/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 79-rule system { 0 0 1 2 -> 0 3 1 0 2 , 0 1 2 2 -> 1 2 0 3 2 2 , 0 1 2 4 -> 0 3 2 3 1 4 , 0 5 0 5 -> 0 3 0 5 5 , 0 5 1 2 -> 1 0 1 5 2 , 0 5 1 2 -> 0 1 0 1 5 2 , 0 5 1 2 -> 0 3 2 3 1 5 , 0 5 4 2 -> 0 4 5 3 2 , 0 5 5 2 -> 5 0 1 5 2 , 1 0 0 5 -> 1 1 0 0 1 5 4 , 1 0 1 2 -> 1 1 3 0 2 , 1 0 1 2 -> 1 1 0 3 2 2 , 1 0 1 2 -> 1 1 0 3 2 3 , 1 0 5 4 -> 0 1 1 5 4 , 1 2 0 5 -> 0 3 2 3 1 5 , 1 2 0 5 -> 5 0 3 3 2 1 , 1 5 0 2 -> 1 1 0 1 1 5 2 , 1 5 1 2 -> 0 1 1 5 2 , 1 5 1 2 -> 1 0 1 5 3 2 , 5 0 0 2 -> 5 0 3 0 2 , 5 0 1 2 -> 5 1 0 3 2 , 5 0 1 2 -> 5 1 0 3 2 3 , 0 0 0 1 2 -> 0 2 0 1 0 3 3 4 , 0 0 2 5 2 -> 0 3 2 0 5 2 , 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 0 1 2 5 2 -> 0 3 2 1 5 3 2 , 0 3 5 2 2 -> 0 4 5 3 2 2 , 0 4 2 0 5 -> 0 4 0 3 2 1 5 , 0 4 2 5 2 -> 0 5 4 3 3 2 2 , 0 5 0 2 2 -> 0 2 5 0 3 2 , 0 5 0 5 1 -> 0 1 0 3 5 5 , 0 5 1 3 0 -> 0 0 1 1 5 3 , 0 5 2 2 4 -> 0 5 3 2 2 4 , 0 5 2 3 1 -> 0 1 5 3 2 2 2 , 0 5 2 4 1 -> 0 4 3 2 5 1 , 0 5 3 5 2 -> 0 0 3 5 5 2 , 0 5 5 3 1 -> 5 0 1 5 3 3 2 , 1 0 5 5 1 -> 0 4 5 1 5 1 , 1 1 2 2 0 -> 1 1 3 2 2 0 , 1 1 2 3 4 -> 1 1 3 2 2 4 , 1 1 3 5 2 -> 1 1 5 3 3 2 , 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 5 0 2 3 4 -> 5 0 3 2 3 4 , 5 5 0 1 2 -> 5 5 3 0 2 1 , 0 0 0 5 1 2 -> 0 0 1 5 0 2 4 , 0 0 1 2 4 1 -> 1 3 0 2 3 0 4 1 , 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 0 0 2 3 0 5 -> 0 0 3 0 3 2 5 , 0 0 5 2 3 4 -> 0 4 0 3 1 2 5 , 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 0 1 2 0 1 2 -> 1 0 3 2 2 1 1 0 , 0 1 2 2 0 5 -> 0 4 1 5 0 3 2 2 , 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 0 1 3 1 5 2 -> 1 0 1 5 3 3 2 , 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 0 2 5 3 5 1 -> 0 3 3 2 2 1 5 5 , 0 5 0 0 5 4 -> 0 1 0 1 0 4 5 5 , 0 5 1 2 1 4 -> 1 1 5 3 2 2 0 4 , 0 5 5 1 2 5 -> 0 2 1 5 5 4 5 , 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 1 0 5 4 2 1 -> 0 1 1 5 3 4 2 , 1 1 0 1 2 2 -> 1 0 1 1 3 1 2 2 , 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 0 0 1 2 3 5 5 -> 5 1 5 0 3 0 2 1 , 0 0 2 3 4 2 1 -> 0 0 4 1 3 2 3 2 , 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 0 5 2 5 1 3 4 -> 1 4 5 2 0 3 1 5 , 0 5 5 0 2 5 1 -> 5 3 0 0 1 5 2 5 , 0 5 5 2 5 3 4 -> 0 3 2 1 4 5 5 5 , 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } The system was reversed. After renaming modulo { 2->0, 1->1, 0->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 79-rule system { 0 1 2 2 -> 0 2 1 3 2 , 0 0 1 2 -> 0 0 3 2 0 1 , 4 0 1 2 -> 4 1 3 0 3 2 , 5 2 5 2 -> 5 5 2 3 2 , 0 1 5 2 -> 0 5 1 2 1 , 0 1 5 2 -> 0 5 1 2 1 2 , 0 1 5 2 -> 5 1 3 0 3 2 , 0 4 5 2 -> 0 3 5 4 2 , 0 5 5 2 -> 0 5 1 2 5 , 5 2 2 1 -> 4 5 1 2 2 1 1 , 0 1 2 1 -> 0 2 3 1 1 , 0 1 2 1 -> 0 0 3 2 1 1 , 0 1 2 1 -> 3 0 3 2 1 1 , 4 5 2 1 -> 4 5 1 1 2 , 5 2 0 1 -> 5 1 3 0 3 2 , 5 2 0 1 -> 1 0 3 3 2 5 , 0 2 5 1 -> 0 5 1 1 2 1 1 , 0 1 5 1 -> 0 5 1 1 2 , 0 1 5 1 -> 0 3 5 1 2 1 , 0 2 2 5 -> 0 2 3 2 5 , 0 1 2 5 -> 0 3 2 1 5 , 0 1 2 5 -> 3 0 3 2 1 5 , 0 1 2 2 2 -> 4 3 3 2 1 2 0 2 , 0 5 0 2 2 -> 0 5 2 0 3 2 , 2 5 0 1 2 -> 5 1 2 2 0 0 3 3 , 0 5 0 1 2 -> 0 3 5 1 0 3 2 , 0 0 5 3 2 -> 0 0 3 5 4 2 , 5 2 0 4 2 -> 5 1 0 3 2 4 2 , 0 5 0 4 2 -> 0 0 3 3 4 5 2 , 0 0 2 5 2 -> 0 3 2 5 0 2 , 1 5 2 5 2 -> 5 5 3 2 1 2 , 2 3 1 5 2 -> 3 5 1 1 2 2 , 4 0 0 5 2 -> 4 0 0 3 5 2 , 1 3 0 5 2 -> 0 0 0 3 5 1 2 , 1 4 0 5 2 -> 1 5 0 3 4 2 , 0 5 3 5 2 -> 0 5 5 3 2 2 , 1 3 5 5 2 -> 0 3 3 5 1 2 5 , 1 5 5 2 1 -> 1 5 1 5 4 2 , 2 0 0 1 1 -> 2 0 0 3 1 1 , 4 3 0 1 1 -> 4 0 0 3 1 1 , 0 5 3 1 1 -> 0 3 3 5 1 1 , 2 5 2 5 1 -> 2 1 5 3 5 1 2 , 0 1 5 5 1 -> 0 0 3 5 1 1 5 1 , 5 2 0 2 5 -> 5 2 0 3 3 2 5 , 4 3 0 2 5 -> 4 3 0 3 2 5 , 0 1 2 5 5 -> 1 0 2 3 5 5 , 0 1 5 2 2 2 -> 4 0 2 5 1 2 2 , 1 4 0 1 2 2 -> 1 4 2 3 0 2 3 1 , 2 0 1 0 2 2 -> 2 0 0 0 3 2 1 2 , 5 2 3 0 2 2 -> 5 0 3 2 3 2 2 , 4 3 0 5 2 2 -> 5 0 1 3 2 4 2 , 4 3 5 5 2 2 -> 5 5 3 2 2 1 4 1 , 0 1 2 0 1 2 -> 2 1 1 0 0 3 2 1 , 5 2 0 0 1 2 -> 0 0 3 2 5 1 4 2 , 5 5 5 0 1 2 -> 5 3 5 1 5 0 2 , 0 5 1 3 1 2 -> 0 3 3 5 1 2 1 , 5 2 4 4 1 2 -> 4 5 1 2 2 3 4 , 1 5 3 5 0 2 -> 5 5 1 0 0 3 3 2 , 4 5 2 2 5 2 -> 5 5 4 2 1 2 1 2 , 4 1 0 1 5 2 -> 4 2 0 0 3 5 1 1 , 5 0 1 5 5 2 -> 5 4 5 5 1 0 2 , 4 3 0 2 2 1 -> 0 3 3 2 2 4 1 , 1 5 3 1 2 1 -> 0 0 3 5 1 1 1 2 , 1 0 4 5 2 1 -> 0 4 3 5 1 1 2 , 0 0 1 2 1 1 -> 0 0 1 3 1 1 2 1 , 2 2 0 1 0 1 -> 1 2 1 0 0 3 2 , 5 2 2 1 4 1 -> 1 0 4 5 1 2 2 , 0 2 5 3 4 1 -> 4 5 1 0 3 3 2 , 5 5 3 0 1 2 2 -> 1 0 2 3 2 5 1 5 , 1 0 4 3 0 2 2 -> 0 3 0 3 1 4 2 2 , 4 3 5 2 2 1 2 -> 1 3 4 2 5 2 3 2 , 5 2 4 4 0 1 2 -> 4 0 3 2 1 2 4 5 , 4 3 1 5 0 5 2 -> 5 1 3 2 0 5 4 1 , 1 5 0 2 5 5 2 -> 5 0 5 1 2 2 3 5 , 4 3 5 0 5 5 2 -> 5 5 5 4 1 0 3 2 , 5 4 3 0 1 2 1 -> 4 3 1 5 1 0 2 3 , 0 0 2 0 2 1 1 -> 0 0 3 2 0 2 1 1 , 5 3 5 3 4 0 1 -> 5 3 4 0 0 3 1 5 , 0 5 0 5 3 4 1 -> 4 5 1 0 0 3 1 5 } Applying sparse tiling TRFC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo { (0,0)->0, (0,1)->1, (1,2)->2, (2,2)->3, (2,0)->4, (0,2)->5, (2,1)->6, (1,3)->7, (3,2)->8, (2,3)->9, (2,4)->10, (2,5)->11, (2,7)->12, (1,0)->13, (3,0)->14, (4,0)->15, (5,0)->16, (6,0)->17, (0,3)->18, (1,1)->19, (1,4)->20, (1,5)->21, (1,7)->22, (0,4)->23, (4,1)->24, (3,4)->25, (4,4)->26, (5,4)->27, (6,4)->28, (0,5)->29, (5,2)->30, (5,5)->31, (3,5)->32, (4,5)->33, (6,5)->34, (5,1)->35, (4,2)->36, (5,3)->37, (5,7)->38, (3,1)->39, (3,3)->40, (4,3)->41, (6,3)->42, (6,1)->43, (3,7)->44, (6,2)->45, (4,7)->46 }, it remains to prove termination of the 3871-rule system { 0 1 2 3 4 -> 0 5 6 7 8 4 , 0 1 2 3 6 -> 0 5 6 7 8 6 , 0 1 2 3 3 -> 0 5 6 7 8 3 , 0 1 2 3 9 -> 0 5 6 7 8 9 , 0 1 2 3 10 -> 0 5 6 7 8 10 , 0 1 2 3 11 -> 0 5 6 7 8 11 , 0 1 2 3 12 -> 0 5 6 7 8 12 , 13 1 2 3 4 -> 13 5 6 7 8 4 , 13 1 2 3 6 -> 13 5 6 7 8 6 , 13 1 2 3 3 -> 13 5 6 7 8 3 , 13 1 2 3 9 -> 13 5 6 7 8 9 , 13 1 2 3 10 -> 13 5 6 7 8 10 , 13 1 2 3 11 -> 13 5 6 7 8 11 , 13 1 2 3 12 -> 13 5 6 7 8 12 , 4 1 2 3 4 -> 4 5 6 7 8 4 , 4 1 2 3 6 -> 4 5 6 7 8 6 , 4 1 2 3 3 -> 4 5 6 7 8 3 , 4 1 2 3 9 -> 4 5 6 7 8 9 , 4 1 2 3 10 -> 4 5 6 7 8 10 , 4 1 2 3 11 -> 4 5 6 7 8 11 , 4 1 2 3 12 -> 4 5 6 7 8 12 , 14 1 2 3 4 -> 14 5 6 7 8 4 , 14 1 2 3 6 -> 14 5 6 7 8 6 , 14 1 2 3 3 -> 14 5 6 7 8 3 , 14 1 2 3 9 -> 14 5 6 7 8 9 , 14 1 2 3 10 -> 14 5 6 7 8 10 , 14 1 2 3 11 -> 14 5 6 7 8 11 , 14 1 2 3 12 -> 14 5 6 7 8 12 , 15 1 2 3 4 -> 15 5 6 7 8 4 , 15 1 2 3 6 -> 15 5 6 7 8 6 , 15 1 2 3 3 -> 15 5 6 7 8 3 , 15 1 2 3 9 -> 15 5 6 7 8 9 , 15 1 2 3 10 -> 15 5 6 7 8 10 , 15 1 2 3 11 -> 15 5 6 7 8 11 , 15 1 2 3 12 -> 15 5 6 7 8 12 , 16 1 2 3 4 -> 16 5 6 7 8 4 , 16 1 2 3 6 -> 16 5 6 7 8 6 , 16 1 2 3 3 -> 16 5 6 7 8 3 , 16 1 2 3 9 -> 16 5 6 7 8 9 , 16 1 2 3 10 -> 16 5 6 7 8 10 , 16 1 2 3 11 -> 16 5 6 7 8 11 , 16 1 2 3 12 -> 16 5 6 7 8 12 , 17 1 2 3 4 -> 17 5 6 7 8 4 , 17 1 2 3 6 -> 17 5 6 7 8 6 , 17 1 2 3 3 -> 17 5 6 7 8 3 , 17 1 2 3 9 -> 17 5 6 7 8 9 , 17 1 2 3 10 -> 17 5 6 7 8 10 , 17 1 2 3 11 -> 17 5 6 7 8 11 , 17 1 2 3 12 -> 17 5 6 7 8 12 , 0 0 1 2 4 -> 0 0 18 8 4 1 13 , 0 0 1 2 6 -> 0 0 18 8 4 1 19 , 0 0 1 2 3 -> 0 0 18 8 4 1 2 , 0 0 1 2 9 -> 0 0 18 8 4 1 7 , 0 0 1 2 10 -> 0 0 18 8 4 1 20 , 0 0 1 2 11 -> 0 0 18 8 4 1 21 , 0 0 1 2 12 -> 0 0 18 8 4 1 22 , 13 0 1 2 4 -> 13 0 18 8 4 1 13 , 13 0 1 2 6 -> 13 0 18 8 4 1 19 , 13 0 1 2 3 -> 13 0 18 8 4 1 2 , 13 0 1 2 9 -> 13 0 18 8 4 1 7 , 13 0 1 2 10 -> 13 0 18 8 4 1 20 , 13 0 1 2 11 -> 13 0 18 8 4 1 21 , 13 0 1 2 12 -> 13 0 18 8 4 1 22 , 4 0 1 2 4 -> 4 0 18 8 4 1 13 , 4 0 1 2 6 -> 4 0 18 8 4 1 19 , 4 0 1 2 3 -> 4 0 18 8 4 1 2 , 4 0 1 2 9 -> 4 0 18 8 4 1 7 , 4 0 1 2 10 -> 4 0 18 8 4 1 20 , 4 0 1 2 11 -> 4 0 18 8 4 1 21 , 4 0 1 2 12 -> 4 0 18 8 4 1 22 , 14 0 1 2 4 -> 14 0 18 8 4 1 13 , 14 0 1 2 6 -> 14 0 18 8 4 1 19 , 14 0 1 2 3 -> 14 0 18 8 4 1 2 , 14 0 1 2 9 -> 14 0 18 8 4 1 7 , 14 0 1 2 10 -> 14 0 18 8 4 1 20 , 14 0 1 2 11 -> 14 0 18 8 4 1 21 , 14 0 1 2 12 -> 14 0 18 8 4 1 22 , 15 0 1 2 4 -> 15 0 18 8 4 1 13 , 15 0 1 2 6 -> 15 0 18 8 4 1 19 , 15 0 1 2 3 -> 15 0 18 8 4 1 2 , 15 0 1 2 9 -> 15 0 18 8 4 1 7 , 15 0 1 2 10 -> 15 0 18 8 4 1 20 , 15 0 1 2 11 -> 15 0 18 8 4 1 21 , 15 0 1 2 12 -> 15 0 18 8 4 1 22 , 16 0 1 2 4 -> 16 0 18 8 4 1 13 , 16 0 1 2 6 -> 16 0 18 8 4 1 19 , 16 0 1 2 3 -> 16 0 18 8 4 1 2 , 16 0 1 2 9 -> 16 0 18 8 4 1 7 , 16 0 1 2 10 -> 16 0 18 8 4 1 20 , 16 0 1 2 11 -> 16 0 18 8 4 1 21 , 16 0 1 2 12 -> 16 0 18 8 4 1 22 , 17 0 1 2 4 -> 17 0 18 8 4 1 13 , 17 0 1 2 6 -> 17 0 18 8 4 1 19 , 17 0 1 2 3 -> 17 0 18 8 4 1 2 , 17 0 1 2 9 -> 17 0 18 8 4 1 7 , 17 0 1 2 10 -> 17 0 18 8 4 1 20 , 17 0 1 2 11 -> 17 0 18 8 4 1 21 , 17 0 1 2 12 -> 17 0 18 8 4 1 22 , 23 15 1 2 4 -> 23 24 7 14 18 8 4 , 23 15 1 2 6 -> 23 24 7 14 18 8 6 , 23 15 1 2 3 -> 23 24 7 14 18 8 3 , 23 15 1 2 9 -> 23 24 7 14 18 8 9 , 23 15 1 2 10 -> 23 24 7 14 18 8 10 , 23 15 1 2 11 -> 23 24 7 14 18 8 11 , 23 15 1 2 12 -> 23 24 7 14 18 8 12 , 20 15 1 2 4 -> 20 24 7 14 18 8 4 , 20 15 1 2 6 -> 20 24 7 14 18 8 6 , 20 15 1 2 3 -> 20 24 7 14 18 8 3 , 20 15 1 2 9 -> 20 24 7 14 18 8 9 , 20 15 1 2 10 -> 20 24 7 14 18 8 10 , 20 15 1 2 11 -> 20 24 7 14 18 8 11 , 20 15 1 2 12 -> 20 24 7 14 18 8 12 , 10 15 1 2 4 -> 10 24 7 14 18 8 4 , 10 15 1 2 6 -> 10 24 7 14 18 8 6 , 10 15 1 2 3 -> 10 24 7 14 18 8 3 , 10 15 1 2 9 -> 10 24 7 14 18 8 9 , 10 15 1 2 10 -> 10 24 7 14 18 8 10 , 10 15 1 2 11 -> 10 24 7 14 18 8 11 , 10 15 1 2 12 -> 10 24 7 14 18 8 12 , 25 15 1 2 4 -> 25 24 7 14 18 8 4 , 25 15 1 2 6 -> 25 24 7 14 18 8 6 , 25 15 1 2 3 -> 25 24 7 14 18 8 3 , 25 15 1 2 9 -> 25 24 7 14 18 8 9 , 25 15 1 2 10 -> 25 24 7 14 18 8 10 , 25 15 1 2 11 -> 25 24 7 14 18 8 11 , 25 15 1 2 12 -> 25 24 7 14 18 8 12 , 26 15 1 2 4 -> 26 24 7 14 18 8 4 , 26 15 1 2 6 -> 26 24 7 14 18 8 6 , 26 15 1 2 3 -> 26 24 7 14 18 8 3 , 26 15 1 2 9 -> 26 24 7 14 18 8 9 , 26 15 1 2 10 -> 26 24 7 14 18 8 10 , 26 15 1 2 11 -> 26 24 7 14 18 8 11 , 26 15 1 2 12 -> 26 24 7 14 18 8 12 , 27 15 1 2 4 -> 27 24 7 14 18 8 4 , 27 15 1 2 6 -> 27 24 7 14 18 8 6 , 27 15 1 2 3 -> 27 24 7 14 18 8 3 , 27 15 1 2 9 -> 27 24 7 14 18 8 9 , 27 15 1 2 10 -> 27 24 7 14 18 8 10 , 27 15 1 2 11 -> 27 24 7 14 18 8 11 , 27 15 1 2 12 -> 27 24 7 14 18 8 12 , 28 15 1 2 4 -> 28 24 7 14 18 8 4 , 28 15 1 2 6 -> 28 24 7 14 18 8 6 , 28 15 1 2 3 -> 28 24 7 14 18 8 3 , 28 15 1 2 9 -> 28 24 7 14 18 8 9 , 28 15 1 2 10 -> 28 24 7 14 18 8 10 , 28 15 1 2 11 -> 28 24 7 14 18 8 11 , 28 15 1 2 12 -> 28 24 7 14 18 8 12 , 29 30 11 30 4 -> 29 31 30 9 8 4 , 29 30 11 30 6 -> 29 31 30 9 8 6 , 29 30 11 30 3 -> 29 31 30 9 8 3 , 29 30 11 30 9 -> 29 31 30 9 8 9 , 29 30 11 30 10 -> 29 31 30 9 8 10 , 29 30 11 30 11 -> 29 31 30 9 8 11 , 29 30 11 30 12 -> 29 31 30 9 8 12 , 21 30 11 30 4 -> 21 31 30 9 8 4 , 21 30 11 30 6 -> 21 31 30 9 8 6 , 21 30 11 30 3 -> 21 31 30 9 8 3 , 21 30 11 30 9 -> 21 31 30 9 8 9 , 21 30 11 30 10 -> 21 31 30 9 8 10 , 21 30 11 30 11 -> 21 31 30 9 8 11 , 21 30 11 30 12 -> 21 31 30 9 8 12 , 11 30 11 30 4 -> 11 31 30 9 8 4 , 11 30 11 30 6 -> 11 31 30 9 8 6 , 11 30 11 30 3 -> 11 31 30 9 8 3 , 11 30 11 30 9 -> 11 31 30 9 8 9 , 11 30 11 30 10 -> 11 31 30 9 8 10 , 11 30 11 30 11 -> 11 31 30 9 8 11 , 11 30 11 30 12 -> 11 31 30 9 8 12 , 32 30 11 30 4 -> 32 31 30 9 8 4 , 32 30 11 30 6 -> 32 31 30 9 8 6 , 32 30 11 30 3 -> 32 31 30 9 8 3 , 32 30 11 30 9 -> 32 31 30 9 8 9 , 32 30 11 30 10 -> 32 31 30 9 8 10 , 32 30 11 30 11 -> 32 31 30 9 8 11 , 32 30 11 30 12 -> 32 31 30 9 8 12 , 33 30 11 30 4 -> 33 31 30 9 8 4 , 33 30 11 30 6 -> 33 31 30 9 8 6 , 33 30 11 30 3 -> 33 31 30 9 8 3 , 33 30 11 30 9 -> 33 31 30 9 8 9 , 33 30 11 30 10 -> 33 31 30 9 8 10 , 33 30 11 30 11 -> 33 31 30 9 8 11 , 33 30 11 30 12 -> 33 31 30 9 8 12 , 31 30 11 30 4 -> 31 31 30 9 8 4 , 31 30 11 30 6 -> 31 31 30 9 8 6 , 31 30 11 30 3 -> 31 31 30 9 8 3 , 31 30 11 30 9 -> 31 31 30 9 8 9 , 31 30 11 30 10 -> 31 31 30 9 8 10 , 31 30 11 30 11 -> 31 31 30 9 8 11 , 31 30 11 30 12 -> 31 31 30 9 8 12 , 34 30 11 30 4 -> 34 31 30 9 8 4 , 34 30 11 30 6 -> 34 31 30 9 8 6 , 34 30 11 30 3 -> 34 31 30 9 8 3 , 34 30 11 30 9 -> 34 31 30 9 8 9 , 34 30 11 30 10 -> 34 31 30 9 8 10 , 34 30 11 30 11 -> 34 31 30 9 8 11 , 34 30 11 30 12 -> 34 31 30 9 8 12 , 0 1 21 30 4 -> 0 29 35 2 6 13 , 0 1 21 30 6 -> 0 29 35 2 6 19 , 0 1 21 30 3 -> 0 29 35 2 6 2 , 0 1 21 30 9 -> 0 29 35 2 6 7 , 0 1 21 30 10 -> 0 29 35 2 6 20 , 0 1 21 30 11 -> 0 29 35 2 6 21 , 0 1 21 30 12 -> 0 29 35 2 6 22 , 13 1 21 30 4 -> 13 29 35 2 6 13 , 13 1 21 30 6 -> 13 29 35 2 6 19 , 13 1 21 30 3 -> 13 29 35 2 6 2 , 13 1 21 30 9 -> 13 29 35 2 6 7 , 13 1 21 30 10 -> 13 29 35 2 6 20 , 13 1 21 30 11 -> 13 29 35 2 6 21 , 13 1 21 30 12 -> 13 29 35 2 6 22 , 4 1 21 30 4 -> 4 29 35 2 6 13 , 4 1 21 30 6 -> 4 29 35 2 6 19 , 4 1 21 30 3 -> 4 29 35 2 6 2 , 4 1 21 30 9 -> 4 29 35 2 6 7 , 4 1 21 30 10 -> 4 29 35 2 6 20 , 4 1 21 30 11 -> 4 29 35 2 6 21 , 4 1 21 30 12 -> 4 29 35 2 6 22 , 14 1 21 30 4 -> 14 29 35 2 6 13 , 14 1 21 30 6 -> 14 29 35 2 6 19 , 14 1 21 30 3 -> 14 29 35 2 6 2 , 14 1 21 30 9 -> 14 29 35 2 6 7 , 14 1 21 30 10 -> 14 29 35 2 6 20 , 14 1 21 30 11 -> 14 29 35 2 6 21 , 14 1 21 30 12 -> 14 29 35 2 6 22 , 15 1 21 30 4 -> 15 29 35 2 6 13 , 15 1 21 30 6 -> 15 29 35 2 6 19 , 15 1 21 30 3 -> 15 29 35 2 6 2 , 15 1 21 30 9 -> 15 29 35 2 6 7 , 15 1 21 30 10 -> 15 29 35 2 6 20 , 15 1 21 30 11 -> 15 29 35 2 6 21 , 15 1 21 30 12 -> 15 29 35 2 6 22 , 16 1 21 30 4 -> 16 29 35 2 6 13 , 16 1 21 30 6 -> 16 29 35 2 6 19 , 16 1 21 30 3 -> 16 29 35 2 6 2 , 16 1 21 30 9 -> 16 29 35 2 6 7 , 16 1 21 30 10 -> 16 29 35 2 6 20 , 16 1 21 30 11 -> 16 29 35 2 6 21 , 16 1 21 30 12 -> 16 29 35 2 6 22 , 17 1 21 30 4 -> 17 29 35 2 6 13 , 17 1 21 30 6 -> 17 29 35 2 6 19 , 17 1 21 30 3 -> 17 29 35 2 6 2 , 17 1 21 30 9 -> 17 29 35 2 6 7 , 17 1 21 30 10 -> 17 29 35 2 6 20 , 17 1 21 30 11 -> 17 29 35 2 6 21 , 17 1 21 30 12 -> 17 29 35 2 6 22 , 0 1 21 30 4 -> 0 29 35 2 6 2 4 , 0 1 21 30 6 -> 0 29 35 2 6 2 6 , 0 1 21 30 3 -> 0 29 35 2 6 2 3 , 0 1 21 30 9 -> 0 29 35 2 6 2 9 , 0 1 21 30 10 -> 0 29 35 2 6 2 10 , 0 1 21 30 11 -> 0 29 35 2 6 2 11 , 0 1 21 30 12 -> 0 29 35 2 6 2 12 , 13 1 21 30 4 -> 13 29 35 2 6 2 4 , 13 1 21 30 6 -> 13 29 35 2 6 2 6 , 13 1 21 30 3 -> 13 29 35 2 6 2 3 , 13 1 21 30 9 -> 13 29 35 2 6 2 9 , 13 1 21 30 10 -> 13 29 35 2 6 2 10 , 13 1 21 30 11 -> 13 29 35 2 6 2 11 , 13 1 21 30 12 -> 13 29 35 2 6 2 12 , 4 1 21 30 4 -> 4 29 35 2 6 2 4 , 4 1 21 30 6 -> 4 29 35 2 6 2 6 , 4 1 21 30 3 -> 4 29 35 2 6 2 3 , 4 1 21 30 9 -> 4 29 35 2 6 2 9 , 4 1 21 30 10 -> 4 29 35 2 6 2 10 , 4 1 21 30 11 -> 4 29 35 2 6 2 11 , 4 1 21 30 12 -> 4 29 35 2 6 2 12 , 14 1 21 30 4 -> 14 29 35 2 6 2 4 , 14 1 21 30 6 -> 14 29 35 2 6 2 6 , 14 1 21 30 3 -> 14 29 35 2 6 2 3 , 14 1 21 30 9 -> 14 29 35 2 6 2 9 , 14 1 21 30 10 -> 14 29 35 2 6 2 10 , 14 1 21 30 11 -> 14 29 35 2 6 2 11 , 14 1 21 30 12 -> 14 29 35 2 6 2 12 , 15 1 21 30 4 -> 15 29 35 2 6 2 4 , 15 1 21 30 6 -> 15 29 35 2 6 2 6 , 15 1 21 30 3 -> 15 29 35 2 6 2 3 , 15 1 21 30 9 -> 15 29 35 2 6 2 9 , 15 1 21 30 10 -> 15 29 35 2 6 2 10 , 15 1 21 30 11 -> 15 29 35 2 6 2 11 , 15 1 21 30 12 -> 15 29 35 2 6 2 12 , 16 1 21 30 4 -> 16 29 35 2 6 2 4 , 16 1 21 30 6 -> 16 29 35 2 6 2 6 , 16 1 21 30 3 -> 16 29 35 2 6 2 3 , 16 1 21 30 9 -> 16 29 35 2 6 2 9 , 16 1 21 30 10 -> 16 29 35 2 6 2 10 , 16 1 21 30 11 -> 16 29 35 2 6 2 11 , 16 1 21 30 12 -> 16 29 35 2 6 2 12 , 17 1 21 30 4 -> 17 29 35 2 6 2 4 , 17 1 21 30 6 -> 17 29 35 2 6 2 6 , 17 1 21 30 3 -> 17 29 35 2 6 2 3 , 17 1 21 30 9 -> 17 29 35 2 6 2 9 , 17 1 21 30 10 -> 17 29 35 2 6 2 10 , 17 1 21 30 11 -> 17 29 35 2 6 2 11 , 17 1 21 30 12 -> 17 29 35 2 6 2 12 , 0 1 21 30 4 -> 29 35 7 14 18 8 4 , 0 1 21 30 6 -> 29 35 7 14 18 8 6 , 0 1 21 30 3 -> 29 35 7 14 18 8 3 , 0 1 21 30 9 -> 29 35 7 14 18 8 9 , 0 1 21 30 10 -> 29 35 7 14 18 8 10 , 0 1 21 30 11 -> 29 35 7 14 18 8 11 , 0 1 21 30 12 -> 29 35 7 14 18 8 12 , 13 1 21 30 4 -> 21 35 7 14 18 8 4 , 13 1 21 30 6 -> 21 35 7 14 18 8 6 , 13 1 21 30 3 -> 21 35 7 14 18 8 3 , 13 1 21 30 9 -> 21 35 7 14 18 8 9 , 13 1 21 30 10 -> 21 35 7 14 18 8 10 , 13 1 21 30 11 -> 21 35 7 14 18 8 11 , 13 1 21 30 12 -> 21 35 7 14 18 8 12 , 4 1 21 30 4 -> 11 35 7 14 18 8 4 , 4 1 21 30 6 -> 11 35 7 14 18 8 6 , 4 1 21 30 3 -> 11 35 7 14 18 8 3 , 4 1 21 30 9 -> 11 35 7 14 18 8 9 , 4 1 21 30 10 -> 11 35 7 14 18 8 10 , 4 1 21 30 11 -> 11 35 7 14 18 8 11 , 4 1 21 30 12 -> 11 35 7 14 18 8 12 , 14 1 21 30 4 -> 32 35 7 14 18 8 4 , 14 1 21 30 6 -> 32 35 7 14 18 8 6 , 14 1 21 30 3 -> 32 35 7 14 18 8 3 , 14 1 21 30 9 -> 32 35 7 14 18 8 9 , 14 1 21 30 10 -> 32 35 7 14 18 8 10 , 14 1 21 30 11 -> 32 35 7 14 18 8 11 , 14 1 21 30 12 -> 32 35 7 14 18 8 12 , 15 1 21 30 4 -> 33 35 7 14 18 8 4 , 15 1 21 30 6 -> 33 35 7 14 18 8 6 , 15 1 21 30 3 -> 33 35 7 14 18 8 3 , 15 1 21 30 9 -> 33 35 7 14 18 8 9 , 15 1 21 30 10 -> 33 35 7 14 18 8 10 , 15 1 21 30 11 -> 33 35 7 14 18 8 11 , 15 1 21 30 12 -> 33 35 7 14 18 8 12 , 16 1 21 30 4 -> 31 35 7 14 18 8 4 , 16 1 21 30 6 -> 31 35 7 14 18 8 6 , 16 1 21 30 3 -> 31 35 7 14 18 8 3 , 16 1 21 30 9 -> 31 35 7 14 18 8 9 , 16 1 21 30 10 -> 31 35 7 14 18 8 10 , 16 1 21 30 11 -> 31 35 7 14 18 8 11 , 16 1 21 30 12 -> 31 35 7 14 18 8 12 , 17 1 21 30 4 -> 34 35 7 14 18 8 4 , 17 1 21 30 6 -> 34 35 7 14 18 8 6 , 17 1 21 30 3 -> 34 35 7 14 18 8 3 , 17 1 21 30 9 -> 34 35 7 14 18 8 9 , 17 1 21 30 10 -> 34 35 7 14 18 8 10 , 17 1 21 30 11 -> 34 35 7 14 18 8 11 , 17 1 21 30 12 -> 34 35 7 14 18 8 12 , 0 23 33 30 4 -> 0 18 32 27 36 4 , 0 23 33 30 6 -> 0 18 32 27 36 6 , 0 23 33 30 3 -> 0 18 32 27 36 3 , 0 23 33 30 9 -> 0 18 32 27 36 9 , 0 23 33 30 10 -> 0 18 32 27 36 10 , 0 23 33 30 11 -> 0 18 32 27 36 11 , 0 23 33 30 12 -> 0 18 32 27 36 12 , 13 23 33 30 4 -> 13 18 32 27 36 4 , 13 23 33 30 6 -> 13 18 32 27 36 6 , 13 23 33 30 3 -> 13 18 32 27 36 3 , 13 23 33 30 9 -> 13 18 32 27 36 9 , 13 23 33 30 10 -> 13 18 32 27 36 10 , 13 23 33 30 11 -> 13 18 32 27 36 11 , 13 23 33 30 12 -> 13 18 32 27 36 12 , 4 23 33 30 4 -> 4 18 32 27 36 4 , 4 23 33 30 6 -> 4 18 32 27 36 6 , 4 23 33 30 3 -> 4 18 32 27 36 3 , 4 23 33 30 9 -> 4 18 32 27 36 9 , 4 23 33 30 10 -> 4 18 32 27 36 10 , 4 23 33 30 11 -> 4 18 32 27 36 11 , 4 23 33 30 12 -> 4 18 32 27 36 12 , 14 23 33 30 4 -> 14 18 32 27 36 4 , 14 23 33 30 6 -> 14 18 32 27 36 6 , 14 23 33 30 3 -> 14 18 32 27 36 3 , 14 23 33 30 9 -> 14 18 32 27 36 9 , 14 23 33 30 10 -> 14 18 32 27 36 10 , 14 23 33 30 11 -> 14 18 32 27 36 11 , 14 23 33 30 12 -> 14 18 32 27 36 12 , 15 23 33 30 4 -> 15 18 32 27 36 4 , 15 23 33 30 6 -> 15 18 32 27 36 6 , 15 23 33 30 3 -> 15 18 32 27 36 3 , 15 23 33 30 9 -> 15 18 32 27 36 9 , 15 23 33 30 10 -> 15 18 32 27 36 10 , 15 23 33 30 11 -> 15 18 32 27 36 11 , 15 23 33 30 12 -> 15 18 32 27 36 12 , 16 23 33 30 4 -> 16 18 32 27 36 4 , 16 23 33 30 6 -> 16 18 32 27 36 6 , 16 23 33 30 3 -> 16 18 32 27 36 3 , 16 23 33 30 9 -> 16 18 32 27 36 9 , 16 23 33 30 10 -> 16 18 32 27 36 10 , 16 23 33 30 11 -> 16 18 32 27 36 11 , 16 23 33 30 12 -> 16 18 32 27 36 12 , 17 23 33 30 4 -> 17 18 32 27 36 4 , 17 23 33 30 6 -> 17 18 32 27 36 6 , 17 23 33 30 3 -> 17 18 32 27 36 3 , 17 23 33 30 9 -> 17 18 32 27 36 9 , 17 23 33 30 10 -> 17 18 32 27 36 10 , 17 23 33 30 11 -> 17 18 32 27 36 11 , 17 23 33 30 12 -> 17 18 32 27 36 12 , 0 29 31 30 4 -> 0 29 35 2 11 16 , 0 29 31 30 6 -> 0 29 35 2 11 35 , 0 29 31 30 3 -> 0 29 35 2 11 30 , 0 29 31 30 9 -> 0 29 35 2 11 37 , 0 29 31 30 10 -> 0 29 35 2 11 27 , 0 29 31 30 11 -> 0 29 35 2 11 31 , 0 29 31 30 12 -> 0 29 35 2 11 38 , 13 29 31 30 4 -> 13 29 35 2 11 16 , 13 29 31 30 6 -> 13 29 35 2 11 35 , 13 29 31 30 3 -> 13 29 35 2 11 30 , 13 29 31 30 9 -> 13 29 35 2 11 37 , 13 29 31 30 10 -> 13 29 35 2 11 27 , 13 29 31 30 11 -> 13 29 35 2 11 31 , 13 29 31 30 12 -> 13 29 35 2 11 38 , 4 29 31 30 4 -> 4 29 35 2 11 16 , 4 29 31 30 6 -> 4 29 35 2 11 35 , 4 29 31 30 3 -> 4 29 35 2 11 30 , 4 29 31 30 9 -> 4 29 35 2 11 37 , 4 29 31 30 10 -> 4 29 35 2 11 27 , 4 29 31 30 11 -> 4 29 35 2 11 31 , 4 29 31 30 12 -> 4 29 35 2 11 38 , 14 29 31 30 4 -> 14 29 35 2 11 16 , 14 29 31 30 6 -> 14 29 35 2 11 35 , 14 29 31 30 3 -> 14 29 35 2 11 30 , 14 29 31 30 9 -> 14 29 35 2 11 37 , 14 29 31 30 10 -> 14 29 35 2 11 27 , 14 29 31 30 11 -> 14 29 35 2 11 31 , 14 29 31 30 12 -> 14 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19 7 , 33 30 3 6 20 -> 26 33 35 2 3 6 19 20 , 33 30 3 6 21 -> 26 33 35 2 3 6 19 21 , 33 30 3 6 22 -> 26 33 35 2 3 6 19 22 , 31 30 3 6 13 -> 27 33 35 2 3 6 19 13 , 31 30 3 6 19 -> 27 33 35 2 3 6 19 19 , 31 30 3 6 2 -> 27 33 35 2 3 6 19 2 , 31 30 3 6 7 -> 27 33 35 2 3 6 19 7 , 31 30 3 6 20 -> 27 33 35 2 3 6 19 20 , 31 30 3 6 21 -> 27 33 35 2 3 6 19 21 , 31 30 3 6 22 -> 27 33 35 2 3 6 19 22 , 34 30 3 6 13 -> 28 33 35 2 3 6 19 13 , 34 30 3 6 19 -> 28 33 35 2 3 6 19 19 , 34 30 3 6 2 -> 28 33 35 2 3 6 19 2 , 34 30 3 6 7 -> 28 33 35 2 3 6 19 7 , 34 30 3 6 20 -> 28 33 35 2 3 6 19 20 , 34 30 3 6 21 -> 28 33 35 2 3 6 19 21 , 34 30 3 6 22 -> 28 33 35 2 3 6 19 22 , 0 1 2 6 13 -> 0 5 9 39 19 13 , 0 1 2 6 19 -> 0 5 9 39 19 19 , 0 1 2 6 2 -> 0 5 9 39 19 2 , 0 1 2 6 7 -> 0 5 9 39 19 7 , 0 1 2 6 20 -> 0 5 9 39 19 20 , 0 1 2 6 21 -> 0 5 9 39 19 21 , 0 1 2 6 22 -> 0 5 9 39 19 22 , 13 1 2 6 13 -> 13 5 9 39 19 13 , 13 1 2 6 19 -> 13 5 9 39 19 19 , 13 1 2 6 2 -> 13 5 9 39 19 2 , 13 1 2 6 7 -> 13 5 9 39 19 7 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14 0 18 8 6 19 2 , 14 1 2 6 7 -> 14 0 18 8 6 19 7 , 14 1 2 6 20 -> 14 0 18 8 6 19 20 , 14 1 2 6 21 -> 14 0 18 8 6 19 21 , 14 1 2 6 22 -> 14 0 18 8 6 19 22 , 15 1 2 6 13 -> 15 0 18 8 6 19 13 , 15 1 2 6 19 -> 15 0 18 8 6 19 19 , 15 1 2 6 2 -> 15 0 18 8 6 19 2 , 15 1 2 6 7 -> 15 0 18 8 6 19 7 , 15 1 2 6 20 -> 15 0 18 8 6 19 20 , 15 1 2 6 21 -> 15 0 18 8 6 19 21 , 15 1 2 6 22 -> 15 0 18 8 6 19 22 , 16 1 2 6 13 -> 16 0 18 8 6 19 13 , 16 1 2 6 19 -> 16 0 18 8 6 19 19 , 16 1 2 6 2 -> 16 0 18 8 6 19 2 , 16 1 2 6 7 -> 16 0 18 8 6 19 7 , 16 1 2 6 20 -> 16 0 18 8 6 19 20 , 16 1 2 6 21 -> 16 0 18 8 6 19 21 , 16 1 2 6 22 -> 16 0 18 8 6 19 22 , 17 1 2 6 13 -> 17 0 18 8 6 19 13 , 17 1 2 6 19 -> 17 0 18 8 6 19 19 , 17 1 2 6 2 -> 17 0 18 8 6 19 2 , 17 1 2 6 7 -> 17 0 18 8 6 19 7 , 17 1 2 6 20 -> 17 0 18 8 6 19 20 , 17 1 2 6 21 -> 17 0 18 8 6 19 21 , 17 1 2 6 22 -> 17 0 18 8 6 19 22 , 0 1 2 6 13 -> 18 14 18 8 6 19 13 , 0 1 2 6 19 -> 18 14 18 8 6 19 19 , 0 1 2 6 2 -> 18 14 18 8 6 19 2 , 0 1 2 6 7 -> 18 14 18 8 6 19 7 , 0 1 2 6 20 -> 18 14 18 8 6 19 20 , 0 1 2 6 21 -> 18 14 18 8 6 19 21 , 0 1 2 6 22 -> 18 14 18 8 6 19 22 , 13 1 2 6 13 -> 7 14 18 8 6 19 13 , 13 1 2 6 19 -> 7 14 18 8 6 19 19 , 13 1 2 6 2 -> 7 14 18 8 6 19 2 , 13 1 2 6 7 -> 7 14 18 8 6 19 7 , 13 1 2 6 20 -> 7 14 18 8 6 19 20 , 13 1 2 6 21 -> 7 14 18 8 6 19 21 , 13 1 2 6 22 -> 7 14 18 8 6 19 22 , 4 1 2 6 13 -> 9 14 18 8 6 19 13 , 4 1 2 6 19 -> 9 14 18 8 6 19 19 , 4 1 2 6 2 -> 9 14 18 8 6 19 2 , 4 1 2 6 7 -> 9 14 18 8 6 19 7 , 4 1 2 6 20 -> 9 14 18 8 6 19 20 , 4 1 2 6 21 -> 9 14 18 8 6 19 21 , 4 1 2 6 22 -> 9 14 18 8 6 19 22 , 14 1 2 6 13 -> 40 14 18 8 6 19 13 , 14 1 2 6 19 -> 40 14 18 8 6 19 19 , 14 1 2 6 2 -> 40 14 18 8 6 19 2 , 14 1 2 6 7 -> 40 14 18 8 6 19 7 , 14 1 2 6 20 -> 40 14 18 8 6 19 20 , 14 1 2 6 21 -> 40 14 18 8 6 19 21 , 14 1 2 6 22 -> 40 14 18 8 6 19 22 , 15 1 2 6 13 -> 41 14 18 8 6 19 13 , 15 1 2 6 19 -> 41 14 18 8 6 19 19 , 15 1 2 6 2 -> 41 14 18 8 6 19 2 , 15 1 2 6 7 -> 41 14 18 8 6 19 7 , 15 1 2 6 20 -> 41 14 18 8 6 19 20 , 15 1 2 6 21 -> 41 14 18 8 6 19 21 , 15 1 2 6 22 -> 41 14 18 8 6 19 22 , 16 1 2 6 13 -> 37 14 18 8 6 19 13 , 16 1 2 6 19 -> 37 14 18 8 6 19 19 , 16 1 2 6 2 -> 37 14 18 8 6 19 2 , 16 1 2 6 7 -> 37 14 18 8 6 19 7 , 16 1 2 6 20 -> 37 14 18 8 6 19 20 , 16 1 2 6 21 -> 37 14 18 8 6 19 21 , 16 1 2 6 22 -> 37 14 18 8 6 19 22 , 17 1 2 6 13 -> 42 14 18 8 6 19 13 , 17 1 2 6 19 -> 42 14 18 8 6 19 19 , 17 1 2 6 2 -> 42 14 18 8 6 19 2 , 17 1 2 6 7 -> 42 14 18 8 6 19 7 , 17 1 2 6 20 -> 42 14 18 8 6 19 20 , 17 1 2 6 21 -> 42 14 18 8 6 19 21 , 17 1 2 6 22 -> 42 14 18 8 6 19 22 , 23 33 30 6 13 -> 23 33 35 19 2 4 , 23 33 30 6 19 -> 23 33 35 19 2 6 , 23 33 30 6 2 -> 23 33 35 19 2 3 , 23 33 30 6 7 -> 23 33 35 19 2 9 , 23 33 30 6 20 -> 23 33 35 19 2 10 , 23 33 30 6 21 -> 23 33 35 19 2 11 , 23 33 30 6 22 -> 23 33 35 19 2 12 , 20 33 30 6 13 -> 20 33 35 19 2 4 , 20 33 30 6 19 -> 20 33 35 19 2 6 , 20 33 30 6 2 -> 20 33 35 19 2 3 , 20 33 30 6 7 -> 20 33 35 19 2 9 , 20 33 30 6 20 -> 20 33 35 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30 6 21 -> 27 33 35 19 2 11 , 27 33 30 6 22 -> 27 33 35 19 2 12 , 28 33 30 6 13 -> 28 33 35 19 2 4 , 28 33 30 6 19 -> 28 33 35 19 2 6 , 28 33 30 6 2 -> 28 33 35 19 2 3 , 28 33 30 6 7 -> 28 33 35 19 2 9 , 28 33 30 6 20 -> 28 33 35 19 2 10 , 28 33 30 6 21 -> 28 33 35 19 2 11 , 28 33 30 6 22 -> 28 33 35 19 2 12 , 29 30 4 1 13 -> 29 35 7 14 18 8 4 , 29 30 4 1 19 -> 29 35 7 14 18 8 6 , 29 30 4 1 2 -> 29 35 7 14 18 8 3 , 29 30 4 1 7 -> 29 35 7 14 18 8 9 , 29 30 4 1 20 -> 29 35 7 14 18 8 10 , 29 30 4 1 21 -> 29 35 7 14 18 8 11 , 29 30 4 1 22 -> 29 35 7 14 18 8 12 , 21 30 4 1 13 -> 21 35 7 14 18 8 4 , 21 30 4 1 19 -> 21 35 7 14 18 8 6 , 21 30 4 1 2 -> 21 35 7 14 18 8 3 , 21 30 4 1 7 -> 21 35 7 14 18 8 9 , 21 30 4 1 20 -> 21 35 7 14 18 8 10 , 21 30 4 1 21 -> 21 35 7 14 18 8 11 , 21 30 4 1 22 -> 21 35 7 14 18 8 12 , 11 30 4 1 13 -> 11 35 7 14 18 8 4 , 11 30 4 1 19 -> 11 35 7 14 18 8 6 , 11 30 4 1 2 -> 11 35 7 14 18 8 3 , 11 30 4 1 7 -> 11 35 7 14 18 8 9 , 11 30 4 1 20 -> 11 35 7 14 18 8 10 , 11 30 4 1 21 -> 11 35 7 14 18 8 11 , 11 30 4 1 22 -> 11 35 7 14 18 8 12 , 32 30 4 1 13 -> 32 35 7 14 18 8 4 , 32 30 4 1 19 -> 32 35 7 14 18 8 6 , 32 30 4 1 2 -> 32 35 7 14 18 8 3 , 32 30 4 1 7 -> 32 35 7 14 18 8 9 , 32 30 4 1 20 -> 32 35 7 14 18 8 10 , 32 30 4 1 21 -> 32 35 7 14 18 8 11 , 32 30 4 1 22 -> 32 35 7 14 18 8 12 , 33 30 4 1 13 -> 33 35 7 14 18 8 4 , 33 30 4 1 19 -> 33 35 7 14 18 8 6 , 33 30 4 1 2 -> 33 35 7 14 18 8 3 , 33 30 4 1 7 -> 33 35 7 14 18 8 9 , 33 30 4 1 20 -> 33 35 7 14 18 8 10 , 33 30 4 1 21 -> 33 35 7 14 18 8 11 , 33 30 4 1 22 -> 33 35 7 14 18 8 12 , 31 30 4 1 13 -> 31 35 7 14 18 8 4 , 31 30 4 1 19 -> 31 35 7 14 18 8 6 , 31 30 4 1 2 -> 31 35 7 14 18 8 3 , 31 30 4 1 7 -> 31 35 7 14 18 8 9 , 31 30 4 1 20 -> 31 35 7 14 18 8 10 , 31 30 4 1 21 -> 31 35 7 14 18 8 11 , 31 30 4 1 22 -> 31 35 7 14 18 8 12 , 34 30 4 1 13 -> 34 35 7 14 18 8 4 , 34 30 4 1 19 -> 34 35 7 14 18 8 6 , 34 30 4 1 2 -> 34 35 7 14 18 8 3 , 34 30 4 1 7 -> 34 35 7 14 18 8 9 , 34 30 4 1 20 -> 34 35 7 14 18 8 10 , 34 30 4 1 21 -> 34 35 7 14 18 8 11 , 34 30 4 1 22 -> 34 35 7 14 18 8 12 , 29 30 4 1 13 -> 1 13 18 40 8 11 16 , 29 30 4 1 19 -> 1 13 18 40 8 11 35 , 29 30 4 1 2 -> 1 13 18 40 8 11 30 , 29 30 4 1 7 -> 1 13 18 40 8 11 37 , 29 30 4 1 20 -> 1 13 18 40 8 11 27 , 29 30 4 1 21 -> 1 13 18 40 8 11 31 , 29 30 4 1 22 -> 1 13 18 40 8 11 38 , 21 30 4 1 13 -> 19 13 18 40 8 11 16 , 21 30 4 1 19 -> 19 13 18 40 8 11 35 , 21 30 4 1 2 -> 19 13 18 40 8 11 30 , 21 30 4 1 7 -> 19 13 18 40 8 11 37 , 21 30 4 1 20 -> 19 13 18 40 8 11 27 , 21 30 4 1 21 -> 19 13 18 40 8 11 31 , 21 30 4 1 22 -> 19 13 18 40 8 11 38 , 11 30 4 1 13 -> 6 13 18 40 8 11 16 , 11 30 4 1 19 -> 6 13 18 40 8 11 35 , 11 30 4 1 2 -> 6 13 18 40 8 11 30 , 11 30 4 1 7 -> 6 13 18 40 8 11 37 , 11 30 4 1 20 -> 6 13 18 40 8 11 27 , 11 30 4 1 21 -> 6 13 18 40 8 11 31 , 11 30 4 1 22 -> 6 13 18 40 8 11 38 , 32 30 4 1 13 -> 39 13 18 40 8 11 16 , 32 30 4 1 19 -> 39 13 18 40 8 11 35 , 32 30 4 1 2 -> 39 13 18 40 8 11 30 , 32 30 4 1 7 -> 39 13 18 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11 35 2 -> 0 29 35 19 2 6 19 2 , 0 5 11 35 7 -> 0 29 35 19 2 6 19 7 , 0 5 11 35 20 -> 0 29 35 19 2 6 19 20 , 0 5 11 35 21 -> 0 29 35 19 2 6 19 21 , 0 5 11 35 22 -> 0 29 35 19 2 6 19 22 , 13 5 11 35 13 -> 13 29 35 19 2 6 19 13 , 13 5 11 35 19 -> 13 29 35 19 2 6 19 19 , 13 5 11 35 2 -> 13 29 35 19 2 6 19 2 , 13 5 11 35 7 -> 13 29 35 19 2 6 19 7 , 13 5 11 35 20 -> 13 29 35 19 2 6 19 20 , 13 5 11 35 21 -> 13 29 35 19 2 6 19 21 , 13 5 11 35 22 -> 13 29 35 19 2 6 19 22 , 4 5 11 35 13 -> 4 29 35 19 2 6 19 13 , 4 5 11 35 19 -> 4 29 35 19 2 6 19 19 , 4 5 11 35 2 -> 4 29 35 19 2 6 19 2 , 4 5 11 35 7 -> 4 29 35 19 2 6 19 7 , 4 5 11 35 20 -> 4 29 35 19 2 6 19 20 , 4 5 11 35 21 -> 4 29 35 19 2 6 19 21 , 4 5 11 35 22 -> 4 29 35 19 2 6 19 22 , 14 5 11 35 13 -> 14 29 35 19 2 6 19 13 , 14 5 11 35 19 -> 14 29 35 19 2 6 19 19 , 14 5 11 35 2 -> 14 29 35 19 2 6 19 2 , 14 5 11 35 7 -> 14 29 35 19 2 6 19 7 , 14 5 11 35 20 -> 14 29 35 19 2 6 19 20 , 14 5 11 35 21 -> 14 29 35 19 2 6 19 21 , 14 5 11 35 22 -> 14 29 35 19 2 6 19 22 , 15 5 11 35 13 -> 15 29 35 19 2 6 19 13 , 15 5 11 35 19 -> 15 29 35 19 2 6 19 19 , 15 5 11 35 2 -> 15 29 35 19 2 6 19 2 , 15 5 11 35 7 -> 15 29 35 19 2 6 19 7 , 15 5 11 35 20 -> 15 29 35 19 2 6 19 20 , 15 5 11 35 21 -> 15 29 35 19 2 6 19 21 , 15 5 11 35 22 -> 15 29 35 19 2 6 19 22 , 16 5 11 35 13 -> 16 29 35 19 2 6 19 13 , 16 5 11 35 19 -> 16 29 35 19 2 6 19 19 , 16 5 11 35 2 -> 16 29 35 19 2 6 19 2 , 16 5 11 35 7 -> 16 29 35 19 2 6 19 7 , 16 5 11 35 20 -> 16 29 35 19 2 6 19 20 , 16 5 11 35 21 -> 16 29 35 19 2 6 19 21 , 16 5 11 35 22 -> 16 29 35 19 2 6 19 22 , 17 5 11 35 13 -> 17 29 35 19 2 6 19 13 , 17 5 11 35 19 -> 17 29 35 19 2 6 19 19 , 17 5 11 35 2 -> 17 29 35 19 2 6 19 2 , 17 5 11 35 7 -> 17 29 35 19 2 6 19 7 , 17 5 11 35 20 -> 17 29 35 19 2 6 19 20 , 17 5 11 35 21 -> 17 29 35 19 2 6 19 21 , 17 5 11 35 22 -> 17 29 35 19 2 6 19 22 , 0 1 21 35 13 -> 0 29 35 19 2 4 , 0 1 21 35 19 -> 0 29 35 19 2 6 , 0 1 21 35 2 -> 0 29 35 19 2 3 , 0 1 21 35 7 -> 0 29 35 19 2 9 , 0 1 21 35 20 -> 0 29 35 19 2 10 , 0 1 21 35 21 -> 0 29 35 19 2 11 , 0 1 21 35 22 -> 0 29 35 19 2 12 , 13 1 21 35 13 -> 13 29 35 19 2 4 , 13 1 21 35 19 -> 13 29 35 19 2 6 , 13 1 21 35 2 -> 13 29 35 19 2 3 , 13 1 21 35 7 -> 13 29 35 19 2 9 , 13 1 21 35 20 -> 13 29 35 19 2 10 , 13 1 21 35 21 -> 13 29 35 19 2 11 , 13 1 21 35 22 -> 13 29 35 19 2 12 , 4 1 21 35 13 -> 4 29 35 19 2 4 , 4 1 21 35 19 -> 4 29 35 19 2 6 , 4 1 21 35 2 -> 4 29 35 19 2 3 , 4 1 21 35 7 -> 4 29 35 19 2 9 , 4 1 21 35 20 -> 4 29 35 19 2 10 , 4 1 21 35 21 -> 4 29 35 19 2 11 , 4 1 21 35 22 -> 4 29 35 19 2 12 , 14 1 21 35 13 -> 14 29 35 19 2 4 , 14 1 21 35 19 -> 14 29 35 19 2 6 , 14 1 21 35 2 -> 14 29 35 19 2 3 , 14 1 21 35 7 -> 14 29 35 19 2 9 , 14 1 21 35 20 -> 14 29 35 19 2 10 , 14 1 21 35 21 -> 14 29 35 19 2 11 , 14 1 21 35 22 -> 14 29 35 19 2 12 , 15 1 21 35 13 -> 15 29 35 19 2 4 , 15 1 21 35 19 -> 15 29 35 19 2 6 , 15 1 21 35 2 -> 15 29 35 19 2 3 , 15 1 21 35 7 -> 15 29 35 19 2 9 , 15 1 21 35 20 -> 15 29 35 19 2 10 , 15 1 21 35 21 -> 15 29 35 19 2 11 , 15 1 21 35 22 -> 15 29 35 19 2 12 , 16 1 21 35 13 -> 16 29 35 19 2 4 , 16 1 21 35 19 -> 16 29 35 19 2 6 , 16 1 21 35 2 -> 16 29 35 19 2 3 , 16 1 21 35 7 -> 16 29 35 19 2 9 , 16 1 21 35 20 -> 16 29 35 19 2 10 , 16 1 21 35 21 -> 16 29 35 19 2 11 , 16 1 21 35 22 -> 16 29 35 19 2 12 , 17 1 21 35 13 -> 17 29 35 19 2 4 , 17 1 21 35 19 -> 17 29 35 19 2 6 , 17 1 21 35 2 -> 17 29 35 19 2 3 , 17 1 21 35 7 -> 17 29 35 19 2 9 , 17 1 21 35 20 -> 17 29 35 19 2 10 , 17 1 21 35 21 -> 17 29 35 19 2 11 , 17 1 21 35 22 -> 17 29 35 19 2 12 , 0 1 21 35 13 -> 0 18 32 35 2 6 13 , 0 1 21 35 19 -> 0 18 32 35 2 6 19 , 0 1 21 35 2 -> 0 18 32 35 2 6 2 , 0 1 21 35 7 -> 0 18 32 35 2 6 7 , 0 1 21 35 20 -> 0 18 32 35 2 6 20 , 0 1 21 35 21 -> 0 18 32 35 2 6 21 , 0 1 21 35 22 -> 0 18 32 35 2 6 22 , 13 1 21 35 13 -> 13 18 32 35 2 6 13 , 13 1 21 35 19 -> 13 18 32 35 2 6 19 , 13 1 21 35 2 -> 13 18 32 35 2 6 2 , 13 1 21 35 7 -> 13 18 32 35 2 6 7 , 13 1 21 35 20 -> 13 18 32 35 2 6 20 , 13 1 21 35 21 -> 13 18 32 35 2 6 21 , 13 1 21 35 22 -> 13 18 32 35 2 6 22 , 4 1 21 35 13 -> 4 18 32 35 2 6 13 , 4 1 21 35 19 -> 4 18 32 35 2 6 19 , 4 1 21 35 2 -> 4 18 32 35 2 6 2 , 4 1 21 35 7 -> 4 18 32 35 2 6 7 , 4 1 21 35 20 -> 4 18 32 35 2 6 20 , 4 1 21 35 21 -> 4 18 32 35 2 6 21 , 4 1 21 35 22 -> 4 18 32 35 2 6 22 , 14 1 21 35 13 -> 14 18 32 35 2 6 13 , 14 1 21 35 19 -> 14 18 32 35 2 6 19 , 14 1 21 35 2 -> 14 18 32 35 2 6 2 , 14 1 21 35 7 -> 14 18 32 35 2 6 7 , 14 1 21 35 20 -> 14 18 32 35 2 6 20 , 14 1 21 35 21 -> 14 18 32 35 2 6 21 , 14 1 21 35 22 -> 14 18 32 35 2 6 22 , 15 1 21 35 13 -> 15 18 32 35 2 6 13 , 15 1 21 35 19 -> 15 18 32 35 2 6 19 , 15 1 21 35 2 -> 15 18 32 35 2 6 2 , 15 1 21 35 7 -> 15 18 32 35 2 6 7 , 15 1 21 35 20 -> 15 18 32 35 2 6 20 , 15 1 21 35 21 -> 15 18 32 35 2 6 21 , 15 1 21 35 22 -> 15 18 32 35 2 6 22 , 16 1 21 35 13 -> 16 18 32 35 2 6 13 , 16 1 21 35 19 -> 16 18 32 35 2 6 19 , 16 1 21 35 2 -> 16 18 32 35 2 6 2 , 16 1 21 35 7 -> 16 18 32 35 2 6 7 , 16 1 21 35 20 -> 16 18 32 35 2 6 20 , 16 1 21 35 21 -> 16 18 32 35 2 6 21 , 16 1 21 35 22 -> 16 18 32 35 2 6 22 , 17 1 21 35 13 -> 17 18 32 35 2 6 13 , 17 1 21 35 19 -> 17 18 32 35 2 6 19 , 17 1 21 35 2 -> 17 18 32 35 2 6 2 , 17 1 21 35 7 -> 17 18 32 35 2 6 7 , 17 1 21 35 20 -> 17 18 32 35 2 6 20 , 17 1 21 35 21 -> 17 18 32 35 2 6 21 , 17 1 21 35 22 -> 17 18 32 35 2 6 22 , 0 5 3 11 16 -> 0 5 9 8 11 16 , 0 5 3 11 35 -> 0 5 9 8 11 35 , 0 5 3 11 30 -> 0 5 9 8 11 30 , 0 5 3 11 37 -> 0 5 9 8 11 37 , 0 5 3 11 27 -> 0 5 9 8 11 27 , 0 5 3 11 31 -> 0 5 9 8 11 31 , 0 5 3 11 38 -> 0 5 9 8 11 38 , 13 5 3 11 16 -> 13 5 9 8 11 16 , 13 5 3 11 35 -> 13 5 9 8 11 35 , 13 5 3 11 30 -> 13 5 9 8 11 30 , 13 5 3 11 37 -> 13 5 9 8 11 37 , 13 5 3 11 27 -> 13 5 9 8 11 27 , 13 5 3 11 31 -> 13 5 9 8 11 31 , 13 5 3 11 38 -> 13 5 9 8 11 38 , 4 5 3 11 16 -> 4 5 9 8 11 16 , 4 5 3 11 35 -> 4 5 9 8 11 35 , 4 5 3 11 30 -> 4 5 9 8 11 30 , 4 5 3 11 37 -> 4 5 9 8 11 37 , 4 5 3 11 27 -> 4 5 9 8 11 27 , 4 5 3 11 31 -> 4 5 9 8 11 31 , 4 5 3 11 38 -> 4 5 9 8 11 38 , 14 5 3 11 16 -> 14 5 9 8 11 16 , 14 5 3 11 35 -> 14 5 9 8 11 35 , 14 5 3 11 30 -> 14 5 9 8 11 30 , 14 5 3 11 37 -> 14 5 9 8 11 37 , 14 5 3 11 27 -> 14 5 9 8 11 27 , 14 5 3 11 31 -> 14 5 9 8 11 31 , 14 5 3 11 38 -> 14 5 9 8 11 38 , 15 5 3 11 16 -> 15 5 9 8 11 16 , 15 5 3 11 35 -> 15 5 9 8 11 35 , 15 5 3 11 30 -> 15 5 9 8 11 30 , 15 5 3 11 37 -> 15 5 9 8 11 37 , 15 5 3 11 27 -> 15 5 9 8 11 27 , 15 5 3 11 31 -> 15 5 9 8 11 31 , 15 5 3 11 38 -> 15 5 9 8 11 38 , 16 5 3 11 16 -> 16 5 9 8 11 16 , 16 5 3 11 35 -> 16 5 9 8 11 35 , 16 5 3 11 30 -> 16 5 9 8 11 30 , 16 5 3 11 37 -> 16 5 9 8 11 37 , 16 5 3 11 27 -> 16 5 9 8 11 27 , 16 5 3 11 31 -> 16 5 9 8 11 31 , 16 5 3 11 38 -> 16 5 9 8 11 38 , 17 5 3 11 16 -> 17 5 9 8 11 16 , 17 5 3 11 35 -> 17 5 9 8 11 35 , 17 5 3 11 30 -> 17 5 9 8 11 30 , 17 5 3 11 37 -> 17 5 9 8 11 37 , 17 5 3 11 27 -> 17 5 9 8 11 27 , 17 5 3 11 31 -> 17 5 9 8 11 31 , 17 5 3 11 38 -> 17 5 9 8 11 38 , 0 1 2 11 16 -> 0 18 8 6 21 16 , 0 1 2 11 35 -> 0 18 8 6 21 35 , 0 1 2 11 30 -> 0 18 8 6 21 30 , 0 1 2 11 37 -> 0 18 8 6 21 37 , 0 1 2 11 27 -> 0 18 8 6 21 27 , 0 1 2 11 31 -> 0 18 8 6 21 31 , 0 1 2 11 38 -> 0 18 8 6 21 38 , 13 1 2 11 16 -> 13 18 8 6 21 16 , 13 1 2 11 35 -> 13 18 8 6 21 35 , 13 1 2 11 30 -> 13 18 8 6 21 30 , 13 1 2 11 37 -> 13 18 8 6 21 37 , 13 1 2 11 27 -> 13 18 8 6 21 27 , 13 1 2 11 31 -> 13 18 8 6 21 31 , 13 1 2 11 38 -> 13 18 8 6 21 38 , 4 1 2 11 16 -> 4 18 8 6 21 16 , 4 1 2 11 35 -> 4 18 8 6 21 35 , 4 1 2 11 30 -> 4 18 8 6 21 30 , 4 1 2 11 37 -> 4 18 8 6 21 37 , 4 1 2 11 27 -> 4 18 8 6 21 27 , 4 1 2 11 31 -> 4 18 8 6 21 31 , 4 1 2 11 38 -> 4 18 8 6 21 38 , 14 1 2 11 16 -> 14 18 8 6 21 16 , 14 1 2 11 35 -> 14 18 8 6 21 35 , 14 1 2 11 30 -> 14 18 8 6 21 30 , 14 1 2 11 37 -> 14 18 8 6 21 37 , 14 1 2 11 27 -> 14 18 8 6 21 27 , 14 1 2 11 31 -> 14 18 8 6 21 31 , 14 1 2 11 38 -> 14 18 8 6 21 38 , 15 1 2 11 16 -> 15 18 8 6 21 16 , 15 1 2 11 35 -> 15 18 8 6 21 35 , 15 1 2 11 30 -> 15 18 8 6 21 30 , 15 1 2 11 37 -> 15 18 8 6 21 37 , 15 1 2 11 27 -> 15 18 8 6 21 27 , 15 1 2 11 31 -> 15 18 8 6 21 31 , 15 1 2 11 38 -> 15 18 8 6 21 38 , 16 1 2 11 16 -> 16 18 8 6 21 16 , 16 1 2 11 35 -> 16 18 8 6 21 35 , 16 1 2 11 30 -> 16 18 8 6 21 30 , 16 1 2 11 37 -> 16 18 8 6 21 37 , 16 1 2 11 27 -> 16 18 8 6 21 27 , 16 1 2 11 31 -> 16 18 8 6 21 31 , 16 1 2 11 38 -> 16 18 8 6 21 38 , 17 1 2 11 16 -> 17 18 8 6 21 16 , 17 1 2 11 35 -> 17 18 8 6 21 35 , 17 1 2 11 30 -> 17 18 8 6 21 30 , 17 1 2 11 37 -> 17 18 8 6 21 37 , 17 1 2 11 27 -> 17 18 8 6 21 27 , 17 1 2 11 31 -> 17 18 8 6 21 31 , 17 1 2 11 38 -> 17 18 8 6 21 38 , 0 1 2 11 16 -> 18 14 18 8 6 21 16 , 0 1 2 11 35 -> 18 14 18 8 6 21 35 , 0 1 2 11 30 -> 18 14 18 8 6 21 30 , 0 1 2 11 37 -> 18 14 18 8 6 21 37 , 0 1 2 11 27 -> 18 14 18 8 6 21 27 , 0 1 2 11 31 -> 18 14 18 8 6 21 31 , 0 1 2 11 38 -> 18 14 18 8 6 21 38 , 13 1 2 11 16 -> 7 14 18 8 6 21 16 , 13 1 2 11 35 -> 7 14 18 8 6 21 35 , 13 1 2 11 30 -> 7 14 18 8 6 21 30 , 13 1 2 11 37 -> 7 14 18 8 6 21 37 , 13 1 2 11 27 -> 7 14 18 8 6 21 27 , 13 1 2 11 31 -> 7 14 18 8 6 21 31 , 13 1 2 11 38 -> 7 14 18 8 6 21 38 , 4 1 2 11 16 -> 9 14 18 8 6 21 16 , 4 1 2 11 35 -> 9 14 18 8 6 21 35 , 4 1 2 11 30 -> 9 14 18 8 6 21 30 , 4 1 2 11 37 -> 9 14 18 8 6 21 37 , 4 1 2 11 27 -> 9 14 18 8 6 21 27 , 4 1 2 11 31 -> 9 14 18 8 6 21 31 , 4 1 2 11 38 -> 9 14 18 8 6 21 38 , 14 1 2 11 16 -> 40 14 18 8 6 21 16 , 14 1 2 11 35 -> 40 14 18 8 6 21 35 , 14 1 2 11 30 -> 40 14 18 8 6 21 30 , 14 1 2 11 37 -> 40 14 18 8 6 21 37 , 14 1 2 11 27 -> 40 14 18 8 6 21 27 , 14 1 2 11 31 -> 40 14 18 8 6 21 31 , 14 1 2 11 38 -> 40 14 18 8 6 21 38 , 15 1 2 11 16 -> 41 14 18 8 6 21 16 , 15 1 2 11 35 -> 41 14 18 8 6 21 35 , 15 1 2 11 30 -> 41 14 18 8 6 21 30 , 15 1 2 11 37 -> 41 14 18 8 6 21 37 , 15 1 2 11 27 -> 41 14 18 8 6 21 27 , 15 1 2 11 31 -> 41 14 18 8 6 21 31 , 15 1 2 11 38 -> 41 14 18 8 6 21 38 , 16 1 2 11 16 -> 37 14 18 8 6 21 16 , 16 1 2 11 35 -> 37 14 18 8 6 21 35 , 16 1 2 11 30 -> 37 14 18 8 6 21 30 , 16 1 2 11 37 -> 37 14 18 8 6 21 37 , 16 1 2 11 27 -> 37 14 18 8 6 21 27 , 16 1 2 11 31 -> 37 14 18 8 6 21 31 , 16 1 2 11 38 -> 37 14 18 8 6 21 38 , 17 1 2 11 16 -> 42 14 18 8 6 21 16 , 17 1 2 11 35 -> 42 14 18 8 6 21 35 , 17 1 2 11 30 -> 42 14 18 8 6 21 30 , 17 1 2 11 37 -> 42 14 18 8 6 21 37 , 17 1 2 11 27 -> 42 14 18 8 6 21 27 , 17 1 2 11 31 -> 42 14 18 8 6 21 31 , 17 1 2 11 38 -> 42 14 18 8 6 21 38 , 0 1 2 3 3 4 -> 23 41 40 8 6 2 4 5 4 , 0 1 2 3 3 6 -> 23 41 40 8 6 2 4 5 6 , 0 1 2 3 3 3 -> 23 41 40 8 6 2 4 5 3 , 0 1 2 3 3 9 -> 23 41 40 8 6 2 4 5 9 , 0 1 2 3 3 10 -> 23 41 40 8 6 2 4 5 10 , 0 1 2 3 3 11 -> 23 41 40 8 6 2 4 5 11 , 0 1 2 3 3 12 -> 23 41 40 8 6 2 4 5 12 , 13 1 2 3 3 4 -> 20 41 40 8 6 2 4 5 4 , 13 1 2 3 3 6 -> 20 41 40 8 6 2 4 5 6 , 13 1 2 3 3 3 -> 20 41 40 8 6 2 4 5 3 , 13 1 2 3 3 9 -> 20 41 40 8 6 2 4 5 9 , 13 1 2 3 3 10 -> 20 41 40 8 6 2 4 5 10 , 13 1 2 3 3 11 -> 20 41 40 8 6 2 4 5 11 , 13 1 2 3 3 12 -> 20 41 40 8 6 2 4 5 12 , 4 1 2 3 3 4 -> 10 41 40 8 6 2 4 5 4 , 4 1 2 3 3 6 -> 10 41 40 8 6 2 4 5 6 , 4 1 2 3 3 3 -> 10 41 40 8 6 2 4 5 3 , 4 1 2 3 3 9 -> 10 41 40 8 6 2 4 5 9 , 4 1 2 3 3 10 -> 10 41 40 8 6 2 4 5 10 , 4 1 2 3 3 11 -> 10 41 40 8 6 2 4 5 11 , 4 1 2 3 3 12 -> 10 41 40 8 6 2 4 5 12 , 14 1 2 3 3 4 -> 25 41 40 8 6 2 4 5 4 , 14 1 2 3 3 6 -> 25 41 40 8 6 2 4 5 6 , 14 1 2 3 3 3 -> 25 41 40 8 6 2 4 5 3 , 14 1 2 3 3 9 -> 25 41 40 8 6 2 4 5 9 , 14 1 2 3 3 10 -> 25 41 40 8 6 2 4 5 10 , 14 1 2 3 3 11 -> 25 41 40 8 6 2 4 5 11 , 14 1 2 3 3 12 -> 25 41 40 8 6 2 4 5 12 , 15 1 2 3 3 4 -> 26 41 40 8 6 2 4 5 4 , 15 1 2 3 3 6 -> 26 41 40 8 6 2 4 5 6 , 15 1 2 3 3 3 -> 26 41 40 8 6 2 4 5 3 , 15 1 2 3 3 9 -> 26 41 40 8 6 2 4 5 9 , 15 1 2 3 3 10 -> 26 41 40 8 6 2 4 5 10 , 15 1 2 3 3 11 -> 26 41 40 8 6 2 4 5 11 , 15 1 2 3 3 12 -> 26 41 40 8 6 2 4 5 12 , 16 1 2 3 3 4 -> 27 41 40 8 6 2 4 5 4 , 16 1 2 3 3 6 -> 27 41 40 8 6 2 4 5 6 , 16 1 2 3 3 3 -> 27 41 40 8 6 2 4 5 3 , 16 1 2 3 3 9 -> 27 41 40 8 6 2 4 5 9 , 16 1 2 3 3 10 -> 27 41 40 8 6 2 4 5 10 , 16 1 2 3 3 11 -> 27 41 40 8 6 2 4 5 11 , 16 1 2 3 3 12 -> 27 41 40 8 6 2 4 5 12 , 17 1 2 3 3 4 -> 28 41 40 8 6 2 4 5 4 , 17 1 2 3 3 6 -> 28 41 40 8 6 2 4 5 6 , 17 1 2 3 3 3 -> 28 41 40 8 6 2 4 5 3 , 17 1 2 3 3 9 -> 28 41 40 8 6 2 4 5 9 , 17 1 2 3 3 10 -> 28 41 40 8 6 2 4 5 10 , 17 1 2 3 3 11 -> 28 41 40 8 6 2 4 5 11 , 17 1 2 3 3 12 -> 28 41 40 8 6 2 4 5 12 , 0 29 16 5 3 4 -> 0 29 30 4 18 8 4 , 0 29 16 5 3 6 -> 0 29 30 4 18 8 6 , 0 29 16 5 3 3 -> 0 29 30 4 18 8 3 , 0 29 16 5 3 9 -> 0 29 30 4 18 8 9 , 0 29 16 5 3 10 -> 0 29 30 4 18 8 10 , 0 29 16 5 3 11 -> 0 29 30 4 18 8 11 , 0 29 16 5 3 12 -> 0 29 30 4 18 8 12 , 13 29 16 5 3 4 -> 13 29 30 4 18 8 4 , 13 29 16 5 3 6 -> 13 29 30 4 18 8 6 , 13 29 16 5 3 3 -> 13 29 30 4 18 8 3 , 13 29 16 5 3 9 -> 13 29 30 4 18 8 9 , 13 29 16 5 3 10 -> 13 29 30 4 18 8 10 , 13 29 16 5 3 11 -> 13 29 30 4 18 8 11 , 13 29 16 5 3 12 -> 13 29 30 4 18 8 12 , 4 29 16 5 3 4 -> 4 29 30 4 18 8 4 , 4 29 16 5 3 6 -> 4 29 30 4 18 8 6 , 4 29 16 5 3 3 -> 4 29 30 4 18 8 3 , 4 29 16 5 3 9 -> 4 29 30 4 18 8 9 , 4 29 16 5 3 10 -> 4 29 30 4 18 8 10 , 4 29 16 5 3 11 -> 4 29 30 4 18 8 11 , 4 29 16 5 3 12 -> 4 29 30 4 18 8 12 , 14 29 16 5 3 4 -> 14 29 30 4 18 8 4 , 14 29 16 5 3 6 -> 14 29 30 4 18 8 6 , 14 29 16 5 3 3 -> 14 29 30 4 18 8 3 , 14 29 16 5 3 9 -> 14 29 30 4 18 8 9 , 14 29 16 5 3 10 -> 14 29 30 4 18 8 10 , 14 29 16 5 3 11 -> 14 29 30 4 18 8 11 , 14 29 16 5 3 12 -> 14 29 30 4 18 8 12 , 15 29 16 5 3 4 -> 15 29 30 4 18 8 4 , 15 29 16 5 3 6 -> 15 29 30 4 18 8 6 , 15 29 16 5 3 3 -> 15 29 30 4 18 8 3 , 15 29 16 5 3 9 -> 15 29 30 4 18 8 9 , 15 29 16 5 3 10 -> 15 29 30 4 18 8 10 , 15 29 16 5 3 11 -> 15 29 30 4 18 8 11 , 15 29 16 5 3 12 -> 15 29 30 4 18 8 12 , 16 29 16 5 3 4 -> 16 29 30 4 18 8 4 , 16 29 16 5 3 6 -> 16 29 30 4 18 8 6 , 16 29 16 5 3 3 -> 16 29 30 4 18 8 3 , 16 29 16 5 3 9 -> 16 29 30 4 18 8 9 , 16 29 16 5 3 10 -> 16 29 30 4 18 8 10 , 16 29 16 5 3 11 -> 16 29 30 4 18 8 11 , 16 29 16 5 3 12 -> 16 29 30 4 18 8 12 , 17 29 16 5 3 4 -> 17 29 30 4 18 8 4 , 17 29 16 5 3 6 -> 17 29 30 4 18 8 6 , 17 29 16 5 3 3 -> 17 29 30 4 18 8 3 , 17 29 16 5 3 9 -> 17 29 30 4 18 8 9 , 17 29 16 5 3 10 -> 17 29 30 4 18 8 10 , 17 29 16 5 3 11 -> 17 29 30 4 18 8 11 , 17 29 16 5 3 12 -> 17 29 30 4 18 8 12 , 5 11 16 1 2 4 -> 29 35 2 3 4 0 18 40 14 , 5 11 16 1 2 6 -> 29 35 2 3 4 0 18 40 39 , 5 11 16 1 2 3 -> 29 35 2 3 4 0 18 40 8 , 5 11 16 1 2 9 -> 29 35 2 3 4 0 18 40 40 , 5 11 16 1 2 10 -> 29 35 2 3 4 0 18 40 25 , 5 11 16 1 2 11 -> 29 35 2 3 4 0 18 40 32 , 5 11 16 1 2 12 -> 29 35 2 3 4 0 18 40 44 , 2 11 16 1 2 4 -> 21 35 2 3 4 0 18 40 14 , 2 11 16 1 2 6 -> 21 35 2 3 4 0 18 40 39 , 2 11 16 1 2 3 -> 21 35 2 3 4 0 18 40 8 , 2 11 16 1 2 9 -> 21 35 2 3 4 0 18 40 40 , 2 11 16 1 2 10 -> 21 35 2 3 4 0 18 40 25 , 2 11 16 1 2 11 -> 21 35 2 3 4 0 18 40 32 , 2 11 16 1 2 12 -> 21 35 2 3 4 0 18 40 44 , 3 11 16 1 2 4 -> 11 35 2 3 4 0 18 40 14 , 3 11 16 1 2 6 -> 11 35 2 3 4 0 18 40 39 , 3 11 16 1 2 3 -> 11 35 2 3 4 0 18 40 8 , 3 11 16 1 2 9 -> 11 35 2 3 4 0 18 40 40 , 3 11 16 1 2 10 -> 11 35 2 3 4 0 18 40 25 , 3 11 16 1 2 11 -> 11 35 2 3 4 0 18 40 32 , 3 11 16 1 2 12 -> 11 35 2 3 4 0 18 40 44 , 8 11 16 1 2 4 -> 32 35 2 3 4 0 18 40 14 , 8 11 16 1 2 6 -> 32 35 2 3 4 0 18 40 39 , 8 11 16 1 2 3 -> 32 35 2 3 4 0 18 40 8 , 8 11 16 1 2 9 -> 32 35 2 3 4 0 18 40 40 , 8 11 16 1 2 10 -> 32 35 2 3 4 0 18 40 25 , 8 11 16 1 2 11 -> 32 35 2 3 4 0 18 40 32 , 8 11 16 1 2 12 -> 32 35 2 3 4 0 18 40 44 , 36 11 16 1 2 4 -> 33 35 2 3 4 0 18 40 14 , 36 11 16 1 2 6 -> 33 35 2 3 4 0 18 40 39 , 36 11 16 1 2 3 -> 33 35 2 3 4 0 18 40 8 , 36 11 16 1 2 9 -> 33 35 2 3 4 0 18 40 40 , 36 11 16 1 2 10 -> 33 35 2 3 4 0 18 40 25 , 36 11 16 1 2 11 -> 33 35 2 3 4 0 18 40 32 , 36 11 16 1 2 12 -> 33 35 2 3 4 0 18 40 44 , 30 11 16 1 2 4 -> 31 35 2 3 4 0 18 40 14 , 30 11 16 1 2 6 -> 31 35 2 3 4 0 18 40 39 , 30 11 16 1 2 3 -> 31 35 2 3 4 0 18 40 8 , 30 11 16 1 2 9 -> 31 35 2 3 4 0 18 40 40 , 30 11 16 1 2 10 -> 31 35 2 3 4 0 18 40 25 , 30 11 16 1 2 11 -> 31 35 2 3 4 0 18 40 32 , 30 11 16 1 2 12 -> 31 35 2 3 4 0 18 40 44 , 45 11 16 1 2 4 -> 34 35 2 3 4 0 18 40 14 , 45 11 16 1 2 6 -> 34 35 2 3 4 0 18 40 39 , 45 11 16 1 2 3 -> 34 35 2 3 4 0 18 40 8 , 45 11 16 1 2 9 -> 34 35 2 3 4 0 18 40 40 , 45 11 16 1 2 10 -> 34 35 2 3 4 0 18 40 25 , 45 11 16 1 2 11 -> 34 35 2 3 4 0 18 40 32 , 45 11 16 1 2 12 -> 34 35 2 3 4 0 18 40 44 , 0 29 16 1 2 4 -> 0 18 32 35 13 18 8 4 , 0 29 16 1 2 6 -> 0 18 32 35 13 18 8 6 , 0 29 16 1 2 3 -> 0 18 32 35 13 18 8 3 , 0 29 16 1 2 9 -> 0 18 32 35 13 18 8 9 , 0 29 16 1 2 10 -> 0 18 32 35 13 18 8 10 , 0 29 16 1 2 11 -> 0 18 32 35 13 18 8 11 , 0 29 16 1 2 12 -> 0 18 32 35 13 18 8 12 , 13 29 16 1 2 4 -> 13 18 32 35 13 18 8 4 , 13 29 16 1 2 6 -> 13 18 32 35 13 18 8 6 , 13 29 16 1 2 3 -> 13 18 32 35 13 18 8 3 , 13 29 16 1 2 9 -> 13 18 32 35 13 18 8 9 , 13 29 16 1 2 10 -> 13 18 32 35 13 18 8 10 , 13 29 16 1 2 11 -> 13 18 32 35 13 18 8 11 , 13 29 16 1 2 12 -> 13 18 32 35 13 18 8 12 , 4 29 16 1 2 4 -> 4 18 32 35 13 18 8 4 , 4 29 16 1 2 6 -> 4 18 32 35 13 18 8 6 , 4 29 16 1 2 3 -> 4 18 32 35 13 18 8 3 , 4 29 16 1 2 9 -> 4 18 32 35 13 18 8 9 , 4 29 16 1 2 10 -> 4 18 32 35 13 18 8 10 , 4 29 16 1 2 11 -> 4 18 32 35 13 18 8 11 , 4 29 16 1 2 12 -> 4 18 32 35 13 18 8 12 , 14 29 16 1 2 4 -> 14 18 32 35 13 18 8 4 , 14 29 16 1 2 6 -> 14 18 32 35 13 18 8 6 , 14 29 16 1 2 3 -> 14 18 32 35 13 18 8 3 , 14 29 16 1 2 9 -> 14 18 32 35 13 18 8 9 , 14 29 16 1 2 10 -> 14 18 32 35 13 18 8 10 , 14 29 16 1 2 11 -> 14 18 32 35 13 18 8 11 , 14 29 16 1 2 12 -> 14 18 32 35 13 18 8 12 , 15 29 16 1 2 4 -> 15 18 32 35 13 18 8 4 , 15 29 16 1 2 6 -> 15 18 32 35 13 18 8 6 , 15 29 16 1 2 3 -> 15 18 32 35 13 18 8 3 , 15 29 16 1 2 9 -> 15 18 32 35 13 18 8 9 , 15 29 16 1 2 10 -> 15 18 32 35 13 18 8 10 , 15 29 16 1 2 11 -> 15 18 32 35 13 18 8 11 , 15 29 16 1 2 12 -> 15 18 32 35 13 18 8 12 , 16 29 16 1 2 4 -> 16 18 32 35 13 18 8 4 , 16 29 16 1 2 6 -> 16 18 32 35 13 18 8 6 , 16 29 16 1 2 3 -> 16 18 32 35 13 18 8 3 , 16 29 16 1 2 9 -> 16 18 32 35 13 18 8 9 , 16 29 16 1 2 10 -> 16 18 32 35 13 18 8 10 , 16 29 16 1 2 11 -> 16 18 32 35 13 18 8 11 , 16 29 16 1 2 12 -> 16 18 32 35 13 18 8 12 , 17 29 16 1 2 4 -> 17 18 32 35 13 18 8 4 , 17 29 16 1 2 6 -> 17 18 32 35 13 18 8 6 , 17 29 16 1 2 3 -> 17 18 32 35 13 18 8 3 , 17 29 16 1 2 9 -> 17 18 32 35 13 18 8 9 , 17 29 16 1 2 10 -> 17 18 32 35 13 18 8 10 , 17 29 16 1 2 11 -> 17 18 32 35 13 18 8 11 , 17 29 16 1 2 12 -> 17 18 32 35 13 18 8 12 , 0 0 29 37 8 4 -> 0 0 18 32 27 36 4 , 0 0 29 37 8 6 -> 0 0 18 32 27 36 6 , 0 0 29 37 8 3 -> 0 0 18 32 27 36 3 , 0 0 29 37 8 9 -> 0 0 18 32 27 36 9 , 0 0 29 37 8 10 -> 0 0 18 32 27 36 10 , 0 0 29 37 8 11 -> 0 0 18 32 27 36 11 , 0 0 29 37 8 12 -> 0 0 18 32 27 36 12 , 13 0 29 37 8 4 -> 13 0 18 32 27 36 4 , 13 0 29 37 8 6 -> 13 0 18 32 27 36 6 , 13 0 29 37 8 3 -> 13 0 18 32 27 36 3 , 13 0 29 37 8 9 -> 13 0 18 32 27 36 9 , 13 0 29 37 8 10 -> 13 0 18 32 27 36 10 , 13 0 29 37 8 11 -> 13 0 18 32 27 36 11 , 13 0 29 37 8 12 -> 13 0 18 32 27 36 12 , 4 0 29 37 8 4 -> 4 0 18 32 27 36 4 , 4 0 29 37 8 6 -> 4 0 18 32 27 36 6 , 4 0 29 37 8 3 -> 4 0 18 32 27 36 3 , 4 0 29 37 8 9 -> 4 0 18 32 27 36 9 , 4 0 29 37 8 10 -> 4 0 18 32 27 36 10 , 4 0 29 37 8 11 -> 4 0 18 32 27 36 11 , 4 0 29 37 8 12 -> 4 0 18 32 27 36 12 , 14 0 29 37 8 4 -> 14 0 18 32 27 36 4 , 14 0 29 37 8 6 -> 14 0 18 32 27 36 6 , 14 0 29 37 8 3 -> 14 0 18 32 27 36 3 , 14 0 29 37 8 9 -> 14 0 18 32 27 36 9 , 14 0 29 37 8 10 -> 14 0 18 32 27 36 10 , 14 0 29 37 8 11 -> 14 0 18 32 27 36 11 , 14 0 29 37 8 12 -> 14 0 18 32 27 36 12 , 15 0 29 37 8 4 -> 15 0 18 32 27 36 4 , 15 0 29 37 8 6 -> 15 0 18 32 27 36 6 , 15 0 29 37 8 3 -> 15 0 18 32 27 36 3 , 15 0 29 37 8 9 -> 15 0 18 32 27 36 9 , 15 0 29 37 8 10 -> 15 0 18 32 27 36 10 , 15 0 29 37 8 11 -> 15 0 18 32 27 36 11 , 15 0 29 37 8 12 -> 15 0 18 32 27 36 12 , 16 0 29 37 8 4 -> 16 0 18 32 27 36 4 , 16 0 29 37 8 6 -> 16 0 18 32 27 36 6 , 16 0 29 37 8 3 -> 16 0 18 32 27 36 3 , 16 0 29 37 8 9 -> 16 0 18 32 27 36 9 , 16 0 29 37 8 10 -> 16 0 18 32 27 36 10 , 16 0 29 37 8 11 -> 16 0 18 32 27 36 11 , 16 0 29 37 8 12 -> 16 0 18 32 27 36 12 , 17 0 29 37 8 4 -> 17 0 18 32 27 36 4 , 17 0 29 37 8 6 -> 17 0 18 32 27 36 6 , 17 0 29 37 8 3 -> 17 0 18 32 27 36 3 , 17 0 29 37 8 9 -> 17 0 18 32 27 36 9 , 17 0 29 37 8 10 -> 17 0 18 32 27 36 10 , 17 0 29 37 8 11 -> 17 0 18 32 27 36 11 , 17 0 29 37 8 12 -> 17 0 18 32 27 36 12 , 29 30 4 23 36 4 -> 29 35 13 18 8 10 36 4 , 29 30 4 23 36 6 -> 29 35 13 18 8 10 36 6 , 29 30 4 23 36 3 -> 29 35 13 18 8 10 36 3 , 29 30 4 23 36 9 -> 29 35 13 18 8 10 36 9 , 29 30 4 23 36 10 -> 29 35 13 18 8 10 36 10 , 29 30 4 23 36 11 -> 29 35 13 18 8 10 36 11 , 29 30 4 23 36 12 -> 29 35 13 18 8 10 36 12 , 21 30 4 23 36 4 -> 21 35 13 18 8 10 36 4 , 21 30 4 23 36 6 -> 21 35 13 18 8 10 36 6 , 21 30 4 23 36 3 -> 21 35 13 18 8 10 36 3 , 21 30 4 23 36 9 -> 21 35 13 18 8 10 36 9 , 21 30 4 23 36 10 -> 21 35 13 18 8 10 36 10 , 21 30 4 23 36 11 -> 21 35 13 18 8 10 36 11 , 21 30 4 23 36 12 -> 21 35 13 18 8 10 36 12 , 11 30 4 23 36 4 -> 11 35 13 18 8 10 36 4 , 11 30 4 23 36 6 -> 11 35 13 18 8 10 36 6 , 11 30 4 23 36 3 -> 11 35 13 18 8 10 36 3 , 11 30 4 23 36 9 -> 11 35 13 18 8 10 36 9 , 11 30 4 23 36 10 -> 11 35 13 18 8 10 36 10 , 11 30 4 23 36 11 -> 11 35 13 18 8 10 36 11 , 11 30 4 23 36 12 -> 11 35 13 18 8 10 36 12 , 32 30 4 23 36 4 -> 32 35 13 18 8 10 36 4 , 32 30 4 23 36 6 -> 32 35 13 18 8 10 36 6 , 32 30 4 23 36 3 -> 32 35 13 18 8 10 36 3 , 32 30 4 23 36 9 -> 32 35 13 18 8 10 36 9 , 32 30 4 23 36 10 -> 32 35 13 18 8 10 36 10 , 32 30 4 23 36 11 -> 32 35 13 18 8 10 36 11 , 32 30 4 23 36 12 -> 32 35 13 18 8 10 36 12 , 33 30 4 23 36 4 -> 33 35 13 18 8 10 36 4 , 33 30 4 23 36 6 -> 33 35 13 18 8 10 36 6 , 33 30 4 23 36 3 -> 33 35 13 18 8 10 36 3 , 33 30 4 23 36 9 -> 33 35 13 18 8 10 36 9 , 33 30 4 23 36 10 -> 33 35 13 18 8 10 36 10 , 33 30 4 23 36 11 -> 33 35 13 18 8 10 36 11 , 33 30 4 23 36 12 -> 33 35 13 18 8 10 36 12 , 31 30 4 23 36 4 -> 31 35 13 18 8 10 36 4 , 31 30 4 23 36 6 -> 31 35 13 18 8 10 36 6 , 31 30 4 23 36 3 -> 31 35 13 18 8 10 36 3 , 31 30 4 23 36 9 -> 31 35 13 18 8 10 36 9 , 31 30 4 23 36 10 -> 31 35 13 18 8 10 36 10 , 31 30 4 23 36 11 -> 31 35 13 18 8 10 36 11 , 31 30 4 23 36 12 -> 31 35 13 18 8 10 36 12 , 34 30 4 23 36 4 -> 34 35 13 18 8 10 36 4 , 34 30 4 23 36 6 -> 34 35 13 18 8 10 36 6 , 34 30 4 23 36 3 -> 34 35 13 18 8 10 36 3 , 34 30 4 23 36 9 -> 34 35 13 18 8 10 36 9 , 34 30 4 23 36 10 -> 34 35 13 18 8 10 36 10 , 34 30 4 23 36 11 -> 34 35 13 18 8 10 36 11 , 34 30 4 23 36 12 -> 34 35 13 18 8 10 36 12 , 0 29 16 23 36 4 -> 0 0 18 40 25 33 30 4 , 0 29 16 23 36 6 -> 0 0 18 40 25 33 30 6 , 0 29 16 23 36 3 -> 0 0 18 40 25 33 30 3 , 0 29 16 23 36 9 -> 0 0 18 40 25 33 30 9 , 0 29 16 23 36 10 -> 0 0 18 40 25 33 30 10 , 0 29 16 23 36 11 -> 0 0 18 40 25 33 30 11 , 0 29 16 23 36 12 -> 0 0 18 40 25 33 30 12 , 13 29 16 23 36 4 -> 13 0 18 40 25 33 30 4 , 13 29 16 23 36 6 -> 13 0 18 40 25 33 30 6 , 13 29 16 23 36 3 -> 13 0 18 40 25 33 30 3 , 13 29 16 23 36 9 -> 13 0 18 40 25 33 30 9 , 13 29 16 23 36 10 -> 13 0 18 40 25 33 30 10 , 13 29 16 23 36 11 -> 13 0 18 40 25 33 30 11 , 13 29 16 23 36 12 -> 13 0 18 40 25 33 30 12 , 4 29 16 23 36 4 -> 4 0 18 40 25 33 30 4 , 4 29 16 23 36 6 -> 4 0 18 40 25 33 30 6 , 4 29 16 23 36 3 -> 4 0 18 40 25 33 30 3 , 4 29 16 23 36 9 -> 4 0 18 40 25 33 30 9 , 4 29 16 23 36 10 -> 4 0 18 40 25 33 30 10 , 4 29 16 23 36 11 -> 4 0 18 40 25 33 30 11 , 4 29 16 23 36 12 -> 4 0 18 40 25 33 30 12 , 14 29 16 23 36 4 -> 14 0 18 40 25 33 30 4 , 14 29 16 23 36 6 -> 14 0 18 40 25 33 30 6 , 14 29 16 23 36 3 -> 14 0 18 40 25 33 30 3 , 14 29 16 23 36 9 -> 14 0 18 40 25 33 30 9 , 14 29 16 23 36 10 -> 14 0 18 40 25 33 30 10 , 14 29 16 23 36 11 -> 14 0 18 40 25 33 30 11 , 14 29 16 23 36 12 -> 14 0 18 40 25 33 30 12 , 15 29 16 23 36 4 -> 15 0 18 40 25 33 30 4 , 15 29 16 23 36 6 -> 15 0 18 40 25 33 30 6 , 15 29 16 23 36 3 -> 15 0 18 40 25 33 30 3 , 15 29 16 23 36 9 -> 15 0 18 40 25 33 30 9 , 15 29 16 23 36 10 -> 15 0 18 40 25 33 30 10 , 15 29 16 23 36 11 -> 15 0 18 40 25 33 30 11 , 15 29 16 23 36 12 -> 15 0 18 40 25 33 30 12 , 16 29 16 23 36 4 -> 16 0 18 40 25 33 30 4 , 16 29 16 23 36 6 -> 16 0 18 40 25 33 30 6 , 16 29 16 23 36 3 -> 16 0 18 40 25 33 30 3 , 16 29 16 23 36 9 -> 16 0 18 40 25 33 30 9 , 16 29 16 23 36 10 -> 16 0 18 40 25 33 30 10 , 16 29 16 23 36 11 -> 16 0 18 40 25 33 30 11 , 16 29 16 23 36 12 -> 16 0 18 40 25 33 30 12 , 17 29 16 23 36 4 -> 17 0 18 40 25 33 30 4 , 17 29 16 23 36 6 -> 17 0 18 40 25 33 30 6 , 17 29 16 23 36 3 -> 17 0 18 40 25 33 30 3 , 17 29 16 23 36 9 -> 17 0 18 40 25 33 30 9 , 17 29 16 23 36 10 -> 17 0 18 40 25 33 30 10 , 17 29 16 23 36 11 -> 17 0 18 40 25 33 30 11 , 17 29 16 23 36 12 -> 17 0 18 40 25 33 30 12 , 0 0 5 11 30 4 -> 0 18 8 11 16 5 4 , 0 0 5 11 30 6 -> 0 18 8 11 16 5 6 , 0 0 5 11 30 3 -> 0 18 8 11 16 5 3 , 0 0 5 11 30 9 -> 0 18 8 11 16 5 9 , 0 0 5 11 30 10 -> 0 18 8 11 16 5 10 , 0 0 5 11 30 11 -> 0 18 8 11 16 5 11 , 0 0 5 11 30 12 -> 0 18 8 11 16 5 12 , 13 0 5 11 30 4 -> 13 18 8 11 16 5 4 , 13 0 5 11 30 6 -> 13 18 8 11 16 5 6 , 13 0 5 11 30 3 -> 13 18 8 11 16 5 3 , 13 0 5 11 30 9 -> 13 18 8 11 16 5 9 , 13 0 5 11 30 10 -> 13 18 8 11 16 5 10 , 13 0 5 11 30 11 -> 13 18 8 11 16 5 11 , 13 0 5 11 30 12 -> 13 18 8 11 16 5 12 , 4 0 5 11 30 4 -> 4 18 8 11 16 5 4 , 4 0 5 11 30 6 -> 4 18 8 11 16 5 6 , 4 0 5 11 30 3 -> 4 18 8 11 16 5 3 , 4 0 5 11 30 9 -> 4 18 8 11 16 5 9 , 4 0 5 11 30 10 -> 4 18 8 11 16 5 10 , 4 0 5 11 30 11 -> 4 18 8 11 16 5 11 , 4 0 5 11 30 12 -> 4 18 8 11 16 5 12 , 14 0 5 11 30 4 -> 14 18 8 11 16 5 4 , 14 0 5 11 30 6 -> 14 18 8 11 16 5 6 , 14 0 5 11 30 3 -> 14 18 8 11 16 5 3 , 14 0 5 11 30 9 -> 14 18 8 11 16 5 9 , 14 0 5 11 30 10 -> 14 18 8 11 16 5 10 , 14 0 5 11 30 11 -> 14 18 8 11 16 5 11 , 14 0 5 11 30 12 -> 14 18 8 11 16 5 12 , 15 0 5 11 30 4 -> 15 18 8 11 16 5 4 , 15 0 5 11 30 6 -> 15 18 8 11 16 5 6 , 15 0 5 11 30 3 -> 15 18 8 11 16 5 3 , 15 0 5 11 30 9 -> 15 18 8 11 16 5 9 , 15 0 5 11 30 10 -> 15 18 8 11 16 5 10 , 15 0 5 11 30 11 -> 15 18 8 11 16 5 11 , 15 0 5 11 30 12 -> 15 18 8 11 16 5 12 , 16 0 5 11 30 4 -> 16 18 8 11 16 5 4 , 16 0 5 11 30 6 -> 16 18 8 11 16 5 6 , 16 0 5 11 30 3 -> 16 18 8 11 16 5 3 , 16 0 5 11 30 9 -> 16 18 8 11 16 5 9 , 16 0 5 11 30 10 -> 16 18 8 11 16 5 10 , 16 0 5 11 30 11 -> 16 18 8 11 16 5 11 , 16 0 5 11 30 12 -> 16 18 8 11 16 5 12 , 17 0 5 11 30 4 -> 17 18 8 11 16 5 4 , 17 0 5 11 30 6 -> 17 18 8 11 16 5 6 , 17 0 5 11 30 3 -> 17 18 8 11 16 5 3 , 17 0 5 11 30 9 -> 17 18 8 11 16 5 9 , 17 0 5 11 30 10 -> 17 18 8 11 16 5 10 , 17 0 5 11 30 11 -> 17 18 8 11 16 5 11 , 17 0 5 11 30 12 -> 17 18 8 11 16 5 12 , 1 21 30 11 30 4 -> 29 31 37 8 6 2 4 , 1 21 30 11 30 6 -> 29 31 37 8 6 2 6 , 1 21 30 11 30 3 -> 29 31 37 8 6 2 3 , 1 21 30 11 30 9 -> 29 31 37 8 6 2 9 , 1 21 30 11 30 10 -> 29 31 37 8 6 2 10 , 1 21 30 11 30 11 -> 29 31 37 8 6 2 11 , 1 21 30 11 30 12 -> 29 31 37 8 6 2 12 , 19 21 30 11 30 4 -> 21 31 37 8 6 2 4 , 19 21 30 11 30 6 -> 21 31 37 8 6 2 6 , 19 21 30 11 30 3 -> 21 31 37 8 6 2 3 , 19 21 30 11 30 9 -> 21 31 37 8 6 2 9 , 19 21 30 11 30 10 -> 21 31 37 8 6 2 10 , 19 21 30 11 30 11 -> 21 31 37 8 6 2 11 , 19 21 30 11 30 12 -> 21 31 37 8 6 2 12 , 6 21 30 11 30 4 -> 11 31 37 8 6 2 4 , 6 21 30 11 30 6 -> 11 31 37 8 6 2 6 , 6 21 30 11 30 3 -> 11 31 37 8 6 2 3 , 6 21 30 11 30 9 -> 11 31 37 8 6 2 9 , 6 21 30 11 30 10 -> 11 31 37 8 6 2 10 , 6 21 30 11 30 11 -> 11 31 37 8 6 2 11 , 6 21 30 11 30 12 -> 11 31 37 8 6 2 12 , 39 21 30 11 30 4 -> 32 31 37 8 6 2 4 , 39 21 30 11 30 6 -> 32 31 37 8 6 2 6 , 39 21 30 11 30 3 -> 32 31 37 8 6 2 3 , 39 21 30 11 30 9 -> 32 31 37 8 6 2 9 , 39 21 30 11 30 10 -> 32 31 37 8 6 2 10 , 39 21 30 11 30 11 -> 32 31 37 8 6 2 11 , 39 21 30 11 30 12 -> 32 31 37 8 6 2 12 , 24 21 30 11 30 4 -> 33 31 37 8 6 2 4 , 24 21 30 11 30 6 -> 33 31 37 8 6 2 6 , 24 21 30 11 30 3 -> 33 31 37 8 6 2 3 , 24 21 30 11 30 9 -> 33 31 37 8 6 2 9 , 24 21 30 11 30 10 -> 33 31 37 8 6 2 10 , 24 21 30 11 30 11 -> 33 31 37 8 6 2 11 , 24 21 30 11 30 12 -> 33 31 37 8 6 2 12 , 35 21 30 11 30 4 -> 31 31 37 8 6 2 4 , 35 21 30 11 30 6 -> 31 31 37 8 6 2 6 , 35 21 30 11 30 3 -> 31 31 37 8 6 2 3 , 35 21 30 11 30 9 -> 31 31 37 8 6 2 9 , 35 21 30 11 30 10 -> 31 31 37 8 6 2 10 , 35 21 30 11 30 11 -> 31 31 37 8 6 2 11 , 35 21 30 11 30 12 -> 31 31 37 8 6 2 12 , 43 21 30 11 30 4 -> 34 31 37 8 6 2 4 , 43 21 30 11 30 6 -> 34 31 37 8 6 2 6 , 43 21 30 11 30 3 -> 34 31 37 8 6 2 3 , 43 21 30 11 30 9 -> 34 31 37 8 6 2 9 , 43 21 30 11 30 10 -> 34 31 37 8 6 2 10 , 43 21 30 11 30 11 -> 34 31 37 8 6 2 11 , 43 21 30 11 30 12 -> 34 31 37 8 6 2 12 , 5 9 39 21 30 4 -> 18 32 35 19 2 3 4 , 5 9 39 21 30 6 -> 18 32 35 19 2 3 6 , 5 9 39 21 30 3 -> 18 32 35 19 2 3 3 , 5 9 39 21 30 9 -> 18 32 35 19 2 3 9 , 5 9 39 21 30 10 -> 18 32 35 19 2 3 10 , 5 9 39 21 30 11 -> 18 32 35 19 2 3 11 , 5 9 39 21 30 12 -> 18 32 35 19 2 3 12 , 2 9 39 21 30 4 -> 7 32 35 19 2 3 4 , 2 9 39 21 30 6 -> 7 32 35 19 2 3 6 , 2 9 39 21 30 3 -> 7 32 35 19 2 3 3 , 2 9 39 21 30 9 -> 7 32 35 19 2 3 9 , 2 9 39 21 30 10 -> 7 32 35 19 2 3 10 , 2 9 39 21 30 11 -> 7 32 35 19 2 3 11 , 2 9 39 21 30 12 -> 7 32 35 19 2 3 12 , 3 9 39 21 30 4 -> 9 32 35 19 2 3 4 , 3 9 39 21 30 6 -> 9 32 35 19 2 3 6 , 3 9 39 21 30 3 -> 9 32 35 19 2 3 3 , 3 9 39 21 30 9 -> 9 32 35 19 2 3 9 , 3 9 39 21 30 10 -> 9 32 35 19 2 3 10 , 3 9 39 21 30 11 -> 9 32 35 19 2 3 11 , 3 9 39 21 30 12 -> 9 32 35 19 2 3 12 , 8 9 39 21 30 4 -> 40 32 35 19 2 3 4 , 8 9 39 21 30 6 -> 40 32 35 19 2 3 6 , 8 9 39 21 30 3 -> 40 32 35 19 2 3 3 , 8 9 39 21 30 9 -> 40 32 35 19 2 3 9 , 8 9 39 21 30 10 -> 40 32 35 19 2 3 10 , 8 9 39 21 30 11 -> 40 32 35 19 2 3 11 , 8 9 39 21 30 12 -> 40 32 35 19 2 3 12 , 36 9 39 21 30 4 -> 41 32 35 19 2 3 4 , 36 9 39 21 30 6 -> 41 32 35 19 2 3 6 , 36 9 39 21 30 3 -> 41 32 35 19 2 3 3 , 36 9 39 21 30 9 -> 41 32 35 19 2 3 9 , 36 9 39 21 30 10 -> 41 32 35 19 2 3 10 , 36 9 39 21 30 11 -> 41 32 35 19 2 3 11 , 36 9 39 21 30 12 -> 41 32 35 19 2 3 12 , 30 9 39 21 30 4 -> 37 32 35 19 2 3 4 , 30 9 39 21 30 6 -> 37 32 35 19 2 3 6 , 30 9 39 21 30 3 -> 37 32 35 19 2 3 3 , 30 9 39 21 30 9 -> 37 32 35 19 2 3 9 , 30 9 39 21 30 10 -> 37 32 35 19 2 3 10 , 30 9 39 21 30 11 -> 37 32 35 19 2 3 11 , 30 9 39 21 30 12 -> 37 32 35 19 2 3 12 , 45 9 39 21 30 4 -> 42 32 35 19 2 3 4 , 45 9 39 21 30 6 -> 42 32 35 19 2 3 6 , 45 9 39 21 30 3 -> 42 32 35 19 2 3 3 , 45 9 39 21 30 9 -> 42 32 35 19 2 3 9 , 45 9 39 21 30 10 -> 42 32 35 19 2 3 10 , 45 9 39 21 30 11 -> 42 32 35 19 2 3 11 , 45 9 39 21 30 12 -> 42 32 35 19 2 3 12 , 23 15 0 29 30 4 -> 23 15 0 18 32 30 4 , 23 15 0 29 30 6 -> 23 15 0 18 32 30 6 , 23 15 0 29 30 3 -> 23 15 0 18 32 30 3 , 23 15 0 29 30 9 -> 23 15 0 18 32 30 9 , 23 15 0 29 30 10 -> 23 15 0 18 32 30 10 , 23 15 0 29 30 11 -> 23 15 0 18 32 30 11 , 23 15 0 29 30 12 -> 23 15 0 18 32 30 12 , 20 15 0 29 30 4 -> 20 15 0 18 32 30 4 , 20 15 0 29 30 6 -> 20 15 0 18 32 30 6 , 20 15 0 29 30 3 -> 20 15 0 18 32 30 3 , 20 15 0 29 30 9 -> 20 15 0 18 32 30 9 , 20 15 0 29 30 10 -> 20 15 0 18 32 30 10 , 20 15 0 29 30 11 -> 20 15 0 18 32 30 11 , 20 15 0 29 30 12 -> 20 15 0 18 32 30 12 , 10 15 0 29 30 4 -> 10 15 0 18 32 30 4 , 10 15 0 29 30 6 -> 10 15 0 18 32 30 6 , 10 15 0 29 30 3 -> 10 15 0 18 32 30 3 , 10 15 0 29 30 9 -> 10 15 0 18 32 30 9 , 10 15 0 29 30 10 -> 10 15 0 18 32 30 10 , 10 15 0 29 30 11 -> 10 15 0 18 32 30 11 , 10 15 0 29 30 12 -> 10 15 0 18 32 30 12 , 25 15 0 29 30 4 -> 25 15 0 18 32 30 4 , 25 15 0 29 30 6 -> 25 15 0 18 32 30 6 , 25 15 0 29 30 3 -> 25 15 0 18 32 30 3 , 25 15 0 29 30 9 -> 25 15 0 18 32 30 9 , 25 15 0 29 30 10 -> 25 15 0 18 32 30 10 , 25 15 0 29 30 11 -> 25 15 0 18 32 30 11 , 25 15 0 29 30 12 -> 25 15 0 18 32 30 12 , 26 15 0 29 30 4 -> 26 15 0 18 32 30 4 , 26 15 0 29 30 6 -> 26 15 0 18 32 30 6 , 26 15 0 29 30 3 -> 26 15 0 18 32 30 3 , 26 15 0 29 30 9 -> 26 15 0 18 32 30 9 , 26 15 0 29 30 10 -> 26 15 0 18 32 30 10 , 26 15 0 29 30 11 -> 26 15 0 18 32 30 11 , 26 15 0 29 30 12 -> 26 15 0 18 32 30 12 , 27 15 0 29 30 4 -> 27 15 0 18 32 30 4 , 27 15 0 29 30 6 -> 27 15 0 18 32 30 6 , 27 15 0 29 30 3 -> 27 15 0 18 32 30 3 , 27 15 0 29 30 9 -> 27 15 0 18 32 30 9 , 27 15 0 29 30 10 -> 27 15 0 18 32 30 10 , 27 15 0 29 30 11 -> 27 15 0 18 32 30 11 , 27 15 0 29 30 12 -> 27 15 0 18 32 30 12 , 28 15 0 29 30 4 -> 28 15 0 18 32 30 4 , 28 15 0 29 30 6 -> 28 15 0 18 32 30 6 , 28 15 0 29 30 3 -> 28 15 0 18 32 30 3 , 28 15 0 29 30 9 -> 28 15 0 18 32 30 9 , 28 15 0 29 30 10 -> 28 15 0 18 32 30 10 , 28 15 0 29 30 11 -> 28 15 0 18 32 30 11 , 28 15 0 29 30 12 -> 28 15 0 18 32 30 12 , 1 7 14 29 30 4 -> 0 0 0 18 32 35 2 4 , 1 7 14 29 30 6 -> 0 0 0 18 32 35 2 6 , 1 7 14 29 30 3 -> 0 0 0 18 32 35 2 3 , 1 7 14 29 30 9 -> 0 0 0 18 32 35 2 9 , 1 7 14 29 30 10 -> 0 0 0 18 32 35 2 10 , 1 7 14 29 30 11 -> 0 0 0 18 32 35 2 11 , 1 7 14 29 30 12 -> 0 0 0 18 32 35 2 12 , 19 7 14 29 30 4 -> 13 0 0 18 32 35 2 4 , 19 7 14 29 30 6 -> 13 0 0 18 32 35 2 6 , 19 7 14 29 30 3 -> 13 0 0 18 32 35 2 3 , 19 7 14 29 30 9 -> 13 0 0 18 32 35 2 9 , 19 7 14 29 30 10 -> 13 0 0 18 32 35 2 10 , 19 7 14 29 30 11 -> 13 0 0 18 32 35 2 11 , 19 7 14 29 30 12 -> 13 0 0 18 32 35 2 12 , 6 7 14 29 30 4 -> 4 0 0 18 32 35 2 4 , 6 7 14 29 30 6 -> 4 0 0 18 32 35 2 6 , 6 7 14 29 30 3 -> 4 0 0 18 32 35 2 3 , 6 7 14 29 30 9 -> 4 0 0 18 32 35 2 9 , 6 7 14 29 30 10 -> 4 0 0 18 32 35 2 10 , 6 7 14 29 30 11 -> 4 0 0 18 32 35 2 11 , 6 7 14 29 30 12 -> 4 0 0 18 32 35 2 12 , 39 7 14 29 30 4 -> 14 0 0 18 32 35 2 4 , 39 7 14 29 30 6 -> 14 0 0 18 32 35 2 6 , 39 7 14 29 30 3 -> 14 0 0 18 32 35 2 3 , 39 7 14 29 30 9 -> 14 0 0 18 32 35 2 9 , 39 7 14 29 30 10 -> 14 0 0 18 32 35 2 10 , 39 7 14 29 30 11 -> 14 0 0 18 32 35 2 11 , 39 7 14 29 30 12 -> 14 0 0 18 32 35 2 12 , 24 7 14 29 30 4 -> 15 0 0 18 32 35 2 4 , 24 7 14 29 30 6 -> 15 0 0 18 32 35 2 6 , 24 7 14 29 30 3 -> 15 0 0 18 32 35 2 3 , 24 7 14 29 30 9 -> 15 0 0 18 32 35 2 9 , 24 7 14 29 30 10 -> 15 0 0 18 32 35 2 10 , 24 7 14 29 30 11 -> 15 0 0 18 32 35 2 11 , 24 7 14 29 30 12 -> 15 0 0 18 32 35 2 12 , 35 7 14 29 30 4 -> 16 0 0 18 32 35 2 4 , 35 7 14 29 30 6 -> 16 0 0 18 32 35 2 6 , 35 7 14 29 30 3 -> 16 0 0 18 32 35 2 3 , 35 7 14 29 30 9 -> 16 0 0 18 32 35 2 9 , 35 7 14 29 30 10 -> 16 0 0 18 32 35 2 10 , 35 7 14 29 30 11 -> 16 0 0 18 32 35 2 11 , 35 7 14 29 30 12 -> 16 0 0 18 32 35 2 12 , 43 7 14 29 30 4 -> 17 0 0 18 32 35 2 4 , 43 7 14 29 30 6 -> 17 0 0 18 32 35 2 6 , 43 7 14 29 30 3 -> 17 0 0 18 32 35 2 3 , 43 7 14 29 30 9 -> 17 0 0 18 32 35 2 9 , 43 7 14 29 30 10 -> 17 0 0 18 32 35 2 10 , 43 7 14 29 30 11 -> 17 0 0 18 32 35 2 11 , 43 7 14 29 30 12 -> 17 0 0 18 32 35 2 12 , 1 20 15 29 30 4 -> 1 21 16 18 25 36 4 , 1 20 15 29 30 6 -> 1 21 16 18 25 36 6 , 1 20 15 29 30 3 -> 1 21 16 18 25 36 3 , 1 20 15 29 30 9 -> 1 21 16 18 25 36 9 , 1 20 15 29 30 10 -> 1 21 16 18 25 36 10 , 1 20 15 29 30 11 -> 1 21 16 18 25 36 11 , 1 20 15 29 30 12 -> 1 21 16 18 25 36 12 , 19 20 15 29 30 4 -> 19 21 16 18 25 36 4 , 19 20 15 29 30 6 -> 19 21 16 18 25 36 6 , 19 20 15 29 30 3 -> 19 21 16 18 25 36 3 , 19 20 15 29 30 9 -> 19 21 16 18 25 36 9 , 19 20 15 29 30 10 -> 19 21 16 18 25 36 10 , 19 20 15 29 30 11 -> 19 21 16 18 25 36 11 , 19 20 15 29 30 12 -> 19 21 16 18 25 36 12 , 6 20 15 29 30 4 -> 6 21 16 18 25 36 4 , 6 20 15 29 30 6 -> 6 21 16 18 25 36 6 , 6 20 15 29 30 3 -> 6 21 16 18 25 36 3 , 6 20 15 29 30 9 -> 6 21 16 18 25 36 9 , 6 20 15 29 30 10 -> 6 21 16 18 25 36 10 , 6 20 15 29 30 11 -> 6 21 16 18 25 36 11 , 6 20 15 29 30 12 -> 6 21 16 18 25 36 12 , 39 20 15 29 30 4 -> 39 21 16 18 25 36 4 , 39 20 15 29 30 6 -> 39 21 16 18 25 36 6 , 39 20 15 29 30 3 -> 39 21 16 18 25 36 3 , 39 20 15 29 30 9 -> 39 21 16 18 25 36 9 , 39 20 15 29 30 10 -> 39 21 16 18 25 36 10 , 39 20 15 29 30 11 -> 39 21 16 18 25 36 11 , 39 20 15 29 30 12 -> 39 21 16 18 25 36 12 , 24 20 15 29 30 4 -> 24 21 16 18 25 36 4 , 24 20 15 29 30 6 -> 24 21 16 18 25 36 6 , 24 20 15 29 30 3 -> 24 21 16 18 25 36 3 , 24 20 15 29 30 9 -> 24 21 16 18 25 36 9 , 24 20 15 29 30 10 -> 24 21 16 18 25 36 10 , 24 20 15 29 30 11 -> 24 21 16 18 25 36 11 , 24 20 15 29 30 12 -> 24 21 16 18 25 36 12 , 35 20 15 29 30 4 -> 35 21 16 18 25 36 4 , 35 20 15 29 30 6 -> 35 21 16 18 25 36 6 , 35 20 15 29 30 3 -> 35 21 16 18 25 36 3 , 35 20 15 29 30 9 -> 35 21 16 18 25 36 9 , 35 20 15 29 30 10 -> 35 21 16 18 25 36 10 , 35 20 15 29 30 11 -> 35 21 16 18 25 36 11 , 35 20 15 29 30 12 -> 35 21 16 18 25 36 12 , 43 20 15 29 30 4 -> 43 21 16 18 25 36 4 , 43 20 15 29 30 6 -> 43 21 16 18 25 36 6 , 43 20 15 29 30 3 -> 43 21 16 18 25 36 3 , 43 20 15 29 30 9 -> 43 21 16 18 25 36 9 , 43 20 15 29 30 10 -> 43 21 16 18 25 36 10 , 43 20 15 29 30 11 -> 43 21 16 18 25 36 11 , 43 20 15 29 30 12 -> 43 21 16 18 25 36 12 , 0 29 37 32 30 4 -> 0 29 31 37 8 3 4 , 0 29 37 32 30 6 -> 0 29 31 37 8 3 6 , 0 29 37 32 30 3 -> 0 29 31 37 8 3 3 , 0 29 37 32 30 9 -> 0 29 31 37 8 3 9 , 0 29 37 32 30 10 -> 0 29 31 37 8 3 10 , 0 29 37 32 30 11 -> 0 29 31 37 8 3 11 , 0 29 37 32 30 12 -> 0 29 31 37 8 3 12 , 13 29 37 32 30 4 -> 13 29 31 37 8 3 4 , 13 29 37 32 30 6 -> 13 29 31 37 8 3 6 , 13 29 37 32 30 3 -> 13 29 31 37 8 3 3 , 13 29 37 32 30 9 -> 13 29 31 37 8 3 9 , 13 29 37 32 30 10 -> 13 29 31 37 8 3 10 , 13 29 37 32 30 11 -> 13 29 31 37 8 3 11 , 13 29 37 32 30 12 -> 13 29 31 37 8 3 12 , 4 29 37 32 30 4 -> 4 29 31 37 8 3 4 , 4 29 37 32 30 6 -> 4 29 31 37 8 3 6 , 4 29 37 32 30 3 -> 4 29 31 37 8 3 3 , 4 29 37 32 30 9 -> 4 29 31 37 8 3 9 , 4 29 37 32 30 10 -> 4 29 31 37 8 3 10 , 4 29 37 32 30 11 -> 4 29 31 37 8 3 11 , 4 29 37 32 30 12 -> 4 29 31 37 8 3 12 , 14 29 37 32 30 4 -> 14 29 31 37 8 3 4 , 14 29 37 32 30 6 -> 14 29 31 37 8 3 6 , 14 29 37 32 30 3 -> 14 29 31 37 8 3 3 , 14 29 37 32 30 9 -> 14 29 31 37 8 3 9 , 14 29 37 32 30 10 -> 14 29 31 37 8 3 10 , 14 29 37 32 30 11 -> 14 29 31 37 8 3 11 , 14 29 37 32 30 12 -> 14 29 31 37 8 3 12 , 15 29 37 32 30 4 -> 15 29 31 37 8 3 4 , 15 29 37 32 30 6 -> 15 29 31 37 8 3 6 , 15 29 37 32 30 3 -> 15 29 31 37 8 3 3 , 15 29 37 32 30 9 -> 15 29 31 37 8 3 9 , 15 29 37 32 30 10 -> 15 29 31 37 8 3 10 , 15 29 37 32 30 11 -> 15 29 31 37 8 3 11 , 15 29 37 32 30 12 -> 15 29 31 37 8 3 12 , 16 29 37 32 30 4 -> 16 29 31 37 8 3 4 , 16 29 37 32 30 6 -> 16 29 31 37 8 3 6 , 16 29 37 32 30 3 -> 16 29 31 37 8 3 3 , 16 29 37 32 30 9 -> 16 29 31 37 8 3 9 , 16 29 37 32 30 10 -> 16 29 31 37 8 3 10 , 16 29 37 32 30 11 -> 16 29 31 37 8 3 11 , 16 29 37 32 30 12 -> 16 29 31 37 8 3 12 , 17 29 37 32 30 4 -> 17 29 31 37 8 3 4 , 17 29 37 32 30 6 -> 17 29 31 37 8 3 6 , 17 29 37 32 30 3 -> 17 29 31 37 8 3 3 , 17 29 37 32 30 9 -> 17 29 31 37 8 3 9 , 17 29 37 32 30 10 -> 17 29 31 37 8 3 10 , 17 29 37 32 30 11 -> 17 29 31 37 8 3 11 , 17 29 37 32 30 12 -> 17 29 31 37 8 3 12 , 1 7 32 31 30 4 -> 0 18 40 32 35 2 11 16 , 1 7 32 31 30 6 -> 0 18 40 32 35 2 11 35 , 1 7 32 31 30 3 -> 0 18 40 32 35 2 11 30 , 1 7 32 31 30 9 -> 0 18 40 32 35 2 11 37 , 1 7 32 31 30 10 -> 0 18 40 32 35 2 11 27 , 1 7 32 31 30 11 -> 0 18 40 32 35 2 11 31 , 1 7 32 31 30 12 -> 0 18 40 32 35 2 11 38 , 19 7 32 31 30 4 -> 13 18 40 32 35 2 11 16 , 19 7 32 31 30 6 -> 13 18 40 32 35 2 11 35 , 19 7 32 31 30 3 -> 13 18 40 32 35 2 11 30 , 19 7 32 31 30 9 -> 13 18 40 32 35 2 11 37 , 19 7 32 31 30 10 -> 13 18 40 32 35 2 11 27 , 19 7 32 31 30 11 -> 13 18 40 32 35 2 11 31 , 19 7 32 31 30 12 -> 13 18 40 32 35 2 11 38 , 6 7 32 31 30 4 -> 4 18 40 32 35 2 11 16 , 6 7 32 31 30 6 -> 4 18 40 32 35 2 11 35 , 6 7 32 31 30 3 -> 4 18 40 32 35 2 11 30 , 6 7 32 31 30 9 -> 4 18 40 32 35 2 11 37 , 6 7 32 31 30 10 -> 4 18 40 32 35 2 11 27 , 6 7 32 31 30 11 -> 4 18 40 32 35 2 11 31 , 6 7 32 31 30 12 -> 4 18 40 32 35 2 11 38 , 39 7 32 31 30 4 -> 14 18 40 32 35 2 11 16 , 39 7 32 31 30 6 -> 14 18 40 32 35 2 11 35 , 39 7 32 31 30 3 -> 14 18 40 32 35 2 11 30 , 39 7 32 31 30 9 -> 14 18 40 32 35 2 11 37 , 39 7 32 31 30 10 -> 14 18 40 32 35 2 11 27 , 39 7 32 31 30 11 -> 14 18 40 32 35 2 11 31 , 39 7 32 31 30 12 -> 14 18 40 32 35 2 11 38 , 24 7 32 31 30 4 -> 15 18 40 32 35 2 11 16 , 24 7 32 31 30 6 -> 15 18 40 32 35 2 11 35 , 24 7 32 31 30 3 -> 15 18 40 32 35 2 11 30 , 24 7 32 31 30 9 -> 15 18 40 32 35 2 11 37 , 24 7 32 31 30 10 -> 15 18 40 32 35 2 11 27 , 24 7 32 31 30 11 -> 15 18 40 32 35 2 11 31 , 24 7 32 31 30 12 -> 15 18 40 32 35 2 11 38 , 35 7 32 31 30 4 -> 16 18 40 32 35 2 11 16 , 35 7 32 31 30 6 -> 16 18 40 32 35 2 11 35 , 35 7 32 31 30 3 -> 16 18 40 32 35 2 11 30 , 35 7 32 31 30 9 -> 16 18 40 32 35 2 11 37 , 35 7 32 31 30 10 -> 16 18 40 32 35 2 11 27 , 35 7 32 31 30 11 -> 16 18 40 32 35 2 11 31 , 35 7 32 31 30 12 -> 16 18 40 32 35 2 11 38 , 43 7 32 31 30 4 -> 17 18 40 32 35 2 11 16 , 43 7 32 31 30 6 -> 17 18 40 32 35 2 11 35 , 43 7 32 31 30 3 -> 17 18 40 32 35 2 11 30 , 43 7 32 31 30 9 -> 17 18 40 32 35 2 11 37 , 43 7 32 31 30 10 -> 17 18 40 32 35 2 11 27 , 43 7 32 31 30 11 -> 17 18 40 32 35 2 11 31 , 43 7 32 31 30 12 -> 17 18 40 32 35 2 11 38 , 1 21 31 30 6 13 -> 1 21 35 21 27 36 4 , 1 21 31 30 6 19 -> 1 21 35 21 27 36 6 , 1 21 31 30 6 2 -> 1 21 35 21 27 36 3 , 1 21 31 30 6 7 -> 1 21 35 21 27 36 9 , 1 21 31 30 6 20 -> 1 21 35 21 27 36 10 , 1 21 31 30 6 21 -> 1 21 35 21 27 36 11 , 1 21 31 30 6 22 -> 1 21 35 21 27 36 12 , 19 21 31 30 6 13 -> 19 21 35 21 27 36 4 , 19 21 31 30 6 19 -> 19 21 35 21 27 36 6 , 19 21 31 30 6 2 -> 19 21 35 21 27 36 3 , 19 21 31 30 6 7 -> 19 21 35 21 27 36 9 , 19 21 31 30 6 20 -> 19 21 35 21 27 36 10 , 19 21 31 30 6 21 -> 19 21 35 21 27 36 11 , 19 21 31 30 6 22 -> 19 21 35 21 27 36 12 , 6 21 31 30 6 13 -> 6 21 35 21 27 36 4 , 6 21 31 30 6 19 -> 6 21 35 21 27 36 6 , 6 21 31 30 6 2 -> 6 21 35 21 27 36 3 , 6 21 31 30 6 7 -> 6 21 35 21 27 36 9 , 6 21 31 30 6 20 -> 6 21 35 21 27 36 10 , 6 21 31 30 6 21 -> 6 21 35 21 27 36 11 , 6 21 31 30 6 22 -> 6 21 35 21 27 36 12 , 39 21 31 30 6 13 -> 39 21 35 21 27 36 4 , 39 21 31 30 6 19 -> 39 21 35 21 27 36 6 , 39 21 31 30 6 2 -> 39 21 35 21 27 36 3 , 39 21 31 30 6 7 -> 39 21 35 21 27 36 9 , 39 21 31 30 6 20 -> 39 21 35 21 27 36 10 , 39 21 31 30 6 21 -> 39 21 35 21 27 36 11 , 39 21 31 30 6 22 -> 39 21 35 21 27 36 12 , 24 21 31 30 6 13 -> 24 21 35 21 27 36 4 , 24 21 31 30 6 19 -> 24 21 35 21 27 36 6 , 24 21 31 30 6 2 -> 24 21 35 21 27 36 3 , 24 21 31 30 6 7 -> 24 21 35 21 27 36 9 , 24 21 31 30 6 20 -> 24 21 35 21 27 36 10 , 24 21 31 30 6 21 -> 24 21 35 21 27 36 11 , 24 21 31 30 6 22 -> 24 21 35 21 27 36 12 , 35 21 31 30 6 13 -> 35 21 35 21 27 36 4 , 35 21 31 30 6 19 -> 35 21 35 21 27 36 6 , 35 21 31 30 6 2 -> 35 21 35 21 27 36 3 , 35 21 31 30 6 7 -> 35 21 35 21 27 36 9 , 35 21 31 30 6 20 -> 35 21 35 21 27 36 10 , 35 21 31 30 6 21 -> 35 21 35 21 27 36 11 , 35 21 31 30 6 22 -> 35 21 35 21 27 36 12 , 43 21 31 30 6 13 -> 43 21 35 21 27 36 4 , 43 21 31 30 6 19 -> 43 21 35 21 27 36 6 , 43 21 31 30 6 2 -> 43 21 35 21 27 36 3 , 43 21 31 30 6 7 -> 43 21 35 21 27 36 9 , 43 21 31 30 6 20 -> 43 21 35 21 27 36 10 , 43 21 31 30 6 21 -> 43 21 35 21 27 36 11 , 43 21 31 30 6 22 -> 43 21 35 21 27 36 12 , 5 4 0 1 19 13 -> 5 4 0 18 39 19 13 , 5 4 0 1 19 19 -> 5 4 0 18 39 19 19 , 5 4 0 1 19 2 -> 5 4 0 18 39 19 2 , 5 4 0 1 19 7 -> 5 4 0 18 39 19 7 , 5 4 0 1 19 20 -> 5 4 0 18 39 19 20 , 5 4 0 1 19 21 -> 5 4 0 18 39 19 21 , 5 4 0 1 19 22 -> 5 4 0 18 39 19 22 , 2 4 0 1 19 13 -> 2 4 0 18 39 19 13 , 2 4 0 1 19 19 -> 2 4 0 18 39 19 19 , 2 4 0 1 19 2 -> 2 4 0 18 39 19 2 , 2 4 0 1 19 7 -> 2 4 0 18 39 19 7 , 2 4 0 1 19 20 -> 2 4 0 18 39 19 20 , 2 4 0 1 19 21 -> 2 4 0 18 39 19 21 , 2 4 0 1 19 22 -> 2 4 0 18 39 19 22 , 3 4 0 1 19 13 -> 3 4 0 18 39 19 13 , 3 4 0 1 19 19 -> 3 4 0 18 39 19 19 , 3 4 0 1 19 2 -> 3 4 0 18 39 19 2 , 3 4 0 1 19 7 -> 3 4 0 18 39 19 7 , 3 4 0 1 19 20 -> 3 4 0 18 39 19 20 , 3 4 0 1 19 21 -> 3 4 0 18 39 19 21 , 3 4 0 1 19 22 -> 3 4 0 18 39 19 22 , 8 4 0 1 19 13 -> 8 4 0 18 39 19 13 , 8 4 0 1 19 19 -> 8 4 0 18 39 19 19 , 8 4 0 1 19 2 -> 8 4 0 18 39 19 2 , 8 4 0 1 19 7 -> 8 4 0 18 39 19 7 , 8 4 0 1 19 20 -> 8 4 0 18 39 19 20 , 8 4 0 1 19 21 -> 8 4 0 18 39 19 21 , 8 4 0 1 19 22 -> 8 4 0 18 39 19 22 , 36 4 0 1 19 13 -> 36 4 0 18 39 19 13 , 36 4 0 1 19 19 -> 36 4 0 18 39 19 19 , 36 4 0 1 19 2 -> 36 4 0 18 39 19 2 , 36 4 0 1 19 7 -> 36 4 0 18 39 19 7 , 36 4 0 1 19 20 -> 36 4 0 18 39 19 20 , 36 4 0 1 19 21 -> 36 4 0 18 39 19 21 , 36 4 0 1 19 22 -> 36 4 0 18 39 19 22 , 30 4 0 1 19 13 -> 30 4 0 18 39 19 13 , 30 4 0 1 19 19 -> 30 4 0 18 39 19 19 , 30 4 0 1 19 2 -> 30 4 0 18 39 19 2 , 30 4 0 1 19 7 -> 30 4 0 18 39 19 7 , 30 4 0 1 19 20 -> 30 4 0 18 39 19 20 , 30 4 0 1 19 21 -> 30 4 0 18 39 19 21 , 30 4 0 1 19 22 -> 30 4 0 18 39 19 22 , 45 4 0 1 19 13 -> 45 4 0 18 39 19 13 , 45 4 0 1 19 19 -> 45 4 0 18 39 19 19 , 45 4 0 1 19 2 -> 45 4 0 18 39 19 2 , 45 4 0 1 19 7 -> 45 4 0 18 39 19 7 , 45 4 0 1 19 20 -> 45 4 0 18 39 19 20 , 45 4 0 1 19 21 -> 45 4 0 18 39 19 21 , 45 4 0 1 19 22 -> 45 4 0 18 39 19 22 , 23 41 14 1 19 13 -> 23 15 0 18 39 19 13 , 23 41 14 1 19 19 -> 23 15 0 18 39 19 19 , 23 41 14 1 19 2 -> 23 15 0 18 39 19 2 , 23 41 14 1 19 7 -> 23 15 0 18 39 19 7 , 23 41 14 1 19 20 -> 23 15 0 18 39 19 20 , 23 41 14 1 19 21 -> 23 15 0 18 39 19 21 , 23 41 14 1 19 22 -> 23 15 0 18 39 19 22 , 20 41 14 1 19 13 -> 20 15 0 18 39 19 13 , 20 41 14 1 19 19 -> 20 15 0 18 39 19 19 , 20 41 14 1 19 2 -> 20 15 0 18 39 19 2 , 20 41 14 1 19 7 -> 20 15 0 18 39 19 7 , 20 41 14 1 19 20 -> 20 15 0 18 39 19 20 , 20 41 14 1 19 21 -> 20 15 0 18 39 19 21 , 20 41 14 1 19 22 -> 20 15 0 18 39 19 22 , 10 41 14 1 19 13 -> 10 15 0 18 39 19 13 , 10 41 14 1 19 19 -> 10 15 0 18 39 19 19 , 10 41 14 1 19 2 -> 10 15 0 18 39 19 2 , 10 41 14 1 19 7 -> 10 15 0 18 39 19 7 , 10 41 14 1 19 20 -> 10 15 0 18 39 19 20 , 10 41 14 1 19 21 -> 10 15 0 18 39 19 21 , 10 41 14 1 19 22 -> 10 15 0 18 39 19 22 , 25 41 14 1 19 13 -> 25 15 0 18 39 19 13 , 25 41 14 1 19 19 -> 25 15 0 18 39 19 19 , 25 41 14 1 19 2 -> 25 15 0 18 39 19 2 , 25 41 14 1 19 7 -> 25 15 0 18 39 19 7 , 25 41 14 1 19 20 -> 25 15 0 18 39 19 20 , 25 41 14 1 19 21 -> 25 15 0 18 39 19 21 , 25 41 14 1 19 22 -> 25 15 0 18 39 19 22 , 26 41 14 1 19 13 -> 26 15 0 18 39 19 13 , 26 41 14 1 19 19 -> 26 15 0 18 39 19 19 , 26 41 14 1 19 2 -> 26 15 0 18 39 19 2 , 26 41 14 1 19 7 -> 26 15 0 18 39 19 7 , 26 41 14 1 19 20 -> 26 15 0 18 39 19 20 , 26 41 14 1 19 21 -> 26 15 0 18 39 19 21 , 26 41 14 1 19 22 -> 26 15 0 18 39 19 22 , 27 41 14 1 19 13 -> 27 15 0 18 39 19 13 , 27 41 14 1 19 19 -> 27 15 0 18 39 19 19 , 27 41 14 1 19 2 -> 27 15 0 18 39 19 2 , 27 41 14 1 19 7 -> 27 15 0 18 39 19 7 , 27 41 14 1 19 20 -> 27 15 0 18 39 19 20 , 27 41 14 1 19 21 -> 27 15 0 18 39 19 21 , 27 41 14 1 19 22 -> 27 15 0 18 39 19 22 , 28 41 14 1 19 13 -> 28 15 0 18 39 19 13 , 28 41 14 1 19 19 -> 28 15 0 18 39 19 19 , 28 41 14 1 19 2 -> 28 15 0 18 39 19 2 , 28 41 14 1 19 7 -> 28 15 0 18 39 19 7 , 28 41 14 1 19 20 -> 28 15 0 18 39 19 20 , 28 41 14 1 19 21 -> 28 15 0 18 39 19 21 , 28 41 14 1 19 22 -> 28 15 0 18 39 19 22 , 0 29 37 39 19 13 -> 0 18 40 32 35 19 13 , 0 29 37 39 19 19 -> 0 18 40 32 35 19 19 , 0 29 37 39 19 2 -> 0 18 40 32 35 19 2 , 0 29 37 39 19 7 -> 0 18 40 32 35 19 7 , 0 29 37 39 19 20 -> 0 18 40 32 35 19 20 , 0 29 37 39 19 21 -> 0 18 40 32 35 19 21 , 0 29 37 39 19 22 -> 0 18 40 32 35 19 22 , 13 29 37 39 19 13 -> 13 18 40 32 35 19 13 , 13 29 37 39 19 19 -> 13 18 40 32 35 19 19 , 13 29 37 39 19 2 -> 13 18 40 32 35 19 2 , 13 29 37 39 19 7 -> 13 18 40 32 35 19 7 , 13 29 37 39 19 20 -> 13 18 40 32 35 19 20 , 13 29 37 39 19 21 -> 13 18 40 32 35 19 21 , 13 29 37 39 19 22 -> 13 18 40 32 35 19 22 , 4 29 37 39 19 13 -> 4 18 40 32 35 19 13 , 4 29 37 39 19 19 -> 4 18 40 32 35 19 19 , 4 29 37 39 19 2 -> 4 18 40 32 35 19 2 , 4 29 37 39 19 7 -> 4 18 40 32 35 19 7 , 4 29 37 39 19 20 -> 4 18 40 32 35 19 20 , 4 29 37 39 19 21 -> 4 18 40 32 35 19 21 , 4 29 37 39 19 22 -> 4 18 40 32 35 19 22 , 14 29 37 39 19 13 -> 14 18 40 32 35 19 13 , 14 29 37 39 19 19 -> 14 18 40 32 35 19 19 , 14 29 37 39 19 2 -> 14 18 40 32 35 19 2 , 14 29 37 39 19 7 -> 14 18 40 32 35 19 7 , 14 29 37 39 19 20 -> 14 18 40 32 35 19 20 , 14 29 37 39 19 21 -> 14 18 40 32 35 19 21 , 14 29 37 39 19 22 -> 14 18 40 32 35 19 22 , 15 29 37 39 19 13 -> 15 18 40 32 35 19 13 , 15 29 37 39 19 19 -> 15 18 40 32 35 19 19 , 15 29 37 39 19 2 -> 15 18 40 32 35 19 2 , 15 29 37 39 19 7 -> 15 18 40 32 35 19 7 , 15 29 37 39 19 20 -> 15 18 40 32 35 19 20 , 15 29 37 39 19 21 -> 15 18 40 32 35 19 21 , 15 29 37 39 19 22 -> 15 18 40 32 35 19 22 , 16 29 37 39 19 13 -> 16 18 40 32 35 19 13 , 16 29 37 39 19 19 -> 16 18 40 32 35 19 19 , 16 29 37 39 19 2 -> 16 18 40 32 35 19 2 , 16 29 37 39 19 7 -> 16 18 40 32 35 19 7 , 16 29 37 39 19 20 -> 16 18 40 32 35 19 20 , 16 29 37 39 19 21 -> 16 18 40 32 35 19 21 , 16 29 37 39 19 22 -> 16 18 40 32 35 19 22 , 17 29 37 39 19 13 -> 17 18 40 32 35 19 13 , 17 29 37 39 19 19 -> 17 18 40 32 35 19 19 , 17 29 37 39 19 2 -> 17 18 40 32 35 19 2 , 17 29 37 39 19 7 -> 17 18 40 32 35 19 7 , 17 29 37 39 19 20 -> 17 18 40 32 35 19 20 , 17 29 37 39 19 21 -> 17 18 40 32 35 19 21 , 17 29 37 39 19 22 -> 17 18 40 32 35 19 22 , 5 11 30 11 35 13 -> 5 6 21 37 32 35 2 4 , 5 11 30 11 35 19 -> 5 6 21 37 32 35 2 6 , 5 11 30 11 35 2 -> 5 6 21 37 32 35 2 3 , 5 11 30 11 35 7 -> 5 6 21 37 32 35 2 9 , 5 11 30 11 35 20 -> 5 6 21 37 32 35 2 10 , 5 11 30 11 35 21 -> 5 6 21 37 32 35 2 11 , 5 11 30 11 35 22 -> 5 6 21 37 32 35 2 12 , 2 11 30 11 35 13 -> 2 6 21 37 32 35 2 4 , 2 11 30 11 35 19 -> 2 6 21 37 32 35 2 6 , 2 11 30 11 35 2 -> 2 6 21 37 32 35 2 3 , 2 11 30 11 35 7 -> 2 6 21 37 32 35 2 9 , 2 11 30 11 35 20 -> 2 6 21 37 32 35 2 10 , 2 11 30 11 35 21 -> 2 6 21 37 32 35 2 11 , 2 11 30 11 35 22 -> 2 6 21 37 32 35 2 12 , 3 11 30 11 35 13 -> 3 6 21 37 32 35 2 4 , 3 11 30 11 35 19 -> 3 6 21 37 32 35 2 6 , 3 11 30 11 35 2 -> 3 6 21 37 32 35 2 3 , 3 11 30 11 35 7 -> 3 6 21 37 32 35 2 9 , 3 11 30 11 35 20 -> 3 6 21 37 32 35 2 10 , 3 11 30 11 35 21 -> 3 6 21 37 32 35 2 11 , 3 11 30 11 35 22 -> 3 6 21 37 32 35 2 12 , 8 11 30 11 35 13 -> 8 6 21 37 32 35 2 4 , 8 11 30 11 35 19 -> 8 6 21 37 32 35 2 6 , 8 11 30 11 35 2 -> 8 6 21 37 32 35 2 3 , 8 11 30 11 35 7 -> 8 6 21 37 32 35 2 9 , 8 11 30 11 35 20 -> 8 6 21 37 32 35 2 10 , 8 11 30 11 35 21 -> 8 6 21 37 32 35 2 11 , 8 11 30 11 35 22 -> 8 6 21 37 32 35 2 12 , 36 11 30 11 35 13 -> 36 6 21 37 32 35 2 4 , 36 11 30 11 35 19 -> 36 6 21 37 32 35 2 6 , 36 11 30 11 35 2 -> 36 6 21 37 32 35 2 3 , 36 11 30 11 35 7 -> 36 6 21 37 32 35 2 9 , 36 11 30 11 35 20 -> 36 6 21 37 32 35 2 10 , 36 11 30 11 35 21 -> 36 6 21 37 32 35 2 11 , 36 11 30 11 35 22 -> 36 6 21 37 32 35 2 12 , 30 11 30 11 35 13 -> 30 6 21 37 32 35 2 4 , 30 11 30 11 35 19 -> 30 6 21 37 32 35 2 6 , 30 11 30 11 35 2 -> 30 6 21 37 32 35 2 3 , 30 11 30 11 35 7 -> 30 6 21 37 32 35 2 9 , 30 11 30 11 35 20 -> 30 6 21 37 32 35 2 10 , 30 11 30 11 35 21 -> 30 6 21 37 32 35 2 11 , 30 11 30 11 35 22 -> 30 6 21 37 32 35 2 12 , 45 11 30 11 35 13 -> 45 6 21 37 32 35 2 4 , 45 11 30 11 35 19 -> 45 6 21 37 32 35 2 6 , 45 11 30 11 35 2 -> 45 6 21 37 32 35 2 3 , 45 11 30 11 35 7 -> 45 6 21 37 32 35 2 9 , 45 11 30 11 35 20 -> 45 6 21 37 32 35 2 10 , 45 11 30 11 35 21 -> 45 6 21 37 32 35 2 11 , 45 11 30 11 35 22 -> 45 6 21 37 32 35 2 12 , 0 1 21 31 35 13 -> 0 0 18 32 35 19 21 35 13 , 0 1 21 31 35 19 -> 0 0 18 32 35 19 21 35 19 , 0 1 21 31 35 2 -> 0 0 18 32 35 19 21 35 2 , 0 1 21 31 35 7 -> 0 0 18 32 35 19 21 35 7 , 0 1 21 31 35 20 -> 0 0 18 32 35 19 21 35 20 , 0 1 21 31 35 21 -> 0 0 18 32 35 19 21 35 21 , 0 1 21 31 35 22 -> 0 0 18 32 35 19 21 35 22 , 13 1 21 31 35 13 -> 13 0 18 32 35 19 21 35 13 , 13 1 21 31 35 19 -> 13 0 18 32 35 19 21 35 19 , 13 1 21 31 35 2 -> 13 0 18 32 35 19 21 35 2 , 13 1 21 31 35 7 -> 13 0 18 32 35 19 21 35 7 , 13 1 21 31 35 20 -> 13 0 18 32 35 19 21 35 20 , 13 1 21 31 35 21 -> 13 0 18 32 35 19 21 35 21 , 13 1 21 31 35 22 -> 13 0 18 32 35 19 21 35 22 , 4 1 21 31 35 13 -> 4 0 18 32 35 19 21 35 13 , 4 1 21 31 35 19 -> 4 0 18 32 35 19 21 35 19 , 4 1 21 31 35 2 -> 4 0 18 32 35 19 21 35 2 , 4 1 21 31 35 7 -> 4 0 18 32 35 19 21 35 7 , 4 1 21 31 35 20 -> 4 0 18 32 35 19 21 35 20 , 4 1 21 31 35 21 -> 4 0 18 32 35 19 21 35 21 , 4 1 21 31 35 22 -> 4 0 18 32 35 19 21 35 22 , 14 1 21 31 35 13 -> 14 0 18 32 35 19 21 35 13 , 14 1 21 31 35 19 -> 14 0 18 32 35 19 21 35 19 , 14 1 21 31 35 2 -> 14 0 18 32 35 19 21 35 2 , 14 1 21 31 35 7 -> 14 0 18 32 35 19 21 35 7 , 14 1 21 31 35 20 -> 14 0 18 32 35 19 21 35 20 , 14 1 21 31 35 21 -> 14 0 18 32 35 19 21 35 21 , 14 1 21 31 35 22 -> 14 0 18 32 35 19 21 35 22 , 15 1 21 31 35 13 -> 15 0 18 32 35 19 21 35 13 , 15 1 21 31 35 19 -> 15 0 18 32 35 19 21 35 19 , 15 1 21 31 35 2 -> 15 0 18 32 35 19 21 35 2 , 15 1 21 31 35 7 -> 15 0 18 32 35 19 21 35 7 , 15 1 21 31 35 20 -> 15 0 18 32 35 19 21 35 20 , 15 1 21 31 35 21 -> 15 0 18 32 35 19 21 35 21 , 15 1 21 31 35 22 -> 15 0 18 32 35 19 21 35 22 , 16 1 21 31 35 13 -> 16 0 18 32 35 19 21 35 13 , 16 1 21 31 35 19 -> 16 0 18 32 35 19 21 35 19 , 16 1 21 31 35 2 -> 16 0 18 32 35 19 21 35 2 , 16 1 21 31 35 7 -> 16 0 18 32 35 19 21 35 7 , 16 1 21 31 35 20 -> 16 0 18 32 35 19 21 35 20 , 16 1 21 31 35 21 -> 16 0 18 32 35 19 21 35 21 , 16 1 21 31 35 22 -> 16 0 18 32 35 19 21 35 22 , 17 1 21 31 35 13 -> 17 0 18 32 35 19 21 35 13 , 17 1 21 31 35 19 -> 17 0 18 32 35 19 21 35 19 , 17 1 21 31 35 2 -> 17 0 18 32 35 19 21 35 2 , 17 1 21 31 35 7 -> 17 0 18 32 35 19 21 35 7 , 17 1 21 31 35 20 -> 17 0 18 32 35 19 21 35 20 , 17 1 21 31 35 21 -> 17 0 18 32 35 19 21 35 21 , 17 1 21 31 35 22 -> 17 0 18 32 35 19 21 35 22 , 29 30 4 5 11 16 -> 29 30 4 18 40 8 11 16 , 29 30 4 5 11 35 -> 29 30 4 18 40 8 11 35 , 29 30 4 5 11 30 -> 29 30 4 18 40 8 11 30 , 29 30 4 5 11 37 -> 29 30 4 18 40 8 11 37 , 29 30 4 5 11 27 -> 29 30 4 18 40 8 11 27 , 29 30 4 5 11 31 -> 29 30 4 18 40 8 11 31 , 29 30 4 5 11 38 -> 29 30 4 18 40 8 11 38 , 21 30 4 5 11 16 -> 21 30 4 18 40 8 11 16 , 21 30 4 5 11 35 -> 21 30 4 18 40 8 11 35 , 21 30 4 5 11 30 -> 21 30 4 18 40 8 11 30 , 21 30 4 5 11 37 -> 21 30 4 18 40 8 11 37 , 21 30 4 5 11 27 -> 21 30 4 18 40 8 11 27 , 21 30 4 5 11 31 -> 21 30 4 18 40 8 11 31 , 21 30 4 5 11 38 -> 21 30 4 18 40 8 11 38 , 11 30 4 5 11 16 -> 11 30 4 18 40 8 11 16 , 11 30 4 5 11 35 -> 11 30 4 18 40 8 11 35 , 11 30 4 5 11 30 -> 11 30 4 18 40 8 11 30 , 11 30 4 5 11 37 -> 11 30 4 18 40 8 11 37 , 11 30 4 5 11 27 -> 11 30 4 18 40 8 11 27 , 11 30 4 5 11 31 -> 11 30 4 18 40 8 11 31 , 11 30 4 5 11 38 -> 11 30 4 18 40 8 11 38 , 32 30 4 5 11 16 -> 32 30 4 18 40 8 11 16 , 32 30 4 5 11 35 -> 32 30 4 18 40 8 11 35 , 32 30 4 5 11 30 -> 32 30 4 18 40 8 11 30 , 32 30 4 5 11 37 -> 32 30 4 18 40 8 11 37 , 32 30 4 5 11 27 -> 32 30 4 18 40 8 11 27 , 32 30 4 5 11 31 -> 32 30 4 18 40 8 11 31 , 32 30 4 5 11 38 -> 32 30 4 18 40 8 11 38 , 33 30 4 5 11 16 -> 33 30 4 18 40 8 11 16 , 33 30 4 5 11 35 -> 33 30 4 18 40 8 11 35 , 33 30 4 5 11 30 -> 33 30 4 18 40 8 11 30 , 33 30 4 5 11 37 -> 33 30 4 18 40 8 11 37 , 33 30 4 5 11 27 -> 33 30 4 18 40 8 11 27 , 33 30 4 5 11 31 -> 33 30 4 18 40 8 11 31 , 33 30 4 5 11 38 -> 33 30 4 18 40 8 11 38 , 31 30 4 5 11 16 -> 31 30 4 18 40 8 11 16 , 31 30 4 5 11 35 -> 31 30 4 18 40 8 11 35 , 31 30 4 5 11 30 -> 31 30 4 18 40 8 11 30 , 31 30 4 5 11 37 -> 31 30 4 18 40 8 11 37 , 31 30 4 5 11 27 -> 31 30 4 18 40 8 11 27 , 31 30 4 5 11 31 -> 31 30 4 18 40 8 11 31 , 31 30 4 5 11 38 -> 31 30 4 18 40 8 11 38 , 34 30 4 5 11 16 -> 34 30 4 18 40 8 11 16 , 34 30 4 5 11 35 -> 34 30 4 18 40 8 11 35 , 34 30 4 5 11 30 -> 34 30 4 18 40 8 11 30 , 34 30 4 5 11 37 -> 34 30 4 18 40 8 11 37 , 34 30 4 5 11 27 -> 34 30 4 18 40 8 11 27 , 34 30 4 5 11 31 -> 34 30 4 18 40 8 11 31 , 34 30 4 5 11 38 -> 34 30 4 18 40 8 11 38 , 23 41 14 5 11 16 -> 23 41 14 18 8 11 16 , 23 41 14 5 11 35 -> 23 41 14 18 8 11 35 , 23 41 14 5 11 30 -> 23 41 14 18 8 11 30 , 23 41 14 5 11 37 -> 23 41 14 18 8 11 37 , 23 41 14 5 11 27 -> 23 41 14 18 8 11 27 , 23 41 14 5 11 31 -> 23 41 14 18 8 11 31 , 23 41 14 5 11 38 -> 23 41 14 18 8 11 38 , 20 41 14 5 11 16 -> 20 41 14 18 8 11 16 , 20 41 14 5 11 35 -> 20 41 14 18 8 11 35 , 20 41 14 5 11 30 -> 20 41 14 18 8 11 30 , 20 41 14 5 11 37 -> 20 41 14 18 8 11 37 , 20 41 14 5 11 27 -> 20 41 14 18 8 11 27 , 20 41 14 5 11 31 -> 20 41 14 18 8 11 31 , 20 41 14 5 11 38 -> 20 41 14 18 8 11 38 , 10 41 14 5 11 16 -> 10 41 14 18 8 11 16 , 10 41 14 5 11 35 -> 10 41 14 18 8 11 35 , 10 41 14 5 11 30 -> 10 41 14 18 8 11 30 , 10 41 14 5 11 37 -> 10 41 14 18 8 11 37 , 10 41 14 5 11 27 -> 10 41 14 18 8 11 27 , 10 41 14 5 11 31 -> 10 41 14 18 8 11 31 , 10 41 14 5 11 38 -> 10 41 14 18 8 11 38 , 25 41 14 5 11 16 -> 25 41 14 18 8 11 16 , 25 41 14 5 11 35 -> 25 41 14 18 8 11 35 , 25 41 14 5 11 30 -> 25 41 14 18 8 11 30 , 25 41 14 5 11 37 -> 25 41 14 18 8 11 37 , 25 41 14 5 11 27 -> 25 41 14 18 8 11 27 , 25 41 14 5 11 31 -> 25 41 14 18 8 11 31 , 25 41 14 5 11 38 -> 25 41 14 18 8 11 38 , 26 41 14 5 11 16 -> 26 41 14 18 8 11 16 , 26 41 14 5 11 35 -> 26 41 14 18 8 11 35 , 26 41 14 5 11 30 -> 26 41 14 18 8 11 30 , 26 41 14 5 11 37 -> 26 41 14 18 8 11 37 , 26 41 14 5 11 27 -> 26 41 14 18 8 11 27 , 26 41 14 5 11 31 -> 26 41 14 18 8 11 31 , 26 41 14 5 11 38 -> 26 41 14 18 8 11 38 , 27 41 14 5 11 16 -> 27 41 14 18 8 11 16 , 27 41 14 5 11 35 -> 27 41 14 18 8 11 35 , 27 41 14 5 11 30 -> 27 41 14 18 8 11 30 , 27 41 14 5 11 37 -> 27 41 14 18 8 11 37 , 27 41 14 5 11 27 -> 27 41 14 18 8 11 27 , 27 41 14 5 11 31 -> 27 41 14 18 8 11 31 , 27 41 14 5 11 38 -> 27 41 14 18 8 11 38 , 28 41 14 5 11 16 -> 28 41 14 18 8 11 16 , 28 41 14 5 11 35 -> 28 41 14 18 8 11 35 , 28 41 14 5 11 30 -> 28 41 14 18 8 11 30 , 28 41 14 5 11 37 -> 28 41 14 18 8 11 37 , 28 41 14 5 11 27 -> 28 41 14 18 8 11 27 , 28 41 14 5 11 31 -> 28 41 14 18 8 11 31 , 28 41 14 5 11 38 -> 28 41 14 18 8 11 38 , 0 1 2 11 31 16 -> 1 13 5 9 32 31 16 , 0 1 2 11 31 35 -> 1 13 5 9 32 31 35 , 0 1 2 11 31 30 -> 1 13 5 9 32 31 30 , 0 1 2 11 31 37 -> 1 13 5 9 32 31 37 , 0 1 2 11 31 27 -> 1 13 5 9 32 31 27 , 0 1 2 11 31 31 -> 1 13 5 9 32 31 31 , 0 1 2 11 31 38 -> 1 13 5 9 32 31 38 , 13 1 2 11 31 16 -> 19 13 5 9 32 31 16 , 13 1 2 11 31 35 -> 19 13 5 9 32 31 35 , 13 1 2 11 31 30 -> 19 13 5 9 32 31 30 , 13 1 2 11 31 37 -> 19 13 5 9 32 31 37 , 13 1 2 11 31 27 -> 19 13 5 9 32 31 27 , 13 1 2 11 31 31 -> 19 13 5 9 32 31 31 , 13 1 2 11 31 38 -> 19 13 5 9 32 31 38 , 4 1 2 11 31 16 -> 6 13 5 9 32 31 16 , 4 1 2 11 31 35 -> 6 13 5 9 32 31 35 , 4 1 2 11 31 30 -> 6 13 5 9 32 31 30 , 4 1 2 11 31 37 -> 6 13 5 9 32 31 37 , 4 1 2 11 31 27 -> 6 13 5 9 32 31 27 , 4 1 2 11 31 31 -> 6 13 5 9 32 31 31 , 4 1 2 11 31 38 -> 6 13 5 9 32 31 38 , 14 1 2 11 31 16 -> 39 13 5 9 32 31 16 , 14 1 2 11 31 35 -> 39 13 5 9 32 31 35 , 14 1 2 11 31 30 -> 39 13 5 9 32 31 30 , 14 1 2 11 31 37 -> 39 13 5 9 32 31 37 , 14 1 2 11 31 27 -> 39 13 5 9 32 31 27 , 14 1 2 11 31 31 -> 39 13 5 9 32 31 31 , 14 1 2 11 31 38 -> 39 13 5 9 32 31 38 , 15 1 2 11 31 16 -> 24 13 5 9 32 31 16 , 15 1 2 11 31 35 -> 24 13 5 9 32 31 35 , 15 1 2 11 31 30 -> 24 13 5 9 32 31 30 , 15 1 2 11 31 37 -> 24 13 5 9 32 31 37 , 15 1 2 11 31 27 -> 24 13 5 9 32 31 27 , 15 1 2 11 31 31 -> 24 13 5 9 32 31 31 , 15 1 2 11 31 38 -> 24 13 5 9 32 31 38 , 16 1 2 11 31 16 -> 35 13 5 9 32 31 16 , 16 1 2 11 31 35 -> 35 13 5 9 32 31 35 , 16 1 2 11 31 30 -> 35 13 5 9 32 31 30 , 16 1 2 11 31 37 -> 35 13 5 9 32 31 37 , 16 1 2 11 31 27 -> 35 13 5 9 32 31 27 , 16 1 2 11 31 31 -> 35 13 5 9 32 31 31 , 16 1 2 11 31 38 -> 35 13 5 9 32 31 38 , 17 1 2 11 31 16 -> 43 13 5 9 32 31 16 , 17 1 2 11 31 35 -> 43 13 5 9 32 31 35 , 17 1 2 11 31 30 -> 43 13 5 9 32 31 30 , 17 1 2 11 31 37 -> 43 13 5 9 32 31 37 , 17 1 2 11 31 27 -> 43 13 5 9 32 31 27 , 17 1 2 11 31 31 -> 43 13 5 9 32 31 31 , 17 1 2 11 31 38 -> 43 13 5 9 32 31 38 , 0 1 21 30 3 3 4 -> 23 15 5 11 35 2 3 4 , 0 1 21 30 3 3 6 -> 23 15 5 11 35 2 3 6 , 0 1 21 30 3 3 3 -> 23 15 5 11 35 2 3 3 , 0 1 21 30 3 3 9 -> 23 15 5 11 35 2 3 9 , 0 1 21 30 3 3 10 -> 23 15 5 11 35 2 3 10 , 0 1 21 30 3 3 11 -> 23 15 5 11 35 2 3 11 , 0 1 21 30 3 3 12 -> 23 15 5 11 35 2 3 12 , 13 1 21 30 3 3 4 -> 20 15 5 11 35 2 3 4 , 13 1 21 30 3 3 6 -> 20 15 5 11 35 2 3 6 , 13 1 21 30 3 3 3 -> 20 15 5 11 35 2 3 3 , 13 1 21 30 3 3 9 -> 20 15 5 11 35 2 3 9 , 13 1 21 30 3 3 10 -> 20 15 5 11 35 2 3 10 , 13 1 21 30 3 3 11 -> 20 15 5 11 35 2 3 11 , 13 1 21 30 3 3 12 -> 20 15 5 11 35 2 3 12 , 4 1 21 30 3 3 4 -> 10 15 5 11 35 2 3 4 , 4 1 21 30 3 3 6 -> 10 15 5 11 35 2 3 6 , 4 1 21 30 3 3 3 -> 10 15 5 11 35 2 3 3 , 4 1 21 30 3 3 9 -> 10 15 5 11 35 2 3 9 , 4 1 21 30 3 3 10 -> 10 15 5 11 35 2 3 10 , 4 1 21 30 3 3 11 -> 10 15 5 11 35 2 3 11 , 4 1 21 30 3 3 12 -> 10 15 5 11 35 2 3 12 , 14 1 21 30 3 3 4 -> 25 15 5 11 35 2 3 4 , 14 1 21 30 3 3 6 -> 25 15 5 11 35 2 3 6 , 14 1 21 30 3 3 3 -> 25 15 5 11 35 2 3 3 , 14 1 21 30 3 3 9 -> 25 15 5 11 35 2 3 9 , 14 1 21 30 3 3 10 -> 25 15 5 11 35 2 3 10 , 14 1 21 30 3 3 11 -> 25 15 5 11 35 2 3 11 , 14 1 21 30 3 3 12 -> 25 15 5 11 35 2 3 12 , 15 1 21 30 3 3 4 -> 26 15 5 11 35 2 3 4 , 15 1 21 30 3 3 6 -> 26 15 5 11 35 2 3 6 , 15 1 21 30 3 3 3 -> 26 15 5 11 35 2 3 3 , 15 1 21 30 3 3 9 -> 26 15 5 11 35 2 3 9 , 15 1 21 30 3 3 10 -> 26 15 5 11 35 2 3 10 , 15 1 21 30 3 3 11 -> 26 15 5 11 35 2 3 11 , 15 1 21 30 3 3 12 -> 26 15 5 11 35 2 3 12 , 16 1 21 30 3 3 4 -> 27 15 5 11 35 2 3 4 , 16 1 21 30 3 3 6 -> 27 15 5 11 35 2 3 6 , 16 1 21 30 3 3 3 -> 27 15 5 11 35 2 3 3 , 16 1 21 30 3 3 9 -> 27 15 5 11 35 2 3 9 , 16 1 21 30 3 3 10 -> 27 15 5 11 35 2 3 10 , 16 1 21 30 3 3 11 -> 27 15 5 11 35 2 3 11 , 16 1 21 30 3 3 12 -> 27 15 5 11 35 2 3 12 , 17 1 21 30 3 3 4 -> 28 15 5 11 35 2 3 4 , 17 1 21 30 3 3 6 -> 28 15 5 11 35 2 3 6 , 17 1 21 30 3 3 3 -> 28 15 5 11 35 2 3 3 , 17 1 21 30 3 3 9 -> 28 15 5 11 35 2 3 9 , 17 1 21 30 3 3 10 -> 28 15 5 11 35 2 3 10 , 17 1 21 30 3 3 11 -> 28 15 5 11 35 2 3 11 , 17 1 21 30 3 3 12 -> 28 15 5 11 35 2 3 12 , 1 20 15 1 2 3 4 -> 1 20 36 9 14 5 9 39 13 , 1 20 15 1 2 3 6 -> 1 20 36 9 14 5 9 39 19 , 1 20 15 1 2 3 3 -> 1 20 36 9 14 5 9 39 2 , 1 20 15 1 2 3 9 -> 1 20 36 9 14 5 9 39 7 , 1 20 15 1 2 3 10 -> 1 20 36 9 14 5 9 39 20 , 1 20 15 1 2 3 11 -> 1 20 36 9 14 5 9 39 21 , 1 20 15 1 2 3 12 -> 1 20 36 9 14 5 9 39 22 , 19 20 15 1 2 3 4 -> 19 20 36 9 14 5 9 39 13 , 19 20 15 1 2 3 6 -> 19 20 36 9 14 5 9 39 19 , 19 20 15 1 2 3 3 -> 19 20 36 9 14 5 9 39 2 , 19 20 15 1 2 3 9 -> 19 20 36 9 14 5 9 39 7 , 19 20 15 1 2 3 10 -> 19 20 36 9 14 5 9 39 20 , 19 20 15 1 2 3 11 -> 19 20 36 9 14 5 9 39 21 , 19 20 15 1 2 3 12 -> 19 20 36 9 14 5 9 39 22 , 6 20 15 1 2 3 4 -> 6 20 36 9 14 5 9 39 13 , 6 20 15 1 2 3 6 -> 6 20 36 9 14 5 9 39 19 , 6 20 15 1 2 3 3 -> 6 20 36 9 14 5 9 39 2 , 6 20 15 1 2 3 9 -> 6 20 36 9 14 5 9 39 7 , 6 20 15 1 2 3 10 -> 6 20 36 9 14 5 9 39 20 , 6 20 15 1 2 3 11 -> 6 20 36 9 14 5 9 39 21 , 6 20 15 1 2 3 12 -> 6 20 36 9 14 5 9 39 22 , 39 20 15 1 2 3 4 -> 39 20 36 9 14 5 9 39 13 , 39 20 15 1 2 3 6 -> 39 20 36 9 14 5 9 39 19 , 39 20 15 1 2 3 3 -> 39 20 36 9 14 5 9 39 2 , 39 20 15 1 2 3 9 -> 39 20 36 9 14 5 9 39 7 , 39 20 15 1 2 3 10 -> 39 20 36 9 14 5 9 39 20 , 39 20 15 1 2 3 11 -> 39 20 36 9 14 5 9 39 21 , 39 20 15 1 2 3 12 -> 39 20 36 9 14 5 9 39 22 , 24 20 15 1 2 3 4 -> 24 20 36 9 14 5 9 39 13 , 24 20 15 1 2 3 6 -> 24 20 36 9 14 5 9 39 19 , 24 20 15 1 2 3 3 -> 24 20 36 9 14 5 9 39 2 , 24 20 15 1 2 3 9 -> 24 20 36 9 14 5 9 39 7 , 24 20 15 1 2 3 10 -> 24 20 36 9 14 5 9 39 20 , 24 20 15 1 2 3 11 -> 24 20 36 9 14 5 9 39 21 , 24 20 15 1 2 3 12 -> 24 20 36 9 14 5 9 39 22 , 35 20 15 1 2 3 4 -> 35 20 36 9 14 5 9 39 13 , 35 20 15 1 2 3 6 -> 35 20 36 9 14 5 9 39 19 , 35 20 15 1 2 3 3 -> 35 20 36 9 14 5 9 39 2 , 35 20 15 1 2 3 9 -> 35 20 36 9 14 5 9 39 7 , 35 20 15 1 2 3 10 -> 35 20 36 9 14 5 9 39 20 , 35 20 15 1 2 3 11 -> 35 20 36 9 14 5 9 39 21 , 35 20 15 1 2 3 12 -> 35 20 36 9 14 5 9 39 22 , 43 20 15 1 2 3 4 -> 43 20 36 9 14 5 9 39 13 , 43 20 15 1 2 3 6 -> 43 20 36 9 14 5 9 39 19 , 43 20 15 1 2 3 3 -> 43 20 36 9 14 5 9 39 2 , 43 20 15 1 2 3 9 -> 43 20 36 9 14 5 9 39 7 , 43 20 15 1 2 3 10 -> 43 20 36 9 14 5 9 39 20 , 43 20 15 1 2 3 11 -> 43 20 36 9 14 5 9 39 21 , 43 20 15 1 2 3 12 -> 43 20 36 9 14 5 9 39 22 , 5 4 1 13 5 3 4 -> 5 4 0 0 18 8 6 2 4 , 5 4 1 13 5 3 6 -> 5 4 0 0 18 8 6 2 6 , 5 4 1 13 5 3 3 -> 5 4 0 0 18 8 6 2 3 , 5 4 1 13 5 3 9 -> 5 4 0 0 18 8 6 2 9 , 5 4 1 13 5 3 10 -> 5 4 0 0 18 8 6 2 10 , 5 4 1 13 5 3 11 -> 5 4 0 0 18 8 6 2 11 , 5 4 1 13 5 3 12 -> 5 4 0 0 18 8 6 2 12 , 2 4 1 13 5 3 4 -> 2 4 0 0 18 8 6 2 4 , 2 4 1 13 5 3 6 -> 2 4 0 0 18 8 6 2 6 , 2 4 1 13 5 3 3 -> 2 4 0 0 18 8 6 2 3 , 2 4 1 13 5 3 9 -> 2 4 0 0 18 8 6 2 9 , 2 4 1 13 5 3 10 -> 2 4 0 0 18 8 6 2 10 , 2 4 1 13 5 3 11 -> 2 4 0 0 18 8 6 2 11 , 2 4 1 13 5 3 12 -> 2 4 0 0 18 8 6 2 12 , 3 4 1 13 5 3 4 -> 3 4 0 0 18 8 6 2 4 , 3 4 1 13 5 3 6 -> 3 4 0 0 18 8 6 2 6 , 3 4 1 13 5 3 3 -> 3 4 0 0 18 8 6 2 3 , 3 4 1 13 5 3 9 -> 3 4 0 0 18 8 6 2 9 , 3 4 1 13 5 3 10 -> 3 4 0 0 18 8 6 2 10 , 3 4 1 13 5 3 11 -> 3 4 0 0 18 8 6 2 11 , 3 4 1 13 5 3 12 -> 3 4 0 0 18 8 6 2 12 , 8 4 1 13 5 3 4 -> 8 4 0 0 18 8 6 2 4 , 8 4 1 13 5 3 6 -> 8 4 0 0 18 8 6 2 6 , 8 4 1 13 5 3 3 -> 8 4 0 0 18 8 6 2 3 , 8 4 1 13 5 3 9 -> 8 4 0 0 18 8 6 2 9 , 8 4 1 13 5 3 10 -> 8 4 0 0 18 8 6 2 10 , 8 4 1 13 5 3 11 -> 8 4 0 0 18 8 6 2 11 , 8 4 1 13 5 3 12 -> 8 4 0 0 18 8 6 2 12 , 36 4 1 13 5 3 4 -> 36 4 0 0 18 8 6 2 4 , 36 4 1 13 5 3 6 -> 36 4 0 0 18 8 6 2 6 , 36 4 1 13 5 3 3 -> 36 4 0 0 18 8 6 2 3 , 36 4 1 13 5 3 9 -> 36 4 0 0 18 8 6 2 9 , 36 4 1 13 5 3 10 -> 36 4 0 0 18 8 6 2 10 , 36 4 1 13 5 3 11 -> 36 4 0 0 18 8 6 2 11 , 36 4 1 13 5 3 12 -> 36 4 0 0 18 8 6 2 12 , 30 4 1 13 5 3 4 -> 30 4 0 0 18 8 6 2 4 , 30 4 1 13 5 3 6 -> 30 4 0 0 18 8 6 2 6 , 30 4 1 13 5 3 3 -> 30 4 0 0 18 8 6 2 3 , 30 4 1 13 5 3 9 -> 30 4 0 0 18 8 6 2 9 , 30 4 1 13 5 3 10 -> 30 4 0 0 18 8 6 2 10 , 30 4 1 13 5 3 11 -> 30 4 0 0 18 8 6 2 11 , 30 4 1 13 5 3 12 -> 30 4 0 0 18 8 6 2 12 , 45 4 1 13 5 3 4 -> 45 4 0 0 18 8 6 2 4 , 45 4 1 13 5 3 6 -> 45 4 0 0 18 8 6 2 6 , 45 4 1 13 5 3 3 -> 45 4 0 0 18 8 6 2 3 , 45 4 1 13 5 3 9 -> 45 4 0 0 18 8 6 2 9 , 45 4 1 13 5 3 10 -> 45 4 0 0 18 8 6 2 10 , 45 4 1 13 5 3 11 -> 45 4 0 0 18 8 6 2 11 , 45 4 1 13 5 3 12 -> 45 4 0 0 18 8 6 2 12 , 29 30 9 14 5 3 4 -> 29 16 18 8 9 8 3 4 , 29 30 9 14 5 3 6 -> 29 16 18 8 9 8 3 6 , 29 30 9 14 5 3 3 -> 29 16 18 8 9 8 3 3 , 29 30 9 14 5 3 9 -> 29 16 18 8 9 8 3 9 , 29 30 9 14 5 3 10 -> 29 16 18 8 9 8 3 10 , 29 30 9 14 5 3 11 -> 29 16 18 8 9 8 3 11 , 29 30 9 14 5 3 12 -> 29 16 18 8 9 8 3 12 , 21 30 9 14 5 3 4 -> 21 16 18 8 9 8 3 4 , 21 30 9 14 5 3 6 -> 21 16 18 8 9 8 3 6 , 21 30 9 14 5 3 3 -> 21 16 18 8 9 8 3 3 , 21 30 9 14 5 3 9 -> 21 16 18 8 9 8 3 9 , 21 30 9 14 5 3 10 -> 21 16 18 8 9 8 3 10 , 21 30 9 14 5 3 11 -> 21 16 18 8 9 8 3 11 , 21 30 9 14 5 3 12 -> 21 16 18 8 9 8 3 12 , 11 30 9 14 5 3 4 -> 11 16 18 8 9 8 3 4 , 11 30 9 14 5 3 6 -> 11 16 18 8 9 8 3 6 , 11 30 9 14 5 3 3 -> 11 16 18 8 9 8 3 3 , 11 30 9 14 5 3 9 -> 11 16 18 8 9 8 3 9 , 11 30 9 14 5 3 10 -> 11 16 18 8 9 8 3 10 , 11 30 9 14 5 3 11 -> 11 16 18 8 9 8 3 11 , 11 30 9 14 5 3 12 -> 11 16 18 8 9 8 3 12 , 32 30 9 14 5 3 4 -> 32 16 18 8 9 8 3 4 , 32 30 9 14 5 3 6 -> 32 16 18 8 9 8 3 6 , 32 30 9 14 5 3 3 -> 32 16 18 8 9 8 3 3 , 32 30 9 14 5 3 9 -> 32 16 18 8 9 8 3 9 , 32 30 9 14 5 3 10 -> 32 16 18 8 9 8 3 10 , 32 30 9 14 5 3 11 -> 32 16 18 8 9 8 3 11 , 32 30 9 14 5 3 12 -> 32 16 18 8 9 8 3 12 , 33 30 9 14 5 3 4 -> 33 16 18 8 9 8 3 4 , 33 30 9 14 5 3 6 -> 33 16 18 8 9 8 3 6 , 33 30 9 14 5 3 3 -> 33 16 18 8 9 8 3 3 , 33 30 9 14 5 3 9 -> 33 16 18 8 9 8 3 9 , 33 30 9 14 5 3 10 -> 33 16 18 8 9 8 3 10 , 33 30 9 14 5 3 11 -> 33 16 18 8 9 8 3 11 , 33 30 9 14 5 3 12 -> 33 16 18 8 9 8 3 12 , 31 30 9 14 5 3 4 -> 31 16 18 8 9 8 3 4 , 31 30 9 14 5 3 6 -> 31 16 18 8 9 8 3 6 , 31 30 9 14 5 3 3 -> 31 16 18 8 9 8 3 3 , 31 30 9 14 5 3 9 -> 31 16 18 8 9 8 3 9 , 31 30 9 14 5 3 10 -> 31 16 18 8 9 8 3 10 , 31 30 9 14 5 3 11 -> 31 16 18 8 9 8 3 11 , 31 30 9 14 5 3 12 -> 31 16 18 8 9 8 3 12 , 34 30 9 14 5 3 4 -> 34 16 18 8 9 8 3 4 , 34 30 9 14 5 3 6 -> 34 16 18 8 9 8 3 6 , 34 30 9 14 5 3 3 -> 34 16 18 8 9 8 3 3 , 34 30 9 14 5 3 9 -> 34 16 18 8 9 8 3 9 , 34 30 9 14 5 3 10 -> 34 16 18 8 9 8 3 10 , 34 30 9 14 5 3 11 -> 34 16 18 8 9 8 3 11 , 34 30 9 14 5 3 12 -> 34 16 18 8 9 8 3 12 , 23 41 14 29 30 3 4 -> 29 16 1 7 8 10 36 4 , 23 41 14 29 30 3 6 -> 29 16 1 7 8 10 36 6 , 23 41 14 29 30 3 3 -> 29 16 1 7 8 10 36 3 , 23 41 14 29 30 3 9 -> 29 16 1 7 8 10 36 9 , 23 41 14 29 30 3 10 -> 29 16 1 7 8 10 36 10 , 23 41 14 29 30 3 11 -> 29 16 1 7 8 10 36 11 , 23 41 14 29 30 3 12 -> 29 16 1 7 8 10 36 12 , 20 41 14 29 30 3 4 -> 21 16 1 7 8 10 36 4 , 20 41 14 29 30 3 6 -> 21 16 1 7 8 10 36 6 , 20 41 14 29 30 3 3 -> 21 16 1 7 8 10 36 3 , 20 41 14 29 30 3 9 -> 21 16 1 7 8 10 36 9 , 20 41 14 29 30 3 10 -> 21 16 1 7 8 10 36 10 , 20 41 14 29 30 3 11 -> 21 16 1 7 8 10 36 11 , 20 41 14 29 30 3 12 -> 21 16 1 7 8 10 36 12 , 10 41 14 29 30 3 4 -> 11 16 1 7 8 10 36 4 , 10 41 14 29 30 3 6 -> 11 16 1 7 8 10 36 6 , 10 41 14 29 30 3 3 -> 11 16 1 7 8 10 36 3 , 10 41 14 29 30 3 9 -> 11 16 1 7 8 10 36 9 , 10 41 14 29 30 3 10 -> 11 16 1 7 8 10 36 10 , 10 41 14 29 30 3 11 -> 11 16 1 7 8 10 36 11 , 10 41 14 29 30 3 12 -> 11 16 1 7 8 10 36 12 , 25 41 14 29 30 3 4 -> 32 16 1 7 8 10 36 4 , 25 41 14 29 30 3 6 -> 32 16 1 7 8 10 36 6 , 25 41 14 29 30 3 3 -> 32 16 1 7 8 10 36 3 , 25 41 14 29 30 3 9 -> 32 16 1 7 8 10 36 9 , 25 41 14 29 30 3 10 -> 32 16 1 7 8 10 36 10 , 25 41 14 29 30 3 11 -> 32 16 1 7 8 10 36 11 , 25 41 14 29 30 3 12 -> 32 16 1 7 8 10 36 12 , 26 41 14 29 30 3 4 -> 33 16 1 7 8 10 36 4 , 26 41 14 29 30 3 6 -> 33 16 1 7 8 10 36 6 , 26 41 14 29 30 3 3 -> 33 16 1 7 8 10 36 3 , 26 41 14 29 30 3 9 -> 33 16 1 7 8 10 36 9 , 26 41 14 29 30 3 10 -> 33 16 1 7 8 10 36 10 , 26 41 14 29 30 3 11 -> 33 16 1 7 8 10 36 11 , 26 41 14 29 30 3 12 -> 33 16 1 7 8 10 36 12 , 27 41 14 29 30 3 4 -> 31 16 1 7 8 10 36 4 , 27 41 14 29 30 3 6 -> 31 16 1 7 8 10 36 6 , 27 41 14 29 30 3 3 -> 31 16 1 7 8 10 36 3 , 27 41 14 29 30 3 9 -> 31 16 1 7 8 10 36 9 , 27 41 14 29 30 3 10 -> 31 16 1 7 8 10 36 10 , 27 41 14 29 30 3 11 -> 31 16 1 7 8 10 36 11 , 27 41 14 29 30 3 12 -> 31 16 1 7 8 10 36 12 , 28 41 14 29 30 3 4 -> 34 16 1 7 8 10 36 4 , 28 41 14 29 30 3 6 -> 34 16 1 7 8 10 36 6 , 28 41 14 29 30 3 3 -> 34 16 1 7 8 10 36 3 , 28 41 14 29 30 3 9 -> 34 16 1 7 8 10 36 9 , 28 41 14 29 30 3 10 -> 34 16 1 7 8 10 36 10 , 28 41 14 29 30 3 11 -> 34 16 1 7 8 10 36 11 , 28 41 14 29 30 3 12 -> 34 16 1 7 8 10 36 12 , 23 41 32 31 30 3 4 -> 29 31 37 8 3 6 20 24 13 , 23 41 32 31 30 3 6 -> 29 31 37 8 3 6 20 24 19 , 23 41 32 31 30 3 3 -> 29 31 37 8 3 6 20 24 2 , 23 41 32 31 30 3 9 -> 29 31 37 8 3 6 20 24 7 , 23 41 32 31 30 3 10 -> 29 31 37 8 3 6 20 24 20 , 23 41 32 31 30 3 11 -> 29 31 37 8 3 6 20 24 21 , 23 41 32 31 30 3 12 -> 29 31 37 8 3 6 20 24 22 , 20 41 32 31 30 3 4 -> 21 31 37 8 3 6 20 24 13 , 20 41 32 31 30 3 6 -> 21 31 37 8 3 6 20 24 19 , 20 41 32 31 30 3 3 -> 21 31 37 8 3 6 20 24 2 , 20 41 32 31 30 3 9 -> 21 31 37 8 3 6 20 24 7 , 20 41 32 31 30 3 10 -> 21 31 37 8 3 6 20 24 20 , 20 41 32 31 30 3 11 -> 21 31 37 8 3 6 20 24 21 , 20 41 32 31 30 3 12 -> 21 31 37 8 3 6 20 24 22 , 10 41 32 31 30 3 4 -> 11 31 37 8 3 6 20 24 13 , 10 41 32 31 30 3 6 -> 11 31 37 8 3 6 20 24 19 , 10 41 32 31 30 3 3 -> 11 31 37 8 3 6 20 24 2 , 10 41 32 31 30 3 9 -> 11 31 37 8 3 6 20 24 7 , 10 41 32 31 30 3 10 -> 11 31 37 8 3 6 20 24 20 , 10 41 32 31 30 3 11 -> 11 31 37 8 3 6 20 24 21 , 10 41 32 31 30 3 12 -> 11 31 37 8 3 6 20 24 22 , 25 41 32 31 30 3 4 -> 32 31 37 8 3 6 20 24 13 , 25 41 32 31 30 3 6 -> 32 31 37 8 3 6 20 24 19 , 25 41 32 31 30 3 3 -> 32 31 37 8 3 6 20 24 2 , 25 41 32 31 30 3 9 -> 32 31 37 8 3 6 20 24 7 , 25 41 32 31 30 3 10 -> 32 31 37 8 3 6 20 24 20 , 25 41 32 31 30 3 11 -> 32 31 37 8 3 6 20 24 21 , 25 41 32 31 30 3 12 -> 32 31 37 8 3 6 20 24 22 , 26 41 32 31 30 3 4 -> 33 31 37 8 3 6 20 24 13 , 26 41 32 31 30 3 6 -> 33 31 37 8 3 6 20 24 19 , 26 41 32 31 30 3 3 -> 33 31 37 8 3 6 20 24 2 , 26 41 32 31 30 3 9 -> 33 31 37 8 3 6 20 24 7 , 26 41 32 31 30 3 10 -> 33 31 37 8 3 6 20 24 20 , 26 41 32 31 30 3 11 -> 33 31 37 8 3 6 20 24 21 , 26 41 32 31 30 3 12 -> 33 31 37 8 3 6 20 24 22 , 27 41 32 31 30 3 4 -> 31 31 37 8 3 6 20 24 13 , 27 41 32 31 30 3 6 -> 31 31 37 8 3 6 20 24 19 , 27 41 32 31 30 3 3 -> 31 31 37 8 3 6 20 24 2 , 27 41 32 31 30 3 9 -> 31 31 37 8 3 6 20 24 7 , 27 41 32 31 30 3 10 -> 31 31 37 8 3 6 20 24 20 , 27 41 32 31 30 3 11 -> 31 31 37 8 3 6 20 24 21 , 27 41 32 31 30 3 12 -> 31 31 37 8 3 6 20 24 22 , 28 41 32 31 30 3 4 -> 34 31 37 8 3 6 20 24 13 , 28 41 32 31 30 3 6 -> 34 31 37 8 3 6 20 24 19 , 28 41 32 31 30 3 3 -> 34 31 37 8 3 6 20 24 2 , 28 41 32 31 30 3 9 -> 34 31 37 8 3 6 20 24 7 , 28 41 32 31 30 3 10 -> 34 31 37 8 3 6 20 24 20 , 28 41 32 31 30 3 11 -> 34 31 37 8 3 6 20 24 21 , 28 41 32 31 30 3 12 -> 34 31 37 8 3 6 20 24 22 , 0 1 2 4 1 2 4 -> 5 6 19 13 0 18 8 6 13 , 0 1 2 4 1 2 6 -> 5 6 19 13 0 18 8 6 19 , 0 1 2 4 1 2 3 -> 5 6 19 13 0 18 8 6 2 , 0 1 2 4 1 2 9 -> 5 6 19 13 0 18 8 6 7 , 0 1 2 4 1 2 10 -> 5 6 19 13 0 18 8 6 20 , 0 1 2 4 1 2 11 -> 5 6 19 13 0 18 8 6 21 , 0 1 2 4 1 2 12 -> 5 6 19 13 0 18 8 6 22 , 13 1 2 4 1 2 4 -> 2 6 19 13 0 18 8 6 13 , 13 1 2 4 1 2 6 -> 2 6 19 13 0 18 8 6 19 , 13 1 2 4 1 2 3 -> 2 6 19 13 0 18 8 6 2 , 13 1 2 4 1 2 9 -> 2 6 19 13 0 18 8 6 7 , 13 1 2 4 1 2 10 -> 2 6 19 13 0 18 8 6 20 , 13 1 2 4 1 2 11 -> 2 6 19 13 0 18 8 6 21 , 13 1 2 4 1 2 12 -> 2 6 19 13 0 18 8 6 22 , 4 1 2 4 1 2 4 -> 3 6 19 13 0 18 8 6 13 , 4 1 2 4 1 2 6 -> 3 6 19 13 0 18 8 6 19 , 4 1 2 4 1 2 3 -> 3 6 19 13 0 18 8 6 2 , 4 1 2 4 1 2 9 -> 3 6 19 13 0 18 8 6 7 , 4 1 2 4 1 2 10 -> 3 6 19 13 0 18 8 6 20 , 4 1 2 4 1 2 11 -> 3 6 19 13 0 18 8 6 21 , 4 1 2 4 1 2 12 -> 3 6 19 13 0 18 8 6 22 , 14 1 2 4 1 2 4 -> 8 6 19 13 0 18 8 6 13 , 14 1 2 4 1 2 6 -> 8 6 19 13 0 18 8 6 19 , 14 1 2 4 1 2 3 -> 8 6 19 13 0 18 8 6 2 , 14 1 2 4 1 2 9 -> 8 6 19 13 0 18 8 6 7 , 14 1 2 4 1 2 10 -> 8 6 19 13 0 18 8 6 20 , 14 1 2 4 1 2 11 -> 8 6 19 13 0 18 8 6 21 , 14 1 2 4 1 2 12 -> 8 6 19 13 0 18 8 6 22 , 15 1 2 4 1 2 4 -> 36 6 19 13 0 18 8 6 13 , 15 1 2 4 1 2 6 -> 36 6 19 13 0 18 8 6 19 , 15 1 2 4 1 2 3 -> 36 6 19 13 0 18 8 6 2 , 15 1 2 4 1 2 9 -> 36 6 19 13 0 18 8 6 7 , 15 1 2 4 1 2 10 -> 36 6 19 13 0 18 8 6 20 , 15 1 2 4 1 2 11 -> 36 6 19 13 0 18 8 6 21 , 15 1 2 4 1 2 12 -> 36 6 19 13 0 18 8 6 22 , 16 1 2 4 1 2 4 -> 30 6 19 13 0 18 8 6 13 , 16 1 2 4 1 2 6 -> 30 6 19 13 0 18 8 6 19 , 16 1 2 4 1 2 3 -> 30 6 19 13 0 18 8 6 2 , 16 1 2 4 1 2 9 -> 30 6 19 13 0 18 8 6 7 , 16 1 2 4 1 2 10 -> 30 6 19 13 0 18 8 6 20 , 16 1 2 4 1 2 11 -> 30 6 19 13 0 18 8 6 21 , 16 1 2 4 1 2 12 -> 30 6 19 13 0 18 8 6 22 , 17 1 2 4 1 2 4 -> 45 6 19 13 0 18 8 6 13 , 17 1 2 4 1 2 6 -> 45 6 19 13 0 18 8 6 19 , 17 1 2 4 1 2 3 -> 45 6 19 13 0 18 8 6 2 , 17 1 2 4 1 2 9 -> 45 6 19 13 0 18 8 6 7 , 17 1 2 4 1 2 10 -> 45 6 19 13 0 18 8 6 20 , 17 1 2 4 1 2 11 -> 45 6 19 13 0 18 8 6 21 , 17 1 2 4 1 2 12 -> 45 6 19 13 0 18 8 6 22 , 29 30 4 0 1 2 4 -> 0 0 18 8 11 35 20 36 4 , 29 30 4 0 1 2 6 -> 0 0 18 8 11 35 20 36 6 , 29 30 4 0 1 2 3 -> 0 0 18 8 11 35 20 36 3 , 29 30 4 0 1 2 9 -> 0 0 18 8 11 35 20 36 9 , 29 30 4 0 1 2 10 -> 0 0 18 8 11 35 20 36 10 , 29 30 4 0 1 2 11 -> 0 0 18 8 11 35 20 36 11 , 29 30 4 0 1 2 12 -> 0 0 18 8 11 35 20 36 12 , 21 30 4 0 1 2 4 -> 13 0 18 8 11 35 20 36 4 , 21 30 4 0 1 2 6 -> 13 0 18 8 11 35 20 36 6 , 21 30 4 0 1 2 3 -> 13 0 18 8 11 35 20 36 3 , 21 30 4 0 1 2 9 -> 13 0 18 8 11 35 20 36 9 , 21 30 4 0 1 2 10 -> 13 0 18 8 11 35 20 36 10 , 21 30 4 0 1 2 11 -> 13 0 18 8 11 35 20 36 11 , 21 30 4 0 1 2 12 -> 13 0 18 8 11 35 20 36 12 , 11 30 4 0 1 2 4 -> 4 0 18 8 11 35 20 36 4 , 11 30 4 0 1 2 6 -> 4 0 18 8 11 35 20 36 6 , 11 30 4 0 1 2 3 -> 4 0 18 8 11 35 20 36 3 , 11 30 4 0 1 2 9 -> 4 0 18 8 11 35 20 36 9 , 11 30 4 0 1 2 10 -> 4 0 18 8 11 35 20 36 10 , 11 30 4 0 1 2 11 -> 4 0 18 8 11 35 20 36 11 , 11 30 4 0 1 2 12 -> 4 0 18 8 11 35 20 36 12 , 32 30 4 0 1 2 4 -> 14 0 18 8 11 35 20 36 4 , 32 30 4 0 1 2 6 -> 14 0 18 8 11 35 20 36 6 , 32 30 4 0 1 2 3 -> 14 0 18 8 11 35 20 36 3 , 32 30 4 0 1 2 9 -> 14 0 18 8 11 35 20 36 9 , 32 30 4 0 1 2 10 -> 14 0 18 8 11 35 20 36 10 , 32 30 4 0 1 2 11 -> 14 0 18 8 11 35 20 36 11 , 32 30 4 0 1 2 12 -> 14 0 18 8 11 35 20 36 12 , 33 30 4 0 1 2 4 -> 15 0 18 8 11 35 20 36 4 , 33 30 4 0 1 2 6 -> 15 0 18 8 11 35 20 36 6 , 33 30 4 0 1 2 3 -> 15 0 18 8 11 35 20 36 3 , 33 30 4 0 1 2 9 -> 15 0 18 8 11 35 20 36 9 , 33 30 4 0 1 2 10 -> 15 0 18 8 11 35 20 36 10 , 33 30 4 0 1 2 11 -> 15 0 18 8 11 35 20 36 11 , 33 30 4 0 1 2 12 -> 15 0 18 8 11 35 20 36 12 , 31 30 4 0 1 2 4 -> 16 0 18 8 11 35 20 36 4 , 31 30 4 0 1 2 6 -> 16 0 18 8 11 35 20 36 6 , 31 30 4 0 1 2 3 -> 16 0 18 8 11 35 20 36 3 , 31 30 4 0 1 2 9 -> 16 0 18 8 11 35 20 36 9 , 31 30 4 0 1 2 10 -> 16 0 18 8 11 35 20 36 10 , 31 30 4 0 1 2 11 -> 16 0 18 8 11 35 20 36 11 , 31 30 4 0 1 2 12 -> 16 0 18 8 11 35 20 36 12 , 34 30 4 0 1 2 4 -> 17 0 18 8 11 35 20 36 4 , 34 30 4 0 1 2 6 -> 17 0 18 8 11 35 20 36 6 , 34 30 4 0 1 2 3 -> 17 0 18 8 11 35 20 36 3 , 34 30 4 0 1 2 9 -> 17 0 18 8 11 35 20 36 9 , 34 30 4 0 1 2 10 -> 17 0 18 8 11 35 20 36 10 , 34 30 4 0 1 2 11 -> 17 0 18 8 11 35 20 36 11 , 34 30 4 0 1 2 12 -> 17 0 18 8 11 35 20 36 12 , 29 31 31 16 1 2 4 -> 29 37 32 35 21 16 5 4 , 29 31 31 16 1 2 6 -> 29 37 32 35 21 16 5 6 , 29 31 31 16 1 2 3 -> 29 37 32 35 21 16 5 3 , 29 31 31 16 1 2 9 -> 29 37 32 35 21 16 5 9 , 29 31 31 16 1 2 10 -> 29 37 32 35 21 16 5 10 , 29 31 31 16 1 2 11 -> 29 37 32 35 21 16 5 11 , 29 31 31 16 1 2 12 -> 29 37 32 35 21 16 5 12 , 21 31 31 16 1 2 4 -> 21 37 32 35 21 16 5 4 , 21 31 31 16 1 2 6 -> 21 37 32 35 21 16 5 6 , 21 31 31 16 1 2 3 -> 21 37 32 35 21 16 5 3 , 21 31 31 16 1 2 9 -> 21 37 32 35 21 16 5 9 , 21 31 31 16 1 2 10 -> 21 37 32 35 21 16 5 10 , 21 31 31 16 1 2 11 -> 21 37 32 35 21 16 5 11 , 21 31 31 16 1 2 12 -> 21 37 32 35 21 16 5 12 , 11 31 31 16 1 2 4 -> 11 37 32 35 21 16 5 4 , 11 31 31 16 1 2 6 -> 11 37 32 35 21 16 5 6 , 11 31 31 16 1 2 3 -> 11 37 32 35 21 16 5 3 , 11 31 31 16 1 2 9 -> 11 37 32 35 21 16 5 9 , 11 31 31 16 1 2 10 -> 11 37 32 35 21 16 5 10 , 11 31 31 16 1 2 11 -> 11 37 32 35 21 16 5 11 , 11 31 31 16 1 2 12 -> 11 37 32 35 21 16 5 12 , 32 31 31 16 1 2 4 -> 32 37 32 35 21 16 5 4 , 32 31 31 16 1 2 6 -> 32 37 32 35 21 16 5 6 , 32 31 31 16 1 2 3 -> 32 37 32 35 21 16 5 3 , 32 31 31 16 1 2 9 -> 32 37 32 35 21 16 5 9 , 32 31 31 16 1 2 10 -> 32 37 32 35 21 16 5 10 , 32 31 31 16 1 2 11 -> 32 37 32 35 21 16 5 11 , 32 31 31 16 1 2 12 -> 32 37 32 35 21 16 5 12 , 33 31 31 16 1 2 4 -> 33 37 32 35 21 16 5 4 , 33 31 31 16 1 2 6 -> 33 37 32 35 21 16 5 6 , 33 31 31 16 1 2 3 -> 33 37 32 35 21 16 5 3 , 33 31 31 16 1 2 9 -> 33 37 32 35 21 16 5 9 , 33 31 31 16 1 2 10 -> 33 37 32 35 21 16 5 10 , 33 31 31 16 1 2 11 -> 33 37 32 35 21 16 5 11 , 33 31 31 16 1 2 12 -> 33 37 32 35 21 16 5 12 , 31 31 31 16 1 2 4 -> 31 37 32 35 21 16 5 4 , 31 31 31 16 1 2 6 -> 31 37 32 35 21 16 5 6 , 31 31 31 16 1 2 3 -> 31 37 32 35 21 16 5 3 , 31 31 31 16 1 2 9 -> 31 37 32 35 21 16 5 9 , 31 31 31 16 1 2 10 -> 31 37 32 35 21 16 5 10 , 31 31 31 16 1 2 11 -> 31 37 32 35 21 16 5 11 , 31 31 31 16 1 2 12 -> 31 37 32 35 21 16 5 12 , 34 31 31 16 1 2 4 -> 34 37 32 35 21 16 5 4 , 34 31 31 16 1 2 6 -> 34 37 32 35 21 16 5 6 , 34 31 31 16 1 2 3 -> 34 37 32 35 21 16 5 3 , 34 31 31 16 1 2 9 -> 34 37 32 35 21 16 5 9 , 34 31 31 16 1 2 10 -> 34 37 32 35 21 16 5 10 , 34 31 31 16 1 2 11 -> 34 37 32 35 21 16 5 11 , 34 31 31 16 1 2 12 -> 34 37 32 35 21 16 5 12 , 0 29 35 7 39 2 4 -> 0 18 40 32 35 2 6 13 , 0 29 35 7 39 2 6 -> 0 18 40 32 35 2 6 19 , 0 29 35 7 39 2 3 -> 0 18 40 32 35 2 6 2 , 0 29 35 7 39 2 9 -> 0 18 40 32 35 2 6 7 , 0 29 35 7 39 2 10 -> 0 18 40 32 35 2 6 20 , 0 29 35 7 39 2 11 -> 0 18 40 32 35 2 6 21 , 0 29 35 7 39 2 12 -> 0 18 40 32 35 2 6 22 , 13 29 35 7 39 2 4 -> 13 18 40 32 35 2 6 13 , 13 29 35 7 39 2 6 -> 13 18 40 32 35 2 6 19 , 13 29 35 7 39 2 3 -> 13 18 40 32 35 2 6 2 , 13 29 35 7 39 2 9 -> 13 18 40 32 35 2 6 7 , 13 29 35 7 39 2 10 -> 13 18 40 32 35 2 6 20 , 13 29 35 7 39 2 11 -> 13 18 40 32 35 2 6 21 , 13 29 35 7 39 2 12 -> 13 18 40 32 35 2 6 22 , 4 29 35 7 39 2 4 -> 4 18 40 32 35 2 6 13 , 4 29 35 7 39 2 6 -> 4 18 40 32 35 2 6 19 , 4 29 35 7 39 2 3 -> 4 18 40 32 35 2 6 2 , 4 29 35 7 39 2 9 -> 4 18 40 32 35 2 6 7 , 4 29 35 7 39 2 10 -> 4 18 40 32 35 2 6 20 , 4 29 35 7 39 2 11 -> 4 18 40 32 35 2 6 21 , 4 29 35 7 39 2 12 -> 4 18 40 32 35 2 6 22 , 14 29 35 7 39 2 4 -> 14 18 40 32 35 2 6 13 , 14 29 35 7 39 2 6 -> 14 18 40 32 35 2 6 19 , 14 29 35 7 39 2 3 -> 14 18 40 32 35 2 6 2 , 14 29 35 7 39 2 9 -> 14 18 40 32 35 2 6 7 , 14 29 35 7 39 2 10 -> 14 18 40 32 35 2 6 20 , 14 29 35 7 39 2 11 -> 14 18 40 32 35 2 6 21 , 14 29 35 7 39 2 12 -> 14 18 40 32 35 2 6 22 , 15 29 35 7 39 2 4 -> 15 18 40 32 35 2 6 13 , 15 29 35 7 39 2 6 -> 15 18 40 32 35 2 6 19 , 15 29 35 7 39 2 3 -> 15 18 40 32 35 2 6 2 , 15 29 35 7 39 2 9 -> 15 18 40 32 35 2 6 7 , 15 29 35 7 39 2 10 -> 15 18 40 32 35 2 6 20 , 15 29 35 7 39 2 11 -> 15 18 40 32 35 2 6 21 , 15 29 35 7 39 2 12 -> 15 18 40 32 35 2 6 22 , 16 29 35 7 39 2 4 -> 16 18 40 32 35 2 6 13 , 16 29 35 7 39 2 6 -> 16 18 40 32 35 2 6 19 , 16 29 35 7 39 2 3 -> 16 18 40 32 35 2 6 2 , 16 29 35 7 39 2 9 -> 16 18 40 32 35 2 6 7 , 16 29 35 7 39 2 10 -> 16 18 40 32 35 2 6 20 , 16 29 35 7 39 2 11 -> 16 18 40 32 35 2 6 21 , 16 29 35 7 39 2 12 -> 16 18 40 32 35 2 6 22 , 17 29 35 7 39 2 4 -> 17 18 40 32 35 2 6 13 , 17 29 35 7 39 2 6 -> 17 18 40 32 35 2 6 19 , 17 29 35 7 39 2 3 -> 17 18 40 32 35 2 6 2 , 17 29 35 7 39 2 9 -> 17 18 40 32 35 2 6 7 , 17 29 35 7 39 2 10 -> 17 18 40 32 35 2 6 20 , 17 29 35 7 39 2 11 -> 17 18 40 32 35 2 6 21 , 17 29 35 7 39 2 12 -> 17 18 40 32 35 2 6 22 , 29 30 10 26 24 2 4 -> 23 33 35 2 3 9 25 15 , 29 30 10 26 24 2 6 -> 23 33 35 2 3 9 25 24 , 29 30 10 26 24 2 3 -> 23 33 35 2 3 9 25 36 , 29 30 10 26 24 2 9 -> 23 33 35 2 3 9 25 41 , 29 30 10 26 24 2 10 -> 23 33 35 2 3 9 25 26 , 29 30 10 26 24 2 11 -> 23 33 35 2 3 9 25 33 , 29 30 10 26 24 2 12 -> 23 33 35 2 3 9 25 46 , 21 30 10 26 24 2 4 -> 20 33 35 2 3 9 25 15 , 21 30 10 26 24 2 6 -> 20 33 35 2 3 9 25 24 , 21 30 10 26 24 2 3 -> 20 33 35 2 3 9 25 36 , 21 30 10 26 24 2 9 -> 20 33 35 2 3 9 25 41 , 21 30 10 26 24 2 10 -> 20 33 35 2 3 9 25 26 , 21 30 10 26 24 2 11 -> 20 33 35 2 3 9 25 33 , 21 30 10 26 24 2 12 -> 20 33 35 2 3 9 25 46 , 11 30 10 26 24 2 4 -> 10 33 35 2 3 9 25 15 , 11 30 10 26 24 2 6 -> 10 33 35 2 3 9 25 24 , 11 30 10 26 24 2 3 -> 10 33 35 2 3 9 25 36 , 11 30 10 26 24 2 9 -> 10 33 35 2 3 9 25 41 , 11 30 10 26 24 2 10 -> 10 33 35 2 3 9 25 26 , 11 30 10 26 24 2 11 -> 10 33 35 2 3 9 25 33 , 11 30 10 26 24 2 12 -> 10 33 35 2 3 9 25 46 , 32 30 10 26 24 2 4 -> 25 33 35 2 3 9 25 15 , 32 30 10 26 24 2 6 -> 25 33 35 2 3 9 25 24 , 32 30 10 26 24 2 3 -> 25 33 35 2 3 9 25 36 , 32 30 10 26 24 2 9 -> 25 33 35 2 3 9 25 41 , 32 30 10 26 24 2 10 -> 25 33 35 2 3 9 25 26 , 32 30 10 26 24 2 11 -> 25 33 35 2 3 9 25 33 , 32 30 10 26 24 2 12 -> 25 33 35 2 3 9 25 46 , 33 30 10 26 24 2 4 -> 26 33 35 2 3 9 25 15 , 33 30 10 26 24 2 6 -> 26 33 35 2 3 9 25 24 , 33 30 10 26 24 2 3 -> 26 33 35 2 3 9 25 36 , 33 30 10 26 24 2 9 -> 26 33 35 2 3 9 25 41 , 33 30 10 26 24 2 10 -> 26 33 35 2 3 9 25 26 , 33 30 10 26 24 2 11 -> 26 33 35 2 3 9 25 33 , 33 30 10 26 24 2 12 -> 26 33 35 2 3 9 25 46 , 31 30 10 26 24 2 4 -> 27 33 35 2 3 9 25 15 , 31 30 10 26 24 2 6 -> 27 33 35 2 3 9 25 24 , 31 30 10 26 24 2 3 -> 27 33 35 2 3 9 25 36 , 31 30 10 26 24 2 9 -> 27 33 35 2 3 9 25 41 , 31 30 10 26 24 2 10 -> 27 33 35 2 3 9 25 26 , 31 30 10 26 24 2 11 -> 27 33 35 2 3 9 25 33 , 31 30 10 26 24 2 12 -> 27 33 35 2 3 9 25 46 , 34 30 10 26 24 2 4 -> 28 33 35 2 3 9 25 15 , 34 30 10 26 24 2 6 -> 28 33 35 2 3 9 25 24 , 34 30 10 26 24 2 3 -> 28 33 35 2 3 9 25 36 , 34 30 10 26 24 2 9 -> 28 33 35 2 3 9 25 41 , 34 30 10 26 24 2 10 -> 28 33 35 2 3 9 25 26 , 34 30 10 26 24 2 11 -> 28 33 35 2 3 9 25 33 , 34 30 10 26 24 2 12 -> 28 33 35 2 3 9 25 46 , 1 21 37 32 16 5 4 -> 29 31 35 13 0 18 40 8 4 , 1 21 37 32 16 5 6 -> 29 31 35 13 0 18 40 8 6 , 1 21 37 32 16 5 3 -> 29 31 35 13 0 18 40 8 3 , 1 21 37 32 16 5 9 -> 29 31 35 13 0 18 40 8 9 , 1 21 37 32 16 5 10 -> 29 31 35 13 0 18 40 8 10 , 1 21 37 32 16 5 11 -> 29 31 35 13 0 18 40 8 11 , 1 21 37 32 16 5 12 -> 29 31 35 13 0 18 40 8 12 , 19 21 37 32 16 5 4 -> 21 31 35 13 0 18 40 8 4 , 19 21 37 32 16 5 6 -> 21 31 35 13 0 18 40 8 6 , 19 21 37 32 16 5 3 -> 21 31 35 13 0 18 40 8 3 , 19 21 37 32 16 5 9 -> 21 31 35 13 0 18 40 8 9 , 19 21 37 32 16 5 10 -> 21 31 35 13 0 18 40 8 10 , 19 21 37 32 16 5 11 -> 21 31 35 13 0 18 40 8 11 , 19 21 37 32 16 5 12 -> 21 31 35 13 0 18 40 8 12 , 6 21 37 32 16 5 4 -> 11 31 35 13 0 18 40 8 4 , 6 21 37 32 16 5 6 -> 11 31 35 13 0 18 40 8 6 , 6 21 37 32 16 5 3 -> 11 31 35 13 0 18 40 8 3 , 6 21 37 32 16 5 9 -> 11 31 35 13 0 18 40 8 9 , 6 21 37 32 16 5 10 -> 11 31 35 13 0 18 40 8 10 , 6 21 37 32 16 5 11 -> 11 31 35 13 0 18 40 8 11 , 6 21 37 32 16 5 12 -> 11 31 35 13 0 18 40 8 12 , 39 21 37 32 16 5 4 -> 32 31 35 13 0 18 40 8 4 , 39 21 37 32 16 5 6 -> 32 31 35 13 0 18 40 8 6 , 39 21 37 32 16 5 3 -> 32 31 35 13 0 18 40 8 3 , 39 21 37 32 16 5 9 -> 32 31 35 13 0 18 40 8 9 , 39 21 37 32 16 5 10 -> 32 31 35 13 0 18 40 8 10 , 39 21 37 32 16 5 11 -> 32 31 35 13 0 18 40 8 11 , 39 21 37 32 16 5 12 -> 32 31 35 13 0 18 40 8 12 , 24 21 37 32 16 5 4 -> 33 31 35 13 0 18 40 8 4 , 24 21 37 32 16 5 6 -> 33 31 35 13 0 18 40 8 6 , 24 21 37 32 16 5 3 -> 33 31 35 13 0 18 40 8 3 , 24 21 37 32 16 5 9 -> 33 31 35 13 0 18 40 8 9 , 24 21 37 32 16 5 10 -> 33 31 35 13 0 18 40 8 10 , 24 21 37 32 16 5 11 -> 33 31 35 13 0 18 40 8 11 , 24 21 37 32 16 5 12 -> 33 31 35 13 0 18 40 8 12 , 35 21 37 32 16 5 4 -> 31 31 35 13 0 18 40 8 4 , 35 21 37 32 16 5 6 -> 31 31 35 13 0 18 40 8 6 , 35 21 37 32 16 5 3 -> 31 31 35 13 0 18 40 8 3 , 35 21 37 32 16 5 9 -> 31 31 35 13 0 18 40 8 9 , 35 21 37 32 16 5 10 -> 31 31 35 13 0 18 40 8 10 , 35 21 37 32 16 5 11 -> 31 31 35 13 0 18 40 8 11 , 35 21 37 32 16 5 12 -> 31 31 35 13 0 18 40 8 12 , 43 21 37 32 16 5 4 -> 34 31 35 13 0 18 40 8 4 , 43 21 37 32 16 5 6 -> 34 31 35 13 0 18 40 8 6 , 43 21 37 32 16 5 3 -> 34 31 35 13 0 18 40 8 3 , 43 21 37 32 16 5 9 -> 34 31 35 13 0 18 40 8 9 , 43 21 37 32 16 5 10 -> 34 31 35 13 0 18 40 8 10 , 43 21 37 32 16 5 11 -> 34 31 35 13 0 18 40 8 11 , 43 21 37 32 16 5 12 -> 34 31 35 13 0 18 40 8 12 , 23 33 30 3 11 30 4 -> 29 31 27 36 6 2 6 2 4 , 23 33 30 3 11 30 6 -> 29 31 27 36 6 2 6 2 6 , 23 33 30 3 11 30 3 -> 29 31 27 36 6 2 6 2 3 , 23 33 30 3 11 30 9 -> 29 31 27 36 6 2 6 2 9 , 23 33 30 3 11 30 10 -> 29 31 27 36 6 2 6 2 10 , 23 33 30 3 11 30 11 -> 29 31 27 36 6 2 6 2 11 , 23 33 30 3 11 30 12 -> 29 31 27 36 6 2 6 2 12 , 20 33 30 3 11 30 4 -> 21 31 27 36 6 2 6 2 4 , 20 33 30 3 11 30 6 -> 21 31 27 36 6 2 6 2 6 , 20 33 30 3 11 30 3 -> 21 31 27 36 6 2 6 2 3 , 20 33 30 3 11 30 9 -> 21 31 27 36 6 2 6 2 9 , 20 33 30 3 11 30 10 -> 21 31 27 36 6 2 6 2 10 , 20 33 30 3 11 30 11 -> 21 31 27 36 6 2 6 2 11 , 20 33 30 3 11 30 12 -> 21 31 27 36 6 2 6 2 12 , 10 33 30 3 11 30 4 -> 11 31 27 36 6 2 6 2 4 , 10 33 30 3 11 30 6 -> 11 31 27 36 6 2 6 2 6 , 10 33 30 3 11 30 3 -> 11 31 27 36 6 2 6 2 3 , 10 33 30 3 11 30 9 -> 11 31 27 36 6 2 6 2 9 , 10 33 30 3 11 30 10 -> 11 31 27 36 6 2 6 2 10 , 10 33 30 3 11 30 11 -> 11 31 27 36 6 2 6 2 11 , 10 33 30 3 11 30 12 -> 11 31 27 36 6 2 6 2 12 , 25 33 30 3 11 30 4 -> 32 31 27 36 6 2 6 2 4 , 25 33 30 3 11 30 6 -> 32 31 27 36 6 2 6 2 6 , 25 33 30 3 11 30 3 -> 32 31 27 36 6 2 6 2 3 , 25 33 30 3 11 30 9 -> 32 31 27 36 6 2 6 2 9 , 25 33 30 3 11 30 10 -> 32 31 27 36 6 2 6 2 10 , 25 33 30 3 11 30 11 -> 32 31 27 36 6 2 6 2 11 , 25 33 30 3 11 30 12 -> 32 31 27 36 6 2 6 2 12 , 26 33 30 3 11 30 4 -> 33 31 27 36 6 2 6 2 4 , 26 33 30 3 11 30 6 -> 33 31 27 36 6 2 6 2 6 , 26 33 30 3 11 30 3 -> 33 31 27 36 6 2 6 2 3 , 26 33 30 3 11 30 9 -> 33 31 27 36 6 2 6 2 9 , 26 33 30 3 11 30 10 -> 33 31 27 36 6 2 6 2 10 , 26 33 30 3 11 30 11 -> 33 31 27 36 6 2 6 2 11 , 26 33 30 3 11 30 12 -> 33 31 27 36 6 2 6 2 12 , 27 33 30 3 11 30 4 -> 31 31 27 36 6 2 6 2 4 , 27 33 30 3 11 30 6 -> 31 31 27 36 6 2 6 2 6 , 27 33 30 3 11 30 3 -> 31 31 27 36 6 2 6 2 3 , 27 33 30 3 11 30 9 -> 31 31 27 36 6 2 6 2 9 , 27 33 30 3 11 30 10 -> 31 31 27 36 6 2 6 2 10 , 27 33 30 3 11 30 11 -> 31 31 27 36 6 2 6 2 11 , 27 33 30 3 11 30 12 -> 31 31 27 36 6 2 6 2 12 , 28 33 30 3 11 30 4 -> 34 31 27 36 6 2 6 2 4 , 28 33 30 3 11 30 6 -> 34 31 27 36 6 2 6 2 6 , 28 33 30 3 11 30 3 -> 34 31 27 36 6 2 6 2 3 , 28 33 30 3 11 30 9 -> 34 31 27 36 6 2 6 2 9 , 28 33 30 3 11 30 10 -> 34 31 27 36 6 2 6 2 10 , 28 33 30 3 11 30 11 -> 34 31 27 36 6 2 6 2 11 , 28 33 30 3 11 30 12 -> 34 31 27 36 6 2 6 2 12 , 23 24 13 1 21 30 4 -> 23 36 4 0 18 32 35 19 13 , 23 24 13 1 21 30 6 -> 23 36 4 0 18 32 35 19 19 , 23 24 13 1 21 30 3 -> 23 36 4 0 18 32 35 19 2 , 23 24 13 1 21 30 9 -> 23 36 4 0 18 32 35 19 7 , 23 24 13 1 21 30 10 -> 23 36 4 0 18 32 35 19 20 , 23 24 13 1 21 30 11 -> 23 36 4 0 18 32 35 19 21 , 23 24 13 1 21 30 12 -> 23 36 4 0 18 32 35 19 22 , 20 24 13 1 21 30 4 -> 20 36 4 0 18 32 35 19 13 , 20 24 13 1 21 30 6 -> 20 36 4 0 18 32 35 19 19 , 20 24 13 1 21 30 3 -> 20 36 4 0 18 32 35 19 2 , 20 24 13 1 21 30 9 -> 20 36 4 0 18 32 35 19 7 , 20 24 13 1 21 30 10 -> 20 36 4 0 18 32 35 19 20 , 20 24 13 1 21 30 11 -> 20 36 4 0 18 32 35 19 21 , 20 24 13 1 21 30 12 -> 20 36 4 0 18 32 35 19 22 , 10 24 13 1 21 30 4 -> 10 36 4 0 18 32 35 19 13 , 10 24 13 1 21 30 6 -> 10 36 4 0 18 32 35 19 19 , 10 24 13 1 21 30 3 -> 10 36 4 0 18 32 35 19 2 , 10 24 13 1 21 30 9 -> 10 36 4 0 18 32 35 19 7 , 10 24 13 1 21 30 10 -> 10 36 4 0 18 32 35 19 20 , 10 24 13 1 21 30 11 -> 10 36 4 0 18 32 35 19 21 , 10 24 13 1 21 30 12 -> 10 36 4 0 18 32 35 19 22 , 25 24 13 1 21 30 4 -> 25 36 4 0 18 32 35 19 13 , 25 24 13 1 21 30 6 -> 25 36 4 0 18 32 35 19 19 , 25 24 13 1 21 30 3 -> 25 36 4 0 18 32 35 19 2 , 25 24 13 1 21 30 9 -> 25 36 4 0 18 32 35 19 7 , 25 24 13 1 21 30 10 -> 25 36 4 0 18 32 35 19 20 , 25 24 13 1 21 30 11 -> 25 36 4 0 18 32 35 19 21 , 25 24 13 1 21 30 12 -> 25 36 4 0 18 32 35 19 22 , 26 24 13 1 21 30 4 -> 26 36 4 0 18 32 35 19 13 , 26 24 13 1 21 30 6 -> 26 36 4 0 18 32 35 19 19 , 26 24 13 1 21 30 3 -> 26 36 4 0 18 32 35 19 2 , 26 24 13 1 21 30 9 -> 26 36 4 0 18 32 35 19 7 , 26 24 13 1 21 30 10 -> 26 36 4 0 18 32 35 19 20 , 26 24 13 1 21 30 11 -> 26 36 4 0 18 32 35 19 21 , 26 24 13 1 21 30 12 -> 26 36 4 0 18 32 35 19 22 , 27 24 13 1 21 30 4 -> 27 36 4 0 18 32 35 19 13 , 27 24 13 1 21 30 6 -> 27 36 4 0 18 32 35 19 19 , 27 24 13 1 21 30 3 -> 27 36 4 0 18 32 35 19 2 , 27 24 13 1 21 30 9 -> 27 36 4 0 18 32 35 19 7 , 27 24 13 1 21 30 10 -> 27 36 4 0 18 32 35 19 20 , 27 24 13 1 21 30 11 -> 27 36 4 0 18 32 35 19 21 , 27 24 13 1 21 30 12 -> 27 36 4 0 18 32 35 19 22 , 28 24 13 1 21 30 4 -> 28 36 4 0 18 32 35 19 13 , 28 24 13 1 21 30 6 -> 28 36 4 0 18 32 35 19 19 , 28 24 13 1 21 30 3 -> 28 36 4 0 18 32 35 19 2 , 28 24 13 1 21 30 9 -> 28 36 4 0 18 32 35 19 7 , 28 24 13 1 21 30 10 -> 28 36 4 0 18 32 35 19 20 , 28 24 13 1 21 30 11 -> 28 36 4 0 18 32 35 19 21 , 28 24 13 1 21 30 12 -> 28 36 4 0 18 32 35 19 22 , 29 16 1 21 31 30 4 -> 29 27 33 31 35 13 5 4 , 29 16 1 21 31 30 6 -> 29 27 33 31 35 13 5 6 , 29 16 1 21 31 30 3 -> 29 27 33 31 35 13 5 3 , 29 16 1 21 31 30 9 -> 29 27 33 31 35 13 5 9 , 29 16 1 21 31 30 10 -> 29 27 33 31 35 13 5 10 , 29 16 1 21 31 30 11 -> 29 27 33 31 35 13 5 11 , 29 16 1 21 31 30 12 -> 29 27 33 31 35 13 5 12 , 21 16 1 21 31 30 4 -> 21 27 33 31 35 13 5 4 , 21 16 1 21 31 30 6 -> 21 27 33 31 35 13 5 6 , 21 16 1 21 31 30 3 -> 21 27 33 31 35 13 5 3 , 21 16 1 21 31 30 9 -> 21 27 33 31 35 13 5 9 , 21 16 1 21 31 30 10 -> 21 27 33 31 35 13 5 10 , 21 16 1 21 31 30 11 -> 21 27 33 31 35 13 5 11 , 21 16 1 21 31 30 12 -> 21 27 33 31 35 13 5 12 , 11 16 1 21 31 30 4 -> 11 27 33 31 35 13 5 4 , 11 16 1 21 31 30 6 -> 11 27 33 31 35 13 5 6 , 11 16 1 21 31 30 3 -> 11 27 33 31 35 13 5 3 , 11 16 1 21 31 30 9 -> 11 27 33 31 35 13 5 9 , 11 16 1 21 31 30 10 -> 11 27 33 31 35 13 5 10 , 11 16 1 21 31 30 11 -> 11 27 33 31 35 13 5 11 , 11 16 1 21 31 30 12 -> 11 27 33 31 35 13 5 12 , 32 16 1 21 31 30 4 -> 32 27 33 31 35 13 5 4 , 32 16 1 21 31 30 6 -> 32 27 33 31 35 13 5 6 , 32 16 1 21 31 30 3 -> 32 27 33 31 35 13 5 3 , 32 16 1 21 31 30 9 -> 32 27 33 31 35 13 5 9 , 32 16 1 21 31 30 10 -> 32 27 33 31 35 13 5 10 , 32 16 1 21 31 30 11 -> 32 27 33 31 35 13 5 11 , 32 16 1 21 31 30 12 -> 32 27 33 31 35 13 5 12 , 33 16 1 21 31 30 4 -> 33 27 33 31 35 13 5 4 , 33 16 1 21 31 30 6 -> 33 27 33 31 35 13 5 6 , 33 16 1 21 31 30 3 -> 33 27 33 31 35 13 5 3 , 33 16 1 21 31 30 9 -> 33 27 33 31 35 13 5 9 , 33 16 1 21 31 30 10 -> 33 27 33 31 35 13 5 10 , 33 16 1 21 31 30 11 -> 33 27 33 31 35 13 5 11 , 33 16 1 21 31 30 12 -> 33 27 33 31 35 13 5 12 , 31 16 1 21 31 30 4 -> 31 27 33 31 35 13 5 4 , 31 16 1 21 31 30 6 -> 31 27 33 31 35 13 5 6 , 31 16 1 21 31 30 3 -> 31 27 33 31 35 13 5 3 , 31 16 1 21 31 30 9 -> 31 27 33 31 35 13 5 9 , 31 16 1 21 31 30 10 -> 31 27 33 31 35 13 5 10 , 31 16 1 21 31 30 11 -> 31 27 33 31 35 13 5 11 , 31 16 1 21 31 30 12 -> 31 27 33 31 35 13 5 12 , 34 16 1 21 31 30 4 -> 34 27 33 31 35 13 5 4 , 34 16 1 21 31 30 6 -> 34 27 33 31 35 13 5 6 , 34 16 1 21 31 30 3 -> 34 27 33 31 35 13 5 3 , 34 16 1 21 31 30 9 -> 34 27 33 31 35 13 5 9 , 34 16 1 21 31 30 10 -> 34 27 33 31 35 13 5 10 , 34 16 1 21 31 30 11 -> 34 27 33 31 35 13 5 11 , 34 16 1 21 31 30 12 -> 34 27 33 31 35 13 5 12 , 23 41 14 5 3 6 13 -> 0 18 40 8 3 10 24 13 , 23 41 14 5 3 6 19 -> 0 18 40 8 3 10 24 19 , 23 41 14 5 3 6 2 -> 0 18 40 8 3 10 24 2 , 23 41 14 5 3 6 7 -> 0 18 40 8 3 10 24 7 , 23 41 14 5 3 6 20 -> 0 18 40 8 3 10 24 20 , 23 41 14 5 3 6 21 -> 0 18 40 8 3 10 24 21 , 23 41 14 5 3 6 22 -> 0 18 40 8 3 10 24 22 , 20 41 14 5 3 6 13 -> 13 18 40 8 3 10 24 13 , 20 41 14 5 3 6 19 -> 13 18 40 8 3 10 24 19 , 20 41 14 5 3 6 2 -> 13 18 40 8 3 10 24 2 , 20 41 14 5 3 6 7 -> 13 18 40 8 3 10 24 7 , 20 41 14 5 3 6 20 -> 13 18 40 8 3 10 24 20 , 20 41 14 5 3 6 21 -> 13 18 40 8 3 10 24 21 , 20 41 14 5 3 6 22 -> 13 18 40 8 3 10 24 22 , 10 41 14 5 3 6 13 -> 4 18 40 8 3 10 24 13 , 10 41 14 5 3 6 19 -> 4 18 40 8 3 10 24 19 , 10 41 14 5 3 6 2 -> 4 18 40 8 3 10 24 2 , 10 41 14 5 3 6 7 -> 4 18 40 8 3 10 24 7 , 10 41 14 5 3 6 20 -> 4 18 40 8 3 10 24 20 , 10 41 14 5 3 6 21 -> 4 18 40 8 3 10 24 21 , 10 41 14 5 3 6 22 -> 4 18 40 8 3 10 24 22 , 25 41 14 5 3 6 13 -> 14 18 40 8 3 10 24 13 , 25 41 14 5 3 6 19 -> 14 18 40 8 3 10 24 19 , 25 41 14 5 3 6 2 -> 14 18 40 8 3 10 24 2 , 25 41 14 5 3 6 7 -> 14 18 40 8 3 10 24 7 , 25 41 14 5 3 6 20 -> 14 18 40 8 3 10 24 20 , 25 41 14 5 3 6 21 -> 14 18 40 8 3 10 24 21 , 25 41 14 5 3 6 22 -> 14 18 40 8 3 10 24 22 , 26 41 14 5 3 6 13 -> 15 18 40 8 3 10 24 13 , 26 41 14 5 3 6 19 -> 15 18 40 8 3 10 24 19 , 26 41 14 5 3 6 2 -> 15 18 40 8 3 10 24 2 , 26 41 14 5 3 6 7 -> 15 18 40 8 3 10 24 7 , 26 41 14 5 3 6 20 -> 15 18 40 8 3 10 24 20 , 26 41 14 5 3 6 21 -> 15 18 40 8 3 10 24 21 , 26 41 14 5 3 6 22 -> 15 18 40 8 3 10 24 22 , 27 41 14 5 3 6 13 -> 16 18 40 8 3 10 24 13 , 27 41 14 5 3 6 19 -> 16 18 40 8 3 10 24 19 , 27 41 14 5 3 6 2 -> 16 18 40 8 3 10 24 2 , 27 41 14 5 3 6 7 -> 16 18 40 8 3 10 24 7 , 27 41 14 5 3 6 20 -> 16 18 40 8 3 10 24 20 , 27 41 14 5 3 6 21 -> 16 18 40 8 3 10 24 21 , 27 41 14 5 3 6 22 -> 16 18 40 8 3 10 24 22 , 28 41 14 5 3 6 13 -> 17 18 40 8 3 10 24 13 , 28 41 14 5 3 6 19 -> 17 18 40 8 3 10 24 19 , 28 41 14 5 3 6 2 -> 17 18 40 8 3 10 24 2 , 28 41 14 5 3 6 7 -> 17 18 40 8 3 10 24 7 , 28 41 14 5 3 6 20 -> 17 18 40 8 3 10 24 20 , 28 41 14 5 3 6 21 -> 17 18 40 8 3 10 24 21 , 28 41 14 5 3 6 22 -> 17 18 40 8 3 10 24 22 , 1 21 37 39 2 6 13 -> 0 0 18 32 35 19 19 2 4 , 1 21 37 39 2 6 19 -> 0 0 18 32 35 19 19 2 6 , 1 21 37 39 2 6 2 -> 0 0 18 32 35 19 19 2 3 , 1 21 37 39 2 6 7 -> 0 0 18 32 35 19 19 2 9 , 1 21 37 39 2 6 20 -> 0 0 18 32 35 19 19 2 10 , 1 21 37 39 2 6 21 -> 0 0 18 32 35 19 19 2 11 , 1 21 37 39 2 6 22 -> 0 0 18 32 35 19 19 2 12 , 19 21 37 39 2 6 13 -> 13 0 18 32 35 19 19 2 4 , 19 21 37 39 2 6 19 -> 13 0 18 32 35 19 19 2 6 , 19 21 37 39 2 6 2 -> 13 0 18 32 35 19 19 2 3 , 19 21 37 39 2 6 7 -> 13 0 18 32 35 19 19 2 9 , 19 21 37 39 2 6 20 -> 13 0 18 32 35 19 19 2 10 , 19 21 37 39 2 6 21 -> 13 0 18 32 35 19 19 2 11 , 19 21 37 39 2 6 22 -> 13 0 18 32 35 19 19 2 12 , 6 21 37 39 2 6 13 -> 4 0 18 32 35 19 19 2 4 , 6 21 37 39 2 6 19 -> 4 0 18 32 35 19 19 2 6 , 6 21 37 39 2 6 2 -> 4 0 18 32 35 19 19 2 3 , 6 21 37 39 2 6 7 -> 4 0 18 32 35 19 19 2 9 , 6 21 37 39 2 6 20 -> 4 0 18 32 35 19 19 2 10 , 6 21 37 39 2 6 21 -> 4 0 18 32 35 19 19 2 11 , 6 21 37 39 2 6 22 -> 4 0 18 32 35 19 19 2 12 , 39 21 37 39 2 6 13 -> 14 0 18 32 35 19 19 2 4 , 39 21 37 39 2 6 19 -> 14 0 18 32 35 19 19 2 6 , 39 21 37 39 2 6 2 -> 14 0 18 32 35 19 19 2 3 , 39 21 37 39 2 6 7 -> 14 0 18 32 35 19 19 2 9 , 39 21 37 39 2 6 20 -> 14 0 18 32 35 19 19 2 10 , 39 21 37 39 2 6 21 -> 14 0 18 32 35 19 19 2 11 , 39 21 37 39 2 6 22 -> 14 0 18 32 35 19 19 2 12 , 24 21 37 39 2 6 13 -> 15 0 18 32 35 19 19 2 4 , 24 21 37 39 2 6 19 -> 15 0 18 32 35 19 19 2 6 , 24 21 37 39 2 6 2 -> 15 0 18 32 35 19 19 2 3 , 24 21 37 39 2 6 7 -> 15 0 18 32 35 19 19 2 9 , 24 21 37 39 2 6 20 -> 15 0 18 32 35 19 19 2 10 , 24 21 37 39 2 6 21 -> 15 0 18 32 35 19 19 2 11 , 24 21 37 39 2 6 22 -> 15 0 18 32 35 19 19 2 12 , 35 21 37 39 2 6 13 -> 16 0 18 32 35 19 19 2 4 , 35 21 37 39 2 6 19 -> 16 0 18 32 35 19 19 2 6 , 35 21 37 39 2 6 2 -> 16 0 18 32 35 19 19 2 3 , 35 21 37 39 2 6 7 -> 16 0 18 32 35 19 19 2 9 , 35 21 37 39 2 6 20 -> 16 0 18 32 35 19 19 2 10 , 35 21 37 39 2 6 21 -> 16 0 18 32 35 19 19 2 11 , 35 21 37 39 2 6 22 -> 16 0 18 32 35 19 19 2 12 , 43 21 37 39 2 6 13 -> 17 0 18 32 35 19 19 2 4 , 43 21 37 39 2 6 19 -> 17 0 18 32 35 19 19 2 6 , 43 21 37 39 2 6 2 -> 17 0 18 32 35 19 19 2 3 , 43 21 37 39 2 6 7 -> 17 0 18 32 35 19 19 2 9 , 43 21 37 39 2 6 20 -> 17 0 18 32 35 19 19 2 10 , 43 21 37 39 2 6 21 -> 17 0 18 32 35 19 19 2 11 , 43 21 37 39 2 6 22 -> 17 0 18 32 35 19 19 2 12 , 1 13 23 33 30 6 13 -> 0 23 41 32 35 19 2 4 , 1 13 23 33 30 6 19 -> 0 23 41 32 35 19 2 6 , 1 13 23 33 30 6 2 -> 0 23 41 32 35 19 2 3 , 1 13 23 33 30 6 7 -> 0 23 41 32 35 19 2 9 , 1 13 23 33 30 6 20 -> 0 23 41 32 35 19 2 10 , 1 13 23 33 30 6 21 -> 0 23 41 32 35 19 2 11 , 1 13 23 33 30 6 22 -> 0 23 41 32 35 19 2 12 , 19 13 23 33 30 6 13 -> 13 23 41 32 35 19 2 4 , 19 13 23 33 30 6 19 -> 13 23 41 32 35 19 2 6 , 19 13 23 33 30 6 2 -> 13 23 41 32 35 19 2 3 , 19 13 23 33 30 6 7 -> 13 23 41 32 35 19 2 9 , 19 13 23 33 30 6 20 -> 13 23 41 32 35 19 2 10 , 19 13 23 33 30 6 21 -> 13 23 41 32 35 19 2 11 , 19 13 23 33 30 6 22 -> 13 23 41 32 35 19 2 12 , 6 13 23 33 30 6 13 -> 4 23 41 32 35 19 2 4 , 6 13 23 33 30 6 19 -> 4 23 41 32 35 19 2 6 , 6 13 23 33 30 6 2 -> 4 23 41 32 35 19 2 3 , 6 13 23 33 30 6 7 -> 4 23 41 32 35 19 2 9 , 6 13 23 33 30 6 20 -> 4 23 41 32 35 19 2 10 , 6 13 23 33 30 6 21 -> 4 23 41 32 35 19 2 11 , 6 13 23 33 30 6 22 -> 4 23 41 32 35 19 2 12 , 39 13 23 33 30 6 13 -> 14 23 41 32 35 19 2 4 , 39 13 23 33 30 6 19 -> 14 23 41 32 35 19 2 6 , 39 13 23 33 30 6 2 -> 14 23 41 32 35 19 2 3 , 39 13 23 33 30 6 7 -> 14 23 41 32 35 19 2 9 , 39 13 23 33 30 6 20 -> 14 23 41 32 35 19 2 10 , 39 13 23 33 30 6 21 -> 14 23 41 32 35 19 2 11 , 39 13 23 33 30 6 22 -> 14 23 41 32 35 19 2 12 , 24 13 23 33 30 6 13 -> 15 23 41 32 35 19 2 4 , 24 13 23 33 30 6 19 -> 15 23 41 32 35 19 2 6 , 24 13 23 33 30 6 2 -> 15 23 41 32 35 19 2 3 , 24 13 23 33 30 6 7 -> 15 23 41 32 35 19 2 9 , 24 13 23 33 30 6 20 -> 15 23 41 32 35 19 2 10 , 24 13 23 33 30 6 21 -> 15 23 41 32 35 19 2 11 , 24 13 23 33 30 6 22 -> 15 23 41 32 35 19 2 12 , 35 13 23 33 30 6 13 -> 16 23 41 32 35 19 2 4 , 35 13 23 33 30 6 19 -> 16 23 41 32 35 19 2 6 , 35 13 23 33 30 6 2 -> 16 23 41 32 35 19 2 3 , 35 13 23 33 30 6 7 -> 16 23 41 32 35 19 2 9 , 35 13 23 33 30 6 20 -> 16 23 41 32 35 19 2 10 , 35 13 23 33 30 6 21 -> 16 23 41 32 35 19 2 11 , 35 13 23 33 30 6 22 -> 16 23 41 32 35 19 2 12 , 43 13 23 33 30 6 13 -> 17 23 41 32 35 19 2 4 , 43 13 23 33 30 6 19 -> 17 23 41 32 35 19 2 6 , 43 13 23 33 30 6 2 -> 17 23 41 32 35 19 2 3 , 43 13 23 33 30 6 7 -> 17 23 41 32 35 19 2 9 , 43 13 23 33 30 6 20 -> 17 23 41 32 35 19 2 10 , 43 13 23 33 30 6 21 -> 17 23 41 32 35 19 2 11 , 43 13 23 33 30 6 22 -> 17 23 41 32 35 19 2 12 , 0 0 1 2 6 19 13 -> 0 0 1 7 39 19 2 6 13 , 0 0 1 2 6 19 19 -> 0 0 1 7 39 19 2 6 19 , 0 0 1 2 6 19 2 -> 0 0 1 7 39 19 2 6 2 , 0 0 1 2 6 19 7 -> 0 0 1 7 39 19 2 6 7 , 0 0 1 2 6 19 20 -> 0 0 1 7 39 19 2 6 20 , 0 0 1 2 6 19 21 -> 0 0 1 7 39 19 2 6 21 , 0 0 1 2 6 19 22 -> 0 0 1 7 39 19 2 6 22 , 13 0 1 2 6 19 13 -> 13 0 1 7 39 19 2 6 13 , 13 0 1 2 6 19 19 -> 13 0 1 7 39 19 2 6 19 , 13 0 1 2 6 19 2 -> 13 0 1 7 39 19 2 6 2 , 13 0 1 2 6 19 7 -> 13 0 1 7 39 19 2 6 7 , 13 0 1 2 6 19 20 -> 13 0 1 7 39 19 2 6 20 , 13 0 1 2 6 19 21 -> 13 0 1 7 39 19 2 6 21 , 13 0 1 2 6 19 22 -> 13 0 1 7 39 19 2 6 22 , 4 0 1 2 6 19 13 -> 4 0 1 7 39 19 2 6 13 , 4 0 1 2 6 19 19 -> 4 0 1 7 39 19 2 6 19 , 4 0 1 2 6 19 2 -> 4 0 1 7 39 19 2 6 2 , 4 0 1 2 6 19 7 -> 4 0 1 7 39 19 2 6 7 , 4 0 1 2 6 19 20 -> 4 0 1 7 39 19 2 6 20 , 4 0 1 2 6 19 21 -> 4 0 1 7 39 19 2 6 21 , 4 0 1 2 6 19 22 -> 4 0 1 7 39 19 2 6 22 , 14 0 1 2 6 19 13 -> 14 0 1 7 39 19 2 6 13 , 14 0 1 2 6 19 19 -> 14 0 1 7 39 19 2 6 19 , 14 0 1 2 6 19 2 -> 14 0 1 7 39 19 2 6 2 , 14 0 1 2 6 19 7 -> 14 0 1 7 39 19 2 6 7 , 14 0 1 2 6 19 20 -> 14 0 1 7 39 19 2 6 20 , 14 0 1 2 6 19 21 -> 14 0 1 7 39 19 2 6 21 , 14 0 1 2 6 19 22 -> 14 0 1 7 39 19 2 6 22 , 15 0 1 2 6 19 13 -> 15 0 1 7 39 19 2 6 13 , 15 0 1 2 6 19 19 -> 15 0 1 7 39 19 2 6 19 , 15 0 1 2 6 19 2 -> 15 0 1 7 39 19 2 6 2 , 15 0 1 2 6 19 7 -> 15 0 1 7 39 19 2 6 7 , 15 0 1 2 6 19 20 -> 15 0 1 7 39 19 2 6 20 , 15 0 1 2 6 19 21 -> 15 0 1 7 39 19 2 6 21 , 15 0 1 2 6 19 22 -> 15 0 1 7 39 19 2 6 22 , 16 0 1 2 6 19 13 -> 16 0 1 7 39 19 2 6 13 , 16 0 1 2 6 19 19 -> 16 0 1 7 39 19 2 6 19 , 16 0 1 2 6 19 2 -> 16 0 1 7 39 19 2 6 2 , 16 0 1 2 6 19 7 -> 16 0 1 7 39 19 2 6 7 , 16 0 1 2 6 19 20 -> 16 0 1 7 39 19 2 6 20 , 16 0 1 2 6 19 21 -> 16 0 1 7 39 19 2 6 21 , 16 0 1 2 6 19 22 -> 16 0 1 7 39 19 2 6 22 , 17 0 1 2 6 19 13 -> 17 0 1 7 39 19 2 6 13 , 17 0 1 2 6 19 19 -> 17 0 1 7 39 19 2 6 19 , 17 0 1 2 6 19 2 -> 17 0 1 7 39 19 2 6 2 , 17 0 1 2 6 19 7 -> 17 0 1 7 39 19 2 6 7 , 17 0 1 2 6 19 20 -> 17 0 1 7 39 19 2 6 20 , 17 0 1 2 6 19 21 -> 17 0 1 7 39 19 2 6 21 , 17 0 1 2 6 19 22 -> 17 0 1 7 39 19 2 6 22 , 5 3 4 1 13 1 13 -> 1 2 6 13 0 18 8 4 , 5 3 4 1 13 1 19 -> 1 2 6 13 0 18 8 6 , 5 3 4 1 13 1 2 -> 1 2 6 13 0 18 8 3 , 5 3 4 1 13 1 7 -> 1 2 6 13 0 18 8 9 , 5 3 4 1 13 1 20 -> 1 2 6 13 0 18 8 10 , 5 3 4 1 13 1 21 -> 1 2 6 13 0 18 8 11 , 5 3 4 1 13 1 22 -> 1 2 6 13 0 18 8 12 , 2 3 4 1 13 1 13 -> 19 2 6 13 0 18 8 4 , 2 3 4 1 13 1 19 -> 19 2 6 13 0 18 8 6 , 2 3 4 1 13 1 2 -> 19 2 6 13 0 18 8 3 , 2 3 4 1 13 1 7 -> 19 2 6 13 0 18 8 9 , 2 3 4 1 13 1 20 -> 19 2 6 13 0 18 8 10 , 2 3 4 1 13 1 21 -> 19 2 6 13 0 18 8 11 , 2 3 4 1 13 1 22 -> 19 2 6 13 0 18 8 12 , 3 3 4 1 13 1 13 -> 6 2 6 13 0 18 8 4 , 3 3 4 1 13 1 19 -> 6 2 6 13 0 18 8 6 , 3 3 4 1 13 1 2 -> 6 2 6 13 0 18 8 3 , 3 3 4 1 13 1 7 -> 6 2 6 13 0 18 8 9 , 3 3 4 1 13 1 20 -> 6 2 6 13 0 18 8 10 , 3 3 4 1 13 1 21 -> 6 2 6 13 0 18 8 11 , 3 3 4 1 13 1 22 -> 6 2 6 13 0 18 8 12 , 8 3 4 1 13 1 13 -> 39 2 6 13 0 18 8 4 , 8 3 4 1 13 1 19 -> 39 2 6 13 0 18 8 6 , 8 3 4 1 13 1 2 -> 39 2 6 13 0 18 8 3 , 8 3 4 1 13 1 7 -> 39 2 6 13 0 18 8 9 , 8 3 4 1 13 1 20 -> 39 2 6 13 0 18 8 10 , 8 3 4 1 13 1 21 -> 39 2 6 13 0 18 8 11 , 8 3 4 1 13 1 22 -> 39 2 6 13 0 18 8 12 , 36 3 4 1 13 1 13 -> 24 2 6 13 0 18 8 4 , 36 3 4 1 13 1 19 -> 24 2 6 13 0 18 8 6 , 36 3 4 1 13 1 2 -> 24 2 6 13 0 18 8 3 , 36 3 4 1 13 1 7 -> 24 2 6 13 0 18 8 9 , 36 3 4 1 13 1 20 -> 24 2 6 13 0 18 8 10 , 36 3 4 1 13 1 21 -> 24 2 6 13 0 18 8 11 , 36 3 4 1 13 1 22 -> 24 2 6 13 0 18 8 12 , 30 3 4 1 13 1 13 -> 35 2 6 13 0 18 8 4 , 30 3 4 1 13 1 19 -> 35 2 6 13 0 18 8 6 , 30 3 4 1 13 1 2 -> 35 2 6 13 0 18 8 3 , 30 3 4 1 13 1 7 -> 35 2 6 13 0 18 8 9 , 30 3 4 1 13 1 20 -> 35 2 6 13 0 18 8 10 , 30 3 4 1 13 1 21 -> 35 2 6 13 0 18 8 11 , 30 3 4 1 13 1 22 -> 35 2 6 13 0 18 8 12 , 45 3 4 1 13 1 13 -> 43 2 6 13 0 18 8 4 , 45 3 4 1 13 1 19 -> 43 2 6 13 0 18 8 6 , 45 3 4 1 13 1 2 -> 43 2 6 13 0 18 8 3 , 45 3 4 1 13 1 7 -> 43 2 6 13 0 18 8 9 , 45 3 4 1 13 1 20 -> 43 2 6 13 0 18 8 10 , 45 3 4 1 13 1 21 -> 43 2 6 13 0 18 8 11 , 45 3 4 1 13 1 22 -> 43 2 6 13 0 18 8 12 , 29 30 3 6 20 24 13 -> 1 13 23 33 35 2 3 4 , 29 30 3 6 20 24 19 -> 1 13 23 33 35 2 3 6 , 29 30 3 6 20 24 2 -> 1 13 23 33 35 2 3 3 , 29 30 3 6 20 24 7 -> 1 13 23 33 35 2 3 9 , 29 30 3 6 20 24 20 -> 1 13 23 33 35 2 3 10 , 29 30 3 6 20 24 21 -> 1 13 23 33 35 2 3 11 , 29 30 3 6 20 24 22 -> 1 13 23 33 35 2 3 12 , 21 30 3 6 20 24 13 -> 19 13 23 33 35 2 3 4 , 21 30 3 6 20 24 19 -> 19 13 23 33 35 2 3 6 , 21 30 3 6 20 24 2 -> 19 13 23 33 35 2 3 3 , 21 30 3 6 20 24 7 -> 19 13 23 33 35 2 3 9 , 21 30 3 6 20 24 20 -> 19 13 23 33 35 2 3 10 , 21 30 3 6 20 24 21 -> 19 13 23 33 35 2 3 11 , 21 30 3 6 20 24 22 -> 19 13 23 33 35 2 3 12 , 11 30 3 6 20 24 13 -> 6 13 23 33 35 2 3 4 , 11 30 3 6 20 24 19 -> 6 13 23 33 35 2 3 6 , 11 30 3 6 20 24 2 -> 6 13 23 33 35 2 3 3 , 11 30 3 6 20 24 7 -> 6 13 23 33 35 2 3 9 , 11 30 3 6 20 24 20 -> 6 13 23 33 35 2 3 10 , 11 30 3 6 20 24 21 -> 6 13 23 33 35 2 3 11 , 11 30 3 6 20 24 22 -> 6 13 23 33 35 2 3 12 , 32 30 3 6 20 24 13 -> 39 13 23 33 35 2 3 4 , 32 30 3 6 20 24 19 -> 39 13 23 33 35 2 3 6 , 32 30 3 6 20 24 2 -> 39 13 23 33 35 2 3 3 , 32 30 3 6 20 24 7 -> 39 13 23 33 35 2 3 9 , 32 30 3 6 20 24 20 -> 39 13 23 33 35 2 3 10 , 32 30 3 6 20 24 21 -> 39 13 23 33 35 2 3 11 , 32 30 3 6 20 24 22 -> 39 13 23 33 35 2 3 12 , 33 30 3 6 20 24 13 -> 24 13 23 33 35 2 3 4 , 33 30 3 6 20 24 19 -> 24 13 23 33 35 2 3 6 , 33 30 3 6 20 24 2 -> 24 13 23 33 35 2 3 3 , 33 30 3 6 20 24 7 -> 24 13 23 33 35 2 3 9 , 33 30 3 6 20 24 20 -> 24 13 23 33 35 2 3 10 , 33 30 3 6 20 24 21 -> 24 13 23 33 35 2 3 11 , 33 30 3 6 20 24 22 -> 24 13 23 33 35 2 3 12 , 31 30 3 6 20 24 13 -> 35 13 23 33 35 2 3 4 , 31 30 3 6 20 24 19 -> 35 13 23 33 35 2 3 6 , 31 30 3 6 20 24 2 -> 35 13 23 33 35 2 3 3 , 31 30 3 6 20 24 7 -> 35 13 23 33 35 2 3 9 , 31 30 3 6 20 24 20 -> 35 13 23 33 35 2 3 10 , 31 30 3 6 20 24 21 -> 35 13 23 33 35 2 3 11 , 31 30 3 6 20 24 22 -> 35 13 23 33 35 2 3 12 , 34 30 3 6 20 24 13 -> 43 13 23 33 35 2 3 4 , 34 30 3 6 20 24 19 -> 43 13 23 33 35 2 3 6 , 34 30 3 6 20 24 2 -> 43 13 23 33 35 2 3 3 , 34 30 3 6 20 24 7 -> 43 13 23 33 35 2 3 9 , 34 30 3 6 20 24 20 -> 43 13 23 33 35 2 3 10 , 34 30 3 6 20 24 21 -> 43 13 23 33 35 2 3 11 , 34 30 3 6 20 24 22 -> 43 13 23 33 35 2 3 12 , 0 5 11 37 25 24 13 -> 23 33 35 13 18 40 8 4 , 0 5 11 37 25 24 19 -> 23 33 35 13 18 40 8 6 , 0 5 11 37 25 24 2 -> 23 33 35 13 18 40 8 3 , 0 5 11 37 25 24 7 -> 23 33 35 13 18 40 8 9 , 0 5 11 37 25 24 20 -> 23 33 35 13 18 40 8 10 , 0 5 11 37 25 24 21 -> 23 33 35 13 18 40 8 11 , 0 5 11 37 25 24 22 -> 23 33 35 13 18 40 8 12 , 13 5 11 37 25 24 13 -> 20 33 35 13 18 40 8 4 , 13 5 11 37 25 24 19 -> 20 33 35 13 18 40 8 6 , 13 5 11 37 25 24 2 -> 20 33 35 13 18 40 8 3 , 13 5 11 37 25 24 7 -> 20 33 35 13 18 40 8 9 , 13 5 11 37 25 24 20 -> 20 33 35 13 18 40 8 10 , 13 5 11 37 25 24 21 -> 20 33 35 13 18 40 8 11 , 13 5 11 37 25 24 22 -> 20 33 35 13 18 40 8 12 , 4 5 11 37 25 24 13 -> 10 33 35 13 18 40 8 4 , 4 5 11 37 25 24 19 -> 10 33 35 13 18 40 8 6 , 4 5 11 37 25 24 2 -> 10 33 35 13 18 40 8 3 , 4 5 11 37 25 24 7 -> 10 33 35 13 18 40 8 9 , 4 5 11 37 25 24 20 -> 10 33 35 13 18 40 8 10 , 4 5 11 37 25 24 21 -> 10 33 35 13 18 40 8 11 , 4 5 11 37 25 24 22 -> 10 33 35 13 18 40 8 12 , 14 5 11 37 25 24 13 -> 25 33 35 13 18 40 8 4 , 14 5 11 37 25 24 19 -> 25 33 35 13 18 40 8 6 , 14 5 11 37 25 24 2 -> 25 33 35 13 18 40 8 3 , 14 5 11 37 25 24 7 -> 25 33 35 13 18 40 8 9 , 14 5 11 37 25 24 20 -> 25 33 35 13 18 40 8 10 , 14 5 11 37 25 24 21 -> 25 33 35 13 18 40 8 11 , 14 5 11 37 25 24 22 -> 25 33 35 13 18 40 8 12 , 15 5 11 37 25 24 13 -> 26 33 35 13 18 40 8 4 , 15 5 11 37 25 24 19 -> 26 33 35 13 18 40 8 6 , 15 5 11 37 25 24 2 -> 26 33 35 13 18 40 8 3 , 15 5 11 37 25 24 7 -> 26 33 35 13 18 40 8 9 , 15 5 11 37 25 24 20 -> 26 33 35 13 18 40 8 10 , 15 5 11 37 25 24 21 -> 26 33 35 13 18 40 8 11 , 15 5 11 37 25 24 22 -> 26 33 35 13 18 40 8 12 , 16 5 11 37 25 24 13 -> 27 33 35 13 18 40 8 4 , 16 5 11 37 25 24 19 -> 27 33 35 13 18 40 8 6 , 16 5 11 37 25 24 2 -> 27 33 35 13 18 40 8 3 , 16 5 11 37 25 24 7 -> 27 33 35 13 18 40 8 9 , 16 5 11 37 25 24 20 -> 27 33 35 13 18 40 8 10 , 16 5 11 37 25 24 21 -> 27 33 35 13 18 40 8 11 , 16 5 11 37 25 24 22 -> 27 33 35 13 18 40 8 12 , 17 5 11 37 25 24 13 -> 28 33 35 13 18 40 8 4 , 17 5 11 37 25 24 19 -> 28 33 35 13 18 40 8 6 , 17 5 11 37 25 24 2 -> 28 33 35 13 18 40 8 3 , 17 5 11 37 25 24 7 -> 28 33 35 13 18 40 8 9 , 17 5 11 37 25 24 20 -> 28 33 35 13 18 40 8 10 , 17 5 11 37 25 24 21 -> 28 33 35 13 18 40 8 11 , 17 5 11 37 25 24 22 -> 28 33 35 13 18 40 8 12 , 29 31 37 14 1 2 3 4 -> 1 13 5 9 8 11 35 21 16 , 29 31 37 14 1 2 3 6 -> 1 13 5 9 8 11 35 21 35 , 29 31 37 14 1 2 3 3 -> 1 13 5 9 8 11 35 21 30 , 29 31 37 14 1 2 3 9 -> 1 13 5 9 8 11 35 21 37 , 29 31 37 14 1 2 3 10 -> 1 13 5 9 8 11 35 21 27 , 29 31 37 14 1 2 3 11 -> 1 13 5 9 8 11 35 21 31 , 29 31 37 14 1 2 3 12 -> 1 13 5 9 8 11 35 21 38 , 21 31 37 14 1 2 3 4 -> 19 13 5 9 8 11 35 21 16 , 21 31 37 14 1 2 3 6 -> 19 13 5 9 8 11 35 21 35 , 21 31 37 14 1 2 3 3 -> 19 13 5 9 8 11 35 21 30 , 21 31 37 14 1 2 3 9 -> 19 13 5 9 8 11 35 21 37 , 21 31 37 14 1 2 3 10 -> 19 13 5 9 8 11 35 21 27 , 21 31 37 14 1 2 3 11 -> 19 13 5 9 8 11 35 21 31 , 21 31 37 14 1 2 3 12 -> 19 13 5 9 8 11 35 21 38 , 11 31 37 14 1 2 3 4 -> 6 13 5 9 8 11 35 21 16 , 11 31 37 14 1 2 3 6 -> 6 13 5 9 8 11 35 21 35 , 11 31 37 14 1 2 3 3 -> 6 13 5 9 8 11 35 21 30 , 11 31 37 14 1 2 3 9 -> 6 13 5 9 8 11 35 21 37 , 11 31 37 14 1 2 3 10 -> 6 13 5 9 8 11 35 21 27 , 11 31 37 14 1 2 3 11 -> 6 13 5 9 8 11 35 21 31 , 11 31 37 14 1 2 3 12 -> 6 13 5 9 8 11 35 21 38 , 32 31 37 14 1 2 3 4 -> 39 13 5 9 8 11 35 21 16 , 32 31 37 14 1 2 3 6 -> 39 13 5 9 8 11 35 21 35 , 32 31 37 14 1 2 3 3 -> 39 13 5 9 8 11 35 21 30 , 32 31 37 14 1 2 3 9 -> 39 13 5 9 8 11 35 21 37 , 32 31 37 14 1 2 3 10 -> 39 13 5 9 8 11 35 21 27 , 32 31 37 14 1 2 3 11 -> 39 13 5 9 8 11 35 21 31 , 32 31 37 14 1 2 3 12 -> 39 13 5 9 8 11 35 21 38 , 33 31 37 14 1 2 3 4 -> 24 13 5 9 8 11 35 21 16 , 33 31 37 14 1 2 3 6 -> 24 13 5 9 8 11 35 21 35 , 33 31 37 14 1 2 3 3 -> 24 13 5 9 8 11 35 21 30 , 33 31 37 14 1 2 3 9 -> 24 13 5 9 8 11 35 21 37 , 33 31 37 14 1 2 3 10 -> 24 13 5 9 8 11 35 21 27 , 33 31 37 14 1 2 3 11 -> 24 13 5 9 8 11 35 21 31 , 33 31 37 14 1 2 3 12 -> 24 13 5 9 8 11 35 21 38 , 31 31 37 14 1 2 3 4 -> 35 13 5 9 8 11 35 21 16 , 31 31 37 14 1 2 3 6 -> 35 13 5 9 8 11 35 21 35 , 31 31 37 14 1 2 3 3 -> 35 13 5 9 8 11 35 21 30 , 31 31 37 14 1 2 3 9 -> 35 13 5 9 8 11 35 21 37 , 31 31 37 14 1 2 3 10 -> 35 13 5 9 8 11 35 21 27 , 31 31 37 14 1 2 3 11 -> 35 13 5 9 8 11 35 21 31 , 31 31 37 14 1 2 3 12 -> 35 13 5 9 8 11 35 21 38 , 34 31 37 14 1 2 3 4 -> 43 13 5 9 8 11 35 21 16 , 34 31 37 14 1 2 3 6 -> 43 13 5 9 8 11 35 21 35 , 34 31 37 14 1 2 3 3 -> 43 13 5 9 8 11 35 21 30 , 34 31 37 14 1 2 3 9 -> 43 13 5 9 8 11 35 21 37 , 34 31 37 14 1 2 3 10 -> 43 13 5 9 8 11 35 21 27 , 34 31 37 14 1 2 3 11 -> 43 13 5 9 8 11 35 21 31 , 34 31 37 14 1 2 3 12 -> 43 13 5 9 8 11 35 21 38 , 1 13 23 41 14 5 3 4 -> 0 18 14 18 39 20 36 3 4 , 1 13 23 41 14 5 3 6 -> 0 18 14 18 39 20 36 3 6 , 1 13 23 41 14 5 3 3 -> 0 18 14 18 39 20 36 3 3 , 1 13 23 41 14 5 3 9 -> 0 18 14 18 39 20 36 3 9 , 1 13 23 41 14 5 3 10 -> 0 18 14 18 39 20 36 3 10 , 1 13 23 41 14 5 3 11 -> 0 18 14 18 39 20 36 3 11 , 1 13 23 41 14 5 3 12 -> 0 18 14 18 39 20 36 3 12 , 19 13 23 41 14 5 3 4 -> 13 18 14 18 39 20 36 3 4 , 19 13 23 41 14 5 3 6 -> 13 18 14 18 39 20 36 3 6 , 19 13 23 41 14 5 3 3 -> 13 18 14 18 39 20 36 3 3 , 19 13 23 41 14 5 3 9 -> 13 18 14 18 39 20 36 3 9 , 19 13 23 41 14 5 3 10 -> 13 18 14 18 39 20 36 3 10 , 19 13 23 41 14 5 3 11 -> 13 18 14 18 39 20 36 3 11 , 19 13 23 41 14 5 3 12 -> 13 18 14 18 39 20 36 3 12 , 6 13 23 41 14 5 3 4 -> 4 18 14 18 39 20 36 3 4 , 6 13 23 41 14 5 3 6 -> 4 18 14 18 39 20 36 3 6 , 6 13 23 41 14 5 3 3 -> 4 18 14 18 39 20 36 3 3 , 6 13 23 41 14 5 3 9 -> 4 18 14 18 39 20 36 3 9 , 6 13 23 41 14 5 3 10 -> 4 18 14 18 39 20 36 3 10 , 6 13 23 41 14 5 3 11 -> 4 18 14 18 39 20 36 3 11 , 6 13 23 41 14 5 3 12 -> 4 18 14 18 39 20 36 3 12 , 39 13 23 41 14 5 3 4 -> 14 18 14 18 39 20 36 3 4 , 39 13 23 41 14 5 3 6 -> 14 18 14 18 39 20 36 3 6 , 39 13 23 41 14 5 3 3 -> 14 18 14 18 39 20 36 3 3 , 39 13 23 41 14 5 3 9 -> 14 18 14 18 39 20 36 3 9 , 39 13 23 41 14 5 3 10 -> 14 18 14 18 39 20 36 3 10 , 39 13 23 41 14 5 3 11 -> 14 18 14 18 39 20 36 3 11 , 39 13 23 41 14 5 3 12 -> 14 18 14 18 39 20 36 3 12 , 24 13 23 41 14 5 3 4 -> 15 18 14 18 39 20 36 3 4 , 24 13 23 41 14 5 3 6 -> 15 18 14 18 39 20 36 3 6 , 24 13 23 41 14 5 3 3 -> 15 18 14 18 39 20 36 3 3 , 24 13 23 41 14 5 3 9 -> 15 18 14 18 39 20 36 3 9 , 24 13 23 41 14 5 3 10 -> 15 18 14 18 39 20 36 3 10 , 24 13 23 41 14 5 3 11 -> 15 18 14 18 39 20 36 3 11 , 24 13 23 41 14 5 3 12 -> 15 18 14 18 39 20 36 3 12 , 35 13 23 41 14 5 3 4 -> 16 18 14 18 39 20 36 3 4 , 35 13 23 41 14 5 3 6 -> 16 18 14 18 39 20 36 3 6 , 35 13 23 41 14 5 3 3 -> 16 18 14 18 39 20 36 3 3 , 35 13 23 41 14 5 3 9 -> 16 18 14 18 39 20 36 3 9 , 35 13 23 41 14 5 3 10 -> 16 18 14 18 39 20 36 3 10 , 35 13 23 41 14 5 3 11 -> 16 18 14 18 39 20 36 3 11 , 35 13 23 41 14 5 3 12 -> 16 18 14 18 39 20 36 3 12 , 43 13 23 41 14 5 3 4 -> 17 18 14 18 39 20 36 3 4 , 43 13 23 41 14 5 3 6 -> 17 18 14 18 39 20 36 3 6 , 43 13 23 41 14 5 3 3 -> 17 18 14 18 39 20 36 3 3 , 43 13 23 41 14 5 3 9 -> 17 18 14 18 39 20 36 3 9 , 43 13 23 41 14 5 3 10 -> 17 18 14 18 39 20 36 3 10 , 43 13 23 41 14 5 3 11 -> 17 18 14 18 39 20 36 3 11 , 43 13 23 41 14 5 3 12 -> 17 18 14 18 39 20 36 3 12 , 23 41 32 30 3 6 2 4 -> 1 7 25 36 11 30 9 8 4 , 23 41 32 30 3 6 2 6 -> 1 7 25 36 11 30 9 8 6 , 23 41 32 30 3 6 2 3 -> 1 7 25 36 11 30 9 8 3 , 23 41 32 30 3 6 2 9 -> 1 7 25 36 11 30 9 8 9 , 23 41 32 30 3 6 2 10 -> 1 7 25 36 11 30 9 8 10 , 23 41 32 30 3 6 2 11 -> 1 7 25 36 11 30 9 8 11 , 23 41 32 30 3 6 2 12 -> 1 7 25 36 11 30 9 8 12 , 20 41 32 30 3 6 2 4 -> 19 7 25 36 11 30 9 8 4 , 20 41 32 30 3 6 2 6 -> 19 7 25 36 11 30 9 8 6 , 20 41 32 30 3 6 2 3 -> 19 7 25 36 11 30 9 8 3 , 20 41 32 30 3 6 2 9 -> 19 7 25 36 11 30 9 8 9 , 20 41 32 30 3 6 2 10 -> 19 7 25 36 11 30 9 8 10 , 20 41 32 30 3 6 2 11 -> 19 7 25 36 11 30 9 8 11 , 20 41 32 30 3 6 2 12 -> 19 7 25 36 11 30 9 8 12 , 10 41 32 30 3 6 2 4 -> 6 7 25 36 11 30 9 8 4 , 10 41 32 30 3 6 2 6 -> 6 7 25 36 11 30 9 8 6 , 10 41 32 30 3 6 2 3 -> 6 7 25 36 11 30 9 8 3 , 10 41 32 30 3 6 2 9 -> 6 7 25 36 11 30 9 8 9 , 10 41 32 30 3 6 2 10 -> 6 7 25 36 11 30 9 8 10 , 10 41 32 30 3 6 2 11 -> 6 7 25 36 11 30 9 8 11 , 10 41 32 30 3 6 2 12 -> 6 7 25 36 11 30 9 8 12 , 25 41 32 30 3 6 2 4 -> 39 7 25 36 11 30 9 8 4 , 25 41 32 30 3 6 2 6 -> 39 7 25 36 11 30 9 8 6 , 25 41 32 30 3 6 2 3 -> 39 7 25 36 11 30 9 8 3 , 25 41 32 30 3 6 2 9 -> 39 7 25 36 11 30 9 8 9 , 25 41 32 30 3 6 2 10 -> 39 7 25 36 11 30 9 8 10 , 25 41 32 30 3 6 2 11 -> 39 7 25 36 11 30 9 8 11 , 25 41 32 30 3 6 2 12 -> 39 7 25 36 11 30 9 8 12 , 26 41 32 30 3 6 2 4 -> 24 7 25 36 11 30 9 8 4 , 26 41 32 30 3 6 2 6 -> 24 7 25 36 11 30 9 8 6 , 26 41 32 30 3 6 2 3 -> 24 7 25 36 11 30 9 8 3 , 26 41 32 30 3 6 2 9 -> 24 7 25 36 11 30 9 8 9 , 26 41 32 30 3 6 2 10 -> 24 7 25 36 11 30 9 8 10 , 26 41 32 30 3 6 2 11 -> 24 7 25 36 11 30 9 8 11 , 26 41 32 30 3 6 2 12 -> 24 7 25 36 11 30 9 8 12 , 27 41 32 30 3 6 2 4 -> 35 7 25 36 11 30 9 8 4 , 27 41 32 30 3 6 2 6 -> 35 7 25 36 11 30 9 8 6 , 27 41 32 30 3 6 2 3 -> 35 7 25 36 11 30 9 8 3 , 27 41 32 30 3 6 2 9 -> 35 7 25 36 11 30 9 8 9 , 27 41 32 30 3 6 2 10 -> 35 7 25 36 11 30 9 8 10 , 27 41 32 30 3 6 2 11 -> 35 7 25 36 11 30 9 8 11 , 27 41 32 30 3 6 2 12 -> 35 7 25 36 11 30 9 8 12 , 28 41 32 30 3 6 2 4 -> 43 7 25 36 11 30 9 8 4 , 28 41 32 30 3 6 2 6 -> 43 7 25 36 11 30 9 8 6 , 28 41 32 30 3 6 2 3 -> 43 7 25 36 11 30 9 8 3 , 28 41 32 30 3 6 2 9 -> 43 7 25 36 11 30 9 8 9 , 28 41 32 30 3 6 2 10 -> 43 7 25 36 11 30 9 8 10 , 28 41 32 30 3 6 2 11 -> 43 7 25 36 11 30 9 8 11 , 28 41 32 30 3 6 2 12 -> 43 7 25 36 11 30 9 8 12 , 29 30 10 26 15 1 2 4 -> 23 15 18 8 6 2 10 33 16 , 29 30 10 26 15 1 2 6 -> 23 15 18 8 6 2 10 33 35 , 29 30 10 26 15 1 2 3 -> 23 15 18 8 6 2 10 33 30 , 29 30 10 26 15 1 2 9 -> 23 15 18 8 6 2 10 33 37 , 29 30 10 26 15 1 2 10 -> 23 15 18 8 6 2 10 33 27 , 29 30 10 26 15 1 2 11 -> 23 15 18 8 6 2 10 33 31 , 29 30 10 26 15 1 2 12 -> 23 15 18 8 6 2 10 33 38 , 21 30 10 26 15 1 2 4 -> 20 15 18 8 6 2 10 33 16 , 21 30 10 26 15 1 2 6 -> 20 15 18 8 6 2 10 33 35 , 21 30 10 26 15 1 2 3 -> 20 15 18 8 6 2 10 33 30 , 21 30 10 26 15 1 2 9 -> 20 15 18 8 6 2 10 33 37 , 21 30 10 26 15 1 2 10 -> 20 15 18 8 6 2 10 33 27 , 21 30 10 26 15 1 2 11 -> 20 15 18 8 6 2 10 33 31 , 21 30 10 26 15 1 2 12 -> 20 15 18 8 6 2 10 33 38 , 11 30 10 26 15 1 2 4 -> 10 15 18 8 6 2 10 33 16 , 11 30 10 26 15 1 2 6 -> 10 15 18 8 6 2 10 33 35 , 11 30 10 26 15 1 2 3 -> 10 15 18 8 6 2 10 33 30 , 11 30 10 26 15 1 2 9 -> 10 15 18 8 6 2 10 33 37 , 11 30 10 26 15 1 2 10 -> 10 15 18 8 6 2 10 33 27 , 11 30 10 26 15 1 2 11 -> 10 15 18 8 6 2 10 33 31 , 11 30 10 26 15 1 2 12 -> 10 15 18 8 6 2 10 33 38 , 32 30 10 26 15 1 2 4 -> 25 15 18 8 6 2 10 33 16 , 32 30 10 26 15 1 2 6 -> 25 15 18 8 6 2 10 33 35 , 32 30 10 26 15 1 2 3 -> 25 15 18 8 6 2 10 33 30 , 32 30 10 26 15 1 2 9 -> 25 15 18 8 6 2 10 33 37 , 32 30 10 26 15 1 2 10 -> 25 15 18 8 6 2 10 33 27 , 32 30 10 26 15 1 2 11 -> 25 15 18 8 6 2 10 33 31 , 32 30 10 26 15 1 2 12 -> 25 15 18 8 6 2 10 33 38 , 33 30 10 26 15 1 2 4 -> 26 15 18 8 6 2 10 33 16 , 33 30 10 26 15 1 2 6 -> 26 15 18 8 6 2 10 33 35 , 33 30 10 26 15 1 2 3 -> 26 15 18 8 6 2 10 33 30 , 33 30 10 26 15 1 2 9 -> 26 15 18 8 6 2 10 33 37 , 33 30 10 26 15 1 2 10 -> 26 15 18 8 6 2 10 33 27 , 33 30 10 26 15 1 2 11 -> 26 15 18 8 6 2 10 33 31 , 33 30 10 26 15 1 2 12 -> 26 15 18 8 6 2 10 33 38 , 31 30 10 26 15 1 2 4 -> 27 15 18 8 6 2 10 33 16 , 31 30 10 26 15 1 2 6 -> 27 15 18 8 6 2 10 33 35 , 31 30 10 26 15 1 2 3 -> 27 15 18 8 6 2 10 33 30 , 31 30 10 26 15 1 2 9 -> 27 15 18 8 6 2 10 33 37 , 31 30 10 26 15 1 2 10 -> 27 15 18 8 6 2 10 33 27 , 31 30 10 26 15 1 2 11 -> 27 15 18 8 6 2 10 33 31 , 31 30 10 26 15 1 2 12 -> 27 15 18 8 6 2 10 33 38 , 34 30 10 26 15 1 2 4 -> 28 15 18 8 6 2 10 33 16 , 34 30 10 26 15 1 2 6 -> 28 15 18 8 6 2 10 33 35 , 34 30 10 26 15 1 2 3 -> 28 15 18 8 6 2 10 33 30 , 34 30 10 26 15 1 2 9 -> 28 15 18 8 6 2 10 33 37 , 34 30 10 26 15 1 2 10 -> 28 15 18 8 6 2 10 33 27 , 34 30 10 26 15 1 2 11 -> 28 15 18 8 6 2 10 33 31 , 34 30 10 26 15 1 2 12 -> 28 15 18 8 6 2 10 33 38 , 23 41 39 21 16 29 30 4 -> 29 35 7 8 4 29 27 24 13 , 23 41 39 21 16 29 30 6 -> 29 35 7 8 4 29 27 24 19 , 23 41 39 21 16 29 30 3 -> 29 35 7 8 4 29 27 24 2 , 23 41 39 21 16 29 30 9 -> 29 35 7 8 4 29 27 24 7 , 23 41 39 21 16 29 30 10 -> 29 35 7 8 4 29 27 24 20 , 23 41 39 21 16 29 30 11 -> 29 35 7 8 4 29 27 24 21 , 23 41 39 21 16 29 30 12 -> 29 35 7 8 4 29 27 24 22 , 20 41 39 21 16 29 30 4 -> 21 35 7 8 4 29 27 24 13 , 20 41 39 21 16 29 30 6 -> 21 35 7 8 4 29 27 24 19 , 20 41 39 21 16 29 30 3 -> 21 35 7 8 4 29 27 24 2 , 20 41 39 21 16 29 30 9 -> 21 35 7 8 4 29 27 24 7 , 20 41 39 21 16 29 30 10 -> 21 35 7 8 4 29 27 24 20 , 20 41 39 21 16 29 30 11 -> 21 35 7 8 4 29 27 24 21 , 20 41 39 21 16 29 30 12 -> 21 35 7 8 4 29 27 24 22 , 10 41 39 21 16 29 30 4 -> 11 35 7 8 4 29 27 24 13 , 10 41 39 21 16 29 30 6 -> 11 35 7 8 4 29 27 24 19 , 10 41 39 21 16 29 30 3 -> 11 35 7 8 4 29 27 24 2 , 10 41 39 21 16 29 30 9 -> 11 35 7 8 4 29 27 24 7 , 10 41 39 21 16 29 30 10 -> 11 35 7 8 4 29 27 24 20 , 10 41 39 21 16 29 30 11 -> 11 35 7 8 4 29 27 24 21 , 10 41 39 21 16 29 30 12 -> 11 35 7 8 4 29 27 24 22 , 25 41 39 21 16 29 30 4 -> 32 35 7 8 4 29 27 24 13 , 25 41 39 21 16 29 30 6 -> 32 35 7 8 4 29 27 24 19 , 25 41 39 21 16 29 30 3 -> 32 35 7 8 4 29 27 24 2 , 25 41 39 21 16 29 30 9 -> 32 35 7 8 4 29 27 24 7 , 25 41 39 21 16 29 30 10 -> 32 35 7 8 4 29 27 24 20 , 25 41 39 21 16 29 30 11 -> 32 35 7 8 4 29 27 24 21 , 25 41 39 21 16 29 30 12 -> 32 35 7 8 4 29 27 24 22 , 26 41 39 21 16 29 30 4 -> 33 35 7 8 4 29 27 24 13 , 26 41 39 21 16 29 30 6 -> 33 35 7 8 4 29 27 24 19 , 26 41 39 21 16 29 30 3 -> 33 35 7 8 4 29 27 24 2 , 26 41 39 21 16 29 30 9 -> 33 35 7 8 4 29 27 24 7 , 26 41 39 21 16 29 30 10 -> 33 35 7 8 4 29 27 24 20 , 26 41 39 21 16 29 30 11 -> 33 35 7 8 4 29 27 24 21 , 26 41 39 21 16 29 30 12 -> 33 35 7 8 4 29 27 24 22 , 27 41 39 21 16 29 30 4 -> 31 35 7 8 4 29 27 24 13 , 27 41 39 21 16 29 30 6 -> 31 35 7 8 4 29 27 24 19 , 27 41 39 21 16 29 30 3 -> 31 35 7 8 4 29 27 24 2 , 27 41 39 21 16 29 30 9 -> 31 35 7 8 4 29 27 24 7 , 27 41 39 21 16 29 30 10 -> 31 35 7 8 4 29 27 24 20 , 27 41 39 21 16 29 30 11 -> 31 35 7 8 4 29 27 24 21 , 27 41 39 21 16 29 30 12 -> 31 35 7 8 4 29 27 24 22 , 28 41 39 21 16 29 30 4 -> 34 35 7 8 4 29 27 24 13 , 28 41 39 21 16 29 30 6 -> 34 35 7 8 4 29 27 24 19 , 28 41 39 21 16 29 30 3 -> 34 35 7 8 4 29 27 24 2 , 28 41 39 21 16 29 30 9 -> 34 35 7 8 4 29 27 24 7 , 28 41 39 21 16 29 30 10 -> 34 35 7 8 4 29 27 24 20 , 28 41 39 21 16 29 30 11 -> 34 35 7 8 4 29 27 24 21 , 28 41 39 21 16 29 30 12 -> 34 35 7 8 4 29 27 24 22 , 1 21 16 5 11 31 30 4 -> 29 16 29 35 2 3 9 32 16 , 1 21 16 5 11 31 30 6 -> 29 16 29 35 2 3 9 32 35 , 1 21 16 5 11 31 30 3 -> 29 16 29 35 2 3 9 32 30 , 1 21 16 5 11 31 30 9 -> 29 16 29 35 2 3 9 32 37 , 1 21 16 5 11 31 30 10 -> 29 16 29 35 2 3 9 32 27 , 1 21 16 5 11 31 30 11 -> 29 16 29 35 2 3 9 32 31 , 1 21 16 5 11 31 30 12 -> 29 16 29 35 2 3 9 32 38 , 19 21 16 5 11 31 30 4 -> 21 16 29 35 2 3 9 32 16 , 19 21 16 5 11 31 30 6 -> 21 16 29 35 2 3 9 32 35 , 19 21 16 5 11 31 30 3 -> 21 16 29 35 2 3 9 32 30 , 19 21 16 5 11 31 30 9 -> 21 16 29 35 2 3 9 32 37 , 19 21 16 5 11 31 30 10 -> 21 16 29 35 2 3 9 32 27 , 19 21 16 5 11 31 30 11 -> 21 16 29 35 2 3 9 32 31 , 19 21 16 5 11 31 30 12 -> 21 16 29 35 2 3 9 32 38 , 6 21 16 5 11 31 30 4 -> 11 16 29 35 2 3 9 32 16 , 6 21 16 5 11 31 30 6 -> 11 16 29 35 2 3 9 32 35 , 6 21 16 5 11 31 30 3 -> 11 16 29 35 2 3 9 32 30 , 6 21 16 5 11 31 30 9 -> 11 16 29 35 2 3 9 32 37 , 6 21 16 5 11 31 30 10 -> 11 16 29 35 2 3 9 32 27 , 6 21 16 5 11 31 30 11 -> 11 16 29 35 2 3 9 32 31 , 6 21 16 5 11 31 30 12 -> 11 16 29 35 2 3 9 32 38 , 39 21 16 5 11 31 30 4 -> 32 16 29 35 2 3 9 32 16 , 39 21 16 5 11 31 30 6 -> 32 16 29 35 2 3 9 32 35 , 39 21 16 5 11 31 30 3 -> 32 16 29 35 2 3 9 32 30 , 39 21 16 5 11 31 30 9 -> 32 16 29 35 2 3 9 32 37 , 39 21 16 5 11 31 30 10 -> 32 16 29 35 2 3 9 32 27 , 39 21 16 5 11 31 30 11 -> 32 16 29 35 2 3 9 32 31 , 39 21 16 5 11 31 30 12 -> 32 16 29 35 2 3 9 32 38 , 24 21 16 5 11 31 30 4 -> 33 16 29 35 2 3 9 32 16 , 24 21 16 5 11 31 30 6 -> 33 16 29 35 2 3 9 32 35 , 24 21 16 5 11 31 30 3 -> 33 16 29 35 2 3 9 32 30 , 24 21 16 5 11 31 30 9 -> 33 16 29 35 2 3 9 32 37 , 24 21 16 5 11 31 30 10 -> 33 16 29 35 2 3 9 32 27 , 24 21 16 5 11 31 30 11 -> 33 16 29 35 2 3 9 32 31 , 24 21 16 5 11 31 30 12 -> 33 16 29 35 2 3 9 32 38 , 35 21 16 5 11 31 30 4 -> 31 16 29 35 2 3 9 32 16 , 35 21 16 5 11 31 30 6 -> 31 16 29 35 2 3 9 32 35 , 35 21 16 5 11 31 30 3 -> 31 16 29 35 2 3 9 32 30 , 35 21 16 5 11 31 30 9 -> 31 16 29 35 2 3 9 32 37 , 35 21 16 5 11 31 30 10 -> 31 16 29 35 2 3 9 32 27 , 35 21 16 5 11 31 30 11 -> 31 16 29 35 2 3 9 32 31 , 35 21 16 5 11 31 30 12 -> 31 16 29 35 2 3 9 32 38 , 43 21 16 5 11 31 30 4 -> 34 16 29 35 2 3 9 32 16 , 43 21 16 5 11 31 30 6 -> 34 16 29 35 2 3 9 32 35 , 43 21 16 5 11 31 30 3 -> 34 16 29 35 2 3 9 32 30 , 43 21 16 5 11 31 30 9 -> 34 16 29 35 2 3 9 32 37 , 43 21 16 5 11 31 30 10 -> 34 16 29 35 2 3 9 32 27 , 43 21 16 5 11 31 30 11 -> 34 16 29 35 2 3 9 32 31 , 43 21 16 5 11 31 30 12 -> 34 16 29 35 2 3 9 32 38 , 23 41 32 16 29 31 30 4 -> 29 31 31 27 24 13 18 8 4 , 23 41 32 16 29 31 30 6 -> 29 31 31 27 24 13 18 8 6 , 23 41 32 16 29 31 30 3 -> 29 31 31 27 24 13 18 8 3 , 23 41 32 16 29 31 30 9 -> 29 31 31 27 24 13 18 8 9 , 23 41 32 16 29 31 30 10 -> 29 31 31 27 24 13 18 8 10 , 23 41 32 16 29 31 30 11 -> 29 31 31 27 24 13 18 8 11 , 23 41 32 16 29 31 30 12 -> 29 31 31 27 24 13 18 8 12 , 20 41 32 16 29 31 30 4 -> 21 31 31 27 24 13 18 8 4 , 20 41 32 16 29 31 30 6 -> 21 31 31 27 24 13 18 8 6 , 20 41 32 16 29 31 30 3 -> 21 31 31 27 24 13 18 8 3 , 20 41 32 16 29 31 30 9 -> 21 31 31 27 24 13 18 8 9 , 20 41 32 16 29 31 30 10 -> 21 31 31 27 24 13 18 8 10 , 20 41 32 16 29 31 30 11 -> 21 31 31 27 24 13 18 8 11 , 20 41 32 16 29 31 30 12 -> 21 31 31 27 24 13 18 8 12 , 10 41 32 16 29 31 30 4 -> 11 31 31 27 24 13 18 8 4 , 10 41 32 16 29 31 30 6 -> 11 31 31 27 24 13 18 8 6 , 10 41 32 16 29 31 30 3 -> 11 31 31 27 24 13 18 8 3 , 10 41 32 16 29 31 30 9 -> 11 31 31 27 24 13 18 8 9 , 10 41 32 16 29 31 30 10 -> 11 31 31 27 24 13 18 8 10 , 10 41 32 16 29 31 30 11 -> 11 31 31 27 24 13 18 8 11 , 10 41 32 16 29 31 30 12 -> 11 31 31 27 24 13 18 8 12 , 25 41 32 16 29 31 30 4 -> 32 31 31 27 24 13 18 8 4 , 25 41 32 16 29 31 30 6 -> 32 31 31 27 24 13 18 8 6 , 25 41 32 16 29 31 30 3 -> 32 31 31 27 24 13 18 8 3 , 25 41 32 16 29 31 30 9 -> 32 31 31 27 24 13 18 8 9 , 25 41 32 16 29 31 30 10 -> 32 31 31 27 24 13 18 8 10 , 25 41 32 16 29 31 30 11 -> 32 31 31 27 24 13 18 8 11 , 25 41 32 16 29 31 30 12 -> 32 31 31 27 24 13 18 8 12 , 26 41 32 16 29 31 30 4 -> 33 31 31 27 24 13 18 8 4 , 26 41 32 16 29 31 30 6 -> 33 31 31 27 24 13 18 8 6 , 26 41 32 16 29 31 30 3 -> 33 31 31 27 24 13 18 8 3 , 26 41 32 16 29 31 30 9 -> 33 31 31 27 24 13 18 8 9 , 26 41 32 16 29 31 30 10 -> 33 31 31 27 24 13 18 8 10 , 26 41 32 16 29 31 30 11 -> 33 31 31 27 24 13 18 8 11 , 26 41 32 16 29 31 30 12 -> 33 31 31 27 24 13 18 8 12 , 27 41 32 16 29 31 30 4 -> 31 31 31 27 24 13 18 8 4 , 27 41 32 16 29 31 30 6 -> 31 31 31 27 24 13 18 8 6 , 27 41 32 16 29 31 30 3 -> 31 31 31 27 24 13 18 8 3 , 27 41 32 16 29 31 30 9 -> 31 31 31 27 24 13 18 8 9 , 27 41 32 16 29 31 30 10 -> 31 31 31 27 24 13 18 8 10 , 27 41 32 16 29 31 30 11 -> 31 31 31 27 24 13 18 8 11 , 27 41 32 16 29 31 30 12 -> 31 31 31 27 24 13 18 8 12 , 28 41 32 16 29 31 30 4 -> 34 31 31 27 24 13 18 8 4 , 28 41 32 16 29 31 30 6 -> 34 31 31 27 24 13 18 8 6 , 28 41 32 16 29 31 30 3 -> 34 31 31 27 24 13 18 8 3 , 28 41 32 16 29 31 30 9 -> 34 31 31 27 24 13 18 8 9 , 28 41 32 16 29 31 30 10 -> 34 31 31 27 24 13 18 8 10 , 28 41 32 16 29 31 30 11 -> 34 31 31 27 24 13 18 8 11 , 28 41 32 16 29 31 30 12 -> 34 31 31 27 24 13 18 8 12 , 29 27 41 14 1 2 6 13 -> 23 41 39 21 35 13 5 9 14 , 29 27 41 14 1 2 6 19 -> 23 41 39 21 35 13 5 9 39 , 29 27 41 14 1 2 6 2 -> 23 41 39 21 35 13 5 9 8 , 29 27 41 14 1 2 6 7 -> 23 41 39 21 35 13 5 9 40 , 29 27 41 14 1 2 6 20 -> 23 41 39 21 35 13 5 9 25 , 29 27 41 14 1 2 6 21 -> 23 41 39 21 35 13 5 9 32 , 29 27 41 14 1 2 6 22 -> 23 41 39 21 35 13 5 9 44 , 21 27 41 14 1 2 6 13 -> 20 41 39 21 35 13 5 9 14 , 21 27 41 14 1 2 6 19 -> 20 41 39 21 35 13 5 9 39 , 21 27 41 14 1 2 6 2 -> 20 41 39 21 35 13 5 9 8 , 21 27 41 14 1 2 6 7 -> 20 41 39 21 35 13 5 9 40 , 21 27 41 14 1 2 6 20 -> 20 41 39 21 35 13 5 9 25 , 21 27 41 14 1 2 6 21 -> 20 41 39 21 35 13 5 9 32 , 21 27 41 14 1 2 6 22 -> 20 41 39 21 35 13 5 9 44 , 11 27 41 14 1 2 6 13 -> 10 41 39 21 35 13 5 9 14 , 11 27 41 14 1 2 6 19 -> 10 41 39 21 35 13 5 9 39 , 11 27 41 14 1 2 6 2 -> 10 41 39 21 35 13 5 9 8 , 11 27 41 14 1 2 6 7 -> 10 41 39 21 35 13 5 9 40 , 11 27 41 14 1 2 6 20 -> 10 41 39 21 35 13 5 9 25 , 11 27 41 14 1 2 6 21 -> 10 41 39 21 35 13 5 9 32 , 11 27 41 14 1 2 6 22 -> 10 41 39 21 35 13 5 9 44 , 32 27 41 14 1 2 6 13 -> 25 41 39 21 35 13 5 9 14 , 32 27 41 14 1 2 6 19 -> 25 41 39 21 35 13 5 9 39 , 32 27 41 14 1 2 6 2 -> 25 41 39 21 35 13 5 9 8 , 32 27 41 14 1 2 6 7 -> 25 41 39 21 35 13 5 9 40 , 32 27 41 14 1 2 6 20 -> 25 41 39 21 35 13 5 9 25 , 32 27 41 14 1 2 6 21 -> 25 41 39 21 35 13 5 9 32 , 32 27 41 14 1 2 6 22 -> 25 41 39 21 35 13 5 9 44 , 33 27 41 14 1 2 6 13 -> 26 41 39 21 35 13 5 9 14 , 33 27 41 14 1 2 6 19 -> 26 41 39 21 35 13 5 9 39 , 33 27 41 14 1 2 6 2 -> 26 41 39 21 35 13 5 9 8 , 33 27 41 14 1 2 6 7 -> 26 41 39 21 35 13 5 9 40 , 33 27 41 14 1 2 6 20 -> 26 41 39 21 35 13 5 9 25 , 33 27 41 14 1 2 6 21 -> 26 41 39 21 35 13 5 9 32 , 33 27 41 14 1 2 6 22 -> 26 41 39 21 35 13 5 9 44 , 31 27 41 14 1 2 6 13 -> 27 41 39 21 35 13 5 9 14 , 31 27 41 14 1 2 6 19 -> 27 41 39 21 35 13 5 9 39 , 31 27 41 14 1 2 6 2 -> 27 41 39 21 35 13 5 9 8 , 31 27 41 14 1 2 6 7 -> 27 41 39 21 35 13 5 9 40 , 31 27 41 14 1 2 6 20 -> 27 41 39 21 35 13 5 9 25 , 31 27 41 14 1 2 6 21 -> 27 41 39 21 35 13 5 9 32 , 31 27 41 14 1 2 6 22 -> 27 41 39 21 35 13 5 9 44 , 34 27 41 14 1 2 6 13 -> 28 41 39 21 35 13 5 9 14 , 34 27 41 14 1 2 6 19 -> 28 41 39 21 35 13 5 9 39 , 34 27 41 14 1 2 6 2 -> 28 41 39 21 35 13 5 9 8 , 34 27 41 14 1 2 6 7 -> 28 41 39 21 35 13 5 9 40 , 34 27 41 14 1 2 6 20 -> 28 41 39 21 35 13 5 9 25 , 34 27 41 14 1 2 6 21 -> 28 41 39 21 35 13 5 9 32 , 34 27 41 14 1 2 6 22 -> 28 41 39 21 35 13 5 9 44 , 0 0 5 4 5 6 19 13 -> 0 0 18 8 4 5 6 19 13 , 0 0 5 4 5 6 19 19 -> 0 0 18 8 4 5 6 19 19 , 0 0 5 4 5 6 19 2 -> 0 0 18 8 4 5 6 19 2 , 0 0 5 4 5 6 19 7 -> 0 0 18 8 4 5 6 19 7 , 0 0 5 4 5 6 19 20 -> 0 0 18 8 4 5 6 19 20 , 0 0 5 4 5 6 19 21 -> 0 0 18 8 4 5 6 19 21 , 0 0 5 4 5 6 19 22 -> 0 0 18 8 4 5 6 19 22 , 13 0 5 4 5 6 19 13 -> 13 0 18 8 4 5 6 19 13 , 13 0 5 4 5 6 19 19 -> 13 0 18 8 4 5 6 19 19 , 13 0 5 4 5 6 19 2 -> 13 0 18 8 4 5 6 19 2 , 13 0 5 4 5 6 19 7 -> 13 0 18 8 4 5 6 19 7 , 13 0 5 4 5 6 19 20 -> 13 0 18 8 4 5 6 19 20 , 13 0 5 4 5 6 19 21 -> 13 0 18 8 4 5 6 19 21 , 13 0 5 4 5 6 19 22 -> 13 0 18 8 4 5 6 19 22 , 4 0 5 4 5 6 19 13 -> 4 0 18 8 4 5 6 19 13 , 4 0 5 4 5 6 19 19 -> 4 0 18 8 4 5 6 19 19 , 4 0 5 4 5 6 19 2 -> 4 0 18 8 4 5 6 19 2 , 4 0 5 4 5 6 19 7 -> 4 0 18 8 4 5 6 19 7 , 4 0 5 4 5 6 19 20 -> 4 0 18 8 4 5 6 19 20 , 4 0 5 4 5 6 19 21 -> 4 0 18 8 4 5 6 19 21 , 4 0 5 4 5 6 19 22 -> 4 0 18 8 4 5 6 19 22 , 14 0 5 4 5 6 19 13 -> 14 0 18 8 4 5 6 19 13 , 14 0 5 4 5 6 19 19 -> 14 0 18 8 4 5 6 19 19 , 14 0 5 4 5 6 19 2 -> 14 0 18 8 4 5 6 19 2 , 14 0 5 4 5 6 19 7 -> 14 0 18 8 4 5 6 19 7 , 14 0 5 4 5 6 19 20 -> 14 0 18 8 4 5 6 19 20 , 14 0 5 4 5 6 19 21 -> 14 0 18 8 4 5 6 19 21 , 14 0 5 4 5 6 19 22 -> 14 0 18 8 4 5 6 19 22 , 15 0 5 4 5 6 19 13 -> 15 0 18 8 4 5 6 19 13 , 15 0 5 4 5 6 19 19 -> 15 0 18 8 4 5 6 19 19 , 15 0 5 4 5 6 19 2 -> 15 0 18 8 4 5 6 19 2 , 15 0 5 4 5 6 19 7 -> 15 0 18 8 4 5 6 19 7 , 15 0 5 4 5 6 19 20 -> 15 0 18 8 4 5 6 19 20 , 15 0 5 4 5 6 19 21 -> 15 0 18 8 4 5 6 19 21 , 15 0 5 4 5 6 19 22 -> 15 0 18 8 4 5 6 19 22 , 16 0 5 4 5 6 19 13 -> 16 0 18 8 4 5 6 19 13 , 16 0 5 4 5 6 19 19 -> 16 0 18 8 4 5 6 19 19 , 16 0 5 4 5 6 19 2 -> 16 0 18 8 4 5 6 19 2 , 16 0 5 4 5 6 19 7 -> 16 0 18 8 4 5 6 19 7 , 16 0 5 4 5 6 19 20 -> 16 0 18 8 4 5 6 19 20 , 16 0 5 4 5 6 19 21 -> 16 0 18 8 4 5 6 19 21 , 16 0 5 4 5 6 19 22 -> 16 0 18 8 4 5 6 19 22 , 17 0 5 4 5 6 19 13 -> 17 0 18 8 4 5 6 19 13 , 17 0 5 4 5 6 19 19 -> 17 0 18 8 4 5 6 19 19 , 17 0 5 4 5 6 19 2 -> 17 0 18 8 4 5 6 19 2 , 17 0 5 4 5 6 19 7 -> 17 0 18 8 4 5 6 19 7 , 17 0 5 4 5 6 19 20 -> 17 0 18 8 4 5 6 19 20 , 17 0 5 4 5 6 19 21 -> 17 0 18 8 4 5 6 19 21 , 17 0 5 4 5 6 19 22 -> 17 0 18 8 4 5 6 19 22 , 29 37 32 37 25 15 1 13 -> 29 37 25 15 0 18 39 21 16 , 29 37 32 37 25 15 1 19 -> 29 37 25 15 0 18 39 21 35 , 29 37 32 37 25 15 1 2 -> 29 37 25 15 0 18 39 21 30 , 29 37 32 37 25 15 1 7 -> 29 37 25 15 0 18 39 21 37 , 29 37 32 37 25 15 1 20 -> 29 37 25 15 0 18 39 21 27 , 29 37 32 37 25 15 1 21 -> 29 37 25 15 0 18 39 21 31 , 29 37 32 37 25 15 1 22 -> 29 37 25 15 0 18 39 21 38 , 21 37 32 37 25 15 1 13 -> 21 37 25 15 0 18 39 21 16 , 21 37 32 37 25 15 1 19 -> 21 37 25 15 0 18 39 21 35 , 21 37 32 37 25 15 1 2 -> 21 37 25 15 0 18 39 21 30 , 21 37 32 37 25 15 1 7 -> 21 37 25 15 0 18 39 21 37 , 21 37 32 37 25 15 1 20 -> 21 37 25 15 0 18 39 21 27 , 21 37 32 37 25 15 1 21 -> 21 37 25 15 0 18 39 21 31 , 21 37 32 37 25 15 1 22 -> 21 37 25 15 0 18 39 21 38 , 11 37 32 37 25 15 1 13 -> 11 37 25 15 0 18 39 21 16 , 11 37 32 37 25 15 1 19 -> 11 37 25 15 0 18 39 21 35 , 11 37 32 37 25 15 1 2 -> 11 37 25 15 0 18 39 21 30 , 11 37 32 37 25 15 1 7 -> 11 37 25 15 0 18 39 21 37 , 11 37 32 37 25 15 1 20 -> 11 37 25 15 0 18 39 21 27 , 11 37 32 37 25 15 1 21 -> 11 37 25 15 0 18 39 21 31 , 11 37 32 37 25 15 1 22 -> 11 37 25 15 0 18 39 21 38 , 32 37 32 37 25 15 1 13 -> 32 37 25 15 0 18 39 21 16 , 32 37 32 37 25 15 1 19 -> 32 37 25 15 0 18 39 21 35 , 32 37 32 37 25 15 1 2 -> 32 37 25 15 0 18 39 21 30 , 32 37 32 37 25 15 1 7 -> 32 37 25 15 0 18 39 21 37 , 32 37 32 37 25 15 1 20 -> 32 37 25 15 0 18 39 21 27 , 32 37 32 37 25 15 1 21 -> 32 37 25 15 0 18 39 21 31 , 32 37 32 37 25 15 1 22 -> 32 37 25 15 0 18 39 21 38 , 33 37 32 37 25 15 1 13 -> 33 37 25 15 0 18 39 21 16 , 33 37 32 37 25 15 1 19 -> 33 37 25 15 0 18 39 21 35 , 33 37 32 37 25 15 1 2 -> 33 37 25 15 0 18 39 21 30 , 33 37 32 37 25 15 1 7 -> 33 37 25 15 0 18 39 21 37 , 33 37 32 37 25 15 1 20 -> 33 37 25 15 0 18 39 21 27 , 33 37 32 37 25 15 1 21 -> 33 37 25 15 0 18 39 21 31 , 33 37 32 37 25 15 1 22 -> 33 37 25 15 0 18 39 21 38 , 31 37 32 37 25 15 1 13 -> 31 37 25 15 0 18 39 21 16 , 31 37 32 37 25 15 1 19 -> 31 37 25 15 0 18 39 21 35 , 31 37 32 37 25 15 1 2 -> 31 37 25 15 0 18 39 21 30 , 31 37 32 37 25 15 1 7 -> 31 37 25 15 0 18 39 21 37 , 31 37 32 37 25 15 1 20 -> 31 37 25 15 0 18 39 21 27 , 31 37 32 37 25 15 1 21 -> 31 37 25 15 0 18 39 21 31 , 31 37 32 37 25 15 1 22 -> 31 37 25 15 0 18 39 21 38 , 34 37 32 37 25 15 1 13 -> 34 37 25 15 0 18 39 21 16 , 34 37 32 37 25 15 1 19 -> 34 37 25 15 0 18 39 21 35 , 34 37 32 37 25 15 1 2 -> 34 37 25 15 0 18 39 21 30 , 34 37 32 37 25 15 1 7 -> 34 37 25 15 0 18 39 21 37 , 34 37 32 37 25 15 1 20 -> 34 37 25 15 0 18 39 21 27 , 34 37 32 37 25 15 1 21 -> 34 37 25 15 0 18 39 21 31 , 34 37 32 37 25 15 1 22 -> 34 37 25 15 0 18 39 21 38 , 0 29 16 29 37 25 24 13 -> 23 33 35 13 0 18 39 21 16 , 0 29 16 29 37 25 24 19 -> 23 33 35 13 0 18 39 21 35 , 0 29 16 29 37 25 24 2 -> 23 33 35 13 0 18 39 21 30 , 0 29 16 29 37 25 24 7 -> 23 33 35 13 0 18 39 21 37 , 0 29 16 29 37 25 24 20 -> 23 33 35 13 0 18 39 21 27 , 0 29 16 29 37 25 24 21 -> 23 33 35 13 0 18 39 21 31 , 0 29 16 29 37 25 24 22 -> 23 33 35 13 0 18 39 21 38 , 13 29 16 29 37 25 24 13 -> 20 33 35 13 0 18 39 21 16 , 13 29 16 29 37 25 24 19 -> 20 33 35 13 0 18 39 21 35 , 13 29 16 29 37 25 24 2 -> 20 33 35 13 0 18 39 21 30 , 13 29 16 29 37 25 24 7 -> 20 33 35 13 0 18 39 21 37 , 13 29 16 29 37 25 24 20 -> 20 33 35 13 0 18 39 21 27 , 13 29 16 29 37 25 24 21 -> 20 33 35 13 0 18 39 21 31 , 13 29 16 29 37 25 24 22 -> 20 33 35 13 0 18 39 21 38 , 4 29 16 29 37 25 24 13 -> 10 33 35 13 0 18 39 21 16 , 4 29 16 29 37 25 24 19 -> 10 33 35 13 0 18 39 21 35 , 4 29 16 29 37 25 24 2 -> 10 33 35 13 0 18 39 21 30 , 4 29 16 29 37 25 24 7 -> 10 33 35 13 0 18 39 21 37 , 4 29 16 29 37 25 24 20 -> 10 33 35 13 0 18 39 21 27 , 4 29 16 29 37 25 24 21 -> 10 33 35 13 0 18 39 21 31 , 4 29 16 29 37 25 24 22 -> 10 33 35 13 0 18 39 21 38 , 14 29 16 29 37 25 24 13 -> 25 33 35 13 0 18 39 21 16 , 14 29 16 29 37 25 24 19 -> 25 33 35 13 0 18 39 21 35 , 14 29 16 29 37 25 24 2 -> 25 33 35 13 0 18 39 21 30 , 14 29 16 29 37 25 24 7 -> 25 33 35 13 0 18 39 21 37 , 14 29 16 29 37 25 24 20 -> 25 33 35 13 0 18 39 21 27 , 14 29 16 29 37 25 24 21 -> 25 33 35 13 0 18 39 21 31 , 14 29 16 29 37 25 24 22 -> 25 33 35 13 0 18 39 21 38 , 15 29 16 29 37 25 24 13 -> 26 33 35 13 0 18 39 21 16 , 15 29 16 29 37 25 24 19 -> 26 33 35 13 0 18 39 21 35 , 15 29 16 29 37 25 24 2 -> 26 33 35 13 0 18 39 21 30 , 15 29 16 29 37 25 24 7 -> 26 33 35 13 0 18 39 21 37 , 15 29 16 29 37 25 24 20 -> 26 33 35 13 0 18 39 21 27 , 15 29 16 29 37 25 24 21 -> 26 33 35 13 0 18 39 21 31 , 15 29 16 29 37 25 24 22 -> 26 33 35 13 0 18 39 21 38 , 16 29 16 29 37 25 24 13 -> 27 33 35 13 0 18 39 21 16 , 16 29 16 29 37 25 24 19 -> 27 33 35 13 0 18 39 21 35 , 16 29 16 29 37 25 24 2 -> 27 33 35 13 0 18 39 21 30 , 16 29 16 29 37 25 24 7 -> 27 33 35 13 0 18 39 21 37 , 16 29 16 29 37 25 24 20 -> 27 33 35 13 0 18 39 21 27 , 16 29 16 29 37 25 24 21 -> 27 33 35 13 0 18 39 21 31 , 16 29 16 29 37 25 24 22 -> 27 33 35 13 0 18 39 21 38 , 17 29 16 29 37 25 24 13 -> 28 33 35 13 0 18 39 21 16 , 17 29 16 29 37 25 24 19 -> 28 33 35 13 0 18 39 21 35 , 17 29 16 29 37 25 24 2 -> 28 33 35 13 0 18 39 21 30 , 17 29 16 29 37 25 24 7 -> 28 33 35 13 0 18 39 21 37 , 17 29 16 29 37 25 24 20 -> 28 33 35 13 0 18 39 21 27 , 17 29 16 29 37 25 24 21 -> 28 33 35 13 0 18 39 21 31 , 17 29 16 29 37 25 24 22 -> 28 33 35 13 0 18 39 21 38 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 is interpreted by / \ | 1 2 | | 0 1 | \ / 1 is interpreted by / \ | 1 13 | | 0 1 | \ / 2 is interpreted by / \ | 1 1 | | 0 1 | \ / 3 is interpreted by / \ | 1 7 | | 0 1 | \ / 4 is interpreted by / \ | 1 1 | | 0 1 | \ / 5 is interpreted by / \ | 1 8 | | 0 1 | \ / 6 is interpreted by / \ | 1 4 | | 0 1 | \ / 7 is interpreted by / \ | 1 0 | | 0 1 | \ / 8 is interpreted by / \ | 1 0 | | 0 1 | \ / 9 is interpreted by / \ | 1 1 | | 0 1 | \ / 10 is interpreted by / \ | 1 3 | | 0 1 | \ / 11 is interpreted by / \ | 1 8 | | 0 1 | \ / 12 is interpreted by / \ | 1 1 | | 0 1 | \ / 13 is interpreted by / \ | 1 0 | | 0 1 | \ / 14 is interpreted by / \ | 1 2 | | 0 1 | \ / 15 is interpreted by / \ | 1 0 | | 0 1 | \ / 16 is interpreted by / \ | 1 2 | | 0 1 | \ / 17 is interpreted by / \ | 1 0 | | 0 1 | \ / 18 is interpreted by / \ | 1 0 | | 0 1 | \ / 19 is interpreted by / \ | 1 1 | | 0 1 | \ / 20 is interpreted by / \ | 1 0 | | 0 1 | \ / 21 is interpreted by / \ | 1 3 | | 0 1 | \ / 22 is interpreted by / \ | 1 0 | | 0 1 | \ / 23 is interpreted by / \ | 1 8 | | 0 1 | \ / 24 is interpreted by / \ | 1 3 | | 0 1 | \ / 25 is interpreted by / \ | 1 0 | | 0 1 | \ / 26 is interpreted by / \ | 1 0 | | 0 1 | \ / 27 is interpreted by / \ | 1 0 | | 0 1 | \ / 28 is interpreted by / \ | 1 0 | | 0 1 | \ / 29 is interpreted by / \ | 1 7 | | 0 1 | \ / 30 is interpreted by / \ | 1 15 | | 0 1 | \ / 31 is interpreted by / \ | 1 5 | | 0 1 | \ / 32 is interpreted by / \ | 1 1 | | 0 1 | \ / 33 is interpreted by / \ | 1 0 | | 0 1 | \ / 34 is interpreted by / \ | 1 0 | | 0 1 | \ / 35 is interpreted by / \ | 1 0 | | 0 1 | \ / 36 is interpreted by / \ | 1 1 | | 0 1 | \ / 37 is interpreted by / \ | 1 7 | | 0 1 | \ / 38 is interpreted by / \ | 1 0 | | 0 1 | \ / 39 is interpreted by / \ | 1 0 | | 0 1 | \ / 40 is interpreted by / \ | 1 0 | | 0 1 | \ / 41 is interpreted by / \ | 1 3 | | 0 1 | \ / 42 is interpreted by / \ | 1 0 | | 0 1 | \ / 43 is interpreted by / \ | 1 0 | | 0 1 | \ / 44 is interpreted by / \ | 1 0 | | 0 1 | \ / 45 is interpreted by / \ | 1 0 | | 0 1 | \ / 46 is interpreted by / \ | 1 0 | | 0 1 | \ / After renaming modulo { 0->0, 1->1, 2->2, 6->3, 19->4, 13->5, 7->6, 39->7, 20->8, 21->9, 22->10, 4->11, 14->12, 15->13, 16->14, 17->15 }, it remains to prove termination of the 49-rule system { 0 0 1 2 3 4 5 -> 0 0 1 6 7 4 2 3 5 , 0 0 1 2 3 4 4 -> 0 0 1 6 7 4 2 3 4 , 0 0 1 2 3 4 2 -> 0 0 1 6 7 4 2 3 2 , 0 0 1 2 3 4 6 -> 0 0 1 6 7 4 2 3 6 , 0 0 1 2 3 4 8 -> 0 0 1 6 7 4 2 3 8 , 0 0 1 2 3 4 9 -> 0 0 1 6 7 4 2 3 9 , 0 0 1 2 3 4 10 -> 0 0 1 6 7 4 2 3 10 , 5 0 1 2 3 4 5 -> 5 0 1 6 7 4 2 3 5 , 5 0 1 2 3 4 4 -> 5 0 1 6 7 4 2 3 4 , 5 0 1 2 3 4 2 -> 5 0 1 6 7 4 2 3 2 , 5 0 1 2 3 4 6 -> 5 0 1 6 7 4 2 3 6 , 5 0 1 2 3 4 8 -> 5 0 1 6 7 4 2 3 8 , 5 0 1 2 3 4 9 -> 5 0 1 6 7 4 2 3 9 , 5 0 1 2 3 4 10 -> 5 0 1 6 7 4 2 3 10 , 11 0 1 2 3 4 5 -> 11 0 1 6 7 4 2 3 5 , 11 0 1 2 3 4 4 -> 11 0 1 6 7 4 2 3 4 , 11 0 1 2 3 4 2 -> 11 0 1 6 7 4 2 3 2 , 11 0 1 2 3 4 6 -> 11 0 1 6 7 4 2 3 6 , 11 0 1 2 3 4 8 -> 11 0 1 6 7 4 2 3 8 , 11 0 1 2 3 4 9 -> 11 0 1 6 7 4 2 3 9 , 11 0 1 2 3 4 10 -> 11 0 1 6 7 4 2 3 10 , 12 0 1 2 3 4 5 -> 12 0 1 6 7 4 2 3 5 , 12 0 1 2 3 4 4 -> 12 0 1 6 7 4 2 3 4 , 12 0 1 2 3 4 2 -> 12 0 1 6 7 4 2 3 2 , 12 0 1 2 3 4 6 -> 12 0 1 6 7 4 2 3 6 , 12 0 1 2 3 4 8 -> 12 0 1 6 7 4 2 3 8 , 12 0 1 2 3 4 9 -> 12 0 1 6 7 4 2 3 9 , 12 0 1 2 3 4 10 -> 12 0 1 6 7 4 2 3 10 , 13 0 1 2 3 4 5 -> 13 0 1 6 7 4 2 3 5 , 13 0 1 2 3 4 4 -> 13 0 1 6 7 4 2 3 4 , 13 0 1 2 3 4 2 -> 13 0 1 6 7 4 2 3 2 , 13 0 1 2 3 4 6 -> 13 0 1 6 7 4 2 3 6 , 13 0 1 2 3 4 8 -> 13 0 1 6 7 4 2 3 8 , 13 0 1 2 3 4 9 -> 13 0 1 6 7 4 2 3 9 , 13 0 1 2 3 4 10 -> 13 0 1 6 7 4 2 3 10 , 14 0 1 2 3 4 5 -> 14 0 1 6 7 4 2 3 5 , 14 0 1 2 3 4 4 -> 14 0 1 6 7 4 2 3 4 , 14 0 1 2 3 4 2 -> 14 0 1 6 7 4 2 3 2 , 14 0 1 2 3 4 6 -> 14 0 1 6 7 4 2 3 6 , 14 0 1 2 3 4 8 -> 14 0 1 6 7 4 2 3 8 , 14 0 1 2 3 4 9 -> 14 0 1 6 7 4 2 3 9 , 14 0 1 2 3 4 10 -> 14 0 1 6 7 4 2 3 10 , 15 0 1 2 3 4 5 -> 15 0 1 6 7 4 2 3 5 , 15 0 1 2 3 4 4 -> 15 0 1 6 7 4 2 3 4 , 15 0 1 2 3 4 2 -> 15 0 1 6 7 4 2 3 2 , 15 0 1 2 3 4 6 -> 15 0 1 6 7 4 2 3 6 , 15 0 1 2 3 4 8 -> 15 0 1 6 7 4 2 3 8 , 15 0 1 2 3 4 9 -> 15 0 1 6 7 4 2 3 9 , 15 0 1 2 3 4 10 -> 15 0 1 6 7 4 2 3 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 6->5, 7->6, 8->7, 9->8, 10->9, 5->10, 11->11, 12->12, 13->13, 14->14, 15->15 }, it remains to prove termination of the 48-rule system { 0 0 1 2 3 4 4 -> 0 0 1 5 6 4 2 3 4 , 0 0 1 2 3 4 2 -> 0 0 1 5 6 4 2 3 2 , 0 0 1 2 3 4 5 -> 0 0 1 5 6 4 2 3 5 , 0 0 1 2 3 4 7 -> 0 0 1 5 6 4 2 3 7 , 0 0 1 2 3 4 8 -> 0 0 1 5 6 4 2 3 8 , 0 0 1 2 3 4 9 -> 0 0 1 5 6 4 2 3 9 , 10 0 1 2 3 4 10 -> 10 0 1 5 6 4 2 3 10 , 10 0 1 2 3 4 4 -> 10 0 1 5 6 4 2 3 4 , 10 0 1 2 3 4 2 -> 10 0 1 5 6 4 2 3 2 , 10 0 1 2 3 4 5 -> 10 0 1 5 6 4 2 3 5 , 10 0 1 2 3 4 7 -> 10 0 1 5 6 4 2 3 7 , 10 0 1 2 3 4 8 -> 10 0 1 5 6 4 2 3 8 , 10 0 1 2 3 4 9 -> 10 0 1 5 6 4 2 3 9 , 11 0 1 2 3 4 10 -> 11 0 1 5 6 4 2 3 10 , 11 0 1 2 3 4 4 -> 11 0 1 5 6 4 2 3 4 , 11 0 1 2 3 4 2 -> 11 0 1 5 6 4 2 3 2 , 11 0 1 2 3 4 5 -> 11 0 1 5 6 4 2 3 5 , 11 0 1 2 3 4 7 -> 11 0 1 5 6 4 2 3 7 , 11 0 1 2 3 4 8 -> 11 0 1 5 6 4 2 3 8 , 11 0 1 2 3 4 9 -> 11 0 1 5 6 4 2 3 9 , 12 0 1 2 3 4 10 -> 12 0 1 5 6 4 2 3 10 , 12 0 1 2 3 4 4 -> 12 0 1 5 6 4 2 3 4 , 12 0 1 2 3 4 2 -> 12 0 1 5 6 4 2 3 2 , 12 0 1 2 3 4 5 -> 12 0 1 5 6 4 2 3 5 , 12 0 1 2 3 4 7 -> 12 0 1 5 6 4 2 3 7 , 12 0 1 2 3 4 8 -> 12 0 1 5 6 4 2 3 8 , 12 0 1 2 3 4 9 -> 12 0 1 5 6 4 2 3 9 , 13 0 1 2 3 4 10 -> 13 0 1 5 6 4 2 3 10 , 13 0 1 2 3 4 4 -> 13 0 1 5 6 4 2 3 4 , 13 0 1 2 3 4 2 -> 13 0 1 5 6 4 2 3 2 , 13 0 1 2 3 4 5 -> 13 0 1 5 6 4 2 3 5 , 13 0 1 2 3 4 7 -> 13 0 1 5 6 4 2 3 7 , 13 0 1 2 3 4 8 -> 13 0 1 5 6 4 2 3 8 , 13 0 1 2 3 4 9 -> 13 0 1 5 6 4 2 3 9 , 14 0 1 2 3 4 10 -> 14 0 1 5 6 4 2 3 10 , 14 0 1 2 3 4 4 -> 14 0 1 5 6 4 2 3 4 , 14 0 1 2 3 4 2 -> 14 0 1 5 6 4 2 3 2 , 14 0 1 2 3 4 5 -> 14 0 1 5 6 4 2 3 5 , 14 0 1 2 3 4 7 -> 14 0 1 5 6 4 2 3 7 , 14 0 1 2 3 4 8 -> 14 0 1 5 6 4 2 3 8 , 14 0 1 2 3 4 9 -> 14 0 1 5 6 4 2 3 9 , 15 0 1 2 3 4 10 -> 15 0 1 5 6 4 2 3 10 , 15 0 1 2 3 4 4 -> 15 0 1 5 6 4 2 3 4 , 15 0 1 2 3 4 2 -> 15 0 1 5 6 4 2 3 2 , 15 0 1 2 3 4 5 -> 15 0 1 5 6 4 2 3 5 , 15 0 1 2 3 4 7 -> 15 0 1 5 6 4 2 3 7 , 15 0 1 2 3 4 8 -> 15 0 1 5 6 4 2 3 8 , 15 0 1 2 3 4 9 -> 15 0 1 5 6 4 2 3 9 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 1 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15 }, it remains to prove termination of the 47-rule system { 0 0 1 2 3 4 2 -> 0 0 1 5 6 4 2 3 2 , 0 0 1 2 3 4 5 -> 0 0 1 5 6 4 2 3 5 , 0 0 1 2 3 4 7 -> 0 0 1 5 6 4 2 3 7 , 0 0 1 2 3 4 8 -> 0 0 1 5 6 4 2 3 8 , 0 0 1 2 3 4 9 -> 0 0 1 5 6 4 2 3 9 , 10 0 1 2 3 4 10 -> 10 0 1 5 6 4 2 3 10 , 10 0 1 2 3 4 4 -> 10 0 1 5 6 4 2 3 4 , 10 0 1 2 3 4 2 -> 10 0 1 5 6 4 2 3 2 , 10 0 1 2 3 4 5 -> 10 0 1 5 6 4 2 3 5 , 10 0 1 2 3 4 7 -> 10 0 1 5 6 4 2 3 7 , 10 0 1 2 3 4 8 -> 10 0 1 5 6 4 2 3 8 , 10 0 1 2 3 4 9 -> 10 0 1 5 6 4 2 3 9 , 11 0 1 2 3 4 10 -> 11 0 1 5 6 4 2 3 10 , 11 0 1 2 3 4 4 -> 11 0 1 5 6 4 2 3 4 , 11 0 1 2 3 4 2 -> 11 0 1 5 6 4 2 3 2 , 11 0 1 2 3 4 5 -> 11 0 1 5 6 4 2 3 5 , 11 0 1 2 3 4 7 -> 11 0 1 5 6 4 2 3 7 , 11 0 1 2 3 4 8 -> 11 0 1 5 6 4 2 3 8 , 11 0 1 2 3 4 9 -> 11 0 1 5 6 4 2 3 9 , 12 0 1 2 3 4 10 -> 12 0 1 5 6 4 2 3 10 , 12 0 1 2 3 4 4 -> 12 0 1 5 6 4 2 3 4 , 12 0 1 2 3 4 2 -> 12 0 1 5 6 4 2 3 2 , 12 0 1 2 3 4 5 -> 12 0 1 5 6 4 2 3 5 , 12 0 1 2 3 4 7 -> 12 0 1 5 6 4 2 3 7 , 12 0 1 2 3 4 8 -> 12 0 1 5 6 4 2 3 8 , 12 0 1 2 3 4 9 -> 12 0 1 5 6 4 2 3 9 , 13 0 1 2 3 4 10 -> 13 0 1 5 6 4 2 3 10 , 13 0 1 2 3 4 4 -> 13 0 1 5 6 4 2 3 4 , 13 0 1 2 3 4 2 -> 13 0 1 5 6 4 2 3 2 , 13 0 1 2 3 4 5 -> 13 0 1 5 6 4 2 3 5 , 13 0 1 2 3 4 7 -> 13 0 1 5 6 4 2 3 7 , 13 0 1 2 3 4 8 -> 13 0 1 5 6 4 2 3 8 , 13 0 1 2 3 4 9 -> 13 0 1 5 6 4 2 3 9 , 14 0 1 2 3 4 10 -> 14 0 1 5 6 4 2 3 10 , 14 0 1 2 3 4 4 -> 14 0 1 5 6 4 2 3 4 , 14 0 1 2 3 4 2 -> 14 0 1 5 6 4 2 3 2 , 14 0 1 2 3 4 5 -> 14 0 1 5 6 4 2 3 5 , 14 0 1 2 3 4 7 -> 14 0 1 5 6 4 2 3 7 , 14 0 1 2 3 4 8 -> 14 0 1 5 6 4 2 3 8 , 14 0 1 2 3 4 9 -> 14 0 1 5 6 4 2 3 9 , 15 0 1 2 3 4 10 -> 15 0 1 5 6 4 2 3 10 , 15 0 1 2 3 4 4 -> 15 0 1 5 6 4 2 3 4 , 15 0 1 2 3 4 2 -> 15 0 1 5 6 4 2 3 2 , 15 0 1 2 3 4 5 -> 15 0 1 5 6 4 2 3 5 , 15 0 1 2 3 4 7 -> 15 0 1 5 6 4 2 3 7 , 15 0 1 2 3 4 8 -> 15 0 1 5 6 4 2 3 8 , 15 0 1 2 3 4 9 -> 15 0 1 5 6 4 2 3 9 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15 }, it remains to prove termination of the 46-rule system { 0 0 1 2 3 4 5 -> 0 0 1 5 6 4 2 3 5 , 0 0 1 2 3 4 7 -> 0 0 1 5 6 4 2 3 7 , 0 0 1 2 3 4 8 -> 0 0 1 5 6 4 2 3 8 , 0 0 1 2 3 4 9 -> 0 0 1 5 6 4 2 3 9 , 10 0 1 2 3 4 10 -> 10 0 1 5 6 4 2 3 10 , 10 0 1 2 3 4 4 -> 10 0 1 5 6 4 2 3 4 , 10 0 1 2 3 4 2 -> 10 0 1 5 6 4 2 3 2 , 10 0 1 2 3 4 5 -> 10 0 1 5 6 4 2 3 5 , 10 0 1 2 3 4 7 -> 10 0 1 5 6 4 2 3 7 , 10 0 1 2 3 4 8 -> 10 0 1 5 6 4 2 3 8 , 10 0 1 2 3 4 9 -> 10 0 1 5 6 4 2 3 9 , 11 0 1 2 3 4 10 -> 11 0 1 5 6 4 2 3 10 , 11 0 1 2 3 4 4 -> 11 0 1 5 6 4 2 3 4 , 11 0 1 2 3 4 2 -> 11 0 1 5 6 4 2 3 2 , 11 0 1 2 3 4 5 -> 11 0 1 5 6 4 2 3 5 , 11 0 1 2 3 4 7 -> 11 0 1 5 6 4 2 3 7 , 11 0 1 2 3 4 8 -> 11 0 1 5 6 4 2 3 8 , 11 0 1 2 3 4 9 -> 11 0 1 5 6 4 2 3 9 , 12 0 1 2 3 4 10 -> 12 0 1 5 6 4 2 3 10 , 12 0 1 2 3 4 4 -> 12 0 1 5 6 4 2 3 4 , 12 0 1 2 3 4 2 -> 12 0 1 5 6 4 2 3 2 , 12 0 1 2 3 4 5 -> 12 0 1 5 6 4 2 3 5 , 12 0 1 2 3 4 7 -> 12 0 1 5 6 4 2 3 7 , 12 0 1 2 3 4 8 -> 12 0 1 5 6 4 2 3 8 , 12 0 1 2 3 4 9 -> 12 0 1 5 6 4 2 3 9 , 13 0 1 2 3 4 10 -> 13 0 1 5 6 4 2 3 10 , 13 0 1 2 3 4 4 -> 13 0 1 5 6 4 2 3 4 , 13 0 1 2 3 4 2 -> 13 0 1 5 6 4 2 3 2 , 13 0 1 2 3 4 5 -> 13 0 1 5 6 4 2 3 5 , 13 0 1 2 3 4 7 -> 13 0 1 5 6 4 2 3 7 , 13 0 1 2 3 4 8 -> 13 0 1 5 6 4 2 3 8 , 13 0 1 2 3 4 9 -> 13 0 1 5 6 4 2 3 9 , 14 0 1 2 3 4 10 -> 14 0 1 5 6 4 2 3 10 , 14 0 1 2 3 4 4 -> 14 0 1 5 6 4 2 3 4 , 14 0 1 2 3 4 2 -> 14 0 1 5 6 4 2 3 2 , 14 0 1 2 3 4 5 -> 14 0 1 5 6 4 2 3 5 , 14 0 1 2 3 4 7 -> 14 0 1 5 6 4 2 3 7 , 14 0 1 2 3 4 8 -> 14 0 1 5 6 4 2 3 8 , 14 0 1 2 3 4 9 -> 14 0 1 5 6 4 2 3 9 , 15 0 1 2 3 4 10 -> 15 0 1 5 6 4 2 3 10 , 15 0 1 2 3 4 4 -> 15 0 1 5 6 4 2 3 4 , 15 0 1 2 3 4 2 -> 15 0 1 5 6 4 2 3 2 , 15 0 1 2 3 4 5 -> 15 0 1 5 6 4 2 3 5 , 15 0 1 2 3 4 7 -> 15 0 1 5 6 4 2 3 7 , 15 0 1 2 3 4 8 -> 15 0 1 5 6 4 2 3 8 , 15 0 1 2 3 4 9 -> 15 0 1 5 6 4 2 3 9 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 7->5, 5->6, 6->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15 }, it remains to prove termination of the 45-rule system { 0 0 1 2 3 4 5 -> 0 0 1 6 7 4 2 3 5 , 0 0 1 2 3 4 8 -> 0 0 1 6 7 4 2 3 8 , 0 0 1 2 3 4 9 -> 0 0 1 6 7 4 2 3 9 , 10 0 1 2 3 4 10 -> 10 0 1 6 7 4 2 3 10 , 10 0 1 2 3 4 4 -> 10 0 1 6 7 4 2 3 4 , 10 0 1 2 3 4 2 -> 10 0 1 6 7 4 2 3 2 , 10 0 1 2 3 4 6 -> 10 0 1 6 7 4 2 3 6 , 10 0 1 2 3 4 5 -> 10 0 1 6 7 4 2 3 5 , 10 0 1 2 3 4 8 -> 10 0 1 6 7 4 2 3 8 , 10 0 1 2 3 4 9 -> 10 0 1 6 7 4 2 3 9 , 11 0 1 2 3 4 10 -> 11 0 1 6 7 4 2 3 10 , 11 0 1 2 3 4 4 -> 11 0 1 6 7 4 2 3 4 , 11 0 1 2 3 4 2 -> 11 0 1 6 7 4 2 3 2 , 11 0 1 2 3 4 6 -> 11 0 1 6 7 4 2 3 6 , 11 0 1 2 3 4 5 -> 11 0 1 6 7 4 2 3 5 , 11 0 1 2 3 4 8 -> 11 0 1 6 7 4 2 3 8 , 11 0 1 2 3 4 9 -> 11 0 1 6 7 4 2 3 9 , 12 0 1 2 3 4 10 -> 12 0 1 6 7 4 2 3 10 , 12 0 1 2 3 4 4 -> 12 0 1 6 7 4 2 3 4 , 12 0 1 2 3 4 2 -> 12 0 1 6 7 4 2 3 2 , 12 0 1 2 3 4 6 -> 12 0 1 6 7 4 2 3 6 , 12 0 1 2 3 4 5 -> 12 0 1 6 7 4 2 3 5 , 12 0 1 2 3 4 8 -> 12 0 1 6 7 4 2 3 8 , 12 0 1 2 3 4 9 -> 12 0 1 6 7 4 2 3 9 , 13 0 1 2 3 4 10 -> 13 0 1 6 7 4 2 3 10 , 13 0 1 2 3 4 4 -> 13 0 1 6 7 4 2 3 4 , 13 0 1 2 3 4 2 -> 13 0 1 6 7 4 2 3 2 , 13 0 1 2 3 4 6 -> 13 0 1 6 7 4 2 3 6 , 13 0 1 2 3 4 5 -> 13 0 1 6 7 4 2 3 5 , 13 0 1 2 3 4 8 -> 13 0 1 6 7 4 2 3 8 , 13 0 1 2 3 4 9 -> 13 0 1 6 7 4 2 3 9 , 14 0 1 2 3 4 10 -> 14 0 1 6 7 4 2 3 10 , 14 0 1 2 3 4 4 -> 14 0 1 6 7 4 2 3 4 , 14 0 1 2 3 4 2 -> 14 0 1 6 7 4 2 3 2 , 14 0 1 2 3 4 6 -> 14 0 1 6 7 4 2 3 6 , 14 0 1 2 3 4 5 -> 14 0 1 6 7 4 2 3 5 , 14 0 1 2 3 4 8 -> 14 0 1 6 7 4 2 3 8 , 14 0 1 2 3 4 9 -> 14 0 1 6 7 4 2 3 9 , 15 0 1 2 3 4 10 -> 15 0 1 6 7 4 2 3 10 , 15 0 1 2 3 4 4 -> 15 0 1 6 7 4 2 3 4 , 15 0 1 2 3 4 2 -> 15 0 1 6 7 4 2 3 2 , 15 0 1 2 3 4 6 -> 15 0 1 6 7 4 2 3 6 , 15 0 1 2 3 4 5 -> 15 0 1 6 7 4 2 3 5 , 15 0 1 2 3 4 8 -> 15 0 1 6 7 4 2 3 8 , 15 0 1 2 3 4 9 -> 15 0 1 6 7 4 2 3 9 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 8->5, 6->6, 7->7, 9->8, 10->9, 5->10, 11->11, 12->12, 13->13, 14->14, 15->15 }, it remains to prove termination of the 44-rule system { 0 0 1 2 3 4 5 -> 0 0 1 6 7 4 2 3 5 , 0 0 1 2 3 4 8 -> 0 0 1 6 7 4 2 3 8 , 9 0 1 2 3 4 9 -> 9 0 1 6 7 4 2 3 9 , 9 0 1 2 3 4 4 -> 9 0 1 6 7 4 2 3 4 , 9 0 1 2 3 4 2 -> 9 0 1 6 7 4 2 3 2 , 9 0 1 2 3 4 6 -> 9 0 1 6 7 4 2 3 6 , 9 0 1 2 3 4 10 -> 9 0 1 6 7 4 2 3 10 , 9 0 1 2 3 4 5 -> 9 0 1 6 7 4 2 3 5 , 9 0 1 2 3 4 8 -> 9 0 1 6 7 4 2 3 8 , 11 0 1 2 3 4 9 -> 11 0 1 6 7 4 2 3 9 , 11 0 1 2 3 4 4 -> 11 0 1 6 7 4 2 3 4 , 11 0 1 2 3 4 2 -> 11 0 1 6 7 4 2 3 2 , 11 0 1 2 3 4 6 -> 11 0 1 6 7 4 2 3 6 , 11 0 1 2 3 4 10 -> 11 0 1 6 7 4 2 3 10 , 11 0 1 2 3 4 5 -> 11 0 1 6 7 4 2 3 5 , 11 0 1 2 3 4 8 -> 11 0 1 6 7 4 2 3 8 , 12 0 1 2 3 4 9 -> 12 0 1 6 7 4 2 3 9 , 12 0 1 2 3 4 4 -> 12 0 1 6 7 4 2 3 4 , 12 0 1 2 3 4 2 -> 12 0 1 6 7 4 2 3 2 , 12 0 1 2 3 4 6 -> 12 0 1 6 7 4 2 3 6 , 12 0 1 2 3 4 10 -> 12 0 1 6 7 4 2 3 10 , 12 0 1 2 3 4 5 -> 12 0 1 6 7 4 2 3 5 , 12 0 1 2 3 4 8 -> 12 0 1 6 7 4 2 3 8 , 13 0 1 2 3 4 9 -> 13 0 1 6 7 4 2 3 9 , 13 0 1 2 3 4 4 -> 13 0 1 6 7 4 2 3 4 , 13 0 1 2 3 4 2 -> 13 0 1 6 7 4 2 3 2 , 13 0 1 2 3 4 6 -> 13 0 1 6 7 4 2 3 6 , 13 0 1 2 3 4 10 -> 13 0 1 6 7 4 2 3 10 , 13 0 1 2 3 4 5 -> 13 0 1 6 7 4 2 3 5 , 13 0 1 2 3 4 8 -> 13 0 1 6 7 4 2 3 8 , 14 0 1 2 3 4 9 -> 14 0 1 6 7 4 2 3 9 , 14 0 1 2 3 4 4 -> 14 0 1 6 7 4 2 3 4 , 14 0 1 2 3 4 2 -> 14 0 1 6 7 4 2 3 2 , 14 0 1 2 3 4 6 -> 14 0 1 6 7 4 2 3 6 , 14 0 1 2 3 4 10 -> 14 0 1 6 7 4 2 3 10 , 14 0 1 2 3 4 5 -> 14 0 1 6 7 4 2 3 5 , 14 0 1 2 3 4 8 -> 14 0 1 6 7 4 2 3 8 , 15 0 1 2 3 4 9 -> 15 0 1 6 7 4 2 3 9 , 15 0 1 2 3 4 4 -> 15 0 1 6 7 4 2 3 4 , 15 0 1 2 3 4 2 -> 15 0 1 6 7 4 2 3 2 , 15 0 1 2 3 4 6 -> 15 0 1 6 7 4 2 3 6 , 15 0 1 2 3 4 10 -> 15 0 1 6 7 4 2 3 10 , 15 0 1 2 3 4 5 -> 15 0 1 6 7 4 2 3 5 , 15 0 1 2 3 4 8 -> 15 0 1 6 7 4 2 3 8 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 8->5, 6->6, 7->7, 9->8, 10->9, 5->10, 11->11, 12->12, 13->13, 14->14, 15->15 }, it remains to prove termination of the 43-rule system { 0 0 1 2 3 4 5 -> 0 0 1 6 7 4 2 3 5 , 8 0 1 2 3 4 8 -> 8 0 1 6 7 4 2 3 8 , 8 0 1 2 3 4 4 -> 8 0 1 6 7 4 2 3 4 , 8 0 1 2 3 4 2 -> 8 0 1 6 7 4 2 3 2 , 8 0 1 2 3 4 6 -> 8 0 1 6 7 4 2 3 6 , 8 0 1 2 3 4 9 -> 8 0 1 6 7 4 2 3 9 , 8 0 1 2 3 4 10 -> 8 0 1 6 7 4 2 3 10 , 8 0 1 2 3 4 5 -> 8 0 1 6 7 4 2 3 5 , 11 0 1 2 3 4 8 -> 11 0 1 6 7 4 2 3 8 , 11 0 1 2 3 4 4 -> 11 0 1 6 7 4 2 3 4 , 11 0 1 2 3 4 2 -> 11 0 1 6 7 4 2 3 2 , 11 0 1 2 3 4 6 -> 11 0 1 6 7 4 2 3 6 , 11 0 1 2 3 4 9 -> 11 0 1 6 7 4 2 3 9 , 11 0 1 2 3 4 10 -> 11 0 1 6 7 4 2 3 10 , 11 0 1 2 3 4 5 -> 11 0 1 6 7 4 2 3 5 , 12 0 1 2 3 4 8 -> 12 0 1 6 7 4 2 3 8 , 12 0 1 2 3 4 4 -> 12 0 1 6 7 4 2 3 4 , 12 0 1 2 3 4 2 -> 12 0 1 6 7 4 2 3 2 , 12 0 1 2 3 4 6 -> 12 0 1 6 7 4 2 3 6 , 12 0 1 2 3 4 9 -> 12 0 1 6 7 4 2 3 9 , 12 0 1 2 3 4 10 -> 12 0 1 6 7 4 2 3 10 , 12 0 1 2 3 4 5 -> 12 0 1 6 7 4 2 3 5 , 13 0 1 2 3 4 8 -> 13 0 1 6 7 4 2 3 8 , 13 0 1 2 3 4 4 -> 13 0 1 6 7 4 2 3 4 , 13 0 1 2 3 4 2 -> 13 0 1 6 7 4 2 3 2 , 13 0 1 2 3 4 6 -> 13 0 1 6 7 4 2 3 6 , 13 0 1 2 3 4 9 -> 13 0 1 6 7 4 2 3 9 , 13 0 1 2 3 4 10 -> 13 0 1 6 7 4 2 3 10 , 13 0 1 2 3 4 5 -> 13 0 1 6 7 4 2 3 5 , 14 0 1 2 3 4 8 -> 14 0 1 6 7 4 2 3 8 , 14 0 1 2 3 4 4 -> 14 0 1 6 7 4 2 3 4 , 14 0 1 2 3 4 2 -> 14 0 1 6 7 4 2 3 2 , 14 0 1 2 3 4 6 -> 14 0 1 6 7 4 2 3 6 , 14 0 1 2 3 4 9 -> 14 0 1 6 7 4 2 3 9 , 14 0 1 2 3 4 10 -> 14 0 1 6 7 4 2 3 10 , 14 0 1 2 3 4 5 -> 14 0 1 6 7 4 2 3 5 , 15 0 1 2 3 4 8 -> 15 0 1 6 7 4 2 3 8 , 15 0 1 2 3 4 4 -> 15 0 1 6 7 4 2 3 4 , 15 0 1 2 3 4 2 -> 15 0 1 6 7 4 2 3 2 , 15 0 1 2 3 4 6 -> 15 0 1 6 7 4 2 3 6 , 15 0 1 2 3 4 9 -> 15 0 1 6 7 4 2 3 9 , 15 0 1 2 3 4 10 -> 15 0 1 6 7 4 2 3 10 , 15 0 1 2 3 4 5 -> 15 0 1 6 7 4 2 3 5 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 8->0, 0->1, 1->2, 2->3, 3->4, 4->5, 6->6, 7->7, 9->8, 10->9, 5->10, 11->11, 12->12, 13->13, 14->14, 15->15 }, it remains to prove termination of the 42-rule system { 0 1 2 3 4 5 0 -> 0 1 2 6 7 5 3 4 0 , 0 1 2 3 4 5 5 -> 0 1 2 6 7 5 3 4 5 , 0 1 2 3 4 5 3 -> 0 1 2 6 7 5 3 4 3 , 0 1 2 3 4 5 6 -> 0 1 2 6 7 5 3 4 6 , 0 1 2 3 4 5 8 -> 0 1 2 6 7 5 3 4 8 , 0 1 2 3 4 5 9 -> 0 1 2 6 7 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 6 7 5 3 4 10 , 11 1 2 3 4 5 0 -> 11 1 2 6 7 5 3 4 0 , 11 1 2 3 4 5 5 -> 11 1 2 6 7 5 3 4 5 , 11 1 2 3 4 5 3 -> 11 1 2 6 7 5 3 4 3 , 11 1 2 3 4 5 6 -> 11 1 2 6 7 5 3 4 6 , 11 1 2 3 4 5 8 -> 11 1 2 6 7 5 3 4 8 , 11 1 2 3 4 5 9 -> 11 1 2 6 7 5 3 4 9 , 11 1 2 3 4 5 10 -> 11 1 2 6 7 5 3 4 10 , 12 1 2 3 4 5 0 -> 12 1 2 6 7 5 3 4 0 , 12 1 2 3 4 5 5 -> 12 1 2 6 7 5 3 4 5 , 12 1 2 3 4 5 3 -> 12 1 2 6 7 5 3 4 3 , 12 1 2 3 4 5 6 -> 12 1 2 6 7 5 3 4 6 , 12 1 2 3 4 5 8 -> 12 1 2 6 7 5 3 4 8 , 12 1 2 3 4 5 9 -> 12 1 2 6 7 5 3 4 9 , 12 1 2 3 4 5 10 -> 12 1 2 6 7 5 3 4 10 , 13 1 2 3 4 5 0 -> 13 1 2 6 7 5 3 4 0 , 13 1 2 3 4 5 5 -> 13 1 2 6 7 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 6 7 5 3 4 3 , 13 1 2 3 4 5 6 -> 13 1 2 6 7 5 3 4 6 , 13 1 2 3 4 5 8 -> 13 1 2 6 7 5 3 4 8 , 13 1 2 3 4 5 9 -> 13 1 2 6 7 5 3 4 9 , 13 1 2 3 4 5 10 -> 13 1 2 6 7 5 3 4 10 , 14 1 2 3 4 5 0 -> 14 1 2 6 7 5 3 4 0 , 14 1 2 3 4 5 5 -> 14 1 2 6 7 5 3 4 5 , 14 1 2 3 4 5 3 -> 14 1 2 6 7 5 3 4 3 , 14 1 2 3 4 5 6 -> 14 1 2 6 7 5 3 4 6 , 14 1 2 3 4 5 8 -> 14 1 2 6 7 5 3 4 8 , 14 1 2 3 4 5 9 -> 14 1 2 6 7 5 3 4 9 , 14 1 2 3 4 5 10 -> 14 1 2 6 7 5 3 4 10 , 15 1 2 3 4 5 0 -> 15 1 2 6 7 5 3 4 0 , 15 1 2 3 4 5 5 -> 15 1 2 6 7 5 3 4 5 , 15 1 2 3 4 5 3 -> 15 1 2 6 7 5 3 4 3 , 15 1 2 3 4 5 6 -> 15 1 2 6 7 5 3 4 6 , 15 1 2 3 4 5 8 -> 15 1 2 6 7 5 3 4 8 , 15 1 2 3 4 5 9 -> 15 1 2 6 7 5 3 4 9 , 15 1 2 3 4 5 10 -> 15 1 2 6 7 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15 }, it remains to prove termination of the 41-rule system { 0 1 2 3 4 5 5 -> 0 1 2 6 7 5 3 4 5 , 0 1 2 3 4 5 3 -> 0 1 2 6 7 5 3 4 3 , 0 1 2 3 4 5 6 -> 0 1 2 6 7 5 3 4 6 , 0 1 2 3 4 5 8 -> 0 1 2 6 7 5 3 4 8 , 0 1 2 3 4 5 9 -> 0 1 2 6 7 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 6 7 5 3 4 10 , 11 1 2 3 4 5 0 -> 11 1 2 6 7 5 3 4 0 , 11 1 2 3 4 5 5 -> 11 1 2 6 7 5 3 4 5 , 11 1 2 3 4 5 3 -> 11 1 2 6 7 5 3 4 3 , 11 1 2 3 4 5 6 -> 11 1 2 6 7 5 3 4 6 , 11 1 2 3 4 5 8 -> 11 1 2 6 7 5 3 4 8 , 11 1 2 3 4 5 9 -> 11 1 2 6 7 5 3 4 9 , 11 1 2 3 4 5 10 -> 11 1 2 6 7 5 3 4 10 , 12 1 2 3 4 5 0 -> 12 1 2 6 7 5 3 4 0 , 12 1 2 3 4 5 5 -> 12 1 2 6 7 5 3 4 5 , 12 1 2 3 4 5 3 -> 12 1 2 6 7 5 3 4 3 , 12 1 2 3 4 5 6 -> 12 1 2 6 7 5 3 4 6 , 12 1 2 3 4 5 8 -> 12 1 2 6 7 5 3 4 8 , 12 1 2 3 4 5 9 -> 12 1 2 6 7 5 3 4 9 , 12 1 2 3 4 5 10 -> 12 1 2 6 7 5 3 4 10 , 13 1 2 3 4 5 0 -> 13 1 2 6 7 5 3 4 0 , 13 1 2 3 4 5 5 -> 13 1 2 6 7 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 6 7 5 3 4 3 , 13 1 2 3 4 5 6 -> 13 1 2 6 7 5 3 4 6 , 13 1 2 3 4 5 8 -> 13 1 2 6 7 5 3 4 8 , 13 1 2 3 4 5 9 -> 13 1 2 6 7 5 3 4 9 , 13 1 2 3 4 5 10 -> 13 1 2 6 7 5 3 4 10 , 14 1 2 3 4 5 0 -> 14 1 2 6 7 5 3 4 0 , 14 1 2 3 4 5 5 -> 14 1 2 6 7 5 3 4 5 , 14 1 2 3 4 5 3 -> 14 1 2 6 7 5 3 4 3 , 14 1 2 3 4 5 6 -> 14 1 2 6 7 5 3 4 6 , 14 1 2 3 4 5 8 -> 14 1 2 6 7 5 3 4 8 , 14 1 2 3 4 5 9 -> 14 1 2 6 7 5 3 4 9 , 14 1 2 3 4 5 10 -> 14 1 2 6 7 5 3 4 10 , 15 1 2 3 4 5 0 -> 15 1 2 6 7 5 3 4 0 , 15 1 2 3 4 5 5 -> 15 1 2 6 7 5 3 4 5 , 15 1 2 3 4 5 3 -> 15 1 2 6 7 5 3 4 3 , 15 1 2 3 4 5 6 -> 15 1 2 6 7 5 3 4 6 , 15 1 2 3 4 5 8 -> 15 1 2 6 7 5 3 4 8 , 15 1 2 3 4 5 9 -> 15 1 2 6 7 5 3 4 9 , 15 1 2 3 4 5 10 -> 15 1 2 6 7 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 1 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15 }, it remains to prove termination of the 40-rule system { 0 1 2 3 4 5 3 -> 0 1 2 6 7 5 3 4 3 , 0 1 2 3 4 5 6 -> 0 1 2 6 7 5 3 4 6 , 0 1 2 3 4 5 8 -> 0 1 2 6 7 5 3 4 8 , 0 1 2 3 4 5 9 -> 0 1 2 6 7 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 6 7 5 3 4 10 , 11 1 2 3 4 5 0 -> 11 1 2 6 7 5 3 4 0 , 11 1 2 3 4 5 5 -> 11 1 2 6 7 5 3 4 5 , 11 1 2 3 4 5 3 -> 11 1 2 6 7 5 3 4 3 , 11 1 2 3 4 5 6 -> 11 1 2 6 7 5 3 4 6 , 11 1 2 3 4 5 8 -> 11 1 2 6 7 5 3 4 8 , 11 1 2 3 4 5 9 -> 11 1 2 6 7 5 3 4 9 , 11 1 2 3 4 5 10 -> 11 1 2 6 7 5 3 4 10 , 12 1 2 3 4 5 0 -> 12 1 2 6 7 5 3 4 0 , 12 1 2 3 4 5 5 -> 12 1 2 6 7 5 3 4 5 , 12 1 2 3 4 5 3 -> 12 1 2 6 7 5 3 4 3 , 12 1 2 3 4 5 6 -> 12 1 2 6 7 5 3 4 6 , 12 1 2 3 4 5 8 -> 12 1 2 6 7 5 3 4 8 , 12 1 2 3 4 5 9 -> 12 1 2 6 7 5 3 4 9 , 12 1 2 3 4 5 10 -> 12 1 2 6 7 5 3 4 10 , 13 1 2 3 4 5 0 -> 13 1 2 6 7 5 3 4 0 , 13 1 2 3 4 5 5 -> 13 1 2 6 7 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 6 7 5 3 4 3 , 13 1 2 3 4 5 6 -> 13 1 2 6 7 5 3 4 6 , 13 1 2 3 4 5 8 -> 13 1 2 6 7 5 3 4 8 , 13 1 2 3 4 5 9 -> 13 1 2 6 7 5 3 4 9 , 13 1 2 3 4 5 10 -> 13 1 2 6 7 5 3 4 10 , 14 1 2 3 4 5 0 -> 14 1 2 6 7 5 3 4 0 , 14 1 2 3 4 5 5 -> 14 1 2 6 7 5 3 4 5 , 14 1 2 3 4 5 3 -> 14 1 2 6 7 5 3 4 3 , 14 1 2 3 4 5 6 -> 14 1 2 6 7 5 3 4 6 , 14 1 2 3 4 5 8 -> 14 1 2 6 7 5 3 4 8 , 14 1 2 3 4 5 9 -> 14 1 2 6 7 5 3 4 9 , 14 1 2 3 4 5 10 -> 14 1 2 6 7 5 3 4 10 , 15 1 2 3 4 5 0 -> 15 1 2 6 7 5 3 4 0 , 15 1 2 3 4 5 5 -> 15 1 2 6 7 5 3 4 5 , 15 1 2 3 4 5 3 -> 15 1 2 6 7 5 3 4 3 , 15 1 2 3 4 5 6 -> 15 1 2 6 7 5 3 4 6 , 15 1 2 3 4 5 8 -> 15 1 2 6 7 5 3 4 8 , 15 1 2 3 4 5 9 -> 15 1 2 6 7 5 3 4 9 , 15 1 2 3 4 5 10 -> 15 1 2 6 7 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15 }, it remains to prove termination of the 39-rule system { 0 1 2 3 4 5 6 -> 0 1 2 6 7 5 3 4 6 , 0 1 2 3 4 5 8 -> 0 1 2 6 7 5 3 4 8 , 0 1 2 3 4 5 9 -> 0 1 2 6 7 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 6 7 5 3 4 10 , 11 1 2 3 4 5 0 -> 11 1 2 6 7 5 3 4 0 , 11 1 2 3 4 5 5 -> 11 1 2 6 7 5 3 4 5 , 11 1 2 3 4 5 3 -> 11 1 2 6 7 5 3 4 3 , 11 1 2 3 4 5 6 -> 11 1 2 6 7 5 3 4 6 , 11 1 2 3 4 5 8 -> 11 1 2 6 7 5 3 4 8 , 11 1 2 3 4 5 9 -> 11 1 2 6 7 5 3 4 9 , 11 1 2 3 4 5 10 -> 11 1 2 6 7 5 3 4 10 , 12 1 2 3 4 5 0 -> 12 1 2 6 7 5 3 4 0 , 12 1 2 3 4 5 5 -> 12 1 2 6 7 5 3 4 5 , 12 1 2 3 4 5 3 -> 12 1 2 6 7 5 3 4 3 , 12 1 2 3 4 5 6 -> 12 1 2 6 7 5 3 4 6 , 12 1 2 3 4 5 8 -> 12 1 2 6 7 5 3 4 8 , 12 1 2 3 4 5 9 -> 12 1 2 6 7 5 3 4 9 , 12 1 2 3 4 5 10 -> 12 1 2 6 7 5 3 4 10 , 13 1 2 3 4 5 0 -> 13 1 2 6 7 5 3 4 0 , 13 1 2 3 4 5 5 -> 13 1 2 6 7 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 6 7 5 3 4 3 , 13 1 2 3 4 5 6 -> 13 1 2 6 7 5 3 4 6 , 13 1 2 3 4 5 8 -> 13 1 2 6 7 5 3 4 8 , 13 1 2 3 4 5 9 -> 13 1 2 6 7 5 3 4 9 , 13 1 2 3 4 5 10 -> 13 1 2 6 7 5 3 4 10 , 14 1 2 3 4 5 0 -> 14 1 2 6 7 5 3 4 0 , 14 1 2 3 4 5 5 -> 14 1 2 6 7 5 3 4 5 , 14 1 2 3 4 5 3 -> 14 1 2 6 7 5 3 4 3 , 14 1 2 3 4 5 6 -> 14 1 2 6 7 5 3 4 6 , 14 1 2 3 4 5 8 -> 14 1 2 6 7 5 3 4 8 , 14 1 2 3 4 5 9 -> 14 1 2 6 7 5 3 4 9 , 14 1 2 3 4 5 10 -> 14 1 2 6 7 5 3 4 10 , 15 1 2 3 4 5 0 -> 15 1 2 6 7 5 3 4 0 , 15 1 2 3 4 5 5 -> 15 1 2 6 7 5 3 4 5 , 15 1 2 3 4 5 3 -> 15 1 2 6 7 5 3 4 3 , 15 1 2 3 4 5 6 -> 15 1 2 6 7 5 3 4 6 , 15 1 2 3 4 5 8 -> 15 1 2 6 7 5 3 4 8 , 15 1 2 3 4 5 9 -> 15 1 2 6 7 5 3 4 9 , 15 1 2 3 4 5 10 -> 15 1 2 6 7 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 8->6, 6->7, 7->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15 }, it remains to prove termination of the 38-rule system { 0 1 2 3 4 5 6 -> 0 1 2 7 8 5 3 4 6 , 0 1 2 3 4 5 9 -> 0 1 2 7 8 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 7 8 5 3 4 10 , 11 1 2 3 4 5 0 -> 11 1 2 7 8 5 3 4 0 , 11 1 2 3 4 5 5 -> 11 1 2 7 8 5 3 4 5 , 11 1 2 3 4 5 3 -> 11 1 2 7 8 5 3 4 3 , 11 1 2 3 4 5 7 -> 11 1 2 7 8 5 3 4 7 , 11 1 2 3 4 5 6 -> 11 1 2 7 8 5 3 4 6 , 11 1 2 3 4 5 9 -> 11 1 2 7 8 5 3 4 9 , 11 1 2 3 4 5 10 -> 11 1 2 7 8 5 3 4 10 , 12 1 2 3 4 5 0 -> 12 1 2 7 8 5 3 4 0 , 12 1 2 3 4 5 5 -> 12 1 2 7 8 5 3 4 5 , 12 1 2 3 4 5 3 -> 12 1 2 7 8 5 3 4 3 , 12 1 2 3 4 5 7 -> 12 1 2 7 8 5 3 4 7 , 12 1 2 3 4 5 6 -> 12 1 2 7 8 5 3 4 6 , 12 1 2 3 4 5 9 -> 12 1 2 7 8 5 3 4 9 , 12 1 2 3 4 5 10 -> 12 1 2 7 8 5 3 4 10 , 13 1 2 3 4 5 0 -> 13 1 2 7 8 5 3 4 0 , 13 1 2 3 4 5 5 -> 13 1 2 7 8 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 7 8 5 3 4 3 , 13 1 2 3 4 5 7 -> 13 1 2 7 8 5 3 4 7 , 13 1 2 3 4 5 6 -> 13 1 2 7 8 5 3 4 6 , 13 1 2 3 4 5 9 -> 13 1 2 7 8 5 3 4 9 , 13 1 2 3 4 5 10 -> 13 1 2 7 8 5 3 4 10 , 14 1 2 3 4 5 0 -> 14 1 2 7 8 5 3 4 0 , 14 1 2 3 4 5 5 -> 14 1 2 7 8 5 3 4 5 , 14 1 2 3 4 5 3 -> 14 1 2 7 8 5 3 4 3 , 14 1 2 3 4 5 7 -> 14 1 2 7 8 5 3 4 7 , 14 1 2 3 4 5 6 -> 14 1 2 7 8 5 3 4 6 , 14 1 2 3 4 5 9 -> 14 1 2 7 8 5 3 4 9 , 14 1 2 3 4 5 10 -> 14 1 2 7 8 5 3 4 10 , 15 1 2 3 4 5 0 -> 15 1 2 7 8 5 3 4 0 , 15 1 2 3 4 5 5 -> 15 1 2 7 8 5 3 4 5 , 15 1 2 3 4 5 3 -> 15 1 2 7 8 5 3 4 3 , 15 1 2 3 4 5 7 -> 15 1 2 7 8 5 3 4 7 , 15 1 2 3 4 5 6 -> 15 1 2 7 8 5 3 4 6 , 15 1 2 3 4 5 9 -> 15 1 2 7 8 5 3 4 9 , 15 1 2 3 4 5 10 -> 15 1 2 7 8 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 9->6, 7->7, 8->8, 10->9, 11->10, 6->11, 12->12, 13->13, 14->14, 15->15 }, it remains to prove termination of the 37-rule system { 0 1 2 3 4 5 6 -> 0 1 2 7 8 5 3 4 6 , 0 1 2 3 4 5 9 -> 0 1 2 7 8 5 3 4 9 , 10 1 2 3 4 5 0 -> 10 1 2 7 8 5 3 4 0 , 10 1 2 3 4 5 5 -> 10 1 2 7 8 5 3 4 5 , 10 1 2 3 4 5 3 -> 10 1 2 7 8 5 3 4 3 , 10 1 2 3 4 5 7 -> 10 1 2 7 8 5 3 4 7 , 10 1 2 3 4 5 11 -> 10 1 2 7 8 5 3 4 11 , 10 1 2 3 4 5 6 -> 10 1 2 7 8 5 3 4 6 , 10 1 2 3 4 5 9 -> 10 1 2 7 8 5 3 4 9 , 12 1 2 3 4 5 0 -> 12 1 2 7 8 5 3 4 0 , 12 1 2 3 4 5 5 -> 12 1 2 7 8 5 3 4 5 , 12 1 2 3 4 5 3 -> 12 1 2 7 8 5 3 4 3 , 12 1 2 3 4 5 7 -> 12 1 2 7 8 5 3 4 7 , 12 1 2 3 4 5 11 -> 12 1 2 7 8 5 3 4 11 , 12 1 2 3 4 5 6 -> 12 1 2 7 8 5 3 4 6 , 12 1 2 3 4 5 9 -> 12 1 2 7 8 5 3 4 9 , 13 1 2 3 4 5 0 -> 13 1 2 7 8 5 3 4 0 , 13 1 2 3 4 5 5 -> 13 1 2 7 8 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 7 8 5 3 4 3 , 13 1 2 3 4 5 7 -> 13 1 2 7 8 5 3 4 7 , 13 1 2 3 4 5 11 -> 13 1 2 7 8 5 3 4 11 , 13 1 2 3 4 5 6 -> 13 1 2 7 8 5 3 4 6 , 13 1 2 3 4 5 9 -> 13 1 2 7 8 5 3 4 9 , 14 1 2 3 4 5 0 -> 14 1 2 7 8 5 3 4 0 , 14 1 2 3 4 5 5 -> 14 1 2 7 8 5 3 4 5 , 14 1 2 3 4 5 3 -> 14 1 2 7 8 5 3 4 3 , 14 1 2 3 4 5 7 -> 14 1 2 7 8 5 3 4 7 , 14 1 2 3 4 5 11 -> 14 1 2 7 8 5 3 4 11 , 14 1 2 3 4 5 6 -> 14 1 2 7 8 5 3 4 6 , 14 1 2 3 4 5 9 -> 14 1 2 7 8 5 3 4 9 , 15 1 2 3 4 5 0 -> 15 1 2 7 8 5 3 4 0 , 15 1 2 3 4 5 5 -> 15 1 2 7 8 5 3 4 5 , 15 1 2 3 4 5 3 -> 15 1 2 7 8 5 3 4 3 , 15 1 2 3 4 5 7 -> 15 1 2 7 8 5 3 4 7 , 15 1 2 3 4 5 11 -> 15 1 2 7 8 5 3 4 11 , 15 1 2 3 4 5 6 -> 15 1 2 7 8 5 3 4 6 , 15 1 2 3 4 5 9 -> 15 1 2 7 8 5 3 4 9 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 9->6, 7->7, 8->8, 10->9, 11->10, 6->11, 12->12, 13->13, 14->14, 15->15 }, it remains to prove termination of the 36-rule system { 0 1 2 3 4 5 6 -> 0 1 2 7 8 5 3 4 6 , 9 1 2 3 4 5 0 -> 9 1 2 7 8 5 3 4 0 , 9 1 2 3 4 5 5 -> 9 1 2 7 8 5 3 4 5 , 9 1 2 3 4 5 3 -> 9 1 2 7 8 5 3 4 3 , 9 1 2 3 4 5 7 -> 9 1 2 7 8 5 3 4 7 , 9 1 2 3 4 5 10 -> 9 1 2 7 8 5 3 4 10 , 9 1 2 3 4 5 11 -> 9 1 2 7 8 5 3 4 11 , 9 1 2 3 4 5 6 -> 9 1 2 7 8 5 3 4 6 , 12 1 2 3 4 5 0 -> 12 1 2 7 8 5 3 4 0 , 12 1 2 3 4 5 5 -> 12 1 2 7 8 5 3 4 5 , 12 1 2 3 4 5 3 -> 12 1 2 7 8 5 3 4 3 , 12 1 2 3 4 5 7 -> 12 1 2 7 8 5 3 4 7 , 12 1 2 3 4 5 10 -> 12 1 2 7 8 5 3 4 10 , 12 1 2 3 4 5 11 -> 12 1 2 7 8 5 3 4 11 , 12 1 2 3 4 5 6 -> 12 1 2 7 8 5 3 4 6 , 13 1 2 3 4 5 0 -> 13 1 2 7 8 5 3 4 0 , 13 1 2 3 4 5 5 -> 13 1 2 7 8 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 7 8 5 3 4 3 , 13 1 2 3 4 5 7 -> 13 1 2 7 8 5 3 4 7 , 13 1 2 3 4 5 10 -> 13 1 2 7 8 5 3 4 10 , 13 1 2 3 4 5 11 -> 13 1 2 7 8 5 3 4 11 , 13 1 2 3 4 5 6 -> 13 1 2 7 8 5 3 4 6 , 14 1 2 3 4 5 0 -> 14 1 2 7 8 5 3 4 0 , 14 1 2 3 4 5 5 -> 14 1 2 7 8 5 3 4 5 , 14 1 2 3 4 5 3 -> 14 1 2 7 8 5 3 4 3 , 14 1 2 3 4 5 7 -> 14 1 2 7 8 5 3 4 7 , 14 1 2 3 4 5 10 -> 14 1 2 7 8 5 3 4 10 , 14 1 2 3 4 5 11 -> 14 1 2 7 8 5 3 4 11 , 14 1 2 3 4 5 6 -> 14 1 2 7 8 5 3 4 6 , 15 1 2 3 4 5 0 -> 15 1 2 7 8 5 3 4 0 , 15 1 2 3 4 5 5 -> 15 1 2 7 8 5 3 4 5 , 15 1 2 3 4 5 3 -> 15 1 2 7 8 5 3 4 3 , 15 1 2 3 4 5 7 -> 15 1 2 7 8 5 3 4 7 , 15 1 2 3 4 5 10 -> 15 1 2 7 8 5 3 4 10 , 15 1 2 3 4 5 11 -> 15 1 2 7 8 5 3 4 11 , 15 1 2 3 4 5 6 -> 15 1 2 7 8 5 3 4 6 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 9->0, 1->1, 2->2, 3->3, 4->4, 5->5, 0->6, 7->7, 8->8, 10->9, 11->10, 6->11, 12->12, 13->13, 14->14, 15->15 }, it remains to prove termination of the 35-rule system { 0 1 2 3 4 5 6 -> 0 1 2 7 8 5 3 4 6 , 0 1 2 3 4 5 5 -> 0 1 2 7 8 5 3 4 5 , 0 1 2 3 4 5 3 -> 0 1 2 7 8 5 3 4 3 , 0 1 2 3 4 5 7 -> 0 1 2 7 8 5 3 4 7 , 0 1 2 3 4 5 9 -> 0 1 2 7 8 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 7 8 5 3 4 10 , 0 1 2 3 4 5 11 -> 0 1 2 7 8 5 3 4 11 , 12 1 2 3 4 5 6 -> 12 1 2 7 8 5 3 4 6 , 12 1 2 3 4 5 5 -> 12 1 2 7 8 5 3 4 5 , 12 1 2 3 4 5 3 -> 12 1 2 7 8 5 3 4 3 , 12 1 2 3 4 5 7 -> 12 1 2 7 8 5 3 4 7 , 12 1 2 3 4 5 9 -> 12 1 2 7 8 5 3 4 9 , 12 1 2 3 4 5 10 -> 12 1 2 7 8 5 3 4 10 , 12 1 2 3 4 5 11 -> 12 1 2 7 8 5 3 4 11 , 13 1 2 3 4 5 6 -> 13 1 2 7 8 5 3 4 6 , 13 1 2 3 4 5 5 -> 13 1 2 7 8 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 7 8 5 3 4 3 , 13 1 2 3 4 5 7 -> 13 1 2 7 8 5 3 4 7 , 13 1 2 3 4 5 9 -> 13 1 2 7 8 5 3 4 9 , 13 1 2 3 4 5 10 -> 13 1 2 7 8 5 3 4 10 , 13 1 2 3 4 5 11 -> 13 1 2 7 8 5 3 4 11 , 14 1 2 3 4 5 6 -> 14 1 2 7 8 5 3 4 6 , 14 1 2 3 4 5 5 -> 14 1 2 7 8 5 3 4 5 , 14 1 2 3 4 5 3 -> 14 1 2 7 8 5 3 4 3 , 14 1 2 3 4 5 7 -> 14 1 2 7 8 5 3 4 7 , 14 1 2 3 4 5 9 -> 14 1 2 7 8 5 3 4 9 , 14 1 2 3 4 5 10 -> 14 1 2 7 8 5 3 4 10 , 14 1 2 3 4 5 11 -> 14 1 2 7 8 5 3 4 11 , 15 1 2 3 4 5 6 -> 15 1 2 7 8 5 3 4 6 , 15 1 2 3 4 5 5 -> 15 1 2 7 8 5 3 4 5 , 15 1 2 3 4 5 3 -> 15 1 2 7 8 5 3 4 3 , 15 1 2 3 4 5 7 -> 15 1 2 7 8 5 3 4 7 , 15 1 2 3 4 5 9 -> 15 1 2 7 8 5 3 4 9 , 15 1 2 3 4 5 10 -> 15 1 2 7 8 5 3 4 10 , 15 1 2 3 4 5 11 -> 15 1 2 7 8 5 3 4 11 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 7->6, 8->7, 9->8, 10->9, 11->10, 12->11, 6->12, 13->13, 14->14, 15->15 }, it remains to prove termination of the 34-rule system { 0 1 2 3 4 5 5 -> 0 1 2 6 7 5 3 4 5 , 0 1 2 3 4 5 3 -> 0 1 2 6 7 5 3 4 3 , 0 1 2 3 4 5 6 -> 0 1 2 6 7 5 3 4 6 , 0 1 2 3 4 5 8 -> 0 1 2 6 7 5 3 4 8 , 0 1 2 3 4 5 9 -> 0 1 2 6 7 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 6 7 5 3 4 10 , 11 1 2 3 4 5 12 -> 11 1 2 6 7 5 3 4 12 , 11 1 2 3 4 5 5 -> 11 1 2 6 7 5 3 4 5 , 11 1 2 3 4 5 3 -> 11 1 2 6 7 5 3 4 3 , 11 1 2 3 4 5 6 -> 11 1 2 6 7 5 3 4 6 , 11 1 2 3 4 5 8 -> 11 1 2 6 7 5 3 4 8 , 11 1 2 3 4 5 9 -> 11 1 2 6 7 5 3 4 9 , 11 1 2 3 4 5 10 -> 11 1 2 6 7 5 3 4 10 , 13 1 2 3 4 5 12 -> 13 1 2 6 7 5 3 4 12 , 13 1 2 3 4 5 5 -> 13 1 2 6 7 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 6 7 5 3 4 3 , 13 1 2 3 4 5 6 -> 13 1 2 6 7 5 3 4 6 , 13 1 2 3 4 5 8 -> 13 1 2 6 7 5 3 4 8 , 13 1 2 3 4 5 9 -> 13 1 2 6 7 5 3 4 9 , 13 1 2 3 4 5 10 -> 13 1 2 6 7 5 3 4 10 , 14 1 2 3 4 5 12 -> 14 1 2 6 7 5 3 4 12 , 14 1 2 3 4 5 5 -> 14 1 2 6 7 5 3 4 5 , 14 1 2 3 4 5 3 -> 14 1 2 6 7 5 3 4 3 , 14 1 2 3 4 5 6 -> 14 1 2 6 7 5 3 4 6 , 14 1 2 3 4 5 8 -> 14 1 2 6 7 5 3 4 8 , 14 1 2 3 4 5 9 -> 14 1 2 6 7 5 3 4 9 , 14 1 2 3 4 5 10 -> 14 1 2 6 7 5 3 4 10 , 15 1 2 3 4 5 12 -> 15 1 2 6 7 5 3 4 12 , 15 1 2 3 4 5 5 -> 15 1 2 6 7 5 3 4 5 , 15 1 2 3 4 5 3 -> 15 1 2 6 7 5 3 4 3 , 15 1 2 3 4 5 6 -> 15 1 2 6 7 5 3 4 6 , 15 1 2 3 4 5 8 -> 15 1 2 6 7 5 3 4 8 , 15 1 2 3 4 5 9 -> 15 1 2 6 7 5 3 4 9 , 15 1 2 3 4 5 10 -> 15 1 2 6 7 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 1 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15 }, it remains to prove termination of the 33-rule system { 0 1 2 3 4 5 3 -> 0 1 2 6 7 5 3 4 3 , 0 1 2 3 4 5 6 -> 0 1 2 6 7 5 3 4 6 , 0 1 2 3 4 5 8 -> 0 1 2 6 7 5 3 4 8 , 0 1 2 3 4 5 9 -> 0 1 2 6 7 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 6 7 5 3 4 10 , 11 1 2 3 4 5 12 -> 11 1 2 6 7 5 3 4 12 , 11 1 2 3 4 5 5 -> 11 1 2 6 7 5 3 4 5 , 11 1 2 3 4 5 3 -> 11 1 2 6 7 5 3 4 3 , 11 1 2 3 4 5 6 -> 11 1 2 6 7 5 3 4 6 , 11 1 2 3 4 5 8 -> 11 1 2 6 7 5 3 4 8 , 11 1 2 3 4 5 9 -> 11 1 2 6 7 5 3 4 9 , 11 1 2 3 4 5 10 -> 11 1 2 6 7 5 3 4 10 , 13 1 2 3 4 5 12 -> 13 1 2 6 7 5 3 4 12 , 13 1 2 3 4 5 5 -> 13 1 2 6 7 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 6 7 5 3 4 3 , 13 1 2 3 4 5 6 -> 13 1 2 6 7 5 3 4 6 , 13 1 2 3 4 5 8 -> 13 1 2 6 7 5 3 4 8 , 13 1 2 3 4 5 9 -> 13 1 2 6 7 5 3 4 9 , 13 1 2 3 4 5 10 -> 13 1 2 6 7 5 3 4 10 , 14 1 2 3 4 5 12 -> 14 1 2 6 7 5 3 4 12 , 14 1 2 3 4 5 5 -> 14 1 2 6 7 5 3 4 5 , 14 1 2 3 4 5 3 -> 14 1 2 6 7 5 3 4 3 , 14 1 2 3 4 5 6 -> 14 1 2 6 7 5 3 4 6 , 14 1 2 3 4 5 8 -> 14 1 2 6 7 5 3 4 8 , 14 1 2 3 4 5 9 -> 14 1 2 6 7 5 3 4 9 , 14 1 2 3 4 5 10 -> 14 1 2 6 7 5 3 4 10 , 15 1 2 3 4 5 12 -> 15 1 2 6 7 5 3 4 12 , 15 1 2 3 4 5 5 -> 15 1 2 6 7 5 3 4 5 , 15 1 2 3 4 5 3 -> 15 1 2 6 7 5 3 4 3 , 15 1 2 3 4 5 6 -> 15 1 2 6 7 5 3 4 6 , 15 1 2 3 4 5 8 -> 15 1 2 6 7 5 3 4 8 , 15 1 2 3 4 5 9 -> 15 1 2 6 7 5 3 4 9 , 15 1 2 3 4 5 10 -> 15 1 2 6 7 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15 }, it remains to prove termination of the 32-rule system { 0 1 2 3 4 5 6 -> 0 1 2 6 7 5 3 4 6 , 0 1 2 3 4 5 8 -> 0 1 2 6 7 5 3 4 8 , 0 1 2 3 4 5 9 -> 0 1 2 6 7 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 6 7 5 3 4 10 , 11 1 2 3 4 5 12 -> 11 1 2 6 7 5 3 4 12 , 11 1 2 3 4 5 5 -> 11 1 2 6 7 5 3 4 5 , 11 1 2 3 4 5 3 -> 11 1 2 6 7 5 3 4 3 , 11 1 2 3 4 5 6 -> 11 1 2 6 7 5 3 4 6 , 11 1 2 3 4 5 8 -> 11 1 2 6 7 5 3 4 8 , 11 1 2 3 4 5 9 -> 11 1 2 6 7 5 3 4 9 , 11 1 2 3 4 5 10 -> 11 1 2 6 7 5 3 4 10 , 13 1 2 3 4 5 12 -> 13 1 2 6 7 5 3 4 12 , 13 1 2 3 4 5 5 -> 13 1 2 6 7 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 6 7 5 3 4 3 , 13 1 2 3 4 5 6 -> 13 1 2 6 7 5 3 4 6 , 13 1 2 3 4 5 8 -> 13 1 2 6 7 5 3 4 8 , 13 1 2 3 4 5 9 -> 13 1 2 6 7 5 3 4 9 , 13 1 2 3 4 5 10 -> 13 1 2 6 7 5 3 4 10 , 14 1 2 3 4 5 12 -> 14 1 2 6 7 5 3 4 12 , 14 1 2 3 4 5 5 -> 14 1 2 6 7 5 3 4 5 , 14 1 2 3 4 5 3 -> 14 1 2 6 7 5 3 4 3 , 14 1 2 3 4 5 6 -> 14 1 2 6 7 5 3 4 6 , 14 1 2 3 4 5 8 -> 14 1 2 6 7 5 3 4 8 , 14 1 2 3 4 5 9 -> 14 1 2 6 7 5 3 4 9 , 14 1 2 3 4 5 10 -> 14 1 2 6 7 5 3 4 10 , 15 1 2 3 4 5 12 -> 15 1 2 6 7 5 3 4 12 , 15 1 2 3 4 5 5 -> 15 1 2 6 7 5 3 4 5 , 15 1 2 3 4 5 3 -> 15 1 2 6 7 5 3 4 3 , 15 1 2 3 4 5 6 -> 15 1 2 6 7 5 3 4 6 , 15 1 2 3 4 5 8 -> 15 1 2 6 7 5 3 4 8 , 15 1 2 3 4 5 9 -> 15 1 2 6 7 5 3 4 9 , 15 1 2 3 4 5 10 -> 15 1 2 6 7 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 8->6, 6->7, 7->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15 }, it remains to prove termination of the 31-rule system { 0 1 2 3 4 5 6 -> 0 1 2 7 8 5 3 4 6 , 0 1 2 3 4 5 9 -> 0 1 2 7 8 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 7 8 5 3 4 10 , 11 1 2 3 4 5 12 -> 11 1 2 7 8 5 3 4 12 , 11 1 2 3 4 5 5 -> 11 1 2 7 8 5 3 4 5 , 11 1 2 3 4 5 3 -> 11 1 2 7 8 5 3 4 3 , 11 1 2 3 4 5 7 -> 11 1 2 7 8 5 3 4 7 , 11 1 2 3 4 5 6 -> 11 1 2 7 8 5 3 4 6 , 11 1 2 3 4 5 9 -> 11 1 2 7 8 5 3 4 9 , 11 1 2 3 4 5 10 -> 11 1 2 7 8 5 3 4 10 , 13 1 2 3 4 5 12 -> 13 1 2 7 8 5 3 4 12 , 13 1 2 3 4 5 5 -> 13 1 2 7 8 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 7 8 5 3 4 3 , 13 1 2 3 4 5 7 -> 13 1 2 7 8 5 3 4 7 , 13 1 2 3 4 5 6 -> 13 1 2 7 8 5 3 4 6 , 13 1 2 3 4 5 9 -> 13 1 2 7 8 5 3 4 9 , 13 1 2 3 4 5 10 -> 13 1 2 7 8 5 3 4 10 , 14 1 2 3 4 5 12 -> 14 1 2 7 8 5 3 4 12 , 14 1 2 3 4 5 5 -> 14 1 2 7 8 5 3 4 5 , 14 1 2 3 4 5 3 -> 14 1 2 7 8 5 3 4 3 , 14 1 2 3 4 5 7 -> 14 1 2 7 8 5 3 4 7 , 14 1 2 3 4 5 6 -> 14 1 2 7 8 5 3 4 6 , 14 1 2 3 4 5 9 -> 14 1 2 7 8 5 3 4 9 , 14 1 2 3 4 5 10 -> 14 1 2 7 8 5 3 4 10 , 15 1 2 3 4 5 12 -> 15 1 2 7 8 5 3 4 12 , 15 1 2 3 4 5 5 -> 15 1 2 7 8 5 3 4 5 , 15 1 2 3 4 5 3 -> 15 1 2 7 8 5 3 4 3 , 15 1 2 3 4 5 7 -> 15 1 2 7 8 5 3 4 7 , 15 1 2 3 4 5 6 -> 15 1 2 7 8 5 3 4 6 , 15 1 2 3 4 5 9 -> 15 1 2 7 8 5 3 4 9 , 15 1 2 3 4 5 10 -> 15 1 2 7 8 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 9->6, 7->7, 8->8, 10->9, 11->10, 12->11, 6->12, 13->13, 14->14, 15->15 }, it remains to prove termination of the 30-rule system { 0 1 2 3 4 5 6 -> 0 1 2 7 8 5 3 4 6 , 0 1 2 3 4 5 9 -> 0 1 2 7 8 5 3 4 9 , 10 1 2 3 4 5 11 -> 10 1 2 7 8 5 3 4 11 , 10 1 2 3 4 5 5 -> 10 1 2 7 8 5 3 4 5 , 10 1 2 3 4 5 3 -> 10 1 2 7 8 5 3 4 3 , 10 1 2 3 4 5 7 -> 10 1 2 7 8 5 3 4 7 , 10 1 2 3 4 5 12 -> 10 1 2 7 8 5 3 4 12 , 10 1 2 3 4 5 6 -> 10 1 2 7 8 5 3 4 6 , 10 1 2 3 4 5 9 -> 10 1 2 7 8 5 3 4 9 , 13 1 2 3 4 5 11 -> 13 1 2 7 8 5 3 4 11 , 13 1 2 3 4 5 5 -> 13 1 2 7 8 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 7 8 5 3 4 3 , 13 1 2 3 4 5 7 -> 13 1 2 7 8 5 3 4 7 , 13 1 2 3 4 5 12 -> 13 1 2 7 8 5 3 4 12 , 13 1 2 3 4 5 6 -> 13 1 2 7 8 5 3 4 6 , 13 1 2 3 4 5 9 -> 13 1 2 7 8 5 3 4 9 , 14 1 2 3 4 5 11 -> 14 1 2 7 8 5 3 4 11 , 14 1 2 3 4 5 5 -> 14 1 2 7 8 5 3 4 5 , 14 1 2 3 4 5 3 -> 14 1 2 7 8 5 3 4 3 , 14 1 2 3 4 5 7 -> 14 1 2 7 8 5 3 4 7 , 14 1 2 3 4 5 12 -> 14 1 2 7 8 5 3 4 12 , 14 1 2 3 4 5 6 -> 14 1 2 7 8 5 3 4 6 , 14 1 2 3 4 5 9 -> 14 1 2 7 8 5 3 4 9 , 15 1 2 3 4 5 11 -> 15 1 2 7 8 5 3 4 11 , 15 1 2 3 4 5 5 -> 15 1 2 7 8 5 3 4 5 , 15 1 2 3 4 5 3 -> 15 1 2 7 8 5 3 4 3 , 15 1 2 3 4 5 7 -> 15 1 2 7 8 5 3 4 7 , 15 1 2 3 4 5 12 -> 15 1 2 7 8 5 3 4 12 , 15 1 2 3 4 5 6 -> 15 1 2 7 8 5 3 4 6 , 15 1 2 3 4 5 9 -> 15 1 2 7 8 5 3 4 9 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 9->6, 7->7, 8->8, 10->9, 11->10, 12->11, 6->12, 13->13, 14->14, 15->15 }, it remains to prove termination of the 29-rule system { 0 1 2 3 4 5 6 -> 0 1 2 7 8 5 3 4 6 , 9 1 2 3 4 5 10 -> 9 1 2 7 8 5 3 4 10 , 9 1 2 3 4 5 5 -> 9 1 2 7 8 5 3 4 5 , 9 1 2 3 4 5 3 -> 9 1 2 7 8 5 3 4 3 , 9 1 2 3 4 5 7 -> 9 1 2 7 8 5 3 4 7 , 9 1 2 3 4 5 11 -> 9 1 2 7 8 5 3 4 11 , 9 1 2 3 4 5 12 -> 9 1 2 7 8 5 3 4 12 , 9 1 2 3 4 5 6 -> 9 1 2 7 8 5 3 4 6 , 13 1 2 3 4 5 10 -> 13 1 2 7 8 5 3 4 10 , 13 1 2 3 4 5 5 -> 13 1 2 7 8 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 7 8 5 3 4 3 , 13 1 2 3 4 5 7 -> 13 1 2 7 8 5 3 4 7 , 13 1 2 3 4 5 11 -> 13 1 2 7 8 5 3 4 11 , 13 1 2 3 4 5 12 -> 13 1 2 7 8 5 3 4 12 , 13 1 2 3 4 5 6 -> 13 1 2 7 8 5 3 4 6 , 14 1 2 3 4 5 10 -> 14 1 2 7 8 5 3 4 10 , 14 1 2 3 4 5 5 -> 14 1 2 7 8 5 3 4 5 , 14 1 2 3 4 5 3 -> 14 1 2 7 8 5 3 4 3 , 14 1 2 3 4 5 7 -> 14 1 2 7 8 5 3 4 7 , 14 1 2 3 4 5 11 -> 14 1 2 7 8 5 3 4 11 , 14 1 2 3 4 5 12 -> 14 1 2 7 8 5 3 4 12 , 14 1 2 3 4 5 6 -> 14 1 2 7 8 5 3 4 6 , 15 1 2 3 4 5 10 -> 15 1 2 7 8 5 3 4 10 , 15 1 2 3 4 5 5 -> 15 1 2 7 8 5 3 4 5 , 15 1 2 3 4 5 3 -> 15 1 2 7 8 5 3 4 3 , 15 1 2 3 4 5 7 -> 15 1 2 7 8 5 3 4 7 , 15 1 2 3 4 5 11 -> 15 1 2 7 8 5 3 4 11 , 15 1 2 3 4 5 12 -> 15 1 2 7 8 5 3 4 12 , 15 1 2 3 4 5 6 -> 15 1 2 7 8 5 3 4 6 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 9->0, 1->1, 2->2, 3->3, 4->4, 5->5, 10->6, 7->7, 8->8, 11->9, 12->10, 6->11, 13->12, 14->13, 15->14 }, it remains to prove termination of the 28-rule system { 0 1 2 3 4 5 6 -> 0 1 2 7 8 5 3 4 6 , 0 1 2 3 4 5 5 -> 0 1 2 7 8 5 3 4 5 , 0 1 2 3 4 5 3 -> 0 1 2 7 8 5 3 4 3 , 0 1 2 3 4 5 7 -> 0 1 2 7 8 5 3 4 7 , 0 1 2 3 4 5 9 -> 0 1 2 7 8 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 7 8 5 3 4 10 , 0 1 2 3 4 5 11 -> 0 1 2 7 8 5 3 4 11 , 12 1 2 3 4 5 6 -> 12 1 2 7 8 5 3 4 6 , 12 1 2 3 4 5 5 -> 12 1 2 7 8 5 3 4 5 , 12 1 2 3 4 5 3 -> 12 1 2 7 8 5 3 4 3 , 12 1 2 3 4 5 7 -> 12 1 2 7 8 5 3 4 7 , 12 1 2 3 4 5 9 -> 12 1 2 7 8 5 3 4 9 , 12 1 2 3 4 5 10 -> 12 1 2 7 8 5 3 4 10 , 12 1 2 3 4 5 11 -> 12 1 2 7 8 5 3 4 11 , 13 1 2 3 4 5 6 -> 13 1 2 7 8 5 3 4 6 , 13 1 2 3 4 5 5 -> 13 1 2 7 8 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 7 8 5 3 4 3 , 13 1 2 3 4 5 7 -> 13 1 2 7 8 5 3 4 7 , 13 1 2 3 4 5 9 -> 13 1 2 7 8 5 3 4 9 , 13 1 2 3 4 5 10 -> 13 1 2 7 8 5 3 4 10 , 13 1 2 3 4 5 11 -> 13 1 2 7 8 5 3 4 11 , 14 1 2 3 4 5 6 -> 14 1 2 7 8 5 3 4 6 , 14 1 2 3 4 5 5 -> 14 1 2 7 8 5 3 4 5 , 14 1 2 3 4 5 3 -> 14 1 2 7 8 5 3 4 3 , 14 1 2 3 4 5 7 -> 14 1 2 7 8 5 3 4 7 , 14 1 2 3 4 5 9 -> 14 1 2 7 8 5 3 4 9 , 14 1 2 3 4 5 10 -> 14 1 2 7 8 5 3 4 10 , 14 1 2 3 4 5 11 -> 14 1 2 7 8 5 3 4 11 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 7->6, 8->7, 9->8, 10->9, 11->10, 12->11, 6->12, 13->13, 14->14 }, it remains to prove termination of the 27-rule system { 0 1 2 3 4 5 5 -> 0 1 2 6 7 5 3 4 5 , 0 1 2 3 4 5 3 -> 0 1 2 6 7 5 3 4 3 , 0 1 2 3 4 5 6 -> 0 1 2 6 7 5 3 4 6 , 0 1 2 3 4 5 8 -> 0 1 2 6 7 5 3 4 8 , 0 1 2 3 4 5 9 -> 0 1 2 6 7 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 6 7 5 3 4 10 , 11 1 2 3 4 5 12 -> 11 1 2 6 7 5 3 4 12 , 11 1 2 3 4 5 5 -> 11 1 2 6 7 5 3 4 5 , 11 1 2 3 4 5 3 -> 11 1 2 6 7 5 3 4 3 , 11 1 2 3 4 5 6 -> 11 1 2 6 7 5 3 4 6 , 11 1 2 3 4 5 8 -> 11 1 2 6 7 5 3 4 8 , 11 1 2 3 4 5 9 -> 11 1 2 6 7 5 3 4 9 , 11 1 2 3 4 5 10 -> 11 1 2 6 7 5 3 4 10 , 13 1 2 3 4 5 12 -> 13 1 2 6 7 5 3 4 12 , 13 1 2 3 4 5 5 -> 13 1 2 6 7 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 6 7 5 3 4 3 , 13 1 2 3 4 5 6 -> 13 1 2 6 7 5 3 4 6 , 13 1 2 3 4 5 8 -> 13 1 2 6 7 5 3 4 8 , 13 1 2 3 4 5 9 -> 13 1 2 6 7 5 3 4 9 , 13 1 2 3 4 5 10 -> 13 1 2 6 7 5 3 4 10 , 14 1 2 3 4 5 12 -> 14 1 2 6 7 5 3 4 12 , 14 1 2 3 4 5 5 -> 14 1 2 6 7 5 3 4 5 , 14 1 2 3 4 5 3 -> 14 1 2 6 7 5 3 4 3 , 14 1 2 3 4 5 6 -> 14 1 2 6 7 5 3 4 6 , 14 1 2 3 4 5 8 -> 14 1 2 6 7 5 3 4 8 , 14 1 2 3 4 5 9 -> 14 1 2 6 7 5 3 4 9 , 14 1 2 3 4 5 10 -> 14 1 2 6 7 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 1 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14 }, it remains to prove termination of the 26-rule system { 0 1 2 3 4 5 3 -> 0 1 2 6 7 5 3 4 3 , 0 1 2 3 4 5 6 -> 0 1 2 6 7 5 3 4 6 , 0 1 2 3 4 5 8 -> 0 1 2 6 7 5 3 4 8 , 0 1 2 3 4 5 9 -> 0 1 2 6 7 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 6 7 5 3 4 10 , 11 1 2 3 4 5 12 -> 11 1 2 6 7 5 3 4 12 , 11 1 2 3 4 5 5 -> 11 1 2 6 7 5 3 4 5 , 11 1 2 3 4 5 3 -> 11 1 2 6 7 5 3 4 3 , 11 1 2 3 4 5 6 -> 11 1 2 6 7 5 3 4 6 , 11 1 2 3 4 5 8 -> 11 1 2 6 7 5 3 4 8 , 11 1 2 3 4 5 9 -> 11 1 2 6 7 5 3 4 9 , 11 1 2 3 4 5 10 -> 11 1 2 6 7 5 3 4 10 , 13 1 2 3 4 5 12 -> 13 1 2 6 7 5 3 4 12 , 13 1 2 3 4 5 5 -> 13 1 2 6 7 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 6 7 5 3 4 3 , 13 1 2 3 4 5 6 -> 13 1 2 6 7 5 3 4 6 , 13 1 2 3 4 5 8 -> 13 1 2 6 7 5 3 4 8 , 13 1 2 3 4 5 9 -> 13 1 2 6 7 5 3 4 9 , 13 1 2 3 4 5 10 -> 13 1 2 6 7 5 3 4 10 , 14 1 2 3 4 5 12 -> 14 1 2 6 7 5 3 4 12 , 14 1 2 3 4 5 5 -> 14 1 2 6 7 5 3 4 5 , 14 1 2 3 4 5 3 -> 14 1 2 6 7 5 3 4 3 , 14 1 2 3 4 5 6 -> 14 1 2 6 7 5 3 4 6 , 14 1 2 3 4 5 8 -> 14 1 2 6 7 5 3 4 8 , 14 1 2 3 4 5 9 -> 14 1 2 6 7 5 3 4 9 , 14 1 2 3 4 5 10 -> 14 1 2 6 7 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14 }, it remains to prove termination of the 25-rule system { 0 1 2 3 4 5 6 -> 0 1 2 6 7 5 3 4 6 , 0 1 2 3 4 5 8 -> 0 1 2 6 7 5 3 4 8 , 0 1 2 3 4 5 9 -> 0 1 2 6 7 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 6 7 5 3 4 10 , 11 1 2 3 4 5 12 -> 11 1 2 6 7 5 3 4 12 , 11 1 2 3 4 5 5 -> 11 1 2 6 7 5 3 4 5 , 11 1 2 3 4 5 3 -> 11 1 2 6 7 5 3 4 3 , 11 1 2 3 4 5 6 -> 11 1 2 6 7 5 3 4 6 , 11 1 2 3 4 5 8 -> 11 1 2 6 7 5 3 4 8 , 11 1 2 3 4 5 9 -> 11 1 2 6 7 5 3 4 9 , 11 1 2 3 4 5 10 -> 11 1 2 6 7 5 3 4 10 , 13 1 2 3 4 5 12 -> 13 1 2 6 7 5 3 4 12 , 13 1 2 3 4 5 5 -> 13 1 2 6 7 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 6 7 5 3 4 3 , 13 1 2 3 4 5 6 -> 13 1 2 6 7 5 3 4 6 , 13 1 2 3 4 5 8 -> 13 1 2 6 7 5 3 4 8 , 13 1 2 3 4 5 9 -> 13 1 2 6 7 5 3 4 9 , 13 1 2 3 4 5 10 -> 13 1 2 6 7 5 3 4 10 , 14 1 2 3 4 5 12 -> 14 1 2 6 7 5 3 4 12 , 14 1 2 3 4 5 5 -> 14 1 2 6 7 5 3 4 5 , 14 1 2 3 4 5 3 -> 14 1 2 6 7 5 3 4 3 , 14 1 2 3 4 5 6 -> 14 1 2 6 7 5 3 4 6 , 14 1 2 3 4 5 8 -> 14 1 2 6 7 5 3 4 8 , 14 1 2 3 4 5 9 -> 14 1 2 6 7 5 3 4 9 , 14 1 2 3 4 5 10 -> 14 1 2 6 7 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 8->6, 6->7, 7->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14 }, it remains to prove termination of the 24-rule system { 0 1 2 3 4 5 6 -> 0 1 2 7 8 5 3 4 6 , 0 1 2 3 4 5 9 -> 0 1 2 7 8 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 7 8 5 3 4 10 , 11 1 2 3 4 5 12 -> 11 1 2 7 8 5 3 4 12 , 11 1 2 3 4 5 5 -> 11 1 2 7 8 5 3 4 5 , 11 1 2 3 4 5 3 -> 11 1 2 7 8 5 3 4 3 , 11 1 2 3 4 5 7 -> 11 1 2 7 8 5 3 4 7 , 11 1 2 3 4 5 6 -> 11 1 2 7 8 5 3 4 6 , 11 1 2 3 4 5 9 -> 11 1 2 7 8 5 3 4 9 , 11 1 2 3 4 5 10 -> 11 1 2 7 8 5 3 4 10 , 13 1 2 3 4 5 12 -> 13 1 2 7 8 5 3 4 12 , 13 1 2 3 4 5 5 -> 13 1 2 7 8 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 7 8 5 3 4 3 , 13 1 2 3 4 5 7 -> 13 1 2 7 8 5 3 4 7 , 13 1 2 3 4 5 6 -> 13 1 2 7 8 5 3 4 6 , 13 1 2 3 4 5 9 -> 13 1 2 7 8 5 3 4 9 , 13 1 2 3 4 5 10 -> 13 1 2 7 8 5 3 4 10 , 14 1 2 3 4 5 12 -> 14 1 2 7 8 5 3 4 12 , 14 1 2 3 4 5 5 -> 14 1 2 7 8 5 3 4 5 , 14 1 2 3 4 5 3 -> 14 1 2 7 8 5 3 4 3 , 14 1 2 3 4 5 7 -> 14 1 2 7 8 5 3 4 7 , 14 1 2 3 4 5 6 -> 14 1 2 7 8 5 3 4 6 , 14 1 2 3 4 5 9 -> 14 1 2 7 8 5 3 4 9 , 14 1 2 3 4 5 10 -> 14 1 2 7 8 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 9->6, 7->7, 8->8, 10->9, 11->10, 12->11, 6->12, 13->13, 14->14 }, it remains to prove termination of the 23-rule system { 0 1 2 3 4 5 6 -> 0 1 2 7 8 5 3 4 6 , 0 1 2 3 4 5 9 -> 0 1 2 7 8 5 3 4 9 , 10 1 2 3 4 5 11 -> 10 1 2 7 8 5 3 4 11 , 10 1 2 3 4 5 5 -> 10 1 2 7 8 5 3 4 5 , 10 1 2 3 4 5 3 -> 10 1 2 7 8 5 3 4 3 , 10 1 2 3 4 5 7 -> 10 1 2 7 8 5 3 4 7 , 10 1 2 3 4 5 12 -> 10 1 2 7 8 5 3 4 12 , 10 1 2 3 4 5 6 -> 10 1 2 7 8 5 3 4 6 , 10 1 2 3 4 5 9 -> 10 1 2 7 8 5 3 4 9 , 13 1 2 3 4 5 11 -> 13 1 2 7 8 5 3 4 11 , 13 1 2 3 4 5 5 -> 13 1 2 7 8 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 7 8 5 3 4 3 , 13 1 2 3 4 5 7 -> 13 1 2 7 8 5 3 4 7 , 13 1 2 3 4 5 12 -> 13 1 2 7 8 5 3 4 12 , 13 1 2 3 4 5 6 -> 13 1 2 7 8 5 3 4 6 , 13 1 2 3 4 5 9 -> 13 1 2 7 8 5 3 4 9 , 14 1 2 3 4 5 11 -> 14 1 2 7 8 5 3 4 11 , 14 1 2 3 4 5 5 -> 14 1 2 7 8 5 3 4 5 , 14 1 2 3 4 5 3 -> 14 1 2 7 8 5 3 4 3 , 14 1 2 3 4 5 7 -> 14 1 2 7 8 5 3 4 7 , 14 1 2 3 4 5 12 -> 14 1 2 7 8 5 3 4 12 , 14 1 2 3 4 5 6 -> 14 1 2 7 8 5 3 4 6 , 14 1 2 3 4 5 9 -> 14 1 2 7 8 5 3 4 9 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 9->6, 7->7, 8->8, 10->9, 11->10, 12->11, 6->12, 13->13, 14->14 }, it remains to prove termination of the 22-rule system { 0 1 2 3 4 5 6 -> 0 1 2 7 8 5 3 4 6 , 9 1 2 3 4 5 10 -> 9 1 2 7 8 5 3 4 10 , 9 1 2 3 4 5 5 -> 9 1 2 7 8 5 3 4 5 , 9 1 2 3 4 5 3 -> 9 1 2 7 8 5 3 4 3 , 9 1 2 3 4 5 7 -> 9 1 2 7 8 5 3 4 7 , 9 1 2 3 4 5 11 -> 9 1 2 7 8 5 3 4 11 , 9 1 2 3 4 5 12 -> 9 1 2 7 8 5 3 4 12 , 9 1 2 3 4 5 6 -> 9 1 2 7 8 5 3 4 6 , 13 1 2 3 4 5 10 -> 13 1 2 7 8 5 3 4 10 , 13 1 2 3 4 5 5 -> 13 1 2 7 8 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 7 8 5 3 4 3 , 13 1 2 3 4 5 7 -> 13 1 2 7 8 5 3 4 7 , 13 1 2 3 4 5 11 -> 13 1 2 7 8 5 3 4 11 , 13 1 2 3 4 5 12 -> 13 1 2 7 8 5 3 4 12 , 13 1 2 3 4 5 6 -> 13 1 2 7 8 5 3 4 6 , 14 1 2 3 4 5 10 -> 14 1 2 7 8 5 3 4 10 , 14 1 2 3 4 5 5 -> 14 1 2 7 8 5 3 4 5 , 14 1 2 3 4 5 3 -> 14 1 2 7 8 5 3 4 3 , 14 1 2 3 4 5 7 -> 14 1 2 7 8 5 3 4 7 , 14 1 2 3 4 5 11 -> 14 1 2 7 8 5 3 4 11 , 14 1 2 3 4 5 12 -> 14 1 2 7 8 5 3 4 12 , 14 1 2 3 4 5 6 -> 14 1 2 7 8 5 3 4 6 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 9->0, 1->1, 2->2, 3->3, 4->4, 5->5, 10->6, 7->7, 8->8, 11->9, 12->10, 6->11, 13->12, 14->13 }, it remains to prove termination of the 21-rule system { 0 1 2 3 4 5 6 -> 0 1 2 7 8 5 3 4 6 , 0 1 2 3 4 5 5 -> 0 1 2 7 8 5 3 4 5 , 0 1 2 3 4 5 3 -> 0 1 2 7 8 5 3 4 3 , 0 1 2 3 4 5 7 -> 0 1 2 7 8 5 3 4 7 , 0 1 2 3 4 5 9 -> 0 1 2 7 8 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 7 8 5 3 4 10 , 0 1 2 3 4 5 11 -> 0 1 2 7 8 5 3 4 11 , 12 1 2 3 4 5 6 -> 12 1 2 7 8 5 3 4 6 , 12 1 2 3 4 5 5 -> 12 1 2 7 8 5 3 4 5 , 12 1 2 3 4 5 3 -> 12 1 2 7 8 5 3 4 3 , 12 1 2 3 4 5 7 -> 12 1 2 7 8 5 3 4 7 , 12 1 2 3 4 5 9 -> 12 1 2 7 8 5 3 4 9 , 12 1 2 3 4 5 10 -> 12 1 2 7 8 5 3 4 10 , 12 1 2 3 4 5 11 -> 12 1 2 7 8 5 3 4 11 , 13 1 2 3 4 5 6 -> 13 1 2 7 8 5 3 4 6 , 13 1 2 3 4 5 5 -> 13 1 2 7 8 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 7 8 5 3 4 3 , 13 1 2 3 4 5 7 -> 13 1 2 7 8 5 3 4 7 , 13 1 2 3 4 5 9 -> 13 1 2 7 8 5 3 4 9 , 13 1 2 3 4 5 10 -> 13 1 2 7 8 5 3 4 10 , 13 1 2 3 4 5 11 -> 13 1 2 7 8 5 3 4 11 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 7->6, 8->7, 9->8, 10->9, 11->10, 12->11, 6->12, 13->13 }, it remains to prove termination of the 20-rule system { 0 1 2 3 4 5 5 -> 0 1 2 6 7 5 3 4 5 , 0 1 2 3 4 5 3 -> 0 1 2 6 7 5 3 4 3 , 0 1 2 3 4 5 6 -> 0 1 2 6 7 5 3 4 6 , 0 1 2 3 4 5 8 -> 0 1 2 6 7 5 3 4 8 , 0 1 2 3 4 5 9 -> 0 1 2 6 7 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 6 7 5 3 4 10 , 11 1 2 3 4 5 12 -> 11 1 2 6 7 5 3 4 12 , 11 1 2 3 4 5 5 -> 11 1 2 6 7 5 3 4 5 , 11 1 2 3 4 5 3 -> 11 1 2 6 7 5 3 4 3 , 11 1 2 3 4 5 6 -> 11 1 2 6 7 5 3 4 6 , 11 1 2 3 4 5 8 -> 11 1 2 6 7 5 3 4 8 , 11 1 2 3 4 5 9 -> 11 1 2 6 7 5 3 4 9 , 11 1 2 3 4 5 10 -> 11 1 2 6 7 5 3 4 10 , 13 1 2 3 4 5 12 -> 13 1 2 6 7 5 3 4 12 , 13 1 2 3 4 5 5 -> 13 1 2 6 7 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 6 7 5 3 4 3 , 13 1 2 3 4 5 6 -> 13 1 2 6 7 5 3 4 6 , 13 1 2 3 4 5 8 -> 13 1 2 6 7 5 3 4 8 , 13 1 2 3 4 5 9 -> 13 1 2 6 7 5 3 4 9 , 13 1 2 3 4 5 10 -> 13 1 2 6 7 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 1 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13 }, it remains to prove termination of the 19-rule system { 0 1 2 3 4 5 3 -> 0 1 2 6 7 5 3 4 3 , 0 1 2 3 4 5 6 -> 0 1 2 6 7 5 3 4 6 , 0 1 2 3 4 5 8 -> 0 1 2 6 7 5 3 4 8 , 0 1 2 3 4 5 9 -> 0 1 2 6 7 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 6 7 5 3 4 10 , 11 1 2 3 4 5 12 -> 11 1 2 6 7 5 3 4 12 , 11 1 2 3 4 5 5 -> 11 1 2 6 7 5 3 4 5 , 11 1 2 3 4 5 3 -> 11 1 2 6 7 5 3 4 3 , 11 1 2 3 4 5 6 -> 11 1 2 6 7 5 3 4 6 , 11 1 2 3 4 5 8 -> 11 1 2 6 7 5 3 4 8 , 11 1 2 3 4 5 9 -> 11 1 2 6 7 5 3 4 9 , 11 1 2 3 4 5 10 -> 11 1 2 6 7 5 3 4 10 , 13 1 2 3 4 5 12 -> 13 1 2 6 7 5 3 4 12 , 13 1 2 3 4 5 5 -> 13 1 2 6 7 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 6 7 5 3 4 3 , 13 1 2 3 4 5 6 -> 13 1 2 6 7 5 3 4 6 , 13 1 2 3 4 5 8 -> 13 1 2 6 7 5 3 4 8 , 13 1 2 3 4 5 9 -> 13 1 2 6 7 5 3 4 9 , 13 1 2 3 4 5 10 -> 13 1 2 6 7 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13 }, it remains to prove termination of the 18-rule system { 0 1 2 3 4 5 6 -> 0 1 2 6 7 5 3 4 6 , 0 1 2 3 4 5 8 -> 0 1 2 6 7 5 3 4 8 , 0 1 2 3 4 5 9 -> 0 1 2 6 7 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 6 7 5 3 4 10 , 11 1 2 3 4 5 12 -> 11 1 2 6 7 5 3 4 12 , 11 1 2 3 4 5 5 -> 11 1 2 6 7 5 3 4 5 , 11 1 2 3 4 5 3 -> 11 1 2 6 7 5 3 4 3 , 11 1 2 3 4 5 6 -> 11 1 2 6 7 5 3 4 6 , 11 1 2 3 4 5 8 -> 11 1 2 6 7 5 3 4 8 , 11 1 2 3 4 5 9 -> 11 1 2 6 7 5 3 4 9 , 11 1 2 3 4 5 10 -> 11 1 2 6 7 5 3 4 10 , 13 1 2 3 4 5 12 -> 13 1 2 6 7 5 3 4 12 , 13 1 2 3 4 5 5 -> 13 1 2 6 7 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 6 7 5 3 4 3 , 13 1 2 3 4 5 6 -> 13 1 2 6 7 5 3 4 6 , 13 1 2 3 4 5 8 -> 13 1 2 6 7 5 3 4 8 , 13 1 2 3 4 5 9 -> 13 1 2 6 7 5 3 4 9 , 13 1 2 3 4 5 10 -> 13 1 2 6 7 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 8->6, 6->7, 7->8, 9->9, 10->10, 11->11, 12->12, 13->13 }, it remains to prove termination of the 17-rule system { 0 1 2 3 4 5 6 -> 0 1 2 7 8 5 3 4 6 , 0 1 2 3 4 5 9 -> 0 1 2 7 8 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 7 8 5 3 4 10 , 11 1 2 3 4 5 12 -> 11 1 2 7 8 5 3 4 12 , 11 1 2 3 4 5 5 -> 11 1 2 7 8 5 3 4 5 , 11 1 2 3 4 5 3 -> 11 1 2 7 8 5 3 4 3 , 11 1 2 3 4 5 7 -> 11 1 2 7 8 5 3 4 7 , 11 1 2 3 4 5 6 -> 11 1 2 7 8 5 3 4 6 , 11 1 2 3 4 5 9 -> 11 1 2 7 8 5 3 4 9 , 11 1 2 3 4 5 10 -> 11 1 2 7 8 5 3 4 10 , 13 1 2 3 4 5 12 -> 13 1 2 7 8 5 3 4 12 , 13 1 2 3 4 5 5 -> 13 1 2 7 8 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 7 8 5 3 4 3 , 13 1 2 3 4 5 7 -> 13 1 2 7 8 5 3 4 7 , 13 1 2 3 4 5 6 -> 13 1 2 7 8 5 3 4 6 , 13 1 2 3 4 5 9 -> 13 1 2 7 8 5 3 4 9 , 13 1 2 3 4 5 10 -> 13 1 2 7 8 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 9->6, 7->7, 8->8, 10->9, 11->10, 12->11, 6->12, 13->13 }, it remains to prove termination of the 16-rule system { 0 1 2 3 4 5 6 -> 0 1 2 7 8 5 3 4 6 , 0 1 2 3 4 5 9 -> 0 1 2 7 8 5 3 4 9 , 10 1 2 3 4 5 11 -> 10 1 2 7 8 5 3 4 11 , 10 1 2 3 4 5 5 -> 10 1 2 7 8 5 3 4 5 , 10 1 2 3 4 5 3 -> 10 1 2 7 8 5 3 4 3 , 10 1 2 3 4 5 7 -> 10 1 2 7 8 5 3 4 7 , 10 1 2 3 4 5 12 -> 10 1 2 7 8 5 3 4 12 , 10 1 2 3 4 5 6 -> 10 1 2 7 8 5 3 4 6 , 10 1 2 3 4 5 9 -> 10 1 2 7 8 5 3 4 9 , 13 1 2 3 4 5 11 -> 13 1 2 7 8 5 3 4 11 , 13 1 2 3 4 5 5 -> 13 1 2 7 8 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 7 8 5 3 4 3 , 13 1 2 3 4 5 7 -> 13 1 2 7 8 5 3 4 7 , 13 1 2 3 4 5 12 -> 13 1 2 7 8 5 3 4 12 , 13 1 2 3 4 5 6 -> 13 1 2 7 8 5 3 4 6 , 13 1 2 3 4 5 9 -> 13 1 2 7 8 5 3 4 9 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 9->6, 7->7, 8->8, 10->9, 11->10, 12->11, 6->12, 13->13 }, it remains to prove termination of the 15-rule system { 0 1 2 3 4 5 6 -> 0 1 2 7 8 5 3 4 6 , 9 1 2 3 4 5 10 -> 9 1 2 7 8 5 3 4 10 , 9 1 2 3 4 5 5 -> 9 1 2 7 8 5 3 4 5 , 9 1 2 3 4 5 3 -> 9 1 2 7 8 5 3 4 3 , 9 1 2 3 4 5 7 -> 9 1 2 7 8 5 3 4 7 , 9 1 2 3 4 5 11 -> 9 1 2 7 8 5 3 4 11 , 9 1 2 3 4 5 12 -> 9 1 2 7 8 5 3 4 12 , 9 1 2 3 4 5 6 -> 9 1 2 7 8 5 3 4 6 , 13 1 2 3 4 5 10 -> 13 1 2 7 8 5 3 4 10 , 13 1 2 3 4 5 5 -> 13 1 2 7 8 5 3 4 5 , 13 1 2 3 4 5 3 -> 13 1 2 7 8 5 3 4 3 , 13 1 2 3 4 5 7 -> 13 1 2 7 8 5 3 4 7 , 13 1 2 3 4 5 11 -> 13 1 2 7 8 5 3 4 11 , 13 1 2 3 4 5 12 -> 13 1 2 7 8 5 3 4 12 , 13 1 2 3 4 5 6 -> 13 1 2 7 8 5 3 4 6 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 9->0, 1->1, 2->2, 3->3, 4->4, 5->5, 10->6, 7->7, 8->8, 11->9, 12->10, 6->11, 13->12 }, it remains to prove termination of the 14-rule system { 0 1 2 3 4 5 6 -> 0 1 2 7 8 5 3 4 6 , 0 1 2 3 4 5 5 -> 0 1 2 7 8 5 3 4 5 , 0 1 2 3 4 5 3 -> 0 1 2 7 8 5 3 4 3 , 0 1 2 3 4 5 7 -> 0 1 2 7 8 5 3 4 7 , 0 1 2 3 4 5 9 -> 0 1 2 7 8 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 7 8 5 3 4 10 , 0 1 2 3 4 5 11 -> 0 1 2 7 8 5 3 4 11 , 12 1 2 3 4 5 6 -> 12 1 2 7 8 5 3 4 6 , 12 1 2 3 4 5 5 -> 12 1 2 7 8 5 3 4 5 , 12 1 2 3 4 5 3 -> 12 1 2 7 8 5 3 4 3 , 12 1 2 3 4 5 7 -> 12 1 2 7 8 5 3 4 7 , 12 1 2 3 4 5 9 -> 12 1 2 7 8 5 3 4 9 , 12 1 2 3 4 5 10 -> 12 1 2 7 8 5 3 4 10 , 12 1 2 3 4 5 11 -> 12 1 2 7 8 5 3 4 11 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 7->6, 8->7, 9->8, 10->9, 11->10, 12->11, 6->12 }, it remains to prove termination of the 13-rule system { 0 1 2 3 4 5 5 -> 0 1 2 6 7 5 3 4 5 , 0 1 2 3 4 5 3 -> 0 1 2 6 7 5 3 4 3 , 0 1 2 3 4 5 6 -> 0 1 2 6 7 5 3 4 6 , 0 1 2 3 4 5 8 -> 0 1 2 6 7 5 3 4 8 , 0 1 2 3 4 5 9 -> 0 1 2 6 7 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 6 7 5 3 4 10 , 11 1 2 3 4 5 12 -> 11 1 2 6 7 5 3 4 12 , 11 1 2 3 4 5 5 -> 11 1 2 6 7 5 3 4 5 , 11 1 2 3 4 5 3 -> 11 1 2 6 7 5 3 4 3 , 11 1 2 3 4 5 6 -> 11 1 2 6 7 5 3 4 6 , 11 1 2 3 4 5 8 -> 11 1 2 6 7 5 3 4 8 , 11 1 2 3 4 5 9 -> 11 1 2 6 7 5 3 4 9 , 11 1 2 3 4 5 10 -> 11 1 2 6 7 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 1 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12 }, it remains to prove termination of the 12-rule system { 0 1 2 3 4 5 3 -> 0 1 2 6 7 5 3 4 3 , 0 1 2 3 4 5 6 -> 0 1 2 6 7 5 3 4 6 , 0 1 2 3 4 5 8 -> 0 1 2 6 7 5 3 4 8 , 0 1 2 3 4 5 9 -> 0 1 2 6 7 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 6 7 5 3 4 10 , 11 1 2 3 4 5 12 -> 11 1 2 6 7 5 3 4 12 , 11 1 2 3 4 5 5 -> 11 1 2 6 7 5 3 4 5 , 11 1 2 3 4 5 3 -> 11 1 2 6 7 5 3 4 3 , 11 1 2 3 4 5 6 -> 11 1 2 6 7 5 3 4 6 , 11 1 2 3 4 5 8 -> 11 1 2 6 7 5 3 4 8 , 11 1 2 3 4 5 9 -> 11 1 2 6 7 5 3 4 9 , 11 1 2 3 4 5 10 -> 11 1 2 6 7 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12 }, it remains to prove termination of the 11-rule system { 0 1 2 3 4 5 6 -> 0 1 2 6 7 5 3 4 6 , 0 1 2 3 4 5 8 -> 0 1 2 6 7 5 3 4 8 , 0 1 2 3 4 5 9 -> 0 1 2 6 7 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 6 7 5 3 4 10 , 11 1 2 3 4 5 12 -> 11 1 2 6 7 5 3 4 12 , 11 1 2 3 4 5 5 -> 11 1 2 6 7 5 3 4 5 , 11 1 2 3 4 5 3 -> 11 1 2 6 7 5 3 4 3 , 11 1 2 3 4 5 6 -> 11 1 2 6 7 5 3 4 6 , 11 1 2 3 4 5 8 -> 11 1 2 6 7 5 3 4 8 , 11 1 2 3 4 5 9 -> 11 1 2 6 7 5 3 4 9 , 11 1 2 3 4 5 10 -> 11 1 2 6 7 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 8->6, 6->7, 7->8, 9->9, 10->10, 11->11, 12->12 }, it remains to prove termination of the 10-rule system { 0 1 2 3 4 5 6 -> 0 1 2 7 8 5 3 4 6 , 0 1 2 3 4 5 9 -> 0 1 2 7 8 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 7 8 5 3 4 10 , 11 1 2 3 4 5 12 -> 11 1 2 7 8 5 3 4 12 , 11 1 2 3 4 5 5 -> 11 1 2 7 8 5 3 4 5 , 11 1 2 3 4 5 3 -> 11 1 2 7 8 5 3 4 3 , 11 1 2 3 4 5 7 -> 11 1 2 7 8 5 3 4 7 , 11 1 2 3 4 5 6 -> 11 1 2 7 8 5 3 4 6 , 11 1 2 3 4 5 9 -> 11 1 2 7 8 5 3 4 9 , 11 1 2 3 4 5 10 -> 11 1 2 7 8 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 9->6, 7->7, 8->8, 10->9, 11->10, 12->11, 6->12 }, it remains to prove termination of the 9-rule system { 0 1 2 3 4 5 6 -> 0 1 2 7 8 5 3 4 6 , 0 1 2 3 4 5 9 -> 0 1 2 7 8 5 3 4 9 , 10 1 2 3 4 5 11 -> 10 1 2 7 8 5 3 4 11 , 10 1 2 3 4 5 5 -> 10 1 2 7 8 5 3 4 5 , 10 1 2 3 4 5 3 -> 10 1 2 7 8 5 3 4 3 , 10 1 2 3 4 5 7 -> 10 1 2 7 8 5 3 4 7 , 10 1 2 3 4 5 12 -> 10 1 2 7 8 5 3 4 12 , 10 1 2 3 4 5 6 -> 10 1 2 7 8 5 3 4 6 , 10 1 2 3 4 5 9 -> 10 1 2 7 8 5 3 4 9 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 9->6, 7->7, 8->8, 10->9, 11->10, 12->11, 6->12 }, it remains to prove termination of the 8-rule system { 0 1 2 3 4 5 6 -> 0 1 2 7 8 5 3 4 6 , 9 1 2 3 4 5 10 -> 9 1 2 7 8 5 3 4 10 , 9 1 2 3 4 5 5 -> 9 1 2 7 8 5 3 4 5 , 9 1 2 3 4 5 3 -> 9 1 2 7 8 5 3 4 3 , 9 1 2 3 4 5 7 -> 9 1 2 7 8 5 3 4 7 , 9 1 2 3 4 5 11 -> 9 1 2 7 8 5 3 4 11 , 9 1 2 3 4 5 12 -> 9 1 2 7 8 5 3 4 12 , 9 1 2 3 4 5 6 -> 9 1 2 7 8 5 3 4 6 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 9->0, 1->1, 2->2, 3->3, 4->4, 5->5, 10->6, 7->7, 8->8, 11->9, 12->10, 6->11 }, it remains to prove termination of the 7-rule system { 0 1 2 3 4 5 6 -> 0 1 2 7 8 5 3 4 6 , 0 1 2 3 4 5 5 -> 0 1 2 7 8 5 3 4 5 , 0 1 2 3 4 5 3 -> 0 1 2 7 8 5 3 4 3 , 0 1 2 3 4 5 7 -> 0 1 2 7 8 5 3 4 7 , 0 1 2 3 4 5 9 -> 0 1 2 7 8 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 7 8 5 3 4 10 , 0 1 2 3 4 5 11 -> 0 1 2 7 8 5 3 4 11 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 7->6, 8->7, 9->8, 10->9, 11->10 }, it remains to prove termination of the 6-rule system { 0 1 2 3 4 5 5 -> 0 1 2 6 7 5 3 4 5 , 0 1 2 3 4 5 3 -> 0 1 2 6 7 5 3 4 3 , 0 1 2 3 4 5 6 -> 0 1 2 6 7 5 3 4 6 , 0 1 2 3 4 5 8 -> 0 1 2 6 7 5 3 4 8 , 0 1 2 3 4 5 9 -> 0 1 2 6 7 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 6 7 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 1 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10 }, it remains to prove termination of the 5-rule system { 0 1 2 3 4 5 3 -> 0 1 2 6 7 5 3 4 3 , 0 1 2 3 4 5 6 -> 0 1 2 6 7 5 3 4 6 , 0 1 2 3 4 5 8 -> 0 1 2 6 7 5 3 4 8 , 0 1 2 3 4 5 9 -> 0 1 2 6 7 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 6 7 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10 }, it remains to prove termination of the 4-rule system { 0 1 2 3 4 5 6 -> 0 1 2 6 7 5 3 4 6 , 0 1 2 3 4 5 8 -> 0 1 2 6 7 5 3 4 8 , 0 1 2 3 4 5 9 -> 0 1 2 6 7 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 6 7 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 8->6, 6->7, 7->8, 9->9, 10->10 }, it remains to prove termination of the 3-rule system { 0 1 2 3 4 5 6 -> 0 1 2 7 8 5 3 4 6 , 0 1 2 3 4 5 9 -> 0 1 2 7 8 5 3 4 9 , 0 1 2 3 4 5 10 -> 0 1 2 7 8 5 3 4 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 9->6, 7->7, 8->8, 10->9 }, it remains to prove termination of the 2-rule system { 0 1 2 3 4 5 6 -> 0 1 2 7 8 5 3 4 6 , 0 1 2 3 4 5 9 -> 0 1 2 7 8 5 3 4 9 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 9->6, 7->7, 8->8 }, it remains to prove termination of the 1-rule system { 0 1 2 3 4 5 6 -> 0 1 2 7 8 5 3 4 6 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 8: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 | \ / After renaming modulo { }, it remains to prove termination of the 0-rule system { } The system is trivially terminating.