/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES


Applying context closure of depth 1 in the following form: System R over Sigma
maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2,
where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n})

Remains to prove termination of the 990-rule system
{ [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] ,
  [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] -> [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] -> [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] ,
  [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] -> [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] ,
  [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] -> [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] -> [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] ,
  [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] ,
  [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] -> [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] -> [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] ,
  [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] -> [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] ,
  [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] -> [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] ,
  [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] -> [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] ,
  [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] ,
  [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] ,
  [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 0] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] -> [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] -> [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] -> [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] -> [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] -> [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] ,
  [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] -> [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] -> [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] -> [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] -> [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] -> [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] -> [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] -> [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] -> [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] -> [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] -> [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] -> [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] ,
  [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] -> [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] -> [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] ,
  [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] -> [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] -> [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] -> [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] ,
  [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] -> [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] ,
  [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] -> [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] -> [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] ,
  [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] ,
  [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] -> [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] ,
  [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] -> [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] ,
  [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] -> [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] -> [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] ,
  [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] ,
  [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] -> [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] ,
  [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] -> [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] -> [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] -> [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] -> [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] ,
  [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] -> [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] -> [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] -> [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] ,
  [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] -> [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] -> [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] ,
  [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] ,
  [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] -> [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] ,
  [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] -> [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] ,
  [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] -> [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] -> [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] -> [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] -> [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] -> [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] -> [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] -> [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] ,
  [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] -> [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] ,
  [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] -> [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] -> [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] -> [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] -> [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] ,
  [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 1] -> [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] -> [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 1] -> [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] -> [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] -> [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [0, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] -> [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] -> [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] -> [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] -> [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] -> [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] -> [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] -> [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] -> [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] ,
  [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] -> [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] -> [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] ,
  [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] -> [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] ,
  [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] ,
  [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] -> [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] -> [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] -> [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] -> [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] -> [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] ,
  [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] -> [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] -> [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] ,
  [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] -> [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] ,
  [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] -> [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] -> [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] ,
  [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] ,
  [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] ,
  [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] -> [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] ,
  [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] -> [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] -> [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] ,
  [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] ,
  [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] -> [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] ,
  [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] -> [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] ,
  [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] -> [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] ,
  [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] ,
  [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] -> [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] -> [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] -> [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] -> [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] -> [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] -> [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] -> [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] -> [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] -> [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] -> [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] -> [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] ,
  [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] -> [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] -> [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] -> [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] -> [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] -> [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] -> [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] -> [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] -> [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] -> [0, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] ,
  [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] -> [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] -> [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] ,
  [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 2] -> [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] -> [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] ,
  [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] -> [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] ,
  [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] -> [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] ,
  [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] -> [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] -> [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] ,
  [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] ,
  [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] ,
  [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] -> [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] ,
  [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] ,
  [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] -> [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] -> [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] -> [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] -> [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] ,
  [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] -> [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] -> [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] -> [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] ,
  [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] ,
  [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] -> [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] ,
  [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] ,
  [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] -> [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] -> [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] ,
  [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] -> [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] ,
  [1, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] -> [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] -> [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] ,
  [1, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] ,
  [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] ,
  [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] -> [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] -> [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] ,
  [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] ,
  [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] ,
  [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] -> [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] -> [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] ,
  [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] -> [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] ,
  [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] ,
  [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] -> [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] -> [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] -> [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] -> [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] -> [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] ,
  [1, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] -> [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] -> [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] -> [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] -> [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] -> [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] -> [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] -> [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] -> [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] -> [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] -> [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] -> [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] ,
  [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] -> [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] -> [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] -> [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] -> [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] -> [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] -> [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] -> [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] -> [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] -> [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] -> [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] ,
  [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] ,
  [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] ,
  [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] -> [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] ,
  [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] -> [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] ,
  [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] -> [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] -> [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] -> [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] ,
  [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] -> [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] -> [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] -> [1, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] ,
  [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] ,
  [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] -> [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] -> [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] -> [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] -> [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] ,
  [1, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] -> [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] -> [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] -> [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] ,
  [1, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] ,
  [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] ,
  [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] -> [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] ,
  [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] -> [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] ,
  [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] ,
  [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] ,
  [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] ,
  [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] -> [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] -> [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] -> [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] ,
  [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] -> [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] ,
  [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] ,
  [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] ,
  [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] -> [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] -> [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] -> [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] -> [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] -> [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] -> [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] -> [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] ,
  [1, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] ,
  [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] -> [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] ,
  [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] -> [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] -> [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] -> [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] -> [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] ,
  [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 1] -> [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] -> [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 1] -> [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] -> [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] -> [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] -> [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] -> [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] -> [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] -> [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] ,
  [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] -> [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] -> [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] -> [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] -> [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] -> [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] -> [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] -> [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] ,
  [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] -> [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] -> [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] ,
  [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] ,
  [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] -> [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] -> [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] ,
  [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] -> [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] ,
  [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] -> [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] -> [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] ,
  [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] -> [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] ,
  [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] -> [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] -> [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] -> [1, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] ,
  [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] -> [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] ,
  [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] -> [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] -> [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] -> [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] ,
  [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] -> [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] ,
  [1, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] -> [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] -> [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] -> [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] ,
  [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] ,
  [1, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] ,
  [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] -> [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] ,
  [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] ,
  [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] -> [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] -> [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] ,
  [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] ,
  [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] ,
  [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] -> [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] ,
  [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] -> [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] ,
  [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] -> [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] ,
  [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] -> [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] ,
  [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] ,
  [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] -> [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] -> [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] -> [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 2] ,
  [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] -> [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] ,
  [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] -> [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] -> [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] ,
  [1, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] -> [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] -> [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] -> [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] -> [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] -> [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] ,
  [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] -> [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] -> [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] -> [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] -> [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] -> [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] -> [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] -> [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] -> [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] -> [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] -> [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] -> [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] -> [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 2] -> [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] ,
  [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] -> [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] -> [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] -> [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] ,
  [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] -> [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] -> [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] -> [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] ,
  [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] ,
  [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] -> [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] ,
  [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] -> [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] ,
  [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] -> [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] -> [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] -> [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] -> [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] ,
  [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] -> [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] -> [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] -> [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] -> [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] ,
  [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] -> [1, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] ,
  [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] ,
  [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] ,
  [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] -> [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] ,
  [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] -> [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] ,
  [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] -> [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] ,
  [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] ,
  [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] -> [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] -> [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] ,
  [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] -> [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] ,
  [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] ,
  [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] ,
  [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] -> [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] ,
  [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] -> [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] -> [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] ,
  [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] -> [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] ,
  [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] -> [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] ,
  [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] -> [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] ,
  [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] ,
  [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] ,
  [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] ,
  [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 0] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] -> [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] -> [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] -> [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] ,
  [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] -> [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] -> [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] ,
  [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] -> [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] -> [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] -> [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] ,
  [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] -> [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] -> [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] -> [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] -> [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] -> [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] -> [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] -> [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] -> [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] -> [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] -> [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] ,
  [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] -> [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ,
  [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] -> [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] ,
  [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] -> [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] ,
  [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] -> [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] -> [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] ,
  [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] -> [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] ,
  [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] -> [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] ,
  [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] -> [2, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] ,
  [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] -> [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] -> [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] ,
  [2, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] -> [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] ,
  [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] ,
  [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] -> [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] ,
  [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] -> [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] ,
  [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] -> [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] -> [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] -> [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] ,
  [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] -> [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] ,
  [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] ,
  [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] ,
  [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] -> [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] ,
  [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] -> [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] -> [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] -> [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] ,
  [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] -> [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] -> [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] -> [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] ,
  [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] -> [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] ,
  [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] ,
  [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] ,
  [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] -> [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] -> [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] -> [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] -> [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] ,
  [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] -> [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] ,
  [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] -> [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] -> [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] -> [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] -> [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] -> [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] -> [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] -> [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] -> [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] ,
  [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] -> [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] ,
  [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] -> [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] -> [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] -> [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] -> [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] ,
  [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] -> [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 1] -> [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] -> [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 1] -> [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] -> [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] -> [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] -> [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] -> [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] -> [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] ,
  [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] ,
  [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] ,
  [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] -> [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] ,
  [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] -> [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] -> [2, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] ,
  [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] -> [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] -> [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] ,
  [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] ,
  [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] -> [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] -> [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] ,
  [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] -> [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] ,
  [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] ,
  [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] -> [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] ,
  [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] -> [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] -> [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] -> [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] ,
  [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] -> [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] ,
  [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] -> [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] -> [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] ,
  [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] -> [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] ,
  [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] -> [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] -> [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] -> [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] ,
  [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] -> [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] ,
  [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] ,
  [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] -> [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] ,
  [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] -> [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] -> [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] ,
  [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] -> [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] ,
  [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] ,
  [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] -> [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] ,
  [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] -> [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] -> [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] ,
  [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] -> [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] ,
  [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] ,
  [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] -> [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] -> [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] -> [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] -> [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] -> [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] -> [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] ,
  [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] -> [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] -> [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] -> [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] -> [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] -> [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] -> [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] ,
  [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] -> [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] -> [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] -> [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] -> [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] -> [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] -> [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] -> [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] -> [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] -> [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] -> [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] ,
  [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] -> [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] -> [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 2] -> [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] ,
  [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] -> [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] -> [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] -> [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] ,
  [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] -> [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] -> [2, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] ,
  [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] -> [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] -> [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] ,
  [2, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] ,
  [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] ,
  [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] -> [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] ,
  [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] ,
  [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] -> [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] -> [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] -> [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] -> [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] ,
  [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] -> [2, 2] [2, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 2] -> [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] -> [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] ,
  [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] -> [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] -> [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] ,
  [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] ,
  [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 2] }



The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 2:

[0, 0] is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
[0, 1] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
[1, 0] is interpreted by
 /   \
| 1 2 |
| 0 1 |
 \   /
[0, 2] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
[2, 2] is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
[2, 1] is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
[1, 1] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
[1, 2] is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
[2, 0] is interpreted by
 /   \
| 1 2 |
| 0 1 |
 \   /

Remains to prove termination of the 61-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 16:

[0, 0] is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[0, 1] is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[1, 0] is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[0, 2] is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[2, 2] is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[2, 1] is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[1, 1] is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[1, 2] is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[2, 0] is interpreted by
 /                               \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /

Remains to prove termination of the 60-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 25:

[0, 0] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[0, 1] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[1, 0] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[0, 2] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[2, 2] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[2, 1] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[1, 1] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[1, 2] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[2, 0] is interpreted by
 /                                                 \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /

Remains to prove termination of the 59-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 26:

[0, 0] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[0, 1] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[1, 0] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[0, 2] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[2, 2] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[2, 1] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[1, 1] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[1, 2] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[2, 0] is interpreted by
 /                                                   \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /

Remains to prove termination of the 58-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 29:

[0, 0] is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
[0, 1] is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
[1, 0] is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
[0, 2] is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
[2, 2] is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
[2, 1] is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
[1, 1] is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
[1, 2] is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
[2, 0] is interpreted by
 /                                                         \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /

Remains to prove termination of the 57-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 31:

[0, 0] is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[0, 1] is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[1, 0] is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[0, 2] is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[2, 2] is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[2, 1] is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[1, 1] is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[1, 2] is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[2, 0] is interpreted by
 /                                                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /

Remains to prove termination of the 56-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 16:

[0, 0] is interpreted by
 /                               \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[0, 1] is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[1, 0] is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[0, 2] is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[2, 2] is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[2, 1] is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[1, 1] is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[1, 2] is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[2, 0] is interpreted by
 /                               \
| 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /

Remains to prove termination of the 55-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 25:

[0, 0] is interpreted by
 /                                                 \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[0, 1] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[1, 0] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[0, 2] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[2, 2] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[2, 1] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[1, 1] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[1, 2] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[2, 0] is interpreted by
 /                                                 \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /

Remains to prove termination of the 54-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 47:

[0, 0] is interpreted by
 /                                                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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[1, 0] is interpreted by
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[2, 2] is interpreted by
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[2, 1] is interpreted by
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[1, 1] is interpreted by
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[1, 2] is interpreted by
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                             /
[2, 0] is interpreted by
 /                                                                                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                             /

Remains to prove termination of the 53-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 51:

[0, 0] is interpreted by
 /                                                                                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                                     /
[0, 1] is interpreted by
 /                                                                                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                                     /
[1, 0] is interpreted by
 /                                                                                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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[2, 2] is interpreted by
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                                     /

Remains to prove termination of the 52-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 53:

[0, 0] is interpreted by
 /                                                                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                                         /

Remains to prove termination of the 51-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 26:

[0, 0] is interpreted by
 /                                                   \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[0, 1] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[1, 0] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[0, 2] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[2, 2] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[2, 1] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[1, 1] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[1, 2] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[2, 0] is interpreted by
 /                                                   \
| 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /

Remains to prove termination of the 50-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 29:

[0, 0] is interpreted by
 /                                                         \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
[0, 1] is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
[1, 0] is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
[0, 2] is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
[2, 2] is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
[2, 1] is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
[1, 1] is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
[1, 2] is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
[2, 0] is interpreted by
 /                                                         \
| 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /

Remains to prove termination of the 49-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 31:

[0, 0] is interpreted by
 /                                                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[0, 1] is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[1, 0] is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[0, 2] is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[2, 2] is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[2, 1] is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[1, 1] is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[1, 2] is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[2, 0] is interpreted by
 /                                                             \
| 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /

Remains to prove termination of the 48-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 24:

[0, 0] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[0, 1] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[1, 0] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[0, 2] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[2, 2] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[2, 1] is interpreted by
 /                                               \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[1, 1] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[1, 2] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[2, 0] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /

Remains to prove termination of the 47-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 47:

[0, 0] is interpreted by
 /                                                                                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                             /
[0, 1] is interpreted by
 /                                                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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[1, 0] is interpreted by
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[0, 2] is interpreted by
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[2, 2] is interpreted by
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[2, 1] is interpreted by
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[1, 1] is interpreted by
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[1, 2] is interpreted by
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[2, 0] is interpreted by
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                             /

Remains to prove termination of the 46-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 16:

[0, 0] is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[0, 1] is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[1, 0] is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[0, 2] is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[2, 2] is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[2, 1] is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[1, 1] is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[1, 2] is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
[2, 0] is interpreted by
 /                               \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /

Remains to prove termination of the 45-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 24:

[0, 0] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[0, 1] is interpreted by
 /                                               \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[1, 0] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[0, 2] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[2, 2] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[2, 1] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[1, 1] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[1, 2] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[2, 0] is interpreted by
 /                                               \
| 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /

Remains to prove termination of the 44-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 30:

[0, 0] is interpreted by
 /                                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                           /
[0, 1] is interpreted by
 /                                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                           /
[1, 0] is interpreted by
 /                                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                           /
[0, 2] is interpreted by
 /                                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                           /
[2, 2] is interpreted by
 /                                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                           /
[2, 1] is interpreted by
 /                                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                           /
[1, 1] is interpreted by
 /                                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                           /
[1, 2] is interpreted by
 /                                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                           /
[2, 0] is interpreted by
 /                                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                           /

Remains to prove termination of the 43-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 18:

[0, 0] is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
[0, 1] is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
[1, 0] is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
[0, 2] is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
[2, 2] is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
[2, 1] is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
[1, 1] is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
[1, 2] is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
[2, 0] is interpreted by
 /                                   \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /

Remains to prove termination of the 42-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 31:

[0, 0] is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[0, 1] is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[1, 0] is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[0, 2] is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[2, 2] is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[2, 1] is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[1, 1] is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[1, 2] is interpreted by
 /                                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /
[2, 0] is interpreted by
 /                                                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                             /

Remains to prove termination of the 41-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 26:

[0, 0] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[0, 1] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[1, 0] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[0, 2] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[2, 2] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[2, 1] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[1, 1] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[1, 2] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[2, 0] is interpreted by
 /                                                   \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /

Remains to prove termination of the 40-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 25:

[0, 0] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[0, 1] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[1, 0] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[0, 2] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[2, 2] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[2, 1] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[1, 1] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[1, 2] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[2, 0] is interpreted by
 /                                                 \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /

Remains to prove termination of the 39-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 25:

[0, 0] is interpreted by
 /                                                 \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[0, 1] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[1, 0] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[0, 2] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[2, 2] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[2, 1] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[1, 1] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[1, 2] is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
[2, 0] is interpreted by
 /                                                 \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /

Remains to prove termination of the 38-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 48:

[0, 0] is interpreted by
 /                                                                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                               /
[0, 1] is interpreted by
 /                                                                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                               /
[1, 0] is interpreted by
 /                                                                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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 \                                                                                               /
[1, 1] is interpreted by
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 \                                                                                               /
[1, 2] is interpreted by
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 \                                                                                               /
[2, 0] is interpreted by
 /                                                                                               \
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 \                                                                                               /

Remains to prove termination of the 37-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 24:

[0, 0] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[0, 1] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[1, 0] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[0, 2] is interpreted by
 /                                               \
| 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[2, 2] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[2, 1] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[1, 1] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[1, 2] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[2, 0] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /

Remains to prove termination of the 36-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 44:

[0, 0] is interpreted by
 /                                                                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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 \                                                                                       /
[2, 2] is interpreted by
 /                                                                                       \
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 \                                                                                       /
[2, 1] is interpreted by
 /                                                                                       \
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 \                                                                                       /
[1, 1] is interpreted by
 /                                                                                       \
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 \                                                                                       /
[1, 2] is interpreted by
 /                                                                                       \
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                       /
[2, 0] is interpreted by
 /                                                                                       \
| 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                       /

Remains to prove termination of the 35-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 51:

[0, 0] is interpreted by
 /                                                                                                     \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                                     /
[0, 1] is interpreted by
 /                                                                                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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[1, 1] is interpreted by
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                                     /
[2, 0] is interpreted by
 /                                                                                                     \
| 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                                     /

Remains to prove termination of the 34-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 53:

[0, 0] is interpreted by
 /                                                                                                         \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                                         /

Remains to prove termination of the 33-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 44:

[0, 0] is interpreted by
 /                                                                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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 \                                                                                       /
[2, 2] is interpreted by
 /                                                                                       \
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 \                                                                                       /
[2, 1] is interpreted by
 /                                                                                       \
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 \                                                                                       /
[1, 1] is interpreted by
 /                                                                                       \
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 \                                                                                       /
[1, 2] is interpreted by
 /                                                                                       \
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                       /
[2, 0] is interpreted by
 /                                                                                       \
| 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                       /

Remains to prove termination of the 32-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 26:

[0, 0] is interpreted by
 /                                                   \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[0, 1] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[1, 0] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[0, 2] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[2, 2] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[2, 1] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[1, 1] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[1, 2] is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
[2, 0] is interpreted by
 /                                                   \
| 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /

Remains to prove termination of the 31-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 24:

[0, 0] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[0, 1] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[1, 0] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[0, 2] is interpreted by
 /                                               \
| 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[2, 2] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[2, 1] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[1, 1] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[1, 2] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /
[2, 0] is interpreted by
 /                                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                               /

Remains to prove termination of the 30-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [1, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] -> [2, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 2] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[2, 2] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[2, 1] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 2] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[2, 0] is interpreted by
 /                                           \
| 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 13-rule system
{ [0, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 2:

[0, 0] is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
[0, 1] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
[1, 0] is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
[0, 2] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
[2, 2] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
[2, 1] is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
[1, 1] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
[1, 2] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
[2, 0] is interpreted by
 /   \
| 1 2 |
| 0 1 |
 \   /

Remains to prove termination of the 0-rule system
{ }


The system is trivially terminating.