Rule:GKLMajority

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@RULE GKLMajority

https://conwaylife.com/forums/viewtopic.php?p=66000#p66001

Gacs, Kurdyumov and Levin's 1D majority rule. Successfully finds the majority in ~80% of cases. Each pixel holds three bits of data, with state 0 = 000, state 1 = 001, ..., state 7 = 111.

@TREE

num_states=8 num_neighbors=8 num_nodes=149 1 0 1 2 3 4 5 6 7 2 0 0 0 0 0 0 0 0 3 1 1 1 1 1 1 1 1 4 2 2 2 2 2 2 2 2 1 2 1 2 3 4 5 6 7 2 4 0 0 0 0 0 0 0 3 5 1 1 1 1 1 1 1 4 6 2 2 2 2 2 2 2 1 4 1 2 3 4 5 6 7 2 8 0 0 0 0 0 0 0 3 9 1 1 1 1 1 1 1 4 10 2 2 2 2 2 2 2 1 6 1 2 3 4 5 6 7 2 12 0 0 0 0 0 0 0 3 13 1 1 1 1 1 1 1 4 14 2 2 2 2 2 2 2 5 3 3 3 7 3 3 11 15 5 3 3 3 3 3 3 3 3 6 16 17 17 17 17 17 17 17 6 17 17 17 17 17 17 17 17 7 18 19 19 19 19 19 19 19 1 1 1 2 3 4 5 6 7 2 21 0 0 0 0 0 0 0 3 22 1 1 1 1 1 1 1 4 23 2 2 2 2 2 2 2 1 3 1 2 3 4 5 6 7 2 25 0 0 0 0 0 0 0 3 26 1 1 1 1 1 1 1 4 27 2 2 2 2 2 2 2 1 7 1 2 3 4 5 6 7 2 29 0 0 0 0 0 0 0 3 30 1 1 1 1 1 1 1 4 31 2 2 2 2 2 2 2 5 3 24 3 28 3 24 11 32 6 33 17 17 17 17 17 17 17 7 34 19 19 19 19 19 19 19 5 3 3 7 7 3 3 15 15 6 36 17 17 17 17 17 17 17 7 37 19 19 19 19 19 19 19 5 3 24 7 28 3 24 15 32 6 39 17 17 17 17 17 17 17 7 40 19 19 19 19 19 19 19 1 5 1 2 3 4 5 6 7 2 42 0 0 0 0 0 0 0 3 43 1 1 1 1 1 1 1 4 44 2 2 2 2 2 2 2 5 3 24 3 28 11 45 11 32 6 46 17 17 17 17 17 17 17 7 47 19 19 19 19 19 19 19 5 3 24 7 28 11 45 15 32 6 49 17 17 17 17 17 17 17 7 50 19 19 19 19 19 19 19 8 20 35 38 41 48 48 51 51 5 3 3 24 7 3 3 45 15 6 53 17 17 17 17 17 17 17 7 54 19 19 19 19 19 19 19 5 3 24 24 28 3 24 45 32 6 56 17 17 17 17 17 17 17 7 57 19 19 19 19 19 19 19 5 3 3 28 7 3 3 32 15 6 59 17 17 17 17 17 17 17 7 60 19 19 19 19 19 19 19 5 3 24 28 28 3 24 32 32 6 62 17 17 17 17 17 17 17 7 63 19 19 19 19 19 19 19 5 3 24 24 28 11 45 45 32 6 65 17 17 17 17 17 17 17 7 66 19 19 19 19 19 19 19 5 3 24 28 28 11 45 32 32 6 68 17 17 17 17 17 17 17 7 69 19 19 19 19 19 19 19 8 55 58 61 64 67 67 70 70 5 3 3 3 7 7 7 11 15 6 72 17 17 17 17 17 17 17 7 73 19 19 19 19 19 19 19 5 3 24 3 28 7 28 11 32 6 75 17 17 17 17 17 17 17 7 76 19 19 19 19 19 19 19 5 3 3 7 7 7 7 15 15 6 78 17 17 17 17 17 17 17 7 79 19 19 19 19 19 19 19 5 3 24 7 28 7 28 15 32 6 81 17 17 17 17 17 17 17 7 82 19 19 19 19 19 19 19 5 3 24 3 28 15 32 11 32 6 84 17 17 17 17 17 17 17 7 85 19 19 19 19 19 19 19 5 3 24 7 28 15 32 15 32 6 87 17 17 17 17 17 17 17 7 88 19 19 19 19 19 19 19 8 74 77 80 83 86 86 89 89 5 3 3 24 7 7 7 45 15 6 91 17 17 17 17 17 17 17 7 92 19 19 19 19 19 19 19 5 3 24 24 28 7 28 45 32 6 94 17 17 17 17 17 17 17 7 95 19 19 19 19 19 19 19 5 3 3 28 7 7 7 32 15 6 97 17 17 17 17 17 17 17 7 98 19 19 19 19 19 19 19 5 3 24 28 28 7 28 32 32 6 100 17 17 17 17 17 17 17 7 101 19 19 19 19 19 19 19 5 3 24 24 28 15 32 45 32 6 103 17 17 17 17 17 17 17 7 104 19 19 19 19 19 19 19 5 3 24 28 28 15 32 32 32 6 106 17 17 17 17 17 17 17 7 107 19 19 19 19 19 19 19 8 93 96 99 102 105 105 108 108 5 11 11 45 15 3 3 45 15 6 110 17 17 17 17 17 17 17 7 111 19 19 19 19 19 19 19 5 11 45 45 32 3 24 45 32 6 113 17 17 17 17 17 17 17 7 114 19 19 19 19 19 19 19 5 11 11 32 15 3 3 32 15 6 116 17 17 17 17 17 17 17 7 117 19 19 19 19 19 19 19 5 11 45 32 32 3 24 32 32 6 119 17 17 17 17 17 17 17 7 120 19 19 19 19 19 19 19 5 11 45 45 32 11 45 45 32 6 122 17 17 17 17 17 17 17 7 123 19 19 19 19 19 19 19 5 11 45 32 32 11 45 32 32 6 125 17 17 17 17 17 17 17 7 126 19 19 19 19 19 19 19 8 112 115 118 121 124 124 127 127 5 11 11 45 15 7 7 45 15 6 129 17 17 17 17 17 17 17 7 130 19 19 19 19 19 19 19 5 11 45 45 32 7 28 45 32 6 132 17 17 17 17 17 17 17 7 133 19 19 19 19 19 19 19 5 11 11 32 15 7 7 32 15 6 135 17 17 17 17 17 17 17 7 136 19 19 19 19 19 19 19 5 11 45 32 32 7 28 32 32 6 138 17 17 17 17 17 17 17 7 139 19 19 19 19 19 19 19 5 11 45 45 32 15 32 45 32 6 141 17 17 17 17 17 17 17 7 142 19 19 19 19 19 19 19 5 11 45 32 32 15 32 32 32 6 144 17 17 17 17 17 17 17 7 145 19 19 19 19 19 19 19 8 131 134 137 140 143 143 146 146 9 52 71 90 109 52 128 90 147

@TABLE n_states:8 neighborhood:Moore symmetries:none

0,0,1,0,0,0,0,0,0,0 0,0,2,0,0,0,0,0,0,0 0,0,3,0,0,0,0,0,0,0 0,0,4,0,0,0,0,0,0,0 0,0,5,0,0,0,0,0,0,0 0,0,6,0,0,0,0,0,0,0 0,0,7,0,0,0,0,0,0,0 0,1,0,0,0,0,0,0,0,0 0,1,1,0,0,0,0,0,0,1 0,1,2,0,0,0,0,0,0,0 0,1,3,0,0,0,0,0,0,1 0,1,4,0,0,0,0,0,0,1 0,1,5,0,0,0,0,0,0,1 0,1,6,0,0,0,0,0,0,1 0,1,7,0,0,0,0,0,0,1 0,2,0,0,0,0,0,0,0,0 0,2,1,0,0,0,0,0,0,0 0,2,2,0,0,0,0,0,0,2 0,2,3,0,0,0,0,0,0,2 0,2,4,0,0,0,0,0,0,0 0,2,5,0,0,0,0,0,0,0 0,2,6,0,0,0,0,0,0,2 0,2,7,0,0,0,0,0,0,2 0,3,0,0,0,0,0,0,0,2 0,3,1,0,0,0,0,0,0,3 0,3,2,0,0,0,0,0,0,2 0,3,3,0,0,0,0,0,0,3 0,3,4,0,0,0,0,0,0,3 0,3,5,0,0,0,0,0,0,3 0,3,6,0,0,0,0,0,0,3 0,3,7,0,0,0,0,0,0,3 0,4,0,0,0,0,0,0,0,0 0,4,1,0,0,0,0,0,0,0 0,4,2,0,0,0,0,0,0,0 0,4,3,0,0,0,0,0,0,0 0,4,4,0,0,0,0,0,0,4 0,4,5,0,0,0,0,0,0,4 0,4,6,0,0,0,0,0,0,4 0,4,7,0,0,0,0,0,0,4 0,5,0,0,0,0,0,0,0,0 0,5,1,0,0,0,0,0,0,1 0,5,2,0,0,0,0,0,0,0 0,5,3,0,0,0,0,0,0,1 0,5,4,0,0,0,0,0,0,5 0,5,5,0,0,0,0,0,0,5 0,5,6,0,0,0,0,0,0,5 0,5,7,0,0,0,0,0,0,5 0,6,0,0,0,0,0,0,0,4 0,6,1,0,0,0,0,0,0,4 0,6,2,0,0,0,0,0,0,6 0,6,3,0,0,0,0,0,0,6 0,6,4,0,0,0,0,0,0,4 0,6,5,0,0,0,0,0,0,4 0,6,6,0,0,0,0,0,0,6 0,6,7,0,0,0,0,0,0,6 0,7,0,0,0,0,0,0,0,6 0,7,1,0,0,0,0,0,0,7 0,7,2,0,0,0,0,0,0,6 0,7,3,0,0,0,0,0,0,7 0,7,4,0,0,0,0,0,0,7 0,7,5,0,0,0,0,0,0,7 0,7,6,0,0,0,0,0,0,7 0,7,7,0,0,0,0,0,0,7 0,0,0,0,0,0,0,0,1,0 0,0,1,0,0,0,0,0,1,0 0,0,2,0,0,0,0,0,1,0 0,0,3,0,0,0,0,0,1,0 0,0,4,0,0,0,0,0,1,0 0,0,5,0,0,0,0,0,1,0 0,0,6,0,0,0,0,0,1,0 0,0,7,0,0,0,0,0,1,0 0,1,0,0,0,0,0,0,1,0 0,1,1,0,0,0,0,0,1,1 0,1,2,0,0,0,0,0,1,0 0,1,3,0,0,0,0,0,1,1 0,1,4,0,0,0,0,0,1,1 0,1,5,0,0,0,0,0,1,1 0,1,6,0,0,0,0,0,1,1 0,1,7,0,0,0,0,0,1,1 0,2,0,0,0,0,0,0,1,1 0,2,1,0,0,0,0,0,1,1 0,2,2,0,0,0,0,0,1,3 0,2,3,0,0,0,0,0,1,3 0,2,4,0,0,0,0,0,1,1 0,2,5,0,0,0,0,0,1,1 0,2,6,0,0,0,0,0,1,3 0,2,7,0,0,0,0,0,1,3 0,3,0,0,0,0,0,0,1,2 0,3,1,0,0,0,0,0,1,3 0,3,2,0,0,0,0,0,1,2 0,3,3,0,0,0,0,0,1,3 0,3,4,0,0,0,0,0,1,3 0,3,5,0,0,0,0,0,1,3 0,3,6,0,0,0,0,0,1,3 0,3,7,0,0,0,0,0,1,3 0,4,0,0,0,0,0,0,1,0 0,4,1,0,0,0,0,0,1,0 0,4,2,0,0,0,0,0,1,0 0,4,3,0,0,0,0,0,1,0 0,4,4,0,0,0,0,0,1,4 0,4,5,0,0,0,0,0,1,4 0,4,6,0,0,0,0,0,1,4 0,4,7,0,0,0,0,0,1,4 0,5,0,0,0,0,0,0,1,0 0,5,1,0,0,0,0,0,1,1 0,5,2,0,0,0,0,0,1,0 0,5,3,0,0,0,0,0,1,1 0,5,4,0,0,0,0,0,1,5 0,5,5,0,0,0,0,0,1,5 0,5,6,0,0,0,0,0,1,5 0,5,7,0,0,0,0,0,1,5 0,6,0,0,0,0,0,0,1,5 0,6,1,0,0,0,0,0,1,5 0,6,2,0,0,0,0,0,1,7 0,6,3,0,0,0,0,0,1,7 0,6,4,0,0,0,0,0,1,5 0,6,5,0,0,0,0,0,1,5 0,6,6,0,0,0,0,0,1,7 0,6,7,0,0,0,0,0,1,7 0,7,0,0,0,0,0,0,1,6 0,7,1,0,0,0,0,0,1,7 0,7,2,0,0,0,0,0,1,6 0,7,3,0,0,0,0,0,1,7 0,7,4,0,0,0,0,0,1,7 0,7,5,0,0,0,0,0,1,7 0,7,6,0,0,0,0,0,1,7 0,7,7,0,0,0,0,0,1,7 0,0,0,0,0,0,0,0,2,0 0,0,1,0,0,0,0,0,2,0 0,0,2,0,0,0,0,0,2,0 0,0,3,0,0,0,0,0,2,0 0,0,4,0,0,0,0,0,2,0 0,0,5,0,0,0,0,0,2,0 0,0,6,0,0,0,0,0,2,0 0,0,7,0,0,0,0,0,2,0 0,1,0,0,0,0,0,0,2,0 0,1,1,0,0,0,0,0,2,1 0,1,2,0,0,0,0,0,2,0 0,1,3,0,0,0,0,0,2,1 0,1,4,0,0,0,0,0,2,1 0,1,5,0,0,0,0,0,2,1 0,1,6,0,0,0,0,0,2,1 0,1,7,0,0,0,0,0,2,1 0,2,0,0,0,0,0,0,2,0 0,2,1,0,0,0,0,0,2,0 0,2,2,0,0,0,0,0,2,2 0,2,3,0,0,0,0,0,2,2 0,2,4,0,0,0,0,0,2,0 0,2,5,0,0,0,0,0,2,0 0,2,6,0,0,0,0,0,2,2 0,2,7,0,0,0,0,0,2,2 0,3,0,0,0,0,0,0,2,2 0,3,1,0,0,0,0,0,2,3 0,3,2,0,0,0,0,0,2,2 0,3,3,0,0,0,0,0,2,3 0,3,4,0,0,0,0,0,2,3 0,3,5,0,0,0,0,0,2,3 0,3,6,0,0,0,0,0,2,3 0,3,7,0,0,0,0,0,2,3 0,4,0,0,0,0,0,0,2,2 0,4,1,0,0,0,0,0,2,2 0,4,2,0,0,0,0,0,2,2 0,4,3,0,0,0,0,0,2,2 0,4,4,0,0,0,0,0,2,6 0,4,5,0,0,0,0,0,2,6 0,4,6,0,0,0,0,0,2,6 0,4,7,0,0,0,0,0,2,6 0,5,0,0,0,0,0,0,2,2 0,5,1,0,0,0,0,0,2,3 0,5,2,0,0,0,0,0,2,2 0,5,3,0,0,0,0,0,2,3 0,5,4,0,0,0,0,0,2,7 0,5,5,0,0,0,0,0,2,7 0,5,6,0,0,0,0,0,2,7 0,5,7,0,0,0,0,0,2,7 0,6,0,0,0,0,0,0,2,4 0,6,1,0,0,0,0,0,2,4 0,6,2,0,0,0,0,0,2,6 0,6,3,0,0,0,0,0,2,6 0,6,4,0,0,0,0,0,2,4 0,6,5,0,0,0,0,0,2,4 0,6,6,0,0,0,0,0,2,6 0,6,7,0,0,0,0,0,2,6 0,7,0,0,0,0,0,0,2,6 0,7,1,0,0,0,0,0,2,7 0,7,2,0,0,0,0,0,2,6 0,7,3,0,0,0,0,0,2,7 0,7,4,0,0,0,0,0,2,7 0,7,5,0,0,0,0,0,2,7 0,7,6,0,0,0,0,0,2,7 0,7,7,0,0,0,0,0,2,7 0,0,0,0,0,0,0,0,3,0 0,0,1,0,0,0,0,0,3,0 0,0,2,0,0,0,0,0,3,0 0,0,3,0,0,0,0,0,3,0 0,0,4,0,0,0,0,0,3,0 0,0,5,0,0,0,0,0,3,0 0,0,6,0,0,0,0,0,3,0 0,0,7,0,0,0,0,0,3,0 0,1,0,0,0,0,0,0,3,0 0,1,1,0,0,0,0,0,3,1 0,1,2,0,0,0,0,0,3,0 0,1,3,0,0,0,0,0,3,1 0,1,4,0,0,0,0,0,3,1 0,1,5,0,0,0,0,0,3,1 0,1,6,0,0,0,0,0,3,1 0,1,7,0,0,0,0,0,3,1 0,2,0,0,0,0,0,0,3,1 0,2,1,0,0,0,0,0,3,1 0,2,2,0,0,0,0,0,3,3 0,2,3,0,0,0,0,0,3,3 0,2,4,0,0,0,0,0,3,1 0,2,5,0,0,0,0,0,3,1 0,2,6,0,0,0,0,0,3,3 0,2,7,0,0,0,0,0,3,3 0,3,0,0,0,0,0,0,3,2 0,3,1,0,0,0,0,0,3,3 0,3,2,0,0,0,0,0,3,2 0,3,3,0,0,0,0,0,3,3 0,3,4,0,0,0,0,0,3,3 0,3,5,0,0,0,0,0,3,3 0,3,6,0,0,0,0,0,3,3 0,3,7,0,0,0,0,0,3,3 0,4,0,0,0,0,0,0,3,2 0,4,1,0,0,0,0,0,3,2 0,4,2,0,0,0,0,0,3,2 0,4,3,0,0,0,0,0,3,2 0,4,4,0,0,0,0,0,3,6 0,4,5,0,0,0,0,0,3,6 0,4,6,0,0,0,0,0,3,6 0,4,7,0,0,0,0,0,3,6 0,5,0,0,0,0,0,0,3,2 0,5,1,0,0,0,0,0,3,3 0,5,2,0,0,0,0,0,3,2 0,5,3,0,0,0,0,0,3,3 0,5,4,0,0,0,0,0,3,7 0,5,5,0,0,0,0,0,3,7 0,5,6,0,0,0,0,0,3,7 0,5,7,0,0,0,0,0,3,7 0,6,0,0,0,0,0,0,3,5 0,6,1,0,0,0,0,0,3,5 0,6,2,0,0,0,0,0,3,7 0,6,3,0,0,0,0,0,3,7 0,6,4,0,0,0,0,0,3,5 0,6,5,0,0,0,0,0,3,5 0,6,6,0,0,0,0,0,3,7 0,6,7,0,0,0,0,0,3,7 0,7,0,0,0,0,0,0,3,6 0,7,1,0,0,0,0,0,3,7 0,7,2,0,0,0,0,0,3,6 0,7,3,0,0,0,0,0,3,7 0,7,4,0,0,0,0,0,3,7 0,7,5,0,0,0,0,0,3,7 0,7,6,0,0,0,0,0,3,7 0,7,7,0,0,0,0,0,3,7 0,0,0,0,0,0,0,0,4,0 0,0,1,0,0,0,0,0,4,0 0,0,2,0,0,0,0,0,4,0 0,0,3,0,0,0,0,0,4,0 0,0,4,0,0,0,0,0,4,0 0,0,5,0,0,0,0,0,4,0 0,0,6,0,0,0,0,0,4,0 0,0,7,0,0,0,0,0,4,0 0,1,0,0,0,0,0,0,4,0 0,1,1,0,0,0,0,0,4,1 0,1,2,0,0,0,0,0,4,0 0,1,3,0,0,0,0,0,4,1 0,1,4,0,0,0,0,0,4,1 0,1,5,0,0,0,0,0,4,1 0,1,6,0,0,0,0,0,4,1 0,1,7,0,0,0,0,0,4,1 0,2,0,0,0,0,0,0,4,0 0,2,1,0,0,0,0,0,4,0 0,2,2,0,0,0,0,0,4,2 0,2,3,0,0,0,0,0,4,2 0,2,4,0,0,0,0,0,4,0 0,2,5,0,0,0,0,0,4,0 0,2,6,0,0,0,0,0,4,2 0,2,7,0,0,0,0,0,4,2 0,3,0,0,0,0,0,0,4,2 0,3,1,0,0,0,0,0,4,3 0,3,2,0,0,0,0,0,4,2 0,3,3,0,0,0,0,0,4,3 0,3,4,0,0,0,0,0,4,3 0,3,5,0,0,0,0,0,4,3 0,3,6,0,0,0,0,0,4,3 0,3,7,0,0,0,0,0,4,3 0,4,0,0,0,0,0,0,4,0 0,4,1,0,0,0,0,0,4,0 0,4,2,0,0,0,0,0,4,0 0,4,3,0,0,0,0,0,4,0 0,4,4,0,0,0,0,0,4,4 0,4,5,0,0,0,0,0,4,4 0,4,6,0,0,0,0,0,4,4 0,4,7,0,0,0,0,0,4,4 0,5,0,0,0,0,0,0,4,0 0,5,1,0,0,0,0,0,4,1 0,5,2,0,0,0,0,0,4,0 0,5,3,0,0,0,0,0,4,1 0,5,4,0,0,0,0,0,4,5 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