C(12,19) = 36 {12} = C(4,19) [12E] + C(8,19) [C(4,19) [12E] + C(4,19) [12E]] C(13,13) = 25 {19} = C(5,13) [C(2,5) [S] + C(5,11) [2E,3W,3S]] + C(8,13) [C(4,13) [8E] + C(4,13) [8E]] C(13,14) = 27 {20} = C(2,13) [3S] + C(12,13) [C(4,13) [8E] + C(8,13) [C(4,13) [8E] + C(4,13) [8E]]] C(13,15) = 29 {21} = C(3,13) [5W] + C(12,13) [C(4,13) [8E] + C(8,13) [C(4,13) [8E] + C(4,13) [8E]]] C(13,16) = 32 {16} = C(4,13) [8E] + C(12,13) [C(4,13) [8E] + C(8,13) [C(4,13) [8E] + C(4,13) [8E]]] C(13,17) = 33 {23} = 4.C(2,17) [5S] + C(5,17) [2E,6W,5S] C(13,18) = 36 {18} = C(3,18) [8W] + C(10,18) [C(5,18) [2E,7W,K,4S] + C(5,18) [2E,7W,K,4S]] C(13,19) = 38 {19} = C(4,19) [12E] + C(9,19) [C(4,19) [12E] + C(5,19) [C(2,5) [S] + C(5,17) [2E,6W,5S]]] C(14,14) = 29 {22} = C(2,14) [4S] + C(12,14) [C(4,12) [6E,W] + C(10,12) [C(4,10) [6E] + C(8,10) [C(4,10) [6E] + C(4,10) [6E]]]] C(14,15) = 31 {24} = C(2,14) [4S] + C(13,14) [C(2,13) [3S] + C(12,13) [C(4,13) [8E] + C(8,13) [C(4,13) [8E] + C(4,13) [8E]]]] C(14,16) = 34 {20} = C(2,16) [4S] + C(12,16) [C(4,16) [10E] + C(8,16) [C(4,16) [10E] + C(4,16) [10E]]] C(14,17) = 36 {22} = C(2,17) [5S] + C(12,17) [C(4,12) [6E,W] + C(12,13) [C(4,13) [8E] + C(8,13) [C(4,13) [8E] + C(4,13) [8E]]]] C(14,18) = 39 {18} = C(4,18) [10E,W] + C(10,18) [C(5,18) [2E,7W,K,4S] + C(5,18) [2E,7W,K,4S]] C(14,19) = 41 {20} = C(2,19) [5S] + C(12,19) [C(4,19) [12E] + C(8,19) [C(4,19) [12E] + C(4,19) [12E]]] C(15,15) = 33 {27} = C(3,15) [6W] + C(12,15) [C(2,12) [3S] + C(12,13) [C(4,13) [8E] + C(8,13) [C(4,13) [8E] + C(4,13) [8E]]]] C(15,16) = 37 {18} = C(3,16) [7W] + C(12,16) [C(4,16) [10E] + C(8,16) [C(4,16) [10E] + C(4,16) [10E]]] C(15,17) = 39 {21} = C(5,17) [2E,6W,5S] + C(10,17) [C(5,17) [2E,6W,5S] + C(5,17) [2E,6W,5S]] C(15,18) = 42 {18} = C(5,18) [2E,7W,K,4S] + C(10,18) [C(5,18) [2E,7W,K,4S] + C(5,18) [2E,7W,K,4S]] C(15,19) = 44 {21} = C(3,19) [8W] + C(12,19) [C(4,19) [12E] + C(8,19) [C(4,19) [12E] + C(4,19) [12E]]] C(16,16) = 40 {16} = C(4,16) [10E] + C(12,16) [C(4,16) [10E] + C(8,16) [C(4,16) [10E] + C(4,16) [10E]]] C(16,17) = 42 {20} = C(4,16) [10E] + C(13,16) [C(4,13) [8E] + C(12,13) [C(4,13) [8E] + C(8,13) [C(4,13) [8E] + C(4,13) [8E]]]] C(16,18) = 44 {24} = C(2,16) [4S] + C(16,16) [C(4,16) [10E] + C(12,16) [C(4,16) [10E] + C(8,16) [C(4,16) [10E] + C(4,16) [10E]]]] C(16,19) = 48 {16} = C(4,19) [12E] + C(12,19) [C(4,19) [12E] + C(8,19) [C(4,19) [12E] + C(4,19) [12E]]] C(17,17) = 44 {25} = C(2,17) [5S] + C(15,17) [C(5,17) [2E,6W,5S] + C(10,17) [C(5,17) [2E,6W,5S] + C(5,17) [2E,6W,5S]]] C(17,18) = 47 {24} = C(2,17) [5S] + C(16,17) [C(4,16) [10E] + C(13,16) [C(4,13) [8E] + C(12,13) [C(4,13) [8E] + C(8,13) [C(4,13) [8E] + C(4,13) [8E]]]]] C(17,19) = 50 {23} = C(4,19) [12E] + C(13,19) [C(4,19) [12E] + C(9,19) [C(4,19) [12E] + C(5,19) [C(2,5) [S] + C(5,17) [2E,6W,5S]]]] C(18,18) = 50 {24} = C(3,18) [8W] + C(15,18) [C(5,18) [2E,7W,K,4S] + C(10,18) [C(5,18) [2E,7W,K,4S] + C(5,18) [2E,7W,K,4S]]] C(18,19) = 53 {24} = C(2,19) [5S] + C(16,19) [C(4,19) [12E] + C(12,19) [C(4,19) [12E] + C(8,19) [C(4,19) [12E] + C(4,19) [12E]]]] C(19,19) = 56 {25} = C(3,19) [8W] + C(16,19) [C(4,19) [12E] + C(12,19) [C(4,19) [12E] + C(8,19) [C(4,19) [12E] + C(4,19) [12E]]]]