M4 for NAK without Effect of Orders:
Type 1 has 8 children: 2 3 4 5 6 7 8 9 
Type 2 has 7 children: 2 10 11 12 13 14 15 
Type 3 has 7 children: 16 17 18 19 20 21 22 
Type 4 has 7 children: 23 24 4 25 26 27 28 
Type 5 has 7 children: 29 30 31 32 33 34 35 
Type 6 has 7 children: 36 37 38 6 39 40 41 
Type 7 has 7 children: 42 43 44 45 46 47 48 
Type 8 has 7 children: 49 50 51 52 53 8 54 
Type 9 has 7 children: 55 56 57 58 59 60 61 
Type 10 has 7 children: 16 17 18 19 62 21 22 
Type 11 has 7 children: 23 24 4 25 63 64 28 
Type 12 has 6 children: 29 30 31 65 66 67 
Type 13 has 6 children: 42 68 69 70 47 48 
Type 14 has 7 children: 49 50 71 72 53 8 54 
Type 15 has 7 children: 55 56 57 73 59 60 61 
Type 16 has 7 children: 2 10 11 12 74 14 15 
Type 17 has 7 children: 16 17 18 19 75 76 22 
Type 18 has 7 children: 23 24 4 25 26 77 28 
Type 19 has 6 children: 29 30 31 32 33 78 
Type 20 has 6 children: 79 37 38 6 80 81 
Type 21 has 6 children: 49 82 83 84 8 54 
Type 22 has 6 children: 55 56 57 85 60 61 
Type 23 has 7 children: 2 10 11 12 86 87 15 
Type 24 has 7 children: 16 17 18 19 20 88 22 
Type 25 has 7 children: 29 30 31 32 33 34 89 
Type 26 has 7 children: 36 37 38 6 39 90 91 
Type 27 has 6 children: 92 43 44 45 93 94 
Type 28 has 6 children: 55 56 57 95 96 97 
Type 29 has 6 children: 2 10 11 98 99 100 
Type 30 has 6 children: 16 17 18 19 20 101 
Type 31 has 7 children: 23 24 4 25 26 27 102 
Type 32 has 7 children: 103 30 31 32 33 34 104 
Type 33 has 7 children: 36 37 38 6 39 40 105 
Type 34 has 6 children: 43 44 45 46 47 106 
Type 35 has 6 children: 107 108 52 53 8 109 
Type 36 has 6 children: 110 111 18 19 20 112 
Type 37 has 7 children: 113 24 4 25 26 27 114 
Type 38 has 7 children: 115 30 31 32 33 34 35 
Type 39 has 7 children: 116 43 44 45 46 47 48 
Type 40 has 7 children: 117 118 51 52 53 8 54 
Type 41 has 6 children: 119 120 58 59 60 121 
Type 42 has 6 children: 2 122 123 124 14 15 
Type 43 has 6 children: 125 126 4 25 26 127 
Type 44 has 6 children: 128 31 32 33 34 35 
Type 45 has 7 children: 129 37 38 6 39 40 41 
Type 46 has 7 children: 130 131 44 45 46 47 48 
Type 47 has 7 children: 49 132 51 52 53 8 54 
Type 48 has 6 children: 55 133 58 59 60 61 
Type 49 has 7 children: 2 10 134 135 13 14 15 
Type 50 has 6 children: 16 136 137 138 21 22 
Type 51 has 6 children: 139 140 141 33 34 35 
Type 52 has 7 children: 142 143 38 6 39 40 41 
Type 53 has 7 children: 42 144 44 45 46 47 48 
Type 54 has 7 children: 55 56 145 58 59 60 61 
Type 55 has 7 children: 2 10 11 146 13 14 15 
Type 56 has 6 children: 16 17 18 147 21 22 
Type 57 has 6 children: 23 24 4 148 149 150 
Type 58 has 6 children: 151 152 6 39 40 153 
Type 59 has 6 children: 42 154 45 46 47 48 
Type 60 has 7 children: 49 50 155 52 53 8 54 
Type 61 has 7 children: 55 56 156 157 59 60 61 
Type 62 has 5 children: 79 37 38 6 81 
Type 63 has 6 children: 36 37 38 6 39 91 
Type 64 has 5 children: 92 43 44 45 94 
Type 65 has 6 children: 103 30 31 32 33 34 
Type 66 has 6 children: 36 37 38 6 39 40 
Type 67 has 5 children: 107 52 53 8 109 
Type 68 has 5 children: 125 126 4 25 26 
Type 69 has 6 children: 37 38 6 39 40 41 
Type 70 has 6 children: 130 44 45 46 47 48 
Type 71 has 5 children: 139 140 33 34 35 
Type 72 has 6 children: 142 38 6 39 40 41 
Type 73 has 5 children: 151 6 39 40 153 
Type 74 has 5 children: 42 68 70 47 48 
Type 75 has 5 children: 79 37 38 6 80 
Type 76 has 5 children: 49 82 84 8 54 
Type 77 has 5 children: 92 43 44 45 93 
Type 78 has 5 children: 43 44 45 46 47 
Type 79 has 5 children: 110 111 18 19 20 
Type 80 has 6 children: 43 44 45 46 47 48 
Type 81 has 6 children: 117 51 52 53 8 54 
Type 82 has 5 children: 16 136 137 21 22 
Type 83 has 6 children: 143 38 6 39 40 41 
Type 84 has 6 children: 42 44 45 46 47 48 
Type 85 has 5 children: 42 45 46 47 48 
Type 86 has 5 children: 42 68 69 47 48 
Type 87 has 6 children: 49 50 71 53 8 54 
Type 88 has 5 children: 49 82 83 8 54 
Type 89 has 5 children: 107 108 52 53 8 
Type 90 has 6 children: 118 51 52 53 8 54 
Type 91 has 5 children: 119 120 58 59 60 
Type 92 has 5 children: 2 122 123 14 15 
Type 93 has 6 children: 131 44 45 46 47 48 
Type 94 has 6 children: 49 51 52 53 8 54 
Type 95 has 5 children: 151 152 6 39 40 
Type 96 has 6 children: 49 50 52 53 8 54 
Type 97 has 6 children: 55 56 156 59 60 61 
Type 98 has 5 children: 29 30 31 65 66 
Type 99 has 6 children: 49 50 72 53 8 54 
Type 100 has 6 children: 55 56 57 59 60 61 
Type 101 has 5 children: 55 56 57 60 61 
Type 102 has 5 children: 55 56 57 95 97 
Type 103 has 5 children: 2 10 11 98 100 
Type 104 has 5 children: 108 52 53 8 109 
Type 105 has 5 children: 120 58 59 60 121 
Type 106 has 5 children: 55 58 59 60 61 
Type 107 has 6 children: 2 10 134 13 14 15 
Type 108 has 5 children: 140 141 33 34 35 
Type 109 has 6 children: 55 56 58 59 60 61 
Type 110 has 6 children: 2 10 11 12 14 15 
Type 111 has 6 children: 16 17 18 19 75 22 
Type 112 has 5 children: 49 83 84 8 54 
Type 113 has 6 children: 2 10 11 12 86 15 
Type 114 has 5 children: 55 56 57 95 96 
Type 115 has 5 children: 2 10 11 98 99 
Type 116 has 5 children: 2 123 124 14 15 
Type 117 has 6 children: 2 10 135 13 14 15 
Type 118 has 5 children: 16 137 138 21 22 
Type 119 has 6 children: 2 10 11 13 14 15 
Type 120 has 5 children: 23 24 4 148 149 
Type 121 has 6 children: 55 56 157 59 60 61 
Type 122 has 6 children: 16 17 18 19 21 22 
Type 123 has 6 children: 23 24 4 25 63 28 
Type 124 has 5 children: 42 69 70 47 48 
Type 125 has 6 children: 2 10 11 12 87 15 
Type 126 has 6 children: 16 17 18 19 20 22 
Type 127 has 5 children: 43 44 45 93 94 
Type 128 has 5 children: 16 17 18 19 20 
Type 129 has 5 children: 111 18 19 20 112 
Type 130 has 5 children: 2 122 124 14 15 
Type 131 has 5 children: 126 4 25 26 127 
Type 132 has 5 children: 16 136 138 21 22 
Type 133 has 5 children: 16 17 18 21 22 
Type 134 has 6 children: 23 24 4 25 64 28 
Type 135 has 5 children: 29 30 31 66 67 
Type 136 has 6 children: 16 17 18 19 76 22 
Type 137 has 6 children: 23 24 4 25 26 28 
Type 138 has 5 children: 37 38 6 80 81 
Type 139 has 5 children: 2 10 11 99 100 
Type 140 has 6 children: 23 24 4 25 26 27 
Type 141 has 6 children: 30 31 32 33 34 104 
Type 142 has 5 children: 110 18 19 20 112 
Type 143 has 6 children: 24 4 25 26 27 114 
Type 144 has 5 children: 125 4 25 26 127 
Type 145 has 5 children: 23 24 4 149 150 
Type 146 has 5 children: 29 30 31 65 67 
Type 147 has 5 children: 29 30 31 32 33 
Type 148 has 6 children: 29 30 31 32 33 34 
Type 149 has 6 children: 36 37 38 6 39 90 
Type 150 has 5 children: 55 56 57 96 97 
Type 151 has 6 children: 113 24 4 25 26 27 
Type 152 has 6 children: 30 31 32 33 34 35 
Type 153 has 5 children: 119 58 59 60 121 
Type 154 has 5 children: 31 32 33 34 35 
Type 155 has 5 children: 139 141 33 34 35 
Type 156 has 5 children: 23 24 4 148 150 
Type 157 has 5 children: 152 6 39 40 153