/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES After renaming modulo { 0->0, 1->1, 3->2, 2->3 }, it remains to prove termination of the 81-rule system { 0 0 0 1 2 2 3 3 2 0 0 1 2 3 3 2 2 3 -> 2 0 3 2 0 2 0 2 0 0 1 3 2 2 1 3 3 3 , 0 0 0 3 3 2 0 0 1 0 0 0 1 0 2 1 3 3 -> 0 0 0 2 3 0 1 2 0 3 1 0 0 1 3 0 0 3 , 0 0 1 2 1 0 0 1 2 2 0 0 1 3 3 1 1 1 -> 2 2 0 3 0 0 0 0 1 0 3 1 2 1 1 1 1 1 , 0 0 3 0 1 1 2 0 3 2 3 3 0 3 2 2 1 3 -> 0 0 2 3 1 0 0 2 1 2 0 2 3 3 1 3 3 3 , 0 0 3 0 2 0 3 3 2 0 3 0 0 3 2 0 0 3 -> 0 0 2 3 3 0 3 0 0 0 3 3 0 2 0 0 2 3 , 0 0 3 0 2 2 3 2 1 2 1 0 3 1 2 0 3 0 -> 0 0 1 1 2 0 2 2 1 3 0 3 2 0 3 3 0 2 , 0 1 0 0 3 3 3 2 3 1 2 3 2 2 1 0 1 0 -> 0 1 3 2 0 2 2 0 3 0 1 0 3 1 2 3 1 3 , 0 1 0 3 3 1 3 1 2 1 1 3 0 1 3 0 1 0 -> 3 0 0 2 1 3 3 1 3 0 1 0 1 3 1 1 1 0 , 0 1 1 1 2 0 1 2 1 3 0 3 1 3 3 0 2 0 -> 2 0 2 3 3 1 1 1 3 0 1 1 3 1 2 0 0 0 , 0 1 3 3 2 1 2 2 1 2 3 3 2 2 0 3 0 3 -> 0 1 3 2 0 2 2 2 2 3 3 1 3 0 3 2 1 3 , 0 1 3 2 0 3 1 1 2 2 2 3 2 1 2 1 2 1 -> 3 1 2 3 2 1 1 2 2 0 2 2 0 2 3 1 1 1 , 0 1 3 2 2 2 1 2 2 2 3 2 1 3 0 1 2 1 -> 3 2 0 2 2 2 1 1 2 0 2 1 2 3 2 1 3 1 , 0 1 2 3 2 1 1 2 3 3 0 0 1 2 3 2 2 2 -> 3 2 0 2 2 2 1 0 0 1 3 1 2 3 2 3 1 2 , 0 3 0 1 0 0 0 1 0 2 0 3 2 2 2 2 0 2 -> 0 2 0 0 0 2 2 3 0 1 1 0 3 2 0 0 2 2 , 0 3 0 1 2 1 0 0 2 3 0 3 3 2 0 1 0 0 -> 1 0 0 2 3 1 3 3 3 0 0 2 1 0 0 0 2 0 , 0 3 1 0 3 0 2 0 1 0 3 0 3 0 1 3 0 2 -> 0 3 1 3 0 3 1 3 0 2 0 0 2 3 1 0 0 0 , 0 2 1 1 3 3 0 0 0 1 2 3 2 2 2 2 2 2 -> 2 0 2 3 2 2 0 0 2 3 1 1 0 2 1 3 2 2 , 0 2 1 3 1 0 3 1 2 0 2 3 2 3 2 0 1 3 -> 2 0 3 2 0 2 1 3 1 3 2 0 2 1 0 3 1 3 , 0 2 3 2 1 0 0 1 0 0 1 3 2 3 1 1 0 1 -> 2 0 0 2 1 1 0 0 3 1 3 3 0 1 1 0 2 1 , 0 2 2 3 2 1 2 3 0 0 3 1 2 1 2 3 2 2 -> 2 3 3 2 3 0 1 3 1 2 1 2 0 2 0 2 2 2 , 1 0 0 0 2 0 3 1 2 2 1 3 3 2 1 2 3 1 -> 1 3 1 2 2 0 2 0 2 1 0 3 3 2 1 0 3 1 , 1 0 3 0 0 0 1 3 2 0 1 3 3 3 1 3 3 0 -> 1 3 3 0 0 1 1 0 0 3 3 3 3 1 3 0 0 2 , 1 0 3 1 3 2 2 0 1 0 3 2 0 1 1 2 2 1 -> 1 3 1 1 1 2 0 2 0 2 1 0 2 3 3 0 2 1 , 1 1 0 0 0 3 0 1 0 1 1 0 2 3 1 0 0 3 -> 1 1 3 1 1 0 0 3 2 0 0 0 0 1 1 0 0 3 , 1 1 0 2 1 3 0 0 1 2 3 1 3 0 2 0 3 3 -> 1 1 3 3 2 3 1 0 0 2 3 2 0 0 0 1 1 3 , 1 3 3 0 2 1 2 0 0 1 2 2 0 2 3 2 1 3 -> 1 0 3 2 2 2 2 0 3 0 2 1 0 2 1 3 1 3 , 1 3 3 3 3 0 2 2 3 1 2 0 3 1 2 3 0 2 -> 1 3 3 1 3 1 3 0 3 2 3 3 0 0 2 2 2 2 , 1 3 2 0 1 0 2 1 3 2 1 1 1 1 2 3 2 0 -> 1 1 3 1 1 2 0 2 2 3 1 3 0 2 1 1 2 0 , 1 2 0 3 0 2 3 3 1 2 3 2 3 3 3 1 2 3 -> 1 2 3 1 3 3 2 2 2 3 1 2 3 0 0 3 3 3 , 1 2 1 2 1 1 1 3 1 2 0 1 3 1 2 1 1 0 -> 1 0 1 1 1 2 2 3 2 0 1 3 1 1 1 1 1 2 , 1 2 1 2 3 0 0 0 1 2 1 0 3 3 3 1 0 3 -> 1 0 1 1 3 3 0 2 2 0 1 0 1 3 3 2 0 3 , 1 2 3 3 0 2 1 1 2 1 2 0 3 1 3 3 0 2 -> 1 1 3 1 0 1 3 2 2 0 2 0 2 3 3 1 3 2 , 1 2 2 1 2 1 2 0 1 0 3 2 1 1 1 2 0 2 -> 1 1 1 3 1 2 0 0 2 2 2 0 1 1 2 2 1 2 , 3 0 0 0 1 1 2 1 1 1 3 3 3 3 3 0 1 2 -> 3 0 1 3 0 0 2 3 3 1 1 1 1 3 3 1 2 0 , 3 0 0 1 2 1 2 3 1 0 0 3 3 3 0 3 0 2 -> 0 3 3 3 0 3 1 0 0 2 0 0 1 3 3 1 2 2 , 3 0 1 0 1 3 3 3 3 2 2 1 1 1 1 3 1 3 -> 0 3 3 1 1 1 3 1 0 2 2 3 3 1 1 3 1 3 , 3 0 3 0 2 0 0 3 3 1 1 0 2 1 0 2 1 1 -> 3 0 0 2 2 3 3 1 0 1 0 1 0 2 3 1 0 1 , 3 0 3 3 2 1 0 2 3 2 0 2 3 0 0 3 0 3 -> 3 0 0 3 2 0 2 2 0 2 3 0 1 3 3 3 0 3 , 3 0 2 0 0 1 2 1 3 0 3 1 2 0 3 3 0 0 -> 0 0 2 0 2 3 1 3 1 3 3 1 3 0 0 0 2 0 , 3 0 2 1 0 2 3 1 0 3 2 1 0 3 3 1 1 1 -> 3 1 3 3 3 0 1 1 0 0 2 2 1 2 0 3 1 1 , 3 1 0 2 1 2 1 3 3 3 3 1 3 2 1 2 0 3 -> 3 2 2 3 1 3 0 2 1 3 3 1 0 2 3 3 1 1 , 3 1 3 1 2 0 3 3 2 3 2 1 1 1 2 2 0 3 -> 3 1 3 1 2 3 1 3 2 3 2 2 0 0 2 1 3 1 , 3 1 3 3 3 3 3 0 1 2 3 0 0 1 3 2 1 3 -> 3 1 3 3 1 0 0 2 2 0 1 3 3 3 3 3 1 3 , 3 1 3 2 1 2 3 0 3 3 2 2 2 3 2 1 2 2 -> 3 2 2 3 3 1 2 3 2 3 1 0 2 2 1 3 2 2 , 3 1 2 0 0 3 3 1 1 2 1 2 1 0 0 3 1 3 -> 0 1 3 1 0 1 3 1 0 0 1 1 3 2 2 2 3 3 , 3 3 0 0 2 0 1 2 1 0 3 3 3 2 0 1 3 0 -> 0 3 0 2 3 2 3 1 0 3 0 3 1 0 1 0 3 2 , 3 3 1 2 1 2 0 0 3 1 3 3 3 1 1 1 0 1 -> 0 3 3 2 2 1 1 3 0 3 1 1 3 1 0 1 3 1 , 3 3 1 2 2 0 0 3 1 2 0 1 3 3 3 3 2 2 -> 3 0 3 3 0 3 1 0 2 3 3 1 1 2 3 2 2 2 , 3 3 3 3 2 3 0 1 2 1 3 3 3 1 2 3 2 2 -> 3 2 1 3 3 1 3 3 1 0 3 3 3 3 2 2 2 2 , 3 3 3 2 0 1 2 3 1 2 2 3 1 3 3 1 3 2 -> 3 3 3 1 1 3 2 3 2 3 3 0 2 1 3 1 2 2 , 3 3 2 1 1 1 2 1 3 0 1 3 3 0 1 3 3 3 -> 3 3 1 3 1 2 1 1 3 2 3 3 0 1 3 0 1 3 , 3 3 2 3 3 2 1 0 3 2 1 1 1 0 0 1 0 3 -> 0 3 1 1 3 3 0 2 2 0 1 1 3 3 1 0 2 3 , 3 2 0 1 2 1 2 2 0 2 0 3 0 2 1 2 3 2 -> 0 3 0 2 2 2 3 1 2 0 2 2 2 2 1 1 3 0 , 3 2 3 2 1 3 0 1 2 0 1 2 3 1 0 3 2 2 -> 0 2 1 0 3 3 1 3 3 1 2 2 2 1 0 3 2 2 , 3 2 2 3 1 0 2 0 0 0 2 2 1 2 0 0 0 2 -> 3 1 0 2 0 2 0 2 2 2 0 0 0 0 3 1 2 2 , 2 0 0 0 3 0 2 3 0 3 3 3 0 0 1 2 0 3 -> 0 0 3 1 3 2 0 2 3 0 3 0 0 2 0 3 0 3 , 2 0 0 3 3 3 1 2 1 2 2 2 3 0 3 2 2 2 -> 3 1 3 1 3 2 2 0 3 2 0 2 2 2 3 0 2 2 , 2 0 0 2 1 2 0 3 0 3 0 0 1 0 2 3 2 3 -> 0 0 2 3 2 2 0 0 0 2 3 0 1 3 2 1 0 3 , 2 0 1 3 1 0 3 1 1 2 0 1 3 2 1 1 1 1 -> 2 2 1 1 1 0 1 3 1 1 1 3 3 2 0 1 0 1 , 2 0 3 3 0 1 3 0 0 3 0 3 3 3 2 1 0 3 -> 0 3 1 3 3 2 0 0 2 3 3 1 3 0 3 0 0 3 , 2 0 3 3 2 3 3 2 3 3 2 2 3 0 1 2 3 2 -> 0 2 2 3 1 2 2 3 3 2 3 3 3 0 2 3 3 2 , 2 0 2 3 3 0 3 0 0 0 1 2 3 2 2 0 2 0 -> 2 0 3 0 1 3 3 0 2 0 3 0 2 0 2 2 2 0 , 2 1 0 0 2 0 0 0 0 1 3 0 3 0 3 0 0 1 -> 2 0 0 0 0 0 3 0 0 0 0 2 0 3 1 1 3 1 , 2 1 1 1 2 1 2 2 2 3 2 0 0 3 2 1 2 1 -> 2 2 1 3 3 2 0 1 0 2 2 2 1 1 1 2 2 1 , 2 1 2 1 1 1 1 2 3 0 0 3 3 3 1 2 2 1 -> 2 1 0 2 1 1 0 3 3 3 2 1 3 1 1 2 2 1 , 2 1 2 3 1 1 2 1 3 3 1 2 3 2 1 0 2 1 -> 2 1 2 2 1 3 0 1 1 3 3 1 2 2 3 2 1 1 , 2 1 2 3 1 2 1 0 2 3 0 3 0 2 0 3 2 2 -> 3 3 0 1 3 1 0 2 2 2 0 2 3 1 2 2 2 0 , 2 3 0 0 0 3 2 2 1 1 0 1 2 3 2 2 0 0 -> 2 0 3 1 3 2 2 0 2 1 0 1 3 2 2 0 0 0 , 2 3 1 2 1 3 3 3 2 2 0 3 1 2 0 3 0 3 -> 2 2 2 3 2 3 3 0 3 3 1 0 2 3 1 3 1 0 , 2 3 3 1 3 3 2 1 1 3 0 1 2 1 3 3 1 1 -> 2 1 1 1 3 3 1 2 3 2 3 3 1 1 3 0 3 1 , 2 3 3 3 2 3 2 0 1 2 3 1 2 3 2 0 3 1 -> 0 0 2 2 3 1 3 1 2 2 2 2 3 3 3 3 3 1 , 2 3 2 0 3 3 3 3 0 0 0 1 1 1 2 0 3 2 -> 2 0 3 2 3 0 2 1 3 0 3 1 0 2 3 1 3 0 , 2 2 0 3 0 3 0 1 3 0 3 2 0 3 3 0 2 2 -> 2 3 0 2 3 0 0 0 2 0 2 3 3 3 1 3 0 2 , 2 2 0 3 2 0 1 2 2 2 1 3 1 2 3 3 0 2 -> 3 2 1 1 0 1 3 0 2 2 2 3 2 3 2 2 0 2 , 2 2 0 2 1 0 0 3 3 3 0 0 0 3 3 1 2 3 -> 0 2 3 0 2 2 1 3 1 3 3 0 2 0 0 0 3 3 , 2 2 3 0 0 1 0 3 2 2 0 2 1 2 2 1 2 2 -> 0 0 2 2 1 1 0 3 3 2 1 2 2 0 2 2 2 2 , 2 2 3 1 2 0 0 1 2 3 0 0 3 2 2 0 0 3 -> 2 0 0 2 0 2 0 1 3 0 2 1 2 0 2 3 3 3 , 2 2 3 1 2 3 0 3 0 0 2 1 2 0 3 0 3 3 -> 3 0 1 2 3 3 3 1 3 2 2 0 2 0 0 0 2 3 , 2 2 2 1 2 1 2 0 2 2 3 0 1 2 0 1 3 2 -> 2 2 2 1 1 2 1 2 2 2 3 2 0 2 1 3 0 0 , 2 2 2 3 2 0 3 3 2 1 3 2 0 2 2 3 3 3 -> 2 0 2 3 3 3 0 2 2 2 3 3 2 3 1 2 2 3 , 0 1 3 2 ->= 0 1 3 2 } The system was reversed. After renaming modulo { 3->0, 2->1, 1->2, 0->3 }, it remains to prove termination of the 81-rule system { 0 1 1 0 0 1 2 3 3 1 0 0 1 1 2 3 3 3 -> 0 0 0 2 1 1 0 2 3 3 1 3 1 3 1 0 3 1 , 0 0 2 1 3 2 3 3 3 2 3 3 1 0 0 3 3 3 -> 0 3 3 0 2 3 3 2 0 3 1 2 3 0 1 3 3 3 , 2 2 2 0 0 2 3 3 1 1 2 3 3 2 1 2 3 3 -> 2 2 2 2 2 1 2 0 3 2 3 3 3 3 0 3 1 1 , 0 2 1 1 0 3 0 0 1 0 3 1 2 2 3 0 3 3 -> 0 0 0 2 0 0 1 3 1 2 1 3 3 2 0 1 3 3 , 0 3 3 1 0 3 3 0 3 1 0 0 3 1 3 0 3 3 -> 0 1 3 3 1 3 0 0 3 3 3 0 3 0 0 1 3 3 , 3 0 3 1 2 0 3 2 1 2 1 0 1 1 3 0 3 3 -> 1 3 0 0 3 1 0 3 0 2 1 1 3 1 2 2 3 3 , 3 2 3 2 1 1 0 1 2 0 1 0 0 0 3 3 2 3 -> 0 2 0 1 2 0 3 2 3 0 3 1 1 3 1 0 2 3 , 3 2 3 0 2 3 0 2 2 1 2 0 2 0 0 3 2 3 -> 3 2 2 2 0 2 3 2 3 0 2 0 0 2 1 3 3 0 , 3 1 3 0 0 2 0 3 0 2 1 2 3 1 2 2 2 3 -> 3 3 3 1 2 0 2 2 3 0 2 2 2 0 0 1 3 1 , 0 3 0 3 1 1 0 0 1 2 1 1 2 1 0 0 2 3 -> 0 2 1 0 3 0 2 0 0 1 1 1 1 3 1 0 2 3 , 2 1 2 1 2 1 0 1 1 1 2 2 0 3 1 0 2 3 -> 2 2 2 0 1 3 1 1 3 1 1 2 2 1 0 1 2 0 , 2 1 2 3 0 2 1 0 1 1 1 2 1 1 1 0 2 3 -> 2 0 2 1 0 1 2 1 3 1 2 2 1 1 1 3 1 0 , 1 1 1 0 1 2 3 3 0 0 1 2 2 1 0 1 2 3 -> 1 2 0 1 0 1 2 0 2 3 3 2 1 1 1 3 1 0 , 1 3 1 1 1 1 0 3 1 3 2 3 3 3 2 3 0 3 -> 1 1 3 3 1 0 3 2 2 3 0 1 1 3 3 3 1 3 , 3 3 2 3 1 0 0 3 0 1 3 3 2 1 2 3 0 3 -> 3 1 3 3 3 2 1 3 3 0 0 0 2 0 1 3 3 2 , 1 3 0 2 3 0 3 0 3 2 3 1 3 0 3 2 0 3 -> 3 3 3 2 0 1 3 3 1 3 0 2 0 3 0 2 0 3 , 1 1 1 1 1 1 0 1 2 3 3 3 0 0 2 2 1 3 -> 1 1 0 2 1 3 2 2 0 1 3 3 1 1 0 1 3 1 , 0 2 3 1 0 1 0 1 3 1 2 0 3 2 0 2 1 3 -> 0 2 0 3 2 1 3 1 0 2 0 2 1 3 1 0 3 1 , 2 3 2 2 0 1 0 2 3 3 2 3 3 2 1 0 1 3 -> 2 1 3 2 2 3 0 0 2 0 3 3 2 2 1 3 3 1 , 1 1 0 1 2 1 2 0 3 3 0 1 2 1 0 1 1 3 -> 1 1 1 3 1 3 1 2 1 2 0 2 3 0 1 0 0 1 , 2 0 1 2 1 0 0 2 1 1 2 0 3 1 3 3 3 2 -> 2 0 3 2 1 0 0 3 2 1 3 1 3 1 1 2 0 2 , 3 0 0 2 0 0 0 2 3 1 0 2 3 3 3 0 3 2 -> 1 3 3 0 2 0 0 0 0 3 3 2 2 3 3 0 0 2 , 2 1 1 2 2 3 1 0 3 2 3 1 1 0 2 0 3 2 -> 2 1 3 0 0 1 3 2 1 3 1 3 1 2 2 2 0 2 , 0 3 3 2 0 1 3 2 2 3 2 3 0 3 3 3 2 2 -> 0 3 3 2 2 3 3 3 3 1 0 3 3 2 2 0 2 2 , 0 0 3 1 3 0 2 0 1 2 3 3 0 2 1 3 2 2 -> 0 2 2 3 3 3 1 0 1 3 3 2 0 1 0 0 2 2 , 0 2 1 0 1 3 1 1 2 3 3 1 2 1 3 0 0 2 -> 0 2 0 2 1 3 2 1 3 0 3 1 1 1 1 0 3 2 , 1 3 0 1 2 0 3 1 2 0 1 1 3 0 0 0 0 2 -> 1 1 1 1 3 3 0 0 1 0 3 0 2 0 2 0 0 2 , 3 1 0 1 2 2 2 2 1 0 2 1 3 2 3 1 0 2 -> 3 1 2 2 1 3 0 2 0 1 1 3 1 2 2 0 2 2 , 0 1 2 0 0 0 1 0 1 2 0 0 1 3 0 3 1 2 -> 0 0 0 3 3 0 1 2 0 1 1 1 0 0 2 0 1 2 , 3 2 2 1 2 0 2 3 1 2 0 2 2 2 1 2 1 2 -> 1 2 2 2 2 2 0 2 3 1 0 1 1 2 2 2 3 2 , 0 3 2 0 0 0 3 2 1 2 3 3 3 0 1 2 1 2 -> 0 3 1 0 0 2 3 2 3 1 1 3 0 0 2 2 3 2 , 1 3 0 0 2 0 3 1 2 1 2 2 1 3 0 0 1 2 -> 1 0 2 0 0 1 3 1 3 1 1 0 2 3 2 0 2 2 , 1 3 1 2 2 2 1 0 3 2 3 1 2 1 2 1 1 2 -> 1 2 1 1 2 2 3 1 1 1 3 3 1 2 0 2 2 2 , 1 2 3 0 0 0 0 0 2 2 2 1 2 2 3 3 3 0 -> 3 1 2 0 0 2 2 2 2 0 0 1 3 3 0 2 3 0 , 1 3 0 3 0 0 0 3 3 2 0 1 2 1 2 3 3 0 -> 1 1 2 0 0 2 3 3 1 3 3 2 0 3 0 0 0 3 , 0 2 0 2 2 2 2 1 1 0 0 0 0 2 3 2 3 0 -> 0 2 0 2 2 0 0 1 1 3 2 0 2 2 2 0 0 3 , 2 2 1 3 2 1 3 2 2 0 0 3 3 1 3 0 3 0 -> 2 3 2 0 1 3 2 3 2 3 2 0 0 1 1 3 3 0 , 0 3 0 3 3 0 1 3 1 0 1 3 2 1 0 0 3 0 -> 0 3 0 0 0 2 3 0 1 3 1 1 3 1 0 3 3 0 , 3 3 0 0 3 1 2 0 3 0 2 1 2 3 3 1 3 0 -> 3 1 3 3 3 0 2 0 0 2 0 2 0 1 3 1 3 3 , 2 2 2 0 0 3 2 1 0 3 2 0 1 3 2 1 3 0 -> 2 2 0 3 1 2 1 1 3 3 2 2 3 0 0 0 2 0 , 0 3 1 2 1 0 2 0 0 0 0 2 1 2 1 3 2 0 -> 2 2 0 0 1 3 2 0 0 2 1 3 0 2 0 1 1 0 , 0 3 1 1 2 2 2 1 0 1 0 0 3 1 2 0 2 0 -> 2 0 2 1 3 3 1 1 0 1 0 2 0 1 2 0 2 0 , 0 2 1 0 2 3 3 0 1 2 3 0 0 0 0 0 2 0 -> 0 2 0 0 0 0 0 2 3 1 1 3 3 2 0 0 2 0 , 1 1 2 1 0 1 1 1 0 0 3 0 1 2 1 0 2 0 -> 1 1 0 2 1 1 3 2 0 1 0 1 2 0 0 1 1 0 , 0 2 0 3 3 2 1 2 1 2 2 0 0 3 3 1 2 0 -> 0 0 1 1 1 0 2 2 3 3 2 0 2 3 2 0 2 3 , 3 0 2 3 1 0 0 0 3 2 1 2 3 1 3 3 0 0 -> 1 0 3 2 3 2 0 3 0 3 2 0 1 0 1 3 0 3 , 2 3 2 2 2 0 0 0 2 0 3 3 1 2 1 2 0 0 -> 2 0 2 3 2 0 2 2 0 3 0 2 2 1 1 0 0 3 , 1 1 0 0 0 0 2 3 1 2 0 3 3 1 1 2 0 0 -> 1 1 1 0 1 2 2 0 0 1 3 2 0 3 0 0 3 0 , 1 1 0 1 2 0 0 0 2 1 2 3 0 1 0 0 0 0 -> 1 1 1 1 0 0 0 0 3 2 0 0 2 0 0 2 1 0 , 1 0 2 0 0 2 0 1 1 2 0 1 2 3 1 0 0 0 -> 1 1 2 0 2 1 3 0 0 1 0 1 0 2 2 0 0 0 , 0 0 0 2 3 0 0 2 3 0 2 1 2 2 2 1 0 0 -> 0 2 3 0 2 3 0 0 1 0 2 2 1 2 0 2 0 0 , 0 3 2 3 3 2 2 2 1 0 3 2 1 0 0 1 0 0 -> 0 1 3 2 0 0 2 2 3 1 1 3 0 0 2 2 0 3 , 1 0 1 2 1 3 0 3 1 3 1 1 2 1 2 3 1 0 -> 3 0 2 2 1 1 1 1 3 1 2 0 1 1 1 3 0 3 , 1 1 0 3 2 0 1 2 3 1 2 3 0 2 1 0 1 0 -> 1 1 0 3 2 1 1 1 2 0 0 2 0 0 3 2 1 3 , 1 3 3 3 1 2 1 1 3 3 3 1 3 2 0 1 1 0 -> 1 1 2 0 3 3 3 3 1 1 1 3 1 3 1 3 2 0 , 0 3 1 2 3 3 0 0 0 3 0 1 3 0 3 3 3 1 -> 0 3 0 3 1 3 3 0 3 0 1 3 1 0 2 0 3 3 , 1 1 1 0 3 0 1 1 1 2 1 2 0 0 0 3 3 1 -> 1 1 3 0 1 1 1 3 1 0 3 1 1 0 2 0 2 0 , 0 1 0 1 3 2 3 3 0 3 0 3 1 2 1 3 3 1 -> 0 3 2 1 0 2 3 0 1 3 3 3 1 1 0 1 3 3 , 2 2 2 2 1 0 2 3 1 2 2 0 3 2 0 2 3 1 -> 2 3 2 3 1 0 0 2 2 2 0 2 3 2 2 2 1 1 , 0 3 2 1 0 0 0 3 0 3 3 0 2 3 0 0 3 1 -> 0 3 3 0 3 0 2 0 0 1 3 3 1 0 0 2 0 3 , 1 0 1 2 3 0 1 1 0 0 1 0 0 1 0 0 3 1 -> 1 0 0 1 3 0 0 0 1 0 0 1 1 2 0 1 1 3 , 3 1 3 1 1 0 1 2 3 3 3 0 3 0 0 1 3 1 -> 3 1 1 1 3 1 3 0 3 1 3 0 0 2 3 0 3 1 , 2 3 3 0 3 0 3 0 2 3 3 3 3 1 3 3 2 1 -> 2 0 2 2 0 3 1 3 3 3 3 0 3 3 3 3 3 1 , 2 1 2 1 0 3 3 1 0 1 1 1 2 1 2 2 2 1 -> 2 1 1 2 2 2 1 1 1 3 2 3 1 0 0 2 1 1 , 2 1 1 2 0 0 0 3 3 0 1 2 2 2 2 1 2 1 -> 2 1 1 2 2 0 2 1 0 0 0 3 2 2 1 3 2 1 , 2 1 3 2 1 0 1 2 0 0 2 1 2 2 0 1 2 1 -> 2 2 1 0 1 1 2 0 0 2 2 3 0 2 1 1 2 1 , 1 1 0 3 1 3 0 3 0 1 3 2 1 2 0 1 2 1 -> 3 1 1 1 2 0 1 3 1 1 1 3 2 0 2 3 0 0 , 3 3 1 1 0 1 2 3 2 2 1 1 0 3 3 3 0 1 -> 3 3 3 1 1 0 2 3 2 1 3 1 1 0 2 0 3 1 , 0 3 0 3 1 2 0 3 1 1 0 0 0 2 1 2 0 1 -> 3 2 0 2 0 1 3 2 0 0 3 0 0 1 0 1 1 1 , 2 2 0 0 2 1 2 3 0 2 2 1 0 0 2 0 0 1 -> 2 0 3 0 2 2 0 0 1 0 1 2 0 0 2 2 2 1 , 2 0 3 1 0 1 2 0 1 2 3 1 0 1 0 0 0 1 -> 2 0 0 0 0 0 1 1 1 1 2 0 2 0 1 1 3 3 , 1 0 3 1 2 2 2 3 3 3 0 0 0 0 3 1 0 1 -> 3 0 2 0 1 3 2 0 3 0 2 1 3 0 1 0 3 1 , 1 1 3 0 0 3 1 0 3 0 2 3 0 3 0 3 1 1 -> 1 3 0 2 0 0 0 1 3 1 3 3 3 0 1 3 0 1 , 1 3 0 0 1 2 0 2 1 1 1 2 3 1 0 3 1 1 -> 1 3 1 1 0 1 0 1 1 1 3 0 2 3 2 2 1 0 , 0 1 2 0 0 3 3 3 0 0 0 3 3 2 1 3 1 1 -> 0 0 3 3 3 1 3 0 0 2 0 2 1 1 3 0 1 3 , 1 1 2 1 1 2 1 3 1 1 0 3 2 3 3 0 1 1 -> 1 1 1 1 3 1 1 2 1 0 0 3 2 2 1 1 3 3 , 0 3 3 1 1 0 3 3 0 1 2 3 3 1 2 0 1 1 -> 0 0 0 1 3 1 2 1 3 0 2 3 1 3 1 3 3 1 , 0 0 3 0 3 1 2 1 3 3 0 3 0 1 2 0 1 1 -> 0 1 3 3 3 1 3 1 1 0 2 0 0 0 1 2 3 0 , 1 0 2 3 1 2 3 0 1 1 3 1 2 1 2 1 1 1 -> 3 3 0 2 1 3 1 0 1 1 1 2 1 2 2 1 1 1 , 0 0 0 1 1 3 1 0 2 1 0 0 3 1 0 1 1 1 -> 0 1 1 2 0 1 0 0 1 1 1 3 0 0 0 1 3 1 , 1 0 2 3 ->= 1 0 2 3 } 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}) After renaming modulo { [0, 0]->0, [0, 1]->1, [1, 1]->2, [1, 0]->3, [1, 2]->4, [2, 3]->5, [3, 3]->6, [3, 1]->7, [3, 0]->8, [0, 2]->9, [2, 1]->10, [1, 3]->11, [0, 3]->12, [3, 2]->13, [2, 0]->14, [2, 2]->15 }, it remains to prove termination of the 1296-rule system { 0 1 2 3 0 1 4 5 6 7 3 0 1 2 4 5 6 6 8 -> 0 0 0 9 10 2 3 9 5 6 7 11 7 11 7 3 12 7 3 , 0 0 9 10 11 13 5 6 6 13 5 6 7 3 0 12 6 6 8 -> 0 12 6 8 9 5 6 13 14 12 7 4 5 8 1 11 6 6 8 , 9 15 15 14 0 9 5 6 7 2 4 5 6 13 10 4 5 6 8 -> 9 15 15 15 15 10 4 14 12 13 5 6 6 6 8 12 7 2 3 , 0 9 10 2 3 12 8 0 1 3 12 7 4 15 5 8 12 6 8 -> 0 0 0 9 14 0 1 11 7 4 10 11 6 13 14 1 11 6 8 , 0 12 6 7 3 12 6 8 12 7 3 0 12 7 11 8 12 6 8 -> 0 1 11 6 7 11 8 0 12 6 6 8 12 8 0 1 11 6 8 , 12 8 12 7 4 14 12 13 10 4 10 3 1 2 11 8 12 6 8 -> 1 11 8 0 12 7 3 12 8 9 10 2 11 7 4 15 5 6 8 , 12 13 5 13 10 2 3 1 4 14 1 3 0 0 12 6 13 5 8 -> 0 9 14 1 4 14 12 13 5 8 12 7 2 11 7 3 9 5 8 , 12 13 5 8 9 5 8 9 15 10 4 14 9 14 0 12 13 5 8 -> 12 13 15 15 14 9 5 13 5 8 9 14 0 9 10 11 6 8 0 , 12 7 11 8 0 9 14 12 8 9 10 4 5 7 4 15 15 5 8 -> 12 6 6 7 4 14 9 15 5 8 9 15 15 14 0 1 11 7 3 , 0 12 8 12 7 2 3 0 1 4 10 2 4 10 3 0 9 5 8 -> 0 9 10 3 12 8 9 14 0 1 2 2 2 11 7 3 9 5 8 , 9 10 4 10 4 10 3 1 2 2 4 15 14 12 7 3 9 5 8 -> 9 15 15 14 1 11 7 2 11 7 2 4 15 10 3 1 4 14 0 , 9 10 4 5 8 9 10 3 1 2 2 4 10 2 2 3 9 5 8 -> 9 14 9 10 3 1 4 10 11 7 4 15 10 2 2 11 7 3 0 , 1 2 2 3 1 4 5 6 8 0 1 4 15 10 3 1 4 5 8 -> 1 4 14 1 3 1 4 14 9 5 6 13 10 2 2 11 7 3 0 , 1 11 7 2 2 2 3 12 7 11 13 5 6 6 13 5 8 12 8 -> 1 2 11 6 7 3 12 13 15 5 8 1 2 11 6 6 7 11 8 , 12 6 13 5 7 3 0 12 8 1 11 6 13 10 4 5 8 12 8 -> 12 7 11 6 6 13 10 11 6 8 0 0 9 14 1 11 6 13 14 , 1 11 8 9 5 8 12 8 12 13 5 7 11 8 12 13 14 12 8 -> 12 6 6 13 14 1 11 6 7 11 8 9 14 12 8 9 14 12 8 , 1 2 2 2 2 2 3 1 4 5 6 6 8 0 9 15 10 11 8 -> 1 2 3 9 10 11 13 15 14 1 11 6 7 2 3 1 11 7 3 , 0 9 5 7 3 1 3 1 11 7 4 14 12 13 14 9 10 11 8 -> 0 9 14 12 13 10 11 7 3 9 14 9 10 11 7 3 12 7 3 , 9 5 13 15 14 1 3 9 5 6 13 5 6 13 10 3 1 11 8 -> 9 10 11 13 15 5 8 0 9 14 12 6 13 15 10 11 6 7 3 , 1 2 3 1 4 10 4 14 12 6 8 1 4 10 3 1 2 11 8 -> 1 2 2 11 7 11 7 4 10 4 14 9 5 8 1 3 0 1 3 , 9 14 1 4 10 3 0 9 10 2 4 14 12 7 11 6 6 13 14 -> 9 14 12 13 10 3 0 12 13 10 11 7 11 7 2 4 14 9 14 , 12 8 0 9 14 0 0 9 5 7 3 9 5 6 6 8 12 13 14 -> 1 11 6 8 9 14 0 0 0 12 6 13 15 5 6 8 0 9 14 , 9 10 2 4 15 5 7 3 12 13 5 7 2 3 9 14 12 13 14 -> 9 10 11 8 0 1 11 13 10 11 7 11 7 4 15 15 14 9 14 , 0 12 6 13 14 1 11 13 15 5 13 5 8 12 6 6 13 15 14 -> 0 12 6 13 15 5 6 6 6 7 3 12 6 13 15 14 9 15 14 , 0 0 12 7 11 8 9 14 1 4 5 6 8 9 10 11 13 15 14 -> 0 9 15 5 6 6 7 3 1 11 6 13 14 1 3 0 9 15 14 , 0 9 10 3 1 11 7 2 4 5 6 7 4 10 11 8 0 9 14 -> 0 9 14 9 10 11 13 10 11 8 12 7 2 2 2 3 12 13 14 , 1 11 8 1 4 14 12 7 4 14 1 2 11 8 0 0 0 9 14 -> 1 2 2 2 11 6 8 0 1 3 12 8 9 14 9 14 0 9 14 , 12 7 3 1 4 15 15 15 10 3 9 10 11 13 5 7 3 9 14 -> 12 7 4 15 10 11 8 9 14 1 2 11 7 4 15 14 9 15 14 , 0 1 4 14 0 0 1 3 1 4 14 0 1 11 8 12 7 4 14 -> 0 0 0 12 6 8 1 4 14 1 2 2 3 0 9 14 1 4 14 , 12 13 15 10 4 14 9 5 7 4 14 9 15 15 10 4 10 4 14 -> 1 4 15 15 15 15 14 9 5 7 3 1 2 4 15 15 5 13 14 , 0 12 13 14 0 0 12 13 10 4 5 6 6 8 1 4 10 4 14 -> 0 12 7 3 0 9 5 13 5 7 2 11 8 0 9 15 5 13 14 , 1 11 8 0 9 14 12 7 4 10 4 15 10 11 8 0 1 4 14 -> 1 3 9 14 0 1 11 7 11 7 2 3 9 5 13 14 9 15 14 , 1 11 7 4 15 15 10 3 12 13 5 7 4 10 4 10 2 4 14 -> 1 4 10 2 4 15 5 7 2 2 11 6 7 4 14 9 15 15 14 , 1 4 5 8 0 0 0 0 9 15 15 10 4 15 5 6 6 8 0 -> 12 7 4 14 0 9 15 15 15 14 0 1 11 6 8 9 5 8 0 , 1 11 8 12 8 0 0 12 6 13 14 1 4 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10 4 15 14 0 12 6 7 4 14 9 -> 0 0 1 2 2 3 9 15 5 6 13 14 9 5 13 14 9 5 13 , 12 8 9 5 7 3 0 0 12 13 10 4 5 7 11 6 8 0 9 -> 1 3 12 13 5 13 14 12 8 12 13 14 1 3 1 11 8 12 13 , 9 5 13 15 15 14 0 0 9 14 12 6 7 4 10 4 14 0 9 -> 9 14 9 5 13 14 9 15 14 12 8 9 15 10 2 3 0 12 13 , 1 2 3 0 0 0 9 5 7 4 14 12 6 7 2 4 14 0 9 -> 1 2 2 3 1 4 15 14 0 1 11 13 14 12 8 0 12 8 9 , 1 2 3 1 4 14 0 0 9 10 4 5 8 1 3 0 0 0 9 -> 1 2 2 2 3 0 0 0 12 13 14 0 9 14 0 9 10 3 9 , 1 3 9 14 0 9 14 1 2 4 14 1 4 5 7 3 0 0 9 -> 1 2 4 14 9 10 11 8 0 1 3 1 3 9 15 14 0 0 9 , 0 0 0 9 5 8 0 9 5 8 9 10 4 15 15 10 3 0 9 -> 0 9 5 8 9 5 8 0 1 3 9 15 10 4 14 9 14 0 9 , 0 12 13 5 6 13 15 15 10 3 12 13 10 3 0 1 3 0 9 -> 0 1 11 13 14 0 9 15 5 7 2 11 8 0 9 15 14 12 13 , 1 3 1 4 10 11 8 12 7 11 7 2 4 10 4 5 7 3 9 -> 12 8 9 15 10 2 2 2 11 7 4 14 1 2 2 11 8 12 13 , 1 2 3 12 13 14 1 4 5 7 4 5 8 9 10 3 1 3 9 -> 1 2 3 12 13 10 2 2 4 14 0 9 14 0 12 13 10 11 13 , 1 11 6 6 7 4 10 2 11 6 6 7 11 13 14 1 2 3 9 -> 1 2 4 14 12 6 6 6 7 2 2 11 7 11 7 11 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3 1 2 4 14 0 9 15 5 8 9 10 2 4 10 4 , 1 2 3 12 7 11 8 12 8 1 11 13 10 4 14 1 4 10 4 -> 12 7 2 2 4 14 1 11 7 2 2 11 13 14 9 5 8 0 9 , 12 6 7 2 3 1 4 5 13 15 10 2 3 12 6 6 8 1 4 -> 12 6 6 7 2 3 9 5 13 10 11 7 2 3 9 14 12 7 4 , 0 12 8 12 7 4 14 12 7 2 3 0 0 9 10 4 14 1 4 -> 12 13 14 9 14 1 11 13 14 0 12 8 0 1 3 1 2 2 4 , 9 15 14 0 9 10 4 5 8 9 15 10 3 0 9 14 0 1 4 -> 9 14 12 8 9 15 14 0 1 3 1 4 14 0 9 15 15 10 4 , 9 14 12 7 3 1 4 14 1 4 5 7 3 1 3 0 0 1 4 -> 9 14 0 0 0 0 1 2 2 2 4 14 9 14 1 2 11 6 13 , 1 3 12 7 4 15 15 5 6 6 8 0 0 0 12 7 3 1 4 -> 12 8 9 14 1 11 13 14 12 8 9 10 11 8 1 3 12 7 4 , 1 2 11 8 0 12 7 3 12 8 9 5 8 12 8 12 7 2 4 -> 1 11 8 9 14 0 0 1 11 7 11 6 6 8 1 11 8 1 4 , 1 11 8 0 1 4 14 9 10 2 2 4 5 7 3 12 7 2 4 -> 1 11 7 2 3 1 3 1 2 2 11 8 9 5 13 15 10 3 9 , 0 1 4 14 0 12 6 6 8 0 0 12 6 13 10 11 7 2 4 -> 0 0 12 6 6 7 11 8 0 9 14 9 10 2 11 8 1 11 13 , 1 2 4 10 2 4 10 11 7 2 3 12 13 5 6 8 1 2 4 -> 1 2 2 2 11 7 2 4 10 3 0 12 13 15 10 2 11 6 13 , 0 12 6 7 2 3 12 6 8 1 4 5 6 7 4 14 1 2 4 -> 0 0 0 1 11 7 4 10 11 8 9 5 7 11 7 11 6 7 4 , 0 0 12 8 12 7 4 10 11 6 8 12 8 1 4 14 1 2 4 -> 0 1 11 6 6 7 11 7 2 3 9 14 0 0 1 4 5 8 9 , 1 3 9 5 7 4 5 8 1 2 11 7 4 10 4 10 2 2 4 -> 12 6 8 9 10 11 7 3 1 2 2 4 10 4 15 10 2 2 4 , 0 0 0 1 2 11 7 3 9 10 3 0 12 7 3 1 2 2 4 -> 0 1 2 4 14 1 3 0 1 2 2 11 8 0 0 1 11 7 4 , 1 3 9 5 13 ->= 1 3 9 5 13 , 0 1 2 3 0 1 4 5 6 7 3 0 1 2 4 5 6 6 6 -> 0 0 0 9 10 2 3 9 5 6 7 11 7 11 7 3 12 7 11 , 0 0 9 10 11 13 5 6 6 13 5 6 7 3 0 12 6 6 6 -> 0 12 6 8 9 5 6 13 14 12 7 4 5 8 1 11 6 6 6 , 9 15 15 14 0 9 5 6 7 2 4 5 6 13 10 4 5 6 6 -> 9 15 15 15 15 10 4 14 12 13 5 6 6 6 8 12 7 2 11 , 0 9 10 2 3 12 8 0 1 3 12 7 4 15 5 8 12 6 6 -> 0 0 0 9 14 0 1 11 7 4 10 11 6 13 14 1 11 6 6 , 0 12 6 7 3 12 6 8 12 7 3 0 12 7 11 8 12 6 6 -> 0 1 11 6 7 11 8 0 12 6 6 8 12 8 0 1 11 6 6 , 12 8 12 7 4 14 12 13 10 4 10 3 1 2 11 8 12 6 6 -> 1 11 8 0 12 7 3 12 8 9 10 2 11 7 4 15 5 6 6 , 12 13 5 13 10 2 3 1 4 14 1 3 0 0 12 6 13 5 6 -> 0 9 14 1 4 14 12 13 5 8 12 7 2 11 7 3 9 5 6 , 12 13 5 8 9 5 8 9 15 10 4 14 9 14 0 12 13 5 6 -> 12 13 15 15 14 9 5 13 5 8 9 14 0 9 10 11 6 8 12 , 12 7 11 8 0 9 14 12 8 9 10 4 5 7 4 15 15 5 6 -> 12 6 6 7 4 14 9 15 5 8 9 15 15 14 0 1 11 7 11 , 0 12 8 12 7 2 3 0 1 4 10 2 4 10 3 0 9 5 6 -> 0 9 10 3 12 8 9 14 0 1 2 2 2 11 7 3 9 5 6 , 9 10 4 10 4 10 3 1 2 2 4 15 14 12 7 3 9 5 6 -> 9 15 15 14 1 11 7 2 11 7 2 4 15 10 3 1 4 14 12 , 9 10 4 5 8 9 10 3 1 2 2 4 10 2 2 3 9 5 6 -> 9 14 9 10 3 1 4 10 11 7 4 15 10 2 2 11 7 3 12 , 1 2 2 3 1 4 5 6 8 0 1 4 15 10 3 1 4 5 6 -> 1 4 14 1 3 1 4 14 9 5 6 13 10 2 2 11 7 3 12 , 1 11 7 2 2 2 3 12 7 11 13 5 6 6 13 5 8 12 6 -> 1 2 11 6 7 3 12 13 15 5 8 1 2 11 6 6 7 11 6 , 12 6 13 5 7 3 0 12 8 1 11 6 13 10 4 5 8 12 6 -> 12 7 11 6 6 13 10 11 6 8 0 0 9 14 1 11 6 13 5 , 1 11 8 9 5 8 12 8 12 13 5 7 11 8 12 13 14 12 6 -> 12 6 6 13 14 1 11 6 7 11 8 9 14 12 8 9 14 12 6 , 1 2 2 2 2 2 3 1 4 5 6 6 8 0 9 15 10 11 6 -> 1 2 3 9 10 11 13 15 14 1 11 6 7 2 3 1 11 7 11 , 0 9 5 7 3 1 3 1 11 7 4 14 12 13 14 9 10 11 6 -> 0 9 14 12 13 10 11 7 3 9 14 9 10 11 7 3 12 7 11 , 9 5 13 15 14 1 3 9 5 6 13 5 6 13 10 3 1 11 6 -> 9 10 11 13 15 5 8 0 9 14 12 6 13 15 10 11 6 7 11 , 1 2 3 1 4 10 4 14 12 6 8 1 4 10 3 1 2 11 6 -> 1 2 2 11 7 11 7 4 10 4 14 9 5 8 1 3 0 1 11 , 9 14 1 4 10 3 0 9 10 2 4 14 12 7 11 6 6 13 5 -> 9 14 12 13 10 3 0 12 13 10 11 7 11 7 2 4 14 9 5 , 12 8 0 9 14 0 0 9 5 7 3 9 5 6 6 8 12 13 5 -> 1 11 6 8 9 14 0 0 0 12 6 13 15 5 6 8 0 9 5 , 9 10 2 4 15 5 7 3 12 13 5 7 2 3 9 14 12 13 5 -> 9 10 11 8 0 1 11 13 10 11 7 11 7 4 15 15 14 9 5 , 0 12 6 13 14 1 11 13 15 5 13 5 8 12 6 6 13 15 5 -> 0 12 6 13 15 5 6 6 6 7 3 12 6 13 15 14 9 15 5 , 0 0 12 7 11 8 9 14 1 4 5 6 8 9 10 11 13 15 5 -> 0 9 15 5 6 6 7 3 1 11 6 13 14 1 3 0 9 15 5 , 0 9 10 3 1 11 7 2 4 5 6 7 4 10 11 8 0 9 5 -> 0 9 14 9 10 11 13 10 11 8 12 7 2 2 2 3 12 13 5 , 1 11 8 1 4 14 12 7 4 14 1 2 11 8 0 0 0 9 5 -> 1 2 2 2 11 6 8 0 1 3 12 8 9 14 9 14 0 9 5 , 12 7 3 1 4 15 15 15 10 3 9 10 11 13 5 7 3 9 5 -> 12 7 4 15 10 11 8 9 14 1 2 11 7 4 15 14 9 15 5 , 0 1 4 14 0 0 1 3 1 4 14 0 1 11 8 12 7 4 5 -> 0 0 0 12 6 8 1 4 14 1 2 2 3 0 9 14 1 4 5 , 12 13 15 10 4 14 9 5 7 4 14 9 15 15 10 4 10 4 5 -> 1 4 15 15 15 15 14 9 5 7 3 1 2 4 15 15 5 13 5 , 0 12 13 14 0 0 12 13 10 4 5 6 6 8 1 4 10 4 5 -> 0 12 7 3 0 9 5 13 5 7 2 11 8 0 9 15 5 13 5 , 1 11 8 0 9 14 12 7 4 10 4 15 10 11 8 0 1 4 5 -> 1 3 9 14 0 1 11 7 11 7 2 3 9 5 13 14 9 15 5 , 1 11 7 4 15 15 10 3 12 13 5 7 4 10 4 10 2 4 5 -> 1 4 10 2 4 15 5 7 2 2 11 6 7 4 14 9 15 15 5 , 1 4 5 8 0 0 0 0 9 15 15 10 4 15 5 6 6 8 12 -> 12 7 4 14 0 9 15 15 15 14 0 1 11 6 8 9 5 8 12 , 1 11 8 12 8 0 0 12 6 13 14 1 4 10 4 5 6 8 12 -> 1 2 4 14 0 9 5 6 7 11 6 13 14 12 8 0 0 12 6 , 0 9 14 9 15 15 15 10 2 3 0 0 0 9 5 13 5 8 12 -> 0 9 14 9 15 14 0 1 2 11 13 14 9 15 15 14 0 12 6 , 9 15 10 11 13 10 11 13 15 14 0 12 6 7 11 8 12 8 12 -> 9 5 13 14 1 11 13 5 13 5 13 14 0 1 2 11 6 8 12 , 0 12 8 12 6 8 1 11 7 3 1 11 13 10 3 0 12 8 12 -> 0 12 8 0 0 9 5 8 1 11 7 2 11 7 3 12 6 8 12 , 12 6 8 0 12 7 4 14 12 8 9 10 4 5 6 7 11 8 12 -> 12 7 11 6 6 8 9 14 0 9 14 9 14 1 11 7 11 6 6 , 9 15 15 14 0 12 13 10 3 12 13 14 1 11 13 10 11 8 12 -> 9 15 14 12 7 4 10 2 11 6 13 15 5 8 0 0 9 14 12 , 0 12 7 4 10 3 9 14 0 0 0 9 10 4 10 11 13 14 12 -> 9 15 14 0 1 11 13 14 0 9 10 11 8 9 14 1 2 3 12 , 0 12 7 2 4 15 15 10 3 1 3 0 12 7 4 14 9 14 12 -> 9 14 9 10 11 6 7 2 3 1 3 9 14 1 4 14 9 14 12 , 0 9 10 3 9 5 6 8 1 4 5 8 0 0 0 0 9 14 12 -> 0 9 14 0 0 0 0 9 5 7 2 11 6 13 14 0 9 14 12 , 1 2 4 10 3 1 2 2 3 0 12 8 1 4 10 3 9 14 12 -> 1 2 3 9 10 2 11 13 14 1 3 1 4 14 0 1 2 3 12 , 0 9 14 12 6 13 10 4 10 4 15 14 0 12 6 7 4 14 12 -> 0 0 1 2 2 3 9 15 5 6 13 14 9 5 13 14 9 5 6 , 12 8 9 5 7 3 0 0 12 13 10 4 5 7 11 6 8 0 12 -> 1 3 12 13 5 13 14 12 8 12 13 14 1 3 1 11 8 12 6 , 9 5 13 15 15 14 0 0 9 14 12 6 7 4 10 4 14 0 12 -> 9 14 9 5 13 14 9 15 14 12 8 9 15 10 2 3 0 12 6 , 1 2 3 0 0 0 9 5 7 4 14 12 6 7 2 4 14 0 12 -> 1 2 2 3 1 4 15 14 0 1 11 13 14 12 8 0 12 8 12 , 1 2 3 1 4 14 0 0 9 10 4 5 8 1 3 0 0 0 12 -> 1 2 2 2 3 0 0 0 12 13 14 0 9 14 0 9 10 3 12 , 1 3 9 14 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14 0 1 11 6 7 3 0 9 14 12 6 , 1 3 1 4 5 8 1 2 3 0 1 3 0 1 3 0 12 7 11 -> 1 3 0 1 11 8 0 0 1 3 0 1 2 4 14 1 2 11 6 , 12 7 11 7 2 3 1 4 5 6 6 8 12 8 0 1 11 7 11 -> 12 7 2 2 11 7 11 8 12 7 11 8 0 9 5 8 12 7 11 , 9 5 6 8 12 8 12 8 9 5 6 6 6 7 11 6 13 10 11 -> 9 14 9 15 14 12 7 11 6 6 6 8 12 6 6 6 6 7 11 , 9 10 4 10 3 12 6 7 3 1 2 2 4 10 4 15 15 10 11 -> 9 10 2 4 15 15 10 2 2 11 13 5 7 3 0 9 10 2 11 , 9 10 2 4 14 0 0 12 6 8 1 4 15 15 15 10 4 10 11 -> 9 10 2 4 15 14 9 10 3 0 0 12 13 15 10 11 13 10 11 , 9 10 11 13 10 3 1 4 14 0 9 10 4 15 14 1 4 10 11 -> 9 15 10 3 1 2 4 14 0 9 15 5 8 9 10 2 4 10 11 , 1 2 3 12 7 11 8 12 8 1 11 13 10 4 14 1 4 10 11 -> 12 7 2 2 4 14 1 11 7 2 2 11 13 14 9 5 8 0 12 , 12 6 7 2 3 1 4 5 13 15 10 2 3 12 6 6 8 1 11 -> 12 6 6 7 2 3 9 5 13 10 11 7 2 3 9 14 12 7 11 , 0 12 8 12 7 4 14 12 7 2 3 0 0 9 10 4 14 1 11 -> 12 13 14 9 14 1 11 13 14 0 12 8 0 1 3 1 2 2 11 , 9 15 14 0 9 10 4 5 8 9 15 10 3 0 9 14 0 1 11 -> 9 14 12 8 9 15 14 0 1 3 1 4 14 0 9 15 15 10 11 , 9 14 12 7 3 1 4 14 1 4 5 7 3 1 3 0 0 1 11 -> 9 14 0 0 0 0 1 2 2 2 4 14 9 14 1 2 11 6 6 , 1 3 12 7 4 15 15 5 6 6 8 0 0 0 12 7 3 1 11 -> 12 8 9 14 1 11 13 14 12 8 9 10 11 8 1 3 12 7 11 , 1 2 11 8 0 12 7 3 12 8 9 5 8 12 8 12 7 2 11 -> 1 11 8 9 14 0 0 1 11 7 11 6 6 8 1 11 8 1 11 , 1 11 8 0 1 4 14 9 10 2 2 4 5 7 3 12 7 2 11 -> 1 11 7 2 3 1 3 1 2 2 11 8 9 5 13 15 10 3 12 , 0 1 4 14 0 12 6 6 8 0 0 12 6 13 10 11 7 2 11 -> 0 0 12 6 6 7 11 8 0 9 14 9 10 2 11 8 1 11 6 , 1 2 4 10 2 4 10 11 7 2 3 12 13 5 6 8 1 2 11 -> 1 2 2 2 11 7 2 4 10 3 0 12 13 15 10 2 11 6 6 , 0 12 6 7 2 3 12 6 8 1 4 5 6 7 4 14 1 2 11 -> 0 0 0 1 11 7 4 10 11 8 9 5 7 11 7 11 6 7 11 , 0 0 12 8 12 7 4 10 11 6 8 12 8 1 4 14 1 2 11 -> 0 1 11 6 6 7 11 7 2 3 9 14 0 0 1 4 5 8 12 , 1 3 9 5 7 4 5 8 1 2 11 7 4 10 4 10 2 2 11 -> 12 6 8 9 10 11 7 3 1 2 2 4 10 4 15 10 2 2 11 , 0 0 0 1 2 11 7 3 9 10 3 0 12 7 3 1 2 2 11 -> 0 1 2 4 14 1 3 0 1 2 2 11 8 0 0 1 11 7 11 , 1 3 9 5 6 ->= 1 3 9 5 6 , 3 1 2 3 0 1 4 5 6 7 3 0 1 2 4 5 6 6 8 -> 3 0 0 9 10 2 3 9 5 6 7 11 7 11 7 3 12 7 3 , 3 0 9 10 11 13 5 6 6 13 5 6 7 3 0 12 6 6 8 -> 3 12 6 8 9 5 6 13 14 12 7 4 5 8 1 11 6 6 8 , 4 15 15 14 0 9 5 6 7 2 4 5 6 13 10 4 5 6 8 -> 4 15 15 15 15 10 4 14 12 13 5 6 6 6 8 12 7 2 3 , 3 9 10 2 3 12 8 0 1 3 12 7 4 15 5 8 12 6 8 -> 3 0 0 9 14 0 1 11 7 4 10 11 6 13 14 1 11 6 8 , 3 12 6 7 3 12 6 8 12 7 3 0 12 7 11 8 12 6 8 -> 3 1 11 6 7 11 8 0 12 6 6 8 12 8 0 1 11 6 8 , 11 8 12 7 4 14 12 13 10 4 10 3 1 2 11 8 12 6 8 -> 2 11 8 0 12 7 3 12 8 9 10 2 11 7 4 15 5 6 8 , 11 13 5 13 10 2 3 1 4 14 1 3 0 0 12 6 13 5 8 -> 3 9 14 1 4 14 12 13 5 8 12 7 2 11 7 3 9 5 8 , 11 13 5 8 9 5 8 9 15 10 4 14 9 14 0 12 13 5 8 -> 11 13 15 15 14 9 5 13 5 8 9 14 0 9 10 11 6 8 0 , 11 7 11 8 0 9 14 12 8 9 10 4 5 7 4 15 15 5 8 -> 11 6 6 7 4 14 9 15 5 8 9 15 15 14 0 1 11 7 3 , 3 12 8 12 7 2 3 0 1 4 10 2 4 10 3 0 9 5 8 -> 3 9 10 3 12 8 9 14 0 1 2 2 2 11 7 3 9 5 8 , 4 10 4 10 4 10 3 1 2 2 4 15 14 12 7 3 9 5 8 -> 4 15 15 14 1 11 7 2 11 7 2 4 15 10 3 1 4 14 0 , 4 10 4 5 8 9 10 3 1 2 2 4 10 2 2 3 9 5 8 -> 4 14 9 10 3 1 4 10 11 7 4 15 10 2 2 11 7 3 0 , 2 2 2 3 1 4 5 6 8 0 1 4 15 10 3 1 4 5 8 -> 2 4 14 1 3 1 4 14 9 5 6 13 10 2 2 11 7 3 0 , 2 11 7 2 2 2 3 12 7 11 13 5 6 6 13 5 8 12 8 -> 2 2 11 6 7 3 12 13 15 5 8 1 2 11 6 6 7 11 8 , 11 6 13 5 7 3 0 12 8 1 11 6 13 10 4 5 8 12 8 -> 11 7 11 6 6 13 10 11 6 8 0 0 9 14 1 11 6 13 14 , 2 11 8 9 5 8 12 8 12 13 5 7 11 8 12 13 14 12 8 -> 11 6 6 13 14 1 11 6 7 11 8 9 14 12 8 9 14 12 8 , 2 2 2 2 2 2 3 1 4 5 6 6 8 0 9 15 10 11 8 -> 2 2 3 9 10 11 13 15 14 1 11 6 7 2 3 1 11 7 3 , 3 9 5 7 3 1 3 1 11 7 4 14 12 13 14 9 10 11 8 -> 3 9 14 12 13 10 11 7 3 9 14 9 10 11 7 3 12 7 3 , 4 5 13 15 14 1 3 9 5 6 13 5 6 13 10 3 1 11 8 -> 4 10 11 13 15 5 8 0 9 14 12 6 13 15 10 11 6 7 3 , 2 2 3 1 4 10 4 14 12 6 8 1 4 10 3 1 2 11 8 -> 2 2 2 11 7 11 7 4 10 4 14 9 5 8 1 3 0 1 3 , 4 14 1 4 10 3 0 9 10 2 4 14 12 7 11 6 6 13 14 -> 4 14 12 13 10 3 0 12 13 10 11 7 11 7 2 4 14 9 14 , 11 8 0 9 14 0 0 9 5 7 3 9 5 6 6 8 12 13 14 -> 2 11 6 8 9 14 0 0 0 12 6 13 15 5 6 8 0 9 14 , 4 10 2 4 15 5 7 3 12 13 5 7 2 3 9 14 12 13 14 -> 4 10 11 8 0 1 11 13 10 11 7 11 7 4 15 15 14 9 14 , 3 12 6 13 14 1 11 13 15 5 13 5 8 12 6 6 13 15 14 -> 3 12 6 13 15 5 6 6 6 7 3 12 6 13 15 14 9 15 14 , 3 0 12 7 11 8 9 14 1 4 5 6 8 9 10 11 13 15 14 -> 3 9 15 5 6 6 7 3 1 11 6 13 14 1 3 0 9 15 14 , 3 9 10 3 1 11 7 2 4 5 6 7 4 10 11 8 0 9 14 -> 3 9 14 9 10 11 13 10 11 8 12 7 2 2 2 3 12 13 14 , 2 11 8 1 4 14 12 7 4 14 1 2 11 8 0 0 0 9 14 -> 2 2 2 2 11 6 8 0 1 3 12 8 9 14 9 14 0 9 14 , 11 7 3 1 4 15 15 15 10 3 9 10 11 13 5 7 3 9 14 -> 11 7 4 15 10 11 8 9 14 1 2 11 7 4 15 14 9 15 14 , 3 1 4 14 0 0 1 3 1 4 14 0 1 11 8 12 7 4 14 -> 3 0 0 12 6 8 1 4 14 1 2 2 3 0 9 14 1 4 14 , 11 13 15 10 4 14 9 5 7 4 14 9 15 15 10 4 10 4 14 -> 2 4 15 15 15 15 14 9 5 7 3 1 2 4 15 15 5 13 14 , 3 12 13 14 0 0 12 13 10 4 5 6 6 8 1 4 10 4 14 -> 3 12 7 3 0 9 5 13 5 7 2 11 8 0 9 15 5 13 14 , 2 11 8 0 9 14 12 7 4 10 4 15 10 11 8 0 1 4 14 -> 2 3 9 14 0 1 11 7 11 7 2 3 9 5 13 14 9 15 14 , 2 11 7 4 15 15 10 3 12 13 5 7 4 10 4 10 2 4 14 -> 2 4 10 2 4 15 5 7 2 2 11 6 7 4 14 9 15 15 14 , 2 4 5 8 0 0 0 0 9 15 15 10 4 15 5 6 6 8 0 -> 11 7 4 14 0 9 15 15 15 14 0 1 11 6 8 9 5 8 0 , 2 11 8 12 8 0 0 12 6 13 14 1 4 10 4 5 6 8 0 -> 2 2 4 14 0 9 5 6 7 11 6 13 14 12 8 0 0 12 8 , 3 9 14 9 15 15 15 10 2 3 0 0 0 9 5 13 5 8 0 -> 3 9 14 9 15 14 0 1 2 11 13 14 9 15 15 14 0 12 8 , 4 15 10 11 13 10 11 13 15 14 0 12 6 7 11 8 12 8 0 -> 4 5 13 14 1 11 13 5 13 5 13 14 0 1 2 11 6 8 0 , 3 12 8 12 6 8 1 11 7 3 1 11 13 10 3 0 12 8 0 -> 3 12 8 0 0 9 5 8 1 11 7 2 11 7 3 12 6 8 0 , 11 6 8 0 12 7 4 14 12 8 9 10 4 5 6 7 11 8 0 -> 11 7 11 6 6 8 9 14 0 9 14 9 14 1 11 7 11 6 8 , 4 15 15 14 0 12 13 10 3 12 13 14 1 11 13 10 11 8 0 -> 4 15 14 12 7 4 10 2 11 6 13 15 5 8 0 0 9 14 0 , 3 12 7 4 10 3 9 14 0 0 0 9 10 4 10 11 13 14 0 -> 4 15 14 0 1 11 13 14 0 9 10 11 8 9 14 1 2 3 0 , 3 12 7 2 4 15 15 10 3 1 3 0 12 7 4 14 9 14 0 -> 4 14 9 10 11 6 7 2 3 1 3 9 14 1 4 14 9 14 0 , 3 9 10 3 9 5 6 8 1 4 5 8 0 0 0 0 9 14 0 -> 3 9 14 0 0 0 0 9 5 7 2 11 6 13 14 0 9 14 0 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9 14 0 12 13 10 11 8 , 2 11 6 6 7 4 10 2 11 6 6 7 11 13 14 1 2 3 0 -> 2 2 4 14 12 6 6 6 7 2 2 11 7 11 7 11 13 14 0 , 3 12 7 4 5 6 8 0 0 12 8 1 11 8 12 6 6 7 3 -> 3 12 8 12 7 11 6 8 12 8 1 11 7 3 9 14 12 6 8 , 2 2 2 3 12 8 1 2 2 4 10 4 14 0 0 12 6 7 3 -> 2 2 11 8 1 2 2 11 7 3 12 7 2 3 9 14 9 14 0 , 3 1 3 1 11 13 5 6 8 12 8 12 7 4 10 11 6 7 3 -> 3 12 13 10 3 9 5 8 1 11 6 6 7 2 3 1 11 6 8 , 4 15 15 15 10 3 9 5 7 4 15 14 12 13 14 9 5 7 3 -> 4 5 13 5 7 3 0 9 15 15 14 9 5 13 15 15 10 2 3 , 3 12 13 10 3 0 0 12 8 12 6 8 9 5 8 0 12 7 3 -> 3 12 6 8 12 8 9 14 0 1 11 6 7 3 0 9 14 12 8 , 2 3 1 4 5 8 1 2 3 0 1 3 0 1 3 0 12 7 3 -> 2 3 0 1 11 8 0 0 1 3 0 1 2 4 14 1 2 11 8 , 11 7 11 7 2 3 1 4 5 6 6 8 12 8 0 1 11 7 3 -> 11 7 2 2 11 7 11 8 12 7 11 8 0 9 5 8 12 7 3 , 4 5 6 8 12 8 12 8 9 5 6 6 6 7 11 6 13 10 3 -> 4 14 9 15 14 12 7 11 6 6 6 8 12 6 6 6 6 7 3 , 4 10 4 10 3 12 6 7 3 1 2 2 4 10 4 15 15 10 3 -> 4 10 2 4 15 15 10 2 2 11 13 5 7 3 0 9 10 2 3 , 4 10 2 4 14 0 0 12 6 8 1 4 15 15 15 10 4 10 3 -> 4 10 2 4 15 14 9 10 3 0 0 12 13 15 10 11 13 10 3 , 4 10 11 13 10 3 1 4 14 0 9 10 4 15 14 1 4 10 3 -> 4 15 10 3 1 2 4 14 0 9 15 5 8 9 10 2 4 10 3 , 2 2 3 12 7 11 8 12 8 1 11 13 10 4 14 1 4 10 3 -> 11 7 2 2 4 14 1 11 7 2 2 11 13 14 9 5 8 0 0 , 11 6 7 2 3 1 4 5 13 15 10 2 3 12 6 6 8 1 3 -> 11 6 6 7 2 3 9 5 13 10 11 7 2 3 9 14 12 7 3 , 3 12 8 12 7 4 14 12 7 2 3 0 0 9 10 4 14 1 3 -> 11 13 14 9 14 1 11 13 14 0 12 8 0 1 3 1 2 2 3 , 4 15 14 0 9 10 4 5 8 9 15 10 3 0 9 14 0 1 3 -> 4 14 12 8 9 15 14 0 1 3 1 4 14 0 9 15 15 10 3 , 4 14 12 7 3 1 4 14 1 4 5 7 3 1 3 0 0 1 3 -> 4 14 0 0 0 0 1 2 2 2 4 14 9 14 1 2 11 6 8 , 2 3 12 7 4 15 15 5 6 6 8 0 0 0 12 7 3 1 3 -> 11 8 9 14 1 11 13 14 12 8 9 10 11 8 1 3 12 7 3 , 2 2 11 8 0 12 7 3 12 8 9 5 8 12 8 12 7 2 3 -> 2 11 8 9 14 0 0 1 11 7 11 6 6 8 1 11 8 1 3 , 2 11 8 0 1 4 14 9 10 2 2 4 5 7 3 12 7 2 3 -> 2 11 7 2 3 1 3 1 2 2 11 8 9 5 13 15 10 3 0 , 3 1 4 14 0 12 6 6 8 0 0 12 6 13 10 11 7 2 3 -> 3 0 12 6 6 7 11 8 0 9 14 9 10 2 11 8 1 11 8 , 2 2 4 10 2 4 10 11 7 2 3 12 13 5 6 8 1 2 3 -> 2 2 2 2 11 7 2 4 10 3 0 12 13 15 10 2 11 6 8 , 3 12 6 7 2 3 12 6 8 1 4 5 6 7 4 14 1 2 3 -> 3 0 0 1 11 7 4 10 11 8 9 5 7 11 7 11 6 7 3 , 3 0 12 8 12 7 4 10 11 6 8 12 8 1 4 14 1 2 3 -> 3 1 11 6 6 7 11 7 2 3 9 14 0 0 1 4 5 8 0 , 2 3 9 5 7 4 5 8 1 2 11 7 4 10 4 10 2 2 3 -> 11 6 8 9 10 11 7 3 1 2 2 4 10 4 15 10 2 2 3 , 3 0 0 1 2 11 7 3 9 10 3 0 12 7 3 1 2 2 3 -> 3 1 2 4 14 1 3 0 1 2 2 11 8 0 0 1 11 7 3 , 2 3 9 5 8 ->= 2 3 9 5 8 , 3 1 2 3 0 1 4 5 6 7 3 0 1 2 4 5 6 6 7 -> 3 0 0 9 10 2 3 9 5 6 7 11 7 11 7 3 12 7 2 , 3 0 9 10 11 13 5 6 6 13 5 6 7 3 0 12 6 6 7 -> 3 12 6 8 9 5 6 13 14 12 7 4 5 8 1 11 6 6 7 , 4 15 15 14 0 9 5 6 7 2 4 5 6 13 10 4 5 6 7 -> 4 15 15 15 15 10 4 14 12 13 5 6 6 6 8 12 7 2 2 , 3 9 10 2 3 12 8 0 1 3 12 7 4 15 5 8 12 6 7 -> 3 0 0 9 14 0 1 11 7 4 10 11 6 13 14 1 11 6 7 , 3 12 6 7 3 12 6 8 12 7 3 0 12 7 11 8 12 6 7 -> 3 1 11 6 7 11 8 0 12 6 6 8 12 8 0 1 11 6 7 , 11 8 12 7 4 14 12 13 10 4 10 3 1 2 11 8 12 6 7 -> 2 11 8 0 12 7 3 12 8 9 10 2 11 7 4 15 5 6 7 , 11 13 5 13 10 2 3 1 4 14 1 3 0 0 12 6 13 5 7 -> 3 9 14 1 4 14 12 13 5 8 12 7 2 11 7 3 9 5 7 , 11 13 5 8 9 5 8 9 15 10 4 14 9 14 0 12 13 5 7 -> 11 13 15 15 14 9 5 13 5 8 9 14 0 9 10 11 6 8 1 , 11 7 11 8 0 9 14 12 8 9 10 4 5 7 4 15 15 5 7 -> 11 6 6 7 4 14 9 15 5 8 9 15 15 14 0 1 11 7 2 , 3 12 8 12 7 2 3 0 1 4 10 2 4 10 3 0 9 5 7 -> 3 9 10 3 12 8 9 14 0 1 2 2 2 11 7 3 9 5 7 , 4 10 4 10 4 10 3 1 2 2 4 15 14 12 7 3 9 5 7 -> 4 15 15 14 1 11 7 2 11 7 2 4 15 10 3 1 4 14 1 , 4 10 4 5 8 9 10 3 1 2 2 4 10 2 2 3 9 5 7 -> 4 14 9 10 3 1 4 10 11 7 4 15 10 2 2 11 7 3 1 , 2 2 2 3 1 4 5 6 8 0 1 4 15 10 3 1 4 5 7 -> 2 4 14 1 3 1 4 14 9 5 6 13 10 2 2 11 7 3 1 , 2 11 7 2 2 2 3 12 7 11 13 5 6 6 13 5 8 12 7 -> 2 2 11 6 7 3 12 13 15 5 8 1 2 11 6 6 7 11 7 , 11 6 13 5 7 3 0 12 8 1 11 6 13 10 4 5 8 12 7 -> 11 7 11 6 6 13 10 11 6 8 0 0 9 14 1 11 6 13 10 , 2 11 8 9 5 8 12 8 12 13 5 7 11 8 12 13 14 12 7 -> 11 6 6 13 14 1 11 6 7 11 8 9 14 12 8 9 14 12 7 , 2 2 2 2 2 2 3 1 4 5 6 6 8 0 9 15 10 11 7 -> 2 2 3 9 10 11 13 15 14 1 11 6 7 2 3 1 11 7 2 , 3 9 5 7 3 1 3 1 11 7 4 14 12 13 14 9 10 11 7 -> 3 9 14 12 13 10 11 7 3 9 14 9 10 11 7 3 12 7 2 , 4 5 13 15 14 1 3 9 5 6 13 5 6 13 10 3 1 11 7 -> 4 10 11 13 15 5 8 0 9 14 12 6 13 15 10 11 6 7 2 , 2 2 3 1 4 10 4 14 12 6 8 1 4 10 3 1 2 11 7 -> 2 2 2 11 7 11 7 4 10 4 14 9 5 8 1 3 0 1 2 , 4 14 1 4 10 3 0 9 10 2 4 14 12 7 11 6 6 13 10 -> 4 14 12 13 10 3 0 12 13 10 11 7 11 7 2 4 14 9 10 , 11 8 0 9 14 0 0 9 5 7 3 9 5 6 6 8 12 13 10 -> 2 11 6 8 9 14 0 0 0 12 6 13 15 5 6 8 0 9 10 , 4 10 2 4 15 5 7 3 12 13 5 7 2 3 9 14 12 13 10 -> 4 10 11 8 0 1 11 13 10 11 7 11 7 4 15 15 14 9 10 , 3 12 6 13 14 1 11 13 15 5 13 5 8 12 6 6 13 15 10 -> 3 12 6 13 15 5 6 6 6 7 3 12 6 13 15 14 9 15 10 , 3 0 12 7 11 8 9 14 1 4 5 6 8 9 10 11 13 15 10 -> 3 9 15 5 6 6 7 3 1 11 6 13 14 1 3 0 9 15 10 , 3 9 10 3 1 11 7 2 4 5 6 7 4 10 11 8 0 9 10 -> 3 9 14 9 10 11 13 10 11 8 12 7 2 2 2 3 12 13 10 , 2 11 8 1 4 14 12 7 4 14 1 2 11 8 0 0 0 9 10 -> 2 2 2 2 11 6 8 0 1 3 12 8 9 14 9 14 0 9 10 , 11 7 3 1 4 15 15 15 10 3 9 10 11 13 5 7 3 9 10 -> 11 7 4 15 10 11 8 9 14 1 2 11 7 4 15 14 9 15 10 , 3 1 4 14 0 0 1 3 1 4 14 0 1 11 8 12 7 4 10 -> 3 0 0 12 6 8 1 4 14 1 2 2 3 0 9 14 1 4 10 , 11 13 15 10 4 14 9 5 7 4 14 9 15 15 10 4 10 4 10 -> 2 4 15 15 15 15 14 9 5 7 3 1 2 4 15 15 5 13 10 , 3 12 13 14 0 0 12 13 10 4 5 6 6 8 1 4 10 4 10 -> 3 12 7 3 0 9 5 13 5 7 2 11 8 0 9 15 5 13 10 , 2 11 8 0 9 14 12 7 4 10 4 15 10 11 8 0 1 4 10 -> 2 3 9 14 0 1 11 7 11 7 2 3 9 5 13 14 9 15 10 , 2 11 7 4 15 15 10 3 12 13 5 7 4 10 4 10 2 4 10 -> 2 4 10 2 4 15 5 7 2 2 11 6 7 4 14 9 15 15 10 , 2 4 5 8 0 0 0 0 9 15 15 10 4 15 5 6 6 8 1 -> 11 7 4 14 0 9 15 15 15 14 0 1 11 6 8 9 5 8 1 , 2 11 8 12 8 0 0 12 6 13 14 1 4 10 4 5 6 8 1 -> 2 2 4 14 0 9 5 6 7 11 6 13 14 12 8 0 0 12 7 , 3 9 14 9 15 15 15 10 2 3 0 0 0 9 5 13 5 8 1 -> 3 9 14 9 15 14 0 1 2 11 13 14 9 15 15 14 0 12 7 , 4 15 10 11 13 10 11 13 15 14 0 12 6 7 11 8 12 8 1 -> 4 5 13 14 1 11 13 5 13 5 13 14 0 1 2 11 6 8 1 , 3 12 8 12 6 8 1 11 7 3 1 11 13 10 3 0 12 8 1 -> 3 12 8 0 0 9 5 8 1 11 7 2 11 7 3 12 6 8 1 , 11 6 8 0 12 7 4 14 12 8 9 10 4 5 6 7 11 8 1 -> 11 7 11 6 6 8 9 14 0 9 14 9 14 1 11 7 11 6 7 , 4 15 15 14 0 12 13 10 3 12 13 14 1 11 13 10 11 8 1 -> 4 15 14 12 7 4 10 2 11 6 13 15 5 8 0 0 9 14 1 , 3 12 7 4 10 3 9 14 0 0 0 9 10 4 10 11 13 14 1 -> 4 15 14 0 1 11 13 14 0 9 10 11 8 9 14 1 2 3 1 , 3 12 7 2 4 15 15 10 3 1 3 0 12 7 4 14 9 14 1 -> 4 14 9 10 11 6 7 2 3 1 3 9 14 1 4 14 9 14 1 , 3 9 10 3 9 5 6 8 1 4 5 8 0 0 0 0 9 14 1 -> 3 9 14 0 0 0 0 9 5 7 2 11 6 13 14 0 9 14 1 , 2 2 4 10 3 1 2 2 3 0 12 8 1 4 10 3 9 14 1 -> 2 2 3 9 10 2 11 13 14 1 3 1 4 14 0 1 2 3 1 , 3 9 14 12 6 13 10 4 10 4 15 14 0 12 6 7 4 14 1 -> 3 0 1 2 2 3 9 15 5 6 13 14 9 5 13 14 9 5 7 , 11 8 9 5 7 3 0 0 12 13 10 4 5 7 11 6 8 0 1 -> 2 3 12 13 5 13 14 12 8 12 13 14 1 3 1 11 8 12 7 , 4 5 13 15 15 14 0 0 9 14 12 6 7 4 10 4 14 0 1 -> 4 14 9 5 13 14 9 15 14 12 8 9 15 10 2 3 0 12 7 , 2 2 3 0 0 0 9 5 7 4 14 12 6 7 2 4 14 0 1 -> 2 2 2 3 1 4 15 14 0 1 11 13 14 12 8 0 12 8 1 , 2 2 3 1 4 14 0 0 9 10 4 5 8 1 3 0 0 0 1 -> 2 2 2 2 3 0 0 0 12 13 14 0 9 14 0 9 10 3 1 , 2 3 9 14 0 9 14 1 2 4 14 1 4 5 7 3 0 0 1 -> 2 2 4 14 9 10 11 8 0 1 3 1 3 9 15 14 0 0 1 , 3 0 0 9 5 8 0 9 5 8 9 10 4 15 15 10 3 0 1 -> 3 9 5 8 9 5 8 0 1 3 9 15 10 4 14 9 14 0 1 , 3 12 13 5 6 13 15 15 10 3 12 13 10 3 0 1 3 0 1 -> 3 1 11 13 14 0 9 15 5 7 2 11 8 0 9 15 14 12 7 , 2 3 1 4 10 11 8 12 7 11 7 2 4 10 4 5 7 3 1 -> 11 8 9 15 10 2 2 2 11 7 4 14 1 2 2 11 8 12 7 , 2 2 3 12 13 14 1 4 5 7 4 5 8 9 10 3 1 3 1 -> 2 2 3 12 13 10 2 2 4 14 0 9 14 0 12 13 10 11 7 , 2 11 6 6 7 4 10 2 11 6 6 7 11 13 14 1 2 3 1 -> 2 2 4 14 12 6 6 6 7 2 2 11 7 11 7 11 13 14 1 , 3 12 7 4 5 6 8 0 0 12 8 1 11 8 12 6 6 7 2 -> 3 12 8 12 7 11 6 8 12 8 1 11 7 3 9 14 12 6 7 , 2 2 2 3 12 8 1 2 2 4 10 4 14 0 0 12 6 7 2 -> 2 2 11 8 1 2 2 11 7 3 12 7 2 3 9 14 9 14 1 , 3 1 3 1 11 13 5 6 8 12 8 12 7 4 10 11 6 7 2 -> 3 12 13 10 3 9 5 8 1 11 6 6 7 2 3 1 11 6 7 , 4 15 15 15 10 3 9 5 7 4 15 14 12 13 14 9 5 7 2 -> 4 5 13 5 7 3 0 9 15 15 14 9 5 13 15 15 10 2 2 , 3 12 13 10 3 0 0 12 8 12 6 8 9 5 8 0 12 7 2 -> 3 12 6 8 12 8 9 14 0 1 11 6 7 3 0 9 14 12 7 , 2 3 1 4 5 8 1 2 3 0 1 3 0 1 3 0 12 7 2 -> 2 3 0 1 11 8 0 0 1 3 0 1 2 4 14 1 2 11 7 , 11 7 11 7 2 3 1 4 5 6 6 8 12 8 0 1 11 7 2 -> 11 7 2 2 11 7 11 8 12 7 11 8 0 9 5 8 12 7 2 , 4 5 6 8 12 8 12 8 9 5 6 6 6 7 11 6 13 10 2 -> 4 14 9 15 14 12 7 11 6 6 6 8 12 6 6 6 6 7 2 , 4 10 4 10 3 12 6 7 3 1 2 2 4 10 4 15 15 10 2 -> 4 10 2 4 15 15 10 2 2 11 13 5 7 3 0 9 10 2 2 , 4 10 2 4 14 0 0 12 6 8 1 4 15 15 15 10 4 10 2 -> 4 10 2 4 15 14 9 10 3 0 0 12 13 15 10 11 13 10 2 , 4 10 11 13 10 3 1 4 14 0 9 10 4 15 14 1 4 10 2 -> 4 15 10 3 1 2 4 14 0 9 15 5 8 9 10 2 4 10 2 , 2 2 3 12 7 11 8 12 8 1 11 13 10 4 14 1 4 10 2 -> 11 7 2 2 4 14 1 11 7 2 2 11 13 14 9 5 8 0 1 , 11 6 7 2 3 1 4 5 13 15 10 2 3 12 6 6 8 1 2 -> 11 6 6 7 2 3 9 5 13 10 11 7 2 3 9 14 12 7 2 , 3 12 8 12 7 4 14 12 7 2 3 0 0 9 10 4 14 1 2 -> 11 13 14 9 14 1 11 13 14 0 12 8 0 1 3 1 2 2 2 , 4 15 14 0 9 10 4 5 8 9 15 10 3 0 9 14 0 1 2 -> 4 14 12 8 9 15 14 0 1 3 1 4 14 0 9 15 15 10 2 , 4 14 12 7 3 1 4 14 1 4 5 7 3 1 3 0 0 1 2 -> 4 14 0 0 0 0 1 2 2 2 4 14 9 14 1 2 11 6 7 , 2 3 12 7 4 15 15 5 6 6 8 0 0 0 12 7 3 1 2 -> 11 8 9 14 1 11 13 14 12 8 9 10 11 8 1 3 12 7 2 , 2 2 11 8 0 12 7 3 12 8 9 5 8 12 8 12 7 2 2 -> 2 11 8 9 14 0 0 1 11 7 11 6 6 8 1 11 8 1 2 , 2 11 8 0 1 4 14 9 10 2 2 4 5 7 3 12 7 2 2 -> 2 11 7 2 3 1 3 1 2 2 11 8 9 5 13 15 10 3 1 , 3 1 4 14 0 12 6 6 8 0 0 12 6 13 10 11 7 2 2 -> 3 0 12 6 6 7 11 8 0 9 14 9 10 2 11 8 1 11 7 , 2 2 4 10 2 4 10 11 7 2 3 12 13 5 6 8 1 2 2 -> 2 2 2 2 11 7 2 4 10 3 0 12 13 15 10 2 11 6 7 , 3 12 6 7 2 3 12 6 8 1 4 5 6 7 4 14 1 2 2 -> 3 0 0 1 11 7 4 10 11 8 9 5 7 11 7 11 6 7 2 , 3 0 12 8 12 7 4 10 11 6 8 12 8 1 4 14 1 2 2 -> 3 1 11 6 6 7 11 7 2 3 9 14 0 0 1 4 5 8 1 , 2 3 9 5 7 4 5 8 1 2 11 7 4 10 4 10 2 2 2 -> 11 6 8 9 10 11 7 3 1 2 2 4 10 4 15 10 2 2 2 , 3 0 0 1 2 11 7 3 9 10 3 0 12 7 3 1 2 2 2 -> 3 1 2 4 14 1 3 0 1 2 2 11 8 0 0 1 11 7 2 , 2 3 9 5 7 ->= 2 3 9 5 7 , 3 1 2 3 0 1 4 5 6 7 3 0 1 2 4 5 6 6 13 -> 3 0 0 9 10 2 3 9 5 6 7 11 7 11 7 3 12 7 4 , 3 0 9 10 11 13 5 6 6 13 5 6 7 3 0 12 6 6 13 -> 3 12 6 8 9 5 6 13 14 12 7 4 5 8 1 11 6 6 13 , 4 15 15 14 0 9 5 6 7 2 4 5 6 13 10 4 5 6 13 -> 4 15 15 15 15 10 4 14 12 13 5 6 6 6 8 12 7 2 4 , 3 9 10 2 3 12 8 0 1 3 12 7 4 15 5 8 12 6 13 -> 3 0 0 9 14 0 1 11 7 4 10 11 6 13 14 1 11 6 13 , 3 12 6 7 3 12 6 8 12 7 3 0 12 7 11 8 12 6 13 -> 3 1 11 6 7 11 8 0 12 6 6 8 12 8 0 1 11 6 13 , 11 8 12 7 4 14 12 13 10 4 10 3 1 2 11 8 12 6 13 -> 2 11 8 0 12 7 3 12 8 9 10 2 11 7 4 15 5 6 13 , 11 13 5 13 10 2 3 1 4 14 1 3 0 0 12 6 13 5 13 -> 3 9 14 1 4 14 12 13 5 8 12 7 2 11 7 3 9 5 13 , 11 13 5 8 9 5 8 9 15 10 4 14 9 14 0 12 13 5 13 -> 11 13 15 15 14 9 5 13 5 8 9 14 0 9 10 11 6 8 9 , 11 7 11 8 0 9 14 12 8 9 10 4 5 7 4 15 15 5 13 -> 11 6 6 7 4 14 9 15 5 8 9 15 15 14 0 1 11 7 4 , 3 12 8 12 7 2 3 0 1 4 10 2 4 10 3 0 9 5 13 -> 3 9 10 3 12 8 9 14 0 1 2 2 2 11 7 3 9 5 13 , 4 10 4 10 4 10 3 1 2 2 4 15 14 12 7 3 9 5 13 -> 4 15 15 14 1 11 7 2 11 7 2 4 15 10 3 1 4 14 9 , 4 10 4 5 8 9 10 3 1 2 2 4 10 2 2 3 9 5 13 -> 4 14 9 10 3 1 4 10 11 7 4 15 10 2 2 11 7 3 9 , 2 2 2 3 1 4 5 6 8 0 1 4 15 10 3 1 4 5 13 -> 2 4 14 1 3 1 4 14 9 5 6 13 10 2 2 11 7 3 9 , 2 11 7 2 2 2 3 12 7 11 13 5 6 6 13 5 8 12 13 -> 2 2 11 6 7 3 12 13 15 5 8 1 2 11 6 6 7 11 13 , 11 6 13 5 7 3 0 12 8 1 11 6 13 10 4 5 8 12 13 -> 11 7 11 6 6 13 10 11 6 8 0 0 9 14 1 11 6 13 15 , 2 11 8 9 5 8 12 8 12 13 5 7 11 8 12 13 14 12 13 -> 11 6 6 13 14 1 11 6 7 11 8 9 14 12 8 9 14 12 13 , 2 2 2 2 2 2 3 1 4 5 6 6 8 0 9 15 10 11 13 -> 2 2 3 9 10 11 13 15 14 1 11 6 7 2 3 1 11 7 4 , 3 9 5 7 3 1 3 1 11 7 4 14 12 13 14 9 10 11 13 -> 3 9 14 12 13 10 11 7 3 9 14 9 10 11 7 3 12 7 4 , 4 5 13 15 14 1 3 9 5 6 13 5 6 13 10 3 1 11 13 -> 4 10 11 13 15 5 8 0 9 14 12 6 13 15 10 11 6 7 4 , 2 2 3 1 4 10 4 14 12 6 8 1 4 10 3 1 2 11 13 -> 2 2 2 11 7 11 7 4 10 4 14 9 5 8 1 3 0 1 4 , 4 14 1 4 10 3 0 9 10 2 4 14 12 7 11 6 6 13 15 -> 4 14 12 13 10 3 0 12 13 10 11 7 11 7 2 4 14 9 15 , 11 8 0 9 14 0 0 9 5 7 3 9 5 6 6 8 12 13 15 -> 2 11 6 8 9 14 0 0 0 12 6 13 15 5 6 8 0 9 15 , 4 10 2 4 15 5 7 3 12 13 5 7 2 3 9 14 12 13 15 -> 4 10 11 8 0 1 11 13 10 11 7 11 7 4 15 15 14 9 15 , 3 12 6 13 14 1 11 13 15 5 13 5 8 12 6 6 13 15 15 -> 3 12 6 13 15 5 6 6 6 7 3 12 6 13 15 14 9 15 15 , 3 0 12 7 11 8 9 14 1 4 5 6 8 9 10 11 13 15 15 -> 3 9 15 5 6 6 7 3 1 11 6 13 14 1 3 0 9 15 15 , 3 9 10 3 1 11 7 2 4 5 6 7 4 10 11 8 0 9 15 -> 3 9 14 9 10 11 13 10 11 8 12 7 2 2 2 3 12 13 15 , 2 11 8 1 4 14 12 7 4 14 1 2 11 8 0 0 0 9 15 -> 2 2 2 2 11 6 8 0 1 3 12 8 9 14 9 14 0 9 15 , 11 7 3 1 4 15 15 15 10 3 9 10 11 13 5 7 3 9 15 -> 11 7 4 15 10 11 8 9 14 1 2 11 7 4 15 14 9 15 15 , 3 1 4 14 0 0 1 3 1 4 14 0 1 11 8 12 7 4 15 -> 3 0 0 12 6 8 1 4 14 1 2 2 3 0 9 14 1 4 15 , 11 13 15 10 4 14 9 5 7 4 14 9 15 15 10 4 10 4 15 -> 2 4 15 15 15 15 14 9 5 7 3 1 2 4 15 15 5 13 15 , 3 12 13 14 0 0 12 13 10 4 5 6 6 8 1 4 10 4 15 -> 3 12 7 3 0 9 5 13 5 7 2 11 8 0 9 15 5 13 15 , 2 11 8 0 9 14 12 7 4 10 4 15 10 11 8 0 1 4 15 -> 2 3 9 14 0 1 11 7 11 7 2 3 9 5 13 14 9 15 15 , 2 11 7 4 15 15 10 3 12 13 5 7 4 10 4 10 2 4 15 -> 2 4 10 2 4 15 5 7 2 2 11 6 7 4 14 9 15 15 15 , 2 4 5 8 0 0 0 0 9 15 15 10 4 15 5 6 6 8 9 -> 11 7 4 14 0 9 15 15 15 14 0 1 11 6 8 9 5 8 9 , 2 11 8 12 8 0 0 12 6 13 14 1 4 10 4 5 6 8 9 -> 2 2 4 14 0 9 5 6 7 11 6 13 14 12 8 0 0 12 13 , 3 9 14 9 15 15 15 10 2 3 0 0 0 9 5 13 5 8 9 -> 3 9 14 9 15 14 0 1 2 11 13 14 9 15 15 14 0 12 13 , 4 15 10 11 13 10 11 13 15 14 0 12 6 7 11 8 12 8 9 -> 4 5 13 14 1 11 13 5 13 5 13 14 0 1 2 11 6 8 9 , 3 12 8 12 6 8 1 11 7 3 1 11 13 10 3 0 12 8 9 -> 3 12 8 0 0 9 5 8 1 11 7 2 11 7 3 12 6 8 9 , 11 6 8 0 12 7 4 14 12 8 9 10 4 5 6 7 11 8 9 -> 11 7 11 6 6 8 9 14 0 9 14 9 14 1 11 7 11 6 13 , 4 15 15 14 0 12 13 10 3 12 13 14 1 11 13 10 11 8 9 -> 4 15 14 12 7 4 10 2 11 6 13 15 5 8 0 0 9 14 9 , 3 12 7 4 10 3 9 14 0 0 0 9 10 4 10 11 13 14 9 -> 4 15 14 0 1 11 13 14 0 9 10 11 8 9 14 1 2 3 9 , 3 12 7 2 4 15 15 10 3 1 3 0 12 7 4 14 9 14 9 -> 4 14 9 10 11 6 7 2 3 1 3 9 14 1 4 14 9 14 9 , 3 9 10 3 9 5 6 8 1 4 5 8 0 0 0 0 9 14 9 -> 3 9 14 0 0 0 0 9 5 7 2 11 6 13 14 0 9 14 9 , 2 2 4 10 3 1 2 2 3 0 12 8 1 4 10 3 9 14 9 -> 2 2 3 9 10 2 11 13 14 1 3 1 4 14 0 1 2 3 9 , 3 9 14 12 6 13 10 4 10 4 15 14 0 12 6 7 4 14 9 -> 3 0 1 2 2 3 9 15 5 6 13 14 9 5 13 14 9 5 13 , 11 8 9 5 7 3 0 0 12 13 10 4 5 7 11 6 8 0 9 -> 2 3 12 13 5 13 14 12 8 12 13 14 1 3 1 11 8 12 13 , 4 5 13 15 15 14 0 0 9 14 12 6 7 4 10 4 14 0 9 -> 4 14 9 5 13 14 9 15 14 12 8 9 15 10 2 3 0 12 13 , 2 2 3 0 0 0 9 5 7 4 14 12 6 7 2 4 14 0 9 -> 2 2 2 3 1 4 15 14 0 1 11 13 14 12 8 0 12 8 9 , 2 2 3 1 4 14 0 0 9 10 4 5 8 1 3 0 0 0 9 -> 2 2 2 2 3 0 0 0 12 13 14 0 9 14 0 9 10 3 9 , 2 3 9 14 0 9 14 1 2 4 14 1 4 5 7 3 0 0 9 -> 2 2 4 14 9 10 11 8 0 1 3 1 3 9 15 14 0 0 9 , 3 0 0 9 5 8 0 9 5 8 9 10 4 15 15 10 3 0 9 -> 3 9 5 8 9 5 8 0 1 3 9 15 10 4 14 9 14 0 9 , 3 12 13 5 6 13 15 15 10 3 12 13 10 3 0 1 3 0 9 -> 3 1 11 13 14 0 9 15 5 7 2 11 8 0 9 15 14 12 13 , 2 3 1 4 10 11 8 12 7 11 7 2 4 10 4 5 7 3 9 -> 11 8 9 15 10 2 2 2 11 7 4 14 1 2 2 11 8 12 13 , 2 2 3 12 13 14 1 4 5 7 4 5 8 9 10 3 1 3 9 -> 2 2 3 12 13 10 2 2 4 14 0 9 14 0 12 13 10 11 13 , 2 11 6 6 7 4 10 2 11 6 6 7 11 13 14 1 2 3 9 -> 2 2 4 14 12 6 6 6 7 2 2 11 7 11 7 11 13 14 9 , 3 12 7 4 5 6 8 0 0 12 8 1 11 8 12 6 6 7 4 -> 3 12 8 12 7 11 6 8 12 8 1 11 7 3 9 14 12 6 13 , 2 2 2 3 12 8 1 2 2 4 10 4 14 0 0 12 6 7 4 -> 2 2 11 8 1 2 2 11 7 3 12 7 2 3 9 14 9 14 9 , 3 1 3 1 11 13 5 6 8 12 8 12 7 4 10 11 6 7 4 -> 3 12 13 10 3 9 5 8 1 11 6 6 7 2 3 1 11 6 13 , 4 15 15 15 10 3 9 5 7 4 15 14 12 13 14 9 5 7 4 -> 4 5 13 5 7 3 0 9 15 15 14 9 5 13 15 15 10 2 4 , 3 12 13 10 3 0 0 12 8 12 6 8 9 5 8 0 12 7 4 -> 3 12 6 8 12 8 9 14 0 1 11 6 7 3 0 9 14 12 13 , 2 3 1 4 5 8 1 2 3 0 1 3 0 1 3 0 12 7 4 -> 2 3 0 1 11 8 0 0 1 3 0 1 2 4 14 1 2 11 13 , 11 7 11 7 2 3 1 4 5 6 6 8 12 8 0 1 11 7 4 -> 11 7 2 2 11 7 11 8 12 7 11 8 0 9 5 8 12 7 4 , 4 5 6 8 12 8 12 8 9 5 6 6 6 7 11 6 13 10 4 -> 4 14 9 15 14 12 7 11 6 6 6 8 12 6 6 6 6 7 4 , 4 10 4 10 3 12 6 7 3 1 2 2 4 10 4 15 15 10 4 -> 4 10 2 4 15 15 10 2 2 11 13 5 7 3 0 9 10 2 4 , 4 10 2 4 14 0 0 12 6 8 1 4 15 15 15 10 4 10 4 -> 4 10 2 4 15 14 9 10 3 0 0 12 13 15 10 11 13 10 4 , 4 10 11 13 10 3 1 4 14 0 9 10 4 15 14 1 4 10 4 -> 4 15 10 3 1 2 4 14 0 9 15 5 8 9 10 2 4 10 4 , 2 2 3 12 7 11 8 12 8 1 11 13 10 4 14 1 4 10 4 -> 11 7 2 2 4 14 1 11 7 2 2 11 13 14 9 5 8 0 9 , 11 6 7 2 3 1 4 5 13 15 10 2 3 12 6 6 8 1 4 -> 11 6 6 7 2 3 9 5 13 10 11 7 2 3 9 14 12 7 4 , 3 12 8 12 7 4 14 12 7 2 3 0 0 9 10 4 14 1 4 -> 11 13 14 9 14 1 11 13 14 0 12 8 0 1 3 1 2 2 4 , 4 15 14 0 9 10 4 5 8 9 15 10 3 0 9 14 0 1 4 -> 4 14 12 8 9 15 14 0 1 3 1 4 14 0 9 15 15 10 4 , 4 14 12 7 3 1 4 14 1 4 5 7 3 1 3 0 0 1 4 -> 4 14 0 0 0 0 1 2 2 2 4 14 9 14 1 2 11 6 13 , 2 3 12 7 4 15 15 5 6 6 8 0 0 0 12 7 3 1 4 -> 11 8 9 14 1 11 13 14 12 8 9 10 11 8 1 3 12 7 4 , 2 2 11 8 0 12 7 3 12 8 9 5 8 12 8 12 7 2 4 -> 2 11 8 9 14 0 0 1 11 7 11 6 6 8 1 11 8 1 4 , 2 11 8 0 1 4 14 9 10 2 2 4 5 7 3 12 7 2 4 -> 2 11 7 2 3 1 3 1 2 2 11 8 9 5 13 15 10 3 9 , 3 1 4 14 0 12 6 6 8 0 0 12 6 13 10 11 7 2 4 -> 3 0 12 6 6 7 11 8 0 9 14 9 10 2 11 8 1 11 13 , 2 2 4 10 2 4 10 11 7 2 3 12 13 5 6 8 1 2 4 -> 2 2 2 2 11 7 2 4 10 3 0 12 13 15 10 2 11 6 13 , 3 12 6 7 2 3 12 6 8 1 4 5 6 7 4 14 1 2 4 -> 3 0 0 1 11 7 4 10 11 8 9 5 7 11 7 11 6 7 4 , 3 0 12 8 12 7 4 10 11 6 8 12 8 1 4 14 1 2 4 -> 3 1 11 6 6 7 11 7 2 3 9 14 0 0 1 4 5 8 9 , 2 3 9 5 7 4 5 8 1 2 11 7 4 10 4 10 2 2 4 -> 11 6 8 9 10 11 7 3 1 2 2 4 10 4 15 10 2 2 4 , 3 0 0 1 2 11 7 3 9 10 3 0 12 7 3 1 2 2 4 -> 3 1 2 4 14 1 3 0 1 2 2 11 8 0 0 1 11 7 4 , 2 3 9 5 13 ->= 2 3 9 5 13 , 3 1 2 3 0 1 4 5 6 7 3 0 1 2 4 5 6 6 6 -> 3 0 0 9 10 2 3 9 5 6 7 11 7 11 7 3 12 7 11 , 3 0 9 10 11 13 5 6 6 13 5 6 7 3 0 12 6 6 6 -> 3 12 6 8 9 5 6 13 14 12 7 4 5 8 1 11 6 6 6 , 4 15 15 14 0 9 5 6 7 2 4 5 6 13 10 4 5 6 6 -> 4 15 15 15 15 10 4 14 12 13 5 6 6 6 8 12 7 2 11 , 3 9 10 2 3 12 8 0 1 3 12 7 4 15 5 8 12 6 6 -> 3 0 0 9 14 0 1 11 7 4 10 11 6 13 14 1 11 6 6 , 3 12 6 7 3 12 6 8 12 7 3 0 12 7 11 8 12 6 6 -> 3 1 11 6 7 11 8 0 12 6 6 8 12 8 0 1 11 6 6 , 11 8 12 7 4 14 12 13 10 4 10 3 1 2 11 8 12 6 6 -> 2 11 8 0 12 7 3 12 8 9 10 2 11 7 4 15 5 6 6 , 11 13 5 13 10 2 3 1 4 14 1 3 0 0 12 6 13 5 6 -> 3 9 14 1 4 14 12 13 5 8 12 7 2 11 7 3 9 5 6 , 11 13 5 8 9 5 8 9 15 10 4 14 9 14 0 12 13 5 6 -> 11 13 15 15 14 9 5 13 5 8 9 14 0 9 10 11 6 8 12 , 11 7 11 8 0 9 14 12 8 9 10 4 5 7 4 15 15 5 6 -> 11 6 6 7 4 14 9 15 5 8 9 15 15 14 0 1 11 7 11 , 3 12 8 12 7 2 3 0 1 4 10 2 4 10 3 0 9 5 6 -> 3 9 10 3 12 8 9 14 0 1 2 2 2 11 7 3 9 5 6 , 4 10 4 10 4 10 3 1 2 2 4 15 14 12 7 3 9 5 6 -> 4 15 15 14 1 11 7 2 11 7 2 4 15 10 3 1 4 14 12 , 4 10 4 5 8 9 10 3 1 2 2 4 10 2 2 3 9 5 6 -> 4 14 9 10 3 1 4 10 11 7 4 15 10 2 2 11 7 3 12 , 2 2 2 3 1 4 5 6 8 0 1 4 15 10 3 1 4 5 6 -> 2 4 14 1 3 1 4 14 9 5 6 13 10 2 2 11 7 3 12 , 2 11 7 2 2 2 3 12 7 11 13 5 6 6 13 5 8 12 6 -> 2 2 11 6 7 3 12 13 15 5 8 1 2 11 6 6 7 11 6 , 11 6 13 5 7 3 0 12 8 1 11 6 13 10 4 5 8 12 6 -> 11 7 11 6 6 13 10 11 6 8 0 0 9 14 1 11 6 13 5 , 2 11 8 9 5 8 12 8 12 13 5 7 11 8 12 13 14 12 6 -> 11 6 6 13 14 1 11 6 7 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14 1 2 11 8 0 0 0 9 5 -> 2 2 2 2 11 6 8 0 1 3 12 8 9 14 9 14 0 9 5 , 11 7 3 1 4 15 15 15 10 3 9 10 11 13 5 7 3 9 5 -> 11 7 4 15 10 11 8 9 14 1 2 11 7 4 15 14 9 15 5 , 3 1 4 14 0 0 1 3 1 4 14 0 1 11 8 12 7 4 5 -> 3 0 0 12 6 8 1 4 14 1 2 2 3 0 9 14 1 4 5 , 11 13 15 10 4 14 9 5 7 4 14 9 15 15 10 4 10 4 5 -> 2 4 15 15 15 15 14 9 5 7 3 1 2 4 15 15 5 13 5 , 3 12 13 14 0 0 12 13 10 4 5 6 6 8 1 4 10 4 5 -> 3 12 7 3 0 9 5 13 5 7 2 11 8 0 9 15 5 13 5 , 2 11 8 0 9 14 12 7 4 10 4 15 10 11 8 0 1 4 5 -> 2 3 9 14 0 1 11 7 11 7 2 3 9 5 13 14 9 15 5 , 2 11 7 4 15 15 10 3 12 13 5 7 4 10 4 10 2 4 5 -> 2 4 10 2 4 15 5 7 2 2 11 6 7 4 14 9 15 15 5 , 2 4 5 8 0 0 0 0 9 15 15 10 4 15 5 6 6 8 12 -> 11 7 4 14 0 9 15 15 15 14 0 1 11 6 8 9 5 8 12 , 2 11 8 12 8 0 0 12 6 13 14 1 4 10 4 5 6 8 12 -> 2 2 4 14 0 9 5 6 7 11 6 13 14 12 8 0 0 12 6 , 3 9 14 9 15 15 15 10 2 3 0 0 0 9 5 13 5 8 12 -> 3 9 14 9 15 14 0 1 2 11 13 14 9 15 15 14 0 12 6 , 4 15 10 11 13 10 11 13 15 14 0 12 6 7 11 8 12 8 12 -> 4 5 13 14 1 11 13 5 13 5 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1 2 11 7 3 9 10 3 0 12 7 3 1 2 2 11 -> 3 1 2 4 14 1 3 0 1 2 2 11 8 0 0 1 11 7 11 , 2 3 9 5 6 ->= 2 3 9 5 6 , 14 1 2 3 0 1 4 5 6 7 3 0 1 2 4 5 6 6 8 -> 14 0 0 9 10 2 3 9 5 6 7 11 7 11 7 3 12 7 3 , 14 0 9 10 11 13 5 6 6 13 5 6 7 3 0 12 6 6 8 -> 14 12 6 8 9 5 6 13 14 12 7 4 5 8 1 11 6 6 8 , 15 15 15 14 0 9 5 6 7 2 4 5 6 13 10 4 5 6 8 -> 15 15 15 15 15 10 4 14 12 13 5 6 6 6 8 12 7 2 3 , 14 9 10 2 3 12 8 0 1 3 12 7 4 15 5 8 12 6 8 -> 14 0 0 9 14 0 1 11 7 4 10 11 6 13 14 1 11 6 8 , 14 12 6 7 3 12 6 8 12 7 3 0 12 7 11 8 12 6 8 -> 14 1 11 6 7 11 8 0 12 6 6 8 12 8 0 1 11 6 8 , 5 8 12 7 4 14 12 13 10 4 10 3 1 2 11 8 12 6 8 -> 10 11 8 0 12 7 3 12 8 9 10 2 11 7 4 15 5 6 8 , 5 13 5 13 10 2 3 1 4 14 1 3 0 0 12 6 13 5 8 -> 14 9 14 1 4 14 12 13 5 8 12 7 2 11 7 3 9 5 8 , 5 13 5 8 9 5 8 9 15 10 4 14 9 14 0 12 13 5 8 -> 5 13 15 15 14 9 5 13 5 8 9 14 0 9 10 11 6 8 0 , 5 7 11 8 0 9 14 12 8 9 10 4 5 7 4 15 15 5 8 -> 5 6 6 7 4 14 9 15 5 8 9 15 15 14 0 1 11 7 3 , 14 12 8 12 7 2 3 0 1 4 10 2 4 10 3 0 9 5 8 -> 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2 11 6 7 3 12 13 15 5 8 1 2 11 6 6 7 11 7 , 5 6 13 5 7 3 0 12 8 1 11 6 13 10 4 5 8 12 7 -> 5 7 11 6 6 13 10 11 6 8 0 0 9 14 1 11 6 13 10 , 10 11 8 9 5 8 12 8 12 13 5 7 11 8 12 13 14 12 7 -> 5 6 6 13 14 1 11 6 7 11 8 9 14 12 8 9 14 12 7 , 10 2 2 2 2 2 3 1 4 5 6 6 8 0 9 15 10 11 7 -> 10 2 3 9 10 11 13 15 14 1 11 6 7 2 3 1 11 7 2 , 14 9 5 7 3 1 3 1 11 7 4 14 12 13 14 9 10 11 7 -> 14 9 14 12 13 10 11 7 3 9 14 9 10 11 7 3 12 7 2 , 15 5 13 15 14 1 3 9 5 6 13 5 6 13 10 3 1 11 7 -> 15 10 11 13 15 5 8 0 9 14 12 6 13 15 10 11 6 7 2 , 10 2 3 1 4 10 4 14 12 6 8 1 4 10 3 1 2 11 7 -> 10 2 2 11 7 11 7 4 10 4 14 9 5 8 1 3 0 1 2 , 15 14 1 4 10 3 0 9 10 2 4 14 12 7 11 6 6 13 10 -> 15 14 12 13 10 3 0 12 13 10 11 7 11 7 2 4 14 9 10 , 5 8 0 9 14 0 0 9 5 7 3 9 5 6 6 8 12 13 10 -> 10 11 6 8 9 14 0 0 0 12 6 13 15 5 6 8 0 9 10 , 15 10 2 4 15 5 7 3 12 13 5 7 2 3 9 14 12 13 10 -> 15 10 11 8 0 1 11 13 10 11 7 11 7 4 15 15 14 9 10 , 14 12 6 13 14 1 11 13 15 5 13 5 8 12 6 6 13 15 10 -> 14 12 6 13 15 5 6 6 6 7 3 12 6 13 15 14 9 15 10 , 14 0 12 7 11 8 9 14 1 4 5 6 8 9 10 11 13 15 10 -> 14 9 15 5 6 6 7 3 1 11 6 13 14 1 3 0 9 15 10 , 14 9 10 3 1 11 7 2 4 5 6 7 4 10 11 8 0 9 10 -> 14 9 14 9 10 11 13 10 11 8 12 7 2 2 2 3 12 13 10 , 10 11 8 1 4 14 12 7 4 14 1 2 11 8 0 0 0 9 10 -> 10 2 2 2 11 6 8 0 1 3 12 8 9 14 9 14 0 9 10 , 5 7 3 1 4 15 15 15 10 3 9 10 11 13 5 7 3 9 10 -> 5 7 4 15 10 11 8 9 14 1 2 11 7 4 15 14 9 15 10 , 14 1 4 14 0 0 1 3 1 4 14 0 1 11 8 12 7 4 10 -> 14 0 0 12 6 8 1 4 14 1 2 2 3 0 9 14 1 4 10 , 5 13 15 10 4 14 9 5 7 4 14 9 15 15 10 4 10 4 10 -> 10 4 15 15 15 15 14 9 5 7 3 1 2 4 15 15 5 13 10 , 14 12 13 14 0 0 12 13 10 4 5 6 6 8 1 4 10 4 10 -> 14 12 7 3 0 9 5 13 5 7 2 11 8 0 9 15 5 13 10 , 10 11 8 0 9 14 12 7 4 10 4 15 10 11 8 0 1 4 10 -> 10 3 9 14 0 1 11 7 11 7 2 3 9 5 13 14 9 15 10 , 10 11 7 4 15 15 10 3 12 13 5 7 4 10 4 10 2 4 10 -> 10 4 10 2 4 15 5 7 2 2 11 6 7 4 14 9 15 15 10 , 10 4 5 8 0 0 0 0 9 15 15 10 4 15 5 6 6 8 1 -> 5 7 4 14 0 9 15 15 15 14 0 1 11 6 8 9 5 8 1 , 10 11 8 12 8 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7 4 5 6 8 0 0 12 8 1 11 8 12 6 6 7 2 -> 14 12 8 12 7 11 6 8 12 8 1 11 7 3 9 14 12 6 7 , 10 2 2 3 12 8 1 2 2 4 10 4 14 0 0 12 6 7 2 -> 10 2 11 8 1 2 2 11 7 3 12 7 2 3 9 14 9 14 1 , 14 1 3 1 11 13 5 6 8 12 8 12 7 4 10 11 6 7 2 -> 14 12 13 10 3 9 5 8 1 11 6 6 7 2 3 1 11 6 7 , 15 15 15 15 10 3 9 5 7 4 15 14 12 13 14 9 5 7 2 -> 15 5 13 5 7 3 0 9 15 15 14 9 5 13 15 15 10 2 2 , 14 12 13 10 3 0 0 12 8 12 6 8 9 5 8 0 12 7 2 -> 14 12 6 8 12 8 9 14 0 1 11 6 7 3 0 9 14 12 7 , 10 3 1 4 5 8 1 2 3 0 1 3 0 1 3 0 12 7 2 -> 10 3 0 1 11 8 0 0 1 3 0 1 2 4 14 1 2 11 7 , 5 7 11 7 2 3 1 4 5 6 6 8 12 8 0 1 11 7 2 -> 5 7 2 2 11 7 11 8 12 7 11 8 0 9 5 8 12 7 2 , 15 5 6 8 12 8 12 8 9 5 6 6 6 7 11 6 13 10 2 -> 15 14 9 15 14 12 7 11 6 6 6 8 12 6 6 6 6 7 2 , 15 10 4 10 3 12 6 7 3 1 2 2 4 10 4 15 15 10 2 -> 15 10 2 4 15 15 10 2 2 11 13 5 7 3 0 9 10 2 2 , 15 10 2 4 14 0 0 12 6 8 1 4 15 15 15 10 4 10 2 -> 15 10 2 4 15 14 9 10 3 0 0 12 13 15 10 11 13 10 2 , 15 10 11 13 10 3 1 4 14 0 9 10 4 15 14 1 4 10 2 -> 15 15 10 3 1 2 4 14 0 9 15 5 8 9 10 2 4 10 2 , 10 2 3 12 7 11 8 12 8 1 11 13 10 4 14 1 4 10 2 -> 5 7 2 2 4 14 1 11 7 2 2 11 13 14 9 5 8 0 1 , 5 6 7 2 3 1 4 5 13 15 10 2 3 12 6 6 8 1 2 -> 5 6 6 7 2 3 9 5 13 10 11 7 2 3 9 14 12 7 2 , 14 12 8 12 7 4 14 12 7 2 3 0 0 9 10 4 14 1 2 -> 5 13 14 9 14 1 11 13 14 0 12 8 0 1 3 1 2 2 2 , 15 15 14 0 9 10 4 5 8 9 15 10 3 0 9 14 0 1 2 -> 15 14 12 8 9 15 14 0 1 3 1 4 14 0 9 15 15 10 2 , 15 14 12 7 3 1 4 14 1 4 5 7 3 1 3 0 0 1 2 -> 15 14 0 0 0 0 1 2 2 2 4 14 9 14 1 2 11 6 7 , 10 3 12 7 4 15 15 5 6 6 8 0 0 0 12 7 3 1 2 -> 5 8 9 14 1 11 13 14 12 8 9 10 11 8 1 3 12 7 2 , 10 2 11 8 0 12 7 3 12 8 9 5 8 12 8 12 7 2 2 -> 10 11 8 9 14 0 0 1 11 7 11 6 6 8 1 11 8 1 2 , 10 11 8 0 1 4 14 9 10 2 2 4 5 7 3 12 7 2 2 -> 10 11 7 2 3 1 3 1 2 2 11 8 9 5 13 15 10 3 1 , 14 1 4 14 0 12 6 6 8 0 0 12 6 13 10 11 7 2 2 -> 14 0 12 6 6 7 11 8 0 9 14 9 10 2 11 8 1 11 7 , 10 2 4 10 2 4 10 11 7 2 3 12 13 5 6 8 1 2 2 -> 10 2 2 2 11 7 2 4 10 3 0 12 13 15 10 2 11 6 7 , 14 12 6 7 2 3 12 6 8 1 4 5 6 7 4 14 1 2 2 -> 14 0 0 1 11 7 4 10 11 8 9 5 7 11 7 11 6 7 2 , 14 0 12 8 12 7 4 10 11 6 8 12 8 1 4 14 1 2 2 -> 14 1 11 6 6 7 11 7 2 3 9 14 0 0 1 4 5 8 1 , 10 3 9 5 7 4 5 8 1 2 11 7 4 10 4 10 2 2 2 -> 5 6 8 9 10 11 7 3 1 2 2 4 10 4 15 10 2 2 2 , 14 0 0 1 2 11 7 3 9 10 3 0 12 7 3 1 2 2 2 -> 14 1 2 4 14 1 3 0 1 2 2 11 8 0 0 1 11 7 2 , 10 3 9 5 7 ->= 10 3 9 5 7 , 14 1 2 3 0 1 4 5 6 7 3 0 1 2 4 5 6 6 13 -> 14 0 0 9 10 2 3 9 5 6 7 11 7 11 7 3 12 7 4 , 14 0 9 10 11 13 5 6 6 13 5 6 7 3 0 12 6 6 13 -> 14 12 6 8 9 5 6 13 14 12 7 4 5 8 1 11 6 6 13 , 15 15 15 14 0 9 5 6 7 2 4 5 6 13 10 4 5 6 13 -> 15 15 15 15 15 10 4 14 12 13 5 6 6 6 8 12 7 2 4 , 14 9 10 2 3 12 8 0 1 3 12 7 4 15 5 8 12 6 13 -> 14 0 0 9 14 0 1 11 7 4 10 11 6 13 14 1 11 6 13 , 14 12 6 7 3 12 6 8 12 7 3 0 12 7 11 8 12 6 13 -> 14 1 11 6 7 11 8 0 12 6 6 8 12 8 0 1 11 6 13 , 5 8 12 7 4 14 12 13 10 4 10 3 1 2 11 8 12 6 13 -> 10 11 8 0 12 7 3 12 8 9 10 2 11 7 4 15 5 6 13 , 5 13 5 13 10 2 3 1 4 14 1 3 0 0 12 6 13 5 13 -> 14 9 14 1 4 14 12 13 5 8 12 7 2 11 7 3 9 5 13 , 5 13 5 8 9 5 8 9 15 10 4 14 9 14 0 12 13 5 13 -> 5 13 15 15 14 9 5 13 5 8 9 14 0 9 10 11 6 8 9 , 5 7 11 8 0 9 14 12 8 9 10 4 5 7 4 15 15 5 13 -> 5 6 6 7 4 14 9 15 5 8 9 15 15 14 0 1 11 7 4 , 14 12 8 12 7 2 3 0 1 4 10 2 4 10 3 0 9 5 13 -> 14 9 10 3 12 8 9 14 0 1 2 2 2 11 7 3 9 5 13 , 15 10 4 10 4 10 3 1 2 2 4 15 14 12 7 3 9 5 13 -> 15 15 15 14 1 11 7 2 11 7 2 4 15 10 3 1 4 14 9 , 15 10 4 5 8 9 10 3 1 2 2 4 10 2 2 3 9 5 13 -> 15 14 9 10 3 1 4 10 11 7 4 15 10 2 2 11 7 3 9 , 10 2 2 3 1 4 5 6 8 0 1 4 15 10 3 1 4 5 13 -> 10 4 14 1 3 1 4 14 9 5 6 13 10 2 2 11 7 3 9 , 10 11 7 2 2 2 3 12 7 11 13 5 6 6 13 5 8 12 13 -> 10 2 11 6 7 3 12 13 15 5 8 1 2 11 6 6 7 11 13 , 5 6 13 5 7 3 0 12 8 1 11 6 13 10 4 5 8 12 13 -> 5 7 11 6 6 13 10 11 6 8 0 0 9 14 1 11 6 13 15 , 10 11 8 9 5 8 12 8 12 13 5 7 11 8 12 13 14 12 13 -> 5 6 6 13 14 1 11 6 7 11 8 9 14 12 8 9 14 12 13 , 10 2 2 2 2 2 3 1 4 5 6 6 8 0 9 15 10 11 13 -> 10 2 3 9 10 11 13 15 14 1 11 6 7 2 3 1 11 7 4 , 14 9 5 7 3 1 3 1 11 7 4 14 12 13 14 9 10 11 13 -> 14 9 14 12 13 10 11 7 3 9 14 9 10 11 7 3 12 7 4 , 15 5 13 15 14 1 3 9 5 6 13 5 6 13 10 3 1 11 13 -> 15 10 11 13 15 5 8 0 9 14 12 6 13 15 10 11 6 7 4 , 10 2 3 1 4 10 4 14 12 6 8 1 4 10 3 1 2 11 13 -> 10 2 2 11 7 11 7 4 10 4 14 9 5 8 1 3 0 1 4 , 15 14 1 4 10 3 0 9 10 2 4 14 12 7 11 6 6 13 15 -> 15 14 12 13 10 3 0 12 13 10 11 7 11 7 2 4 14 9 15 , 5 8 0 9 14 0 0 9 5 7 3 9 5 6 6 8 12 13 15 -> 10 11 6 8 9 14 0 0 0 12 6 13 15 5 6 8 0 9 15 , 15 10 2 4 15 5 7 3 12 13 5 7 2 3 9 14 12 13 15 -> 15 10 11 8 0 1 11 13 10 11 7 11 7 4 15 15 14 9 15 , 14 12 6 13 14 1 11 13 15 5 13 5 8 12 6 6 13 15 15 -> 14 12 6 13 15 5 6 6 6 7 3 12 6 13 15 14 9 15 15 , 14 0 12 7 11 8 9 14 1 4 5 6 8 9 10 11 13 15 15 -> 14 9 15 5 6 6 7 3 1 11 6 13 14 1 3 0 9 15 15 , 14 9 10 3 1 11 7 2 4 5 6 7 4 10 11 8 0 9 15 -> 14 9 14 9 10 11 13 10 11 8 12 7 2 2 2 3 12 13 15 , 10 11 8 1 4 14 12 7 4 14 1 2 11 8 0 0 0 9 15 -> 10 2 2 2 11 6 8 0 1 3 12 8 9 14 9 14 0 9 15 , 5 7 3 1 4 15 15 15 10 3 9 10 11 13 5 7 3 9 15 -> 5 7 4 15 10 11 8 9 14 1 2 11 7 4 15 14 9 15 15 , 14 1 4 14 0 0 1 3 1 4 14 0 1 11 8 12 7 4 15 -> 14 0 0 12 6 8 1 4 14 1 2 2 3 0 9 14 1 4 15 , 5 13 15 10 4 14 9 5 7 4 14 9 15 15 10 4 10 4 15 -> 10 4 15 15 15 15 14 9 5 7 3 1 2 4 15 15 5 13 15 , 14 12 13 14 0 0 12 13 10 4 5 6 6 8 1 4 10 4 15 -> 14 12 7 3 0 9 5 13 5 7 2 11 8 0 9 15 5 13 15 , 10 11 8 0 9 14 12 7 4 10 4 15 10 11 8 0 1 4 15 -> 10 3 9 14 0 1 11 7 11 7 2 3 9 5 13 14 9 15 15 , 10 11 7 4 15 15 10 3 12 13 5 7 4 10 4 10 2 4 15 -> 10 4 10 2 4 15 5 7 2 2 11 6 7 4 14 9 15 15 15 , 10 4 5 8 0 0 0 0 9 15 15 10 4 15 5 6 6 8 9 -> 5 7 4 14 0 9 15 15 15 14 0 1 11 6 8 9 5 8 9 , 10 11 8 12 8 0 0 12 6 13 14 1 4 10 4 5 6 8 9 -> 10 2 4 14 0 9 5 6 7 11 6 13 14 12 8 0 0 12 13 , 14 9 14 9 15 15 15 10 2 3 0 0 0 9 5 13 5 8 9 -> 14 9 14 9 15 14 0 1 2 11 13 14 9 15 15 14 0 12 13 , 15 15 10 11 13 10 11 13 15 14 0 12 6 7 11 8 12 8 9 -> 15 5 13 14 1 11 13 5 13 5 13 14 0 1 2 11 6 8 9 , 14 12 8 12 6 8 1 11 7 3 1 11 13 10 3 0 12 8 9 -> 14 12 8 0 0 9 5 8 1 11 7 2 11 7 3 12 6 8 9 , 5 6 8 0 12 7 4 14 12 8 9 10 4 5 6 7 11 8 9 -> 5 7 11 6 6 8 9 14 0 9 14 9 14 1 11 7 11 6 13 , 15 15 15 14 0 12 13 10 3 12 13 14 1 11 13 10 11 8 9 -> 15 15 14 12 7 4 10 2 11 6 13 15 5 8 0 0 9 14 9 , 14 12 7 4 10 3 9 14 0 0 0 9 10 4 10 11 13 14 9 -> 15 15 14 0 1 11 13 14 0 9 10 11 8 9 14 1 2 3 9 , 14 12 7 2 4 15 15 10 3 1 3 0 12 7 4 14 9 14 9 -> 15 14 9 10 11 6 7 2 3 1 3 9 14 1 4 14 9 14 9 , 14 9 10 3 9 5 6 8 1 4 5 8 0 0 0 0 9 14 9 -> 14 9 14 0 0 0 0 9 5 7 2 11 6 13 14 0 9 14 9 , 10 2 4 10 3 1 2 2 3 0 12 8 1 4 10 3 9 14 9 -> 10 2 3 9 10 2 11 13 14 1 3 1 4 14 0 1 2 3 9 , 14 9 14 12 6 13 10 4 10 4 15 14 0 12 6 7 4 14 9 -> 14 0 1 2 2 3 9 15 5 6 13 14 9 5 13 14 9 5 13 , 5 8 9 5 7 3 0 0 12 13 10 4 5 7 11 6 8 0 9 -> 10 3 12 13 5 13 14 12 8 12 13 14 1 3 1 11 8 12 13 , 15 5 13 15 15 14 0 0 9 14 12 6 7 4 10 4 14 0 9 -> 15 14 9 5 13 14 9 15 14 12 8 9 15 10 2 3 0 12 13 , 10 2 3 0 0 0 9 5 7 4 14 12 6 7 2 4 14 0 9 -> 10 2 2 3 1 4 15 14 0 1 11 13 14 12 8 0 12 8 9 , 10 2 3 1 4 14 0 0 9 10 4 5 8 1 3 0 0 0 9 -> 10 2 2 2 3 0 0 0 12 13 14 0 9 14 0 9 10 3 9 , 10 3 9 14 0 9 14 1 2 4 14 1 4 5 7 3 0 0 9 -> 10 2 4 14 9 10 11 8 0 1 3 1 3 9 15 14 0 0 9 , 14 0 0 9 5 8 0 9 5 8 9 10 4 15 15 10 3 0 9 -> 14 9 5 8 9 5 8 0 1 3 9 15 10 4 14 9 14 0 9 , 14 12 13 5 6 13 15 15 10 3 12 13 10 3 0 1 3 0 9 -> 14 1 11 13 14 0 9 15 5 7 2 11 8 0 9 15 14 12 13 , 10 3 1 4 10 11 8 12 7 11 7 2 4 10 4 5 7 3 9 -> 5 8 9 15 10 2 2 2 11 7 4 14 1 2 2 11 8 12 13 , 10 2 3 12 13 14 1 4 5 7 4 5 8 9 10 3 1 3 9 -> 10 2 3 12 13 10 2 2 4 14 0 9 14 0 12 13 10 11 13 , 10 11 6 6 7 4 10 2 11 6 6 7 11 13 14 1 2 3 9 -> 10 2 4 14 12 6 6 6 7 2 2 11 7 11 7 11 13 14 9 , 14 12 7 4 5 6 8 0 0 12 8 1 11 8 12 6 6 7 4 -> 14 12 8 12 7 11 6 8 12 8 1 11 7 3 9 14 12 6 13 , 10 2 2 3 12 8 1 2 2 4 10 4 14 0 0 12 6 7 4 -> 10 2 11 8 1 2 2 11 7 3 12 7 2 3 9 14 9 14 9 , 14 1 3 1 11 13 5 6 8 12 8 12 7 4 10 11 6 7 4 -> 14 12 13 10 3 9 5 8 1 11 6 6 7 2 3 1 11 6 13 , 15 15 15 15 10 3 9 5 7 4 15 14 12 13 14 9 5 7 4 -> 15 5 13 5 7 3 0 9 15 15 14 9 5 13 15 15 10 2 4 , 14 12 13 10 3 0 0 12 8 12 6 8 9 5 8 0 12 7 4 -> 14 12 6 8 12 8 9 14 0 1 11 6 7 3 0 9 14 12 13 , 10 3 1 4 5 8 1 2 3 0 1 3 0 1 3 0 12 7 4 -> 10 3 0 1 11 8 0 0 1 3 0 1 2 4 14 1 2 11 13 , 5 7 11 7 2 3 1 4 5 6 6 8 12 8 0 1 11 7 4 -> 5 7 2 2 11 7 11 8 12 7 11 8 0 9 5 8 12 7 4 , 15 5 6 8 12 8 12 8 9 5 6 6 6 7 11 6 13 10 4 -> 15 14 9 15 14 12 7 11 6 6 6 8 12 6 6 6 6 7 4 , 15 10 4 10 3 12 6 7 3 1 2 2 4 10 4 15 15 10 4 -> 15 10 2 4 15 15 10 2 2 11 13 5 7 3 0 9 10 2 4 , 15 10 2 4 14 0 0 12 6 8 1 4 15 15 15 10 4 10 4 -> 15 10 2 4 15 14 9 10 3 0 0 12 13 15 10 11 13 10 4 , 15 10 11 13 10 3 1 4 14 0 9 10 4 15 14 1 4 10 4 -> 15 15 10 3 1 2 4 14 0 9 15 5 8 9 10 2 4 10 4 , 10 2 3 12 7 11 8 12 8 1 11 13 10 4 14 1 4 10 4 -> 5 7 2 2 4 14 1 11 7 2 2 11 13 14 9 5 8 0 9 , 5 6 7 2 3 1 4 5 13 15 10 2 3 12 6 6 8 1 4 -> 5 6 6 7 2 3 9 5 13 10 11 7 2 3 9 14 12 7 4 , 14 12 8 12 7 4 14 12 7 2 3 0 0 9 10 4 14 1 4 -> 5 13 14 9 14 1 11 13 14 0 12 8 0 1 3 1 2 2 4 , 15 15 14 0 9 10 4 5 8 9 15 10 3 0 9 14 0 1 4 -> 15 14 12 8 9 15 14 0 1 3 1 4 14 0 9 15 15 10 4 , 15 14 12 7 3 1 4 14 1 4 5 7 3 1 3 0 0 1 4 -> 15 14 0 0 0 0 1 2 2 2 4 14 9 14 1 2 11 6 13 , 10 3 12 7 4 15 15 5 6 6 8 0 0 0 12 7 3 1 4 -> 5 8 9 14 1 11 13 14 12 8 9 10 11 8 1 3 12 7 4 , 10 2 11 8 0 12 7 3 12 8 9 5 8 12 8 12 7 2 4 -> 10 11 8 9 14 0 0 1 11 7 11 6 6 8 1 11 8 1 4 , 10 11 8 0 1 4 14 9 10 2 2 4 5 7 3 12 7 2 4 -> 10 11 7 2 3 1 3 1 2 2 11 8 9 5 13 15 10 3 9 , 14 1 4 14 0 12 6 6 8 0 0 12 6 13 10 11 7 2 4 -> 14 0 12 6 6 7 11 8 0 9 14 9 10 2 11 8 1 11 13 , 10 2 4 10 2 4 10 11 7 2 3 12 13 5 6 8 1 2 4 -> 10 2 2 2 11 7 2 4 10 3 0 12 13 15 10 2 11 6 13 , 14 12 6 7 2 3 12 6 8 1 4 5 6 7 4 14 1 2 4 -> 14 0 0 1 11 7 4 10 11 8 9 5 7 11 7 11 6 7 4 , 14 0 12 8 12 7 4 10 11 6 8 12 8 1 4 14 1 2 4 -> 14 1 11 6 6 7 11 7 2 3 9 14 0 0 1 4 5 8 9 , 10 3 9 5 7 4 5 8 1 2 11 7 4 10 4 10 2 2 4 -> 5 6 8 9 10 11 7 3 1 2 2 4 10 4 15 10 2 2 4 , 14 0 0 1 2 11 7 3 9 10 3 0 12 7 3 1 2 2 4 -> 14 1 2 4 14 1 3 0 1 2 2 11 8 0 0 1 11 7 4 , 10 3 9 5 13 ->= 10 3 9 5 13 , 14 1 2 3 0 1 4 5 6 7 3 0 1 2 4 5 6 6 6 -> 14 0 0 9 10 2 3 9 5 6 7 11 7 11 7 3 12 7 11 , 14 0 9 10 11 13 5 6 6 13 5 6 7 3 0 12 6 6 6 -> 14 12 6 8 9 5 6 13 14 12 7 4 5 8 1 11 6 6 6 , 15 15 15 14 0 9 5 6 7 2 4 5 6 13 10 4 5 6 6 -> 15 15 15 15 15 10 4 14 12 13 5 6 6 6 8 12 7 2 11 , 14 9 10 2 3 12 8 0 1 3 12 7 4 15 5 8 12 6 6 -> 14 0 0 9 14 0 1 11 7 4 10 11 6 13 14 1 11 6 6 , 14 12 6 7 3 12 6 8 12 7 3 0 12 7 11 8 12 6 6 -> 14 1 11 6 7 11 8 0 12 6 6 8 12 8 0 1 11 6 6 , 5 8 12 7 4 14 12 13 10 4 10 3 1 2 11 8 12 6 6 -> 10 11 8 0 12 7 3 12 8 9 10 2 11 7 4 15 5 6 6 , 5 13 5 13 10 2 3 1 4 14 1 3 0 0 12 6 13 5 6 -> 14 9 14 1 4 14 12 13 5 8 12 7 2 11 7 3 9 5 6 , 5 13 5 8 9 5 8 9 15 10 4 14 9 14 0 12 13 5 6 -> 5 13 15 15 14 9 5 13 5 8 9 14 0 9 10 11 6 8 12 , 5 7 11 8 0 9 14 12 8 9 10 4 5 7 4 15 15 5 6 -> 5 6 6 7 4 14 9 15 5 8 9 15 15 14 0 1 11 7 11 , 14 12 8 12 7 2 3 0 1 4 10 2 4 10 3 0 9 5 6 -> 14 9 10 3 12 8 9 14 0 1 2 2 2 11 7 3 9 5 6 , 15 10 4 10 4 10 3 1 2 2 4 15 14 12 7 3 9 5 6 -> 15 15 15 14 1 11 7 2 11 7 2 4 15 10 3 1 4 14 12 , 15 10 4 5 8 9 10 3 1 2 2 4 10 2 2 3 9 5 6 -> 15 14 9 10 3 1 4 10 11 7 4 15 10 2 2 11 7 3 12 , 10 2 2 3 1 4 5 6 8 0 1 4 15 10 3 1 4 5 6 -> 10 4 14 1 3 1 4 14 9 5 6 13 10 2 2 11 7 3 12 , 10 11 7 2 2 2 3 12 7 11 13 5 6 6 13 5 8 12 6 -> 10 2 11 6 7 3 12 13 15 5 8 1 2 11 6 6 7 11 6 , 5 6 13 5 7 3 0 12 8 1 11 6 13 10 4 5 8 12 6 -> 5 7 11 6 6 13 10 11 6 8 0 0 9 14 1 11 6 13 5 , 10 11 8 9 5 8 12 8 12 13 5 7 11 8 12 13 14 12 6 -> 5 6 6 13 14 1 11 6 7 11 8 9 14 12 8 9 14 12 6 , 10 2 2 2 2 2 3 1 4 5 6 6 8 0 9 15 10 11 6 -> 10 2 3 9 10 11 13 15 14 1 11 6 7 2 3 1 11 7 11 , 14 9 5 7 3 1 3 1 11 7 4 14 12 13 14 9 10 11 6 -> 14 9 14 12 13 10 11 7 3 9 14 9 10 11 7 3 12 7 11 , 15 5 13 15 14 1 3 9 5 6 13 5 6 13 10 3 1 11 6 -> 15 10 11 13 15 5 8 0 9 14 12 6 13 15 10 11 6 7 11 , 10 2 3 1 4 10 4 14 12 6 8 1 4 10 3 1 2 11 6 -> 10 2 2 11 7 11 7 4 10 4 14 9 5 8 1 3 0 1 11 , 15 14 1 4 10 3 0 9 10 2 4 14 12 7 11 6 6 13 5 -> 15 14 12 13 10 3 0 12 13 10 11 7 11 7 2 4 14 9 5 , 5 8 0 9 14 0 0 9 5 7 3 9 5 6 6 8 12 13 5 -> 10 11 6 8 9 14 0 0 0 12 6 13 15 5 6 8 0 9 5 , 15 10 2 4 15 5 7 3 12 13 5 7 2 3 9 14 12 13 5 -> 15 10 11 8 0 1 11 13 10 11 7 11 7 4 15 15 14 9 5 , 14 12 6 13 14 1 11 13 15 5 13 5 8 12 6 6 13 15 5 -> 14 12 6 13 15 5 6 6 6 7 3 12 6 13 15 14 9 15 5 , 14 0 12 7 11 8 9 14 1 4 5 6 8 9 10 11 13 15 5 -> 14 9 15 5 6 6 7 3 1 11 6 13 14 1 3 0 9 15 5 , 14 9 10 3 1 11 7 2 4 5 6 7 4 10 11 8 0 9 5 -> 14 9 14 9 10 11 13 10 11 8 12 7 2 2 2 3 12 13 5 , 10 11 8 1 4 14 12 7 4 14 1 2 11 8 0 0 0 9 5 -> 10 2 2 2 11 6 8 0 1 3 12 8 9 14 9 14 0 9 5 , 5 7 3 1 4 15 15 15 10 3 9 10 11 13 5 7 3 9 5 -> 5 7 4 15 10 11 8 9 14 1 2 11 7 4 15 14 9 15 5 , 14 1 4 14 0 0 1 3 1 4 14 0 1 11 8 12 7 4 5 -> 14 0 0 12 6 8 1 4 14 1 2 2 3 0 9 14 1 4 5 , 5 13 15 10 4 14 9 5 7 4 14 9 15 15 10 4 10 4 5 -> 10 4 15 15 15 15 14 9 5 7 3 1 2 4 15 15 5 13 5 , 14 12 13 14 0 0 12 13 10 4 5 6 6 8 1 4 10 4 5 -> 14 12 7 3 0 9 5 13 5 7 2 11 8 0 9 15 5 13 5 , 10 11 8 0 9 14 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7 4 14 9 14 12 -> 15 14 9 10 11 6 7 2 3 1 3 9 14 1 4 14 9 14 12 , 14 9 10 3 9 5 6 8 1 4 5 8 0 0 0 0 9 14 12 -> 14 9 14 0 0 0 0 9 5 7 2 11 6 13 14 0 9 14 12 , 10 2 4 10 3 1 2 2 3 0 12 8 1 4 10 3 9 14 12 -> 10 2 3 9 10 2 11 13 14 1 3 1 4 14 0 1 2 3 12 , 14 9 14 12 6 13 10 4 10 4 15 14 0 12 6 7 4 14 12 -> 14 0 1 2 2 3 9 15 5 6 13 14 9 5 13 14 9 5 6 , 5 8 9 5 7 3 0 0 12 13 10 4 5 7 11 6 8 0 12 -> 10 3 12 13 5 13 14 12 8 12 13 14 1 3 1 11 8 12 6 , 15 5 13 15 15 14 0 0 9 14 12 6 7 4 10 4 14 0 12 -> 15 14 9 5 13 14 9 15 14 12 8 9 15 10 2 3 0 12 6 , 10 2 3 0 0 0 9 5 7 4 14 12 6 7 2 4 14 0 12 -> 10 2 2 3 1 4 15 14 0 1 11 13 14 12 8 0 12 8 12 , 10 2 3 1 4 14 0 0 9 10 4 5 8 1 3 0 0 0 12 -> 10 2 2 2 3 0 0 0 12 13 14 0 9 14 0 9 10 3 12 , 10 3 9 14 0 9 14 1 2 4 14 1 4 5 7 3 0 0 12 -> 10 2 4 14 9 10 11 8 0 1 3 1 3 9 15 14 0 0 12 , 14 0 0 9 5 8 0 9 5 8 9 10 4 15 15 10 3 0 12 -> 14 9 5 8 9 5 8 0 1 3 9 15 10 4 14 9 14 0 12 , 14 12 13 5 6 13 15 15 10 3 12 13 10 3 0 1 3 0 12 -> 14 1 11 13 14 0 9 15 5 7 2 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10 3 0 1 -> 8 9 5 8 9 5 8 0 1 3 9 15 10 4 14 9 14 0 1 , 8 12 13 5 6 13 15 15 10 3 12 13 10 3 0 1 3 0 1 -> 8 1 11 13 14 0 9 15 5 7 2 11 8 0 9 15 14 12 7 , 7 3 1 4 10 11 8 12 7 11 7 2 4 10 4 5 7 3 1 -> 6 8 9 15 10 2 2 2 11 7 4 14 1 2 2 11 8 12 7 , 7 2 3 12 13 14 1 4 5 7 4 5 8 9 10 3 1 3 1 -> 7 2 3 12 13 10 2 2 4 14 0 9 14 0 12 13 10 11 7 , 7 11 6 6 7 4 10 2 11 6 6 7 11 13 14 1 2 3 1 -> 7 2 4 14 12 6 6 6 7 2 2 11 7 11 7 11 13 14 1 , 8 12 7 4 5 6 8 0 0 12 8 1 11 8 12 6 6 7 2 -> 8 12 8 12 7 11 6 8 12 8 1 11 7 3 9 14 12 6 7 , 7 2 2 3 12 8 1 2 2 4 10 4 14 0 0 12 6 7 2 -> 7 2 11 8 1 2 2 11 7 3 12 7 2 3 9 14 9 14 1 , 8 1 3 1 11 13 5 6 8 12 8 12 7 4 10 11 6 7 2 -> 8 12 13 10 3 9 5 8 1 11 6 6 7 2 3 1 11 6 7 , 13 15 15 15 10 3 9 5 7 4 15 14 12 13 14 9 5 7 2 -> 13 5 13 5 7 3 0 9 15 15 14 9 5 13 15 15 10 2 2 , 8 12 13 10 3 0 0 12 8 12 6 8 9 5 8 0 12 7 2 -> 8 12 6 8 12 8 9 14 0 1 11 6 7 3 0 9 14 12 7 , 7 3 1 4 5 8 1 2 3 0 1 3 0 1 3 0 12 7 2 -> 7 3 0 1 11 8 0 0 1 3 0 1 2 4 14 1 2 11 7 , 6 7 11 7 2 3 1 4 5 6 6 8 12 8 0 1 11 7 2 -> 6 7 2 2 11 7 11 8 12 7 11 8 0 9 5 8 12 7 2 , 13 5 6 8 12 8 12 8 9 5 6 6 6 7 11 6 13 10 2 -> 13 14 9 15 14 12 7 11 6 6 6 8 12 6 6 6 6 7 2 , 13 10 4 10 3 12 6 7 3 1 2 2 4 10 4 15 15 10 2 -> 13 10 2 4 15 15 10 2 2 11 13 5 7 3 0 9 10 2 2 , 13 10 2 4 14 0 0 12 6 8 1 4 15 15 15 10 4 10 2 -> 13 10 2 4 15 14 9 10 3 0 0 12 13 15 10 11 13 10 2 , 13 10 11 13 10 3 1 4 14 0 9 10 4 15 14 1 4 10 2 -> 13 15 10 3 1 2 4 14 0 9 15 5 8 9 10 2 4 10 2 , 7 2 3 12 7 11 8 12 8 1 11 13 10 4 14 1 4 10 2 -> 6 7 2 2 4 14 1 11 7 2 2 11 13 14 9 5 8 0 1 , 6 6 7 2 3 1 4 5 13 15 10 2 3 12 6 6 8 1 2 -> 6 6 6 7 2 3 9 5 13 10 11 7 2 3 9 14 12 7 2 , 8 12 8 12 7 4 14 12 7 2 3 0 0 9 10 4 14 1 2 -> 6 13 14 9 14 1 11 13 14 0 12 8 0 1 3 1 2 2 2 , 13 15 14 0 9 10 4 5 8 9 15 10 3 0 9 14 0 1 2 -> 13 14 12 8 9 15 14 0 1 3 1 4 14 0 9 15 15 10 2 , 13 14 12 7 3 1 4 14 1 4 5 7 3 1 3 0 0 1 2 -> 13 14 0 0 0 0 1 2 2 2 4 14 9 14 1 2 11 6 7 , 7 3 12 7 4 15 15 5 6 6 8 0 0 0 12 7 3 1 2 -> 6 8 9 14 1 11 13 14 12 8 9 10 11 8 1 3 12 7 2 , 7 2 11 8 0 12 7 3 12 8 9 5 8 12 8 12 7 2 2 -> 7 11 8 9 14 0 0 1 11 7 11 6 6 8 1 11 8 1 2 , 7 11 8 0 1 4 14 9 10 2 2 4 5 7 3 12 7 2 2 -> 7 11 7 2 3 1 3 1 2 2 11 8 9 5 13 15 10 3 1 , 8 1 4 14 0 12 6 6 8 0 0 12 6 13 10 11 7 2 2 -> 8 0 12 6 6 7 11 8 0 9 14 9 10 2 11 8 1 11 7 , 7 2 4 10 2 4 10 11 7 2 3 12 13 5 6 8 1 2 2 -> 7 2 2 2 11 7 2 4 10 3 0 12 13 15 10 2 11 6 7 , 8 12 6 7 2 3 12 6 8 1 4 5 6 7 4 14 1 2 2 -> 8 0 0 1 11 7 4 10 11 8 9 5 7 11 7 11 6 7 2 , 8 0 12 8 12 7 4 10 11 6 8 12 8 1 4 14 1 2 2 -> 8 1 11 6 6 7 11 7 2 3 9 14 0 0 1 4 5 8 1 , 7 3 9 5 7 4 5 8 1 2 11 7 4 10 4 10 2 2 2 -> 6 6 8 9 10 11 7 3 1 2 2 4 10 4 15 10 2 2 2 , 8 0 0 1 2 11 7 3 9 10 3 0 12 7 3 1 2 2 2 -> 8 1 2 4 14 1 3 0 1 2 2 11 8 0 0 1 11 7 2 , 7 3 9 5 7 ->= 7 3 9 5 7 , 8 1 2 3 0 1 4 5 6 7 3 0 1 2 4 5 6 6 13 -> 8 0 0 9 10 2 3 9 5 6 7 11 7 11 7 3 12 7 4 , 8 0 9 10 11 13 5 6 6 13 5 6 7 3 0 12 6 6 13 -> 8 12 6 8 9 5 6 13 14 12 7 4 5 8 1 11 6 6 13 , 13 15 15 14 0 9 5 6 7 2 4 5 6 13 10 4 5 6 13 -> 13 15 15 15 15 10 4 14 12 13 5 6 6 6 8 12 7 2 4 , 8 9 10 2 3 12 8 0 1 3 12 7 4 15 5 8 12 6 13 -> 8 0 0 9 14 0 1 11 7 4 10 11 6 13 14 1 11 6 13 , 8 12 6 7 3 12 6 8 12 7 3 0 12 7 11 8 12 6 13 -> 8 1 11 6 7 11 8 0 12 6 6 8 12 8 0 1 11 6 13 , 6 8 12 7 4 14 12 13 10 4 10 3 1 2 11 8 12 6 13 -> 7 11 8 0 12 7 3 12 8 9 10 2 11 7 4 15 5 6 13 , 6 13 5 13 10 2 3 1 4 14 1 3 0 0 12 6 13 5 13 -> 8 9 14 1 4 14 12 13 5 8 12 7 2 11 7 3 9 5 13 , 6 13 5 8 9 5 8 9 15 10 4 14 9 14 0 12 13 5 13 -> 6 13 15 15 14 9 5 13 5 8 9 14 0 9 10 11 6 8 9 , 6 7 11 8 0 9 14 12 8 9 10 4 5 7 4 15 15 5 13 -> 6 6 6 7 4 14 9 15 5 8 9 15 15 14 0 1 11 7 4 , 8 12 8 12 7 2 3 0 1 4 10 2 4 10 3 0 9 5 13 -> 8 9 10 3 12 8 9 14 0 1 2 2 2 11 7 3 9 5 13 , 13 10 4 10 4 10 3 1 2 2 4 15 14 12 7 3 9 5 13 -> 13 15 15 14 1 11 7 2 11 7 2 4 15 10 3 1 4 14 9 , 13 10 4 5 8 9 10 3 1 2 2 4 10 2 2 3 9 5 13 -> 13 14 9 10 3 1 4 10 11 7 4 15 10 2 2 11 7 3 9 , 7 2 2 3 1 4 5 6 8 0 1 4 15 10 3 1 4 5 13 -> 7 4 14 1 3 1 4 14 9 5 6 13 10 2 2 11 7 3 9 , 7 11 7 2 2 2 3 12 7 11 13 5 6 6 13 5 8 12 13 -> 7 2 11 6 7 3 12 13 15 5 8 1 2 11 6 6 7 11 13 , 6 6 13 5 7 3 0 12 8 1 11 6 13 10 4 5 8 12 13 -> 6 7 11 6 6 13 10 11 6 8 0 0 9 14 1 11 6 13 15 , 7 11 8 9 5 8 12 8 12 13 5 7 11 8 12 13 14 12 13 -> 6 6 6 13 14 1 11 6 7 11 8 9 14 12 8 9 14 12 13 , 7 2 2 2 2 2 3 1 4 5 6 6 8 0 9 15 10 11 13 -> 7 2 3 9 10 11 13 15 14 1 11 6 7 2 3 1 11 7 4 , 8 9 5 7 3 1 3 1 11 7 4 14 12 13 14 9 10 11 13 -> 8 9 14 12 13 10 11 7 3 9 14 9 10 11 7 3 12 7 4 , 13 5 13 15 14 1 3 9 5 6 13 5 6 13 10 3 1 11 13 -> 13 10 11 13 15 5 8 0 9 14 12 6 13 15 10 11 6 7 4 , 7 2 3 1 4 10 4 14 12 6 8 1 4 10 3 1 2 11 13 -> 7 2 2 11 7 11 7 4 10 4 14 9 5 8 1 3 0 1 4 , 13 14 1 4 10 3 0 9 10 2 4 14 12 7 11 6 6 13 15 -> 13 14 12 13 10 3 0 12 13 10 11 7 11 7 2 4 14 9 15 , 6 8 0 9 14 0 0 9 5 7 3 9 5 6 6 8 12 13 15 -> 7 11 6 8 9 14 0 0 0 12 6 13 15 5 6 8 0 9 15 , 13 10 2 4 15 5 7 3 12 13 5 7 2 3 9 14 12 13 15 -> 13 10 11 8 0 1 11 13 10 11 7 11 7 4 15 15 14 9 15 , 8 12 6 13 14 1 11 13 15 5 13 5 8 12 6 6 13 15 15 -> 8 12 6 13 15 5 6 6 6 7 3 12 6 13 15 14 9 15 15 , 8 0 12 7 11 8 9 14 1 4 5 6 8 9 10 11 13 15 15 -> 8 9 15 5 6 6 7 3 1 11 6 13 14 1 3 0 9 15 15 , 8 9 10 3 1 11 7 2 4 5 6 7 4 10 11 8 0 9 15 -> 8 9 14 9 10 11 13 10 11 8 12 7 2 2 2 3 12 13 15 , 7 11 8 1 4 14 12 7 4 14 1 2 11 8 0 0 0 9 15 -> 7 2 2 2 11 6 8 0 1 3 12 8 9 14 9 14 0 9 15 , 6 7 3 1 4 15 15 15 10 3 9 10 11 13 5 7 3 9 15 -> 6 7 4 15 10 11 8 9 14 1 2 11 7 4 15 14 9 15 15 , 8 1 4 14 0 0 1 3 1 4 14 0 1 11 8 12 7 4 15 -> 8 0 0 12 6 8 1 4 14 1 2 2 3 0 9 14 1 4 15 , 6 13 15 10 4 14 9 5 7 4 14 9 15 15 10 4 10 4 15 -> 7 4 15 15 15 15 14 9 5 7 3 1 2 4 15 15 5 13 15 , 8 12 13 14 0 0 12 13 10 4 5 6 6 8 1 4 10 4 15 -> 8 12 7 3 0 9 5 13 5 7 2 11 8 0 9 15 5 13 15 , 7 11 8 0 9 14 12 7 4 10 4 15 10 11 8 0 1 4 15 -> 7 3 9 14 0 1 11 7 11 7 2 3 9 5 13 14 9 15 15 , 7 11 7 4 15 15 10 3 12 13 5 7 4 10 4 10 2 4 15 -> 7 4 10 2 4 15 5 7 2 2 11 6 7 4 14 9 15 15 15 , 7 4 5 8 0 0 0 0 9 15 15 10 4 15 5 6 6 8 9 -> 6 7 4 14 0 9 15 15 15 14 0 1 11 6 8 9 5 8 9 , 7 11 8 12 8 0 0 12 6 13 14 1 4 10 4 5 6 8 9 -> 7 2 4 14 0 9 5 6 7 11 6 13 14 12 8 0 0 12 13 , 8 9 14 9 15 15 15 10 2 3 0 0 0 9 5 13 5 8 9 -> 8 9 14 9 15 14 0 1 2 11 13 14 9 15 15 14 0 12 13 , 13 15 10 11 13 10 11 13 15 14 0 12 6 7 11 8 12 8 9 -> 13 5 13 14 1 11 13 5 13 5 13 14 0 1 2 11 6 8 9 , 8 12 8 12 6 8 1 11 7 3 1 11 13 10 3 0 12 8 9 -> 8 12 8 0 0 9 5 8 1 11 7 2 11 7 3 12 6 8 9 , 6 6 8 0 12 7 4 14 12 8 9 10 4 5 6 7 11 8 9 -> 6 7 11 6 6 8 9 14 0 9 14 9 14 1 11 7 11 6 13 , 13 15 15 14 0 12 13 10 3 12 13 14 1 11 13 10 11 8 9 -> 13 15 14 12 7 4 10 2 11 6 13 15 5 8 0 0 9 14 9 , 8 12 7 4 10 3 9 14 0 0 0 9 10 4 10 11 13 14 9 -> 13 15 14 0 1 11 13 14 0 9 10 11 8 9 14 1 2 3 9 , 8 12 7 2 4 15 15 10 3 1 3 0 12 7 4 14 9 14 9 -> 13 14 9 10 11 6 7 2 3 1 3 9 14 1 4 14 9 14 9 , 8 9 10 3 9 5 6 8 1 4 5 8 0 0 0 0 9 14 9 -> 8 9 14 0 0 0 0 9 5 7 2 11 6 13 14 0 9 14 9 , 7 2 4 10 3 1 2 2 3 0 12 8 1 4 10 3 9 14 9 -> 7 2 3 9 10 2 11 13 14 1 3 1 4 14 0 1 2 3 9 , 8 9 14 12 6 13 10 4 10 4 15 14 0 12 6 7 4 14 9 -> 8 0 1 2 2 3 9 15 5 6 13 14 9 5 13 14 9 5 13 , 6 8 9 5 7 3 0 0 12 13 10 4 5 7 11 6 8 0 9 -> 7 3 12 13 5 13 14 12 8 12 13 14 1 3 1 11 8 12 13 , 13 5 13 15 15 14 0 0 9 14 12 6 7 4 10 4 14 0 9 -> 13 14 9 5 13 14 9 15 14 12 8 9 15 10 2 3 0 12 13 , 7 2 3 0 0 0 9 5 7 4 14 12 6 7 2 4 14 0 9 -> 7 2 2 3 1 4 15 14 0 1 11 13 14 12 8 0 12 8 9 , 7 2 3 1 4 14 0 0 9 10 4 5 8 1 3 0 0 0 9 -> 7 2 2 2 3 0 0 0 12 13 14 0 9 14 0 9 10 3 9 , 7 3 9 14 0 9 14 1 2 4 14 1 4 5 7 3 0 0 9 -> 7 2 4 14 9 10 11 8 0 1 3 1 3 9 15 14 0 0 9 , 8 0 0 9 5 8 0 9 5 8 9 10 4 15 15 10 3 0 9 -> 8 9 5 8 9 5 8 0 1 3 9 15 10 4 14 9 14 0 9 , 8 12 13 5 6 13 15 15 10 3 12 13 10 3 0 1 3 0 9 -> 8 1 11 13 14 0 9 15 5 7 2 11 8 0 9 15 14 12 13 , 7 3 1 4 10 11 8 12 7 11 7 2 4 10 4 5 7 3 9 -> 6 8 9 15 10 2 2 2 11 7 4 14 1 2 2 11 8 12 13 , 7 2 3 12 13 14 1 4 5 7 4 5 8 9 10 3 1 3 9 -> 7 2 3 12 13 10 2 2 4 14 0 9 14 0 12 13 10 11 13 , 7 11 6 6 7 4 10 2 11 6 6 7 11 13 14 1 2 3 9 -> 7 2 4 14 12 6 6 6 7 2 2 11 7 11 7 11 13 14 9 , 8 12 7 4 5 6 8 0 0 12 8 1 11 8 12 6 6 7 4 -> 8 12 8 12 7 11 6 8 12 8 1 11 7 3 9 14 12 6 13 , 7 2 2 3 12 8 1 2 2 4 10 4 14 0 0 12 6 7 4 -> 7 2 11 8 1 2 2 11 7 3 12 7 2 3 9 14 9 14 9 , 8 1 3 1 11 13 5 6 8 12 8 12 7 4 10 11 6 7 4 -> 8 12 13 10 3 9 5 8 1 11 6 6 7 2 3 1 11 6 13 , 13 15 15 15 10 3 9 5 7 4 15 14 12 13 14 9 5 7 4 -> 13 5 13 5 7 3 0 9 15 15 14 9 5 13 15 15 10 2 4 , 8 12 13 10 3 0 0 12 8 12 6 8 9 5 8 0 12 7 4 -> 8 12 6 8 12 8 9 14 0 1 11 6 7 3 0 9 14 12 13 , 7 3 1 4 5 8 1 2 3 0 1 3 0 1 3 0 12 7 4 -> 7 3 0 1 11 8 0 0 1 3 0 1 2 4 14 1 2 11 13 , 6 7 11 7 2 3 1 4 5 6 6 8 12 8 0 1 11 7 4 -> 6 7 2 2 11 7 11 8 12 7 11 8 0 9 5 8 12 7 4 , 13 5 6 8 12 8 12 8 9 5 6 6 6 7 11 6 13 10 4 -> 13 14 9 15 14 12 7 11 6 6 6 8 12 6 6 6 6 7 4 , 13 10 4 10 3 12 6 7 3 1 2 2 4 10 4 15 15 10 4 -> 13 10 2 4 15 15 10 2 2 11 13 5 7 3 0 9 10 2 4 , 13 10 2 4 14 0 0 12 6 8 1 4 15 15 15 10 4 10 4 -> 13 10 2 4 15 14 9 10 3 0 0 12 13 15 10 11 13 10 4 , 13 10 11 13 10 3 1 4 14 0 9 10 4 15 14 1 4 10 4 -> 13 15 10 3 1 2 4 14 0 9 15 5 8 9 10 2 4 10 4 , 7 2 3 12 7 11 8 12 8 1 11 13 10 4 14 1 4 10 4 -> 6 7 2 2 4 14 1 11 7 2 2 11 13 14 9 5 8 0 9 , 6 6 7 2 3 1 4 5 13 15 10 2 3 12 6 6 8 1 4 -> 6 6 6 7 2 3 9 5 13 10 11 7 2 3 9 14 12 7 4 , 8 12 8 12 7 4 14 12 7 2 3 0 0 9 10 4 14 1 4 -> 6 13 14 9 14 1 11 13 14 0 12 8 0 1 3 1 2 2 4 , 13 15 14 0 9 10 4 5 8 9 15 10 3 0 9 14 0 1 4 -> 13 14 12 8 9 15 14 0 1 3 1 4 14 0 9 15 15 10 4 , 13 14 12 7 3 1 4 14 1 4 5 7 3 1 3 0 0 1 4 -> 13 14 0 0 0 0 1 2 2 2 4 14 9 14 1 2 11 6 13 , 7 3 12 7 4 15 15 5 6 6 8 0 0 0 12 7 3 1 4 -> 6 8 9 14 1 11 13 14 12 8 9 10 11 8 1 3 12 7 4 , 7 2 11 8 0 12 7 3 12 8 9 5 8 12 8 12 7 2 4 -> 7 11 8 9 14 0 0 1 11 7 11 6 6 8 1 11 8 1 4 , 7 11 8 0 1 4 14 9 10 2 2 4 5 7 3 12 7 2 4 -> 7 11 7 2 3 1 3 1 2 2 11 8 9 5 13 15 10 3 9 , 8 1 4 14 0 12 6 6 8 0 0 12 6 13 10 11 7 2 4 -> 8 0 12 6 6 7 11 8 0 9 14 9 10 2 11 8 1 11 13 , 7 2 4 10 2 4 10 11 7 2 3 12 13 5 6 8 1 2 4 -> 7 2 2 2 11 7 2 4 10 3 0 12 13 15 10 2 11 6 13 , 8 12 6 7 2 3 12 6 8 1 4 5 6 7 4 14 1 2 4 -> 8 0 0 1 11 7 4 10 11 8 9 5 7 11 7 11 6 7 4 , 8 0 12 8 12 7 4 10 11 6 8 12 8 1 4 14 1 2 4 -> 8 1 11 6 6 7 11 7 2 3 9 14 0 0 1 4 5 8 9 , 7 3 9 5 7 4 5 8 1 2 11 7 4 10 4 10 2 2 4 -> 6 6 8 9 10 11 7 3 1 2 2 4 10 4 15 10 2 2 4 , 8 0 0 1 2 11 7 3 9 10 3 0 12 7 3 1 2 2 4 -> 8 1 2 4 14 1 3 0 1 2 2 11 8 0 0 1 11 7 4 , 7 3 9 5 13 ->= 7 3 9 5 13 , 8 1 2 3 0 1 4 5 6 7 3 0 1 2 4 5 6 6 6 -> 8 0 0 9 10 2 3 9 5 6 7 11 7 11 7 3 12 7 11 , 8 0 9 10 11 13 5 6 6 13 5 6 7 3 0 12 6 6 6 -> 8 12 6 8 9 5 6 13 14 12 7 4 5 8 1 11 6 6 6 , 13 15 15 14 0 9 5 6 7 2 4 5 6 13 10 4 5 6 6 -> 13 15 15 15 15 10 4 14 12 13 5 6 6 6 8 12 7 2 11 , 8 9 10 2 3 12 8 0 1 3 12 7 4 15 5 8 12 6 6 -> 8 0 0 9 14 0 1 11 7 4 10 11 6 13 14 1 11 6 6 , 8 12 6 7 3 12 6 8 12 7 3 0 12 7 11 8 12 6 6 -> 8 1 11 6 7 11 8 0 12 6 6 8 12 8 0 1 11 6 6 , 6 8 12 7 4 14 12 13 10 4 10 3 1 2 11 8 12 6 6 -> 7 11 8 0 12 7 3 12 8 9 10 2 11 7 4 15 5 6 6 , 6 13 5 13 10 2 3 1 4 14 1 3 0 0 12 6 13 5 6 -> 8 9 14 1 4 14 12 13 5 8 12 7 2 11 7 3 9 5 6 , 6 13 5 8 9 5 8 9 15 10 4 14 9 14 0 12 13 5 6 -> 6 13 15 15 14 9 5 13 5 8 9 14 0 9 10 11 6 8 12 , 6 7 11 8 0 9 14 12 8 9 10 4 5 7 4 15 15 5 6 -> 6 6 6 7 4 14 9 15 5 8 9 15 15 14 0 1 11 7 11 , 8 12 8 12 7 2 3 0 1 4 10 2 4 10 3 0 9 5 6 -> 8 9 10 3 12 8 9 14 0 1 2 2 2 11 7 3 9 5 6 , 13 10 4 10 4 10 3 1 2 2 4 15 14 12 7 3 9 5 6 -> 13 15 15 14 1 11 7 2 11 7 2 4 15 10 3 1 4 14 12 , 13 10 4 5 8 9 10 3 1 2 2 4 10 2 2 3 9 5 6 -> 13 14 9 10 3 1 4 10 11 7 4 15 10 2 2 11 7 3 12 , 7 2 2 3 1 4 5 6 8 0 1 4 15 10 3 1 4 5 6 -> 7 4 14 1 3 1 4 14 9 5 6 13 10 2 2 11 7 3 12 , 7 11 7 2 2 2 3 12 7 11 13 5 6 6 13 5 8 12 6 -> 7 2 11 6 7 3 12 13 15 5 8 1 2 11 6 6 7 11 6 , 6 6 13 5 7 3 0 12 8 1 11 6 13 10 4 5 8 12 6 -> 6 7 11 6 6 13 10 11 6 8 0 0 9 14 1 11 6 13 5 , 7 11 8 9 5 8 12 8 12 13 5 7 11 8 12 13 14 12 6 -> 6 6 6 13 14 1 11 6 7 11 8 9 14 12 8 9 14 12 6 , 7 2 2 2 2 2 3 1 4 5 6 6 8 0 9 15 10 11 6 -> 7 2 3 9 10 11 13 15 14 1 11 6 7 2 3 1 11 7 11 , 8 9 5 7 3 1 3 1 11 7 4 14 12 13 14 9 10 11 6 -> 8 9 14 12 13 10 11 7 3 9 14 9 10 11 7 3 12 7 11 , 13 5 13 15 14 1 3 9 5 6 13 5 6 13 10 3 1 11 6 -> 13 10 11 13 15 5 8 0 9 14 12 6 13 15 10 11 6 7 11 , 7 2 3 1 4 10 4 14 12 6 8 1 4 10 3 1 2 11 6 -> 7 2 2 11 7 11 7 4 10 4 14 9 5 8 1 3 0 1 11 , 13 14 1 4 10 3 0 9 10 2 4 14 12 7 11 6 6 13 5 -> 13 14 12 13 10 3 0 12 13 10 11 7 11 7 2 4 14 9 5 , 6 8 0 9 14 0 0 9 5 7 3 9 5 6 6 8 12 13 5 -> 7 11 6 8 9 14 0 0 0 12 6 13 15 5 6 8 0 9 5 , 13 10 2 4 15 5 7 3 12 13 5 7 2 3 9 14 12 13 5 -> 13 10 11 8 0 1 11 13 10 11 7 11 7 4 15 15 14 9 5 , 8 12 6 13 14 1 11 13 15 5 13 5 8 12 6 6 13 15 5 -> 8 12 6 13 15 5 6 6 6 7 3 12 6 13 15 14 9 15 5 , 8 0 12 7 11 8 9 14 1 4 5 6 8 9 10 11 13 15 5 -> 8 9 15 5 6 6 7 3 1 11 6 13 14 1 3 0 9 15 5 , 8 9 10 3 1 11 7 2 4 5 6 7 4 10 11 8 0 9 5 -> 8 9 14 9 10 11 13 10 11 8 12 7 2 2 2 3 12 13 5 , 7 11 8 1 4 14 12 7 4 14 1 2 11 8 0 0 0 9 5 -> 7 2 2 2 11 6 8 0 1 3 12 8 9 14 9 14 0 9 5 , 6 7 3 1 4 15 15 15 10 3 9 10 11 13 5 7 3 9 5 -> 6 7 4 15 10 11 8 9 14 1 2 11 7 4 15 14 9 15 5 , 8 1 4 14 0 0 1 3 1 4 14 0 1 11 8 12 7 4 5 -> 8 0 0 12 6 8 1 4 14 1 2 2 3 0 9 14 1 4 5 , 6 13 15 10 4 14 9 5 7 4 14 9 15 15 10 4 10 4 5 -> 7 4 15 15 15 15 14 9 5 7 3 1 2 4 15 15 5 13 5 , 8 12 13 14 0 0 12 13 10 4 5 6 6 8 1 4 10 4 5 -> 8 12 7 3 0 9 5 13 5 7 2 11 8 0 9 15 5 13 5 , 7 11 8 0 9 14 12 7 4 10 4 15 10 11 8 0 1 4 5 -> 7 3 9 14 0 1 11 7 11 7 2 3 9 5 13 14 9 15 5 , 7 11 7 4 15 15 10 3 12 13 5 7 4 10 4 10 2 4 5 -> 7 4 10 2 4 15 5 7 2 2 11 6 7 4 14 9 15 15 5 , 7 4 5 8 0 0 0 0 9 15 15 10 4 15 5 6 6 8 12 -> 6 7 4 14 0 9 15 15 15 14 0 1 11 6 8 9 5 8 12 , 7 11 8 12 8 0 0 12 6 13 14 1 4 10 4 5 6 8 12 -> 7 2 4 14 0 9 5 6 7 11 6 13 14 12 8 0 0 12 6 , 8 9 14 9 15 15 15 10 2 3 0 0 0 9 5 13 5 8 12 -> 8 9 14 9 15 14 0 1 2 11 13 14 9 15 15 14 0 12 6 , 13 15 10 11 13 10 11 13 15 14 0 12 6 7 11 8 12 8 12 -> 13 5 13 14 1 11 13 5 13 5 13 14 0 1 2 11 6 8 12 , 8 12 8 12 6 8 1 11 7 3 1 11 13 10 3 0 12 8 12 -> 8 12 8 0 0 9 5 8 1 11 7 2 11 7 3 12 6 8 12 , 6 6 8 0 12 7 4 14 12 8 9 10 4 5 6 7 11 8 12 -> 6 7 11 6 6 8 9 14 0 9 14 9 14 1 11 7 11 6 6 , 13 15 15 14 0 12 13 10 3 12 13 14 1 11 13 10 11 8 12 -> 13 15 14 12 7 4 10 2 11 6 13 15 5 8 0 0 9 14 12 , 8 12 7 4 10 3 9 14 0 0 0 9 10 4 10 11 13 14 12 -> 13 15 14 0 1 11 13 14 0 9 10 11 8 9 14 1 2 3 12 , 8 12 7 2 4 15 15 10 3 1 3 0 12 7 4 14 9 14 12 -> 13 14 9 10 11 6 7 2 3 1 3 9 14 1 4 14 9 14 12 , 8 9 10 3 9 5 6 8 1 4 5 8 0 0 0 0 9 14 12 -> 8 9 14 0 0 0 0 9 5 7 2 11 6 13 14 0 9 14 12 , 7 2 4 10 3 1 2 2 3 0 12 8 1 4 10 3 9 14 12 -> 7 2 3 9 10 2 11 13 14 1 3 1 4 14 0 1 2 3 12 , 8 9 14 12 6 13 10 4 10 4 15 14 0 12 6 7 4 14 12 -> 8 0 1 2 2 3 9 15 5 6 13 14 9 5 13 14 9 5 6 , 6 8 9 5 7 3 0 0 12 13 10 4 5 7 11 6 8 0 12 -> 7 3 12 13 5 13 14 12 8 12 13 14 1 3 1 11 8 12 6 , 13 5 13 15 15 14 0 0 9 14 12 6 7 4 10 4 14 0 12 -> 13 14 9 5 13 14 9 15 14 12 8 9 15 10 2 3 0 12 6 , 7 2 3 0 0 0 9 5 7 4 14 12 6 7 2 4 14 0 12 -> 7 2 2 3 1 4 15 14 0 1 11 13 14 12 8 0 12 8 12 , 7 2 3 1 4 14 0 0 9 10 4 5 8 1 3 0 0 0 12 -> 7 2 2 2 3 0 0 0 12 13 14 0 9 14 0 9 10 3 12 , 7 3 9 14 0 9 14 1 2 4 14 1 4 5 7 3 0 0 12 -> 7 2 4 14 9 10 11 8 0 1 3 1 3 9 15 14 0 0 12 , 8 0 0 9 5 8 0 9 5 8 9 10 4 15 15 10 3 0 12 -> 8 9 5 8 9 5 8 0 1 3 9 15 10 4 14 9 14 0 12 , 8 12 13 5 6 13 15 15 10 3 12 13 10 3 0 1 3 0 12 -> 8 1 11 13 14 0 9 15 5 7 2 11 8 0 9 15 14 12 6 , 7 3 1 4 10 11 8 12 7 11 7 2 4 10 4 5 7 3 12 -> 6 8 9 15 10 2 2 2 11 7 4 14 1 2 2 11 8 12 6 , 7 2 3 12 13 14 1 4 5 7 4 5 8 9 10 3 1 3 12 -> 7 2 3 12 13 10 2 2 4 14 0 9 14 0 12 13 10 11 6 , 7 11 6 6 7 4 10 2 11 6 6 7 11 13 14 1 2 3 12 -> 7 2 4 14 12 6 6 6 7 2 2 11 7 11 7 11 13 14 12 , 8 12 7 4 5 6 8 0 0 12 8 1 11 8 12 6 6 7 11 -> 8 12 8 12 7 11 6 8 12 8 1 11 7 3 9 14 12 6 6 , 7 2 2 3 12 8 1 2 2 4 10 4 14 0 0 12 6 7 11 -> 7 2 11 8 1 2 2 11 7 3 12 7 2 3 9 14 9 14 12 , 8 1 3 1 11 13 5 6 8 12 8 12 7 4 10 11 6 7 11 -> 8 12 13 10 3 9 5 8 1 11 6 6 7 2 3 1 11 6 6 , 13 15 15 15 10 3 9 5 7 4 15 14 12 13 14 9 5 7 11 -> 13 5 13 5 7 3 0 9 15 15 14 9 5 13 15 15 10 2 11 , 8 12 13 10 3 0 0 12 8 12 6 8 9 5 8 0 12 7 11 -> 8 12 6 8 12 8 9 14 0 1 11 6 7 3 0 9 14 12 6 , 7 3 1 4 5 8 1 2 3 0 1 3 0 1 3 0 12 7 11 -> 7 3 0 1 11 8 0 0 1 3 0 1 2 4 14 1 2 11 6 , 6 7 11 7 2 3 1 4 5 6 6 8 12 8 0 1 11 7 11 -> 6 7 2 2 11 7 11 8 12 7 11 8 0 9 5 8 12 7 11 , 13 5 6 8 12 8 12 8 9 5 6 6 6 7 11 6 13 10 11 -> 13 14 9 15 14 12 7 11 6 6 6 8 12 6 6 6 6 7 11 , 13 10 4 10 3 12 6 7 3 1 2 2 4 10 4 15 15 10 11 -> 13 10 2 4 15 15 10 2 2 11 13 5 7 3 0 9 10 2 11 , 13 10 2 4 14 0 0 12 6 8 1 4 15 15 15 10 4 10 11 -> 13 10 2 4 15 14 9 10 3 0 0 12 13 15 10 11 13 10 11 , 13 10 11 13 10 3 1 4 14 0 9 10 4 15 14 1 4 10 11 -> 13 15 10 3 1 2 4 14 0 9 15 5 8 9 10 2 4 10 11 , 7 2 3 12 7 11 8 12 8 1 11 13 10 4 14 1 4 10 11 -> 6 7 2 2 4 14 1 11 7 2 2 11 13 14 9 5 8 0 12 , 6 6 7 2 3 1 4 5 13 15 10 2 3 12 6 6 8 1 11 -> 6 6 6 7 2 3 9 5 13 10 11 7 2 3 9 14 12 7 11 , 8 12 8 12 7 4 14 12 7 2 3 0 0 9 10 4 14 1 11 -> 6 13 14 9 14 1 11 13 14 0 12 8 0 1 3 1 2 2 11 , 13 15 14 0 9 10 4 5 8 9 15 10 3 0 9 14 0 1 11 -> 13 14 12 8 9 15 14 0 1 3 1 4 14 0 9 15 15 10 11 , 13 14 12 7 3 1 4 14 1 4 5 7 3 1 3 0 0 1 11 -> 13 14 0 0 0 0 1 2 2 2 4 14 9 14 1 2 11 6 6 , 7 3 12 7 4 15 15 5 6 6 8 0 0 0 12 7 3 1 11 -> 6 8 9 14 1 11 13 14 12 8 9 10 11 8 1 3 12 7 11 , 7 2 11 8 0 12 7 3 12 8 9 5 8 12 8 12 7 2 11 -> 7 11 8 9 14 0 0 1 11 7 11 6 6 8 1 11 8 1 11 , 7 11 8 0 1 4 14 9 10 2 2 4 5 7 3 12 7 2 11 -> 7 11 7 2 3 1 3 1 2 2 11 8 9 5 13 15 10 3 12 , 8 1 4 14 0 12 6 6 8 0 0 12 6 13 10 11 7 2 11 -> 8 0 12 6 6 7 11 8 0 9 14 9 10 2 11 8 1 11 6 , 7 2 4 10 2 4 10 11 7 2 3 12 13 5 6 8 1 2 11 -> 7 2 2 2 11 7 2 4 10 3 0 12 13 15 10 2 11 6 6 , 8 12 6 7 2 3 12 6 8 1 4 5 6 7 4 14 1 2 11 -> 8 0 0 1 11 7 4 10 11 8 9 5 7 11 7 11 6 7 11 , 8 0 12 8 12 7 4 10 11 6 8 12 8 1 4 14 1 2 11 -> 8 1 11 6 6 7 11 7 2 3 9 14 0 0 1 4 5 8 12 , 7 3 9 5 7 4 5 8 1 2 11 7 4 10 4 10 2 2 11 -> 6 6 8 9 10 11 7 3 1 2 2 4 10 4 15 10 2 2 11 , 8 0 0 1 2 11 7 3 9 10 3 0 12 7 3 1 2 2 11 -> 8 1 2 4 14 1 3 0 1 2 2 11 8 0 0 1 11 7 11 , 7 3 9 5 6 ->= 7 3 9 5 6 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 is interpreted by / \ | 1 0 | | 0 1 | \ / 1 is interpreted by / \ | 1 0 | | 0 1 | \ / 2 is interpreted by / \ | 1 0 | | 0 1 | \ / 3 is interpreted by / \ | 1 2 | | 0 1 | \ / 4 is interpreted by / \ | 1 6 | | 0 1 | \ / 5 is interpreted by / \ | 1 3 | | 0 1 | \ / 6 is interpreted by / \ | 1 0 | | 0 1 | \ / 7 is interpreted by / \ | 1 0 | | 0 1 | \ / 8 is interpreted by / \ | 1 0 | | 0 1 | \ / 9 is interpreted by / \ | 1 0 | | 0 1 | \ / 10 is interpreted by / \ | 1 4 | | 0 1 | \ / 11 is interpreted by / \ | 1 0 | | 0 1 | \ / 12 is interpreted by / \ | 1 0 | | 0 1 | \ / 13 is interpreted by / \ | 1 2 | | 0 1 | \ / 14 is interpreted by / \ | 1 0 | | 0 1 | \ / 15 is interpreted by / \ | 1 3 | | 0 1 | \ / After renaming modulo { 1->0, 3->1, 9->2, 5->3, 8->4, 7->5, 13->6, 6->7, 2->8, 10->9 }, it remains to prove termination of the 16-rule system { 0 1 2 3 4 ->= 0 1 2 3 4 , 0 1 2 3 5 ->= 0 1 2 3 5 , 0 1 2 3 6 ->= 0 1 2 3 6 , 0 1 2 3 7 ->= 0 1 2 3 7 , 8 1 2 3 4 ->= 8 1 2 3 4 , 8 1 2 3 5 ->= 8 1 2 3 5 , 8 1 2 3 6 ->= 8 1 2 3 6 , 8 1 2 3 7 ->= 8 1 2 3 7 , 9 1 2 3 4 ->= 9 1 2 3 4 , 9 1 2 3 5 ->= 9 1 2 3 5 , 9 1 2 3 6 ->= 9 1 2 3 6 , 9 1 2 3 7 ->= 9 1 2 3 7 , 5 1 2 3 4 ->= 5 1 2 3 4 , 5 1 2 3 5 ->= 5 1 2 3 5 , 5 1 2 3 6 ->= 5 1 2 3 6 , 5 1 2 3 7 ->= 5 1 2 3 7 } The system is trivially terminating.