Number of types: 131
Type 0 has 3 children: 4 5 6 
Type 1 has 3 children: 7 8 9 
Type 2 has 3 children: 10 11 12 
Type 3 has 3 children: 13 14 15 
Type 4 has 3 children: 16 17 18 
Type 5 has 3 children: 19 20 21 
Type 6 has 3 children: 22 23 24 
Type 7 has 2 children: 25 26 
Type 8 has 3 children: 27 28 29 
Type 9 has 3 children: 30 31 32 
Type 10 has 2 children: 33 34 
Type 11 has 3 children: 35 36 37 
Type 12 has 3 children: 38 39 40 
Type 13 has 2 children: 41 42 
Type 14 has 2 children: 43 44 
Type 15 has 3 children: 45 46 47 
Type 16 has 3 children: 16 48 49 
Type 17 has 3 children: 50 20 51 
Type 18 has 3 children: 52 53 24 
Type 19 has 2 children: 25 54 
Type 20 has 3 children: 55 28 56 
Type 21 has 2 children: 57 58 
Type 22 has 2 children: 41 59 
Type 23 has 2 children: 60 61 
Type 24 has 3 children: 62 63 47 
Type 25 has 3 children: 16 64 65 
Type 26 has 3 children: 66 20 67 
Type 27 has 2 children: 25 68 
Type 28 has 3 children: 69 28 70 
Type 29 has 3 children: 71 31 72 
Type 30 has 2 children: 33 73 
Type 31 has 3 children: 74 36 75 
Type 32 has 2 children: 76 77 
Type 33 has 3 children: 78 28 79 
Type 34 has 3 children: 80 31 81 
Type 35 has 2 children: 33 82 
Type 36 has 3 children: 83 36 84 
Type 37 has 3 children: 85 86 40 
Type 38 has 2 children: 87 88 
Type 39 has 2 children: 43 89 
Type 40 has 3 children: 90 91 47 
Type 41 has 3 children: 16 92 93 
Type 42 has 3 children: 94 95 24 
Type 43 has 3 children: 96 36 97 
Type 44 has 3 children: 98 99 40 
Type 45 has 2 children: 41 100 
Type 46 has 2 children: 43 101 
Type 47 has 3 children: 102 103 47 
Type 48 has 3 children: 50 20 104 
Type 49 has 3 children: 52 105 24 
Type 50 has 2 children: 25 54 
Type 51 has 2 children: 57 106 
Type 52 has 2 children: 41 59 
Type 53 has 2 children: 107 61 
Type 54 has 3 children: 66 20 108 
Type 55 has 2 children: 25 68 
Type 56 has 3 children: 71 31 109 
Type 57 has 2 children: 33 73 
Type 58 has 3 children: 74 36 110 
Type 59 has 3 children: 94 111 24 
Type 60 has 3 children: 112 36 97 
Type 61 has 3 children: 113 99 40 
Type 62 has 2 children: 41 100 
Type 63 has 2 children: 43 101 
Type 64 has 3 children: 50 20 114 
Type 65 has 2 children: 52 24 
Type 66 has 2 children: 25 54 
Type 67 has 2 children: 57 58 
Type 68 has 3 children: 66 20 115 
Type 69 has 2 children: 25 68 
Type 70 has 3 children: 71 31 116 
Type 71 has 2 children: 33 73 
Type 72 has 2 children: 76 117 
Type 73 has 3 children: 80 31 118 
Type 74 has 2 children: 33 82 
Type 75 has 3 children: 119 86 40 
Type 76 has 2 children: 43 89 
Type 77 has 3 children: 120 91 47 
Type 78 has 2 children: 25 68 
Type 79 has 3 children: 71 31 121 
Type 80 has 2 children: 33 73 
Type 81 has 2 children: 76 77 
Type 82 has 3 children: 80 31 122 
Type 83 has 2 children: 33 82 
Type 84 has 3 children: 123 86 40 
Type 85 has 2 children: 124 88 
Type 86 has 2 children: 43 89 
Type 87 has 2 children: 16 93 
Type 88 has 3 children: 94 125 24 
Type 89 has 3 children: 126 99 40 
Type 90 has 2 children: 41 100 
Type 91 has 2 children: 43 101 
Type 92 has 2 children: 50 20 
Type 93 has 3 children: 52 127 24 
Type 94 has 2 children: 41 59 
Type 95 has 2 children: 60 61 
Type 96 has 2 children: 33 82 
Type 97 has 3 children: 128 86 40 
Type 98 has 2 children: 87 88 
Type 99 has 2 children: 43 89 
Type 100 has 3 children: 94 129 24 
Type 101 has 3 children: 130 99 40 
Type 102 has 2 children: 41 100 
Type 103 has 2 children: 43 101 
Type 104 has 2 children: 57 106 
Type 105 has 2 children: 107 61 
Type 106 has 2 children: 74 36 
Type 107 has 2 children: 36 97 
Type 108 has 2 children: 57 58 
Type 109 has 1 children: 76 
Type 110 has 2 children: 86 40 
Type 111 has 2 children: 60 61 
Type 112 has 2 children: 33 82 
Type 113 has 2 children: 87 88 
Type 114 has 2 children: 57 106 
Type 115 has 2 children: 57 58 
Type 116 has 2 children: 76 117 
Type 117 has 2 children: 91 47 
Type 118 has 2 children: 76 77 
Type 119 has 1 children: 88 
Type 120 has 2 children: 41 100 
Type 121 has 2 children: 76 117 
Type 122 has 2 children: 76 77 
Type 123 has 2 children: 124 88 
Type 124 has 2 children: 16 93 
Type 125 has 2 children: 60 61 
Type 126 has 2 children: 87 88 
Type 127 has 2 children: 107 61 
Type 128 has 2 children: 124 88 
Type 129 has 2 children: 60 61 
Type 130 has 2 children: 87 88