WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 40 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 123 ms] (8) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(1(2(3(3(3(0(0(4(5(0(3(1(3(1(3(5(2(4(1(1(3(4(1(0(4(0(4(2(1(4(0(3(4(4(2(0(3(4(4(0(2(5(4(3(0(5(3(3(2(4(0(0(3(3(1(4(3(1(2(4(2(2(5(4(4(1(0(5(4(3(4(1(2(0(0(4(4(1(2(2(2(3(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(0(3(5(1(2(4(1(3(2(0(0(1(4(0(1(2(1(5(3(1(4(0(0(4(4(2(1(5(3(1(5(3(2(5(2(3(3(3(4(3(2(0(2(2(0(5(0(3(4(0(1(4(0(5(3(0(5(4(0(5(5(4(4(2(3(1(4(1(5(1(1(0(4(3(3(0(0(5(1(0(2(2(3(2(5(5(3(1(1(5(0(1(2(4(1(5(0(0(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(2(1(4(0(4(5(1(3(2(4(1(0(2(1(5(3(1(2(2(2(1(5(1(2(4(3(4(4(0(1(3(2(5(2(2(1(5(1(4(2(4(1(4(3(2(1(4(1(2(4(2(0(1(3(1(2(1(2(3(2(0(5(2(3(1(0(5(1(4(1(5(2(2(0(4(1(5(1(2(5(0(5(0(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(4(3(2(3(4(1(5(4(2(5(0(3(4(4(2(5(5(1(3(2(0(5(5(5(5(4(0(4(3(1(0(4(1(1(1(2(2(2(3(1(3(2(2(4(4(3(5(0(3(1(0(4(2(4(1(5(0(3(5(0(4(2(0(0(0(5(2(2(4(4(3(4(3(0(4(1(0(1(4(0(0(0(5(2(5(1(4(4(4(3(3(0(1(2(3(5(3(5(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(4(5(1(1(5(2(3(0(3(2(5(2(0(1(4(5(0(1(3(1(1(0(0(5(5(0(1(2(1(5(5(5(4(2(0(1(4(2(3(0(5(3(4(1(1(0(5(5(4(1(3(2(2(2(3(4(2(3(3(0(1(2(2(2(2(3(0(1(2(2(0(1(1(5(1(2(3(1(1(1(2(4(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(3(0(2(2(2(2(4(5(3(3(5(4(2(3(5(0(0(3(2(5(0(3(3(2(5(3(5(5(2(1(5(5(5(1(5(3(4(0(5(1(2(5(5(2(3(2(2(4(0(0(2(5(5(4(3(4(4(2(3(4(5(4(1(1(2(2(0(2(5(3(2(3(2(0(4(4(3(2(0(5(3(5(5(3(2(1(3(0(3(0(3(2(4(5(3(2(2(0(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2(0(4(2(0(1(2(1(2(0(3(1(2(2(2(1(1(0(1(4(5(3(5(1(3(1(3(3(0(3(0(5(3(4(0(3(3(2(4(1(4(4(1(4(3(2(5(1(3(2(2(4(3(4(5(1(5(3(3(2(2(5(2(5(3(0(0(0(2(4(4(0(5(4(3(0(3(3(0(0(4(0(5(4(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(0(5(5(5(0(5(0(3(5(5(4(5(3(0(0(3(5(4(1(3(0(2(5(4(5(1(5(3(3(2(0(4(1(1(2(1(0(0(3(5(5(4(3(0(0(5(0(1(2(2(2(4(5(5(2(1(5(4(2(0(4(1(4(0(0(0(4(0(0(3(3(4(4(5(5(4(1(3(5(1(2(4(5(1(0(5(2(5(5(0(4(1(1(3(5(2(4(4(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2(3(2(2(4(1(2(2(5(2(1(2(3(3(1(5(1(3(3(5(4(4(5(1(2(0(4(3(4(3(1(4(3(1(3(4(2(2(2(4(0(0(4(2(1(0(3(3(0(2(1(2(1(3(0(3(1(4(4(0(5(2(4(4(0(2(5(4(2(5(4(0(3(3(0(2(4(5(4(1(1(4(0(1(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(2(0(4(5(1(5(3(5(4(4(3(2(3(4(2(4(5(2(5(2(3(5(2(3(1(3(4(3(4(1(0(4(0(1(5(5(5(0(4(4(3(2(1(5(0(0(3(4(2(3(0(5(2(4(5(1(4(2(3(0(3(5(5(0(4(5(1(0(5(2(0(4(3(1(3(2(5(1(5(4(5(5(4(2(3(5(3(2(1(0(5(5(1(4(4(5(4(1(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2(4(1(0(4(4(1(3(4(1(1(3(3(3(2(4(4(3(4(3(3(3(1(4(4(2(2(5(2(1(2(5(1(4(5(3(3(0(5(3(3(3(1(5(0(5(5(0(3(0(0(2(3(0(5(1(0(2(5(4(5(3(3(3(0(2(0(3(5(2(4(0(0(1(2(5(4(0(5(0(2(5(0(1(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(2(5(4(4(4(3(1(4(1(4(0(3(5(4(0(2(4(1(1(2(2(0(2(5(5(4(3(1(2(3(5(2(4(0(0(5(2(5(5(3(1(4(5(5(1(2(5(5(0(4(2(2(1(3(3(2(3(4(1(5(0(0(0(4(5(0(1(5(0(1(1(1(5(3(1(2(0(5(0(1(5(4(2(4(1(3(0(5(0(3(2(4(2(0(0(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(1(1(4(3(0(3(1(5(2(2(0(3(1(0(2(3(0(5(2(5(1(3(2(1(4(5(3(2(4(2(3(3(4(0(2(2(4(0(5(4(0(2(0(3(1(3(3(4(4(0(0(1(1(3(3(3(2(1(0(3(3(5(4(1(0(2(3(3(1(2(2(1(4(2(1(5(2(0(5(5(5(2(0(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(3(3(5(2(5(3(0(2(5(0(2(5(1(2(2(3(2(0(1(3(2(2(0(3(4(3(2(2(5(1(3(4(4(0(2(4(4(4(0(2(5(4(0(2(3(5(1(5(0(1(4(4(5(1(1(0(1(5(1(0(5(5(1(4(4(4(5(5(0(3(5(3(4(3(5(4(4(5(5(2(5(0(1(5(1(3(3(0(5(4(3(2(4(3(2(2(3(3(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(1(5(4(2(0(3(5(3(2(2(4(5(3(2(3(5(4(4(0(3(0(1(1(3(3(4(3(1(0(3(0(4(1(1(4(3(1(4(4(2(4(1(5(3(3(0(3(4(0(3(1(4(1(1(2(0(4(0(2(5(1(3(4(4(1(3(0(5(5(2(4(3(2(1(3(5(2(0(3(3(1(3(0(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(5(3(0(3(5(3(4(3(4(5(2(1(5(4(3(1(0(4(4(1(3(0(1(3(0(1(4(4(2(3(4(0(3(2(2(5(3(2(4(0(0(2(2(2(2(0(2(3(1(4(1(0(4(1(3(4(5(1(5(0(3(2(3(4(3(1(4(5(5(1(1(3(1(2(1(4(5(5(1(5(0(5(0(4(5(3(3(5(2(3(1(5(5(2(1(1(0(3(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(2(1(0(2(0(1(0(3(0(2(1(5(1(2(4(0(0(4(0(3(4(5(1(2(4(1(3(0(2(1(1(2(5(1(5(1(4(1(2(5(1(1(4(0(2(1(2(3(3(1(4(4(0(0(2(1(2(2(2(3(1(4(5(1(2(0(2(3(2(0(1(1(5(0(4(1(2(3(1(0(3(2(5(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(3(5(4(2(0(2(3(2(1(0(4(4(4(4(2(5(3(5(1(1(2(5(0(3(3(1(3(4(2(5(1(5(1(5(5(5(0(4(4(2(2(3(1(4(0(3(2(0(4(0(5(3(3(5(2(4(0(1(0(0(3(4(0(2(4(5(5(0(5(0(4(1(2(0(0(2(2(5(0(0(0(3(3(4(3(4(1(4(0(2(0(2(3(4(1(5(4(0(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(2(4(4(3(5(2(5(4(4(4(2(2(3(5(5(2(4(2(0(2(0(1(5(1(1(0(3(2(4(0(2(1(4(0(1(1(3(0(5(3(4(3(2(5(3(4(3(1(3(2(4(0(1(3(0(5(3(4(4(0(0(4(4(0(5(2(5(1(0(1(0(3(1(5(5(1(1(0(2(4(1(4(4(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(5(1(4(3(3(4(5(1(4(5(5(4(1(2(3(1(0(4(3(5(4(5(4(0(0(2(5(4(5(0(1(2(4(1(5(2(3(5(0(0(5(2(4(4(5(2(5(5(1(2(5(1(0(2(5(5(1(0(1(0(1(5(3(5(1(4(2(0(5(5(0(2(1(4(3(5(4(2(1(4(1(3(3(2(1(5(0(4(1(4(3(4(2(0(3(2(0(0(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(5(0(4(0(3(0(5(0(1(0(1(5(4(5(2(4(3(1(2(3(3(5(4(2(2(3(3(3(0(0(2(5(1(1(5(2(2(1(4(0(2(3(1(1(0(4(3(1(5(5(2(5(4(3(2(2(1(5(0(2(2(4(0(2(5(1(2(0(1(2(4(2(0(5(3(4(1(1(0(1(2(3(5(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(2(3(5(3(4(0(0(3(4(4(3(2(4(2(3(2(1(0(5(1(5(3(1(2(5(3(4(3(1(2(2(0(5(3(2(0(5(0(4(0(0(0(3(0(5(2(4(4(3(3(4(5(2(5(4(5(3(0(0(0(5(2(2(2(2(0(5(4(5(5(2(5(0(4(2(5(1(1(3(3(5(0(1(5(4(5(2(2(5(0(2(0(0(1(0(0(1(3(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(0(3(2(1(0(5(4(0(4(2(2(0(3(1(4(0(2(3(2(2(3(2(3(4(0(1(0(5(5(1(1(1(4(2(5(1(3(3(0(1(0(5(5(4(5(0(2(1(0(1(0(3(2(0(5(4(1(3(2(1(0(4(4(3(0(5(2(0(5(2(2(0(2(4(2(3(4(5(0(4(3(1(4(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(3(0(5(5(1(4(3(2(5(3(1(3(5(2(0(5(3(2(5(5(4(3(2(2(4(3(4(1(5(0(1(3(0(4(2(1(3(2(1(5(2(1(4(5(0(4(5(1(0(4(0(5(5(4(3(0(5(3(4(5(3(3(0(3(5(2(4(5(3(4(5(0(0(3(1(5(5(4(5(3(5(2(4(3(5(2(5(4(5(0(3(0(5(4(4(3(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(0(4(2(5(5(2(2(2(1(1(2(3(0(1(3(1(4(3(1(0(0(4(2(4(2(2(4(4(4(2(1(1(2(4(0(4(3(0(2(5(3(2(3(3(4(4(4(3(0(2(5(4(0(1(5(4(5(4(5(0(4(4(2(3(0(3(3(3(5(1(2(5(2(0(4(4(3(0(5(0(0(3(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(0(5(1(3(1(1(2(1(2(1(4(3(2(0(3(2(1(3(4(2(5(5(5(0(3(2(4(0(5(0(0(5(5(5(5(5(2(4(3(4(2(2(4(5(4(2(5(1(4(5(5(4(4(4(2(4(5(4(2(1(2(5(1(2(2(3(1(0(3(4(5(0(4(0(3(5(2(1(3(2(3(2(5(0(1(2(4(0(0(5(2(3(1(3(2(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(1(1(2(4(1(3(2(1(1(1(3(0(3(1(5(0(4(4(0(2(1(0(3(0(4(2(1(2(1(4(2(0(5(1(5(5(2(2(0(2(5(3(2(5(3(4(1(2(0(4(1(2(4(1(4(4(1(0(3(1(3(1(4(4(4(5(2(1(2(0(4(0(0(1(0(1(2(4(3(4(3(1(5(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(3(2(3(1(5(2(3(2(2(5(1(1(4(5(0(5(3(5(2(2(1(2(4(0(1(4(0(5(1(2(5(4(0(2(3(2(2(4(1(3(5(5(5(1(5(1(1(2(3(4(1(0(3(3(3(3(3(4(2(4(3(5(1(0(2(0(5(5(4(0(0(5(5(2(1(4(5(5(2(5(2(2(1(3(0(5(2(0(1(0(1(1(3(5(0(1(5(3(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(1(3(3(3(1(2(0(2(3(4(4(1(5(5(4(5(2(4(0(1(0(2(2(4(1(1(3(0(5(3(5(5(0(4(5(5(4(1(2(2(4(1(0(1(0(5(1(2(5(2(2(3(0(2(3(4(5(5(4(2(1(4(0(5(0(1(0(4(0(0(4(1(2(5(2(3(2(5(4(1(3(0(5(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(5(3(2(0(3(2(3(4(4(3(1(0(5(0(4(1(2(5(1(3(5(1(1(0(0(0(5(2(0(4(2(1(4(1(0(3(1(1(5(3(2(4(3(2(0(4(1(4(3(5(1(2(1(3(3(4(0(4(5(4(5(5(1(1(0(3(5(3(2(1(2(3(4(3(5(3(2(1(5(3(2(0(4(0(0(0(2(5(4(5(0(5(0(1(0(5(0(3(3(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(2(2(3(5(1(1(3(2(2(4(5(1(5(2(4(4(4(2(0(0(3(4(2(0(0(2(4(3(1(1(3(2(2(0(3(5(2(4(3(0(1(4(2(2(1(4(5(5(1(2(1(1(2(5(1(2(3(3(5(1(1(5(2(3(1(5(3(1(3(2(5(5(1(5(1(2(3(3(5(2(4(1(2(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(5(1(3(5(5(3(5(1(2(5(3(4(0(5(2(3(5(1(1(3(2(4(5(0(5(4(2(3(2(1(3(4(2(4(3(1(5(1(3(4(0(3(2(0(5(5(5(4(3(0(5(5(0(5(3(0(1(5(1(3(5(0(1(1(4(3(5(5(4(1(3(5(5(1(5(2(3(0(1(3(0(3(2(2(3(5(3(2(4(2(3(0(2(0(5(5(4(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(3(0(4(2(0(1(1(2(2(5(1(0(1(5(4(3(3(2(4(0(1(3(4(1(5(5(2(5(2(4(5(5(4(3(3(3(2(1(0(4(0(4(3(0(2(1(1(1(5(4(0(5(5(2(2(4(4(0(5(2(2(3(4(3(2(1(5(5(3(1(5(0(3(4(4(2(5(5(4(3(4(2(4(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(2(1(2(2(3(2(5(0(5(3(2(4(0(3(2(4(3(3(0(5(5(5(1(4(0(1(2(1(4(4(1(3(1(2(5(3(0(5(3(5(5(5(0(5(2(3(1(0(2(4(1(2(3(5(1(1(1(0(0(5(5(0(4(3(5(5(0(1(4(0(5(1(0(2(1(1(4(5(5(5(4(3(1(1(5(4(1(2(4(0(5(0(2(5(5(3(4(5(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(3(1(0(0(2(0(3(5(2(1(4(3(2(1(2(2(4(4(3(0(4(4(2(3(4(1(4(2(2(3(4(4(1(5(2(5(1(4(3(1(0(1(1(5(0(0(0(0(1(2(1(2(2(3(0(5(0(2(5(4(3(3(1(3(4(1(4(4(0(0(1(4(3(3(5(4(1(5(4(0(4(5(1(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(5(4(5(0(1(4(4(5(0(1(5(4(5(0(3(4(0(3(4(3(1(4(5(1(1(4(3(2(0(4(0(2(4(5(5(1(5(3(1(4(3(4(5(3(4(0(4(4(1(5(2(5(5(2(0(1(3(2(5(1(5(2(3(0(4(2(2(2(0(3(0(5(3(3(1(4(4(5(5(4(2(5(5(3(5(3(0(3(4(5(5(0(5(5(3(3(4(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(5(0(4(1(4(1(4(3(1(4(0(2(0(3(4(1(3(3(3(4(0(0(2(1(2(5(4(0(2(5(2(3(2(1(2(4(0(2(4(1(1(4(0(3(1(1(4(3(1(2(2(4(2(2(0(4(4(3(4(4(4(0(1(4(5(0(1(2(5(4(2(3(1(1(0(5(4(2(2(0(2(1(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(2(4(4(4(5(0(4(2(1(1(2(4(4(0(3(3(1(5(4(2(1(4(0(0(0(1(1(1(3(0(2(5(0(0(4(5(2(3(1(4(4(3(5(2(2(5(3(1(0(2(3(2(1(2(4(5(1(4(4(4(5(0(0(5(3(4(1(3(1(4(0(1(1(5(0(0(2(0(2(1(3(4(3(2(0(5(2(2(3(5(5(5(2(3(2(4(4(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 5(5(3(4(1(0(5(0(4(2(3(3(2(1(0(4(0(5(3(2(1(4(2(1(4(0(0(3(0(2(0(0(3(1(2(3(5(5(2(1(3(0(4(2(1(2(4(0(0(5(1(4(4(0(1(5(5(1(5(2(1(0(2(3(3(0(2(3(0(1(1(0(5(2(0(0(5(3(1(0(0(1(1(4(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(4(2(4(4(5(3(2(5(0(1(1(3(0(0(4(5(1(5(0(1(3(5(5(4(1(5(1(4(3(2(5(3(3(0(0(1(2(1(0(5(4(0(0(0(0(5(5(5(1(4(5(5(2(1(3(4(3(5(0(3(3(5(5(4(0(2(3(0(2(0(5(4(5(0(2(4(5(1(2(2(4(2(0(3(4(1(3(1(1(1(5(5(1(5(2(5(3(4(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) S is empty. Rewrite Strategy: FULL ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) ---------------------------------------- (2) Obligation: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(1(2(3(3(3(0(0(4(5(0(3(1(3(1(3(5(2(4(1(1(3(4(1(0(4(0(4(2(1(4(0(3(4(4(2(0(3(4(4(0(2(5(4(3(0(5(3(3(2(4(0(0(3(3(1(4(3(1(2(4(2(2(5(4(4(1(0(5(4(3(4(1(2(0(0(4(4(1(2(2(2(3(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(0(3(5(1(2(4(1(3(2(0(0(1(4(0(1(2(1(5(3(1(4(0(0(4(4(2(1(5(3(1(5(3(2(5(2(3(3(3(4(3(2(0(2(2(0(5(0(3(4(0(1(4(0(5(3(0(5(4(0(5(5(4(4(2(3(1(4(1(5(1(1(0(4(3(3(0(0(5(1(0(2(2(3(2(5(5(3(1(1(5(0(1(2(4(1(5(0(0(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(2(1(4(0(4(5(1(3(2(4(1(0(2(1(5(3(1(2(2(2(1(5(1(2(4(3(4(4(0(1(3(2(5(2(2(1(5(1(4(2(4(1(4(3(2(1(4(1(2(4(2(0(1(3(1(2(1(2(3(2(0(5(2(3(1(0(5(1(4(1(5(2(2(0(4(1(5(1(2(5(0(5(0(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(4(3(2(3(4(1(5(4(2(5(0(3(4(4(2(5(5(1(3(2(0(5(5(5(5(4(0(4(3(1(0(4(1(1(1(2(2(2(3(1(3(2(2(4(4(3(5(0(3(1(0(4(2(4(1(5(0(3(5(0(4(2(0(0(0(5(2(2(4(4(3(4(3(0(4(1(0(1(4(0(0(0(5(2(5(1(4(4(4(3(3(0(1(2(3(5(3(5(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(4(5(1(1(5(2(3(0(3(2(5(2(0(1(4(5(0(1(3(1(1(0(0(5(5(0(1(2(1(5(5(5(4(2(0(1(4(2(3(0(5(3(4(1(1(0(5(5(4(1(3(2(2(2(3(4(2(3(3(0(1(2(2(2(2(3(0(1(2(2(0(1(1(5(1(2(3(1(1(1(2(4(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(3(0(2(2(2(2(4(5(3(3(5(4(2(3(5(0(0(3(2(5(0(3(3(2(5(3(5(5(2(1(5(5(5(1(5(3(4(0(5(1(2(5(5(2(3(2(2(4(0(0(2(5(5(4(3(4(4(2(3(4(5(4(1(1(2(2(0(2(5(3(2(3(2(0(4(4(3(2(0(5(3(5(5(3(2(1(3(0(3(0(3(2(4(5(3(2(2(0(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2(0(4(2(0(1(2(1(2(0(3(1(2(2(2(1(1(0(1(4(5(3(5(1(3(1(3(3(0(3(0(5(3(4(0(3(3(2(4(1(4(4(1(4(3(2(5(1(3(2(2(4(3(4(5(1(5(3(3(2(2(5(2(5(3(0(0(0(2(4(4(0(5(4(3(0(3(3(0(0(4(0(5(4(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(0(5(5(5(0(5(0(3(5(5(4(5(3(0(0(3(5(4(1(3(0(2(5(4(5(1(5(3(3(2(0(4(1(1(2(1(0(0(3(5(5(4(3(0(0(5(0(1(2(2(2(4(5(5(2(1(5(4(2(0(4(1(4(0(0(0(4(0(0(3(3(4(4(5(5(4(1(3(5(1(2(4(5(1(0(5(2(5(5(0(4(1(1(3(5(2(4(4(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2(3(2(2(4(1(2(2(5(2(1(2(3(3(1(5(1(3(3(5(4(4(5(1(2(0(4(3(4(3(1(4(3(1(3(4(2(2(2(4(0(0(4(2(1(0(3(3(0(2(1(2(1(3(0(3(1(4(4(0(5(2(4(4(0(2(5(4(2(5(4(0(3(3(0(2(4(5(4(1(1(4(0(1(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(2(0(4(5(1(5(3(5(4(4(3(2(3(4(2(4(5(2(5(2(3(5(2(3(1(3(4(3(4(1(0(4(0(1(5(5(5(0(4(4(3(2(1(5(0(0(3(4(2(3(0(5(2(4(5(1(4(2(3(0(3(5(5(0(4(5(1(0(5(2(0(4(3(1(3(2(5(1(5(4(5(5(4(2(3(5(3(2(1(0(5(5(1(4(4(5(4(1(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2(4(1(0(4(4(1(3(4(1(1(3(3(3(2(4(4(3(4(3(3(3(1(4(4(2(2(5(2(1(2(5(1(4(5(3(3(0(5(3(3(3(1(5(0(5(5(0(3(0(0(2(3(0(5(1(0(2(5(4(5(3(3(3(0(2(0(3(5(2(4(0(0(1(2(5(4(0(5(0(2(5(0(1(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(2(5(4(4(4(3(1(4(1(4(0(3(5(4(0(2(4(1(1(2(2(0(2(5(5(4(3(1(2(3(5(2(4(0(0(5(2(5(5(3(1(4(5(5(1(2(5(5(0(4(2(2(1(3(3(2(3(4(1(5(0(0(0(4(5(0(1(5(0(1(1(1(5(3(1(2(0(5(0(1(5(4(2(4(1(3(0(5(0(3(2(4(2(0(0(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(1(1(4(3(0(3(1(5(2(2(0(3(1(0(2(3(0(5(2(5(1(3(2(1(4(5(3(2(4(2(3(3(4(0(2(2(4(0(5(4(0(2(0(3(1(3(3(4(4(0(0(1(1(3(3(3(2(1(0(3(3(5(4(1(0(2(3(3(1(2(2(1(4(2(1(5(2(0(5(5(5(2(0(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(3(3(5(2(5(3(0(2(5(0(2(5(1(2(2(3(2(0(1(3(2(2(0(3(4(3(2(2(5(1(3(4(4(0(2(4(4(4(0(2(5(4(0(2(3(5(1(5(0(1(4(4(5(1(1(0(1(5(1(0(5(5(1(4(4(4(5(5(0(3(5(3(4(3(5(4(4(5(5(2(5(0(1(5(1(3(3(0(5(4(3(2(4(3(2(2(3(3(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(1(5(4(2(0(3(5(3(2(2(4(5(3(2(3(5(4(4(0(3(0(1(1(3(3(4(3(1(0(3(0(4(1(1(4(3(1(4(4(2(4(1(5(3(3(0(3(4(0(3(1(4(1(1(2(0(4(0(2(5(1(3(4(4(1(3(0(5(5(2(4(3(2(1(3(5(2(0(3(3(1(3(0(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(5(3(0(3(5(3(4(3(4(5(2(1(5(4(3(1(0(4(4(1(3(0(1(3(0(1(4(4(2(3(4(0(3(2(2(5(3(2(4(0(0(2(2(2(2(0(2(3(1(4(1(0(4(1(3(4(5(1(5(0(3(2(3(4(3(1(4(5(5(1(1(3(1(2(1(4(5(5(1(5(0(5(0(4(5(3(3(5(2(3(1(5(5(2(1(1(0(3(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(2(1(0(2(0(1(0(3(0(2(1(5(1(2(4(0(0(4(0(3(4(5(1(2(4(1(3(0(2(1(1(2(5(1(5(1(4(1(2(5(1(1(4(0(2(1(2(3(3(1(4(4(0(0(2(1(2(2(2(3(1(4(5(1(2(0(2(3(2(0(1(1(5(0(4(1(2(3(1(0(3(2(5(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(3(5(4(2(0(2(3(2(1(0(4(4(4(4(2(5(3(5(1(1(2(5(0(3(3(1(3(4(2(5(1(5(1(5(5(5(0(4(4(2(2(3(1(4(0(3(2(0(4(0(5(3(3(5(2(4(0(1(0(0(3(4(0(2(4(5(5(0(5(0(4(1(2(0(0(2(2(5(0(0(0(3(3(4(3(4(1(4(0(2(0(2(3(4(1(5(4(0(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(2(4(4(3(5(2(5(4(4(4(2(2(3(5(5(2(4(2(0(2(0(1(5(1(1(0(3(2(4(0(2(1(4(0(1(1(3(0(5(3(4(3(2(5(3(4(3(1(3(2(4(0(1(3(0(5(3(4(4(0(0(4(4(0(5(2(5(1(0(1(0(3(1(5(5(1(1(0(2(4(1(4(4(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(5(1(4(3(3(4(5(1(4(5(5(4(1(2(3(1(0(4(3(5(4(5(4(0(0(2(5(4(5(0(1(2(4(1(5(2(3(5(0(0(5(2(4(4(5(2(5(5(1(2(5(1(0(2(5(5(1(0(1(0(1(5(3(5(1(4(2(0(5(5(0(2(1(4(3(5(4(2(1(4(1(3(3(2(1(5(0(4(1(4(3(4(2(0(3(2(0(0(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(5(0(4(0(3(0(5(0(1(0(1(5(4(5(2(4(3(1(2(3(3(5(4(2(2(3(3(3(0(0(2(5(1(1(5(2(2(1(4(0(2(3(1(1(0(4(3(1(5(5(2(5(4(3(2(2(1(5(0(2(2(4(0(2(5(1(2(0(1(2(4(2(0(5(3(4(1(1(0(1(2(3(5(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(2(3(5(3(4(0(0(3(4(4(3(2(4(2(3(2(1(0(5(1(5(3(1(2(5(3(4(3(1(2(2(0(5(3(2(0(5(0(4(0(0(0(3(0(5(2(4(4(3(3(4(5(2(5(4(5(3(0(0(0(5(2(2(2(2(0(5(4(5(5(2(5(0(4(2(5(1(1(3(3(5(0(1(5(4(5(2(2(5(0(2(0(0(1(0(0(1(3(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(0(3(2(1(0(5(4(0(4(2(2(0(3(1(4(0(2(3(2(2(3(2(3(4(0(1(0(5(5(1(1(1(4(2(5(1(3(3(0(1(0(5(5(4(5(0(2(1(0(1(0(3(2(0(5(4(1(3(2(1(0(4(4(3(0(5(2(0(5(2(2(0(2(4(2(3(4(5(0(4(3(1(4(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(3(0(5(5(1(4(3(2(5(3(1(3(5(2(0(5(3(2(5(5(4(3(2(2(4(3(4(1(5(0(1(3(0(4(2(1(3(2(1(5(2(1(4(5(0(4(5(1(0(4(0(5(5(4(3(0(5(3(4(5(3(3(0(3(5(2(4(5(3(4(5(0(0(3(1(5(5(4(5(3(5(2(4(3(5(2(5(4(5(0(3(0(5(4(4(3(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(0(4(2(5(5(2(2(2(1(1(2(3(0(1(3(1(4(3(1(0(0(4(2(4(2(2(4(4(4(2(1(1(2(4(0(4(3(0(2(5(3(2(3(3(4(4(4(3(0(2(5(4(0(1(5(4(5(4(5(0(4(4(2(3(0(3(3(3(5(1(2(5(2(0(4(4(3(0(5(0(0(3(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(0(5(1(3(1(1(2(1(2(1(4(3(2(0(3(2(1(3(4(2(5(5(5(0(3(2(4(0(5(0(0(5(5(5(5(5(2(4(3(4(2(2(4(5(4(2(5(1(4(5(5(4(4(4(2(4(5(4(2(1(2(5(1(2(2(3(1(0(3(4(5(0(4(0(3(5(2(1(3(2(3(2(5(0(1(2(4(0(0(5(2(3(1(3(2(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(1(1(2(4(1(3(2(1(1(1(3(0(3(1(5(0(4(4(0(2(1(0(3(0(4(2(1(2(1(4(2(0(5(1(5(5(2(2(0(2(5(3(2(5(3(4(1(2(0(4(1(2(4(1(4(4(1(0(3(1(3(1(4(4(4(5(2(1(2(0(4(0(0(1(0(1(2(4(3(4(3(1(5(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(3(2(3(1(5(2(3(2(2(5(1(1(4(5(0(5(3(5(2(2(1(2(4(0(1(4(0(5(1(2(5(4(0(2(3(2(2(4(1(3(5(5(5(1(5(1(1(2(3(4(1(0(3(3(3(3(3(4(2(4(3(5(1(0(2(0(5(5(4(0(0(5(5(2(1(4(5(5(2(5(2(2(1(3(0(5(2(0(1(0(1(1(3(5(0(1(5(3(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(1(3(3(3(1(2(0(2(3(4(4(1(5(5(4(5(2(4(0(1(0(2(2(4(1(1(3(0(5(3(5(5(0(4(5(5(4(1(2(2(4(1(0(1(0(5(1(2(5(2(2(3(0(2(3(4(5(5(4(2(1(4(0(5(0(1(0(4(0(0(4(1(2(5(2(3(2(5(4(1(3(0(5(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(5(3(2(0(3(2(3(4(4(3(1(0(5(0(4(1(2(5(1(3(5(1(1(0(0(0(5(2(0(4(2(1(4(1(0(3(1(1(5(3(2(4(3(2(0(4(1(4(3(5(1(2(1(3(3(4(0(4(5(4(5(5(1(1(0(3(5(3(2(1(2(3(4(3(5(3(2(1(5(3(2(0(4(0(0(0(2(5(4(5(0(5(0(1(0(5(0(3(3(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(2(2(3(5(1(1(3(2(2(4(5(1(5(2(4(4(4(2(0(0(3(4(2(0(0(2(4(3(1(1(3(2(2(0(3(5(2(4(3(0(1(4(2(2(1(4(5(5(1(2(1(1(2(5(1(2(3(3(5(1(1(5(2(3(1(5(3(1(3(2(5(5(1(5(1(2(3(3(5(2(4(1(2(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(5(1(3(5(5(3(5(1(2(5(3(4(0(5(2(3(5(1(1(3(2(4(5(0(5(4(2(3(2(1(3(4(2(4(3(1(5(1(3(4(0(3(2(0(5(5(5(4(3(0(5(5(0(5(3(0(1(5(1(3(5(0(1(1(4(3(5(5(4(1(3(5(5(1(5(2(3(0(1(3(0(3(2(2(3(5(3(2(4(2(3(0(2(0(5(5(4(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(3(0(4(2(0(1(1(2(2(5(1(0(1(5(4(3(3(2(4(0(1(3(4(1(5(5(2(5(2(4(5(5(4(3(3(3(2(1(0(4(0(4(3(0(2(1(1(1(5(4(0(5(5(2(2(4(4(0(5(2(2(3(4(3(2(1(5(5(3(1(5(0(3(4(4(2(5(5(4(3(4(2(4(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(2(1(2(2(3(2(5(0(5(3(2(4(0(3(2(4(3(3(0(5(5(5(1(4(0(1(2(1(4(4(1(3(1(2(5(3(0(5(3(5(5(5(0(5(2(3(1(0(2(4(1(2(3(5(1(1(1(0(0(5(5(0(4(3(5(5(0(1(4(0(5(1(0(2(1(1(4(5(5(5(4(3(1(1(5(4(1(2(4(0(5(0(2(5(5(3(4(5(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(3(1(0(0(2(0(3(5(2(1(4(3(2(1(2(2(4(4(3(0(4(4(2(3(4(1(4(2(2(3(4(4(1(5(2(5(1(4(3(1(0(1(1(5(0(0(0(0(1(2(1(2(2(3(0(5(0(2(5(4(3(3(1(3(4(1(4(4(0(0(1(4(3(3(5(4(1(5(4(0(4(5(1(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(5(4(5(0(1(4(4(5(0(1(5(4(5(0(3(4(0(3(4(3(1(4(5(1(1(4(3(2(0(4(0(2(4(5(5(1(5(3(1(4(3(4(5(3(4(0(4(4(1(5(2(5(5(2(0(1(3(2(5(1(5(2(3(0(4(2(2(2(0(3(0(5(3(3(1(4(4(5(5(4(2(5(5(3(5(3(0(3(4(5(5(0(5(5(3(3(4(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(5(0(4(1(4(1(4(3(1(4(0(2(0(3(4(1(3(3(3(4(0(0(2(1(2(5(4(0(2(5(2(3(2(1(2(4(0(2(4(1(1(4(0(3(1(1(4(3(1(2(2(4(2(2(0(4(4(3(4(4(4(0(1(4(5(0(1(2(5(4(2(3(1(1(0(5(4(2(2(0(2(1(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(2(4(4(4(5(0(4(2(1(1(2(4(4(0(3(3(1(5(4(2(1(4(0(0(0(1(1(1(3(0(2(5(0(0(4(5(2(3(1(4(4(3(5(2(2(5(3(1(0(2(3(2(1(2(4(5(1(4(4(4(5(0(0(5(3(4(1(3(1(4(0(1(1(5(0(0(2(0(2(1(3(4(3(2(0(5(2(2(3(5(5(5(2(3(2(4(4(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 5(5(3(4(1(0(5(0(4(2(3(3(2(1(0(4(0(5(3(2(1(4(2(1(4(0(0(3(0(2(0(0(3(1(2(3(5(5(2(1(3(0(4(2(1(2(4(0(0(5(1(4(4(0(1(5(5(1(5(2(1(0(2(3(3(0(2(3(0(1(1(0(5(2(0(0(5(3(1(0(0(1(1(4(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(4(2(4(4(5(3(2(5(0(1(1(3(0(0(4(5(1(5(0(1(3(5(5(4(1(5(1(4(3(2(5(3(3(0(0(1(2(1(0(5(4(0(0(0(0(5(5(5(1(4(5(5(2(1(3(4(3(5(0(3(3(5(5(4(0(2(3(0(2(0(5(4(5(0(2(4(5(1(2(2(4(2(0(3(4(1(3(1(1(1(5(5(1(5(2(5(3(4(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) Rewrite Strategy: FULL ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(1(2(3(3(3(0(0(4(5(0(3(1(3(1(3(5(2(4(1(1(3(4(1(0(4(0(4(2(1(4(0(3(4(4(2(0(3(4(4(0(2(5(4(3(0(5(3(3(2(4(0(0(3(3(1(4(3(1(2(4(2(2(5(4(4(1(0(5(4(3(4(1(2(0(0(4(4(1(2(2(2(3(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(0(3(5(1(2(4(1(3(2(0(0(1(4(0(1(2(1(5(3(1(4(0(0(4(4(2(1(5(3(1(5(3(2(5(2(3(3(3(4(3(2(0(2(2(0(5(0(3(4(0(1(4(0(5(3(0(5(4(0(5(5(4(4(2(3(1(4(1(5(1(1(0(4(3(3(0(0(5(1(0(2(2(3(2(5(5(3(1(1(5(0(1(2(4(1(5(0(0(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(2(1(4(0(4(5(1(3(2(4(1(0(2(1(5(3(1(2(2(2(1(5(1(2(4(3(4(4(0(1(3(2(5(2(2(1(5(1(4(2(4(1(4(3(2(1(4(1(2(4(2(0(1(3(1(2(1(2(3(2(0(5(2(3(1(0(5(1(4(1(5(2(2(0(4(1(5(1(2(5(0(5(0(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(4(3(2(3(4(1(5(4(2(5(0(3(4(4(2(5(5(1(3(2(0(5(5(5(5(4(0(4(3(1(0(4(1(1(1(2(2(2(3(1(3(2(2(4(4(3(5(0(3(1(0(4(2(4(1(5(0(3(5(0(4(2(0(0(0(5(2(2(4(4(3(4(3(0(4(1(0(1(4(0(0(0(5(2(5(1(4(4(4(3(3(0(1(2(3(5(3(5(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(4(5(1(1(5(2(3(0(3(2(5(2(0(1(4(5(0(1(3(1(1(0(0(5(5(0(1(2(1(5(5(5(4(2(0(1(4(2(3(0(5(3(4(1(1(0(5(5(4(1(3(2(2(2(3(4(2(3(3(0(1(2(2(2(2(3(0(1(2(2(0(1(1(5(1(2(3(1(1(1(2(4(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(3(0(2(2(2(2(4(5(3(3(5(4(2(3(5(0(0(3(2(5(0(3(3(2(5(3(5(5(2(1(5(5(5(1(5(3(4(0(5(1(2(5(5(2(3(2(2(4(0(0(2(5(5(4(3(4(4(2(3(4(5(4(1(1(2(2(0(2(5(3(2(3(2(0(4(4(3(2(0(5(3(5(5(3(2(1(3(0(3(0(3(2(4(5(3(2(2(0(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2(0(4(2(0(1(2(1(2(0(3(1(2(2(2(1(1(0(1(4(5(3(5(1(3(1(3(3(0(3(0(5(3(4(0(3(3(2(4(1(4(4(1(4(3(2(5(1(3(2(2(4(3(4(5(1(5(3(3(2(2(5(2(5(3(0(0(0(2(4(4(0(5(4(3(0(3(3(0(0(4(0(5(4(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(0(5(5(5(0(5(0(3(5(5(4(5(3(0(0(3(5(4(1(3(0(2(5(4(5(1(5(3(3(2(0(4(1(1(2(1(0(0(3(5(5(4(3(0(0(5(0(1(2(2(2(4(5(5(2(1(5(4(2(0(4(1(4(0(0(0(4(0(0(3(3(4(4(5(5(4(1(3(5(1(2(4(5(1(0(5(2(5(5(0(4(1(1(3(5(2(4(4(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2(3(2(2(4(1(2(2(5(2(1(2(3(3(1(5(1(3(3(5(4(4(5(1(2(0(4(3(4(3(1(4(3(1(3(4(2(2(2(4(0(0(4(2(1(0(3(3(0(2(1(2(1(3(0(3(1(4(4(0(5(2(4(4(0(2(5(4(2(5(4(0(3(3(0(2(4(5(4(1(1(4(0(1(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(2(0(4(5(1(5(3(5(4(4(3(2(3(4(2(4(5(2(5(2(3(5(2(3(1(3(4(3(4(1(0(4(0(1(5(5(5(0(4(4(3(2(1(5(0(0(3(4(2(3(0(5(2(4(5(1(4(2(3(0(3(5(5(0(4(5(1(0(5(2(0(4(3(1(3(2(5(1(5(4(5(5(4(2(3(5(3(2(1(0(5(5(1(4(4(5(4(1(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2(4(1(0(4(4(1(3(4(1(1(3(3(3(2(4(4(3(4(3(3(3(1(4(4(2(2(5(2(1(2(5(1(4(5(3(3(0(5(3(3(3(1(5(0(5(5(0(3(0(0(2(3(0(5(1(0(2(5(4(5(3(3(3(0(2(0(3(5(2(4(0(0(1(2(5(4(0(5(0(2(5(0(1(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(2(5(4(4(4(3(1(4(1(4(0(3(5(4(0(2(4(1(1(2(2(0(2(5(5(4(3(1(2(3(5(2(4(0(0(5(2(5(5(3(1(4(5(5(1(2(5(5(0(4(2(2(1(3(3(2(3(4(1(5(0(0(0(4(5(0(1(5(0(1(1(1(5(3(1(2(0(5(0(1(5(4(2(4(1(3(0(5(0(3(2(4(2(0(0(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(1(1(4(3(0(3(1(5(2(2(0(3(1(0(2(3(0(5(2(5(1(3(2(1(4(5(3(2(4(2(3(3(4(0(2(2(4(0(5(4(0(2(0(3(1(3(3(4(4(0(0(1(1(3(3(3(2(1(0(3(3(5(4(1(0(2(3(3(1(2(2(1(4(2(1(5(2(0(5(5(5(2(0(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(3(3(5(2(5(3(0(2(5(0(2(5(1(2(2(3(2(0(1(3(2(2(0(3(4(3(2(2(5(1(3(4(4(0(2(4(4(4(0(2(5(4(0(2(3(5(1(5(0(1(4(4(5(1(1(0(1(5(1(0(5(5(1(4(4(4(5(5(0(3(5(3(4(3(5(4(4(5(5(2(5(0(1(5(1(3(3(0(5(4(3(2(4(3(2(2(3(3(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(1(5(4(2(0(3(5(3(2(2(4(5(3(2(3(5(4(4(0(3(0(1(1(3(3(4(3(1(0(3(0(4(1(1(4(3(1(4(4(2(4(1(5(3(3(0(3(4(0(3(1(4(1(1(2(0(4(0(2(5(1(3(4(4(1(3(0(5(5(2(4(3(2(1(3(5(2(0(3(3(1(3(0(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(5(3(0(3(5(3(4(3(4(5(2(1(5(4(3(1(0(4(4(1(3(0(1(3(0(1(4(4(2(3(4(0(3(2(2(5(3(2(4(0(0(2(2(2(2(0(2(3(1(4(1(0(4(1(3(4(5(1(5(0(3(2(3(4(3(1(4(5(5(1(1(3(1(2(1(4(5(5(1(5(0(5(0(4(5(3(3(5(2(3(1(5(5(2(1(1(0(3(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(2(1(0(2(0(1(0(3(0(2(1(5(1(2(4(0(0(4(0(3(4(5(1(2(4(1(3(0(2(1(1(2(5(1(5(1(4(1(2(5(1(1(4(0(2(1(2(3(3(1(4(4(0(0(2(1(2(2(2(3(1(4(5(1(2(0(2(3(2(0(1(1(5(0(4(1(2(3(1(0(3(2(5(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(3(5(4(2(0(2(3(2(1(0(4(4(4(4(2(5(3(5(1(1(2(5(0(3(3(1(3(4(2(5(1(5(1(5(5(5(0(4(4(2(2(3(1(4(0(3(2(0(4(0(5(3(3(5(2(4(0(1(0(0(3(4(0(2(4(5(5(0(5(0(4(1(2(0(0(2(2(5(0(0(0(3(3(4(3(4(1(4(0(2(0(2(3(4(1(5(4(0(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(2(4(4(3(5(2(5(4(4(4(2(2(3(5(5(2(4(2(0(2(0(1(5(1(1(0(3(2(4(0(2(1(4(0(1(1(3(0(5(3(4(3(2(5(3(4(3(1(3(2(4(0(1(3(0(5(3(4(4(0(0(4(4(0(5(2(5(1(0(1(0(3(1(5(5(1(1(0(2(4(1(4(4(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(5(1(4(3(3(4(5(1(4(5(5(4(1(2(3(1(0(4(3(5(4(5(4(0(0(2(5(4(5(0(1(2(4(1(5(2(3(5(0(0(5(2(4(4(5(2(5(5(1(2(5(1(0(2(5(5(1(0(1(0(1(5(3(5(1(4(2(0(5(5(0(2(1(4(3(5(4(2(1(4(1(3(3(2(1(5(0(4(1(4(3(4(2(0(3(2(0(0(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(5(0(4(0(3(0(5(0(1(0(1(5(4(5(2(4(3(1(2(3(3(5(4(2(2(3(3(3(0(0(2(5(1(1(5(2(2(1(4(0(2(3(1(1(0(4(3(1(5(5(2(5(4(3(2(2(1(5(0(2(2(4(0(2(5(1(2(0(1(2(4(2(0(5(3(4(1(1(0(1(2(3(5(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(2(3(5(3(4(0(0(3(4(4(3(2(4(2(3(2(1(0(5(1(5(3(1(2(5(3(4(3(1(2(2(0(5(3(2(0(5(0(4(0(0(0(3(0(5(2(4(4(3(3(4(5(2(5(4(5(3(0(0(0(5(2(2(2(2(0(5(4(5(5(2(5(0(4(2(5(1(1(3(3(5(0(1(5(4(5(2(2(5(0(2(0(0(1(0(0(1(3(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(0(3(2(1(0(5(4(0(4(2(2(0(3(1(4(0(2(3(2(2(3(2(3(4(0(1(0(5(5(1(1(1(4(2(5(1(3(3(0(1(0(5(5(4(5(0(2(1(0(1(0(3(2(0(5(4(1(3(2(1(0(4(4(3(0(5(2(0(5(2(2(0(2(4(2(3(4(5(0(4(3(1(4(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(3(0(5(5(1(4(3(2(5(3(1(3(5(2(0(5(3(2(5(5(4(3(2(2(4(3(4(1(5(0(1(3(0(4(2(1(3(2(1(5(2(1(4(5(0(4(5(1(0(4(0(5(5(4(3(0(5(3(4(5(3(3(0(3(5(2(4(5(3(4(5(0(0(3(1(5(5(4(5(3(5(2(4(3(5(2(5(4(5(0(3(0(5(4(4(3(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(0(4(2(5(5(2(2(2(1(1(2(3(0(1(3(1(4(3(1(0(0(4(2(4(2(2(4(4(4(2(1(1(2(4(0(4(3(0(2(5(3(2(3(3(4(4(4(3(0(2(5(4(0(1(5(4(5(4(5(0(4(4(2(3(0(3(3(3(5(1(2(5(2(0(4(4(3(0(5(0(0(3(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(0(5(1(3(1(1(2(1(2(1(4(3(2(0(3(2(1(3(4(2(5(5(5(0(3(2(4(0(5(0(0(5(5(5(5(5(2(4(3(4(2(2(4(5(4(2(5(1(4(5(5(4(4(4(2(4(5(4(2(1(2(5(1(2(2(3(1(0(3(4(5(0(4(0(3(5(2(1(3(2(3(2(5(0(1(2(4(0(0(5(2(3(1(3(2(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(1(1(2(4(1(3(2(1(1(1(3(0(3(1(5(0(4(4(0(2(1(0(3(0(4(2(1(2(1(4(2(0(5(1(5(5(2(2(0(2(5(3(2(5(3(4(1(2(0(4(1(2(4(1(4(4(1(0(3(1(3(1(4(4(4(5(2(1(2(0(4(0(0(1(0(1(2(4(3(4(3(1(5(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(3(2(3(1(5(2(3(2(2(5(1(1(4(5(0(5(3(5(2(2(1(2(4(0(1(4(0(5(1(2(5(4(0(2(3(2(2(4(1(3(5(5(5(1(5(1(1(2(3(4(1(0(3(3(3(3(3(4(2(4(3(5(1(0(2(0(5(5(4(0(0(5(5(2(1(4(5(5(2(5(2(2(1(3(0(5(2(0(1(0(1(1(3(5(0(1(5(3(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(1(3(3(3(1(2(0(2(3(4(4(1(5(5(4(5(2(4(0(1(0(2(2(4(1(1(3(0(5(3(5(5(0(4(5(5(4(1(2(2(4(1(0(1(0(5(1(2(5(2(2(3(0(2(3(4(5(5(4(2(1(4(0(5(0(1(0(4(0(0(4(1(2(5(2(3(2(5(4(1(3(0(5(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(5(3(2(0(3(2(3(4(4(3(1(0(5(0(4(1(2(5(1(3(5(1(1(0(0(0(5(2(0(4(2(1(4(1(0(3(1(1(5(3(2(4(3(2(0(4(1(4(3(5(1(2(1(3(3(4(0(4(5(4(5(5(1(1(0(3(5(3(2(1(2(3(4(3(5(3(2(1(5(3(2(0(4(0(0(0(2(5(4(5(0(5(0(1(0(5(0(3(3(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(2(2(3(5(1(1(3(2(2(4(5(1(5(2(4(4(4(2(0(0(3(4(2(0(0(2(4(3(1(1(3(2(2(0(3(5(2(4(3(0(1(4(2(2(1(4(5(5(1(2(1(1(2(5(1(2(3(3(5(1(1(5(2(3(1(5(3(1(3(2(5(5(1(5(1(2(3(3(5(2(4(1(2(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(5(1(3(5(5(3(5(1(2(5(3(4(0(5(2(3(5(1(1(3(2(4(5(0(5(4(2(3(2(1(3(4(2(4(3(1(5(1(3(4(0(3(2(0(5(5(5(4(3(0(5(5(0(5(3(0(1(5(1(3(5(0(1(1(4(3(5(5(4(1(3(5(5(1(5(2(3(0(1(3(0(3(2(2(3(5(3(2(4(2(3(0(2(0(5(5(4(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(3(0(4(2(0(1(1(2(2(5(1(0(1(5(4(3(3(2(4(0(1(3(4(1(5(5(2(5(2(4(5(5(4(3(3(3(2(1(0(4(0(4(3(0(2(1(1(1(5(4(0(5(5(2(2(4(4(0(5(2(2(3(4(3(2(1(5(5(3(1(5(0(3(4(4(2(5(5(4(3(4(2(4(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(2(1(2(2(3(2(5(0(5(3(2(4(0(3(2(4(3(3(0(5(5(5(1(4(0(1(2(1(4(4(1(3(1(2(5(3(0(5(3(5(5(5(0(5(2(3(1(0(2(4(1(2(3(5(1(1(1(0(0(5(5(0(4(3(5(5(0(1(4(0(5(1(0(2(1(1(4(5(5(5(4(3(1(1(5(4(1(2(4(0(5(0(2(5(5(3(4(5(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(3(1(0(0(2(0(3(5(2(1(4(3(2(1(2(2(4(4(3(0(4(4(2(3(4(1(4(2(2(3(4(4(1(5(2(5(1(4(3(1(0(1(1(5(0(0(0(0(1(2(1(2(2(3(0(5(0(2(5(4(3(3(1(3(4(1(4(4(0(0(1(4(3(3(5(4(1(5(4(0(4(5(1(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(5(4(5(0(1(4(4(5(0(1(5(4(5(0(3(4(0(3(4(3(1(4(5(1(1(4(3(2(0(4(0(2(4(5(5(1(5(3(1(4(3(4(5(3(4(0(4(4(1(5(2(5(5(2(0(1(3(2(5(1(5(2(3(0(4(2(2(2(0(3(0(5(3(3(1(4(4(5(5(4(2(5(5(3(5(3(0(3(4(5(5(0(5(5(3(3(4(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(5(0(4(1(4(1(4(3(1(4(0(2(0(3(4(1(3(3(3(4(0(0(2(1(2(5(4(0(2(5(2(3(2(1(2(4(0(2(4(1(1(4(0(3(1(1(4(3(1(2(2(4(2(2(0(4(4(3(4(4(4(0(1(4(5(0(1(2(5(4(2(3(1(1(0(5(4(2(2(0(2(1(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(2(4(4(4(5(0(4(2(1(1(2(4(4(0(3(3(1(5(4(2(1(4(0(0(0(1(1(1(3(0(2(5(0(0(4(5(2(3(1(4(4(3(5(2(2(5(3(1(0(2(3(2(1(2(4(5(1(4(4(4(5(0(0(5(3(4(1(3(1(4(0(1(1(5(0(0(2(0(2(1(3(4(3(2(0(5(2(2(3(5(5(5(2(3(2(4(4(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 5(5(3(4(1(0(5(0(4(2(3(3(2(1(0(4(0(5(3(2(1(4(2(1(4(0(0(3(0(2(0(0(3(1(2(3(5(5(2(1(3(0(4(2(1(2(4(0(0(5(1(4(4(0(1(5(5(1(5(2(1(0(2(3(3(0(2(3(0(1(1(0(5(2(0(0(5(3(1(0(0(1(1(4(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(4(2(4(4(5(3(2(5(0(1(1(3(0(0(4(5(1(5(0(1(3(5(5(4(1(5(1(4(3(2(5(3(3(0(0(1(2(1(0(5(4(0(0(0(0(5(5(5(1(4(5(5(2(1(3(4(3(5(0(3(3(5(5(4(0(2(3(0(2(0(5(4(5(0(2(4(5(1(2(2(4(2(0(3(4(1(3(1(1(1(5(5(1(5(2(5(3(4(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) Rewrite Strategy: FULL ---------------------------------------- (5) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(1(2(3(3(3(0(0(4(5(0(3(1(3(1(3(5(2(4(1(1(3(4(1(0(4(0(4(2(1(4(0(3(4(4(2(0(3(4(4(0(2(5(4(3(0(5(3(3(2(4(0(0(3(3(1(4(3(1(2(4(2(2(5(4(4(1(0(5(4(3(4(1(2(0(0(4(4(1(2(2(2(3(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(0(3(5(1(2(4(1(3(2(0(0(1(4(0(1(2(1(5(3(1(4(0(0(4(4(2(1(5(3(1(5(3(2(5(2(3(3(3(4(3(2(0(2(2(0(5(0(3(4(0(1(4(0(5(3(0(5(4(0(5(5(4(4(2(3(1(4(1(5(1(1(0(4(3(3(0(0(5(1(0(2(2(3(2(5(5(3(1(1(5(0(1(2(4(1(5(0(0(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(2(1(4(0(4(5(1(3(2(4(1(0(2(1(5(3(1(2(2(2(1(5(1(2(4(3(4(4(0(1(3(2(5(2(2(1(5(1(4(2(4(1(4(3(2(1(4(1(2(4(2(0(1(3(1(2(1(2(3(2(0(5(2(3(1(0(5(1(4(1(5(2(2(0(4(1(5(1(2(5(0(5(0(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(4(3(2(3(4(1(5(4(2(5(0(3(4(4(2(5(5(1(3(2(0(5(5(5(5(4(0(4(3(1(0(4(1(1(1(2(2(2(3(1(3(2(2(4(4(3(5(0(3(1(0(4(2(4(1(5(0(3(5(0(4(2(0(0(0(5(2(2(4(4(3(4(3(0(4(1(0(1(4(0(0(0(5(2(5(1(4(4(4(3(3(0(1(2(3(5(3(5(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(4(5(1(1(5(2(3(0(3(2(5(2(0(1(4(5(0(1(3(1(1(0(0(5(5(0(1(2(1(5(5(5(4(2(0(1(4(2(3(0(5(3(4(1(1(0(5(5(4(1(3(2(2(2(3(4(2(3(3(0(1(2(2(2(2(3(0(1(2(2(0(1(1(5(1(2(3(1(1(1(2(4(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(3(0(2(2(2(2(4(5(3(3(5(4(2(3(5(0(0(3(2(5(0(3(3(2(5(3(5(5(2(1(5(5(5(1(5(3(4(0(5(1(2(5(5(2(3(2(2(4(0(0(2(5(5(4(3(4(4(2(3(4(5(4(1(1(2(2(0(2(5(3(2(3(2(0(4(4(3(2(0(5(3(5(5(3(2(1(3(0(3(0(3(2(4(5(3(2(2(0(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2(0(4(2(0(1(2(1(2(0(3(1(2(2(2(1(1(0(1(4(5(3(5(1(3(1(3(3(0(3(0(5(3(4(0(3(3(2(4(1(4(4(1(4(3(2(5(1(3(2(2(4(3(4(5(1(5(3(3(2(2(5(2(5(3(0(0(0(2(4(4(0(5(4(3(0(3(3(0(0(4(0(5(4(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(0(5(5(5(0(5(0(3(5(5(4(5(3(0(0(3(5(4(1(3(0(2(5(4(5(1(5(3(3(2(0(4(1(1(2(1(0(0(3(5(5(4(3(0(0(5(0(1(2(2(2(4(5(5(2(1(5(4(2(0(4(1(4(0(0(0(4(0(0(3(3(4(4(5(5(4(1(3(5(1(2(4(5(1(0(5(2(5(5(0(4(1(1(3(5(2(4(4(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2(3(2(2(4(1(2(2(5(2(1(2(3(3(1(5(1(3(3(5(4(4(5(1(2(0(4(3(4(3(1(4(3(1(3(4(2(2(2(4(0(0(4(2(1(0(3(3(0(2(1(2(1(3(0(3(1(4(4(0(5(2(4(4(0(2(5(4(2(5(4(0(3(3(0(2(4(5(4(1(1(4(0(1(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(2(0(4(5(1(5(3(5(4(4(3(2(3(4(2(4(5(2(5(2(3(5(2(3(1(3(4(3(4(1(0(4(0(1(5(5(5(0(4(4(3(2(1(5(0(0(3(4(2(3(0(5(2(4(5(1(4(2(3(0(3(5(5(0(4(5(1(0(5(2(0(4(3(1(3(2(5(1(5(4(5(5(4(2(3(5(3(2(1(0(5(5(1(4(4(5(4(1(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2(4(1(0(4(4(1(3(4(1(1(3(3(3(2(4(4(3(4(3(3(3(1(4(4(2(2(5(2(1(2(5(1(4(5(3(3(0(5(3(3(3(1(5(0(5(5(0(3(0(0(2(3(0(5(1(0(2(5(4(5(3(3(3(0(2(0(3(5(2(4(0(0(1(2(5(4(0(5(0(2(5(0(1(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(2(5(4(4(4(3(1(4(1(4(0(3(5(4(0(2(4(1(1(2(2(0(2(5(5(4(3(1(2(3(5(2(4(0(0(5(2(5(5(3(1(4(5(5(1(2(5(5(0(4(2(2(1(3(3(2(3(4(1(5(0(0(0(4(5(0(1(5(0(1(1(1(5(3(1(2(0(5(0(1(5(4(2(4(1(3(0(5(0(3(2(4(2(0(0(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(1(1(4(3(0(3(1(5(2(2(0(3(1(0(2(3(0(5(2(5(1(3(2(1(4(5(3(2(4(2(3(3(4(0(2(2(4(0(5(4(0(2(0(3(1(3(3(4(4(0(0(1(1(3(3(3(2(1(0(3(3(5(4(1(0(2(3(3(1(2(2(1(4(2(1(5(2(0(5(5(5(2(0(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(3(3(5(2(5(3(0(2(5(0(2(5(1(2(2(3(2(0(1(3(2(2(0(3(4(3(2(2(5(1(3(4(4(0(2(4(4(4(0(2(5(4(0(2(3(5(1(5(0(1(4(4(5(1(1(0(1(5(1(0(5(5(1(4(4(4(5(5(0(3(5(3(4(3(5(4(4(5(5(2(5(0(1(5(1(3(3(0(5(4(3(2(4(3(2(2(3(3(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(1(5(4(2(0(3(5(3(2(2(4(5(3(2(3(5(4(4(0(3(0(1(1(3(3(4(3(1(0(3(0(4(1(1(4(3(1(4(4(2(4(1(5(3(3(0(3(4(0(3(1(4(1(1(2(0(4(0(2(5(1(3(4(4(1(3(0(5(5(2(4(3(2(1(3(5(2(0(3(3(1(3(0(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(5(3(0(3(5(3(4(3(4(5(2(1(5(4(3(1(0(4(4(1(3(0(1(3(0(1(4(4(2(3(4(0(3(2(2(5(3(2(4(0(0(2(2(2(2(0(2(3(1(4(1(0(4(1(3(4(5(1(5(0(3(2(3(4(3(1(4(5(5(1(1(3(1(2(1(4(5(5(1(5(0(5(0(4(5(3(3(5(2(3(1(5(5(2(1(1(0(3(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(2(1(0(2(0(1(0(3(0(2(1(5(1(2(4(0(0(4(0(3(4(5(1(2(4(1(3(0(2(1(1(2(5(1(5(1(4(1(2(5(1(1(4(0(2(1(2(3(3(1(4(4(0(0(2(1(2(2(2(3(1(4(5(1(2(0(2(3(2(0(1(1(5(0(4(1(2(3(1(0(3(2(5(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(3(5(4(2(0(2(3(2(1(0(4(4(4(4(2(5(3(5(1(1(2(5(0(3(3(1(3(4(2(5(1(5(1(5(5(5(0(4(4(2(2(3(1(4(0(3(2(0(4(0(5(3(3(5(2(4(0(1(0(0(3(4(0(2(4(5(5(0(5(0(4(1(2(0(0(2(2(5(0(0(0(3(3(4(3(4(1(4(0(2(0(2(3(4(1(5(4(0(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(2(4(4(3(5(2(5(4(4(4(2(2(3(5(5(2(4(2(0(2(0(1(5(1(1(0(3(2(4(0(2(1(4(0(1(1(3(0(5(3(4(3(2(5(3(4(3(1(3(2(4(0(1(3(0(5(3(4(4(0(0(4(4(0(5(2(5(1(0(1(0(3(1(5(5(1(1(0(2(4(1(4(4(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(5(1(4(3(3(4(5(1(4(5(5(4(1(2(3(1(0(4(3(5(4(5(4(0(0(2(5(4(5(0(1(2(4(1(5(2(3(5(0(0(5(2(4(4(5(2(5(5(1(2(5(1(0(2(5(5(1(0(1(0(1(5(3(5(1(4(2(0(5(5(0(2(1(4(3(5(4(2(1(4(1(3(3(2(1(5(0(4(1(4(3(4(2(0(3(2(0(0(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(5(0(4(0(3(0(5(0(1(0(1(5(4(5(2(4(3(1(2(3(3(5(4(2(2(3(3(3(0(0(2(5(1(1(5(2(2(1(4(0(2(3(1(1(0(4(3(1(5(5(2(5(4(3(2(2(1(5(0(2(2(4(0(2(5(1(2(0(1(2(4(2(0(5(3(4(1(1(0(1(2(3(5(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(2(3(5(3(4(0(0(3(4(4(3(2(4(2(3(2(1(0(5(1(5(3(1(2(5(3(4(3(1(2(2(0(5(3(2(0(5(0(4(0(0(0(3(0(5(2(4(4(3(3(4(5(2(5(4(5(3(0(0(0(5(2(2(2(2(0(5(4(5(5(2(5(0(4(2(5(1(1(3(3(5(0(1(5(4(5(2(2(5(0(2(0(0(1(0(0(1(3(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(0(3(2(1(0(5(4(0(4(2(2(0(3(1(4(0(2(3(2(2(3(2(3(4(0(1(0(5(5(1(1(1(4(2(5(1(3(3(0(1(0(5(5(4(5(0(2(1(0(1(0(3(2(0(5(4(1(3(2(1(0(4(4(3(0(5(2(0(5(2(2(0(2(4(2(3(4(5(0(4(3(1(4(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(3(0(5(5(1(4(3(2(5(3(1(3(5(2(0(5(3(2(5(5(4(3(2(2(4(3(4(1(5(0(1(3(0(4(2(1(3(2(1(5(2(1(4(5(0(4(5(1(0(4(0(5(5(4(3(0(5(3(4(5(3(3(0(3(5(2(4(5(3(4(5(0(0(3(1(5(5(4(5(3(5(2(4(3(5(2(5(4(5(0(3(0(5(4(4(3(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(0(4(2(5(5(2(2(2(1(1(2(3(0(1(3(1(4(3(1(0(0(4(2(4(2(2(4(4(4(2(1(1(2(4(0(4(3(0(2(5(3(2(3(3(4(4(4(3(0(2(5(4(0(1(5(4(5(4(5(0(4(4(2(3(0(3(3(3(5(1(2(5(2(0(4(4(3(0(5(0(0(3(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(0(5(1(3(1(1(2(1(2(1(4(3(2(0(3(2(1(3(4(2(5(5(5(0(3(2(4(0(5(0(0(5(5(5(5(5(2(4(3(4(2(2(4(5(4(2(5(1(4(5(5(4(4(4(2(4(5(4(2(1(2(5(1(2(2(3(1(0(3(4(5(0(4(0(3(5(2(1(3(2(3(2(5(0(1(2(4(0(0(5(2(3(1(3(2(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(1(1(2(4(1(3(2(1(1(1(3(0(3(1(5(0(4(4(0(2(1(0(3(0(4(2(1(2(1(4(2(0(5(1(5(5(2(2(0(2(5(3(2(5(3(4(1(2(0(4(1(2(4(1(4(4(1(0(3(1(3(1(4(4(4(5(2(1(2(0(4(0(0(1(0(1(2(4(3(4(3(1(5(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(3(2(3(1(5(2(3(2(2(5(1(1(4(5(0(5(3(5(2(2(1(2(4(0(1(4(0(5(1(2(5(4(0(2(3(2(2(4(1(3(5(5(5(1(5(1(1(2(3(4(1(0(3(3(3(3(3(4(2(4(3(5(1(0(2(0(5(5(4(0(0(5(5(2(1(4(5(5(2(5(2(2(1(3(0(5(2(0(1(0(1(1(3(5(0(1(5(3(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(1(3(3(3(1(2(0(2(3(4(4(1(5(5(4(5(2(4(0(1(0(2(2(4(1(1(3(0(5(3(5(5(0(4(5(5(4(1(2(2(4(1(0(1(0(5(1(2(5(2(2(3(0(2(3(4(5(5(4(2(1(4(0(5(0(1(0(4(0(0(4(1(2(5(2(3(2(5(4(1(3(0(5(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(5(3(2(0(3(2(3(4(4(3(1(0(5(0(4(1(2(5(1(3(5(1(1(0(0(0(5(2(0(4(2(1(4(1(0(3(1(1(5(3(2(4(3(2(0(4(1(4(3(5(1(2(1(3(3(4(0(4(5(4(5(5(1(1(0(3(5(3(2(1(2(3(4(3(5(3(2(1(5(3(2(0(4(0(0(0(2(5(4(5(0(5(0(1(0(5(0(3(3(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(2(2(3(5(1(1(3(2(2(4(5(1(5(2(4(4(4(2(0(0(3(4(2(0(0(2(4(3(1(1(3(2(2(0(3(5(2(4(3(0(1(4(2(2(1(4(5(5(1(2(1(1(2(5(1(2(3(3(5(1(1(5(2(3(1(5(3(1(3(2(5(5(1(5(1(2(3(3(5(2(4(1(2(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(5(1(3(5(5(3(5(1(2(5(3(4(0(5(2(3(5(1(1(3(2(4(5(0(5(4(2(3(2(1(3(4(2(4(3(1(5(1(3(4(0(3(2(0(5(5(5(4(3(0(5(5(0(5(3(0(1(5(1(3(5(0(1(1(4(3(5(5(4(1(3(5(5(1(5(2(3(0(1(3(0(3(2(2(3(5(3(2(4(2(3(0(2(0(5(5(4(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(3(0(4(2(0(1(1(2(2(5(1(0(1(5(4(3(3(2(4(0(1(3(4(1(5(5(2(5(2(4(5(5(4(3(3(3(2(1(0(4(0(4(3(0(2(1(1(1(5(4(0(5(5(2(2(4(4(0(5(2(2(3(4(3(2(1(5(5(3(1(5(0(3(4(4(2(5(5(4(3(4(2(4(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4(2(1(2(2(3(2(5(0(5(3(2(4(0(3(2(4(3(3(0(5(5(5(1(4(0(1(2(1(4(4(1(3(1(2(5(3(0(5(3(5(5(5(0(5(2(3(1(0(2(4(1(2(3(5(1(1(1(0(0(5(5(0(4(3(5(5(0(1(4(0(5(1(0(2(1(1(4(5(5(5(4(3(1(1(5(4(1(2(4(0(5(0(2(5(5(3(4(5(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(3(1(0(0(2(0(3(5(2(1(4(3(2(1(2(2(4(4(3(0(4(4(2(3(4(1(4(2(2(3(4(4(1(5(2(5(1(4(3(1(0(1(1(5(0(0(0(0(1(2(1(2(2(3(0(5(0(2(5(4(3(3(1(3(4(1(4(4(0(0(1(4(3(3(5(4(1(5(4(0(4(5(1(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(5(4(5(0(1(4(4(5(0(1(5(4(5(0(3(4(0(3(4(3(1(4(5(1(1(4(3(2(0(4(0(2(4(5(5(1(5(3(1(4(3(4(5(3(4(0(4(4(1(5(2(5(5(2(0(1(3(2(5(1(5(2(3(0(4(2(2(2(0(3(0(5(3(3(1(4(4(5(5(4(2(5(5(3(5(3(0(3(4(5(5(0(5(5(3(3(4(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(5(0(4(1(4(1(4(3(1(4(0(2(0(3(4(1(3(3(3(4(0(0(2(1(2(5(4(0(2(5(2(3(2(1(2(4(0(2(4(1(1(4(0(3(1(1(4(3(1(2(2(4(2(2(0(4(4(3(4(4(4(0(1(4(5(0(1(2(5(4(2(3(1(1(0(5(4(2(2(0(2(1(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(2(4(4(4(5(0(4(2(1(1(2(4(4(0(3(3(1(5(4(2(1(4(0(0(0(1(1(1(3(0(2(5(0(0(4(5(2(3(1(4(4(3(5(2(2(5(3(1(0(2(3(2(1(2(4(5(1(4(4(4(5(0(0(5(3(4(1(3(1(4(0(1(1(5(0(0(2(0(2(1(3(4(3(2(0(5(2(2(3(5(5(5(2(3(2(4(4(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 5(5(3(4(1(0(5(0(4(2(3(3(2(1(0(4(0(5(3(2(1(4(2(1(4(0(0(3(0(2(0(0(3(1(2(3(5(5(2(1(3(0(4(2(1(2(4(0(0(5(1(4(4(0(1(5(5(1(5(2(1(0(2(3(3(0(2(3(0(1(1(0(5(2(0(0(5(3(1(0(0(1(1(4(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(4(2(4(4(5(3(2(5(0(1(1(3(0(0(4(5(1(5(0(1(3(5(5(4(1(5(1(4(3(2(5(3(3(0(0(1(2(1(0(5(4(0(0(0(0(5(5(5(1(4(5(5(2(1(3(4(3(5(0(3(3(5(5(4(0(2(3(0(2(0(5(4(5(0(2(4(5(1(2(2(4(2(0(3(4(1(3(1(1(1(5(5(1(5(2(5(3(4(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) S is empty. Rewrite Strategy: FULL ---------------------------------------- (7) CpxTrsMatchBoundsProof (FINISHED) A linear upper bound on the runtime complexity of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 2. The certificate found is represented by the following graph. "[129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111] {(129,130,[0_1|0, 2_1|0, 3_1|0, 4_1|0, 5_1|0, encArg_1|0, encode_0_1|0, encode_1_1|0, encode_2_1|0, encode_3_1|0, encode_4_1|0, encode_5_1|0]), (129,131,[1_1|1, 0_1|1, 2_1|1, 3_1|1, 4_1|1, 5_1|1]), (129,132,[5_1|2]), (129,231,[0_1|2]), (129,330,[3_1|2]), (129,429,[4_1|2]), (129,528,[3_1|2]), (129,627,[4_1|2]), (129,726,[3_1|2]), (129,825,[5_1|2]), (129,924,[1_1|2]), (129,1023,[0_1|2]), (129,1122,[5_1|2]), (129,1221,[2_1|2]), (129,1320,[1_1|2]), (129,1419,[2_1|2]), (129,1518,[5_1|2]), (129,1617,[2_1|2]), (129,1716,[4_1|2]), (129,1815,[1_1|2]), (129,1914,[1_1|2]), (129,2013,[1_1|2]), (130,130,[1_1|0, cons_0_1|0, cons_2_1|0, cons_3_1|0, cons_4_1|0, cons_5_1|0]), (131,130,[encArg_1|1]), (131,131,[1_1|1, 0_1|1, 2_1|1, 3_1|1, 4_1|1, 5_1|1]), (131,132,[5_1|2]), (131,231,[0_1|2]), (131,330,[3_1|2]), (131,429,[4_1|2]), (131,528,[3_1|2]), (131,627,[4_1|2]), (131,726,[3_1|2]), (131,825,[5_1|2]), (131,924,[1_1|2]), (131,1023,[0_1|2]), (131,1122,[5_1|2]), (131,1221,[2_1|2]), (131,1320,[1_1|2]), (131,1419,[2_1|2]), (131,1518,[5_1|2]), (131,1617,[2_1|2]), (131,1716,[4_1|2]), (131,1815,[1_1|2]), (131,1914,[1_1|2]), (131,2013,[1_1|2]), (132,133,[0_1|2]), (133,134,[3_1|2]), (134,135,[5_1|2]), (135,136,[1_1|2]), (136,137,[2_1|2]), (137,138,[4_1|2]), (138,139,[1_1|2]), (139,140,[3_1|2]), (140,141,[2_1|2]), (141,142,[0_1|2]), (142,143,[0_1|2]), (143,144,[1_1|2]), (144,145,[4_1|2]), (145,146,[0_1|2]), (146,147,[1_1|2]), (147,148,[2_1|2]), (148,149,[1_1|2]), (149,150,[5_1|2]), (150,151,[3_1|2]), (151,152,[1_1|2]), (152,153,[4_1|2]), (153,154,[0_1|2]), (154,155,[0_1|2]), (155,156,[4_1|2]), (156,157,[4_1|2]), (157,158,[2_1|2]), (158,159,[1_1|2]), (159,160,[5_1|2]), (160,161,[3_1|2]), (161,162,[1_1|2]), (162,163,[5_1|2]), (163,164,[3_1|2]), (164,165,[2_1|2]), (165,166,[5_1|2]), (166,167,[2_1|2]), (167,168,[3_1|2]), (168,169,[3_1|2]), (169,170,[3_1|2]), (170,171,[4_1|2]), (171,172,[3_1|2]), (172,173,[2_1|2]), (173,174,[0_1|2]), (174,175,[2_1|2]), (175,176,[2_1|2]), (176,177,[0_1|2]), (177,178,[5_1|2]), (178,179,[0_1|2]), (179,180,[3_1|2]), (180,181,[4_1|2]), (181,182,[0_1|2]), (182,183,[1_1|2]), (183,184,[4_1|2]), (184,185,[0_1|2]), (185,186,[5_1|2]), (186,187,[3_1|2]), (187,188,[0_1|2]), (188,189,[5_1|2]), (189,190,[4_1|2]), (190,191,[0_1|2]), (191,192,[5_1|2]), (192,193,[5_1|2]), (193,194,[4_1|2]), (194,195,[4_1|2]), (195,196,[2_1|2]), (196,197,[3_1|2]), (197,198,[1_1|2]), (198,199,[4_1|2]), (199,200,[1_1|2]), (200,201,[5_1|2]), (201,202,[1_1|2]), (202,203,[1_1|2]), (203,204,[0_1|2]), (204,205,[4_1|2]), (205,206,[3_1|2]), (206,207,[3_1|2]), (207,208,[0_1|2]), (208,209,[0_1|2]), (209,210,[5_1|2]), (210,211,[1_1|2]), (211,212,[0_1|2]), (212,213,[2_1|2]), (213,214,[2_1|2]), (214,215,[3_1|2]), (215,216,[2_1|2]), (216,217,[5_1|2]), (217,218,[5_1|2]), (218,219,[3_1|2]), (219,220,[1_1|2]), (220,221,[1_1|2]), (221,222,[5_1|2]), (222,223,[0_1|2]), (223,224,[1_1|2]), (224,225,[2_1|2]), (225,226,[4_1|2]), (226,227,[1_1|2]), (227,228,[5_1|2]), (228,229,[0_1|2]), (229,230,[0_1|2]), (230,131,[5_1|2]), (230,231,[5_1|2]), (230,1023,[5_1|2]), (230,1225,[5_1|2]), (230,2013,[1_1|2]), (231,232,[4_1|2]), (232,233,[3_1|2]), (233,234,[2_1|2]), (234,235,[3_1|2]), (235,236,[4_1|2]), (236,237,[1_1|2]), (237,238,[5_1|2]), (238,239,[4_1|2]), (239,240,[2_1|2]), (240,241,[5_1|2]), (241,242,[0_1|2]), (242,243,[3_1|2]), (243,244,[4_1|2]), (244,245,[4_1|2]), (245,246,[2_1|2]), (246,247,[5_1|2]), (247,248,[5_1|2]), (248,249,[1_1|2]), (249,250,[3_1|2]), (250,251,[2_1|2]), (251,252,[0_1|2]), (252,253,[5_1|2]), (253,254,[5_1|2]), (254,255,[5_1|2]), (255,256,[5_1|2]), (256,257,[4_1|2]), (257,258,[0_1|2]), (258,259,[4_1|2]), (259,260,[3_1|2]), (260,261,[1_1|2]), (261,262,[0_1|2]), (262,263,[4_1|2]), (263,264,[1_1|2]), (264,265,[1_1|2]), (265,266,[1_1|2]), (266,267,[2_1|2]), (267,268,[2_1|2]), (268,269,[2_1|2]), (269,270,[3_1|2]), (270,271,[1_1|2]), (271,272,[3_1|2]), (272,273,[2_1|2]), (273,274,[2_1|2]), (274,275,[4_1|2]), (275,276,[4_1|2]), (276,277,[3_1|2]), (277,278,[5_1|2]), (278,279,[0_1|2]), (279,280,[3_1|2]), (280,281,[1_1|2]), (281,282,[0_1|2]), (282,283,[4_1|2]), (283,284,[2_1|2]), (284,285,[4_1|2]), (285,286,[1_1|2]), (286,287,[5_1|2]), (287,288,[0_1|2]), (288,289,[3_1|2]), (289,290,[5_1|2]), (290,291,[0_1|2]), (291,292,[4_1|2]), (292,293,[2_1|2]), (293,294,[0_1|2]), (294,295,[0_1|2]), (295,296,[0_1|2]), (296,297,[5_1|2]), (297,298,[2_1|2]), (298,299,[2_1|2]), (299,300,[4_1|2]), (300,301,[4_1|2]), (301,302,[3_1|2]), (302,303,[4_1|2]), (303,304,[3_1|2]), (304,305,[0_1|2]), (305,306,[4_1|2]), (306,307,[1_1|2]), (307,308,[0_1|2]), (308,309,[1_1|2]), (309,310,[4_1|2]), (310,311,[0_1|2]), (311,312,[0_1|2]), (312,313,[0_1|2]), (313,314,[5_1|2]), (314,315,[2_1|2]), (315,316,[5_1|2]), (316,317,[1_1|2]), (317,318,[4_1|2]), (318,319,[4_1|2]), (319,320,[4_1|2]), (320,321,[3_1|2]), (321,322,[3_1|2]), (322,323,[0_1|2]), (323,324,[1_1|2]), (324,325,[2_1|2]), (325,326,[3_1|2]), (326,327,[5_1|2]), (327,328,[3_1|2]), (328,329,[5_1|2]), (329,131,[4_1|2]), (329,429,[4_1|2]), (329,627,[4_1|2]), (329,1716,[4_1|2]), (329,232,[4_1|2]), (329,1221,[2_1|2]), (329,1320,[1_1|2]), (329,1419,[2_1|2]), (329,1518,[5_1|2]), (329,1617,[2_1|2]), (329,1815,[1_1|2]), (329,1914,[1_1|2]), (330,331,[3_1|2]), (331,332,[0_1|2]), (332,333,[2_1|2]), (333,334,[2_1|2]), (334,335,[2_1|2]), (335,336,[2_1|2]), (336,337,[4_1|2]), (337,338,[5_1|2]), (338,339,[3_1|2]), (339,340,[3_1|2]), (340,341,[5_1|2]), (341,342,[4_1|2]), (342,343,[2_1|2]), (343,344,[3_1|2]), (344,345,[5_1|2]), (345,346,[0_1|2]), (346,347,[0_1|2]), (347,348,[3_1|2]), (348,349,[2_1|2]), (349,350,[5_1|2]), (350,351,[0_1|2]), (351,352,[3_1|2]), (352,353,[3_1|2]), (353,354,[2_1|2]), (354,355,[5_1|2]), (355,356,[3_1|2]), (356,357,[5_1|2]), (357,358,[5_1|2]), (358,359,[2_1|2]), (359,360,[1_1|2]), (360,361,[5_1|2]), (361,362,[5_1|2]), (362,363,[5_1|2]), (363,364,[1_1|2]), (364,365,[5_1|2]), (365,366,[3_1|2]), (366,367,[4_1|2]), (367,368,[0_1|2]), (368,369,[5_1|2]), (369,370,[1_1|2]), (370,371,[2_1|2]), (371,372,[5_1|2]), (372,373,[5_1|2]), (373,374,[2_1|2]), (374,375,[3_1|2]), (375,376,[2_1|2]), (376,377,[2_1|2]), (377,378,[4_1|2]), (378,379,[0_1|2]), (379,380,[0_1|2]), (380,381,[2_1|2]), (381,382,[5_1|2]), (382,383,[5_1|2]), (383,384,[4_1|2]), (384,385,[3_1|2]), (385,386,[4_1|2]), (386,387,[4_1|2]), (387,388,[2_1|2]), (388,389,[3_1|2]), (389,390,[4_1|2]), (390,391,[5_1|2]), (391,392,[4_1|2]), (392,393,[1_1|2]), (393,394,[1_1|2]), (394,395,[2_1|2]), (395,396,[2_1|2]), (396,397,[0_1|2]), (397,398,[2_1|2]), (398,399,[5_1|2]), (399,400,[3_1|2]), (400,401,[2_1|2]), (401,402,[3_1|2]), (402,403,[2_1|2]), (403,404,[0_1|2]), (404,405,[4_1|2]), (405,406,[4_1|2]), (406,407,[3_1|2]), (407,408,[2_1|2]), (408,409,[0_1|2]), (409,410,[5_1|2]), (410,411,[3_1|2]), (411,412,[5_1|2]), (412,413,[5_1|2]), (413,414,[3_1|2]), (414,415,[2_1|2]), (415,416,[1_1|2]), (416,417,[3_1|2]), (417,418,[0_1|2]), (418,419,[3_1|2]), (419,420,[0_1|2]), (420,421,[3_1|2]), (421,422,[2_1|2]), (422,423,[4_1|2]), (423,424,[5_1|2]), (424,425,[3_1|2]), (425,426,[2_1|2]), (426,427,[2_1|2]), (427,428,[0_1|2]), (428,131,[5_1|2]), (428,924,[5_1|2]), (428,1320,[5_1|2]), (428,1815,[5_1|2]), (428,1914,[5_1|2]), (428,2013,[5_1|2, 1_1|2]), (428,1321,[5_1|2]), (429,430,[0_1|2]), (430,431,[5_1|2]), (431,432,[5_1|2]), (432,433,[5_1|2]), (433,434,[0_1|2]), (434,435,[5_1|2]), (435,436,[0_1|2]), (436,437,[3_1|2]), (437,438,[5_1|2]), (438,439,[5_1|2]), (439,440,[4_1|2]), (440,441,[5_1|2]), (441,442,[3_1|2]), (442,443,[0_1|2]), (443,444,[0_1|2]), (444,445,[3_1|2]), (445,446,[5_1|2]), (446,447,[4_1|2]), (447,448,[1_1|2]), (448,449,[3_1|2]), (449,450,[0_1|2]), (450,451,[2_1|2]), (451,452,[5_1|2]), (452,453,[4_1|2]), (453,454,[5_1|2]), (454,455,[1_1|2]), (455,456,[5_1|2]), (456,457,[3_1|2]), (457,458,[3_1|2]), (458,459,[2_1|2]), (459,460,[0_1|2]), (460,461,[4_1|2]), (461,462,[1_1|2]), (462,463,[1_1|2]), (463,464,[2_1|2]), (464,465,[1_1|2]), (465,466,[0_1|2]), (466,467,[0_1|2]), (467,468,[3_1|2]), (468,469,[5_1|2]), (469,470,[5_1|2]), (470,471,[4_1|2]), (471,472,[3_1|2]), (472,473,[0_1|2]), (473,474,[0_1|2]), (474,475,[5_1|2]), (475,476,[0_1|2]), (476,477,[1_1|2]), (477,478,[2_1|2]), (478,479,[2_1|2]), (479,480,[2_1|2]), (480,481,[4_1|2]), (481,482,[5_1|2]), (482,483,[5_1|2]), (483,484,[2_1|2]), (484,485,[1_1|2]), (485,486,[5_1|2]), (486,487,[4_1|2]), (487,488,[2_1|2]), (488,489,[0_1|2]), (489,490,[4_1|2]), (490,491,[1_1|2]), (491,492,[4_1|2]), (492,493,[0_1|2]), (493,494,[0_1|2]), (494,495,[0_1|2]), (495,496,[4_1|2]), (496,497,[0_1|2]), (497,498,[0_1|2]), (498,499,[3_1|2]), (499,500,[3_1|2]), (500,501,[4_1|2]), (501,502,[4_1|2]), (502,503,[5_1|2]), (503,504,[5_1|2]), (504,505,[4_1|2]), (505,506,[1_1|2]), (506,507,[3_1|2]), (507,508,[5_1|2]), (508,509,[1_1|2]), (509,510,[2_1|2]), (510,511,[4_1|2]), (511,512,[5_1|2]), (512,513,[1_1|2]), (513,514,[0_1|2]), (514,515,[5_1|2]), (515,516,[2_1|2]), (516,517,[5_1|2]), (517,518,[5_1|2]), (518,519,[0_1|2]), (519,520,[4_1|2]), (520,521,[1_1|2]), (521,522,[1_1|2]), (522,523,[3_1|2]), (523,524,[5_1|2]), (524,525,[2_1|2]), (525,526,[4_1|2]), (526,527,[4_1|2]), (526,1221,[2_1|2]), (526,1320,[1_1|2]), (527,131,[0_1|2]), (527,231,[0_1|2]), (527,1023,[0_1|2]), (527,430,[0_1|2]), (527,132,[5_1|2]), (527,330,[3_1|2]), (528,529,[2_1|2]), (529,530,[0_1|2]), (530,531,[4_1|2]), (531,532,[5_1|2]), (532,533,[1_1|2]), (533,534,[5_1|2]), (534,535,[3_1|2]), (535,536,[5_1|2]), (536,537,[4_1|2]), (537,538,[4_1|2]), (538,539,[3_1|2]), (539,540,[2_1|2]), (540,541,[3_1|2]), (541,542,[4_1|2]), (542,543,[2_1|2]), (543,544,[4_1|2]), (544,545,[5_1|2]), (545,546,[2_1|2]), (546,547,[5_1|2]), (547,548,[2_1|2]), (548,549,[3_1|2]), (549,550,[5_1|2]), (550,551,[2_1|2]), (551,552,[3_1|2]), (552,553,[1_1|2]), (553,554,[3_1|2]), (554,555,[4_1|2]), (555,556,[3_1|2]), (556,557,[4_1|2]), (557,558,[1_1|2]), (558,559,[0_1|2]), (559,560,[4_1|2]), (560,561,[0_1|2]), (561,562,[1_1|2]), (562,563,[5_1|2]), (563,564,[5_1|2]), (564,565,[5_1|2]), (565,566,[0_1|2]), (566,567,[4_1|2]), (567,568,[4_1|2]), (568,569,[3_1|2]), (569,570,[2_1|2]), (570,571,[1_1|2]), (571,572,[5_1|2]), (572,573,[0_1|2]), (573,574,[0_1|2]), (574,575,[3_1|2]), (575,576,[4_1|2]), (576,577,[2_1|2]), (577,578,[3_1|2]), (578,579,[0_1|2]), (579,580,[5_1|2]), (580,581,[2_1|2]), (581,582,[4_1|2]), (582,583,[5_1|2]), (583,584,[1_1|2]), (584,585,[4_1|2]), (585,586,[2_1|2]), (586,587,[3_1|2]), (587,588,[0_1|2]), (588,589,[3_1|2]), (589,590,[5_1|2]), (590,591,[5_1|2]), (591,592,[0_1|2]), (592,593,[4_1|2]), (593,594,[5_1|2]), (594,595,[1_1|2]), (595,596,[0_1|2]), (596,597,[5_1|2]), (597,598,[2_1|2]), (598,599,[0_1|2]), (599,600,[4_1|2]), (600,601,[3_1|2]), (601,602,[1_1|2]), (602,603,[3_1|2]), (603,604,[2_1|2]), (604,605,[5_1|2]), (605,606,[1_1|2]), (606,607,[5_1|2]), (607,608,[4_1|2]), (608,609,[5_1|2]), (609,610,[5_1|2]), (610,611,[4_1|2]), (611,612,[2_1|2]), (612,613,[3_1|2]), (613,614,[5_1|2]), (614,615,[3_1|2]), (615,616,[2_1|2]), (616,617,[1_1|2]), (617,618,[0_1|2]), (618,619,[5_1|2]), (619,620,[5_1|2]), (620,621,[1_1|2]), (621,622,[4_1|2]), (622,623,[4_1|2]), (623,624,[5_1|2]), (624,625,[4_1|2]), (625,626,[1_1|2]), (626,131,[4_1|2]), (626,330,[4_1|2]), (626,528,[4_1|2]), (626,726,[4_1|2]), (626,925,[4_1|2]), (626,1221,[2_1|2]), (626,1320,[1_1|2]), (626,1419,[2_1|2]), (626,1518,[5_1|2]), (626,1617,[2_1|2]), (626,1716,[4_1|2]), (626,1815,[1_1|2]), (626,1914,[1_1|2]), (627,628,[2_1|2]), (628,629,[5_1|2]), (629,630,[4_1|2]), (630,631,[4_1|2]), (631,632,[4_1|2]), (632,633,[3_1|2]), (633,634,[1_1|2]), (634,635,[4_1|2]), (635,636,[1_1|2]), (636,637,[4_1|2]), (637,638,[0_1|2]), (638,639,[3_1|2]), (639,640,[5_1|2]), (640,641,[4_1|2]), (641,642,[0_1|2]), (642,643,[2_1|2]), (643,644,[4_1|2]), (644,645,[1_1|2]), (645,646,[1_1|2]), (646,647,[2_1|2]), (647,648,[2_1|2]), (648,649,[0_1|2]), (649,650,[2_1|2]), (650,651,[5_1|2]), (651,652,[5_1|2]), (652,653,[4_1|2]), (653,654,[3_1|2]), (654,655,[1_1|2]), (655,656,[2_1|2]), (656,657,[3_1|2]), (657,658,[5_1|2]), (658,659,[2_1|2]), (659,660,[4_1|2]), (660,661,[0_1|2]), (661,662,[0_1|2]), (662,663,[5_1|2]), (663,664,[2_1|2]), (664,665,[5_1|2]), (665,666,[5_1|2]), (666,667,[3_1|2]), (667,668,[1_1|2]), (668,669,[4_1|2]), (669,670,[5_1|2]), (670,671,[5_1|2]), (671,672,[1_1|2]), (672,673,[2_1|2]), (673,674,[5_1|2]), (674,675,[5_1|2]), (675,676,[0_1|2]), (676,677,[4_1|2]), (677,678,[2_1|2]), (678,679,[2_1|2]), (679,680,[1_1|2]), (680,681,[3_1|2]), (681,682,[3_1|2]), (682,683,[2_1|2]), (683,684,[3_1|2]), (684,685,[4_1|2]), (685,686,[1_1|2]), (686,687,[5_1|2]), (687,688,[0_1|2]), (688,689,[0_1|2]), (689,690,[0_1|2]), (690,691,[4_1|2]), (691,692,[5_1|2]), (692,693,[0_1|2]), (693,694,[1_1|2]), (694,695,[5_1|2]), (695,696,[0_1|2]), (696,697,[1_1|2]), (697,698,[1_1|2]), (698,699,[1_1|2]), (699,700,[5_1|2]), (700,701,[3_1|2]), (701,702,[1_1|2]), (702,703,[2_1|2]), (703,704,[0_1|2]), (704,705,[5_1|2]), (705,706,[0_1|2]), (706,707,[1_1|2]), (707,708,[5_1|2]), (708,709,[4_1|2]), (709,710,[2_1|2]), (710,711,[4_1|2]), (711,712,[1_1|2]), (712,713,[3_1|2]), (713,714,[0_1|2]), (714,715,[5_1|2]), (715,716,[0_1|2]), (716,717,[3_1|2]), (717,718,[2_1|2]), (718,719,[4_1|2]), (719,720,[2_1|2]), (720,721,[0_1|2]), (721,722,[0_1|2]), (722,723,[0_1|2]), (723,724,[0_1|2]), (724,725,[1_1|2]), (725,131,[1_1|2]), (725,1221,[1_1|2]), (725,1419,[1_1|2]), (725,1617,[1_1|2]), (725,1816,[1_1|2]), (725,1915,[1_1|2]), (726,727,[3_1|2]), (727,728,[3_1|2]), (728,729,[5_1|2]), (729,730,[2_1|2]), (730,731,[5_1|2]), (731,732,[3_1|2]), (732,733,[0_1|2]), (733,734,[2_1|2]), (734,735,[5_1|2]), (735,736,[0_1|2]), (736,737,[2_1|2]), (737,738,[5_1|2]), (738,739,[1_1|2]), (739,740,[2_1|2]), (740,741,[2_1|2]), (741,742,[3_1|2]), (742,743,[2_1|2]), (743,744,[0_1|2]), (744,745,[1_1|2]), (745,746,[3_1|2]), (746,747,[2_1|2]), (747,748,[2_1|2]), (748,749,[0_1|2]), (749,750,[3_1|2]), (750,751,[4_1|2]), (751,752,[3_1|2]), (752,753,[2_1|2]), (753,754,[2_1|2]), (754,755,[5_1|2]), (755,756,[1_1|2]), (756,757,[3_1|2]), (757,758,[4_1|2]), (758,759,[4_1|2]), (759,760,[0_1|2]), (760,761,[2_1|2]), (761,762,[4_1|2]), (762,763,[4_1|2]), (763,764,[4_1|2]), (764,765,[0_1|2]), (765,766,[2_1|2]), (766,767,[5_1|2]), (767,768,[4_1|2]), (768,769,[0_1|2]), (769,770,[2_1|2]), (770,771,[3_1|2]), (771,772,[5_1|2]), (772,773,[1_1|2]), (773,774,[5_1|2]), (774,775,[0_1|2]), (775,776,[1_1|2]), (776,777,[4_1|2]), (777,778,[4_1|2]), (778,779,[5_1|2]), (779,780,[1_1|2]), (780,781,[1_1|2]), (781,782,[0_1|2]), (782,783,[1_1|2]), (783,784,[5_1|2]), (784,785,[1_1|2]), (785,786,[0_1|2]), (786,787,[5_1|2]), (787,788,[5_1|2]), (788,789,[1_1|2]), (789,790,[4_1|2]), (790,791,[4_1|2]), (791,792,[4_1|2]), (792,793,[5_1|2]), (793,794,[5_1|2]), (794,795,[0_1|2]), (795,796,[3_1|2]), (796,797,[5_1|2]), (797,798,[3_1|2]), (798,799,[4_1|2]), (799,800,[3_1|2]), (800,801,[5_1|2]), (801,802,[4_1|2]), (802,803,[4_1|2]), (803,804,[5_1|2]), (804,805,[5_1|2]), (805,806,[2_1|2]), (806,807,[5_1|2]), (807,808,[0_1|2]), (808,809,[1_1|2]), (809,810,[5_1|2]), (810,811,[1_1|2]), (811,812,[3_1|2]), (812,813,[3_1|2]), (813,814,[0_1|2]), (814,815,[5_1|2]), (815,816,[4_1|2]), (816,817,[3_1|2]), (817,818,[2_1|2]), (818,819,[4_1|2]), (819,820,[3_1|2]), (820,821,[2_1|2]), (821,822,[2_1|2]), (822,823,[3_1|2]), (823,824,[3_1|2]), (823,726,[3_1|2]), (823,825,[5_1|2]), (824,131,[1_1|2]), (824,330,[1_1|2]), (824,528,[1_1|2]), (824,726,[1_1|2]), (825,826,[5_1|2]), (826,827,[3_1|2]), (827,828,[0_1|2]), (828,829,[3_1|2]), (829,830,[5_1|2]), (830,831,[3_1|2]), (831,832,[4_1|2]), (832,833,[3_1|2]), (833,834,[4_1|2]), (834,835,[5_1|2]), (835,836,[2_1|2]), (836,837,[1_1|2]), (837,838,[5_1|2]), (838,839,[4_1|2]), (839,840,[3_1|2]), (840,841,[1_1|2]), (841,842,[0_1|2]), (842,843,[4_1|2]), (843,844,[4_1|2]), (844,845,[1_1|2]), (845,846,[3_1|2]), (846,847,[0_1|2]), (847,848,[1_1|2]), (848,849,[3_1|2]), (849,850,[0_1|2]), (850,851,[1_1|2]), (851,852,[4_1|2]), (852,853,[4_1|2]), (853,854,[2_1|2]), (854,855,[3_1|2]), (855,856,[4_1|2]), (856,857,[0_1|2]), (857,858,[3_1|2]), (858,859,[2_1|2]), (859,860,[2_1|2]), (860,861,[5_1|2]), (861,862,[3_1|2]), (862,863,[2_1|2]), (863,864,[4_1|2]), (864,865,[0_1|2]), (865,866,[0_1|2]), (866,867,[2_1|2]), (867,868,[2_1|2]), (868,869,[2_1|2]), (869,870,[2_1|2]), (870,871,[0_1|2]), (871,872,[2_1|2]), (872,873,[3_1|2]), (873,874,[1_1|2]), (874,875,[4_1|2]), (875,876,[1_1|2]), (876,877,[0_1|2]), (877,878,[4_1|2]), (878,879,[1_1|2]), (879,880,[3_1|2]), (880,881,[4_1|2]), (881,882,[5_1|2]), (882,883,[1_1|2]), (883,884,[5_1|2]), (884,885,[0_1|2]), (885,886,[3_1|2]), (886,887,[2_1|2]), (887,888,[3_1|2]), (888,889,[4_1|2]), (889,890,[3_1|2]), (890,891,[1_1|2]), (891,892,[4_1|2]), (892,893,[5_1|2]), (893,894,[5_1|2]), (894,895,[1_1|2]), (895,896,[1_1|2]), (896,897,[3_1|2]), (897,898,[1_1|2]), (898,899,[2_1|2]), (899,900,[1_1|2]), (900,901,[4_1|2]), (901,902,[5_1|2]), (902,903,[5_1|2]), (903,904,[1_1|2]), (904,905,[5_1|2]), (905,906,[0_1|2]), (906,907,[5_1|2]), (907,908,[0_1|2]), (908,909,[4_1|2]), (909,910,[5_1|2]), (910,911,[3_1|2]), (911,912,[3_1|2]), (912,913,[5_1|2]), (913,914,[2_1|2]), (914,915,[3_1|2]), (915,916,[1_1|2]), (916,917,[5_1|2]), (917,918,[5_1|2]), (918,919,[2_1|2]), (919,920,[1_1|2]), (920,921,[1_1|2]), (921,922,[0_1|2]), (922,923,[3_1|2]), (922,1122,[5_1|2]), (923,131,[5_1|2]), (923,429,[5_1|2]), (923,627,[5_1|2]), (923,1716,[5_1|2]), (923,232,[5_1|2]), (923,2013,[1_1|2]), (924,925,[3_1|2]), (925,926,[5_1|2]), (926,927,[4_1|2]), (927,928,[2_1|2]), (928,929,[0_1|2]), (929,930,[2_1|2]), (930,931,[3_1|2]), (931,932,[2_1|2]), (932,933,[1_1|2]), (933,934,[0_1|2]), (934,935,[4_1|2]), (935,936,[4_1|2]), (936,937,[4_1|2]), (937,938,[4_1|2]), (938,939,[2_1|2]), (939,940,[5_1|2]), (940,941,[3_1|2]), (941,942,[5_1|2]), (942,943,[1_1|2]), (943,944,[1_1|2]), (944,945,[2_1|2]), (945,946,[5_1|2]), (946,947,[0_1|2]), (947,948,[3_1|2]), (948,949,[3_1|2]), (949,950,[1_1|2]), (950,951,[3_1|2]), (951,952,[4_1|2]), (952,953,[2_1|2]), (953,954,[5_1|2]), (954,955,[1_1|2]), (955,956,[5_1|2]), (956,957,[1_1|2]), (957,958,[5_1|2]), (958,959,[5_1|2]), (959,960,[5_1|2]), (960,961,[0_1|2]), (961,962,[4_1|2]), (962,963,[4_1|2]), (963,964,[2_1|2]), (964,965,[2_1|2]), (965,966,[3_1|2]), (966,967,[1_1|2]), (967,968,[4_1|2]), (968,969,[0_1|2]), (969,970,[3_1|2]), (970,971,[2_1|2]), (971,972,[0_1|2]), (972,973,[4_1|2]), (973,974,[0_1|2]), (974,975,[5_1|2]), (975,976,[3_1|2]), (976,977,[3_1|2]), (977,978,[5_1|2]), (978,979,[2_1|2]), (979,980,[4_1|2]), (980,981,[0_1|2]), (981,982,[1_1|2]), (982,983,[0_1|2]), (983,984,[0_1|2]), (984,985,[3_1|2]), (985,986,[4_1|2]), (986,987,[0_1|2]), (987,988,[2_1|2]), (988,989,[4_1|2]), (989,990,[5_1|2]), (990,991,[5_1|2]), (991,992,[0_1|2]), (992,993,[5_1|2]), (993,994,[0_1|2]), (994,995,[4_1|2]), (995,996,[1_1|2]), (996,997,[2_1|2]), (997,998,[0_1|2]), (998,999,[0_1|2]), (999,1000,[2_1|2]), (1000,1001,[2_1|2]), (1001,1002,[5_1|2]), (1002,1003,[0_1|2]), (1003,1004,[0_1|2]), (1004,1005,[0_1|2]), (1005,1006,[3_1|2]), (1006,1007,[3_1|2]), (1007,1008,[4_1|2]), (1008,1009,[3_1|2]), (1009,1010,[4_1|2]), (1010,1011,[1_1|2]), (1011,1012,[4_1|2]), (1012,1013,[0_1|2]), (1013,1014,[2_1|2]), (1014,1015,[0_1|2]), (1015,1016,[2_1|2]), (1016,1017,[3_1|2]), (1017,1018,[4_1|2]), (1018,1019,[1_1|2]), (1019,1020,[5_1|2]), (1020,1021,[4_1|2]), (1021,1022,[0_1|2]), (1022,131,[5_1|2]), (1022,330,[5_1|2]), (1022,528,[5_1|2]), (1022,726,[5_1|2]), (1022,2013,[1_1|2]), (1023,1024,[5_1|2]), (1024,1025,[1_1|2]), (1025,1026,[4_1|2]), (1026,1027,[3_1|2]), (1027,1028,[3_1|2]), (1028,1029,[4_1|2]), (1029,1030,[5_1|2]), (1030,1031,[1_1|2]), (1031,1032,[4_1|2]), (1032,1033,[5_1|2]), (1033,1034,[5_1|2]), (1034,1035,[4_1|2]), (1035,1036,[1_1|2]), (1036,1037,[2_1|2]), (1037,1038,[3_1|2]), (1038,1039,[1_1|2]), (1039,1040,[0_1|2]), (1040,1041,[4_1|2]), (1041,1042,[3_1|2]), (1042,1043,[5_1|2]), (1043,1044,[4_1|2]), (1044,1045,[5_1|2]), (1045,1046,[4_1|2]), (1046,1047,[0_1|2]), (1047,1048,[0_1|2]), (1048,1049,[2_1|2]), (1049,1050,[5_1|2]), (1050,1051,[4_1|2]), (1051,1052,[5_1|2]), (1052,1053,[0_1|2]), (1053,1054,[1_1|2]), (1054,1055,[2_1|2]), (1055,1056,[4_1|2]), (1056,1057,[1_1|2]), (1057,1058,[5_1|2]), (1058,1059,[2_1|2]), (1059,1060,[3_1|2]), (1060,1061,[5_1|2]), (1061,1062,[0_1|2]), (1062,1063,[0_1|2]), (1063,1064,[5_1|2]), (1064,1065,[2_1|2]), (1065,1066,[4_1|2]), (1066,1067,[4_1|2]), (1067,1068,[5_1|2]), (1068,1069,[2_1|2]), (1069,1070,[5_1|2]), (1070,1071,[5_1|2]), (1071,1072,[1_1|2]), (1072,1073,[2_1|2]), (1073,1074,[5_1|2]), (1074,1075,[1_1|2]), (1075,1076,[0_1|2]), (1076,1077,[2_1|2]), (1077,1078,[5_1|2]), (1078,1079,[5_1|2]), (1079,1080,[1_1|2]), (1080,1081,[0_1|2]), (1081,1082,[1_1|2]), (1082,1083,[0_1|2]), (1083,1084,[1_1|2]), (1084,1085,[5_1|2]), (1085,1086,[3_1|2]), (1086,1087,[5_1|2]), (1087,1088,[1_1|2]), (1088,1089,[4_1|2]), (1089,1090,[2_1|2]), (1090,1091,[0_1|2]), (1091,1092,[5_1|2]), (1092,1093,[5_1|2]), (1093,1094,[0_1|2]), (1094,1095,[2_1|2]), (1095,1096,[1_1|2]), (1096,1097,[4_1|2]), (1097,1098,[3_1|2]), (1098,1099,[5_1|2]), (1099,1100,[4_1|2]), (1100,1101,[2_1|2]), (1101,1102,[1_1|2]), (1102,1103,[4_1|2]), (1103,1104,[1_1|2]), (1104,1105,[3_1|2]), (1105,1106,[3_1|2]), (1106,1107,[2_1|2]), (1107,1108,[1_1|2]), (1108,1109,[5_1|2]), (1109,1110,[0_1|2]), (1110,1111,[4_1|2]), (1111,1112,[1_1|2]), (1112,1113,[4_1|2]), (1113,1114,[3_1|2]), (1114,1115,[4_1|2]), (1115,1116,[2_1|2]), (1116,1117,[0_1|2]), (1117,1118,[3_1|2]), (1118,1119,[2_1|2]), (1119,1120,[0_1|2]), (1120,1121,[0_1|2]), (1121,131,[5_1|2]), (1121,330,[5_1|2]), (1121,528,[5_1|2]), (1121,726,[5_1|2]), (1121,2013,[1_1|2]), (1122,1123,[2_1|2]), (1123,1124,[3_1|2]), (1124,1125,[5_1|2]), (1125,1126,[3_1|2]), (1126,1127,[4_1|2]), (1127,1128,[0_1|2]), (1128,1129,[0_1|2]), (1129,1130,[3_1|2]), (1130,1131,[4_1|2]), (1131,1132,[4_1|2]), (1132,1133,[3_1|2]), (1133,1134,[2_1|2]), (1134,1135,[4_1|2]), (1135,1136,[2_1|2]), (1136,1137,[3_1|2]), (1137,1138,[2_1|2]), (1138,1139,[1_1|2]), (1139,1140,[0_1|2]), (1140,1141,[5_1|2]), (1141,1142,[1_1|2]), (1142,1143,[5_1|2]), (1143,1144,[3_1|2]), (1144,1145,[1_1|2]), (1145,1146,[2_1|2]), (1146,1147,[5_1|2]), (1147,1148,[3_1|2]), (1148,1149,[4_1|2]), (1149,1150,[3_1|2]), (1150,1151,[1_1|2]), (1151,1152,[2_1|2]), (1152,1153,[2_1|2]), (1153,1154,[0_1|2]), (1154,1155,[5_1|2]), (1155,1156,[3_1|2]), (1156,1157,[2_1|2]), (1157,1158,[0_1|2]), (1158,1159,[5_1|2]), (1159,1160,[0_1|2]), (1160,1161,[4_1|2]), (1161,1162,[0_1|2]), (1162,1163,[0_1|2]), (1163,1164,[0_1|2]), (1164,1165,[3_1|2]), (1165,1166,[0_1|2]), (1166,1167,[5_1|2]), (1167,1168,[2_1|2]), (1168,1169,[4_1|2]), (1169,1170,[4_1|2]), (1170,1171,[3_1|2]), (1171,1172,[3_1|2]), (1172,1173,[4_1|2]), (1173,1174,[5_1|2]), (1174,1175,[2_1|2]), (1175,1176,[5_1|2]), (1176,1177,[4_1|2]), (1177,1178,[5_1|2]), (1178,1179,[3_1|2]), (1179,1180,[0_1|2]), (1180,1181,[0_1|2]), (1181,1182,[0_1|2]), (1182,1183,[5_1|2]), (1183,1184,[2_1|2]), (1184,1185,[2_1|2]), (1185,1186,[2_1|2]), (1186,1187,[2_1|2]), (1187,1188,[0_1|2]), (1188,1189,[5_1|2]), (1189,1190,[4_1|2]), (1190,1191,[5_1|2]), (1191,1192,[5_1|2]), (1192,1193,[2_1|2]), (1193,1194,[5_1|2]), (1194,1195,[0_1|2]), (1195,1196,[4_1|2]), (1196,1197,[2_1|2]), (1197,1198,[5_1|2]), (1198,1199,[1_1|2]), (1199,1200,[1_1|2]), (1200,1201,[3_1|2]), (1201,1202,[3_1|2]), (1202,1203,[5_1|2]), (1203,1204,[0_1|2]), (1204,1205,[1_1|2]), (1205,1206,[5_1|2]), (1206,1207,[4_1|2]), (1207,1208,[5_1|2]), (1208,1209,[2_1|2]), (1209,1210,[2_1|2]), (1210,1211,[5_1|2]), (1211,1212,[0_1|2]), (1212,1213,[2_1|2]), (1213,1214,[0_1|2]), (1214,1215,[0_1|2]), (1215,1216,[1_1|2]), (1216,1217,[0_1|2]), (1217,1218,[0_1|2]), (1218,1219,[1_1|2]), (1219,1220,[3_1|2]), (1220,131,[4_1|2]), (1220,429,[4_1|2]), (1220,627,[4_1|2]), (1220,1716,[4_1|2]), (1220,1221,[2_1|2]), (1220,1320,[1_1|2]), (1220,1419,[2_1|2]), (1220,1518,[5_1|2]), (1220,1617,[2_1|2]), (1220,1815,[1_1|2]), (1220,1914,[1_1|2]), (1221,1222,[2_1|2]), (1222,1223,[2_1|2]), (1223,1224,[3_1|2]), (1224,1225,[0_1|2]), (1225,1226,[5_1|2]), (1226,1227,[5_1|2]), (1227,1228,[1_1|2]), (1228,1229,[4_1|2]), (1229,1230,[3_1|2]), (1230,1231,[2_1|2]), (1231,1232,[5_1|2]), (1232,1233,[3_1|2]), (1233,1234,[1_1|2]), (1234,1235,[3_1|2]), (1235,1236,[5_1|2]), (1236,1237,[2_1|2]), (1237,1238,[0_1|2]), (1238,1239,[5_1|2]), (1239,1240,[3_1|2]), (1240,1241,[2_1|2]), (1241,1242,[5_1|2]), (1242,1243,[5_1|2]), (1243,1244,[4_1|2]), (1244,1245,[3_1|2]), (1245,1246,[2_1|2]), (1246,1247,[2_1|2]), (1247,1248,[4_1|2]), (1248,1249,[3_1|2]), (1249,1250,[4_1|2]), (1250,1251,[1_1|2]), (1251,1252,[5_1|2]), (1252,1253,[0_1|2]), (1253,1254,[1_1|2]), (1254,1255,[3_1|2]), (1255,1256,[0_1|2]), (1256,1257,[4_1|2]), (1257,1258,[2_1|2]), (1258,1259,[1_1|2]), (1259,1260,[3_1|2]), (1260,1261,[2_1|2]), (1261,1262,[1_1|2]), (1262,1263,[5_1|2]), (1263,1264,[2_1|2]), (1264,1265,[1_1|2]), (1265,1266,[4_1|2]), (1266,1267,[5_1|2]), (1267,1268,[0_1|2]), (1268,1269,[4_1|2]), (1269,1270,[5_1|2]), (1270,1271,[1_1|2]), (1271,1272,[0_1|2]), (1272,1273,[4_1|2]), (1273,1274,[0_1|2]), (1274,1275,[5_1|2]), (1275,1276,[5_1|2]), (1276,1277,[4_1|2]), (1277,1278,[3_1|2]), (1278,1279,[0_1|2]), (1279,1280,[5_1|2]), (1280,1281,[3_1|2]), (1281,1282,[4_1|2]), (1282,1283,[5_1|2]), (1283,1284,[3_1|2]), (1284,1285,[3_1|2]), (1285,1286,[0_1|2]), (1286,1287,[3_1|2]), (1287,1288,[5_1|2]), (1288,1289,[2_1|2]), (1289,1290,[4_1|2]), (1290,1291,[5_1|2]), (1291,1292,[3_1|2]), (1292,1293,[4_1|2]), (1293,1294,[5_1|2]), (1294,1295,[0_1|2]), (1295,1296,[0_1|2]), (1296,1297,[3_1|2]), (1297,1298,[1_1|2]), (1298,1299,[5_1|2]), (1299,1300,[5_1|2]), (1300,1301,[4_1|2]), (1301,1302,[5_1|2]), (1302,1303,[3_1|2]), (1303,1304,[5_1|2]), (1304,1305,[2_1|2]), (1305,1306,[4_1|2]), (1306,1307,[3_1|2]), (1307,1308,[5_1|2]), (1308,1309,[2_1|2]), (1309,1310,[5_1|2]), (1310,1311,[4_1|2]), (1311,1312,[5_1|2]), (1312,1313,[0_1|2]), (1313,1314,[3_1|2]), (1314,1315,[0_1|2]), (1315,1316,[5_1|2]), (1316,1317,[4_1|2]), (1317,1318,[4_1|2]), (1317,1815,[1_1|2]), (1318,1319,[3_1|2]), (1318,726,[3_1|2]), (1318,825,[5_1|2]), (1319,131,[1_1|2]), (1319,231,[1_1|2]), (1319,1023,[1_1|2]), (1319,430,[1_1|2]), (1320,1321,[1_1|2]), (1321,1322,[1_1|2]), (1322,1323,[0_1|2]), (1323,1324,[5_1|2]), (1324,1325,[1_1|2]), (1325,1326,[3_1|2]), (1326,1327,[1_1|2]), (1327,1328,[1_1|2]), (1328,1329,[2_1|2]), (1329,1330,[1_1|2]), (1330,1331,[2_1|2]), (1331,1332,[1_1|2]), (1332,1333,[4_1|2]), (1333,1334,[3_1|2]), (1334,1335,[2_1|2]), (1335,1336,[0_1|2]), (1336,1337,[3_1|2]), (1337,1338,[2_1|2]), (1338,1339,[1_1|2]), (1339,1340,[3_1|2]), (1340,1341,[4_1|2]), (1341,1342,[2_1|2]), (1342,1343,[5_1|2]), (1343,1344,[5_1|2]), (1344,1345,[5_1|2]), (1345,1346,[0_1|2]), (1346,1347,[3_1|2]), (1347,1348,[2_1|2]), (1348,1349,[4_1|2]), (1349,1350,[0_1|2]), (1350,1351,[5_1|2]), (1351,1352,[0_1|2]), (1352,1353,[0_1|2]), (1353,1354,[5_1|2]), (1354,1355,[5_1|2]), (1355,1356,[5_1|2]), (1356,1357,[5_1|2]), (1357,1358,[5_1|2]), (1358,1359,[2_1|2]), (1359,1360,[4_1|2]), (1360,1361,[3_1|2]), (1361,1362,[4_1|2]), (1362,1363,[2_1|2]), (1363,1364,[2_1|2]), (1364,1365,[4_1|2]), (1365,1366,[5_1|2]), (1366,1367,[4_1|2]), (1367,1368,[2_1|2]), (1368,1369,[5_1|2]), (1369,1370,[1_1|2]), (1370,1371,[4_1|2]), (1371,1372,[5_1|2]), (1372,1373,[5_1|2]), (1373,1374,[4_1|2]), (1374,1375,[4_1|2]), (1375,1376,[4_1|2]), (1376,1377,[2_1|2]), (1377,1378,[4_1|2]), (1378,1379,[5_1|2]), (1379,1380,[4_1|2]), (1380,1381,[2_1|2]), (1381,1382,[1_1|2]), (1382,1383,[2_1|2]), (1383,1384,[5_1|2]), (1384,1385,[1_1|2]), (1385,1386,[2_1|2]), (1386,1387,[2_1|2]), (1387,1388,[3_1|2]), (1388,1389,[1_1|2]), (1389,1390,[0_1|2]), (1390,1391,[3_1|2]), (1391,1392,[4_1|2]), (1392,1393,[5_1|2]), (1393,1394,[0_1|2]), (1394,1395,[4_1|2]), (1395,1396,[0_1|2]), (1396,1397,[3_1|2]), (1397,1398,[5_1|2]), (1398,1399,[2_1|2]), (1399,1400,[1_1|2]), (1400,1401,[3_1|2]), (1401,1402,[2_1|2]), (1402,1403,[3_1|2]), (1403,1404,[2_1|2]), (1404,1405,[5_1|2]), (1405,1406,[0_1|2]), (1406,1407,[1_1|2]), (1407,1408,[2_1|2]), (1408,1409,[4_1|2]), (1409,1410,[0_1|2]), (1410,1411,[0_1|2]), (1411,1412,[5_1|2]), (1412,1413,[2_1|2]), (1413,1414,[3_1|2]), (1414,1415,[1_1|2]), (1415,1416,[3_1|2]), (1416,1417,[2_1|2]), (1417,1418,[0_1|2]), (1417,132,[5_1|2]), (1418,131,[0_1|2]), (1418,1221,[0_1|2]), (1418,1419,[0_1|2]), (1418,1617,[0_1|2]), (1418,1222,[0_1|2]), (1418,132,[5_1|2]), (1418,231,[0_1|2]), (1418,330,[3_1|2]), (1419,1420,[3_1|2]), (1420,1421,[2_1|2]), (1421,1422,[3_1|2]), (1422,1423,[1_1|2]), (1423,1424,[5_1|2]), (1424,1425,[2_1|2]), (1425,1426,[3_1|2]), (1426,1427,[2_1|2]), (1427,1428,[2_1|2]), (1428,1429,[5_1|2]), (1429,1430,[1_1|2]), (1430,1431,[1_1|2]), (1431,1432,[4_1|2]), (1432,1433,[5_1|2]), (1433,1434,[0_1|2]), (1434,1435,[5_1|2]), (1435,1436,[3_1|2]), (1436,1437,[5_1|2]), (1437,1438,[2_1|2]), (1438,1439,[2_1|2]), (1439,1440,[1_1|2]), (1440,1441,[2_1|2]), (1441,1442,[4_1|2]), (1442,1443,[0_1|2]), (1443,1444,[1_1|2]), (1444,1445,[4_1|2]), (1445,1446,[0_1|2]), (1446,1447,[5_1|2]), (1447,1448,[1_1|2]), (1448,1449,[2_1|2]), (1449,1450,[5_1|2]), (1450,1451,[4_1|2]), (1451,1452,[0_1|2]), (1452,1453,[2_1|2]), (1453,1454,[3_1|2]), (1454,1455,[2_1|2]), (1455,1456,[2_1|2]), (1456,1457,[4_1|2]), (1457,1458,[1_1|2]), (1458,1459,[3_1|2]), (1459,1460,[5_1|2]), (1460,1461,[5_1|2]), (1461,1462,[5_1|2]), (1462,1463,[1_1|2]), (1463,1464,[5_1|2]), (1464,1465,[1_1|2]), (1465,1466,[1_1|2]), (1466,1467,[2_1|2]), (1467,1468,[3_1|2]), (1468,1469,[4_1|2]), (1469,1470,[1_1|2]), (1470,1471,[0_1|2]), (1471,1472,[3_1|2]), (1472,1473,[3_1|2]), (1473,1474,[3_1|2]), (1474,1475,[3_1|2]), (1475,1476,[3_1|2]), (1476,1477,[4_1|2]), (1477,1478,[2_1|2]), (1478,1479,[4_1|2]), (1479,1480,[3_1|2]), (1480,1481,[5_1|2]), (1481,1482,[1_1|2]), (1482,1483,[0_1|2]), (1483,1484,[2_1|2]), (1484,1485,[0_1|2]), (1485,1486,[5_1|2]), (1486,1487,[5_1|2]), (1487,1488,[4_1|2]), (1488,1489,[0_1|2]), (1489,1490,[0_1|2]), (1490,1491,[5_1|2]), (1491,1492,[5_1|2]), (1492,1493,[2_1|2]), (1493,1494,[1_1|2]), (1494,1495,[4_1|2]), (1495,1496,[5_1|2]), (1496,1497,[5_1|2]), (1497,1498,[2_1|2]), (1498,1499,[5_1|2]), (1499,1500,[2_1|2]), (1500,1501,[2_1|2]), (1501,1502,[1_1|2]), (1502,1503,[3_1|2]), (1503,1504,[0_1|2]), (1504,1505,[5_1|2]), (1505,1506,[2_1|2]), (1506,1507,[0_1|2]), (1507,1508,[1_1|2]), (1508,1509,[0_1|2]), (1509,1510,[1_1|2]), (1510,1511,[1_1|2]), (1511,1512,[3_1|2]), (1512,1513,[5_1|2]), (1513,1514,[0_1|2]), (1514,1515,[1_1|2]), (1515,1516,[5_1|2]), (1516,1517,[3_1|2]), (1516,1122,[5_1|2]), (1517,131,[5_1|2]), (1517,924,[5_1|2]), (1517,1320,[5_1|2]), (1517,1815,[5_1|2]), (1517,1914,[5_1|2]), (1517,2013,[5_1|2, 1_1|2]), (1518,1519,[5_1|2]), (1519,1520,[3_1|2]), (1520,1521,[2_1|2]), (1521,1522,[0_1|2]), (1522,1523,[3_1|2]), (1523,1524,[2_1|2]), (1524,1525,[3_1|2]), (1525,1526,[4_1|2]), (1526,1527,[4_1|2]), (1527,1528,[3_1|2]), (1528,1529,[1_1|2]), (1529,1530,[0_1|2]), (1530,1531,[5_1|2]), (1531,1532,[0_1|2]), (1532,1533,[4_1|2]), (1533,1534,[1_1|2]), (1534,1535,[2_1|2]), (1535,1536,[5_1|2]), (1536,1537,[1_1|2]), (1537,1538,[3_1|2]), (1538,1539,[5_1|2]), (1539,1540,[1_1|2]), (1540,1541,[1_1|2]), (1541,1542,[0_1|2]), (1542,1543,[0_1|2]), (1543,1544,[0_1|2]), (1544,1545,[5_1|2]), (1545,1546,[2_1|2]), (1546,1547,[0_1|2]), (1547,1548,[4_1|2]), (1548,1549,[2_1|2]), (1549,1550,[1_1|2]), (1550,1551,[4_1|2]), (1551,1552,[1_1|2]), (1552,1553,[0_1|2]), (1553,1554,[3_1|2]), (1554,1555,[1_1|2]), (1555,1556,[1_1|2]), (1556,1557,[5_1|2]), (1557,1558,[3_1|2]), (1558,1559,[2_1|2]), (1559,1560,[4_1|2]), (1560,1561,[3_1|2]), (1561,1562,[2_1|2]), (1562,1563,[0_1|2]), (1563,1564,[4_1|2]), (1564,1565,[1_1|2]), (1565,1566,[4_1|2]), (1566,1567,[3_1|2]), (1567,1568,[5_1|2]), (1568,1569,[1_1|2]), (1569,1570,[2_1|2]), (1570,1571,[1_1|2]), (1571,1572,[3_1|2]), (1572,1573,[3_1|2]), (1573,1574,[4_1|2]), (1574,1575,[0_1|2]), (1575,1576,[4_1|2]), (1576,1577,[5_1|2]), (1577,1578,[4_1|2]), (1578,1579,[5_1|2]), (1579,1580,[5_1|2]), (1580,1581,[1_1|2]), (1581,1582,[1_1|2]), (1582,1583,[0_1|2]), (1583,1584,[3_1|2]), (1584,1585,[5_1|2]), (1585,1586,[3_1|2]), (1586,1587,[2_1|2]), (1587,1588,[1_1|2]), (1588,1589,[2_1|2]), (1589,1590,[3_1|2]), (1590,1591,[4_1|2]), (1591,1592,[3_1|2]), (1592,1593,[5_1|2]), (1593,1594,[3_1|2]), (1594,1595,[2_1|2]), (1595,1596,[1_1|2]), (1596,1597,[5_1|2]), (1597,1598,[3_1|2]), (1598,1599,[2_1|2]), (1599,1600,[0_1|2]), (1600,1601,[4_1|2]), (1601,1602,[0_1|2]), (1602,1603,[0_1|2]), (1603,1604,[0_1|2]), (1604,1605,[2_1|2]), (1605,1606,[5_1|2]), (1606,1607,[4_1|2]), (1607,1608,[5_1|2]), (1608,1609,[0_1|2]), (1609,1610,[5_1|2]), (1610,1611,[0_1|2]), (1611,1612,[1_1|2]), (1612,1613,[0_1|2]), (1613,1614,[5_1|2]), (1614,1615,[0_1|2]), (1615,1616,[3_1|2]), (1616,131,[3_1|2]), (1616,330,[3_1|2]), (1616,528,[3_1|2]), (1616,726,[3_1|2]), (1616,825,[5_1|2]), (1616,924,[1_1|2]), (1616,1023,[0_1|2]), (1616,1122,[5_1|2]), (1617,1618,[1_1|2]), (1618,1619,[5_1|2]), (1619,1620,[1_1|2]), (1620,1621,[3_1|2]), (1621,1622,[5_1|2]), (1622,1623,[5_1|2]), (1623,1624,[3_1|2]), (1624,1625,[5_1|2]), (1625,1626,[1_1|2]), (1626,1627,[2_1|2]), (1627,1628,[5_1|2]), (1628,1629,[3_1|2]), (1629,1630,[4_1|2]), (1630,1631,[0_1|2]), (1631,1632,[5_1|2]), (1632,1633,[2_1|2]), (1633,1634,[3_1|2]), (1634,1635,[5_1|2]), (1635,1636,[1_1|2]), (1636,1637,[1_1|2]), (1637,1638,[3_1|2]), (1638,1639,[2_1|2]), (1639,1640,[4_1|2]), (1640,1641,[5_1|2]), (1641,1642,[0_1|2]), (1642,1643,[5_1|2]), (1643,1644,[4_1|2]), (1644,1645,[2_1|2]), (1645,1646,[3_1|2]), (1646,1647,[2_1|2]), (1647,1648,[1_1|2]), (1648,1649,[3_1|2]), (1649,1650,[4_1|2]), (1650,1651,[2_1|2]), (1651,1652,[4_1|2]), (1652,1653,[3_1|2]), (1653,1654,[1_1|2]), (1654,1655,[5_1|2]), (1655,1656,[1_1|2]), (1656,1657,[3_1|2]), (1657,1658,[4_1|2]), (1658,1659,[0_1|2]), (1659,1660,[3_1|2]), (1660,1661,[2_1|2]), (1661,1662,[0_1|2]), (1662,1663,[5_1|2]), (1663,1664,[5_1|2]), (1664,1665,[5_1|2]), (1665,1666,[4_1|2]), (1666,1667,[3_1|2]), (1667,1668,[0_1|2]), (1668,1669,[5_1|2]), (1669,1670,[5_1|2]), (1670,1671,[0_1|2]), (1671,1672,[5_1|2]), (1672,1673,[3_1|2]), (1673,1674,[0_1|2]), (1674,1675,[1_1|2]), (1675,1676,[5_1|2]), (1676,1677,[1_1|2]), (1677,1678,[3_1|2]), (1678,1679,[5_1|2]), (1679,1680,[0_1|2]), (1680,1681,[1_1|2]), (1681,1682,[1_1|2]), (1682,1683,[4_1|2]), (1683,1684,[3_1|2]), (1684,1685,[5_1|2]), (1685,1686,[5_1|2]), (1686,1687,[4_1|2]), (1687,1688,[1_1|2]), (1688,1689,[3_1|2]), (1689,1690,[5_1|2]), (1690,1691,[5_1|2]), (1691,1692,[1_1|2]), (1692,1693,[5_1|2]), (1693,1694,[2_1|2]), (1694,1695,[3_1|2]), (1695,1696,[0_1|2]), (1696,1697,[1_1|2]), (1697,1698,[3_1|2]), (1698,1699,[0_1|2]), (1699,1700,[3_1|2]), (1700,1701,[2_1|2]), (1701,1702,[2_1|2]), (1702,1703,[3_1|2]), (1703,1704,[5_1|2]), (1704,1705,[3_1|2]), (1705,1706,[2_1|2]), (1706,1707,[4_1|2]), (1707,1708,[2_1|2]), (1708,1709,[3_1|2]), (1709,1710,[0_1|2]), (1710,1711,[2_1|2]), (1711,1712,[0_1|2]), (1712,1713,[5_1|2]), (1713,1714,[5_1|2]), (1714,1715,[4_1|2]), (1714,1617,[2_1|2]), (1715,131,[2_1|2]), (1715,429,[2_1|2, 4_1|2]), (1715,627,[2_1|2, 4_1|2]), (1715,1716,[2_1|2]), (1715,528,[3_1|2]), (1716,1717,[2_1|2]), (1717,1718,[1_1|2]), (1718,1719,[2_1|2]), (1719,1720,[2_1|2]), (1720,1721,[3_1|2]), (1721,1722,[2_1|2]), (1722,1723,[5_1|2]), (1723,1724,[0_1|2]), (1724,1725,[5_1|2]), (1725,1726,[3_1|2]), (1726,1727,[2_1|2]), (1727,1728,[4_1|2]), (1728,1729,[0_1|2]), (1729,1730,[3_1|2]), (1730,1731,[2_1|2]), (1731,1732,[4_1|2]), (1732,1733,[3_1|2]), (1733,1734,[3_1|2]), (1734,1735,[0_1|2]), (1735,1736,[5_1|2]), (1736,1737,[5_1|2]), (1737,1738,[5_1|2]), (1738,1739,[1_1|2]), (1739,1740,[4_1|2]), (1740,1741,[0_1|2]), (1741,1742,[1_1|2]), (1742,1743,[2_1|2]), (1743,1744,[1_1|2]), (1744,1745,[4_1|2]), (1745,1746,[4_1|2]), (1746,1747,[1_1|2]), (1747,1748,[3_1|2]), (1748,1749,[1_1|2]), (1749,1750,[2_1|2]), (1750,1751,[5_1|2]), (1751,1752,[3_1|2]), (1752,1753,[0_1|2]), (1753,1754,[5_1|2]), (1754,1755,[3_1|2]), (1755,1756,[5_1|2]), (1756,1757,[5_1|2]), (1757,1758,[5_1|2]), (1758,1759,[0_1|2]), (1759,1760,[5_1|2]), (1760,1761,[2_1|2]), (1761,1762,[3_1|2]), (1762,1763,[1_1|2]), (1763,1764,[0_1|2]), (1764,1765,[2_1|2]), (1765,1766,[4_1|2]), (1766,1767,[1_1|2]), (1767,1768,[2_1|2]), (1768,1769,[3_1|2]), (1769,1770,[5_1|2]), (1770,1771,[1_1|2]), (1771,1772,[1_1|2]), (1772,1773,[1_1|2]), (1773,1774,[0_1|2]), (1774,1775,[0_1|2]), (1775,1776,[5_1|2]), (1776,1777,[5_1|2]), (1777,1778,[0_1|2]), (1778,1779,[4_1|2]), (1779,1780,[3_1|2]), (1780,1781,[5_1|2]), (1781,1782,[5_1|2]), (1782,1783,[0_1|2]), (1783,1784,[1_1|2]), (1784,1785,[4_1|2]), (1785,1786,[0_1|2]), (1786,1787,[5_1|2]), (1787,1788,[1_1|2]), (1788,1789,[0_1|2]), (1789,1790,[2_1|2]), (1790,1791,[1_1|2]), (1791,1792,[1_1|2]), (1792,1793,[4_1|2]), (1793,1794,[5_1|2]), (1794,1795,[5_1|2]), (1795,1796,[5_1|2]), (1796,1797,[4_1|2]), (1797,1798,[3_1|2]), (1798,1799,[1_1|2]), (1799,1800,[1_1|2]), (1800,1801,[5_1|2]), (1801,1802,[4_1|2]), (1802,1803,[1_1|2]), (1803,1804,[2_1|2]), (1804,1805,[4_1|2]), (1805,1806,[0_1|2]), (1806,1807,[5_1|2]), (1807,1808,[0_1|2]), (1808,1809,[2_1|2]), (1809,1810,[5_1|2]), (1810,1811,[5_1|2]), (1811,1812,[3_1|2]), (1812,1813,[4_1|2]), (1812,1914,[1_1|2]), (1813,1814,[5_1|2]), (1814,131,[0_1|2]), (1814,330,[0_1|2, 3_1|2]), (1814,528,[0_1|2]), (1814,726,[0_1|2]), (1814,132,[5_1|2]), (1814,231,[0_1|2]), (1815,1816,[2_1|2]), (1816,1817,[5_1|2]), (1817,1818,[4_1|2]), (1818,1819,[5_1|2]), (1819,1820,[0_1|2]), (1820,1821,[1_1|2]), (1821,1822,[4_1|2]), (1822,1823,[4_1|2]), (1823,1824,[5_1|2]), (1824,1825,[0_1|2]), (1825,1826,[1_1|2]), (1826,1827,[5_1|2]), (1827,1828,[4_1|2]), (1828,1829,[5_1|2]), (1829,1830,[0_1|2]), (1830,1831,[3_1|2]), (1831,1832,[4_1|2]), (1832,1833,[0_1|2]), (1833,1834,[3_1|2]), (1834,1835,[4_1|2]), (1835,1836,[3_1|2]), (1836,1837,[1_1|2]), (1837,1838,[4_1|2]), (1838,1839,[5_1|2]), (1839,1840,[1_1|2]), (1840,1841,[1_1|2]), (1841,1842,[4_1|2]), (1842,1843,[3_1|2]), (1843,1844,[2_1|2]), (1844,1845,[0_1|2]), (1845,1846,[4_1|2]), (1846,1847,[0_1|2]), (1847,1848,[2_1|2]), (1848,1849,[4_1|2]), (1849,1850,[5_1|2]), (1850,1851,[5_1|2]), (1851,1852,[1_1|2]), (1852,1853,[5_1|2]), (1853,1854,[3_1|2]), (1854,1855,[1_1|2]), (1855,1856,[4_1|2]), (1856,1857,[3_1|2]), (1857,1858,[4_1|2]), (1858,1859,[5_1|2]), (1859,1860,[3_1|2]), (1860,1861,[4_1|2]), (1861,1862,[0_1|2]), (1862,1863,[4_1|2]), (1863,1864,[4_1|2]), (1864,1865,[1_1|2]), (1865,1866,[5_1|2]), (1866,1867,[2_1|2]), (1867,1868,[5_1|2]), (1868,1869,[5_1|2]), (1869,1870,[2_1|2]), (1870,1871,[0_1|2]), (1871,1872,[1_1|2]), (1872,1873,[3_1|2]), (1873,1874,[2_1|2]), (1874,1875,[5_1|2]), (1875,1876,[1_1|2]), (1876,1877,[5_1|2]), (1877,1878,[2_1|2]), (1878,1879,[3_1|2]), (1879,1880,[0_1|2]), (1880,1881,[4_1|2]), (1881,1882,[2_1|2]), (1882,1883,[2_1|2]), (1883,1884,[2_1|2]), (1884,1885,[0_1|2]), (1885,1886,[3_1|2]), (1886,1887,[0_1|2]), (1887,1888,[5_1|2]), (1888,1889,[3_1|2]), (1889,1890,[3_1|2]), (1890,1891,[1_1|2]), (1891,1892,[4_1|2]), (1892,1893,[4_1|2]), (1893,1894,[5_1|2]), (1894,1895,[5_1|2]), (1895,1896,[4_1|2]), (1896,1897,[2_1|2]), (1897,1898,[5_1|2]), (1898,1899,[5_1|2]), (1899,1900,[3_1|2]), (1900,1901,[5_1|2]), (1901,1902,[3_1|2]), (1902,1903,[0_1|2]), (1903,1904,[3_1|2]), (1904,1905,[4_1|2]), (1905,1906,[5_1|2]), (1906,1907,[5_1|2]), (1907,1908,[0_1|2]), (1908,1909,[5_1|2]), (1909,1910,[5_1|2]), (1910,1911,[3_1|2]), (1911,1912,[3_1|2]), (1912,1913,[4_1|2]), (1912,1914,[1_1|2]), (1913,131,[5_1|2]), (1913,429,[5_1|2]), (1913,627,[5_1|2]), (1913,1716,[5_1|2]), (1913,2014,[5_1|2]), (1913,2013,[1_1|2]), (1914,1915,[2_1|2]), (1915,1916,[2_1|2]), (1916,1917,[4_1|2]), (1917,1918,[4_1|2]), (1918,1919,[4_1|2]), (1919,1920,[5_1|2]), (1920,1921,[0_1|2]), (1921,1922,[4_1|2]), (1922,1923,[2_1|2]), (1923,1924,[1_1|2]), (1924,1925,[1_1|2]), (1925,1926,[2_1|2]), (1926,1927,[4_1|2]), (1927,1928,[4_1|2]), (1928,1929,[0_1|2]), (1929,1930,[3_1|2]), (1930,1931,[3_1|2]), (1931,1932,[1_1|2]), (1932,1933,[5_1|2]), (1933,1934,[4_1|2]), (1934,1935,[2_1|2]), (1935,1936,[1_1|2]), (1936,1937,[4_1|2]), (1937,1938,[0_1|2]), (1938,1939,[0_1|2]), (1939,1940,[0_1|2]), (1940,1941,[1_1|2]), (1941,1942,[1_1|2]), (1942,1943,[1_1|2]), (1943,1944,[3_1|2]), (1944,1945,[0_1|2]), (1945,1946,[2_1|2]), (1946,1947,[5_1|2]), (1947,1948,[0_1|2]), (1948,1949,[0_1|2]), (1949,1950,[4_1|2]), (1950,1951,[5_1|2]), (1951,1952,[2_1|2]), (1952,1953,[3_1|2]), (1953,1954,[1_1|2]), (1954,1955,[4_1|2]), (1955,1956,[4_1|2]), (1956,1957,[3_1|2]), (1957,1958,[5_1|2]), (1958,1959,[2_1|2]), (1959,1960,[2_1|2]), (1960,1961,[5_1|2]), (1961,1962,[3_1|2]), (1962,1963,[1_1|2]), (1963,1964,[0_1|2]), (1964,1965,[2_1|2]), (1965,1966,[3_1|2]), (1966,1967,[2_1|2]), (1967,1968,[1_1|2]), (1968,1969,[2_1|2]), (1969,1970,[4_1|2]), (1970,1971,[5_1|2]), (1971,1972,[1_1|2]), (1972,1973,[4_1|2]), (1973,1974,[4_1|2]), (1974,1975,[4_1|2]), (1975,1976,[5_1|2]), (1976,1977,[0_1|2]), (1977,1978,[0_1|2]), (1978,1979,[5_1|2]), (1979,1980,[3_1|2]), (1980,1981,[4_1|2]), (1981,1982,[1_1|2]), (1982,1983,[3_1|2]), (1983,1984,[1_1|2]), (1984,1985,[4_1|2]), (1985,1986,[0_1|2]), (1986,1987,[1_1|2]), (1987,1988,[1_1|2]), (1988,1989,[5_1|2]), (1989,1990,[0_1|2]), (1990,1991,[0_1|2]), (1991,1992,[2_1|2]), (1992,1993,[0_1|2]), (1993,1994,[2_1|2]), (1994,1995,[1_1|2]), (1995,1996,[3_1|2]), (1996,1997,[4_1|2]), (1997,1998,[3_1|2]), (1998,1999,[2_1|2]), (1999,2000,[0_1|2]), (2000,2001,[5_1|2]), (2001,2002,[2_1|2]), (2002,2003,[2_1|2]), (2003,2004,[3_1|2]), (2004,2005,[5_1|2]), (2005,2006,[5_1|2]), (2006,2007,[5_1|2]), (2007,2008,[2_1|2]), (2008,2009,[3_1|2]), (2009,2010,[2_1|2]), (2010,2011,[4_1|2]), (2011,2012,[4_1|2]), (2011,1221,[2_1|2]), (2011,1320,[1_1|2]), (2012,131,[0_1|2]), (2012,231,[0_1|2]), (2012,1023,[0_1|2]), (2012,132,[5_1|2]), (2012,330,[3_1|2]), (2013,2014,[4_1|2]), (2014,2015,[2_1|2]), (2015,2016,[4_1|2]), (2016,2017,[4_1|2]), (2017,2018,[5_1|2]), (2018,2019,[3_1|2]), (2019,2020,[2_1|2]), (2020,2021,[5_1|2]), (2021,2022,[0_1|2]), (2022,2023,[1_1|2]), (2023,2024,[1_1|2]), (2024,2025,[3_1|2]), (2025,2026,[0_1|2]), (2026,2027,[0_1|2]), (2027,2028,[4_1|2]), (2028,2029,[5_1|2]), (2029,2030,[1_1|2]), (2030,2031,[5_1|2]), (2031,2032,[0_1|2]), (2032,2033,[1_1|2]), (2033,2034,[3_1|2]), (2034,2035,[5_1|2]), (2035,2036,[5_1|2]), (2036,2037,[4_1|2]), (2037,2038,[1_1|2]), (2038,2039,[5_1|2]), (2039,2040,[1_1|2]), (2040,2041,[4_1|2]), (2041,2042,[3_1|2]), (2042,2043,[2_1|2]), (2043,2044,[5_1|2]), (2044,2045,[3_1|2]), (2045,2046,[3_1|2]), (2046,2047,[0_1|2]), (2047,2048,[0_1|2]), (2048,2049,[1_1|2]), (2049,2050,[2_1|2]), (2050,2051,[1_1|2]), (2051,2052,[0_1|2]), (2052,2053,[5_1|2]), (2053,2054,[4_1|2]), (2054,2055,[0_1|2]), (2055,2056,[0_1|2]), (2056,2057,[0_1|2]), (2057,2058,[0_1|2]), (2058,2059,[5_1|2]), (2059,2060,[5_1|2]), (2060,2061,[5_1|2]), (2061,2062,[1_1|2]), (2062,2063,[4_1|2]), (2063,2064,[5_1|2]), (2064,2065,[5_1|2]), (2065,2066,[2_1|2]), (2066,2067,[1_1|2]), (2067,2068,[3_1|2]), (2068,2069,[4_1|2]), (2069,2070,[3_1|2]), (2070,2071,[5_1|2]), (2071,2072,[0_1|2]), (2072,2073,[3_1|2]), (2073,2074,[3_1|2]), (2074,2075,[5_1|2]), (2075,2076,[5_1|2]), (2076,2077,[4_1|2]), (2077,2078,[0_1|2]), (2078,2079,[2_1|2]), (2079,2080,[3_1|2]), (2080,2081,[0_1|2]), (2081,2082,[2_1|2]), (2082,2083,[0_1|2]), (2083,2084,[5_1|2]), (2084,2085,[4_1|2]), (2085,2086,[5_1|2]), (2086,2087,[0_1|2]), (2087,2088,[2_1|2]), (2088,2089,[4_1|2]), (2089,2090,[5_1|2]), (2090,2091,[1_1|2]), (2091,2092,[2_1|2]), (2092,2093,[2_1|2]), (2093,2094,[4_1|2]), (2094,2095,[2_1|2]), (2095,2096,[0_1|2]), (2096,2097,[3_1|2]), (2097,2098,[4_1|2]), (2098,2099,[1_1|2]), (2099,2100,[3_1|2]), (2100,2101,[1_1|2]), (2101,2102,[1_1|2]), (2102,2103,[1_1|2]), (2103,2104,[5_1|2]), (2104,2105,[5_1|2]), (2105,2106,[1_1|2]), (2106,2107,[5_1|2]), (2107,2108,[2_1|2]), (2108,2109,[5_1|2]), (2109,2110,[3_1|2]), (2110,2111,[4_1|2]), (2110,1617,[2_1|2]), (2111,131,[2_1|2]), (2111,231,[2_1|2]), (2111,1023,[2_1|2]), (2111,430,[2_1|2]), (2111,429,[4_1|2]), (2111,528,[3_1|2]), (2111,627,[4_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)