/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES After renaming modulo the bijection { a ↦ 0, b ↦ 1, c ↦ 2 }, it remains to prove termination of the 3-rule system { 0 ⟶ 1 2 , 0 1 ⟶ 2 0 , 2 2 2 ⟶ 0 1 } Applying sparse tiling TRFC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (0,0) ↦ 0, (0,1) ↦ 1, (1,2) ↦ 2, (2,0) ↦ 3, (2,1) ↦ 4, (0,2) ↦ 5, (2,2) ↦ 6, (0,4) ↦ 7, (2,4) ↦ 8, (1,0) ↦ 9, (1,1) ↦ 10, (3,0) ↦ 11, (3,1) ↦ 12, (1,4) ↦ 13, (3,2) ↦ 14 }, it remains to prove termination of the 48-rule system { 0 0 ⟶ 1 2 3 , 0 1 ⟶ 1 2 4 , 0 5 ⟶ 1 2 6 , 0 7 ⟶ 1 2 8 , 9 0 ⟶ 10 2 3 , 9 1 ⟶ 10 2 4 , 9 5 ⟶ 10 2 6 , 9 7 ⟶ 10 2 8 , 3 0 ⟶ 4 2 3 , 3 1 ⟶ 4 2 4 , 3 5 ⟶ 4 2 6 , 3 7 ⟶ 4 2 8 , 11 0 ⟶ 12 2 3 , 11 1 ⟶ 12 2 4 , 11 5 ⟶ 12 2 6 , 11 7 ⟶ 12 2 8 , 0 1 9 ⟶ 5 3 0 , 0 1 10 ⟶ 5 3 1 , 0 1 2 ⟶ 5 3 5 , 0 1 13 ⟶ 5 3 7 , 9 1 9 ⟶ 2 3 0 , 9 1 10 ⟶ 2 3 1 , 9 1 2 ⟶ 2 3 5 , 9 1 13 ⟶ 2 3 7 , 3 1 9 ⟶ 6 3 0 , 3 1 10 ⟶ 6 3 1 , 3 1 2 ⟶ 6 3 5 , 3 1 13 ⟶ 6 3 7 , 11 1 9 ⟶ 14 3 0 , 11 1 10 ⟶ 14 3 1 , 11 1 2 ⟶ 14 3 5 , 11 1 13 ⟶ 14 3 7 , 5 6 6 3 ⟶ 0 1 9 , 5 6 6 4 ⟶ 0 1 10 , 5 6 6 6 ⟶ 0 1 2 , 5 6 6 8 ⟶ 0 1 13 , 2 6 6 3 ⟶ 9 1 9 , 2 6 6 4 ⟶ 9 1 10 , 2 6 6 6 ⟶ 9 1 2 , 2 6 6 8 ⟶ 9 1 13 , 6 6 6 3 ⟶ 3 1 9 , 6 6 6 4 ⟶ 3 1 10 , 6 6 6 6 ⟶ 3 1 2 , 6 6 6 8 ⟶ 3 1 13 , 14 6 6 3 ⟶ 11 1 9 , 14 6 6 4 ⟶ 11 1 10 , 14 6 6 6 ⟶ 11 1 2 , 14 6 6 8 ⟶ 11 1 13 } Applying sparse untiling TRFCU(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { 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 45-rule system { 0 0 ⟶ 1 2 3 , 0 1 ⟶ 1 2 4 , 0 5 ⟶ 1 2 6 , 0 7 ⟶ 1 2 8 , 9 0 ⟶ 10 2 3 , 9 1 ⟶ 10 2 4 , 9 5 ⟶ 10 2 6 , 9 7 ⟶ 10 2 8 , 3 0 ⟶ 4 2 3 , 3 1 ⟶ 4 2 4 , 3 5 ⟶ 4 2 6 , 3 7 ⟶ 4 2 8 , 11 1 ⟶ 12 2 4 , 0 1 9 ⟶ 5 3 0 , 0 1 10 ⟶ 5 3 1 , 0 1 2 ⟶ 5 3 5 , 0 1 13 ⟶ 5 3 7 , 9 1 9 ⟶ 2 3 0 , 9 1 10 ⟶ 2 3 1 , 9 1 2 ⟶ 2 3 5 , 9 1 13 ⟶ 2 3 7 , 3 1 9 ⟶ 6 3 0 , 3 1 10 ⟶ 6 3 1 , 3 1 2 ⟶ 6 3 5 , 3 1 13 ⟶ 6 3 7 , 11 1 9 ⟶ 14 3 0 , 11 1 10 ⟶ 14 3 1 , 11 1 2 ⟶ 14 3 5 , 11 1 13 ⟶ 14 3 7 , 5 6 6 3 ⟶ 0 1 9 , 5 6 6 4 ⟶ 0 1 10 , 5 6 6 6 ⟶ 0 1 2 , 5 6 6 8 ⟶ 0 1 13 , 2 6 6 3 ⟶ 9 1 9 , 2 6 6 4 ⟶ 9 1 10 , 2 6 6 6 ⟶ 9 1 2 , 2 6 6 8 ⟶ 9 1 13 , 6 6 6 3 ⟶ 3 1 9 , 6 6 6 4 ⟶ 3 1 10 , 6 6 6 6 ⟶ 3 1 2 , 6 6 6 8 ⟶ 3 1 13 , 14 6 6 3 ⟶ 11 1 9 , 14 6 6 4 ⟶ 11 1 10 , 14 6 6 6 ⟶ 11 1 2 , 14 6 6 8 ⟶ 11 1 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 5 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 6 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 7 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 8 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 9 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 10 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 11 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 12 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 13 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 14 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ After renaming modulo the bijection { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2, 3 ↦ 3, 4 ↦ 4, 5 ↦ 5, 6 ↦ 6, 7 ↦ 7, 8 ↦ 8, 9 ↦ 9, 10 ↦ 10, 13 ↦ 11, 11 ↦ 12, 14 ↦ 13 }, it remains to prove termination of the 44-rule system { 0 0 ⟶ 1 2 3 , 0 1 ⟶ 1 2 4 , 0 5 ⟶ 1 2 6 , 0 7 ⟶ 1 2 8 , 9 0 ⟶ 10 2 3 , 9 1 ⟶ 10 2 4 , 9 5 ⟶ 10 2 6 , 9 7 ⟶ 10 2 8 , 3 0 ⟶ 4 2 3 , 3 1 ⟶ 4 2 4 , 3 5 ⟶ 4 2 6 , 3 7 ⟶ 4 2 8 , 0 1 9 ⟶ 5 3 0 , 0 1 10 ⟶ 5 3 1 , 0 1 2 ⟶ 5 3 5 , 0 1 11 ⟶ 5 3 7 , 9 1 9 ⟶ 2 3 0 , 9 1 10 ⟶ 2 3 1 , 9 1 2 ⟶ 2 3 5 , 9 1 11 ⟶ 2 3 7 , 3 1 9 ⟶ 6 3 0 , 3 1 10 ⟶ 6 3 1 , 3 1 2 ⟶ 6 3 5 , 3 1 11 ⟶ 6 3 7 , 12 1 9 ⟶ 13 3 0 , 12 1 10 ⟶ 13 3 1 , 12 1 2 ⟶ 13 3 5 , 12 1 11 ⟶ 13 3 7 , 5 6 6 3 ⟶ 0 1 9 , 5 6 6 4 ⟶ 0 1 10 , 5 6 6 6 ⟶ 0 1 2 , 5 6 6 8 ⟶ 0 1 11 , 2 6 6 3 ⟶ 9 1 9 , 2 6 6 4 ⟶ 9 1 10 , 2 6 6 6 ⟶ 9 1 2 , 2 6 6 8 ⟶ 9 1 11 , 6 6 6 3 ⟶ 3 1 9 , 6 6 6 4 ⟶ 3 1 10 , 6 6 6 6 ⟶ 3 1 2 , 6 6 6 8 ⟶ 3 1 11 , 13 6 6 3 ⟶ 12 1 9 , 13 6 6 4 ⟶ 12 1 10 , 13 6 6 6 ⟶ 12 1 2 , 13 6 6 8 ⟶ 12 1 11 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 5: 0 ↦ ⎛ ⎞ ⎜ 1 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 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 5 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 6 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 1 0 ⎟ ⎜ 0 0 0 0 1 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 7 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 8 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎝ ⎠ 9 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 10 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 11 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 12 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 13 ↦ ⎛ ⎞ ⎜ 1 0 1 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ After renaming modulo the bijection { 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 43-rule system { 0 0 ⟶ 1 2 3 , 0 1 ⟶ 1 2 4 , 0 5 ⟶ 1 2 6 , 0 7 ⟶ 1 2 8 , 9 0 ⟶ 10 2 3 , 9 1 ⟶ 10 2 4 , 9 5 ⟶ 10 2 6 , 9 7 ⟶ 10 2 8 , 3 0 ⟶ 4 2 3 , 3 1 ⟶ 4 2 4 , 3 5 ⟶ 4 2 6 , 3 7 ⟶ 4 2 8 , 0 1 9 ⟶ 5 3 0 , 0 1 10 ⟶ 5 3 1 , 0 1 2 ⟶ 5 3 5 , 0 1 11 ⟶ 5 3 7 , 9 1 9 ⟶ 2 3 0 , 9 1 10 ⟶ 2 3 1 , 9 1 2 ⟶ 2 3 5 , 9 1 11 ⟶ 2 3 7 , 3 1 9 ⟶ 6 3 0 , 3 1 10 ⟶ 6 3 1 , 3 1 2 ⟶ 6 3 5 , 3 1 11 ⟶ 6 3 7 , 12 1 9 ⟶ 13 3 0 , 12 1 10 ⟶ 13 3 1 , 12 1 2 ⟶ 13 3 5 , 12 1 11 ⟶ 13 3 7 , 5 6 6 3 ⟶ 0 1 9 , 5 6 6 4 ⟶ 0 1 10 , 5 6 6 6 ⟶ 0 1 2 , 5 6 6 8 ⟶ 0 1 11 , 2 6 6 3 ⟶ 9 1 9 , 2 6 6 4 ⟶ 9 1 10 , 2 6 6 6 ⟶ 9 1 2 , 2 6 6 8 ⟶ 9 1 11 , 6 6 6 3 ⟶ 3 1 9 , 6 6 6 4 ⟶ 3 1 10 , 6 6 6 6 ⟶ 3 1 2 , 6 6 6 8 ⟶ 3 1 11 , 13 6 6 3 ⟶ 12 1 9 , 13 6 6 4 ⟶ 12 1 10 , 13 6 6 6 ⟶ 12 1 2 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 4: 0 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 1 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 5 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 6 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 7 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 8 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 9 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 10 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 11 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎝ ⎠ 12 ↦ ⎛ ⎞ ⎜ 1 0 1 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 13 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ After renaming modulo the bijection { 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 42-rule system { 0 0 ⟶ 1 2 3 , 0 1 ⟶ 1 2 4 , 0 5 ⟶ 1 2 6 , 0 7 ⟶ 1 2 8 , 9 0 ⟶ 10 2 3 , 9 1 ⟶ 10 2 4 , 9 5 ⟶ 10 2 6 , 9 7 ⟶ 10 2 8 , 3 0 ⟶ 4 2 3 , 3 1 ⟶ 4 2 4 , 3 5 ⟶ 4 2 6 , 3 7 ⟶ 4 2 8 , 0 1 9 ⟶ 5 3 0 , 0 1 10 ⟶ 5 3 1 , 0 1 2 ⟶ 5 3 5 , 0 1 11 ⟶ 5 3 7 , 9 1 9 ⟶ 2 3 0 , 9 1 10 ⟶ 2 3 1 , 9 1 2 ⟶ 2 3 5 , 9 1 11 ⟶ 2 3 7 , 3 1 9 ⟶ 6 3 0 , 3 1 10 ⟶ 6 3 1 , 3 1 2 ⟶ 6 3 5 , 3 1 11 ⟶ 6 3 7 , 12 1 9 ⟶ 13 3 0 , 12 1 10 ⟶ 13 3 1 , 12 1 2 ⟶ 13 3 5 , 5 6 6 3 ⟶ 0 1 9 , 5 6 6 4 ⟶ 0 1 10 , 5 6 6 6 ⟶ 0 1 2 , 5 6 6 8 ⟶ 0 1 11 , 2 6 6 3 ⟶ 9 1 9 , 2 6 6 4 ⟶ 9 1 10 , 2 6 6 6 ⟶ 9 1 2 , 2 6 6 8 ⟶ 9 1 11 , 6 6 6 3 ⟶ 3 1 9 , 6 6 6 4 ⟶ 3 1 10 , 6 6 6 6 ⟶ 3 1 2 , 6 6 6 8 ⟶ 3 1 11 , 13 6 6 3 ⟶ 12 1 9 , 13 6 6 4 ⟶ 12 1 10 , 13 6 6 6 ⟶ 12 1 2 } The system was reversed. After renaming modulo the bijection { 0 ↦ 0, 3 ↦ 1, 2 ↦ 2, 1 ↦ 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 42-rule system { 0 0 ⟶ 1 2 3 , 3 0 ⟶ 4 2 3 , 5 0 ⟶ 6 2 3 , 7 0 ⟶ 8 2 3 , 0 9 ⟶ 1 2 10 , 3 9 ⟶ 4 2 10 , 5 9 ⟶ 6 2 10 , 7 9 ⟶ 8 2 10 , 0 1 ⟶ 1 2 4 , 3 1 ⟶ 4 2 4 , 5 1 ⟶ 6 2 4 , 7 1 ⟶ 8 2 4 , 9 3 0 ⟶ 0 1 5 , 10 3 0 ⟶ 3 1 5 , 2 3 0 ⟶ 5 1 5 , 11 3 0 ⟶ 7 1 5 , 9 3 9 ⟶ 0 1 2 , 10 3 9 ⟶ 3 1 2 , 2 3 9 ⟶ 5 1 2 , 11 3 9 ⟶ 7 1 2 , 9 3 1 ⟶ 0 1 6 , 10 3 1 ⟶ 3 1 6 , 2 3 1 ⟶ 5 1 6 , 11 3 1 ⟶ 7 1 6 , 9 3 12 ⟶ 0 1 13 , 10 3 12 ⟶ 3 1 13 , 2 3 12 ⟶ 5 1 13 , 1 6 6 5 ⟶ 9 3 0 , 4 6 6 5 ⟶ 10 3 0 , 6 6 6 5 ⟶ 2 3 0 , 8 6 6 5 ⟶ 11 3 0 , 1 6 6 2 ⟶ 9 3 9 , 4 6 6 2 ⟶ 10 3 9 , 6 6 6 2 ⟶ 2 3 9 , 8 6 6 2 ⟶ 11 3 9 , 1 6 6 6 ⟶ 9 3 1 , 4 6 6 6 ⟶ 10 3 1 , 6 6 6 6 ⟶ 2 3 1 , 8 6 6 6 ⟶ 11 3 1 , 1 6 6 13 ⟶ 9 3 12 , 4 6 6 13 ⟶ 10 3 12 , 6 6 6 13 ⟶ 2 3 12 } Applying the dependency pairs transformation. Here, ↑ marks so-called defined symbols. After renaming modulo the bijection { (0,↑) ↦ 0, (0,↓) ↦ 1, (1,↑) ↦ 2, (2,↓) ↦ 3, (3,↓) ↦ 4, (2,↑) ↦ 5, (3,↑) ↦ 6, (4,↑) ↦ 7, (5,↑) ↦ 8, (6,↑) ↦ 9, (7,↑) ↦ 10, (8,↑) ↦ 11, (9,↓) ↦ 12, (10,↓) ↦ 13, (10,↑) ↦ 14, (1,↓) ↦ 15, (4,↓) ↦ 16, (9,↑) ↦ 17, (5,↓) ↦ 18, (11,↑) ↦ 19, (6,↓) ↦ 20, (12,↓) ↦ 21, (13,↓) ↦ 22, (7,↓) ↦ 23, (8,↓) ↦ 24, (11,↓) ↦ 25 }, it remains to prove termination of the 162-rule system { 0 1 ⟶ 2 3 4 , 0 1 ⟶ 5 4 , 0 1 ⟶ 6 , 6 1 ⟶ 7 3 4 , 6 1 ⟶ 5 4 , 6 1 ⟶ 6 , 8 1 ⟶ 9 3 4 , 8 1 ⟶ 5 4 , 8 1 ⟶ 6 , 10 1 ⟶ 11 3 4 , 10 1 ⟶ 5 4 , 10 1 ⟶ 6 , 0 12 ⟶ 2 3 13 , 0 12 ⟶ 5 13 , 0 12 ⟶ 14 , 6 12 ⟶ 7 3 13 , 6 12 ⟶ 5 13 , 6 12 ⟶ 14 , 8 12 ⟶ 9 3 13 , 8 12 ⟶ 5 13 , 8 12 ⟶ 14 , 10 12 ⟶ 11 3 13 , 10 12 ⟶ 5 13 , 10 12 ⟶ 14 , 0 15 ⟶ 2 3 16 , 0 15 ⟶ 5 16 , 0 15 ⟶ 7 , 6 15 ⟶ 7 3 16 , 6 15 ⟶ 5 16 , 6 15 ⟶ 7 , 8 15 ⟶ 9 3 16 , 8 15 ⟶ 5 16 , 8 15 ⟶ 7 , 10 15 ⟶ 11 3 16 , 10 15 ⟶ 5 16 , 10 15 ⟶ 7 , 17 4 1 ⟶ 0 15 18 , 17 4 1 ⟶ 2 18 , 17 4 1 ⟶ 8 , 14 4 1 ⟶ 6 15 18 , 14 4 1 ⟶ 2 18 , 14 4 1 ⟶ 8 , 5 4 1 ⟶ 8 15 18 , 5 4 1 ⟶ 2 18 , 5 4 1 ⟶ 8 , 19 4 1 ⟶ 10 15 18 , 19 4 1 ⟶ 2 18 , 19 4 1 ⟶ 8 , 17 4 12 ⟶ 0 15 3 , 17 4 12 ⟶ 2 3 , 17 4 12 ⟶ 5 , 14 4 12 ⟶ 6 15 3 , 14 4 12 ⟶ 2 3 , 14 4 12 ⟶ 5 , 5 4 12 ⟶ 8 15 3 , 5 4 12 ⟶ 2 3 , 5 4 12 ⟶ 5 , 19 4 12 ⟶ 10 15 3 , 19 4 12 ⟶ 2 3 , 19 4 12 ⟶ 5 , 17 4 15 ⟶ 0 15 20 , 17 4 15 ⟶ 2 20 , 17 4 15 ⟶ 9 , 14 4 15 ⟶ 6 15 20 , 14 4 15 ⟶ 2 20 , 14 4 15 ⟶ 9 , 5 4 15 ⟶ 8 15 20 , 5 4 15 ⟶ 2 20 , 5 4 15 ⟶ 9 , 19 4 15 ⟶ 10 15 20 , 19 4 15 ⟶ 2 20 , 19 4 15 ⟶ 9 , 17 4 21 ⟶ 0 15 22 , 17 4 21 ⟶ 2 22 , 14 4 21 ⟶ 6 15 22 , 14 4 21 ⟶ 2 22 , 5 4 21 ⟶ 8 15 22 , 5 4 21 ⟶ 2 22 , 2 20 20 18 ⟶ 17 4 1 , 2 20 20 18 ⟶ 6 1 , 2 20 20 18 ⟶ 0 , 7 20 20 18 ⟶ 14 4 1 , 7 20 20 18 ⟶ 6 1 , 7 20 20 18 ⟶ 0 , 9 20 20 18 ⟶ 5 4 1 , 9 20 20 18 ⟶ 6 1 , 9 20 20 18 ⟶ 0 , 11 20 20 18 ⟶ 19 4 1 , 11 20 20 18 ⟶ 6 1 , 11 20 20 18 ⟶ 0 , 2 20 20 3 ⟶ 17 4 12 , 2 20 20 3 ⟶ 6 12 , 2 20 20 3 ⟶ 17 , 7 20 20 3 ⟶ 14 4 12 , 7 20 20 3 ⟶ 6 12 , 7 20 20 3 ⟶ 17 , 9 20 20 3 ⟶ 5 4 12 , 9 20 20 3 ⟶ 6 12 , 9 20 20 3 ⟶ 17 , 11 20 20 3 ⟶ 19 4 12 , 11 20 20 3 ⟶ 6 12 , 11 20 20 3 ⟶ 17 , 2 20 20 20 ⟶ 17 4 15 , 2 20 20 20 ⟶ 6 15 , 2 20 20 20 ⟶ 2 , 7 20 20 20 ⟶ 14 4 15 , 7 20 20 20 ⟶ 6 15 , 7 20 20 20 ⟶ 2 , 9 20 20 20 ⟶ 5 4 15 , 9 20 20 20 ⟶ 6 15 , 9 20 20 20 ⟶ 2 , 11 20 20 20 ⟶ 19 4 15 , 11 20 20 20 ⟶ 6 15 , 11 20 20 20 ⟶ 2 , 2 20 20 22 ⟶ 17 4 21 , 2 20 20 22 ⟶ 6 21 , 7 20 20 22 ⟶ 14 4 21 , 7 20 20 22 ⟶ 6 21 , 9 20 20 22 ⟶ 5 4 21 , 9 20 20 22 ⟶ 6 21 , 1 1 →= 15 3 4 , 4 1 →= 16 3 4 , 18 1 →= 20 3 4 , 23 1 →= 24 3 4 , 1 12 →= 15 3 13 , 4 12 →= 16 3 13 , 18 12 →= 20 3 13 , 23 12 →= 24 3 13 , 1 15 →= 15 3 16 , 4 15 →= 16 3 16 , 18 15 →= 20 3 16 , 23 15 →= 24 3 16 , 12 4 1 →= 1 15 18 , 13 4 1 →= 4 15 18 , 3 4 1 →= 18 15 18 , 25 4 1 →= 23 15 18 , 12 4 12 →= 1 15 3 , 13 4 12 →= 4 15 3 , 3 4 12 →= 18 15 3 , 25 4 12 →= 23 15 3 , 12 4 15 →= 1 15 20 , 13 4 15 →= 4 15 20 , 3 4 15 →= 18 15 20 , 25 4 15 →= 23 15 20 , 12 4 21 →= 1 15 22 , 13 4 21 →= 4 15 22 , 3 4 21 →= 18 15 22 , 15 20 20 18 →= 12 4 1 , 16 20 20 18 →= 13 4 1 , 20 20 20 18 →= 3 4 1 , 24 20 20 18 →= 25 4 1 , 15 20 20 3 →= 12 4 12 , 16 20 20 3 →= 13 4 12 , 20 20 20 3 →= 3 4 12 , 24 20 20 3 →= 25 4 12 , 15 20 20 20 →= 12 4 15 , 16 20 20 20 →= 13 4 15 , 20 20 20 20 →= 3 4 15 , 24 20 20 20 →= 25 4 15 , 15 20 20 22 →= 12 4 21 , 16 20 20 22 →= 13 4 21 , 20 20 20 22 →= 3 4 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 2 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 5 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 6 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 7 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 8 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 9 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 10 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 11 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 12 ↦ ⎛ ⎞ ⎜ 1 2 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 13 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 14 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 15 ↦ ⎛ ⎞ ⎜ 1 2 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 16 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 17 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 18 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 19 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 20 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 21 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 22 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 23 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 24 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 25 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ After renaming modulo the bijection { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2, 3 ↦ 3, 4 ↦ 4, 6 ↦ 5, 7 ↦ 6, 8 ↦ 7, 9 ↦ 8, 10 ↦ 9, 11 ↦ 10, 12 ↦ 11, 13 ↦ 12, 15 ↦ 13, 16 ↦ 14, 17 ↦ 15, 18 ↦ 16, 14 ↦ 17, 5 ↦ 18, 19 ↦ 19, 20 ↦ 20, 21 ↦ 21, 22 ↦ 22, 23 ↦ 23, 24 ↦ 24, 25 ↦ 25 }, it remains to prove termination of the 84-rule system { 0 1 ⟶ 2 3 4 , 5 1 ⟶ 6 3 4 , 7 1 ⟶ 8 3 4 , 9 1 ⟶ 10 3 4 , 0 11 ⟶ 2 3 12 , 5 11 ⟶ 6 3 12 , 7 11 ⟶ 8 3 12 , 9 11 ⟶ 10 3 12 , 0 13 ⟶ 2 3 14 , 5 13 ⟶ 6 3 14 , 7 13 ⟶ 8 3 14 , 9 13 ⟶ 10 3 14 , 15 4 1 ⟶ 0 13 16 , 17 4 1 ⟶ 5 13 16 , 18 4 1 ⟶ 7 13 16 , 19 4 1 ⟶ 9 13 16 , 15 4 11 ⟶ 0 13 3 , 17 4 11 ⟶ 5 13 3 , 18 4 11 ⟶ 7 13 3 , 19 4 11 ⟶ 9 13 3 , 15 4 13 ⟶ 0 13 20 , 17 4 13 ⟶ 5 13 20 , 18 4 13 ⟶ 7 13 20 , 19 4 13 ⟶ 9 13 20 , 15 4 21 ⟶ 0 13 22 , 17 4 21 ⟶ 5 13 22 , 18 4 21 ⟶ 7 13 22 , 2 20 20 16 ⟶ 15 4 1 , 6 20 20 16 ⟶ 17 4 1 , 8 20 20 16 ⟶ 18 4 1 , 10 20 20 16 ⟶ 19 4 1 , 2 20 20 3 ⟶ 15 4 11 , 6 20 20 3 ⟶ 17 4 11 , 8 20 20 3 ⟶ 18 4 11 , 10 20 20 3 ⟶ 19 4 11 , 2 20 20 20 ⟶ 15 4 13 , 6 20 20 20 ⟶ 17 4 13 , 8 20 20 20 ⟶ 18 4 13 , 10 20 20 20 ⟶ 19 4 13 , 2 20 20 22 ⟶ 15 4 21 , 6 20 20 22 ⟶ 17 4 21 , 8 20 20 22 ⟶ 18 4 21 , 1 1 →= 13 3 4 , 4 1 →= 14 3 4 , 16 1 →= 20 3 4 , 23 1 →= 24 3 4 , 1 11 →= 13 3 12 , 4 11 →= 14 3 12 , 16 11 →= 20 3 12 , 23 11 →= 24 3 12 , 1 13 →= 13 3 14 , 4 13 →= 14 3 14 , 16 13 →= 20 3 14 , 23 13 →= 24 3 14 , 11 4 1 →= 1 13 16 , 12 4 1 →= 4 13 16 , 3 4 1 →= 16 13 16 , 25 4 1 →= 23 13 16 , 11 4 11 →= 1 13 3 , 12 4 11 →= 4 13 3 , 3 4 11 →= 16 13 3 , 25 4 11 →= 23 13 3 , 11 4 13 →= 1 13 20 , 12 4 13 →= 4 13 20 , 3 4 13 →= 16 13 20 , 25 4 13 →= 23 13 20 , 11 4 21 →= 1 13 22 , 12 4 21 →= 4 13 22 , 3 4 21 →= 16 13 22 , 13 20 20 16 →= 11 4 1 , 14 20 20 16 →= 12 4 1 , 20 20 20 16 →= 3 4 1 , 24 20 20 16 →= 25 4 1 , 13 20 20 3 →= 11 4 11 , 14 20 20 3 →= 12 4 11 , 20 20 20 3 →= 3 4 11 , 24 20 20 3 →= 25 4 11 , 13 20 20 20 →= 11 4 13 , 14 20 20 20 →= 12 4 13 , 20 20 20 20 →= 3 4 13 , 24 20 20 20 →= 25 4 13 , 13 20 20 22 →= 11 4 21 , 14 20 20 22 →= 12 4 21 , 20 20 20 22 →= 3 4 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 5: 0 ↦ ⎛ ⎞ ⎜ 1 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 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 1 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 5 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 6 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 7 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 8 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 9 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 10 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 11 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 12 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 13 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 14 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 15 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 16 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 17 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 18 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 19 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 20 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 1 0 ⎟ ⎜ 0 0 0 0 1 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 21 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 22 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎝ ⎠ 23 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 24 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 25 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ After renaming modulo the bijection { 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, 16 ↦ 16, 17 ↦ 17, 18 ↦ 18, 19 ↦ 19, 20 ↦ 20, 21 ↦ 21, 22 ↦ 22, 23 ↦ 23, 24 ↦ 24, 25 ↦ 25 }, it remains to prove termination of the 83-rule system { 0 1 ⟶ 2 3 4 , 5 1 ⟶ 6 3 4 , 7 1 ⟶ 8 3 4 , 9 1 ⟶ 10 3 4 , 0 11 ⟶ 2 3 12 , 5 11 ⟶ 6 3 12 , 7 11 ⟶ 8 3 12 , 9 11 ⟶ 10 3 12 , 0 13 ⟶ 2 3 14 , 5 13 ⟶ 6 3 14 , 7 13 ⟶ 8 3 14 , 9 13 ⟶ 10 3 14 , 15 4 1 ⟶ 0 13 16 , 17 4 1 ⟶ 5 13 16 , 18 4 1 ⟶ 7 13 16 , 19 4 1 ⟶ 9 13 16 , 15 4 11 ⟶ 0 13 3 , 17 4 11 ⟶ 5 13 3 , 18 4 11 ⟶ 7 13 3 , 19 4 11 ⟶ 9 13 3 , 15 4 13 ⟶ 0 13 20 , 17 4 13 ⟶ 5 13 20 , 18 4 13 ⟶ 7 13 20 , 19 4 13 ⟶ 9 13 20 , 15 4 21 ⟶ 0 13 22 , 17 4 21 ⟶ 5 13 22 , 18 4 21 ⟶ 7 13 22 , 2 20 20 16 ⟶ 15 4 1 , 6 20 20 16 ⟶ 17 4 1 , 8 20 20 16 ⟶ 18 4 1 , 10 20 20 16 ⟶ 19 4 1 , 2 20 20 3 ⟶ 15 4 11 , 6 20 20 3 ⟶ 17 4 11 , 8 20 20 3 ⟶ 18 4 11 , 10 20 20 3 ⟶ 19 4 11 , 2 20 20 20 ⟶ 15 4 13 , 6 20 20 20 ⟶ 17 4 13 , 8 20 20 20 ⟶ 18 4 13 , 10 20 20 20 ⟶ 19 4 13 , 6 20 20 22 ⟶ 17 4 21 , 8 20 20 22 ⟶ 18 4 21 , 1 1 →= 13 3 4 , 4 1 →= 14 3 4 , 16 1 →= 20 3 4 , 23 1 →= 24 3 4 , 1 11 →= 13 3 12 , 4 11 →= 14 3 12 , 16 11 →= 20 3 12 , 23 11 →= 24 3 12 , 1 13 →= 13 3 14 , 4 13 →= 14 3 14 , 16 13 →= 20 3 14 , 23 13 →= 24 3 14 , 11 4 1 →= 1 13 16 , 12 4 1 →= 4 13 16 , 3 4 1 →= 16 13 16 , 25 4 1 →= 23 13 16 , 11 4 11 →= 1 13 3 , 12 4 11 →= 4 13 3 , 3 4 11 →= 16 13 3 , 25 4 11 →= 23 13 3 , 11 4 13 →= 1 13 20 , 12 4 13 →= 4 13 20 , 3 4 13 →= 16 13 20 , 25 4 13 →= 23 13 20 , 11 4 21 →= 1 13 22 , 12 4 21 →= 4 13 22 , 3 4 21 →= 16 13 22 , 13 20 20 16 →= 11 4 1 , 14 20 20 16 →= 12 4 1 , 20 20 20 16 →= 3 4 1 , 24 20 20 16 →= 25 4 1 , 13 20 20 3 →= 11 4 11 , 14 20 20 3 →= 12 4 11 , 20 20 20 3 →= 3 4 11 , 24 20 20 3 →= 25 4 11 , 13 20 20 20 →= 11 4 13 , 14 20 20 20 →= 12 4 13 , 20 20 20 20 →= 3 4 13 , 24 20 20 20 →= 25 4 13 , 13 20 20 22 →= 11 4 21 , 14 20 20 22 →= 12 4 21 , 20 20 20 22 →= 3 4 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 4: 0 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 1 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 5 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 6 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 7 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 8 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 9 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 10 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 11 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 12 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 13 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 14 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 15 ↦ ⎛ ⎞ ⎜ 1 0 1 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 16 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 17 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 18 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 19 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 20 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 21 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎝ ⎠ 22 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 23 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 24 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 25 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ After renaming modulo the bijection { 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, 16 ↦ 16, 17 ↦ 17, 18 ↦ 18, 19 ↦ 19, 20 ↦ 20, 21 ↦ 21, 22 ↦ 22, 23 ↦ 23, 24 ↦ 24, 25 ↦ 25 }, it remains to prove termination of the 82-rule system { 0 1 ⟶ 2 3 4 , 5 1 ⟶ 6 3 4 , 7 1 ⟶ 8 3 4 , 9 1 ⟶ 10 3 4 , 0 11 ⟶ 2 3 12 , 5 11 ⟶ 6 3 12 , 7 11 ⟶ 8 3 12 , 9 11 ⟶ 10 3 12 , 0 13 ⟶ 2 3 14 , 5 13 ⟶ 6 3 14 , 7 13 ⟶ 8 3 14 , 9 13 ⟶ 10 3 14 , 15 4 1 ⟶ 0 13 16 , 17 4 1 ⟶ 5 13 16 , 18 4 1 ⟶ 7 13 16 , 19 4 1 ⟶ 9 13 16 , 15 4 11 ⟶ 0 13 3 , 17 4 11 ⟶ 5 13 3 , 18 4 11 ⟶ 7 13 3 , 19 4 11 ⟶ 9 13 3 , 15 4 13 ⟶ 0 13 20 , 17 4 13 ⟶ 5 13 20 , 18 4 13 ⟶ 7 13 20 , 19 4 13 ⟶ 9 13 20 , 17 4 21 ⟶ 5 13 22 , 18 4 21 ⟶ 7 13 22 , 2 20 20 16 ⟶ 15 4 1 , 6 20 20 16 ⟶ 17 4 1 , 8 20 20 16 ⟶ 18 4 1 , 10 20 20 16 ⟶ 19 4 1 , 2 20 20 3 ⟶ 15 4 11 , 6 20 20 3 ⟶ 17 4 11 , 8 20 20 3 ⟶ 18 4 11 , 10 20 20 3 ⟶ 19 4 11 , 2 20 20 20 ⟶ 15 4 13 , 6 20 20 20 ⟶ 17 4 13 , 8 20 20 20 ⟶ 18 4 13 , 10 20 20 20 ⟶ 19 4 13 , 6 20 20 22 ⟶ 17 4 21 , 8 20 20 22 ⟶ 18 4 21 , 1 1 →= 13 3 4 , 4 1 →= 14 3 4 , 16 1 →= 20 3 4 , 23 1 →= 24 3 4 , 1 11 →= 13 3 12 , 4 11 →= 14 3 12 , 16 11 →= 20 3 12 , 23 11 →= 24 3 12 , 1 13 →= 13 3 14 , 4 13 →= 14 3 14 , 16 13 →= 20 3 14 , 23 13 →= 24 3 14 , 11 4 1 →= 1 13 16 , 12 4 1 →= 4 13 16 , 3 4 1 →= 16 13 16 , 25 4 1 →= 23 13 16 , 11 4 11 →= 1 13 3 , 12 4 11 →= 4 13 3 , 3 4 11 →= 16 13 3 , 25 4 11 →= 23 13 3 , 11 4 13 →= 1 13 20 , 12 4 13 →= 4 13 20 , 3 4 13 →= 16 13 20 , 25 4 13 →= 23 13 20 , 11 4 21 →= 1 13 22 , 12 4 21 →= 4 13 22 , 3 4 21 →= 16 13 22 , 13 20 20 16 →= 11 4 1 , 14 20 20 16 →= 12 4 1 , 20 20 20 16 →= 3 4 1 , 24 20 20 16 →= 25 4 1 , 13 20 20 3 →= 11 4 11 , 14 20 20 3 →= 12 4 11 , 20 20 20 3 →= 3 4 11 , 24 20 20 3 →= 25 4 11 , 13 20 20 20 →= 11 4 13 , 14 20 20 20 →= 12 4 13 , 20 20 20 20 →= 3 4 13 , 24 20 20 20 →= 25 4 13 , 13 20 20 22 →= 11 4 21 , 14 20 20 22 →= 12 4 21 , 20 20 20 22 →= 3 4 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 5: 0 ↦ ⎛ ⎞ ⎜ 1 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 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 5 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 6 ↦ ⎛ ⎞ ⎜ 1 0 1 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 7 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 8 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 9 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 10 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 11 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 12 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 13 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 14 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 15 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 16 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 17 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 18 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 19 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 20 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 1 0 ⎟ ⎜ 0 0 0 0 1 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 21 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 22 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎝ ⎠ 23 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 24 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 25 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ After renaming modulo the bijection { 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, 16 ↦ 16, 17 ↦ 17, 18 ↦ 18, 19 ↦ 19, 20 ↦ 20, 21 ↦ 21, 22 ↦ 22, 23 ↦ 23, 24 ↦ 24, 25 ↦ 25 }, it remains to prove termination of the 81-rule system { 0 1 ⟶ 2 3 4 , 5 1 ⟶ 6 3 4 , 7 1 ⟶ 8 3 4 , 9 1 ⟶ 10 3 4 , 0 11 ⟶ 2 3 12 , 5 11 ⟶ 6 3 12 , 7 11 ⟶ 8 3 12 , 9 11 ⟶ 10 3 12 , 0 13 ⟶ 2 3 14 , 5 13 ⟶ 6 3 14 , 7 13 ⟶ 8 3 14 , 9 13 ⟶ 10 3 14 , 15 4 1 ⟶ 0 13 16 , 17 4 1 ⟶ 5 13 16 , 18 4 1 ⟶ 7 13 16 , 19 4 1 ⟶ 9 13 16 , 15 4 11 ⟶ 0 13 3 , 17 4 11 ⟶ 5 13 3 , 18 4 11 ⟶ 7 13 3 , 19 4 11 ⟶ 9 13 3 , 15 4 13 ⟶ 0 13 20 , 17 4 13 ⟶ 5 13 20 , 18 4 13 ⟶ 7 13 20 , 19 4 13 ⟶ 9 13 20 , 17 4 21 ⟶ 5 13 22 , 18 4 21 ⟶ 7 13 22 , 2 20 20 16 ⟶ 15 4 1 , 6 20 20 16 ⟶ 17 4 1 , 8 20 20 16 ⟶ 18 4 1 , 10 20 20 16 ⟶ 19 4 1 , 2 20 20 3 ⟶ 15 4 11 , 6 20 20 3 ⟶ 17 4 11 , 8 20 20 3 ⟶ 18 4 11 , 10 20 20 3 ⟶ 19 4 11 , 2 20 20 20 ⟶ 15 4 13 , 6 20 20 20 ⟶ 17 4 13 , 8 20 20 20 ⟶ 18 4 13 , 10 20 20 20 ⟶ 19 4 13 , 8 20 20 22 ⟶ 18 4 21 , 1 1 →= 13 3 4 , 4 1 →= 14 3 4 , 16 1 →= 20 3 4 , 23 1 →= 24 3 4 , 1 11 →= 13 3 12 , 4 11 →= 14 3 12 , 16 11 →= 20 3 12 , 23 11 →= 24 3 12 , 1 13 →= 13 3 14 , 4 13 →= 14 3 14 , 16 13 →= 20 3 14 , 23 13 →= 24 3 14 , 11 4 1 →= 1 13 16 , 12 4 1 →= 4 13 16 , 3 4 1 →= 16 13 16 , 25 4 1 →= 23 13 16 , 11 4 11 →= 1 13 3 , 12 4 11 →= 4 13 3 , 3 4 11 →= 16 13 3 , 25 4 11 →= 23 13 3 , 11 4 13 →= 1 13 20 , 12 4 13 →= 4 13 20 , 3 4 13 →= 16 13 20 , 25 4 13 →= 23 13 20 , 11 4 21 →= 1 13 22 , 12 4 21 →= 4 13 22 , 3 4 21 →= 16 13 22 , 13 20 20 16 →= 11 4 1 , 14 20 20 16 →= 12 4 1 , 20 20 20 16 →= 3 4 1 , 24 20 20 16 →= 25 4 1 , 13 20 20 3 →= 11 4 11 , 14 20 20 3 →= 12 4 11 , 20 20 20 3 →= 3 4 11 , 24 20 20 3 →= 25 4 11 , 13 20 20 20 →= 11 4 13 , 14 20 20 20 →= 12 4 13 , 20 20 20 20 →= 3 4 13 , 24 20 20 20 →= 25 4 13 , 13 20 20 22 →= 11 4 21 , 14 20 20 22 →= 12 4 21 , 20 20 20 22 →= 3 4 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 4: 0 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 1 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 5 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 6 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 7 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 8 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 9 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 10 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 11 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 12 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 13 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 14 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 15 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 16 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 17 ↦ ⎛ ⎞ ⎜ 1 0 1 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 18 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 19 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 20 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 21 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎝ ⎠ 22 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 23 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 24 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 25 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ After renaming modulo the bijection { 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, 16 ↦ 16, 17 ↦ 17, 18 ↦ 18, 19 ↦ 19, 20 ↦ 20, 21 ↦ 21, 22 ↦ 22, 23 ↦ 23, 24 ↦ 24, 25 ↦ 25 }, it remains to prove termination of the 80-rule system { 0 1 ⟶ 2 3 4 , 5 1 ⟶ 6 3 4 , 7 1 ⟶ 8 3 4 , 9 1 ⟶ 10 3 4 , 0 11 ⟶ 2 3 12 , 5 11 ⟶ 6 3 12 , 7 11 ⟶ 8 3 12 , 9 11 ⟶ 10 3 12 , 0 13 ⟶ 2 3 14 , 5 13 ⟶ 6 3 14 , 7 13 ⟶ 8 3 14 , 9 13 ⟶ 10 3 14 , 15 4 1 ⟶ 0 13 16 , 17 4 1 ⟶ 5 13 16 , 18 4 1 ⟶ 7 13 16 , 19 4 1 ⟶ 9 13 16 , 15 4 11 ⟶ 0 13 3 , 17 4 11 ⟶ 5 13 3 , 18 4 11 ⟶ 7 13 3 , 19 4 11 ⟶ 9 13 3 , 15 4 13 ⟶ 0 13 20 , 17 4 13 ⟶ 5 13 20 , 18 4 13 ⟶ 7 13 20 , 19 4 13 ⟶ 9 13 20 , 18 4 21 ⟶ 7 13 22 , 2 20 20 16 ⟶ 15 4 1 , 6 20 20 16 ⟶ 17 4 1 , 8 20 20 16 ⟶ 18 4 1 , 10 20 20 16 ⟶ 19 4 1 , 2 20 20 3 ⟶ 15 4 11 , 6 20 20 3 ⟶ 17 4 11 , 8 20 20 3 ⟶ 18 4 11 , 10 20 20 3 ⟶ 19 4 11 , 2 20 20 20 ⟶ 15 4 13 , 6 20 20 20 ⟶ 17 4 13 , 8 20 20 20 ⟶ 18 4 13 , 10 20 20 20 ⟶ 19 4 13 , 8 20 20 22 ⟶ 18 4 21 , 1 1 →= 13 3 4 , 4 1 →= 14 3 4 , 16 1 →= 20 3 4 , 23 1 →= 24 3 4 , 1 11 →= 13 3 12 , 4 11 →= 14 3 12 , 16 11 →= 20 3 12 , 23 11 →= 24 3 12 , 1 13 →= 13 3 14 , 4 13 →= 14 3 14 , 16 13 →= 20 3 14 , 23 13 →= 24 3 14 , 11 4 1 →= 1 13 16 , 12 4 1 →= 4 13 16 , 3 4 1 →= 16 13 16 , 25 4 1 →= 23 13 16 , 11 4 11 →= 1 13 3 , 12 4 11 →= 4 13 3 , 3 4 11 →= 16 13 3 , 25 4 11 →= 23 13 3 , 11 4 13 →= 1 13 20 , 12 4 13 →= 4 13 20 , 3 4 13 →= 16 13 20 , 25 4 13 →= 23 13 20 , 11 4 21 →= 1 13 22 , 12 4 21 →= 4 13 22 , 3 4 21 →= 16 13 22 , 13 20 20 16 →= 11 4 1 , 14 20 20 16 →= 12 4 1 , 20 20 20 16 →= 3 4 1 , 24 20 20 16 →= 25 4 1 , 13 20 20 3 →= 11 4 11 , 14 20 20 3 →= 12 4 11 , 20 20 20 3 →= 3 4 11 , 24 20 20 3 →= 25 4 11 , 13 20 20 20 →= 11 4 13 , 14 20 20 20 →= 12 4 13 , 20 20 20 20 →= 3 4 13 , 24 20 20 20 →= 25 4 13 , 13 20 20 22 →= 11 4 21 , 14 20 20 22 →= 12 4 21 , 20 20 20 22 →= 3 4 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 5: 0 ↦ ⎛ ⎞ ⎜ 1 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 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 5 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 6 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 7 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 8 ↦ ⎛ ⎞ ⎜ 1 0 1 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 9 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 10 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 11 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 12 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 13 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 14 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 15 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 16 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 17 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 18 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 19 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 20 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 1 0 ⎟ ⎜ 0 0 0 0 1 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 21 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 22 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎝ ⎠ 23 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 24 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ 25 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ After renaming modulo the bijection { 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, 16 ↦ 16, 17 ↦ 17, 18 ↦ 18, 19 ↦ 19, 20 ↦ 20, 21 ↦ 21, 22 ↦ 22, 23 ↦ 23, 24 ↦ 24, 25 ↦ 25 }, it remains to prove termination of the 79-rule system { 0 1 ⟶ 2 3 4 , 5 1 ⟶ 6 3 4 , 7 1 ⟶ 8 3 4 , 9 1 ⟶ 10 3 4 , 0 11 ⟶ 2 3 12 , 5 11 ⟶ 6 3 12 , 7 11 ⟶ 8 3 12 , 9 11 ⟶ 10 3 12 , 0 13 ⟶ 2 3 14 , 5 13 ⟶ 6 3 14 , 7 13 ⟶ 8 3 14 , 9 13 ⟶ 10 3 14 , 15 4 1 ⟶ 0 13 16 , 17 4 1 ⟶ 5 13 16 , 18 4 1 ⟶ 7 13 16 , 19 4 1 ⟶ 9 13 16 , 15 4 11 ⟶ 0 13 3 , 17 4 11 ⟶ 5 13 3 , 18 4 11 ⟶ 7 13 3 , 19 4 11 ⟶ 9 13 3 , 15 4 13 ⟶ 0 13 20 , 17 4 13 ⟶ 5 13 20 , 18 4 13 ⟶ 7 13 20 , 19 4 13 ⟶ 9 13 20 , 18 4 21 ⟶ 7 13 22 , 2 20 20 16 ⟶ 15 4 1 , 6 20 20 16 ⟶ 17 4 1 , 8 20 20 16 ⟶ 18 4 1 , 10 20 20 16 ⟶ 19 4 1 , 2 20 20 3 ⟶ 15 4 11 , 6 20 20 3 ⟶ 17 4 11 , 8 20 20 3 ⟶ 18 4 11 , 10 20 20 3 ⟶ 19 4 11 , 2 20 20 20 ⟶ 15 4 13 , 6 20 20 20 ⟶ 17 4 13 , 8 20 20 20 ⟶ 18 4 13 , 10 20 20 20 ⟶ 19 4 13 , 1 1 →= 13 3 4 , 4 1 →= 14 3 4 , 16 1 →= 20 3 4 , 23 1 →= 24 3 4 , 1 11 →= 13 3 12 , 4 11 →= 14 3 12 , 16 11 →= 20 3 12 , 23 11 →= 24 3 12 , 1 13 →= 13 3 14 , 4 13 →= 14 3 14 , 16 13 →= 20 3 14 , 23 13 →= 24 3 14 , 11 4 1 →= 1 13 16 , 12 4 1 →= 4 13 16 , 3 4 1 →= 16 13 16 , 25 4 1 →= 23 13 16 , 11 4 11 →= 1 13 3 , 12 4 11 →= 4 13 3 , 3 4 11 →= 16 13 3 , 25 4 11 →= 23 13 3 , 11 4 13 →= 1 13 20 , 12 4 13 →= 4 13 20 , 3 4 13 →= 16 13 20 , 25 4 13 →= 23 13 20 , 11 4 21 →= 1 13 22 , 12 4 21 →= 4 13 22 , 3 4 21 →= 16 13 22 , 13 20 20 16 →= 11 4 1 , 14 20 20 16 →= 12 4 1 , 20 20 20 16 →= 3 4 1 , 24 20 20 16 →= 25 4 1 , 13 20 20 3 →= 11 4 11 , 14 20 20 3 →= 12 4 11 , 20 20 20 3 →= 3 4 11 , 24 20 20 3 →= 25 4 11 , 13 20 20 20 →= 11 4 13 , 14 20 20 20 →= 12 4 13 , 20 20 20 20 →= 3 4 13 , 24 20 20 20 →= 25 4 13 , 13 20 20 22 →= 11 4 21 , 14 20 20 22 →= 12 4 21 , 20 20 20 22 →= 3 4 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 4: 0 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 1 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 5 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 6 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 7 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 8 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 9 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 10 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 11 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 12 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 13 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 14 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 15 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 16 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 17 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 18 ↦ ⎛ ⎞ ⎜ 1 0 1 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 19 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 20 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 21 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎝ ⎠ 22 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 23 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 24 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ 25 ↦ ⎛ ⎞ ⎜ 1 0 0 0 ⎟ ⎜ 0 1 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎜ 0 0 0 0 ⎟ ⎝ ⎠ After renaming modulo the bijection { 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, 16 ↦ 16, 17 ↦ 17, 18 ↦ 18, 19 ↦ 19, 20 ↦ 20, 23 ↦ 21, 24 ↦ 22, 25 ↦ 23, 21 ↦ 24, 22 ↦ 25 }, it remains to prove termination of the 78-rule system { 0 1 ⟶ 2 3 4 , 5 1 ⟶ 6 3 4 , 7 1 ⟶ 8 3 4 , 9 1 ⟶ 10 3 4 , 0 11 ⟶ 2 3 12 , 5 11 ⟶ 6 3 12 , 7 11 ⟶ 8 3 12 , 9 11 ⟶ 10 3 12 , 0 13 ⟶ 2 3 14 , 5 13 ⟶ 6 3 14 , 7 13 ⟶ 8 3 14 , 9 13 ⟶ 10 3 14 , 15 4 1 ⟶ 0 13 16 , 17 4 1 ⟶ 5 13 16 , 18 4 1 ⟶ 7 13 16 , 19 4 1 ⟶ 9 13 16 , 15 4 11 ⟶ 0 13 3 , 17 4 11 ⟶ 5 13 3 , 18 4 11 ⟶ 7 13 3 , 19 4 11 ⟶ 9 13 3 , 15 4 13 ⟶ 0 13 20 , 17 4 13 ⟶ 5 13 20 , 18 4 13 ⟶ 7 13 20 , 19 4 13 ⟶ 9 13 20 , 2 20 20 16 ⟶ 15 4 1 , 6 20 20 16 ⟶ 17 4 1 , 8 20 20 16 ⟶ 18 4 1 , 10 20 20 16 ⟶ 19 4 1 , 2 20 20 3 ⟶ 15 4 11 , 6 20 20 3 ⟶ 17 4 11 , 8 20 20 3 ⟶ 18 4 11 , 10 20 20 3 ⟶ 19 4 11 , 2 20 20 20 ⟶ 15 4 13 , 6 20 20 20 ⟶ 17 4 13 , 8 20 20 20 ⟶ 18 4 13 , 10 20 20 20 ⟶ 19 4 13 , 1 1 →= 13 3 4 , 4 1 →= 14 3 4 , 16 1 →= 20 3 4 , 21 1 →= 22 3 4 , 1 11 →= 13 3 12 , 4 11 →= 14 3 12 , 16 11 →= 20 3 12 , 21 11 →= 22 3 12 , 1 13 →= 13 3 14 , 4 13 →= 14 3 14 , 16 13 →= 20 3 14 , 21 13 →= 22 3 14 , 11 4 1 →= 1 13 16 , 12 4 1 →= 4 13 16 , 3 4 1 →= 16 13 16 , 23 4 1 →= 21 13 16 , 11 4 11 →= 1 13 3 , 12 4 11 →= 4 13 3 , 3 4 11 →= 16 13 3 , 23 4 11 →= 21 13 3 , 11 4 13 →= 1 13 20 , 12 4 13 →= 4 13 20 , 3 4 13 →= 16 13 20 , 23 4 13 →= 21 13 20 , 11 4 24 →= 1 13 25 , 12 4 24 →= 4 13 25 , 3 4 24 →= 16 13 25 , 13 20 20 16 →= 11 4 1 , 14 20 20 16 →= 12 4 1 , 20 20 20 16 →= 3 4 1 , 22 20 20 16 →= 23 4 1 , 13 20 20 3 →= 11 4 11 , 14 20 20 3 →= 12 4 11 , 20 20 20 3 →= 3 4 11 , 22 20 20 3 →= 23 4 11 , 13 20 20 20 →= 11 4 13 , 14 20 20 20 →= 12 4 13 , 20 20 20 20 →= 3 4 13 , 22 20 20 20 →= 23 4 13 , 13 20 20 25 →= 11 4 24 , 14 20 20 25 →= 12 4 24 , 20 20 20 25 →= 3 4 24 } Applying sparse tiling TROC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (26,0) ↦ 0, (0,1) ↦ 1, (1,1) ↦ 2, (26,2) ↦ 3, (2,3) ↦ 4, (3,4) ↦ 5, (4,1) ↦ 6, (1,11) ↦ 7, (4,11) ↦ 8, (1,27) ↦ 9, (4,27) ↦ 10, (1,13) ↦ 11, (4,13) ↦ 12, (26,5) ↦ 13, (5,1) ↦ 14, (26,6) ↦ 15, (6,3) ↦ 16, (26,7) ↦ 17, (7,1) ↦ 18, (26,8) ↦ 19, (8,3) ↦ 20, (26,9) ↦ 21, (9,1) ↦ 22, (26,10) ↦ 23, (10,3) ↦ 24, (0,11) ↦ 25, (11,4) ↦ 26, (3,12) ↦ 27, (12,4) ↦ 28, (11,27) ↦ 29, (12,27) ↦ 30, (11,12) ↦ 31, (12,12) ↦ 32, (11,14) ↦ 33, (12,14) ↦ 34, (5,11) ↦ 35, (7,11) ↦ 36, (9,11) ↦ 37, (0,13) ↦ 38, (13,16) ↦ 39, (3,14) ↦ 40, (14,16) ↦ 41, (13,3) ↦ 42, (14,3) ↦ 43, (13,20) ↦ 44, (14,20) ↦ 45, (13,25) ↦ 46, (14,25) ↦ 47, (13,27) ↦ 48, (14,27) ↦ 49, (5,13) ↦ 50, (7,13) ↦ 51, (9,13) ↦ 52, (26,15) ↦ 53, (15,4) ↦ 54, (16,1) ↦ 55, (16,11) ↦ 56, (16,27) ↦ 57, (16,13) ↦ 58, (26,17) ↦ 59, (17,4) ↦ 60, (26,18) ↦ 61, (18,4) ↦ 62, (26,19) ↦ 63, (19,4) ↦ 64, (3,27) ↦ 65, (20,16) ↦ 66, (20,3) ↦ 67, (20,20) ↦ 68, (20,25) ↦ 69, (20,27) ↦ 70, (2,20) ↦ 71, (6,20) ↦ 72, (8,20) ↦ 73, (10,20) ↦ 74, (21,1) ↦ 75, (21,13) ↦ 76, (26,1) ↦ 77, (26,13) ↦ 78, (17,14) ↦ 79, (18,14) ↦ 80, (19,14) ↦ 81, (23,4) ↦ 82, (23,14) ↦ 83, (26,4) ↦ 84, (26,14) ↦ 85, (15,14) ↦ 86, (2,16) ↦ 87, (6,16) ↦ 88, (22,16) ↦ 89, (22,20) ↦ 90, (8,16) ↦ 91, (10,16) ↦ 92, (26,16) ↦ 93, (26,20) ↦ 94, (26,21) ↦ 95, (26,22) ↦ 96, (22,3) ↦ 97, (21,11) ↦ 98, (26,11) ↦ 99, (17,12) ↦ 100, (18,12) ↦ 101, (19,12) ↦ 102, (23,12) ↦ 103, (26,12) ↦ 104, (15,12) ↦ 105, (26,3) ↦ 106, (26,23) ↦ 107, (4,24) ↦ 108, (24,27) ↦ 109, (25,27) ↦ 110 }, it remains to prove termination of the 1302-rule system { 0 1 2 ⟶ 3 4 5 6 , 0 1 7 ⟶ 3 4 5 8 , 0 1 9 ⟶ 3 4 5 10 , 0 1 11 ⟶ 3 4 5 12 , 13 14 2 ⟶ 15 16 5 6 , 13 14 7 ⟶ 15 16 5 8 , 13 14 9 ⟶ 15 16 5 10 , 13 14 11 ⟶ 15 16 5 12 , 17 18 2 ⟶ 19 20 5 6 , 17 18 7 ⟶ 19 20 5 8 , 17 18 9 ⟶ 19 20 5 10 , 17 18 11 ⟶ 19 20 5 12 , 21 22 2 ⟶ 23 24 5 6 , 21 22 7 ⟶ 23 24 5 8 , 21 22 9 ⟶ 23 24 5 10 , 21 22 11 ⟶ 23 24 5 12 , 0 25 26 ⟶ 3 4 27 28 , 0 25 29 ⟶ 3 4 27 30 , 0 25 31 ⟶ 3 4 27 32 , 0 25 33 ⟶ 3 4 27 34 , 13 35 26 ⟶ 15 16 27 28 , 13 35 29 ⟶ 15 16 27 30 , 13 35 31 ⟶ 15 16 27 32 , 13 35 33 ⟶ 15 16 27 34 , 17 36 26 ⟶ 19 20 27 28 , 17 36 29 ⟶ 19 20 27 30 , 17 36 31 ⟶ 19 20 27 32 , 17 36 33 ⟶ 19 20 27 34 , 21 37 26 ⟶ 23 24 27 28 , 21 37 29 ⟶ 23 24 27 30 , 21 37 31 ⟶ 23 24 27 32 , 21 37 33 ⟶ 23 24 27 34 , 0 38 39 ⟶ 3 4 40 41 , 0 38 42 ⟶ 3 4 40 43 , 0 38 44 ⟶ 3 4 40 45 , 0 38 46 ⟶ 3 4 40 47 , 0 38 48 ⟶ 3 4 40 49 , 13 50 39 ⟶ 15 16 40 41 , 13 50 42 ⟶ 15 16 40 43 , 13 50 44 ⟶ 15 16 40 45 , 13 50 46 ⟶ 15 16 40 47 , 13 50 48 ⟶ 15 16 40 49 , 17 51 39 ⟶ 19 20 40 41 , 17 51 42 ⟶ 19 20 40 43 , 17 51 44 ⟶ 19 20 40 45 , 17 51 46 ⟶ 19 20 40 47 , 17 51 48 ⟶ 19 20 40 49 , 21 52 39 ⟶ 23 24 40 41 , 21 52 42 ⟶ 23 24 40 43 , 21 52 44 ⟶ 23 24 40 45 , 21 52 46 ⟶ 23 24 40 47 , 21 52 48 ⟶ 23 24 40 49 , 53 54 6 2 ⟶ 0 38 39 55 , 53 54 6 7 ⟶ 0 38 39 56 , 53 54 6 9 ⟶ 0 38 39 57 , 53 54 6 11 ⟶ 0 38 39 58 , 59 60 6 2 ⟶ 13 50 39 55 , 59 60 6 7 ⟶ 13 50 39 56 , 59 60 6 9 ⟶ 13 50 39 57 , 59 60 6 11 ⟶ 13 50 39 58 , 61 62 6 2 ⟶ 17 51 39 55 , 61 62 6 7 ⟶ 17 51 39 56 , 61 62 6 9 ⟶ 17 51 39 57 , 61 62 6 11 ⟶ 17 51 39 58 , 63 64 6 2 ⟶ 21 52 39 55 , 63 64 6 7 ⟶ 21 52 39 56 , 63 64 6 9 ⟶ 21 52 39 57 , 63 64 6 11 ⟶ 21 52 39 58 , 53 54 8 26 ⟶ 0 38 42 5 , 53 54 8 29 ⟶ 0 38 42 65 , 53 54 8 31 ⟶ 0 38 42 27 , 53 54 8 33 ⟶ 0 38 42 40 , 59 60 8 26 ⟶ 13 50 42 5 , 59 60 8 29 ⟶ 13 50 42 65 , 59 60 8 31 ⟶ 13 50 42 27 , 59 60 8 33 ⟶ 13 50 42 40 , 61 62 8 26 ⟶ 17 51 42 5 , 61 62 8 29 ⟶ 17 51 42 65 , 61 62 8 31 ⟶ 17 51 42 27 , 61 62 8 33 ⟶ 17 51 42 40 , 63 64 8 26 ⟶ 21 52 42 5 , 63 64 8 29 ⟶ 21 52 42 65 , 63 64 8 31 ⟶ 21 52 42 27 , 63 64 8 33 ⟶ 21 52 42 40 , 53 54 12 39 ⟶ 0 38 44 66 , 53 54 12 42 ⟶ 0 38 44 67 , 53 54 12 44 ⟶ 0 38 44 68 , 53 54 12 46 ⟶ 0 38 44 69 , 53 54 12 48 ⟶ 0 38 44 70 , 59 60 12 39 ⟶ 13 50 44 66 , 59 60 12 42 ⟶ 13 50 44 67 , 59 60 12 44 ⟶ 13 50 44 68 , 59 60 12 46 ⟶ 13 50 44 69 , 59 60 12 48 ⟶ 13 50 44 70 , 61 62 12 39 ⟶ 17 51 44 66 , 61 62 12 42 ⟶ 17 51 44 67 , 61 62 12 44 ⟶ 17 51 44 68 , 61 62 12 46 ⟶ 17 51 44 69 , 61 62 12 48 ⟶ 17 51 44 70 , 63 64 12 39 ⟶ 21 52 44 66 , 63 64 12 42 ⟶ 21 52 44 67 , 63 64 12 44 ⟶ 21 52 44 68 , 63 64 12 46 ⟶ 21 52 44 69 , 63 64 12 48 ⟶ 21 52 44 70 , 3 71 68 66 55 ⟶ 53 54 6 2 , 3 71 68 66 56 ⟶ 53 54 6 7 , 3 71 68 66 57 ⟶ 53 54 6 9 , 3 71 68 66 58 ⟶ 53 54 6 11 , 15 72 68 66 55 ⟶ 59 60 6 2 , 15 72 68 66 56 ⟶ 59 60 6 7 , 15 72 68 66 57 ⟶ 59 60 6 9 , 15 72 68 66 58 ⟶ 59 60 6 11 , 19 73 68 66 55 ⟶ 61 62 6 2 , 19 73 68 66 56 ⟶ 61 62 6 7 , 19 73 68 66 57 ⟶ 61 62 6 9 , 19 73 68 66 58 ⟶ 61 62 6 11 , 23 74 68 66 55 ⟶ 63 64 6 2 , 23 74 68 66 56 ⟶ 63 64 6 7 , 23 74 68 66 57 ⟶ 63 64 6 9 , 23 74 68 66 58 ⟶ 63 64 6 11 , 3 71 68 67 5 ⟶ 53 54 8 26 , 3 71 68 67 65 ⟶ 53 54 8 29 , 3 71 68 67 27 ⟶ 53 54 8 31 , 3 71 68 67 40 ⟶ 53 54 8 33 , 15 72 68 67 5 ⟶ 59 60 8 26 , 15 72 68 67 65 ⟶ 59 60 8 29 , 15 72 68 67 27 ⟶ 59 60 8 31 , 15 72 68 67 40 ⟶ 59 60 8 33 , 19 73 68 67 5 ⟶ 61 62 8 26 , 19 73 68 67 65 ⟶ 61 62 8 29 , 19 73 68 67 27 ⟶ 61 62 8 31 , 19 73 68 67 40 ⟶ 61 62 8 33 , 23 74 68 67 5 ⟶ 63 64 8 26 , 23 74 68 67 65 ⟶ 63 64 8 29 , 23 74 68 67 27 ⟶ 63 64 8 31 , 23 74 68 67 40 ⟶ 63 64 8 33 , 3 71 68 68 66 ⟶ 53 54 12 39 , 3 71 68 68 67 ⟶ 53 54 12 42 , 3 71 68 68 68 ⟶ 53 54 12 44 , 3 71 68 68 69 ⟶ 53 54 12 46 , 3 71 68 68 70 ⟶ 53 54 12 48 , 15 72 68 68 66 ⟶ 59 60 12 39 , 15 72 68 68 67 ⟶ 59 60 12 42 , 15 72 68 68 68 ⟶ 59 60 12 44 , 15 72 68 68 69 ⟶ 59 60 12 46 , 15 72 68 68 70 ⟶ 59 60 12 48 , 19 73 68 68 66 ⟶ 61 62 12 39 , 19 73 68 68 67 ⟶ 61 62 12 42 , 19 73 68 68 68 ⟶ 61 62 12 44 , 19 73 68 68 69 ⟶ 61 62 12 46 , 19 73 68 68 70 ⟶ 61 62 12 48 , 23 74 68 68 66 ⟶ 63 64 12 39 , 23 74 68 68 67 ⟶ 63 64 12 42 , 23 74 68 68 68 ⟶ 63 64 12 44 , 23 74 68 68 69 ⟶ 63 64 12 46 , 23 74 68 68 70 ⟶ 63 64 12 48 , 1 2 2 →= 38 42 5 6 , 1 2 7 →= 38 42 5 8 , 1 2 9 →= 38 42 5 10 , 1 2 11 →= 38 42 5 12 , 55 2 2 →= 58 42 5 6 , 55 2 7 →= 58 42 5 8 , 55 2 9 →= 58 42 5 10 , 55 2 11 →= 58 42 5 12 , 2 2 2 →= 11 42 5 6 , 2 2 7 →= 11 42 5 8 , 2 2 9 →= 11 42 5 10 , 2 2 11 →= 11 42 5 12 , 6 2 2 →= 12 42 5 6 , 6 2 7 →= 12 42 5 8 , 6 2 9 →= 12 42 5 10 , 6 2 11 →= 12 42 5 12 , 14 2 2 →= 50 42 5 6 , 14 2 7 →= 50 42 5 8 , 14 2 9 →= 50 42 5 10 , 14 2 11 →= 50 42 5 12 , 75 2 2 →= 76 42 5 6 , 75 2 7 →= 76 42 5 8 , 75 2 9 →= 76 42 5 10 , 75 2 11 →= 76 42 5 12 , 18 2 2 →= 51 42 5 6 , 18 2 7 →= 51 42 5 8 , 18 2 9 →= 51 42 5 10 , 18 2 11 →= 51 42 5 12 , 22 2 2 →= 52 42 5 6 , 22 2 7 →= 52 42 5 8 , 22 2 9 →= 52 42 5 10 , 22 2 11 →= 52 42 5 12 , 77 2 2 →= 78 42 5 6 , 77 2 7 →= 78 42 5 8 , 77 2 9 →= 78 42 5 10 , 77 2 11 →= 78 42 5 12 , 60 6 2 →= 79 43 5 6 , 60 6 7 →= 79 43 5 8 , 60 6 9 →= 79 43 5 10 , 60 6 11 →= 79 43 5 12 , 62 6 2 →= 80 43 5 6 , 62 6 7 →= 80 43 5 8 , 62 6 9 →= 80 43 5 10 , 62 6 11 →= 80 43 5 12 , 5 6 2 →= 40 43 5 6 , 5 6 7 →= 40 43 5 8 , 5 6 9 →= 40 43 5 10 , 5 6 11 →= 40 43 5 12 , 64 6 2 →= 81 43 5 6 , 64 6 7 →= 81 43 5 8 , 64 6 9 →= 81 43 5 10 , 64 6 11 →= 81 43 5 12 , 82 6 2 →= 83 43 5 6 , 82 6 7 →= 83 43 5 8 , 82 6 9 →= 83 43 5 10 , 82 6 11 →= 83 43 5 12 , 84 6 2 →= 85 43 5 6 , 84 6 7 →= 85 43 5 8 , 84 6 9 →= 85 43 5 10 , 84 6 11 →= 85 43 5 12 , 26 6 2 →= 33 43 5 6 , 26 6 7 →= 33 43 5 8 , 26 6 9 →= 33 43 5 10 , 26 6 11 →= 33 43 5 12 , 28 6 2 →= 34 43 5 6 , 28 6 7 →= 34 43 5 8 , 28 6 9 →= 34 43 5 10 , 28 6 11 →= 34 43 5 12 , 54 6 2 →= 86 43 5 6 , 54 6 7 →= 86 43 5 8 , 54 6 9 →= 86 43 5 10 , 54 6 11 →= 86 43 5 12 , 87 55 2 →= 71 67 5 6 , 87 55 7 →= 71 67 5 8 , 87 55 9 →= 71 67 5 10 , 87 55 11 →= 71 67 5 12 , 66 55 2 →= 68 67 5 6 , 66 55 7 →= 68 67 5 8 , 66 55 9 →= 68 67 5 10 , 66 55 11 →= 68 67 5 12 , 88 55 2 →= 72 67 5 6 , 88 55 7 →= 72 67 5 8 , 88 55 9 →= 72 67 5 10 , 88 55 11 →= 72 67 5 12 , 89 55 2 →= 90 67 5 6 , 89 55 7 →= 90 67 5 8 , 89 55 9 →= 90 67 5 10 , 89 55 11 →= 90 67 5 12 , 91 55 2 →= 73 67 5 6 , 91 55 7 →= 73 67 5 8 , 91 55 9 →= 73 67 5 10 , 91 55 11 →= 73 67 5 12 , 92 55 2 →= 74 67 5 6 , 92 55 7 →= 74 67 5 8 , 92 55 9 →= 74 67 5 10 , 92 55 11 →= 74 67 5 12 , 93 55 2 →= 94 67 5 6 , 93 55 7 →= 94 67 5 8 , 93 55 9 →= 94 67 5 10 , 93 55 11 →= 94 67 5 12 , 39 55 2 →= 44 67 5 6 , 39 55 7 →= 44 67 5 8 , 39 55 9 →= 44 67 5 10 , 39 55 11 →= 44 67 5 12 , 41 55 2 →= 45 67 5 6 , 41 55 7 →= 45 67 5 8 , 41 55 9 →= 45 67 5 10 , 41 55 11 →= 45 67 5 12 , 95 75 2 →= 96 97 5 6 , 95 75 7 →= 96 97 5 8 , 95 75 9 →= 96 97 5 10 , 95 75 11 →= 96 97 5 12 , 1 7 26 →= 38 42 27 28 , 1 7 29 →= 38 42 27 30 , 1 7 31 →= 38 42 27 32 , 1 7 33 →= 38 42 27 34 , 55 7 26 →= 58 42 27 28 , 55 7 29 →= 58 42 27 30 , 55 7 31 →= 58 42 27 32 , 55 7 33 →= 58 42 27 34 , 2 7 26 →= 11 42 27 28 , 2 7 29 →= 11 42 27 30 , 2 7 31 →= 11 42 27 32 , 2 7 33 →= 11 42 27 34 , 6 7 26 →= 12 42 27 28 , 6 7 29 →= 12 42 27 30 , 6 7 31 →= 12 42 27 32 , 6 7 33 →= 12 42 27 34 , 14 7 26 →= 50 42 27 28 , 14 7 29 →= 50 42 27 30 , 14 7 31 →= 50 42 27 32 , 14 7 33 →= 50 42 27 34 , 75 7 26 →= 76 42 27 28 , 75 7 29 →= 76 42 27 30 , 75 7 31 →= 76 42 27 32 , 75 7 33 →= 76 42 27 34 , 18 7 26 →= 51 42 27 28 , 18 7 29 →= 51 42 27 30 , 18 7 31 →= 51 42 27 32 , 18 7 33 →= 51 42 27 34 , 22 7 26 →= 52 42 27 28 , 22 7 29 →= 52 42 27 30 , 22 7 31 →= 52 42 27 32 , 22 7 33 →= 52 42 27 34 , 77 7 26 →= 78 42 27 28 , 77 7 29 →= 78 42 27 30 , 77 7 31 →= 78 42 27 32 , 77 7 33 →= 78 42 27 34 , 60 8 26 →= 79 43 27 28 , 60 8 29 →= 79 43 27 30 , 60 8 31 →= 79 43 27 32 , 60 8 33 →= 79 43 27 34 , 62 8 26 →= 80 43 27 28 , 62 8 29 →= 80 43 27 30 , 62 8 31 →= 80 43 27 32 , 62 8 33 →= 80 43 27 34 , 5 8 26 →= 40 43 27 28 , 5 8 29 →= 40 43 27 30 , 5 8 31 →= 40 43 27 32 , 5 8 33 →= 40 43 27 34 , 64 8 26 →= 81 43 27 28 , 64 8 29 →= 81 43 27 30 , 64 8 31 →= 81 43 27 32 , 64 8 33 →= 81 43 27 34 , 82 8 26 →= 83 43 27 28 , 82 8 29 →= 83 43 27 30 , 82 8 31 →= 83 43 27 32 , 82 8 33 →= 83 43 27 34 , 84 8 26 →= 85 43 27 28 , 84 8 29 →= 85 43 27 30 , 84 8 31 →= 85 43 27 32 , 84 8 33 →= 85 43 27 34 , 26 8 26 →= 33 43 27 28 , 26 8 29 →= 33 43 27 30 , 26 8 31 →= 33 43 27 32 , 26 8 33 →= 33 43 27 34 , 28 8 26 →= 34 43 27 28 , 28 8 29 →= 34 43 27 30 , 28 8 31 →= 34 43 27 32 , 28 8 33 →= 34 43 27 34 , 54 8 26 →= 86 43 27 28 , 54 8 29 →= 86 43 27 30 , 54 8 31 →= 86 43 27 32 , 54 8 33 →= 86 43 27 34 , 87 56 26 →= 71 67 27 28 , 87 56 29 →= 71 67 27 30 , 87 56 31 →= 71 67 27 32 , 87 56 33 →= 71 67 27 34 , 66 56 26 →= 68 67 27 28 , 66 56 29 →= 68 67 27 30 , 66 56 31 →= 68 67 27 32 , 66 56 33 →= 68 67 27 34 , 88 56 26 →= 72 67 27 28 , 88 56 29 →= 72 67 27 30 , 88 56 31 →= 72 67 27 32 , 88 56 33 →= 72 67 27 34 , 89 56 26 →= 90 67 27 28 , 89 56 29 →= 90 67 27 30 , 89 56 31 →= 90 67 27 32 , 89 56 33 →= 90 67 27 34 , 91 56 26 →= 73 67 27 28 , 91 56 29 →= 73 67 27 30 , 91 56 31 →= 73 67 27 32 , 91 56 33 →= 73 67 27 34 , 92 56 26 →= 74 67 27 28 , 92 56 29 →= 74 67 27 30 , 92 56 31 →= 74 67 27 32 , 92 56 33 →= 74 67 27 34 , 93 56 26 →= 94 67 27 28 , 93 56 29 →= 94 67 27 30 , 93 56 31 →= 94 67 27 32 , 93 56 33 →= 94 67 27 34 , 39 56 26 →= 44 67 27 28 , 39 56 29 →= 44 67 27 30 , 39 56 31 →= 44 67 27 32 , 39 56 33 →= 44 67 27 34 , 41 56 26 →= 45 67 27 28 , 41 56 29 →= 45 67 27 30 , 41 56 31 →= 45 67 27 32 , 41 56 33 →= 45 67 27 34 , 95 98 26 →= 96 97 27 28 , 95 98 29 →= 96 97 27 30 , 95 98 31 →= 96 97 27 32 , 95 98 33 →= 96 97 27 34 , 1 11 39 →= 38 42 40 41 , 1 11 42 →= 38 42 40 43 , 1 11 44 →= 38 42 40 45 , 1 11 46 →= 38 42 40 47 , 1 11 48 →= 38 42 40 49 , 55 11 39 →= 58 42 40 41 , 55 11 42 →= 58 42 40 43 , 55 11 44 →= 58 42 40 45 , 55 11 46 →= 58 42 40 47 , 55 11 48 →= 58 42 40 49 , 2 11 39 →= 11 42 40 41 , 2 11 42 →= 11 42 40 43 , 2 11 44 →= 11 42 40 45 , 2 11 46 →= 11 42 40 47 , 2 11 48 →= 11 42 40 49 , 6 11 39 →= 12 42 40 41 , 6 11 42 →= 12 42 40 43 , 6 11 44 →= 12 42 40 45 , 6 11 46 →= 12 42 40 47 , 6 11 48 →= 12 42 40 49 , 14 11 39 →= 50 42 40 41 , 14 11 42 →= 50 42 40 43 , 14 11 44 →= 50 42 40 45 , 14 11 46 →= 50 42 40 47 , 14 11 48 →= 50 42 40 49 , 75 11 39 →= 76 42 40 41 , 75 11 42 →= 76 42 40 43 , 75 11 44 →= 76 42 40 45 , 75 11 46 →= 76 42 40 47 , 75 11 48 →= 76 42 40 49 , 18 11 39 →= 51 42 40 41 , 18 11 42 →= 51 42 40 43 , 18 11 44 →= 51 42 40 45 , 18 11 46 →= 51 42 40 47 , 18 11 48 →= 51 42 40 49 , 22 11 39 →= 52 42 40 41 , 22 11 42 →= 52 42 40 43 , 22 11 44 →= 52 42 40 45 , 22 11 46 →= 52 42 40 47 , 22 11 48 →= 52 42 40 49 , 77 11 39 →= 78 42 40 41 , 77 11 42 →= 78 42 40 43 , 77 11 44 →= 78 42 40 45 , 77 11 46 →= 78 42 40 47 , 77 11 48 →= 78 42 40 49 , 60 12 39 →= 79 43 40 41 , 60 12 42 →= 79 43 40 43 , 60 12 44 →= 79 43 40 45 , 60 12 46 →= 79 43 40 47 , 60 12 48 →= 79 43 40 49 , 62 12 39 →= 80 43 40 41 , 62 12 42 →= 80 43 40 43 , 62 12 44 →= 80 43 40 45 , 62 12 46 →= 80 43 40 47 , 62 12 48 →= 80 43 40 49 , 5 12 39 →= 40 43 40 41 , 5 12 42 →= 40 43 40 43 , 5 12 44 →= 40 43 40 45 , 5 12 46 →= 40 43 40 47 , 5 12 48 →= 40 43 40 49 , 64 12 39 →= 81 43 40 41 , 64 12 42 →= 81 43 40 43 , 64 12 44 →= 81 43 40 45 , 64 12 46 →= 81 43 40 47 , 64 12 48 →= 81 43 40 49 , 82 12 39 →= 83 43 40 41 , 82 12 42 →= 83 43 40 43 , 82 12 44 →= 83 43 40 45 , 82 12 46 →= 83 43 40 47 , 82 12 48 →= 83 43 40 49 , 84 12 39 →= 85 43 40 41 , 84 12 42 →= 85 43 40 43 , 84 12 44 →= 85 43 40 45 , 84 12 46 →= 85 43 40 47 , 84 12 48 →= 85 43 40 49 , 26 12 39 →= 33 43 40 41 , 26 12 42 →= 33 43 40 43 , 26 12 44 →= 33 43 40 45 , 26 12 46 →= 33 43 40 47 , 26 12 48 →= 33 43 40 49 , 28 12 39 →= 34 43 40 41 , 28 12 42 →= 34 43 40 43 , 28 12 44 →= 34 43 40 45 , 28 12 46 →= 34 43 40 47 , 28 12 48 →= 34 43 40 49 , 54 12 39 →= 86 43 40 41 , 54 12 42 →= 86 43 40 43 , 54 12 44 →= 86 43 40 45 , 54 12 46 →= 86 43 40 47 , 54 12 48 →= 86 43 40 49 , 87 58 39 →= 71 67 40 41 , 87 58 42 →= 71 67 40 43 , 87 58 44 →= 71 67 40 45 , 87 58 46 →= 71 67 40 47 , 87 58 48 →= 71 67 40 49 , 66 58 39 →= 68 67 40 41 , 66 58 42 →= 68 67 40 43 , 66 58 44 →= 68 67 40 45 , 66 58 46 →= 68 67 40 47 , 66 58 48 →= 68 67 40 49 , 88 58 39 →= 72 67 40 41 , 88 58 42 →= 72 67 40 43 , 88 58 44 →= 72 67 40 45 , 88 58 46 →= 72 67 40 47 , 88 58 48 →= 72 67 40 49 , 89 58 39 →= 90 67 40 41 , 89 58 42 →= 90 67 40 43 , 89 58 44 →= 90 67 40 45 , 89 58 46 →= 90 67 40 47 , 89 58 48 →= 90 67 40 49 , 91 58 39 →= 73 67 40 41 , 91 58 42 →= 73 67 40 43 , 91 58 44 →= 73 67 40 45 , 91 58 46 →= 73 67 40 47 , 91 58 48 →= 73 67 40 49 , 92 58 39 →= 74 67 40 41 , 92 58 42 →= 74 67 40 43 , 92 58 44 →= 74 67 40 45 , 92 58 46 →= 74 67 40 47 , 92 58 48 →= 74 67 40 49 , 93 58 39 →= 94 67 40 41 , 93 58 42 →= 94 67 40 43 , 93 58 44 →= 94 67 40 45 , 93 58 46 →= 94 67 40 47 , 93 58 48 →= 94 67 40 49 , 39 58 39 →= 44 67 40 41 , 39 58 42 →= 44 67 40 43 , 39 58 44 →= 44 67 40 45 , 39 58 46 →= 44 67 40 47 , 39 58 48 →= 44 67 40 49 , 41 58 39 →= 45 67 40 41 , 41 58 42 →= 45 67 40 43 , 41 58 44 →= 45 67 40 45 , 41 58 46 →= 45 67 40 47 , 41 58 48 →= 45 67 40 49 , 95 76 39 →= 96 97 40 41 , 95 76 42 →= 96 97 40 43 , 95 76 44 →= 96 97 40 45 , 95 76 46 →= 96 97 40 47 , 95 76 48 →= 96 97 40 49 , 25 26 6 2 →= 1 11 39 55 , 25 26 6 7 →= 1 11 39 56 , 25 26 6 9 →= 1 11 39 57 , 25 26 6 11 →= 1 11 39 58 , 56 26 6 2 →= 55 11 39 55 , 56 26 6 7 →= 55 11 39 56 , 56 26 6 9 →= 55 11 39 57 , 56 26 6 11 →= 55 11 39 58 , 7 26 6 2 →= 2 11 39 55 , 7 26 6 7 →= 2 11 39 56 , 7 26 6 9 →= 2 11 39 57 , 7 26 6 11 →= 2 11 39 58 , 8 26 6 2 →= 6 11 39 55 , 8 26 6 7 →= 6 11 39 56 , 8 26 6 9 →= 6 11 39 57 , 8 26 6 11 →= 6 11 39 58 , 35 26 6 2 →= 14 11 39 55 , 35 26 6 7 →= 14 11 39 56 , 35 26 6 9 →= 14 11 39 57 , 35 26 6 11 →= 14 11 39 58 , 98 26 6 2 →= 75 11 39 55 , 98 26 6 7 →= 75 11 39 56 , 98 26 6 9 →= 75 11 39 57 , 98 26 6 11 →= 75 11 39 58 , 36 26 6 2 →= 18 11 39 55 , 36 26 6 7 →= 18 11 39 56 , 36 26 6 9 →= 18 11 39 57 , 36 26 6 11 →= 18 11 39 58 , 37 26 6 2 →= 22 11 39 55 , 37 26 6 7 →= 22 11 39 56 , 37 26 6 9 →= 22 11 39 57 , 37 26 6 11 →= 22 11 39 58 , 99 26 6 2 →= 77 11 39 55 , 99 26 6 7 →= 77 11 39 56 , 99 26 6 9 →= 77 11 39 57 , 99 26 6 11 →= 77 11 39 58 , 100 28 6 2 →= 60 12 39 55 , 100 28 6 7 →= 60 12 39 56 , 100 28 6 9 →= 60 12 39 57 , 100 28 6 11 →= 60 12 39 58 , 101 28 6 2 →= 62 12 39 55 , 101 28 6 7 →= 62 12 39 56 , 101 28 6 9 →= 62 12 39 57 , 101 28 6 11 →= 62 12 39 58 , 27 28 6 2 →= 5 12 39 55 , 27 28 6 7 →= 5 12 39 56 , 27 28 6 9 →= 5 12 39 57 , 27 28 6 11 →= 5 12 39 58 , 102 28 6 2 →= 64 12 39 55 , 102 28 6 7 →= 64 12 39 56 , 102 28 6 9 →= 64 12 39 57 , 102 28 6 11 →= 64 12 39 58 , 103 28 6 2 →= 82 12 39 55 , 103 28 6 7 →= 82 12 39 56 , 103 28 6 9 →= 82 12 39 57 , 103 28 6 11 →= 82 12 39 58 , 104 28 6 2 →= 84 12 39 55 , 104 28 6 7 →= 84 12 39 56 , 104 28 6 9 →= 84 12 39 57 , 104 28 6 11 →= 84 12 39 58 , 31 28 6 2 →= 26 12 39 55 , 31 28 6 7 →= 26 12 39 56 , 31 28 6 9 →= 26 12 39 57 , 31 28 6 11 →= 26 12 39 58 , 32 28 6 2 →= 28 12 39 55 , 32 28 6 7 →= 28 12 39 56 , 32 28 6 9 →= 28 12 39 57 , 32 28 6 11 →= 28 12 39 58 , 105 28 6 2 →= 54 12 39 55 , 105 28 6 7 →= 54 12 39 56 , 105 28 6 9 →= 54 12 39 57 , 105 28 6 11 →= 54 12 39 58 , 4 5 6 2 →= 87 58 39 55 , 4 5 6 7 →= 87 58 39 56 , 4 5 6 9 →= 87 58 39 57 , 4 5 6 11 →= 87 58 39 58 , 67 5 6 2 →= 66 58 39 55 , 67 5 6 7 →= 66 58 39 56 , 67 5 6 9 →= 66 58 39 57 , 67 5 6 11 →= 66 58 39 58 , 16 5 6 2 →= 88 58 39 55 , 16 5 6 7 →= 88 58 39 56 , 16 5 6 9 →= 88 58 39 57 , 16 5 6 11 →= 88 58 39 58 , 97 5 6 2 →= 89 58 39 55 , 97 5 6 7 →= 89 58 39 56 , 97 5 6 9 →= 89 58 39 57 , 97 5 6 11 →= 89 58 39 58 , 20 5 6 2 →= 91 58 39 55 , 20 5 6 7 →= 91 58 39 56 , 20 5 6 9 →= 91 58 39 57 , 20 5 6 11 →= 91 58 39 58 , 24 5 6 2 →= 92 58 39 55 , 24 5 6 7 →= 92 58 39 56 , 24 5 6 9 →= 92 58 39 57 , 24 5 6 11 →= 92 58 39 58 , 106 5 6 2 →= 93 58 39 55 , 106 5 6 7 →= 93 58 39 56 , 106 5 6 9 →= 93 58 39 57 , 106 5 6 11 →= 93 58 39 58 , 42 5 6 2 →= 39 58 39 55 , 42 5 6 7 →= 39 58 39 56 , 42 5 6 9 →= 39 58 39 57 , 42 5 6 11 →= 39 58 39 58 , 43 5 6 2 →= 41 58 39 55 , 43 5 6 7 →= 41 58 39 56 , 43 5 6 9 →= 41 58 39 57 , 43 5 6 11 →= 41 58 39 58 , 107 82 6 2 →= 95 76 39 55 , 107 82 6 7 →= 95 76 39 56 , 107 82 6 9 →= 95 76 39 57 , 107 82 6 11 →= 95 76 39 58 , 25 26 8 26 →= 1 11 42 5 , 25 26 8 29 →= 1 11 42 65 , 25 26 8 31 →= 1 11 42 27 , 25 26 8 33 →= 1 11 42 40 , 56 26 8 26 →= 55 11 42 5 , 56 26 8 29 →= 55 11 42 65 , 56 26 8 31 →= 55 11 42 27 , 56 26 8 33 →= 55 11 42 40 , 7 26 8 26 →= 2 11 42 5 , 7 26 8 29 →= 2 11 42 65 , 7 26 8 31 →= 2 11 42 27 , 7 26 8 33 →= 2 11 42 40 , 8 26 8 26 →= 6 11 42 5 , 8 26 8 29 →= 6 11 42 65 , 8 26 8 31 →= 6 11 42 27 , 8 26 8 33 →= 6 11 42 40 , 35 26 8 26 →= 14 11 42 5 , 35 26 8 29 →= 14 11 42 65 , 35 26 8 31 →= 14 11 42 27 , 35 26 8 33 →= 14 11 42 40 , 98 26 8 26 →= 75 11 42 5 , 98 26 8 29 →= 75 11 42 65 , 98 26 8 31 →= 75 11 42 27 , 98 26 8 33 →= 75 11 42 40 , 36 26 8 26 →= 18 11 42 5 , 36 26 8 29 →= 18 11 42 65 , 36 26 8 31 →= 18 11 42 27 , 36 26 8 33 →= 18 11 42 40 , 37 26 8 26 →= 22 11 42 5 , 37 26 8 29 →= 22 11 42 65 , 37 26 8 31 →= 22 11 42 27 , 37 26 8 33 →= 22 11 42 40 , 99 26 8 26 →= 77 11 42 5 , 99 26 8 29 →= 77 11 42 65 , 99 26 8 31 →= 77 11 42 27 , 99 26 8 33 →= 77 11 42 40 , 100 28 8 26 →= 60 12 42 5 , 100 28 8 29 →= 60 12 42 65 , 100 28 8 31 →= 60 12 42 27 , 100 28 8 33 →= 60 12 42 40 , 101 28 8 26 →= 62 12 42 5 , 101 28 8 29 →= 62 12 42 65 , 101 28 8 31 →= 62 12 42 27 , 101 28 8 33 →= 62 12 42 40 , 27 28 8 26 →= 5 12 42 5 , 27 28 8 29 →= 5 12 42 65 , 27 28 8 31 →= 5 12 42 27 , 27 28 8 33 →= 5 12 42 40 , 102 28 8 26 →= 64 12 42 5 , 102 28 8 29 →= 64 12 42 65 , 102 28 8 31 →= 64 12 42 27 , 102 28 8 33 →= 64 12 42 40 , 103 28 8 26 →= 82 12 42 5 , 103 28 8 29 →= 82 12 42 65 , 103 28 8 31 →= 82 12 42 27 , 103 28 8 33 →= 82 12 42 40 , 104 28 8 26 →= 84 12 42 5 , 104 28 8 29 →= 84 12 42 65 , 104 28 8 31 →= 84 12 42 27 , 104 28 8 33 →= 84 12 42 40 , 31 28 8 26 →= 26 12 42 5 , 31 28 8 29 →= 26 12 42 65 , 31 28 8 31 →= 26 12 42 27 , 31 28 8 33 →= 26 12 42 40 , 32 28 8 26 →= 28 12 42 5 , 32 28 8 29 →= 28 12 42 65 , 32 28 8 31 →= 28 12 42 27 , 32 28 8 33 →= 28 12 42 40 , 105 28 8 26 →= 54 12 42 5 , 105 28 8 29 →= 54 12 42 65 , 105 28 8 31 →= 54 12 42 27 , 105 28 8 33 →= 54 12 42 40 , 4 5 8 26 →= 87 58 42 5 , 4 5 8 29 →= 87 58 42 65 , 4 5 8 31 →= 87 58 42 27 , 4 5 8 33 →= 87 58 42 40 , 67 5 8 26 →= 66 58 42 5 , 67 5 8 29 →= 66 58 42 65 , 67 5 8 31 →= 66 58 42 27 , 67 5 8 33 →= 66 58 42 40 , 16 5 8 26 →= 88 58 42 5 , 16 5 8 29 →= 88 58 42 65 , 16 5 8 31 →= 88 58 42 27 , 16 5 8 33 →= 88 58 42 40 , 97 5 8 26 →= 89 58 42 5 , 97 5 8 29 →= 89 58 42 65 , 97 5 8 31 →= 89 58 42 27 , 97 5 8 33 →= 89 58 42 40 , 20 5 8 26 →= 91 58 42 5 , 20 5 8 29 →= 91 58 42 65 , 20 5 8 31 →= 91 58 42 27 , 20 5 8 33 →= 91 58 42 40 , 24 5 8 26 →= 92 58 42 5 , 24 5 8 29 →= 92 58 42 65 , 24 5 8 31 →= 92 58 42 27 , 24 5 8 33 →= 92 58 42 40 , 106 5 8 26 →= 93 58 42 5 , 106 5 8 29 →= 93 58 42 65 , 106 5 8 31 →= 93 58 42 27 , 106 5 8 33 →= 93 58 42 40 , 42 5 8 26 →= 39 58 42 5 , 42 5 8 29 →= 39 58 42 65 , 42 5 8 31 →= 39 58 42 27 , 42 5 8 33 →= 39 58 42 40 , 43 5 8 26 →= 41 58 42 5 , 43 5 8 29 →= 41 58 42 65 , 43 5 8 31 →= 41 58 42 27 , 43 5 8 33 →= 41 58 42 40 , 107 82 8 26 →= 95 76 42 5 , 107 82 8 29 →= 95 76 42 65 , 107 82 8 31 →= 95 76 42 27 , 107 82 8 33 →= 95 76 42 40 , 25 26 12 39 →= 1 11 44 66 , 25 26 12 42 →= 1 11 44 67 , 25 26 12 44 →= 1 11 44 68 , 25 26 12 46 →= 1 11 44 69 , 25 26 12 48 →= 1 11 44 70 , 56 26 12 39 →= 55 11 44 66 , 56 26 12 42 →= 55 11 44 67 , 56 26 12 44 →= 55 11 44 68 , 56 26 12 46 →= 55 11 44 69 , 56 26 12 48 →= 55 11 44 70 , 7 26 12 39 →= 2 11 44 66 , 7 26 12 42 →= 2 11 44 67 , 7 26 12 44 →= 2 11 44 68 , 7 26 12 46 →= 2 11 44 69 , 7 26 12 48 →= 2 11 44 70 , 8 26 12 39 →= 6 11 44 66 , 8 26 12 42 →= 6 11 44 67 , 8 26 12 44 →= 6 11 44 68 , 8 26 12 46 →= 6 11 44 69 , 8 26 12 48 →= 6 11 44 70 , 35 26 12 39 →= 14 11 44 66 , 35 26 12 42 →= 14 11 44 67 , 35 26 12 44 →= 14 11 44 68 , 35 26 12 46 →= 14 11 44 69 , 35 26 12 48 →= 14 11 44 70 , 98 26 12 39 →= 75 11 44 66 , 98 26 12 42 →= 75 11 44 67 , 98 26 12 44 →= 75 11 44 68 , 98 26 12 46 →= 75 11 44 69 , 98 26 12 48 →= 75 11 44 70 , 36 26 12 39 →= 18 11 44 66 , 36 26 12 42 →= 18 11 44 67 , 36 26 12 44 →= 18 11 44 68 , 36 26 12 46 →= 18 11 44 69 , 36 26 12 48 →= 18 11 44 70 , 37 26 12 39 →= 22 11 44 66 , 37 26 12 42 →= 22 11 44 67 , 37 26 12 44 →= 22 11 44 68 , 37 26 12 46 →= 22 11 44 69 , 37 26 12 48 →= 22 11 44 70 , 99 26 12 39 →= 77 11 44 66 , 99 26 12 42 →= 77 11 44 67 , 99 26 12 44 →= 77 11 44 68 , 99 26 12 46 →= 77 11 44 69 , 99 26 12 48 →= 77 11 44 70 , 100 28 12 39 →= 60 12 44 66 , 100 28 12 42 →= 60 12 44 67 , 100 28 12 44 →= 60 12 44 68 , 100 28 12 46 →= 60 12 44 69 , 100 28 12 48 →= 60 12 44 70 , 101 28 12 39 →= 62 12 44 66 , 101 28 12 42 →= 62 12 44 67 , 101 28 12 44 →= 62 12 44 68 , 101 28 12 46 →= 62 12 44 69 , 101 28 12 48 →= 62 12 44 70 , 27 28 12 39 →= 5 12 44 66 , 27 28 12 42 →= 5 12 44 67 , 27 28 12 44 →= 5 12 44 68 , 27 28 12 46 →= 5 12 44 69 , 27 28 12 48 →= 5 12 44 70 , 102 28 12 39 →= 64 12 44 66 , 102 28 12 42 →= 64 12 44 67 , 102 28 12 44 →= 64 12 44 68 , 102 28 12 46 →= 64 12 44 69 , 102 28 12 48 →= 64 12 44 70 , 103 28 12 39 →= 82 12 44 66 , 103 28 12 42 →= 82 12 44 67 , 103 28 12 44 →= 82 12 44 68 , 103 28 12 46 →= 82 12 44 69 , 103 28 12 48 →= 82 12 44 70 , 104 28 12 39 →= 84 12 44 66 , 104 28 12 42 →= 84 12 44 67 , 104 28 12 44 →= 84 12 44 68 , 104 28 12 46 →= 84 12 44 69 , 104 28 12 48 →= 84 12 44 70 , 31 28 12 39 →= 26 12 44 66 , 31 28 12 42 →= 26 12 44 67 , 31 28 12 44 →= 26 12 44 68 , 31 28 12 46 →= 26 12 44 69 , 31 28 12 48 →= 26 12 44 70 , 32 28 12 39 →= 28 12 44 66 , 32 28 12 42 →= 28 12 44 67 , 32 28 12 44 →= 28 12 44 68 , 32 28 12 46 →= 28 12 44 69 , 32 28 12 48 →= 28 12 44 70 , 105 28 12 39 →= 54 12 44 66 , 105 28 12 42 →= 54 12 44 67 , 105 28 12 44 →= 54 12 44 68 , 105 28 12 46 →= 54 12 44 69 , 105 28 12 48 →= 54 12 44 70 , 4 5 12 39 →= 87 58 44 66 , 4 5 12 42 →= 87 58 44 67 , 4 5 12 44 →= 87 58 44 68 , 4 5 12 46 →= 87 58 44 69 , 4 5 12 48 →= 87 58 44 70 , 67 5 12 39 →= 66 58 44 66 , 67 5 12 42 →= 66 58 44 67 , 67 5 12 44 →= 66 58 44 68 , 67 5 12 46 →= 66 58 44 69 , 67 5 12 48 →= 66 58 44 70 , 16 5 12 39 →= 88 58 44 66 , 16 5 12 42 →= 88 58 44 67 , 16 5 12 44 →= 88 58 44 68 , 16 5 12 46 →= 88 58 44 69 , 16 5 12 48 →= 88 58 44 70 , 97 5 12 39 →= 89 58 44 66 , 97 5 12 42 →= 89 58 44 67 , 97 5 12 44 →= 89 58 44 68 , 97 5 12 46 →= 89 58 44 69 , 97 5 12 48 →= 89 58 44 70 , 20 5 12 39 →= 91 58 44 66 , 20 5 12 42 →= 91 58 44 67 , 20 5 12 44 →= 91 58 44 68 , 20 5 12 46 →= 91 58 44 69 , 20 5 12 48 →= 91 58 44 70 , 24 5 12 39 →= 92 58 44 66 , 24 5 12 42 →= 92 58 44 67 , 24 5 12 44 →= 92 58 44 68 , 24 5 12 46 →= 92 58 44 69 , 24 5 12 48 →= 92 58 44 70 , 106 5 12 39 →= 93 58 44 66 , 106 5 12 42 →= 93 58 44 67 , 106 5 12 44 →= 93 58 44 68 , 106 5 12 46 →= 93 58 44 69 , 106 5 12 48 →= 93 58 44 70 , 42 5 12 39 →= 39 58 44 66 , 42 5 12 42 →= 39 58 44 67 , 42 5 12 44 →= 39 58 44 68 , 42 5 12 46 →= 39 58 44 69 , 42 5 12 48 →= 39 58 44 70 , 43 5 12 39 →= 41 58 44 66 , 43 5 12 42 →= 41 58 44 67 , 43 5 12 44 →= 41 58 44 68 , 43 5 12 46 →= 41 58 44 69 , 43 5 12 48 →= 41 58 44 70 , 107 82 12 39 →= 95 76 44 66 , 107 82 12 42 →= 95 76 44 67 , 107 82 12 44 →= 95 76 44 68 , 107 82 12 46 →= 95 76 44 69 , 107 82 12 48 →= 95 76 44 70 , 25 26 108 109 →= 1 11 46 110 , 56 26 108 109 →= 55 11 46 110 , 7 26 108 109 →= 2 11 46 110 , 8 26 108 109 →= 6 11 46 110 , 35 26 108 109 →= 14 11 46 110 , 98 26 108 109 →= 75 11 46 110 , 36 26 108 109 →= 18 11 46 110 , 37 26 108 109 →= 22 11 46 110 , 99 26 108 109 →= 77 11 46 110 , 100 28 108 109 →= 60 12 46 110 , 101 28 108 109 →= 62 12 46 110 , 27 28 108 109 →= 5 12 46 110 , 102 28 108 109 →= 64 12 46 110 , 103 28 108 109 →= 82 12 46 110 , 104 28 108 109 →= 84 12 46 110 , 31 28 108 109 →= 26 12 46 110 , 32 28 108 109 →= 28 12 46 110 , 105 28 108 109 →= 54 12 46 110 , 4 5 108 109 →= 87 58 46 110 , 67 5 108 109 →= 66 58 46 110 , 16 5 108 109 →= 88 58 46 110 , 97 5 108 109 →= 89 58 46 110 , 20 5 108 109 →= 91 58 46 110 , 24 5 108 109 →= 92 58 46 110 , 106 5 108 109 →= 93 58 46 110 , 42 5 108 109 →= 39 58 46 110 , 43 5 108 109 →= 41 58 46 110 , 38 44 68 66 55 →= 25 26 6 2 , 38 44 68 66 56 →= 25 26 6 7 , 38 44 68 66 57 →= 25 26 6 9 , 38 44 68 66 58 →= 25 26 6 11 , 58 44 68 66 55 →= 56 26 6 2 , 58 44 68 66 56 →= 56 26 6 7 , 58 44 68 66 57 →= 56 26 6 9 , 58 44 68 66 58 →= 56 26 6 11 , 11 44 68 66 55 →= 7 26 6 2 , 11 44 68 66 56 →= 7 26 6 7 , 11 44 68 66 57 →= 7 26 6 9 , 11 44 68 66 58 →= 7 26 6 11 , 12 44 68 66 55 →= 8 26 6 2 , 12 44 68 66 56 →= 8 26 6 7 , 12 44 68 66 57 →= 8 26 6 9 , 12 44 68 66 58 →= 8 26 6 11 , 50 44 68 66 55 →= 35 26 6 2 , 50 44 68 66 56 →= 35 26 6 7 , 50 44 68 66 57 →= 35 26 6 9 , 50 44 68 66 58 →= 35 26 6 11 , 76 44 68 66 55 →= 98 26 6 2 , 76 44 68 66 56 →= 98 26 6 7 , 76 44 68 66 57 →= 98 26 6 9 , 76 44 68 66 58 →= 98 26 6 11 , 51 44 68 66 55 →= 36 26 6 2 , 51 44 68 66 56 →= 36 26 6 7 , 51 44 68 66 57 →= 36 26 6 9 , 51 44 68 66 58 →= 36 26 6 11 , 52 44 68 66 55 →= 37 26 6 2 , 52 44 68 66 56 →= 37 26 6 7 , 52 44 68 66 57 →= 37 26 6 9 , 52 44 68 66 58 →= 37 26 6 11 , 78 44 68 66 55 →= 99 26 6 2 , 78 44 68 66 56 →= 99 26 6 7 , 78 44 68 66 57 →= 99 26 6 9 , 78 44 68 66 58 →= 99 26 6 11 , 79 45 68 66 55 →= 100 28 6 2 , 79 45 68 66 56 →= 100 28 6 7 , 79 45 68 66 57 →= 100 28 6 9 , 79 45 68 66 58 →= 100 28 6 11 , 80 45 68 66 55 →= 101 28 6 2 , 80 45 68 66 56 →= 101 28 6 7 , 80 45 68 66 57 →= 101 28 6 9 , 80 45 68 66 58 →= 101 28 6 11 , 40 45 68 66 55 →= 27 28 6 2 , 40 45 68 66 56 →= 27 28 6 7 , 40 45 68 66 57 →= 27 28 6 9 , 40 45 68 66 58 →= 27 28 6 11 , 81 45 68 66 55 →= 102 28 6 2 , 81 45 68 66 56 →= 102 28 6 7 , 81 45 68 66 57 →= 102 28 6 9 , 81 45 68 66 58 →= 102 28 6 11 , 83 45 68 66 55 →= 103 28 6 2 , 83 45 68 66 56 →= 103 28 6 7 , 83 45 68 66 57 →= 103 28 6 9 , 83 45 68 66 58 →= 103 28 6 11 , 85 45 68 66 55 →= 104 28 6 2 , 85 45 68 66 56 →= 104 28 6 7 , 85 45 68 66 57 →= 104 28 6 9 , 85 45 68 66 58 →= 104 28 6 11 , 33 45 68 66 55 →= 31 28 6 2 , 33 45 68 66 56 →= 31 28 6 7 , 33 45 68 66 57 →= 31 28 6 9 , 33 45 68 66 58 →= 31 28 6 11 , 34 45 68 66 55 →= 32 28 6 2 , 34 45 68 66 56 →= 32 28 6 7 , 34 45 68 66 57 →= 32 28 6 9 , 34 45 68 66 58 →= 32 28 6 11 , 86 45 68 66 55 →= 105 28 6 2 , 86 45 68 66 56 →= 105 28 6 7 , 86 45 68 66 57 →= 105 28 6 9 , 86 45 68 66 58 →= 105 28 6 11 , 71 68 68 66 55 →= 4 5 6 2 , 71 68 68 66 56 →= 4 5 6 7 , 71 68 68 66 57 →= 4 5 6 9 , 71 68 68 66 58 →= 4 5 6 11 , 68 68 68 66 55 →= 67 5 6 2 , 68 68 68 66 56 →= 67 5 6 7 , 68 68 68 66 57 →= 67 5 6 9 , 68 68 68 66 58 →= 67 5 6 11 , 72 68 68 66 55 →= 16 5 6 2 , 72 68 68 66 56 →= 16 5 6 7 , 72 68 68 66 57 →= 16 5 6 9 , 72 68 68 66 58 →= 16 5 6 11 , 90 68 68 66 55 →= 97 5 6 2 , 90 68 68 66 56 →= 97 5 6 7 , 90 68 68 66 57 →= 97 5 6 9 , 90 68 68 66 58 →= 97 5 6 11 , 73 68 68 66 55 →= 20 5 6 2 , 73 68 68 66 56 →= 20 5 6 7 , 73 68 68 66 57 →= 20 5 6 9 , 73 68 68 66 58 →= 20 5 6 11 , 74 68 68 66 55 →= 24 5 6 2 , 74 68 68 66 56 →= 24 5 6 7 , 74 68 68 66 57 →= 24 5 6 9 , 74 68 68 66 58 →= 24 5 6 11 , 94 68 68 66 55 →= 106 5 6 2 , 94 68 68 66 56 →= 106 5 6 7 , 94 68 68 66 57 →= 106 5 6 9 , 94 68 68 66 58 →= 106 5 6 11 , 44 68 68 66 55 →= 42 5 6 2 , 44 68 68 66 56 →= 42 5 6 7 , 44 68 68 66 57 →= 42 5 6 9 , 44 68 68 66 58 →= 42 5 6 11 , 45 68 68 66 55 →= 43 5 6 2 , 45 68 68 66 56 →= 43 5 6 7 , 45 68 68 66 57 →= 43 5 6 9 , 45 68 68 66 58 →= 43 5 6 11 , 96 90 68 66 55 →= 107 82 6 2 , 96 90 68 66 56 →= 107 82 6 7 , 96 90 68 66 57 →= 107 82 6 9 , 96 90 68 66 58 →= 107 82 6 11 , 38 44 68 67 5 →= 25 26 8 26 , 38 44 68 67 65 →= 25 26 8 29 , 38 44 68 67 27 →= 25 26 8 31 , 38 44 68 67 40 →= 25 26 8 33 , 58 44 68 67 5 →= 56 26 8 26 , 58 44 68 67 65 →= 56 26 8 29 , 58 44 68 67 27 →= 56 26 8 31 , 58 44 68 67 40 →= 56 26 8 33 , 11 44 68 67 5 →= 7 26 8 26 , 11 44 68 67 65 →= 7 26 8 29 , 11 44 68 67 27 →= 7 26 8 31 , 11 44 68 67 40 →= 7 26 8 33 , 12 44 68 67 5 →= 8 26 8 26 , 12 44 68 67 65 →= 8 26 8 29 , 12 44 68 67 27 →= 8 26 8 31 , 12 44 68 67 40 →= 8 26 8 33 , 50 44 68 67 5 →= 35 26 8 26 , 50 44 68 67 65 →= 35 26 8 29 , 50 44 68 67 27 →= 35 26 8 31 , 50 44 68 67 40 →= 35 26 8 33 , 76 44 68 67 5 →= 98 26 8 26 , 76 44 68 67 65 →= 98 26 8 29 , 76 44 68 67 27 →= 98 26 8 31 , 76 44 68 67 40 →= 98 26 8 33 , 51 44 68 67 5 →= 36 26 8 26 , 51 44 68 67 65 →= 36 26 8 29 , 51 44 68 67 27 →= 36 26 8 31 , 51 44 68 67 40 →= 36 26 8 33 , 52 44 68 67 5 →= 37 26 8 26 , 52 44 68 67 65 →= 37 26 8 29 , 52 44 68 67 27 →= 37 26 8 31 , 52 44 68 67 40 →= 37 26 8 33 , 78 44 68 67 5 →= 99 26 8 26 , 78 44 68 67 65 →= 99 26 8 29 , 78 44 68 67 27 →= 99 26 8 31 , 78 44 68 67 40 →= 99 26 8 33 , 79 45 68 67 5 →= 100 28 8 26 , 79 45 68 67 65 →= 100 28 8 29 , 79 45 68 67 27 →= 100 28 8 31 , 79 45 68 67 40 →= 100 28 8 33 , 80 45 68 67 5 →= 101 28 8 26 , 80 45 68 67 65 →= 101 28 8 29 , 80 45 68 67 27 →= 101 28 8 31 , 80 45 68 67 40 →= 101 28 8 33 , 40 45 68 67 5 →= 27 28 8 26 , 40 45 68 67 65 →= 27 28 8 29 , 40 45 68 67 27 →= 27 28 8 31 , 40 45 68 67 40 →= 27 28 8 33 , 81 45 68 67 5 →= 102 28 8 26 , 81 45 68 67 65 →= 102 28 8 29 , 81 45 68 67 27 →= 102 28 8 31 , 81 45 68 67 40 →= 102 28 8 33 , 83 45 68 67 5 →= 103 28 8 26 , 83 45 68 67 65 →= 103 28 8 29 , 83 45 68 67 27 →= 103 28 8 31 , 83 45 68 67 40 →= 103 28 8 33 , 85 45 68 67 5 →= 104 28 8 26 , 85 45 68 67 65 →= 104 28 8 29 , 85 45 68 67 27 →= 104 28 8 31 , 85 45 68 67 40 →= 104 28 8 33 , 33 45 68 67 5 →= 31 28 8 26 , 33 45 68 67 65 →= 31 28 8 29 , 33 45 68 67 27 →= 31 28 8 31 , 33 45 68 67 40 →= 31 28 8 33 , 34 45 68 67 5 →= 32 28 8 26 , 34 45 68 67 65 →= 32 28 8 29 , 34 45 68 67 27 →= 32 28 8 31 , 34 45 68 67 40 →= 32 28 8 33 , 86 45 68 67 5 →= 105 28 8 26 , 86 45 68 67 65 →= 105 28 8 29 , 86 45 68 67 27 →= 105 28 8 31 , 86 45 68 67 40 →= 105 28 8 33 , 71 68 68 67 5 →= 4 5 8 26 , 71 68 68 67 65 →= 4 5 8 29 , 71 68 68 67 27 →= 4 5 8 31 , 71 68 68 67 40 →= 4 5 8 33 , 68 68 68 67 5 →= 67 5 8 26 , 68 68 68 67 65 →= 67 5 8 29 , 68 68 68 67 27 →= 67 5 8 31 , 68 68 68 67 40 →= 67 5 8 33 , 72 68 68 67 5 →= 16 5 8 26 , 72 68 68 67 65 →= 16 5 8 29 , 72 68 68 67 27 →= 16 5 8 31 , 72 68 68 67 40 →= 16 5 8 33 , 90 68 68 67 5 →= 97 5 8 26 , 90 68 68 67 65 →= 97 5 8 29 , 90 68 68 67 27 →= 97 5 8 31 , 90 68 68 67 40 →= 97 5 8 33 , 73 68 68 67 5 →= 20 5 8 26 , 73 68 68 67 65 →= 20 5 8 29 , 73 68 68 67 27 →= 20 5 8 31 , 73 68 68 67 40 →= 20 5 8 33 , 74 68 68 67 5 →= 24 5 8 26 , 74 68 68 67 65 →= 24 5 8 29 , 74 68 68 67 27 →= 24 5 8 31 , 74 68 68 67 40 →= 24 5 8 33 , 94 68 68 67 5 →= 106 5 8 26 , 94 68 68 67 65 →= 106 5 8 29 , 94 68 68 67 27 →= 106 5 8 31 , 94 68 68 67 40 →= 106 5 8 33 , 44 68 68 67 5 →= 42 5 8 26 , 44 68 68 67 65 →= 42 5 8 29 , 44 68 68 67 27 →= 42 5 8 31 , 44 68 68 67 40 →= 42 5 8 33 , 45 68 68 67 5 →= 43 5 8 26 , 45 68 68 67 65 →= 43 5 8 29 , 45 68 68 67 27 →= 43 5 8 31 , 45 68 68 67 40 →= 43 5 8 33 , 96 90 68 67 5 →= 107 82 8 26 , 96 90 68 67 65 →= 107 82 8 29 , 96 90 68 67 27 →= 107 82 8 31 , 96 90 68 67 40 →= 107 82 8 33 , 38 44 68 68 66 →= 25 26 12 39 , 38 44 68 68 67 →= 25 26 12 42 , 38 44 68 68 68 →= 25 26 12 44 , 38 44 68 68 69 →= 25 26 12 46 , 38 44 68 68 70 →= 25 26 12 48 , 58 44 68 68 66 →= 56 26 12 39 , 58 44 68 68 67 →= 56 26 12 42 , 58 44 68 68 68 →= 56 26 12 44 , 58 44 68 68 69 →= 56 26 12 46 , 58 44 68 68 70 →= 56 26 12 48 , 11 44 68 68 66 →= 7 26 12 39 , 11 44 68 68 67 →= 7 26 12 42 , 11 44 68 68 68 →= 7 26 12 44 , 11 44 68 68 69 →= 7 26 12 46 , 11 44 68 68 70 →= 7 26 12 48 , 12 44 68 68 66 →= 8 26 12 39 , 12 44 68 68 67 →= 8 26 12 42 , 12 44 68 68 68 →= 8 26 12 44 , 12 44 68 68 69 →= 8 26 12 46 , 12 44 68 68 70 →= 8 26 12 48 , 50 44 68 68 66 →= 35 26 12 39 , 50 44 68 68 67 →= 35 26 12 42 , 50 44 68 68 68 →= 35 26 12 44 , 50 44 68 68 69 →= 35 26 12 46 , 50 44 68 68 70 →= 35 26 12 48 , 76 44 68 68 66 →= 98 26 12 39 , 76 44 68 68 67 →= 98 26 12 42 , 76 44 68 68 68 →= 98 26 12 44 , 76 44 68 68 69 →= 98 26 12 46 , 76 44 68 68 70 →= 98 26 12 48 , 51 44 68 68 66 →= 36 26 12 39 , 51 44 68 68 67 →= 36 26 12 42 , 51 44 68 68 68 →= 36 26 12 44 , 51 44 68 68 69 →= 36 26 12 46 , 51 44 68 68 70 →= 36 26 12 48 , 52 44 68 68 66 →= 37 26 12 39 , 52 44 68 68 67 →= 37 26 12 42 , 52 44 68 68 68 →= 37 26 12 44 , 52 44 68 68 69 →= 37 26 12 46 , 52 44 68 68 70 →= 37 26 12 48 , 78 44 68 68 66 →= 99 26 12 39 , 78 44 68 68 67 →= 99 26 12 42 , 78 44 68 68 68 →= 99 26 12 44 , 78 44 68 68 69 →= 99 26 12 46 , 78 44 68 68 70 →= 99 26 12 48 , 79 45 68 68 66 →= 100 28 12 39 , 79 45 68 68 67 →= 100 28 12 42 , 79 45 68 68 68 →= 100 28 12 44 , 79 45 68 68 69 →= 100 28 12 46 , 79 45 68 68 70 →= 100 28 12 48 , 80 45 68 68 66 →= 101 28 12 39 , 80 45 68 68 67 →= 101 28 12 42 , 80 45 68 68 68 →= 101 28 12 44 , 80 45 68 68 69 →= 101 28 12 46 , 80 45 68 68 70 →= 101 28 12 48 , 40 45 68 68 66 →= 27 28 12 39 , 40 45 68 68 67 →= 27 28 12 42 , 40 45 68 68 68 →= 27 28 12 44 , 40 45 68 68 69 →= 27 28 12 46 , 40 45 68 68 70 →= 27 28 12 48 , 81 45 68 68 66 →= 102 28 12 39 , 81 45 68 68 67 →= 102 28 12 42 , 81 45 68 68 68 →= 102 28 12 44 , 81 45 68 68 69 →= 102 28 12 46 , 81 45 68 68 70 →= 102 28 12 48 , 83 45 68 68 66 →= 103 28 12 39 , 83 45 68 68 67 →= 103 28 12 42 , 83 45 68 68 68 →= 103 28 12 44 , 83 45 68 68 69 →= 103 28 12 46 , 83 45 68 68 70 →= 103 28 12 48 , 85 45 68 68 66 →= 104 28 12 39 , 85 45 68 68 67 →= 104 28 12 42 , 85 45 68 68 68 →= 104 28 12 44 , 85 45 68 68 69 →= 104 28 12 46 , 85 45 68 68 70 →= 104 28 12 48 , 33 45 68 68 66 →= 31 28 12 39 , 33 45 68 68 67 →= 31 28 12 42 , 33 45 68 68 68 →= 31 28 12 44 , 33 45 68 68 69 →= 31 28 12 46 , 33 45 68 68 70 →= 31 28 12 48 , 34 45 68 68 66 →= 32 28 12 39 , 34 45 68 68 67 →= 32 28 12 42 , 34 45 68 68 68 →= 32 28 12 44 , 34 45 68 68 69 →= 32 28 12 46 , 34 45 68 68 70 →= 32 28 12 48 , 86 45 68 68 66 →= 105 28 12 39 , 86 45 68 68 67 →= 105 28 12 42 , 86 45 68 68 68 →= 105 28 12 44 , 86 45 68 68 69 →= 105 28 12 46 , 86 45 68 68 70 →= 105 28 12 48 , 71 68 68 68 66 →= 4 5 12 39 , 71 68 68 68 67 →= 4 5 12 42 , 71 68 68 68 68 →= 4 5 12 44 , 71 68 68 68 69 →= 4 5 12 46 , 71 68 68 68 70 →= 4 5 12 48 , 68 68 68 68 66 →= 67 5 12 39 , 68 68 68 68 67 →= 67 5 12 42 , 68 68 68 68 68 →= 67 5 12 44 , 68 68 68 68 69 →= 67 5 12 46 , 68 68 68 68 70 →= 67 5 12 48 , 72 68 68 68 66 →= 16 5 12 39 , 72 68 68 68 67 →= 16 5 12 42 , 72 68 68 68 68 →= 16 5 12 44 , 72 68 68 68 69 →= 16 5 12 46 , 72 68 68 68 70 →= 16 5 12 48 , 90 68 68 68 66 →= 97 5 12 39 , 90 68 68 68 67 →= 97 5 12 42 , 90 68 68 68 68 →= 97 5 12 44 , 90 68 68 68 69 →= 97 5 12 46 , 90 68 68 68 70 →= 97 5 12 48 , 73 68 68 68 66 →= 20 5 12 39 , 73 68 68 68 67 →= 20 5 12 42 , 73 68 68 68 68 →= 20 5 12 44 , 73 68 68 68 69 →= 20 5 12 46 , 73 68 68 68 70 →= 20 5 12 48 , 74 68 68 68 66 →= 24 5 12 39 , 74 68 68 68 67 →= 24 5 12 42 , 74 68 68 68 68 →= 24 5 12 44 , 74 68 68 68 69 →= 24 5 12 46 , 74 68 68 68 70 →= 24 5 12 48 , 94 68 68 68 66 →= 106 5 12 39 , 94 68 68 68 67 →= 106 5 12 42 , 94 68 68 68 68 →= 106 5 12 44 , 94 68 68 68 69 →= 106 5 12 46 , 94 68 68 68 70 →= 106 5 12 48 , 44 68 68 68 66 →= 42 5 12 39 , 44 68 68 68 67 →= 42 5 12 42 , 44 68 68 68 68 →= 42 5 12 44 , 44 68 68 68 69 →= 42 5 12 46 , 44 68 68 68 70 →= 42 5 12 48 , 45 68 68 68 66 →= 43 5 12 39 , 45 68 68 68 67 →= 43 5 12 42 , 45 68 68 68 68 →= 43 5 12 44 , 45 68 68 68 69 →= 43 5 12 46 , 45 68 68 68 70 →= 43 5 12 48 , 96 90 68 68 66 →= 107 82 12 39 , 96 90 68 68 67 →= 107 82 12 42 , 96 90 68 68 68 →= 107 82 12 44 , 96 90 68 68 69 →= 107 82 12 46 , 96 90 68 68 70 →= 107 82 12 48 , 38 44 68 69 110 →= 25 26 108 109 , 58 44 68 69 110 →= 56 26 108 109 , 11 44 68 69 110 →= 7 26 108 109 , 12 44 68 69 110 →= 8 26 108 109 , 50 44 68 69 110 →= 35 26 108 109 , 76 44 68 69 110 →= 98 26 108 109 , 51 44 68 69 110 →= 36 26 108 109 , 52 44 68 69 110 →= 37 26 108 109 , 78 44 68 69 110 →= 99 26 108 109 , 79 45 68 69 110 →= 100 28 108 109 , 80 45 68 69 110 →= 101 28 108 109 , 40 45 68 69 110 →= 27 28 108 109 , 81 45 68 69 110 →= 102 28 108 109 , 83 45 68 69 110 →= 103 28 108 109 , 85 45 68 69 110 →= 104 28 108 109 , 33 45 68 69 110 →= 31 28 108 109 , 34 45 68 69 110 →= 32 28 108 109 , 86 45 68 69 110 →= 105 28 108 109 , 71 68 68 69 110 →= 4 5 108 109 , 68 68 68 69 110 →= 67 5 108 109 , 72 68 68 69 110 →= 16 5 108 109 , 90 68 68 69 110 →= 97 5 108 109 , 73 68 68 69 110 →= 20 5 108 109 , 74 68 68 69 110 →= 24 5 108 109 , 94 68 68 69 110 →= 106 5 108 109 , 44 68 68 69 110 →= 42 5 108 109 , 45 68 68 69 110 →= 43 5 108 109 } Applying sparse untiling TROCU(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2, 3 ↦ 3, 4 ↦ 4, 5 ↦ 5, 6 ↦ 6, 7 ↦ 7, 8 ↦ 8, 11 ↦ 9, 12 ↦ 10, 13 ↦ 11, 14 ↦ 12, 15 ↦ 13, 16 ↦ 14, 17 ↦ 15, 18 ↦ 16, 19 ↦ 17, 20 ↦ 18, 21 ↦ 19, 22 ↦ 20, 23 ↦ 21, 24 ↦ 22, 25 ↦ 23, 26 ↦ 24, 27 ↦ 25, 28 ↦ 26, 31 ↦ 27, 32 ↦ 28, 33 ↦ 29, 34 ↦ 30, 35 ↦ 31, 36 ↦ 32, 37 ↦ 33, 38 ↦ 34, 39 ↦ 35, 40 ↦ 36, 41 ↦ 37, 42 ↦ 38, 43 ↦ 39, 44 ↦ 40, 45 ↦ 41, 50 ↦ 42, 51 ↦ 43, 52 ↦ 44, 53 ↦ 45, 54 ↦ 46, 55 ↦ 47, 56 ↦ 48, 9 ↦ 49, 57 ↦ 50, 58 ↦ 51, 59 ↦ 52, 60 ↦ 53, 61 ↦ 54, 62 ↦ 55, 63 ↦ 56, 64 ↦ 57, 29 ↦ 58, 65 ↦ 59, 66 ↦ 60, 67 ↦ 61, 68 ↦ 62, 46 ↦ 63, 69 ↦ 64, 48 ↦ 65, 70 ↦ 66, 71 ↦ 67, 72 ↦ 68, 73 ↦ 69, 74 ↦ 70, 75 ↦ 71, 76 ↦ 72, 77 ↦ 73, 78 ↦ 74, 79 ↦ 75, 10 ↦ 76, 80 ↦ 77, 81 ↦ 78, 82 ↦ 79, 83 ↦ 80, 84 ↦ 81, 85 ↦ 82, 86 ↦ 83, 87 ↦ 84, 88 ↦ 85, 89 ↦ 86, 90 ↦ 87, 91 ↦ 88, 92 ↦ 89, 93 ↦ 90, 94 ↦ 91, 95 ↦ 92, 96 ↦ 93, 97 ↦ 94, 30 ↦ 95, 98 ↦ 96, 47 ↦ 97, 49 ↦ 98, 99 ↦ 99, 100 ↦ 100, 101 ↦ 101, 102 ↦ 102, 103 ↦ 103, 104 ↦ 104, 105 ↦ 105, 106 ↦ 106, 107 ↦ 107, 108 ↦ 108, 109 ↦ 109, 110 ↦ 110 }, it remains to prove termination of the 1228-rule system { 0 1 2 ⟶ 3 4 5 6 , 0 1 7 ⟶ 3 4 5 8 , 0 1 9 ⟶ 3 4 5 10 , 11 12 2 ⟶ 13 14 5 6 , 11 12 7 ⟶ 13 14 5 8 , 11 12 9 ⟶ 13 14 5 10 , 15 16 2 ⟶ 17 18 5 6 , 15 16 7 ⟶ 17 18 5 8 , 15 16 9 ⟶ 17 18 5 10 , 19 20 2 ⟶ 21 22 5 6 , 19 20 7 ⟶ 21 22 5 8 , 19 20 9 ⟶ 21 22 5 10 , 0 23 24 ⟶ 3 4 25 26 , 0 23 27 ⟶ 3 4 25 28 , 0 23 29 ⟶ 3 4 25 30 , 11 31 24 ⟶ 13 14 25 26 , 11 31 27 ⟶ 13 14 25 28 , 11 31 29 ⟶ 13 14 25 30 , 15 32 24 ⟶ 17 18 25 26 , 15 32 27 ⟶ 17 18 25 28 , 15 32 29 ⟶ 17 18 25 30 , 19 33 24 ⟶ 21 22 25 26 , 19 33 27 ⟶ 21 22 25 28 , 19 33 29 ⟶ 21 22 25 30 , 0 34 35 ⟶ 3 4 36 37 , 0 34 38 ⟶ 3 4 36 39 , 0 34 40 ⟶ 3 4 36 41 , 11 42 35 ⟶ 13 14 36 37 , 11 42 38 ⟶ 13 14 36 39 , 11 42 40 ⟶ 13 14 36 41 , 15 43 35 ⟶ 17 18 36 37 , 15 43 38 ⟶ 17 18 36 39 , 15 43 40 ⟶ 17 18 36 41 , 19 44 35 ⟶ 21 22 36 37 , 19 44 38 ⟶ 21 22 36 39 , 19 44 40 ⟶ 21 22 36 41 , 45 46 6 2 ⟶ 0 34 35 47 , 45 46 6 7 ⟶ 0 34 35 48 , 45 46 6 49 ⟶ 0 34 35 50 , 45 46 6 9 ⟶ 0 34 35 51 , 52 53 6 2 ⟶ 11 42 35 47 , 52 53 6 7 ⟶ 11 42 35 48 , 52 53 6 49 ⟶ 11 42 35 50 , 52 53 6 9 ⟶ 11 42 35 51 , 54 55 6 2 ⟶ 15 43 35 47 , 54 55 6 7 ⟶ 15 43 35 48 , 54 55 6 49 ⟶ 15 43 35 50 , 54 55 6 9 ⟶ 15 43 35 51 , 56 57 6 2 ⟶ 19 44 35 47 , 56 57 6 7 ⟶ 19 44 35 48 , 56 57 6 49 ⟶ 19 44 35 50 , 56 57 6 9 ⟶ 19 44 35 51 , 45 46 8 24 ⟶ 0 34 38 5 , 45 46 8 58 ⟶ 0 34 38 59 , 45 46 8 27 ⟶ 0 34 38 25 , 45 46 8 29 ⟶ 0 34 38 36 , 52 53 8 24 ⟶ 11 42 38 5 , 52 53 8 58 ⟶ 11 42 38 59 , 52 53 8 27 ⟶ 11 42 38 25 , 52 53 8 29 ⟶ 11 42 38 36 , 54 55 8 24 ⟶ 15 43 38 5 , 54 55 8 58 ⟶ 15 43 38 59 , 54 55 8 27 ⟶ 15 43 38 25 , 54 55 8 29 ⟶ 15 43 38 36 , 56 57 8 24 ⟶ 19 44 38 5 , 56 57 8 58 ⟶ 19 44 38 59 , 56 57 8 27 ⟶ 19 44 38 25 , 56 57 8 29 ⟶ 19 44 38 36 , 45 46 10 35 ⟶ 0 34 40 60 , 45 46 10 38 ⟶ 0 34 40 61 , 45 46 10 40 ⟶ 0 34 40 62 , 45 46 10 63 ⟶ 0 34 40 64 , 45 46 10 65 ⟶ 0 34 40 66 , 52 53 10 35 ⟶ 11 42 40 60 , 52 53 10 38 ⟶ 11 42 40 61 , 52 53 10 40 ⟶ 11 42 40 62 , 52 53 10 63 ⟶ 11 42 40 64 , 52 53 10 65 ⟶ 11 42 40 66 , 54 55 10 35 ⟶ 15 43 40 60 , 54 55 10 38 ⟶ 15 43 40 61 , 54 55 10 40 ⟶ 15 43 40 62 , 54 55 10 63 ⟶ 15 43 40 64 , 54 55 10 65 ⟶ 15 43 40 66 , 56 57 10 35 ⟶ 19 44 40 60 , 56 57 10 38 ⟶ 19 44 40 61 , 56 57 10 40 ⟶ 19 44 40 62 , 56 57 10 63 ⟶ 19 44 40 64 , 56 57 10 65 ⟶ 19 44 40 66 , 3 67 62 60 47 ⟶ 45 46 6 2 , 3 67 62 60 48 ⟶ 45 46 6 7 , 3 67 62 60 50 ⟶ 45 46 6 49 , 3 67 62 60 51 ⟶ 45 46 6 9 , 13 68 62 60 47 ⟶ 52 53 6 2 , 13 68 62 60 48 ⟶ 52 53 6 7 , 13 68 62 60 50 ⟶ 52 53 6 49 , 13 68 62 60 51 ⟶ 52 53 6 9 , 17 69 62 60 47 ⟶ 54 55 6 2 , 17 69 62 60 48 ⟶ 54 55 6 7 , 17 69 62 60 50 ⟶ 54 55 6 49 , 17 69 62 60 51 ⟶ 54 55 6 9 , 21 70 62 60 47 ⟶ 56 57 6 2 , 21 70 62 60 48 ⟶ 56 57 6 7 , 21 70 62 60 50 ⟶ 56 57 6 49 , 21 70 62 60 51 ⟶ 56 57 6 9 , 3 67 62 61 5 ⟶ 45 46 8 24 , 3 67 62 61 59 ⟶ 45 46 8 58 , 3 67 62 61 25 ⟶ 45 46 8 27 , 3 67 62 61 36 ⟶ 45 46 8 29 , 13 68 62 61 5 ⟶ 52 53 8 24 , 13 68 62 61 59 ⟶ 52 53 8 58 , 13 68 62 61 25 ⟶ 52 53 8 27 , 13 68 62 61 36 ⟶ 52 53 8 29 , 17 69 62 61 5 ⟶ 54 55 8 24 , 17 69 62 61 59 ⟶ 54 55 8 58 , 17 69 62 61 25 ⟶ 54 55 8 27 , 17 69 62 61 36 ⟶ 54 55 8 29 , 21 70 62 61 5 ⟶ 56 57 8 24 , 21 70 62 61 59 ⟶ 56 57 8 58 , 21 70 62 61 25 ⟶ 56 57 8 27 , 21 70 62 61 36 ⟶ 56 57 8 29 , 3 67 62 62 60 ⟶ 45 46 10 35 , 3 67 62 62 61 ⟶ 45 46 10 38 , 3 67 62 62 62 ⟶ 45 46 10 40 , 3 67 62 62 64 ⟶ 45 46 10 63 , 3 67 62 62 66 ⟶ 45 46 10 65 , 13 68 62 62 60 ⟶ 52 53 10 35 , 13 68 62 62 61 ⟶ 52 53 10 38 , 13 68 62 62 62 ⟶ 52 53 10 40 , 13 68 62 62 64 ⟶ 52 53 10 63 , 13 68 62 62 66 ⟶ 52 53 10 65 , 17 69 62 62 60 ⟶ 54 55 10 35 , 17 69 62 62 61 ⟶ 54 55 10 38 , 17 69 62 62 62 ⟶ 54 55 10 40 , 17 69 62 62 64 ⟶ 54 55 10 63 , 17 69 62 62 66 ⟶ 54 55 10 65 , 21 70 62 62 60 ⟶ 56 57 10 35 , 21 70 62 62 61 ⟶ 56 57 10 38 , 21 70 62 62 62 ⟶ 56 57 10 40 , 21 70 62 62 64 ⟶ 56 57 10 63 , 21 70 62 62 66 ⟶ 56 57 10 65 , 1 2 2 →= 34 38 5 6 , 1 2 7 →= 34 38 5 8 , 1 2 9 →= 34 38 5 10 , 47 2 2 →= 51 38 5 6 , 47 2 7 →= 51 38 5 8 , 47 2 9 →= 51 38 5 10 , 2 2 2 →= 9 38 5 6 , 2 2 7 →= 9 38 5 8 , 2 2 9 →= 9 38 5 10 , 6 2 2 →= 10 38 5 6 , 6 2 7 →= 10 38 5 8 , 6 2 9 →= 10 38 5 10 , 12 2 2 →= 42 38 5 6 , 12 2 7 →= 42 38 5 8 , 12 2 9 →= 42 38 5 10 , 71 2 2 →= 72 38 5 6 , 71 2 7 →= 72 38 5 8 , 71 2 9 →= 72 38 5 10 , 16 2 2 →= 43 38 5 6 , 16 2 7 →= 43 38 5 8 , 16 2 9 →= 43 38 5 10 , 20 2 2 →= 44 38 5 6 , 20 2 7 →= 44 38 5 8 , 20 2 9 →= 44 38 5 10 , 73 2 2 →= 74 38 5 6 , 73 2 7 →= 74 38 5 8 , 73 2 9 →= 74 38 5 10 , 53 6 2 →= 75 39 5 6 , 53 6 7 →= 75 39 5 8 , 53 6 49 →= 75 39 5 76 , 53 6 9 →= 75 39 5 10 , 55 6 2 →= 77 39 5 6 , 55 6 7 →= 77 39 5 8 , 55 6 49 →= 77 39 5 76 , 55 6 9 →= 77 39 5 10 , 5 6 2 →= 36 39 5 6 , 5 6 7 →= 36 39 5 8 , 5 6 49 →= 36 39 5 76 , 5 6 9 →= 36 39 5 10 , 57 6 2 →= 78 39 5 6 , 57 6 7 →= 78 39 5 8 , 57 6 49 →= 78 39 5 76 , 57 6 9 →= 78 39 5 10 , 79 6 2 →= 80 39 5 6 , 79 6 7 →= 80 39 5 8 , 79 6 49 →= 80 39 5 76 , 79 6 9 →= 80 39 5 10 , 81 6 2 →= 82 39 5 6 , 81 6 7 →= 82 39 5 8 , 81 6 49 →= 82 39 5 76 , 81 6 9 →= 82 39 5 10 , 24 6 2 →= 29 39 5 6 , 24 6 7 →= 29 39 5 8 , 24 6 49 →= 29 39 5 76 , 24 6 9 →= 29 39 5 10 , 26 6 2 →= 30 39 5 6 , 26 6 7 →= 30 39 5 8 , 26 6 49 →= 30 39 5 76 , 26 6 9 →= 30 39 5 10 , 46 6 2 →= 83 39 5 6 , 46 6 7 →= 83 39 5 8 , 46 6 49 →= 83 39 5 76 , 46 6 9 →= 83 39 5 10 , 84 47 2 →= 67 61 5 6 , 84 47 7 →= 67 61 5 8 , 84 47 9 →= 67 61 5 10 , 60 47 2 →= 62 61 5 6 , 60 47 7 →= 62 61 5 8 , 60 47 9 →= 62 61 5 10 , 85 47 2 →= 68 61 5 6 , 85 47 7 →= 68 61 5 8 , 85 47 9 →= 68 61 5 10 , 86 47 2 →= 87 61 5 6 , 86 47 7 →= 87 61 5 8 , 86 47 9 →= 87 61 5 10 , 88 47 2 →= 69 61 5 6 , 88 47 7 →= 69 61 5 8 , 88 47 9 →= 69 61 5 10 , 89 47 2 →= 70 61 5 6 , 89 47 7 →= 70 61 5 8 , 89 47 9 →= 70 61 5 10 , 90 47 2 →= 91 61 5 6 , 90 47 7 →= 91 61 5 8 , 90 47 9 →= 91 61 5 10 , 35 47 2 →= 40 61 5 6 , 35 47 7 →= 40 61 5 8 , 35 47 9 →= 40 61 5 10 , 37 47 2 →= 41 61 5 6 , 37 47 7 →= 41 61 5 8 , 37 47 9 →= 41 61 5 10 , 92 71 2 →= 93 94 5 6 , 92 71 7 →= 93 94 5 8 , 92 71 9 →= 93 94 5 10 , 1 7 24 →= 34 38 25 26 , 1 7 27 →= 34 38 25 28 , 1 7 29 →= 34 38 25 30 , 47 7 24 →= 51 38 25 26 , 47 7 27 →= 51 38 25 28 , 47 7 29 →= 51 38 25 30 , 2 7 24 →= 9 38 25 26 , 2 7 27 →= 9 38 25 28 , 2 7 29 →= 9 38 25 30 , 6 7 24 →= 10 38 25 26 , 6 7 27 →= 10 38 25 28 , 6 7 29 →= 10 38 25 30 , 12 7 24 →= 42 38 25 26 , 12 7 27 →= 42 38 25 28 , 12 7 29 →= 42 38 25 30 , 71 7 24 →= 72 38 25 26 , 71 7 27 →= 72 38 25 28 , 71 7 29 →= 72 38 25 30 , 16 7 24 →= 43 38 25 26 , 16 7 27 →= 43 38 25 28 , 16 7 29 →= 43 38 25 30 , 20 7 24 →= 44 38 25 26 , 20 7 27 →= 44 38 25 28 , 20 7 29 →= 44 38 25 30 , 73 7 24 →= 74 38 25 26 , 73 7 27 →= 74 38 25 28 , 73 7 29 →= 74 38 25 30 , 53 8 24 →= 75 39 25 26 , 53 8 58 →= 75 39 25 95 , 53 8 27 →= 75 39 25 28 , 53 8 29 →= 75 39 25 30 , 55 8 24 →= 77 39 25 26 , 55 8 58 →= 77 39 25 95 , 55 8 27 →= 77 39 25 28 , 55 8 29 →= 77 39 25 30 , 5 8 24 →= 36 39 25 26 , 5 8 58 →= 36 39 25 95 , 5 8 27 →= 36 39 25 28 , 5 8 29 →= 36 39 25 30 , 57 8 24 →= 78 39 25 26 , 57 8 58 →= 78 39 25 95 , 57 8 27 →= 78 39 25 28 , 57 8 29 →= 78 39 25 30 , 79 8 24 →= 80 39 25 26 , 79 8 58 →= 80 39 25 95 , 79 8 27 →= 80 39 25 28 , 79 8 29 →= 80 39 25 30 , 81 8 24 →= 82 39 25 26 , 81 8 58 →= 82 39 25 95 , 81 8 27 →= 82 39 25 28 , 81 8 29 →= 82 39 25 30 , 24 8 24 →= 29 39 25 26 , 24 8 58 →= 29 39 25 95 , 24 8 27 →= 29 39 25 28 , 24 8 29 →= 29 39 25 30 , 26 8 24 →= 30 39 25 26 , 26 8 58 →= 30 39 25 95 , 26 8 27 →= 30 39 25 28 , 26 8 29 →= 30 39 25 30 , 46 8 24 →= 83 39 25 26 , 46 8 58 →= 83 39 25 95 , 46 8 27 →= 83 39 25 28 , 46 8 29 →= 83 39 25 30 , 84 48 24 →= 67 61 25 26 , 84 48 27 →= 67 61 25 28 , 84 48 29 →= 67 61 25 30 , 60 48 24 →= 62 61 25 26 , 60 48 27 →= 62 61 25 28 , 60 48 29 →= 62 61 25 30 , 85 48 24 →= 68 61 25 26 , 85 48 27 →= 68 61 25 28 , 85 48 29 →= 68 61 25 30 , 86 48 24 →= 87 61 25 26 , 86 48 27 →= 87 61 25 28 , 86 48 29 →= 87 61 25 30 , 88 48 24 →= 69 61 25 26 , 88 48 27 →= 69 61 25 28 , 88 48 29 →= 69 61 25 30 , 89 48 24 →= 70 61 25 26 , 89 48 27 →= 70 61 25 28 , 89 48 29 →= 70 61 25 30 , 90 48 24 →= 91 61 25 26 , 90 48 27 →= 91 61 25 28 , 90 48 29 →= 91 61 25 30 , 35 48 24 →= 40 61 25 26 , 35 48 27 →= 40 61 25 28 , 35 48 29 →= 40 61 25 30 , 37 48 24 →= 41 61 25 26 , 37 48 27 →= 41 61 25 28 , 37 48 29 →= 41 61 25 30 , 92 96 24 →= 93 94 25 26 , 92 96 27 →= 93 94 25 28 , 92 96 29 →= 93 94 25 30 , 1 9 35 →= 34 38 36 37 , 1 9 38 →= 34 38 36 39 , 1 9 40 →= 34 38 36 41 , 1 9 63 →= 34 38 36 97 , 47 9 35 →= 51 38 36 37 , 47 9 38 →= 51 38 36 39 , 47 9 40 →= 51 38 36 41 , 47 9 63 →= 51 38 36 97 , 2 9 35 →= 9 38 36 37 , 2 9 38 →= 9 38 36 39 , 2 9 40 →= 9 38 36 41 , 2 9 63 →= 9 38 36 97 , 6 9 35 →= 10 38 36 37 , 6 9 38 →= 10 38 36 39 , 6 9 40 →= 10 38 36 41 , 6 9 63 →= 10 38 36 97 , 12 9 35 →= 42 38 36 37 , 12 9 38 →= 42 38 36 39 , 12 9 40 →= 42 38 36 41 , 12 9 63 →= 42 38 36 97 , 71 9 35 →= 72 38 36 37 , 71 9 38 →= 72 38 36 39 , 71 9 40 →= 72 38 36 41 , 71 9 63 →= 72 38 36 97 , 16 9 35 →= 43 38 36 37 , 16 9 38 →= 43 38 36 39 , 16 9 40 →= 43 38 36 41 , 16 9 63 →= 43 38 36 97 , 20 9 35 →= 44 38 36 37 , 20 9 38 →= 44 38 36 39 , 20 9 40 →= 44 38 36 41 , 20 9 63 →= 44 38 36 97 , 73 9 35 →= 74 38 36 37 , 73 9 38 →= 74 38 36 39 , 73 9 40 →= 74 38 36 41 , 73 9 63 →= 74 38 36 97 , 53 10 35 →= 75 39 36 37 , 53 10 38 →= 75 39 36 39 , 53 10 40 →= 75 39 36 41 , 53 10 63 →= 75 39 36 97 , 53 10 65 →= 75 39 36 98 , 55 10 35 →= 77 39 36 37 , 55 10 38 →= 77 39 36 39 , 55 10 40 →= 77 39 36 41 , 55 10 63 →= 77 39 36 97 , 55 10 65 →= 77 39 36 98 , 5 10 35 →= 36 39 36 37 , 5 10 38 →= 36 39 36 39 , 5 10 40 →= 36 39 36 41 , 5 10 63 →= 36 39 36 97 , 5 10 65 →= 36 39 36 98 , 57 10 35 →= 78 39 36 37 , 57 10 38 →= 78 39 36 39 , 57 10 40 →= 78 39 36 41 , 57 10 63 →= 78 39 36 97 , 57 10 65 →= 78 39 36 98 , 79 10 35 →= 80 39 36 37 , 79 10 38 →= 80 39 36 39 , 79 10 40 →= 80 39 36 41 , 79 10 63 →= 80 39 36 97 , 79 10 65 →= 80 39 36 98 , 81 10 35 →= 82 39 36 37 , 81 10 38 →= 82 39 36 39 , 81 10 40 →= 82 39 36 41 , 81 10 63 →= 82 39 36 97 , 81 10 65 →= 82 39 36 98 , 24 10 35 →= 29 39 36 37 , 24 10 38 →= 29 39 36 39 , 24 10 40 →= 29 39 36 41 , 24 10 63 →= 29 39 36 97 , 24 10 65 →= 29 39 36 98 , 26 10 35 →= 30 39 36 37 , 26 10 38 →= 30 39 36 39 , 26 10 40 →= 30 39 36 41 , 26 10 63 →= 30 39 36 97 , 26 10 65 →= 30 39 36 98 , 46 10 35 →= 83 39 36 37 , 46 10 38 →= 83 39 36 39 , 46 10 40 →= 83 39 36 41 , 46 10 63 →= 83 39 36 97 , 46 10 65 →= 83 39 36 98 , 84 51 35 →= 67 61 36 37 , 84 51 38 →= 67 61 36 39 , 84 51 40 →= 67 61 36 41 , 84 51 63 →= 67 61 36 97 , 60 51 35 →= 62 61 36 37 , 60 51 38 →= 62 61 36 39 , 60 51 40 →= 62 61 36 41 , 60 51 63 →= 62 61 36 97 , 85 51 35 →= 68 61 36 37 , 85 51 38 →= 68 61 36 39 , 85 51 40 →= 68 61 36 41 , 85 51 63 →= 68 61 36 97 , 86 51 35 →= 87 61 36 37 , 86 51 38 →= 87 61 36 39 , 86 51 40 →= 87 61 36 41 , 86 51 63 →= 87 61 36 97 , 88 51 35 →= 69 61 36 37 , 88 51 38 →= 69 61 36 39 , 88 51 40 →= 69 61 36 41 , 88 51 63 →= 69 61 36 97 , 89 51 35 →= 70 61 36 37 , 89 51 38 →= 70 61 36 39 , 89 51 40 →= 70 61 36 41 , 89 51 63 →= 70 61 36 97 , 90 51 35 →= 91 61 36 37 , 90 51 38 →= 91 61 36 39 , 90 51 40 →= 91 61 36 41 , 90 51 63 →= 91 61 36 97 , 35 51 35 →= 40 61 36 37 , 35 51 38 →= 40 61 36 39 , 35 51 40 →= 40 61 36 41 , 35 51 63 →= 40 61 36 97 , 37 51 35 →= 41 61 36 37 , 37 51 38 →= 41 61 36 39 , 37 51 40 →= 41 61 36 41 , 37 51 63 →= 41 61 36 97 , 92 72 35 →= 93 94 36 37 , 92 72 38 →= 93 94 36 39 , 92 72 40 →= 93 94 36 41 , 23 24 6 2 →= 1 9 35 47 , 23 24 6 7 →= 1 9 35 48 , 23 24 6 49 →= 1 9 35 50 , 23 24 6 9 →= 1 9 35 51 , 48 24 6 2 →= 47 9 35 47 , 48 24 6 7 →= 47 9 35 48 , 48 24 6 49 →= 47 9 35 50 , 48 24 6 9 →= 47 9 35 51 , 7 24 6 2 →= 2 9 35 47 , 7 24 6 7 →= 2 9 35 48 , 7 24 6 49 →= 2 9 35 50 , 7 24 6 9 →= 2 9 35 51 , 8 24 6 2 →= 6 9 35 47 , 8 24 6 7 →= 6 9 35 48 , 8 24 6 49 →= 6 9 35 50 , 8 24 6 9 →= 6 9 35 51 , 31 24 6 2 →= 12 9 35 47 , 31 24 6 7 →= 12 9 35 48 , 31 24 6 49 →= 12 9 35 50 , 31 24 6 9 →= 12 9 35 51 , 96 24 6 2 →= 71 9 35 47 , 96 24 6 7 →= 71 9 35 48 , 96 24 6 49 →= 71 9 35 50 , 96 24 6 9 →= 71 9 35 51 , 32 24 6 2 →= 16 9 35 47 , 32 24 6 7 →= 16 9 35 48 , 32 24 6 49 →= 16 9 35 50 , 32 24 6 9 →= 16 9 35 51 , 33 24 6 2 →= 20 9 35 47 , 33 24 6 7 →= 20 9 35 48 , 33 24 6 49 →= 20 9 35 50 , 33 24 6 9 →= 20 9 35 51 , 99 24 6 2 →= 73 9 35 47 , 99 24 6 7 →= 73 9 35 48 , 99 24 6 49 →= 73 9 35 50 , 99 24 6 9 →= 73 9 35 51 , 100 26 6 2 →= 53 10 35 47 , 100 26 6 7 →= 53 10 35 48 , 100 26 6 49 →= 53 10 35 50 , 100 26 6 9 →= 53 10 35 51 , 101 26 6 2 →= 55 10 35 47 , 101 26 6 7 →= 55 10 35 48 , 101 26 6 49 →= 55 10 35 50 , 101 26 6 9 →= 55 10 35 51 , 25 26 6 2 →= 5 10 35 47 , 25 26 6 7 →= 5 10 35 48 , 25 26 6 49 →= 5 10 35 50 , 25 26 6 9 →= 5 10 35 51 , 102 26 6 2 →= 57 10 35 47 , 102 26 6 7 →= 57 10 35 48 , 102 26 6 49 →= 57 10 35 50 , 102 26 6 9 →= 57 10 35 51 , 103 26 6 2 →= 79 10 35 47 , 103 26 6 7 →= 79 10 35 48 , 103 26 6 49 →= 79 10 35 50 , 103 26 6 9 →= 79 10 35 51 , 104 26 6 2 →= 81 10 35 47 , 104 26 6 7 →= 81 10 35 48 , 104 26 6 49 →= 81 10 35 50 , 104 26 6 9 →= 81 10 35 51 , 27 26 6 2 →= 24 10 35 47 , 27 26 6 7 →= 24 10 35 48 , 27 26 6 49 →= 24 10 35 50 , 27 26 6 9 →= 24 10 35 51 , 28 26 6 2 →= 26 10 35 47 , 28 26 6 7 →= 26 10 35 48 , 28 26 6 49 →= 26 10 35 50 , 28 26 6 9 →= 26 10 35 51 , 105 26 6 2 →= 46 10 35 47 , 105 26 6 7 →= 46 10 35 48 , 105 26 6 49 →= 46 10 35 50 , 105 26 6 9 →= 46 10 35 51 , 4 5 6 2 →= 84 51 35 47 , 4 5 6 7 →= 84 51 35 48 , 4 5 6 49 →= 84 51 35 50 , 4 5 6 9 →= 84 51 35 51 , 61 5 6 2 →= 60 51 35 47 , 61 5 6 7 →= 60 51 35 48 , 61 5 6 49 →= 60 51 35 50 , 61 5 6 9 →= 60 51 35 51 , 14 5 6 2 →= 85 51 35 47 , 14 5 6 7 →= 85 51 35 48 , 14 5 6 49 →= 85 51 35 50 , 14 5 6 9 →= 85 51 35 51 , 94 5 6 2 →= 86 51 35 47 , 94 5 6 7 →= 86 51 35 48 , 94 5 6 49 →= 86 51 35 50 , 94 5 6 9 →= 86 51 35 51 , 18 5 6 2 →= 88 51 35 47 , 18 5 6 7 →= 88 51 35 48 , 18 5 6 49 →= 88 51 35 50 , 18 5 6 9 →= 88 51 35 51 , 22 5 6 2 →= 89 51 35 47 , 22 5 6 7 →= 89 51 35 48 , 22 5 6 49 →= 89 51 35 50 , 22 5 6 9 →= 89 51 35 51 , 106 5 6 2 →= 90 51 35 47 , 106 5 6 7 →= 90 51 35 48 , 106 5 6 49 →= 90 51 35 50 , 106 5 6 9 →= 90 51 35 51 , 38 5 6 2 →= 35 51 35 47 , 38 5 6 7 →= 35 51 35 48 , 38 5 6 49 →= 35 51 35 50 , 38 5 6 9 →= 35 51 35 51 , 39 5 6 2 →= 37 51 35 47 , 39 5 6 7 →= 37 51 35 48 , 39 5 6 49 →= 37 51 35 50 , 39 5 6 9 →= 37 51 35 51 , 107 79 6 2 →= 92 72 35 47 , 107 79 6 7 →= 92 72 35 48 , 107 79 6 49 →= 92 72 35 50 , 107 79 6 9 →= 92 72 35 51 , 23 24 8 24 →= 1 9 38 5 , 23 24 8 58 →= 1 9 38 59 , 23 24 8 27 →= 1 9 38 25 , 23 24 8 29 →= 1 9 38 36 , 48 24 8 24 →= 47 9 38 5 , 48 24 8 58 →= 47 9 38 59 , 48 24 8 27 →= 47 9 38 25 , 48 24 8 29 →= 47 9 38 36 , 7 24 8 24 →= 2 9 38 5 , 7 24 8 58 →= 2 9 38 59 , 7 24 8 27 →= 2 9 38 25 , 7 24 8 29 →= 2 9 38 36 , 8 24 8 24 →= 6 9 38 5 , 8 24 8 58 →= 6 9 38 59 , 8 24 8 27 →= 6 9 38 25 , 8 24 8 29 →= 6 9 38 36 , 31 24 8 24 →= 12 9 38 5 , 31 24 8 58 →= 12 9 38 59 , 31 24 8 27 →= 12 9 38 25 , 31 24 8 29 →= 12 9 38 36 , 96 24 8 24 →= 71 9 38 5 , 96 24 8 58 →= 71 9 38 59 , 96 24 8 27 →= 71 9 38 25 , 96 24 8 29 →= 71 9 38 36 , 32 24 8 24 →= 16 9 38 5 , 32 24 8 58 →= 16 9 38 59 , 32 24 8 27 →= 16 9 38 25 , 32 24 8 29 →= 16 9 38 36 , 33 24 8 24 →= 20 9 38 5 , 33 24 8 58 →= 20 9 38 59 , 33 24 8 27 →= 20 9 38 25 , 33 24 8 29 →= 20 9 38 36 , 99 24 8 24 →= 73 9 38 5 , 99 24 8 58 →= 73 9 38 59 , 99 24 8 27 →= 73 9 38 25 , 99 24 8 29 →= 73 9 38 36 , 100 26 8 24 →= 53 10 38 5 , 100 26 8 58 →= 53 10 38 59 , 100 26 8 27 →= 53 10 38 25 , 100 26 8 29 →= 53 10 38 36 , 101 26 8 24 →= 55 10 38 5 , 101 26 8 58 →= 55 10 38 59 , 101 26 8 27 →= 55 10 38 25 , 101 26 8 29 →= 55 10 38 36 , 25 26 8 24 →= 5 10 38 5 , 25 26 8 58 →= 5 10 38 59 , 25 26 8 27 →= 5 10 38 25 , 25 26 8 29 →= 5 10 38 36 , 102 26 8 24 →= 57 10 38 5 , 102 26 8 58 →= 57 10 38 59 , 102 26 8 27 →= 57 10 38 25 , 102 26 8 29 →= 57 10 38 36 , 103 26 8 24 →= 79 10 38 5 , 103 26 8 58 →= 79 10 38 59 , 103 26 8 27 →= 79 10 38 25 , 103 26 8 29 →= 79 10 38 36 , 104 26 8 24 →= 81 10 38 5 , 104 26 8 58 →= 81 10 38 59 , 104 26 8 27 →= 81 10 38 25 , 104 26 8 29 →= 81 10 38 36 , 27 26 8 24 →= 24 10 38 5 , 27 26 8 58 →= 24 10 38 59 , 27 26 8 27 →= 24 10 38 25 , 27 26 8 29 →= 24 10 38 36 , 28 26 8 24 →= 26 10 38 5 , 28 26 8 58 →= 26 10 38 59 , 28 26 8 27 →= 26 10 38 25 , 28 26 8 29 →= 26 10 38 36 , 105 26 8 24 →= 46 10 38 5 , 105 26 8 58 →= 46 10 38 59 , 105 26 8 27 →= 46 10 38 25 , 105 26 8 29 →= 46 10 38 36 , 4 5 8 24 →= 84 51 38 5 , 4 5 8 58 →= 84 51 38 59 , 4 5 8 27 →= 84 51 38 25 , 4 5 8 29 →= 84 51 38 36 , 61 5 8 24 →= 60 51 38 5 , 61 5 8 58 →= 60 51 38 59 , 61 5 8 27 →= 60 51 38 25 , 61 5 8 29 →= 60 51 38 36 , 14 5 8 24 →= 85 51 38 5 , 14 5 8 58 →= 85 51 38 59 , 14 5 8 27 →= 85 51 38 25 , 14 5 8 29 →= 85 51 38 36 , 94 5 8 24 →= 86 51 38 5 , 94 5 8 58 →= 86 51 38 59 , 94 5 8 27 →= 86 51 38 25 , 94 5 8 29 →= 86 51 38 36 , 18 5 8 24 →= 88 51 38 5 , 18 5 8 58 →= 88 51 38 59 , 18 5 8 27 →= 88 51 38 25 , 18 5 8 29 →= 88 51 38 36 , 22 5 8 24 →= 89 51 38 5 , 22 5 8 58 →= 89 51 38 59 , 22 5 8 27 →= 89 51 38 25 , 22 5 8 29 →= 89 51 38 36 , 106 5 8 24 →= 90 51 38 5 , 106 5 8 58 →= 90 51 38 59 , 106 5 8 27 →= 90 51 38 25 , 106 5 8 29 →= 90 51 38 36 , 38 5 8 24 →= 35 51 38 5 , 38 5 8 58 →= 35 51 38 59 , 38 5 8 27 →= 35 51 38 25 , 38 5 8 29 →= 35 51 38 36 , 39 5 8 24 →= 37 51 38 5 , 39 5 8 58 →= 37 51 38 59 , 39 5 8 27 →= 37 51 38 25 , 39 5 8 29 →= 37 51 38 36 , 107 79 8 24 →= 92 72 38 5 , 107 79 8 58 →= 92 72 38 59 , 107 79 8 27 →= 92 72 38 25 , 107 79 8 29 →= 92 72 38 36 , 23 24 10 35 →= 1 9 40 60 , 23 24 10 38 →= 1 9 40 61 , 23 24 10 40 →= 1 9 40 62 , 23 24 10 63 →= 1 9 40 64 , 23 24 10 65 →= 1 9 40 66 , 48 24 10 35 →= 47 9 40 60 , 48 24 10 38 →= 47 9 40 61 , 48 24 10 40 →= 47 9 40 62 , 48 24 10 63 →= 47 9 40 64 , 48 24 10 65 →= 47 9 40 66 , 7 24 10 35 →= 2 9 40 60 , 7 24 10 38 →= 2 9 40 61 , 7 24 10 40 →= 2 9 40 62 , 7 24 10 63 →= 2 9 40 64 , 7 24 10 65 →= 2 9 40 66 , 8 24 10 35 →= 6 9 40 60 , 8 24 10 38 →= 6 9 40 61 , 8 24 10 40 →= 6 9 40 62 , 8 24 10 63 →= 6 9 40 64 , 8 24 10 65 →= 6 9 40 66 , 31 24 10 35 →= 12 9 40 60 , 31 24 10 38 →= 12 9 40 61 , 31 24 10 40 →= 12 9 40 62 , 31 24 10 63 →= 12 9 40 64 , 31 24 10 65 →= 12 9 40 66 , 96 24 10 35 →= 71 9 40 60 , 96 24 10 38 →= 71 9 40 61 , 96 24 10 40 →= 71 9 40 62 , 96 24 10 63 →= 71 9 40 64 , 96 24 10 65 →= 71 9 40 66 , 32 24 10 35 →= 16 9 40 60 , 32 24 10 38 →= 16 9 40 61 , 32 24 10 40 →= 16 9 40 62 , 32 24 10 63 →= 16 9 40 64 , 32 24 10 65 →= 16 9 40 66 , 33 24 10 35 →= 20 9 40 60 , 33 24 10 38 →= 20 9 40 61 , 33 24 10 40 →= 20 9 40 62 , 33 24 10 63 →= 20 9 40 64 , 33 24 10 65 →= 20 9 40 66 , 99 24 10 35 →= 73 9 40 60 , 99 24 10 38 →= 73 9 40 61 , 99 24 10 40 →= 73 9 40 62 , 99 24 10 63 →= 73 9 40 64 , 99 24 10 65 →= 73 9 40 66 , 100 26 10 35 →= 53 10 40 60 , 100 26 10 38 →= 53 10 40 61 , 100 26 10 40 →= 53 10 40 62 , 100 26 10 63 →= 53 10 40 64 , 100 26 10 65 →= 53 10 40 66 , 101 26 10 35 →= 55 10 40 60 , 101 26 10 38 →= 55 10 40 61 , 101 26 10 40 →= 55 10 40 62 , 101 26 10 63 →= 55 10 40 64 , 101 26 10 65 →= 55 10 40 66 , 25 26 10 35 →= 5 10 40 60 , 25 26 10 38 →= 5 10 40 61 , 25 26 10 40 →= 5 10 40 62 , 25 26 10 63 →= 5 10 40 64 , 25 26 10 65 →= 5 10 40 66 , 102 26 10 35 →= 57 10 40 60 , 102 26 10 38 →= 57 10 40 61 , 102 26 10 40 →= 57 10 40 62 , 102 26 10 63 →= 57 10 40 64 , 102 26 10 65 →= 57 10 40 66 , 103 26 10 35 →= 79 10 40 60 , 103 26 10 38 →= 79 10 40 61 , 103 26 10 40 →= 79 10 40 62 , 103 26 10 63 →= 79 10 40 64 , 103 26 10 65 →= 79 10 40 66 , 104 26 10 35 →= 81 10 40 60 , 104 26 10 38 →= 81 10 40 61 , 104 26 10 40 →= 81 10 40 62 , 104 26 10 63 →= 81 10 40 64 , 104 26 10 65 →= 81 10 40 66 , 27 26 10 35 →= 24 10 40 60 , 27 26 10 38 →= 24 10 40 61 , 27 26 10 40 →= 24 10 40 62 , 27 26 10 63 →= 24 10 40 64 , 27 26 10 65 →= 24 10 40 66 , 28 26 10 35 →= 26 10 40 60 , 28 26 10 38 →= 26 10 40 61 , 28 26 10 40 →= 26 10 40 62 , 28 26 10 63 →= 26 10 40 64 , 28 26 10 65 →= 26 10 40 66 , 105 26 10 35 →= 46 10 40 60 , 105 26 10 38 →= 46 10 40 61 , 105 26 10 40 →= 46 10 40 62 , 105 26 10 63 →= 46 10 40 64 , 105 26 10 65 →= 46 10 40 66 , 4 5 10 35 →= 84 51 40 60 , 4 5 10 38 →= 84 51 40 61 , 4 5 10 40 →= 84 51 40 62 , 4 5 10 63 →= 84 51 40 64 , 4 5 10 65 →= 84 51 40 66 , 61 5 10 35 →= 60 51 40 60 , 61 5 10 38 →= 60 51 40 61 , 61 5 10 40 →= 60 51 40 62 , 61 5 10 63 →= 60 51 40 64 , 61 5 10 65 →= 60 51 40 66 , 14 5 10 35 →= 85 51 40 60 , 14 5 10 38 →= 85 51 40 61 , 14 5 10 40 →= 85 51 40 62 , 14 5 10 63 →= 85 51 40 64 , 14 5 10 65 →= 85 51 40 66 , 94 5 10 35 →= 86 51 40 60 , 94 5 10 38 →= 86 51 40 61 , 94 5 10 40 →= 86 51 40 62 , 94 5 10 63 →= 86 51 40 64 , 94 5 10 65 →= 86 51 40 66 , 18 5 10 35 →= 88 51 40 60 , 18 5 10 38 →= 88 51 40 61 , 18 5 10 40 →= 88 51 40 62 , 18 5 10 63 →= 88 51 40 64 , 18 5 10 65 →= 88 51 40 66 , 22 5 10 35 →= 89 51 40 60 , 22 5 10 38 →= 89 51 40 61 , 22 5 10 40 →= 89 51 40 62 , 22 5 10 63 →= 89 51 40 64 , 22 5 10 65 →= 89 51 40 66 , 106 5 10 35 →= 90 51 40 60 , 106 5 10 38 →= 90 51 40 61 , 106 5 10 40 →= 90 51 40 62 , 106 5 10 63 →= 90 51 40 64 , 106 5 10 65 →= 90 51 40 66 , 38 5 10 35 →= 35 51 40 60 , 38 5 10 38 →= 35 51 40 61 , 38 5 10 40 →= 35 51 40 62 , 38 5 10 63 →= 35 51 40 64 , 38 5 10 65 →= 35 51 40 66 , 39 5 10 35 →= 37 51 40 60 , 39 5 10 38 →= 37 51 40 61 , 39 5 10 40 →= 37 51 40 62 , 39 5 10 63 →= 37 51 40 64 , 39 5 10 65 →= 37 51 40 66 , 107 79 10 35 →= 92 72 40 60 , 107 79 10 38 →= 92 72 40 61 , 107 79 10 40 →= 92 72 40 62 , 107 79 10 63 →= 92 72 40 64 , 107 79 10 65 →= 92 72 40 66 , 23 24 108 109 →= 1 9 63 110 , 48 24 108 109 →= 47 9 63 110 , 7 24 108 109 →= 2 9 63 110 , 8 24 108 109 →= 6 9 63 110 , 31 24 108 109 →= 12 9 63 110 , 96 24 108 109 →= 71 9 63 110 , 32 24 108 109 →= 16 9 63 110 , 33 24 108 109 →= 20 9 63 110 , 99 24 108 109 →= 73 9 63 110 , 100 26 108 109 →= 53 10 63 110 , 101 26 108 109 →= 55 10 63 110 , 25 26 108 109 →= 5 10 63 110 , 102 26 108 109 →= 57 10 63 110 , 103 26 108 109 →= 79 10 63 110 , 104 26 108 109 →= 81 10 63 110 , 27 26 108 109 →= 24 10 63 110 , 28 26 108 109 →= 26 10 63 110 , 105 26 108 109 →= 46 10 63 110 , 4 5 108 109 →= 84 51 63 110 , 61 5 108 109 →= 60 51 63 110 , 14 5 108 109 →= 85 51 63 110 , 94 5 108 109 →= 86 51 63 110 , 18 5 108 109 →= 88 51 63 110 , 22 5 108 109 →= 89 51 63 110 , 106 5 108 109 →= 90 51 63 110 , 38 5 108 109 →= 35 51 63 110 , 39 5 108 109 →= 37 51 63 110 , 34 40 62 60 47 →= 23 24 6 2 , 34 40 62 60 48 →= 23 24 6 7 , 34 40 62 60 50 →= 23 24 6 49 , 34 40 62 60 51 →= 23 24 6 9 , 51 40 62 60 47 →= 48 24 6 2 , 51 40 62 60 48 →= 48 24 6 7 , 51 40 62 60 50 →= 48 24 6 49 , 51 40 62 60 51 →= 48 24 6 9 , 9 40 62 60 47 →= 7 24 6 2 , 9 40 62 60 48 →= 7 24 6 7 , 9 40 62 60 50 →= 7 24 6 49 , 9 40 62 60 51 →= 7 24 6 9 , 10 40 62 60 47 →= 8 24 6 2 , 10 40 62 60 48 →= 8 24 6 7 , 10 40 62 60 50 →= 8 24 6 49 , 10 40 62 60 51 →= 8 24 6 9 , 42 40 62 60 47 →= 31 24 6 2 , 42 40 62 60 48 →= 31 24 6 7 , 42 40 62 60 50 →= 31 24 6 49 , 42 40 62 60 51 →= 31 24 6 9 , 72 40 62 60 47 →= 96 24 6 2 , 72 40 62 60 48 →= 96 24 6 7 , 72 40 62 60 50 →= 96 24 6 49 , 72 40 62 60 51 →= 96 24 6 9 , 43 40 62 60 47 →= 32 24 6 2 , 43 40 62 60 48 →= 32 24 6 7 , 43 40 62 60 50 →= 32 24 6 49 , 43 40 62 60 51 →= 32 24 6 9 , 44 40 62 60 47 →= 33 24 6 2 , 44 40 62 60 48 →= 33 24 6 7 , 44 40 62 60 50 →= 33 24 6 49 , 44 40 62 60 51 →= 33 24 6 9 , 74 40 62 60 47 →= 99 24 6 2 , 74 40 62 60 48 →= 99 24 6 7 , 74 40 62 60 50 →= 99 24 6 49 , 74 40 62 60 51 →= 99 24 6 9 , 75 41 62 60 47 →= 100 26 6 2 , 75 41 62 60 48 →= 100 26 6 7 , 75 41 62 60 50 →= 100 26 6 49 , 75 41 62 60 51 →= 100 26 6 9 , 77 41 62 60 47 →= 101 26 6 2 , 77 41 62 60 48 →= 101 26 6 7 , 77 41 62 60 50 →= 101 26 6 49 , 77 41 62 60 51 →= 101 26 6 9 , 36 41 62 60 47 →= 25 26 6 2 , 36 41 62 60 48 →= 25 26 6 7 , 36 41 62 60 50 →= 25 26 6 49 , 36 41 62 60 51 →= 25 26 6 9 , 78 41 62 60 47 →= 102 26 6 2 , 78 41 62 60 48 →= 102 26 6 7 , 78 41 62 60 50 →= 102 26 6 49 , 78 41 62 60 51 →= 102 26 6 9 , 80 41 62 60 47 →= 103 26 6 2 , 80 41 62 60 48 →= 103 26 6 7 , 80 41 62 60 50 →= 103 26 6 49 , 80 41 62 60 51 →= 103 26 6 9 , 82 41 62 60 47 →= 104 26 6 2 , 82 41 62 60 48 →= 104 26 6 7 , 82 41 62 60 50 →= 104 26 6 49 , 82 41 62 60 51 →= 104 26 6 9 , 29 41 62 60 47 →= 27 26 6 2 , 29 41 62 60 48 →= 27 26 6 7 , 29 41 62 60 50 →= 27 26 6 49 , 29 41 62 60 51 →= 27 26 6 9 , 30 41 62 60 47 →= 28 26 6 2 , 30 41 62 60 48 →= 28 26 6 7 , 30 41 62 60 50 →= 28 26 6 49 , 30 41 62 60 51 →= 28 26 6 9 , 83 41 62 60 47 →= 105 26 6 2 , 83 41 62 60 48 →= 105 26 6 7 , 83 41 62 60 50 →= 105 26 6 49 , 83 41 62 60 51 →= 105 26 6 9 , 67 62 62 60 47 →= 4 5 6 2 , 67 62 62 60 48 →= 4 5 6 7 , 67 62 62 60 50 →= 4 5 6 49 , 67 62 62 60 51 →= 4 5 6 9 , 62 62 62 60 47 →= 61 5 6 2 , 62 62 62 60 48 →= 61 5 6 7 , 62 62 62 60 50 →= 61 5 6 49 , 62 62 62 60 51 →= 61 5 6 9 , 68 62 62 60 47 →= 14 5 6 2 , 68 62 62 60 48 →= 14 5 6 7 , 68 62 62 60 50 →= 14 5 6 49 , 68 62 62 60 51 →= 14 5 6 9 , 87 62 62 60 47 →= 94 5 6 2 , 87 62 62 60 48 →= 94 5 6 7 , 87 62 62 60 50 →= 94 5 6 49 , 87 62 62 60 51 →= 94 5 6 9 , 69 62 62 60 47 →= 18 5 6 2 , 69 62 62 60 48 →= 18 5 6 7 , 69 62 62 60 50 →= 18 5 6 49 , 69 62 62 60 51 →= 18 5 6 9 , 70 62 62 60 47 →= 22 5 6 2 , 70 62 62 60 48 →= 22 5 6 7 , 70 62 62 60 50 →= 22 5 6 49 , 70 62 62 60 51 →= 22 5 6 9 , 91 62 62 60 47 →= 106 5 6 2 , 91 62 62 60 48 →= 106 5 6 7 , 91 62 62 60 50 →= 106 5 6 49 , 91 62 62 60 51 →= 106 5 6 9 , 40 62 62 60 47 →= 38 5 6 2 , 40 62 62 60 48 →= 38 5 6 7 , 40 62 62 60 50 →= 38 5 6 49 , 40 62 62 60 51 →= 38 5 6 9 , 41 62 62 60 47 →= 39 5 6 2 , 41 62 62 60 48 →= 39 5 6 7 , 41 62 62 60 50 →= 39 5 6 49 , 41 62 62 60 51 →= 39 5 6 9 , 93 87 62 60 47 →= 107 79 6 2 , 93 87 62 60 48 →= 107 79 6 7 , 93 87 62 60 50 →= 107 79 6 49 , 93 87 62 60 51 →= 107 79 6 9 , 34 40 62 61 5 →= 23 24 8 24 , 34 40 62 61 59 →= 23 24 8 58 , 34 40 62 61 25 →= 23 24 8 27 , 34 40 62 61 36 →= 23 24 8 29 , 51 40 62 61 5 →= 48 24 8 24 , 51 40 62 61 59 →= 48 24 8 58 , 51 40 62 61 25 →= 48 24 8 27 , 51 40 62 61 36 →= 48 24 8 29 , 9 40 62 61 5 →= 7 24 8 24 , 9 40 62 61 59 →= 7 24 8 58 , 9 40 62 61 25 →= 7 24 8 27 , 9 40 62 61 36 →= 7 24 8 29 , 10 40 62 61 5 →= 8 24 8 24 , 10 40 62 61 59 →= 8 24 8 58 , 10 40 62 61 25 →= 8 24 8 27 , 10 40 62 61 36 →= 8 24 8 29 , 42 40 62 61 5 →= 31 24 8 24 , 42 40 62 61 59 →= 31 24 8 58 , 42 40 62 61 25 →= 31 24 8 27 , 42 40 62 61 36 →= 31 24 8 29 , 72 40 62 61 5 →= 96 24 8 24 , 72 40 62 61 59 →= 96 24 8 58 , 72 40 62 61 25 →= 96 24 8 27 , 72 40 62 61 36 →= 96 24 8 29 , 43 40 62 61 5 →= 32 24 8 24 , 43 40 62 61 59 →= 32 24 8 58 , 43 40 62 61 25 →= 32 24 8 27 , 43 40 62 61 36 →= 32 24 8 29 , 44 40 62 61 5 →= 33 24 8 24 , 44 40 62 61 59 →= 33 24 8 58 , 44 40 62 61 25 →= 33 24 8 27 , 44 40 62 61 36 →= 33 24 8 29 , 74 40 62 61 5 →= 99 24 8 24 , 74 40 62 61 59 →= 99 24 8 58 , 74 40 62 61 25 →= 99 24 8 27 , 74 40 62 61 36 →= 99 24 8 29 , 75 41 62 61 5 →= 100 26 8 24 , 75 41 62 61 59 →= 100 26 8 58 , 75 41 62 61 25 →= 100 26 8 27 , 75 41 62 61 36 →= 100 26 8 29 , 77 41 62 61 5 →= 101 26 8 24 , 77 41 62 61 59 →= 101 26 8 58 , 77 41 62 61 25 →= 101 26 8 27 , 77 41 62 61 36 →= 101 26 8 29 , 36 41 62 61 5 →= 25 26 8 24 , 36 41 62 61 59 →= 25 26 8 58 , 36 41 62 61 25 →= 25 26 8 27 , 36 41 62 61 36 →= 25 26 8 29 , 78 41 62 61 5 →= 102 26 8 24 , 78 41 62 61 59 →= 102 26 8 58 , 78 41 62 61 25 →= 102 26 8 27 , 78 41 62 61 36 →= 102 26 8 29 , 80 41 62 61 5 →= 103 26 8 24 , 80 41 62 61 59 →= 103 26 8 58 , 80 41 62 61 25 →= 103 26 8 27 , 80 41 62 61 36 →= 103 26 8 29 , 82 41 62 61 5 →= 104 26 8 24 , 82 41 62 61 59 →= 104 26 8 58 , 82 41 62 61 25 →= 104 26 8 27 , 82 41 62 61 36 →= 104 26 8 29 , 29 41 62 61 5 →= 27 26 8 24 , 29 41 62 61 59 →= 27 26 8 58 , 29 41 62 61 25 →= 27 26 8 27 , 29 41 62 61 36 →= 27 26 8 29 , 30 41 62 61 5 →= 28 26 8 24 , 30 41 62 61 59 →= 28 26 8 58 , 30 41 62 61 25 →= 28 26 8 27 , 30 41 62 61 36 →= 28 26 8 29 , 83 41 62 61 5 →= 105 26 8 24 , 83 41 62 61 59 →= 105 26 8 58 , 83 41 62 61 25 →= 105 26 8 27 , 83 41 62 61 36 →= 105 26 8 29 , 67 62 62 61 5 →= 4 5 8 24 , 67 62 62 61 59 →= 4 5 8 58 , 67 62 62 61 25 →= 4 5 8 27 , 67 62 62 61 36 →= 4 5 8 29 , 62 62 62 61 5 →= 61 5 8 24 , 62 62 62 61 59 →= 61 5 8 58 , 62 62 62 61 25 →= 61 5 8 27 , 62 62 62 61 36 →= 61 5 8 29 , 68 62 62 61 5 →= 14 5 8 24 , 68 62 62 61 59 →= 14 5 8 58 , 68 62 62 61 25 →= 14 5 8 27 , 68 62 62 61 36 →= 14 5 8 29 , 87 62 62 61 5 →= 94 5 8 24 , 87 62 62 61 59 →= 94 5 8 58 , 87 62 62 61 25 →= 94 5 8 27 , 87 62 62 61 36 →= 94 5 8 29 , 69 62 62 61 5 →= 18 5 8 24 , 69 62 62 61 59 →= 18 5 8 58 , 69 62 62 61 25 →= 18 5 8 27 , 69 62 62 61 36 →= 18 5 8 29 , 70 62 62 61 5 →= 22 5 8 24 , 70 62 62 61 59 →= 22 5 8 58 , 70 62 62 61 25 →= 22 5 8 27 , 70 62 62 61 36 →= 22 5 8 29 , 91 62 62 61 5 →= 106 5 8 24 , 91 62 62 61 59 →= 106 5 8 58 , 91 62 62 61 25 →= 106 5 8 27 , 91 62 62 61 36 →= 106 5 8 29 , 40 62 62 61 5 →= 38 5 8 24 , 40 62 62 61 59 →= 38 5 8 58 , 40 62 62 61 25 →= 38 5 8 27 , 40 62 62 61 36 →= 38 5 8 29 , 41 62 62 61 5 →= 39 5 8 24 , 41 62 62 61 59 →= 39 5 8 58 , 41 62 62 61 25 →= 39 5 8 27 , 41 62 62 61 36 →= 39 5 8 29 , 93 87 62 61 5 →= 107 79 8 24 , 93 87 62 61 59 →= 107 79 8 58 , 93 87 62 61 25 →= 107 79 8 27 , 93 87 62 61 36 →= 107 79 8 29 , 34 40 62 62 60 →= 23 24 10 35 , 34 40 62 62 61 →= 23 24 10 38 , 34 40 62 62 62 →= 23 24 10 40 , 34 40 62 62 64 →= 23 24 10 63 , 34 40 62 62 66 →= 23 24 10 65 , 51 40 62 62 60 →= 48 24 10 35 , 51 40 62 62 61 →= 48 24 10 38 , 51 40 62 62 62 →= 48 24 10 40 , 51 40 62 62 64 →= 48 24 10 63 , 51 40 62 62 66 →= 48 24 10 65 , 9 40 62 62 60 →= 7 24 10 35 , 9 40 62 62 61 →= 7 24 10 38 , 9 40 62 62 62 →= 7 24 10 40 , 9 40 62 62 64 →= 7 24 10 63 , 9 40 62 62 66 →= 7 24 10 65 , 10 40 62 62 60 →= 8 24 10 35 , 10 40 62 62 61 →= 8 24 10 38 , 10 40 62 62 62 →= 8 24 10 40 , 10 40 62 62 64 →= 8 24 10 63 , 10 40 62 62 66 →= 8 24 10 65 , 42 40 62 62 60 →= 31 24 10 35 , 42 40 62 62 61 →= 31 24 10 38 , 42 40 62 62 62 →= 31 24 10 40 , 42 40 62 62 64 →= 31 24 10 63 , 42 40 62 62 66 →= 31 24 10 65 , 72 40 62 62 60 →= 96 24 10 35 , 72 40 62 62 61 →= 96 24 10 38 , 72 40 62 62 62 →= 96 24 10 40 , 72 40 62 62 64 →= 96 24 10 63 , 72 40 62 62 66 →= 96 24 10 65 , 43 40 62 62 60 →= 32 24 10 35 , 43 40 62 62 61 →= 32 24 10 38 , 43 40 62 62 62 →= 32 24 10 40 , 43 40 62 62 64 →= 32 24 10 63 , 43 40 62 62 66 →= 32 24 10 65 , 44 40 62 62 60 →= 33 24 10 35 , 44 40 62 62 61 →= 33 24 10 38 , 44 40 62 62 62 →= 33 24 10 40 , 44 40 62 62 64 →= 33 24 10 63 , 44 40 62 62 66 →= 33 24 10 65 , 74 40 62 62 60 →= 99 24 10 35 , 74 40 62 62 61 →= 99 24 10 38 , 74 40 62 62 62 →= 99 24 10 40 , 74 40 62 62 64 →= 99 24 10 63 , 74 40 62 62 66 →= 99 24 10 65 , 75 41 62 62 60 →= 100 26 10 35 , 75 41 62 62 61 →= 100 26 10 38 , 75 41 62 62 62 →= 100 26 10 40 , 75 41 62 62 64 →= 100 26 10 63 , 75 41 62 62 66 →= 100 26 10 65 , 77 41 62 62 60 →= 101 26 10 35 , 77 41 62 62 61 →= 101 26 10 38 , 77 41 62 62 62 →= 101 26 10 40 , 77 41 62 62 64 →= 101 26 10 63 , 77 41 62 62 66 →= 101 26 10 65 , 36 41 62 62 60 →= 25 26 10 35 , 36 41 62 62 61 →= 25 26 10 38 , 36 41 62 62 62 →= 25 26 10 40 , 36 41 62 62 64 →= 25 26 10 63 , 36 41 62 62 66 →= 25 26 10 65 , 78 41 62 62 60 →= 102 26 10 35 , 78 41 62 62 61 →= 102 26 10 38 , 78 41 62 62 62 →= 102 26 10 40 , 78 41 62 62 64 →= 102 26 10 63 , 78 41 62 62 66 →= 102 26 10 65 , 80 41 62 62 60 →= 103 26 10 35 , 80 41 62 62 61 →= 103 26 10 38 , 80 41 62 62 62 →= 103 26 10 40 , 80 41 62 62 64 →= 103 26 10 63 , 80 41 62 62 66 →= 103 26 10 65 , 82 41 62 62 60 →= 104 26 10 35 , 82 41 62 62 61 →= 104 26 10 38 , 82 41 62 62 62 →= 104 26 10 40 , 82 41 62 62 64 →= 104 26 10 63 , 82 41 62 62 66 →= 104 26 10 65 , 29 41 62 62 60 →= 27 26 10 35 , 29 41 62 62 61 →= 27 26 10 38 , 29 41 62 62 62 →= 27 26 10 40 , 29 41 62 62 64 →= 27 26 10 63 , 29 41 62 62 66 →= 27 26 10 65 , 30 41 62 62 60 →= 28 26 10 35 , 30 41 62 62 61 →= 28 26 10 38 , 30 41 62 62 62 →= 28 26 10 40 , 30 41 62 62 64 →= 28 26 10 63 , 30 41 62 62 66 →= 28 26 10 65 , 83 41 62 62 60 →= 105 26 10 35 , 83 41 62 62 61 →= 105 26 10 38 , 83 41 62 62 62 →= 105 26 10 40 , 83 41 62 62 64 →= 105 26 10 63 , 83 41 62 62 66 →= 105 26 10 65 , 67 62 62 62 60 →= 4 5 10 35 , 67 62 62 62 61 →= 4 5 10 38 , 67 62 62 62 62 →= 4 5 10 40 , 67 62 62 62 64 →= 4 5 10 63 , 67 62 62 62 66 →= 4 5 10 65 , 62 62 62 62 60 →= 61 5 10 35 , 62 62 62 62 61 →= 61 5 10 38 , 62 62 62 62 62 →= 61 5 10 40 , 62 62 62 62 64 →= 61 5 10 63 , 62 62 62 62 66 →= 61 5 10 65 , 68 62 62 62 60 →= 14 5 10 35 , 68 62 62 62 61 →= 14 5 10 38 , 68 62 62 62 62 →= 14 5 10 40 , 68 62 62 62 64 →= 14 5 10 63 , 68 62 62 62 66 →= 14 5 10 65 , 87 62 62 62 60 →= 94 5 10 35 , 87 62 62 62 61 →= 94 5 10 38 , 87 62 62 62 62 →= 94 5 10 40 , 87 62 62 62 64 →= 94 5 10 63 , 87 62 62 62 66 →= 94 5 10 65 , 69 62 62 62 60 →= 18 5 10 35 , 69 62 62 62 61 →= 18 5 10 38 , 69 62 62 62 62 →= 18 5 10 40 , 69 62 62 62 64 →= 18 5 10 63 , 69 62 62 62 66 →= 18 5 10 65 , 70 62 62 62 60 →= 22 5 10 35 , 70 62 62 62 61 →= 22 5 10 38 , 70 62 62 62 62 →= 22 5 10 40 , 70 62 62 62 64 →= 22 5 10 63 , 70 62 62 62 66 →= 22 5 10 65 , 91 62 62 62 60 →= 106 5 10 35 , 91 62 62 62 61 →= 106 5 10 38 , 91 62 62 62 62 →= 106 5 10 40 , 91 62 62 62 64 →= 106 5 10 63 , 91 62 62 62 66 →= 106 5 10 65 , 40 62 62 62 60 →= 38 5 10 35 , 40 62 62 62 61 →= 38 5 10 38 , 40 62 62 62 62 →= 38 5 10 40 , 40 62 62 62 64 →= 38 5 10 63 , 40 62 62 62 66 →= 38 5 10 65 , 41 62 62 62 60 →= 39 5 10 35 , 41 62 62 62 61 →= 39 5 10 38 , 41 62 62 62 62 →= 39 5 10 40 , 41 62 62 62 64 →= 39 5 10 63 , 41 62 62 62 66 →= 39 5 10 65 , 93 87 62 62 60 →= 107 79 10 35 , 93 87 62 62 61 →= 107 79 10 38 , 93 87 62 62 62 →= 107 79 10 40 , 93 87 62 62 64 →= 107 79 10 63 , 93 87 62 62 66 →= 107 79 10 65 , 34 40 62 64 110 →= 23 24 108 109 , 51 40 62 64 110 →= 48 24 108 109 , 9 40 62 64 110 →= 7 24 108 109 , 10 40 62 64 110 →= 8 24 108 109 , 42 40 62 64 110 →= 31 24 108 109 , 72 40 62 64 110 →= 96 24 108 109 , 43 40 62 64 110 →= 32 24 108 109 , 44 40 62 64 110 →= 33 24 108 109 , 74 40 62 64 110 →= 99 24 108 109 , 75 41 62 64 110 →= 100 26 108 109 , 77 41 62 64 110 →= 101 26 108 109 , 36 41 62 64 110 →= 25 26 108 109 , 78 41 62 64 110 →= 102 26 108 109 , 80 41 62 64 110 →= 103 26 108 109 , 82 41 62 64 110 →= 104 26 108 109 , 29 41 62 64 110 →= 27 26 108 109 , 30 41 62 64 110 →= 28 26 108 109 , 83 41 62 64 110 →= 105 26 108 109 , 67 62 62 64 110 →= 4 5 108 109 , 62 62 62 64 110 →= 61 5 108 109 , 68 62 62 64 110 →= 14 5 108 109 , 87 62 62 64 110 →= 94 5 108 109 , 69 62 62 64 110 →= 18 5 108 109 , 70 62 62 64 110 →= 22 5 108 109 , 91 62 62 64 110 →= 106 5 108 109 , 40 62 62 64 110 →= 38 5 108 109 , 41 62 62 64 110 →= 39 5 108 109 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 ↦ ⎛ ⎞ ⎜ 1 4 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 8 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 5 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 6 ↦ ⎛ ⎞ ⎜ 1 2 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 7 ↦ ⎛ ⎞ ⎜ 1 7 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 8 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 9 ↦ ⎛ ⎞ ⎜ 1 6 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 10 ↦ ⎛ ⎞ ⎜ 1 8 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 11 ↦ ⎛ ⎞ ⎜ 1 3 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 12 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 13 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 14 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 15 ↦ ⎛ ⎞ ⎜ 1 3 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 16 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 17 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 18 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 19 ↦ ⎛ ⎞ ⎜ 1 3 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 20 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 21 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 22 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 23 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 24 ↦ ⎛ ⎞ ⎜ 1 3 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 25 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 26 ↦ ⎛ ⎞ ⎜ 1 4 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 27 ↦ ⎛ ⎞ ⎜ 1 3 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 28 ↦ ⎛ ⎞ ⎜ 1 4 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 29 ↦ ⎛ ⎞ ⎜ 1 3 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 30 ↦ ⎛ ⎞ ⎜ 1 4 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 31 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 32 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 33 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 34 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 35 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 36 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 37 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 38 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 39 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 40 ↦ ⎛ ⎞ ⎜ 1 4 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 41 ↦ ⎛ ⎞ ⎜ 1 4 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 42 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 43 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 44 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 45 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 46 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 47 ↦ ⎛ ⎞ ⎜ 1 5 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 48 ↦ ⎛ ⎞ ⎜ 1 4 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 49 ↦ ⎛ ⎞ ⎜ 1 3 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 50 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 51 ↦ ⎛ ⎞ ⎜ 1 3 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 52 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 53 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 54 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 55 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 56 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 57 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 58 ↦ ⎛ ⎞ ⎜ 1 3 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 59 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 60 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 61 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 62 ↦ ⎛ ⎞ ⎜ 1 4 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 63 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 64 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 65 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 66 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 67 ↦ ⎛ ⎞ ⎜ 1 2 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 68 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 69 ↦ ⎛ ⎞ ⎜ 1 2 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 70 ↦ ⎛ ⎞ ⎜ 1 2 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 71 ↦ ⎛ ⎞ ⎜ 1 3 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 72 ↦ ⎛ ⎞ ⎜ 1 3 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 73 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 74 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 75 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 76 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 77 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 78 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 79 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 80 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 81 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 82 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 83 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 84 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 85 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 86 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 87 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 88 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 89 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 90 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 91 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 92 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 93 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 94 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 95 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 96 ↦ ⎛ ⎞ ⎜ 1 3 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 97 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 98 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 99 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 100 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 101 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 102 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 103 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 104 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 105 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 106 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 107 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 108 ↦ ⎛ ⎞ ⎜ 1 5 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 109 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 110 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ After renaming modulo the bijection { 6 ↦ 0, 2 ↦ 1, 9 ↦ 2, 10 ↦ 3, 38 ↦ 4, 5 ↦ 5, 53 ↦ 6, 75 ↦ 7, 39 ↦ 8, 55 ↦ 9, 77 ↦ 10, 36 ↦ 11, 57 ↦ 12, 78 ↦ 13, 79 ↦ 14, 80 ↦ 15, 81 ↦ 16, 82 ↦ 17, 24 ↦ 18, 29 ↦ 19, 26 ↦ 20, 30 ↦ 21, 46 ↦ 22, 83 ↦ 23, 60 ↦ 24, 47 ↦ 25, 62 ↦ 26, 61 ↦ 27, 35 ↦ 28, 40 ↦ 29, 37 ↦ 30, 41 ↦ 31, 7 ↦ 32, 25 ↦ 33, 27 ↦ 34, 28 ↦ 35, 8 ↦ 36, 48 ↦ 37, 51 ↦ 38, 49 ↦ 39, 50 ↦ 40, 100 ↦ 41, 101 ↦ 42, 102 ↦ 43, 103 ↦ 44, 104 ↦ 45, 105 ↦ 46, 58 ↦ 47, 59 ↦ 48, 63 ↦ 49, 64 ↦ 50, 65 ↦ 51, 66 ↦ 52, 108 ↦ 53, 109 ↦ 54, 110 ↦ 55 }, it remains to prove termination of the 428-rule system { 0 1 2 →= 3 4 5 3 , 6 0 2 →= 7 8 5 3 , 9 0 2 →= 10 8 5 3 , 5 0 2 →= 11 8 5 3 , 12 0 2 →= 13 8 5 3 , 14 0 2 →= 15 8 5 3 , 16 0 2 →= 17 8 5 3 , 18 0 2 →= 19 8 5 3 , 20 0 2 →= 21 8 5 3 , 22 0 2 →= 23 8 5 3 , 24 25 2 →= 26 27 5 3 , 28 25 2 →= 29 27 5 3 , 30 25 2 →= 31 27 5 3 , 0 32 18 →= 3 4 33 20 , 0 32 34 →= 3 4 33 35 , 0 32 19 →= 3 4 33 21 , 6 36 18 →= 7 8 33 20 , 6 36 34 →= 7 8 33 35 , 6 36 19 →= 7 8 33 21 , 9 36 18 →= 10 8 33 20 , 9 36 34 →= 10 8 33 35 , 9 36 19 →= 10 8 33 21 , 5 36 18 →= 11 8 33 20 , 5 36 34 →= 11 8 33 35 , 5 36 19 →= 11 8 33 21 , 12 36 18 →= 13 8 33 20 , 12 36 34 →= 13 8 33 35 , 12 36 19 →= 13 8 33 21 , 14 36 18 →= 15 8 33 20 , 14 36 34 →= 15 8 33 35 , 14 36 19 →= 15 8 33 21 , 16 36 18 →= 17 8 33 20 , 16 36 34 →= 17 8 33 35 , 16 36 19 →= 17 8 33 21 , 18 36 18 →= 19 8 33 20 , 18 36 34 →= 19 8 33 35 , 18 36 19 →= 19 8 33 21 , 20 36 18 →= 21 8 33 20 , 20 36 34 →= 21 8 33 35 , 20 36 19 →= 21 8 33 21 , 22 36 18 →= 23 8 33 20 , 22 36 34 →= 23 8 33 35 , 22 36 19 →= 23 8 33 21 , 24 37 18 →= 26 27 33 20 , 24 37 34 →= 26 27 33 35 , 24 37 19 →= 26 27 33 21 , 28 37 18 →= 29 27 33 20 , 28 37 34 →= 29 27 33 35 , 28 37 19 →= 29 27 33 21 , 30 37 18 →= 31 27 33 20 , 30 37 34 →= 31 27 33 35 , 30 37 19 →= 31 27 33 21 , 0 2 28 →= 3 4 11 30 , 0 2 4 →= 3 4 11 8 , 0 2 29 →= 3 4 11 31 , 24 38 28 →= 26 27 11 30 , 24 38 4 →= 26 27 11 8 , 24 38 29 →= 26 27 11 31 , 28 38 28 →= 29 27 11 30 , 28 38 4 →= 29 27 11 8 , 28 38 29 →= 29 27 11 31 , 30 38 28 →= 31 27 11 30 , 30 38 4 →= 31 27 11 8 , 30 38 29 →= 31 27 11 31 , 37 18 0 1 →= 25 2 28 25 , 37 18 0 32 →= 25 2 28 37 , 37 18 0 39 →= 25 2 28 40 , 37 18 0 2 →= 25 2 28 38 , 32 18 0 1 →= 1 2 28 25 , 32 18 0 32 →= 1 2 28 37 , 32 18 0 39 →= 1 2 28 40 , 32 18 0 2 →= 1 2 28 38 , 36 18 0 1 →= 0 2 28 25 , 36 18 0 32 →= 0 2 28 37 , 36 18 0 39 →= 0 2 28 40 , 36 18 0 2 →= 0 2 28 38 , 41 20 0 1 →= 6 3 28 25 , 41 20 0 32 →= 6 3 28 37 , 41 20 0 39 →= 6 3 28 40 , 41 20 0 2 →= 6 3 28 38 , 42 20 0 1 →= 9 3 28 25 , 42 20 0 32 →= 9 3 28 37 , 42 20 0 39 →= 9 3 28 40 , 42 20 0 2 →= 9 3 28 38 , 33 20 0 1 →= 5 3 28 25 , 33 20 0 32 →= 5 3 28 37 , 33 20 0 39 →= 5 3 28 40 , 33 20 0 2 →= 5 3 28 38 , 43 20 0 1 →= 12 3 28 25 , 43 20 0 32 →= 12 3 28 37 , 43 20 0 39 →= 12 3 28 40 , 43 20 0 2 →= 12 3 28 38 , 44 20 0 1 →= 14 3 28 25 , 44 20 0 32 →= 14 3 28 37 , 44 20 0 39 →= 14 3 28 40 , 44 20 0 2 →= 14 3 28 38 , 45 20 0 1 →= 16 3 28 25 , 45 20 0 32 →= 16 3 28 37 , 45 20 0 39 →= 16 3 28 40 , 45 20 0 2 →= 16 3 28 38 , 34 20 0 1 →= 18 3 28 25 , 34 20 0 32 →= 18 3 28 37 , 34 20 0 39 →= 18 3 28 40 , 34 20 0 2 →= 18 3 28 38 , 35 20 0 1 →= 20 3 28 25 , 35 20 0 32 →= 20 3 28 37 , 35 20 0 39 →= 20 3 28 40 , 35 20 0 2 →= 20 3 28 38 , 46 20 0 1 →= 22 3 28 25 , 46 20 0 32 →= 22 3 28 37 , 46 20 0 39 →= 22 3 28 40 , 46 20 0 2 →= 22 3 28 38 , 27 5 0 1 →= 24 38 28 25 , 27 5 0 32 →= 24 38 28 37 , 27 5 0 39 →= 24 38 28 40 , 27 5 0 2 →= 24 38 28 38 , 4 5 0 1 →= 28 38 28 25 , 4 5 0 32 →= 28 38 28 37 , 4 5 0 39 →= 28 38 28 40 , 4 5 0 2 →= 28 38 28 38 , 8 5 0 1 →= 30 38 28 25 , 8 5 0 32 →= 30 38 28 37 , 8 5 0 39 →= 30 38 28 40 , 8 5 0 2 →= 30 38 28 38 , 37 18 36 18 →= 25 2 4 5 , 37 18 36 47 →= 25 2 4 48 , 37 18 36 34 →= 25 2 4 33 , 37 18 36 19 →= 25 2 4 11 , 32 18 36 18 →= 1 2 4 5 , 32 18 36 47 →= 1 2 4 48 , 32 18 36 34 →= 1 2 4 33 , 32 18 36 19 →= 1 2 4 11 , 36 18 36 18 →= 0 2 4 5 , 36 18 36 47 →= 0 2 4 48 , 36 18 36 34 →= 0 2 4 33 , 36 18 36 19 →= 0 2 4 11 , 41 20 36 18 →= 6 3 4 5 , 41 20 36 47 →= 6 3 4 48 , 41 20 36 34 →= 6 3 4 33 , 41 20 36 19 →= 6 3 4 11 , 42 20 36 18 →= 9 3 4 5 , 42 20 36 47 →= 9 3 4 48 , 42 20 36 34 →= 9 3 4 33 , 42 20 36 19 →= 9 3 4 11 , 33 20 36 18 →= 5 3 4 5 , 33 20 36 47 →= 5 3 4 48 , 33 20 36 34 →= 5 3 4 33 , 33 20 36 19 →= 5 3 4 11 , 43 20 36 18 →= 12 3 4 5 , 43 20 36 47 →= 12 3 4 48 , 43 20 36 34 →= 12 3 4 33 , 43 20 36 19 →= 12 3 4 11 , 44 20 36 18 →= 14 3 4 5 , 44 20 36 47 →= 14 3 4 48 , 44 20 36 34 →= 14 3 4 33 , 44 20 36 19 →= 14 3 4 11 , 45 20 36 18 →= 16 3 4 5 , 45 20 36 47 →= 16 3 4 48 , 45 20 36 34 →= 16 3 4 33 , 45 20 36 19 →= 16 3 4 11 , 34 20 36 18 →= 18 3 4 5 , 34 20 36 47 →= 18 3 4 48 , 34 20 36 34 →= 18 3 4 33 , 34 20 36 19 →= 18 3 4 11 , 35 20 36 18 →= 20 3 4 5 , 35 20 36 47 →= 20 3 4 48 , 35 20 36 34 →= 20 3 4 33 , 35 20 36 19 →= 20 3 4 11 , 46 20 36 18 →= 22 3 4 5 , 46 20 36 47 →= 22 3 4 48 , 46 20 36 34 →= 22 3 4 33 , 46 20 36 19 →= 22 3 4 11 , 27 5 36 18 →= 24 38 4 5 , 27 5 36 47 →= 24 38 4 48 , 27 5 36 34 →= 24 38 4 33 , 27 5 36 19 →= 24 38 4 11 , 4 5 36 18 →= 28 38 4 5 , 4 5 36 47 →= 28 38 4 48 , 4 5 36 34 →= 28 38 4 33 , 4 5 36 19 →= 28 38 4 11 , 8 5 36 18 →= 30 38 4 5 , 8 5 36 47 →= 30 38 4 48 , 8 5 36 34 →= 30 38 4 33 , 8 5 36 19 →= 30 38 4 11 , 37 18 3 28 →= 25 2 29 24 , 37 18 3 4 →= 25 2 29 27 , 37 18 3 29 →= 25 2 29 26 , 37 18 3 49 →= 25 2 29 50 , 37 18 3 51 →= 25 2 29 52 , 32 18 3 28 →= 1 2 29 24 , 32 18 3 4 →= 1 2 29 27 , 32 18 3 29 →= 1 2 29 26 , 32 18 3 49 →= 1 2 29 50 , 32 18 3 51 →= 1 2 29 52 , 36 18 3 28 →= 0 2 29 24 , 36 18 3 4 →= 0 2 29 27 , 36 18 3 29 →= 0 2 29 26 , 36 18 3 49 →= 0 2 29 50 , 36 18 3 51 →= 0 2 29 52 , 41 20 3 28 →= 6 3 29 24 , 41 20 3 4 →= 6 3 29 27 , 41 20 3 29 →= 6 3 29 26 , 41 20 3 49 →= 6 3 29 50 , 41 20 3 51 →= 6 3 29 52 , 42 20 3 28 →= 9 3 29 24 , 42 20 3 4 →= 9 3 29 27 , 42 20 3 29 →= 9 3 29 26 , 42 20 3 49 →= 9 3 29 50 , 42 20 3 51 →= 9 3 29 52 , 33 20 3 28 →= 5 3 29 24 , 33 20 3 4 →= 5 3 29 27 , 33 20 3 29 →= 5 3 29 26 , 33 20 3 49 →= 5 3 29 50 , 33 20 3 51 →= 5 3 29 52 , 43 20 3 28 →= 12 3 29 24 , 43 20 3 4 →= 12 3 29 27 , 43 20 3 29 →= 12 3 29 26 , 43 20 3 49 →= 12 3 29 50 , 43 20 3 51 →= 12 3 29 52 , 44 20 3 28 →= 14 3 29 24 , 44 20 3 4 →= 14 3 29 27 , 44 20 3 29 →= 14 3 29 26 , 44 20 3 49 →= 14 3 29 50 , 44 20 3 51 →= 14 3 29 52 , 45 20 3 28 →= 16 3 29 24 , 45 20 3 4 →= 16 3 29 27 , 45 20 3 29 →= 16 3 29 26 , 45 20 3 49 →= 16 3 29 50 , 45 20 3 51 →= 16 3 29 52 , 34 20 3 28 →= 18 3 29 24 , 34 20 3 4 →= 18 3 29 27 , 34 20 3 29 →= 18 3 29 26 , 34 20 3 49 →= 18 3 29 50 , 34 20 3 51 →= 18 3 29 52 , 35 20 3 28 →= 20 3 29 24 , 35 20 3 4 →= 20 3 29 27 , 35 20 3 29 →= 20 3 29 26 , 35 20 3 49 →= 20 3 29 50 , 35 20 3 51 →= 20 3 29 52 , 46 20 3 28 →= 22 3 29 24 , 46 20 3 4 →= 22 3 29 27 , 46 20 3 29 →= 22 3 29 26 , 46 20 3 49 →= 22 3 29 50 , 46 20 3 51 →= 22 3 29 52 , 27 5 3 28 →= 24 38 29 24 , 27 5 3 4 →= 24 38 29 27 , 27 5 3 29 →= 24 38 29 26 , 27 5 3 49 →= 24 38 29 50 , 27 5 3 51 →= 24 38 29 52 , 4 5 3 28 →= 28 38 29 24 , 4 5 3 4 →= 28 38 29 27 , 4 5 3 29 →= 28 38 29 26 , 4 5 3 49 →= 28 38 29 50 , 4 5 3 51 →= 28 38 29 52 , 8 5 3 28 →= 30 38 29 24 , 8 5 3 4 →= 30 38 29 27 , 8 5 3 29 →= 30 38 29 26 , 8 5 3 49 →= 30 38 29 50 , 8 5 3 51 →= 30 38 29 52 , 37 18 53 54 →= 25 2 49 55 , 32 18 53 54 →= 1 2 49 55 , 36 18 53 54 →= 0 2 49 55 , 41 20 53 54 →= 6 3 49 55 , 42 20 53 54 →= 9 3 49 55 , 33 20 53 54 →= 5 3 49 55 , 43 20 53 54 →= 12 3 49 55 , 44 20 53 54 →= 14 3 49 55 , 45 20 53 54 →= 16 3 49 55 , 34 20 53 54 →= 18 3 49 55 , 35 20 53 54 →= 20 3 49 55 , 46 20 53 54 →= 22 3 49 55 , 27 5 53 54 →= 24 38 49 55 , 4 5 53 54 →= 28 38 49 55 , 8 5 53 54 →= 30 38 49 55 , 38 29 26 24 25 →= 37 18 0 1 , 38 29 26 24 37 →= 37 18 0 32 , 38 29 26 24 40 →= 37 18 0 39 , 38 29 26 24 38 →= 37 18 0 2 , 2 29 26 24 25 →= 32 18 0 1 , 2 29 26 24 37 →= 32 18 0 32 , 2 29 26 24 40 →= 32 18 0 39 , 2 29 26 24 38 →= 32 18 0 2 , 7 31 26 24 25 →= 41 20 0 1 , 7 31 26 24 37 →= 41 20 0 32 , 7 31 26 24 40 →= 41 20 0 39 , 7 31 26 24 38 →= 41 20 0 2 , 10 31 26 24 25 →= 42 20 0 1 , 10 31 26 24 37 →= 42 20 0 32 , 10 31 26 24 40 →= 42 20 0 39 , 10 31 26 24 38 →= 42 20 0 2 , 11 31 26 24 25 →= 33 20 0 1 , 11 31 26 24 37 →= 33 20 0 32 , 11 31 26 24 40 →= 33 20 0 39 , 11 31 26 24 38 →= 33 20 0 2 , 13 31 26 24 25 →= 43 20 0 1 , 13 31 26 24 37 →= 43 20 0 32 , 13 31 26 24 40 →= 43 20 0 39 , 13 31 26 24 38 →= 43 20 0 2 , 15 31 26 24 25 →= 44 20 0 1 , 15 31 26 24 37 →= 44 20 0 32 , 15 31 26 24 40 →= 44 20 0 39 , 15 31 26 24 38 →= 44 20 0 2 , 17 31 26 24 25 →= 45 20 0 1 , 17 31 26 24 37 →= 45 20 0 32 , 17 31 26 24 40 →= 45 20 0 39 , 17 31 26 24 38 →= 45 20 0 2 , 19 31 26 24 25 →= 34 20 0 1 , 19 31 26 24 37 →= 34 20 0 32 , 19 31 26 24 40 →= 34 20 0 39 , 19 31 26 24 38 →= 34 20 0 2 , 21 31 26 24 25 →= 35 20 0 1 , 21 31 26 24 37 →= 35 20 0 32 , 21 31 26 24 40 →= 35 20 0 39 , 21 31 26 24 38 →= 35 20 0 2 , 23 31 26 24 25 →= 46 20 0 1 , 23 31 26 24 37 →= 46 20 0 32 , 23 31 26 24 40 →= 46 20 0 39 , 23 31 26 24 38 →= 46 20 0 2 , 38 29 26 27 5 →= 37 18 36 18 , 38 29 26 27 48 →= 37 18 36 47 , 38 29 26 27 33 →= 37 18 36 34 , 38 29 26 27 11 →= 37 18 36 19 , 2 29 26 27 5 →= 32 18 36 18 , 2 29 26 27 48 →= 32 18 36 47 , 2 29 26 27 33 →= 32 18 36 34 , 2 29 26 27 11 →= 32 18 36 19 , 7 31 26 27 5 →= 41 20 36 18 , 7 31 26 27 48 →= 41 20 36 47 , 7 31 26 27 33 →= 41 20 36 34 , 7 31 26 27 11 →= 41 20 36 19 , 10 31 26 27 5 →= 42 20 36 18 , 10 31 26 27 48 →= 42 20 36 47 , 10 31 26 27 33 →= 42 20 36 34 , 10 31 26 27 11 →= 42 20 36 19 , 11 31 26 27 5 →= 33 20 36 18 , 11 31 26 27 48 →= 33 20 36 47 , 11 31 26 27 33 →= 33 20 36 34 , 11 31 26 27 11 →= 33 20 36 19 , 13 31 26 27 5 →= 43 20 36 18 , 13 31 26 27 48 →= 43 20 36 47 , 13 31 26 27 33 →= 43 20 36 34 , 13 31 26 27 11 →= 43 20 36 19 , 15 31 26 27 5 →= 44 20 36 18 , 15 31 26 27 48 →= 44 20 36 47 , 15 31 26 27 33 →= 44 20 36 34 , 15 31 26 27 11 →= 44 20 36 19 , 17 31 26 27 5 →= 45 20 36 18 , 17 31 26 27 48 →= 45 20 36 47 , 17 31 26 27 33 →= 45 20 36 34 , 17 31 26 27 11 →= 45 20 36 19 , 19 31 26 27 5 →= 34 20 36 18 , 19 31 26 27 48 →= 34 20 36 47 , 19 31 26 27 33 →= 34 20 36 34 , 19 31 26 27 11 →= 34 20 36 19 , 21 31 26 27 5 →= 35 20 36 18 , 21 31 26 27 48 →= 35 20 36 47 , 21 31 26 27 33 →= 35 20 36 34 , 21 31 26 27 11 →= 35 20 36 19 , 23 31 26 27 5 →= 46 20 36 18 , 23 31 26 27 48 →= 46 20 36 47 , 23 31 26 27 33 →= 46 20 36 34 , 23 31 26 27 11 →= 46 20 36 19 , 38 29 26 26 24 →= 37 18 3 28 , 38 29 26 26 27 →= 37 18 3 4 , 38 29 26 26 26 →= 37 18 3 29 , 38 29 26 26 50 →= 37 18 3 49 , 38 29 26 26 52 →= 37 18 3 51 , 2 29 26 26 24 →= 32 18 3 28 , 2 29 26 26 27 →= 32 18 3 4 , 2 29 26 26 26 →= 32 18 3 29 , 2 29 26 26 50 →= 32 18 3 49 , 2 29 26 26 52 →= 32 18 3 51 , 7 31 26 26 24 →= 41 20 3 28 , 7 31 26 26 27 →= 41 20 3 4 , 7 31 26 26 26 →= 41 20 3 29 , 7 31 26 26 50 →= 41 20 3 49 , 7 31 26 26 52 →= 41 20 3 51 , 10 31 26 26 24 →= 42 20 3 28 , 10 31 26 26 27 →= 42 20 3 4 , 10 31 26 26 26 →= 42 20 3 29 , 10 31 26 26 50 →= 42 20 3 49 , 10 31 26 26 52 →= 42 20 3 51 , 11 31 26 26 24 →= 33 20 3 28 , 11 31 26 26 27 →= 33 20 3 4 , 11 31 26 26 26 →= 33 20 3 29 , 11 31 26 26 50 →= 33 20 3 49 , 11 31 26 26 52 →= 33 20 3 51 , 13 31 26 26 24 →= 43 20 3 28 , 13 31 26 26 27 →= 43 20 3 4 , 13 31 26 26 26 →= 43 20 3 29 , 13 31 26 26 50 →= 43 20 3 49 , 13 31 26 26 52 →= 43 20 3 51 , 15 31 26 26 24 →= 44 20 3 28 , 15 31 26 26 27 →= 44 20 3 4 , 15 31 26 26 26 →= 44 20 3 29 , 15 31 26 26 50 →= 44 20 3 49 , 15 31 26 26 52 →= 44 20 3 51 , 17 31 26 26 24 →= 45 20 3 28 , 17 31 26 26 27 →= 45 20 3 4 , 17 31 26 26 26 →= 45 20 3 29 , 17 31 26 26 50 →= 45 20 3 49 , 17 31 26 26 52 →= 45 20 3 51 , 19 31 26 26 24 →= 34 20 3 28 , 19 31 26 26 27 →= 34 20 3 4 , 19 31 26 26 26 →= 34 20 3 29 , 19 31 26 26 50 →= 34 20 3 49 , 19 31 26 26 52 →= 34 20 3 51 , 21 31 26 26 24 →= 35 20 3 28 , 21 31 26 26 27 →= 35 20 3 4 , 21 31 26 26 26 →= 35 20 3 29 , 21 31 26 26 50 →= 35 20 3 49 , 21 31 26 26 52 →= 35 20 3 51 , 23 31 26 26 24 →= 46 20 3 28 , 23 31 26 26 27 →= 46 20 3 4 , 23 31 26 26 26 →= 46 20 3 29 , 23 31 26 26 50 →= 46 20 3 49 , 23 31 26 26 52 →= 46 20 3 51 , 38 29 26 50 55 →= 37 18 53 54 , 2 29 26 50 55 →= 32 18 53 54 , 7 31 26 50 55 →= 41 20 53 54 , 10 31 26 50 55 →= 42 20 53 54 , 11 31 26 50 55 →= 33 20 53 54 , 13 31 26 50 55 →= 43 20 53 54 , 15 31 26 50 55 →= 44 20 53 54 , 17 31 26 50 55 →= 45 20 53 54 , 19 31 26 50 55 →= 34 20 53 54 , 21 31 26 50 55 →= 35 20 53 54 , 23 31 26 50 55 →= 46 20 53 54 } The system is trivially terminating.