/export/starexec/sandbox2/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- 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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 35 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 351 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(1(2(0(x1)))) -> 3(4(0(x1))) 0(5(1(5(x1)))) -> 2(3(1(x1))) 2(3(3(5(1(x1))))) -> 3(5(5(3(x1)))) 4(5(1(2(0(x1))))) -> 4(5(5(3(x1)))) 0(5(3(1(1(1(x1)))))) -> 0(1(0(1(5(1(x1)))))) 0(0(1(2(4(1(1(x1))))))) -> 0(0(3(5(5(1(x1)))))) 0(2(4(3(1(1(5(x1))))))) -> 0(2(0(0(1(3(1(x1))))))) 0(3(5(0(4(0(0(x1))))))) -> 1(3(4(0(3(4(x1)))))) 1(5(4(5(5(4(5(x1))))))) -> 4(2(2(5(1(0(x1)))))) 4(4(3(5(1(0(5(x1))))))) -> 2(5(1(1(1(4(x1)))))) 3(2(5(2(2(4(0(5(1(1(x1)))))))))) -> 3(1(3(5(5(5(0(2(5(x1))))))))) 1(2(2(1(4(3(2(2(1(3(0(x1))))))))))) -> 4(2(3(3(3(5(3(1(0(1(5(x1))))))))))) 4(5(1(3(0(0(0(5(3(1(5(x1))))))))))) -> 2(4(0(5(2(3(0(0(5(4(x1)))))))))) 2(0(1(2(5(2(4(3(5(2(0(5(x1)))))))))))) -> 2(4(4(4(2(1(0(4(3(3(2(5(x1)))))))))))) 5(5(3(0(2(2(4(2(5(0(1(5(x1)))))))))))) -> 3(2(3(1(5(0(4(4(2(3(5(5(x1)))))))))))) 0(1(5(1(0(2(5(5(1(4(1(0(1(x1))))))))))))) -> 0(0(5(1(0(5(3(1(0(1(5(3(x1)))))))))))) 4(5(1(5(1(5(3(4(3(3(0(4(1(x1))))))))))))) -> 4(5(2(3(2(5(3(2(1(0(2(1(x1)))))))))))) 5(1(3(5(0(2(5(5(1(0(3(2(2(x1))))))))))))) -> 1(2(3(4(4(3(3(5(0(1(1(5(2(x1))))))))))))) 0(2(4(1(5(3(3(3(1(1(1(1(0(2(x1)))))))))))))) -> 0(2(2(2(4(5(2(0(2(0(0(3(2(x1))))))))))))) 0(4(4(5(2(0(3(0(2(4(2(5(1(1(0(x1))))))))))))))) -> 2(1(0(0(3(3(2(1(1(3(0(5(0(5(0(x1))))))))))))))) 0(2(5(3(4(2(0(5(0(0(0(4(3(4(2(3(x1)))))))))))))))) -> 0(0(1(0(5(2(0(1(4(1(4(2(2(1(1(3(x1)))))))))))))))) 1(3(3(4(0(2(5(1(2(2(2(3(1(0(3(4(x1)))))))))))))))) -> 0(5(2(4(3(1(3(2(5(2(5(5(2(2(4(x1))))))))))))))) 5(0(5(1(0(0(1(4(3(5(1(4(4(2(1(0(x1)))))))))))))))) -> 2(0(4(3(2(1(0(4(4(2(4(3(3(5(0(5(x1)))))))))))))))) 5(0(5(3(0(0(3(1(5(1(4(0(4(3(4(5(x1)))))))))))))))) -> 2(0(5(1(5(4(1(2(3(4(3(5(2(4(5(x1))))))))))))))) 5(2(4(0(4(4(3(2(3(5(4(5(4(3(4(5(x1)))))))))))))))) -> 4(3(5(5(2(2(0(1(1(1(2(5(3(1(5(x1))))))))))))))) 1(4(0(0(5(4(1(4(2(2(3(2(0(0(5(1(1(x1))))))))))))))))) -> 1(2(1(0(5(3(3(0(1(5(1(0(4(5(0(3(1(x1))))))))))))))))) 2(1(2(0(1(1(2(5(3(3(1(5(5(0(4(3(0(x1))))))))))))))))) -> 2(1(0(2(1(1(3(2(1(1(2(3(1(5(3(4(x1)))))))))))))))) 4(5(5(0(5(5(2(5(1(5(3(5(0(4(4(5(3(x1))))))))))))))))) -> 4(5(0(1(3(5(0(0(0(3(2(3(5(4(2(3(3(x1))))))))))))))))) 5(5(5(2(1(5(3(0(2(5(4(2(5(5(0(0(5(x1))))))))))))))))) -> 1(3(4(4(4(4(5(1(0(3(2(5(0(1(2(0(3(1(x1)))))))))))))))))) 1(4(1(5(2(4(0(2(3(0(0(1(5(5(1(1(0(3(x1)))))))))))))))))) -> 0(3(3(2(1(5(5(0(5(2(0(2(2(3(0(0(3(x1))))))))))))))))) 2(2(1(0(1(2(0(2(4(2(3(2(0(3(0(0(0(2(x1)))))))))))))))))) -> 0(0(3(4(2(5(3(0(1(4(5(2(0(5(5(1(2(x1))))))))))))))))) 2(3(0(3(0(3(3(3(4(2(4(4(5(4(4(5(0(0(x1)))))))))))))))))) -> 3(3(1(4(3(1(5(2(5(5(1(4(5(2(0(4(x1)))))))))))))))) 4(1(4(3(4(0(0(1(1(0(4(1(0(4(0(5(1(1(x1)))))))))))))))))) -> 2(0(0(0(5(0(3(2(4(4(4(2(1(4(4(4(1(x1))))))))))))))))) 0(5(0(2(1(4(0(1(1(0(0(2(4(2(5(2(2(2(0(x1))))))))))))))))))) -> 0(4(1(2(2(0(3(0(3(3(4(5(0(4(2(2(1(5(4(x1))))))))))))))))))) 5(0(4(0(4(5(2(5(5(0(4(0(2(5(4(1(4(3(4(5(x1)))))))))))))))))))) -> 5(0(4(0(5(4(5(3(2(4(1(5(5(1(3(3(2(3(1(1(x1)))))))))))))))))))) 0(3(3(4(4(0(3(1(5(5(0(1(4(2(4(3(0(2(1(1(5(x1))))))))))))))))))))) -> 0(3(2(0(5(3(3(5(0(1(0(4(0(1(2(0(1(1(4(2(5(x1))))))))))))))))))))) 4(1(1(0(0(3(1(5(1(1(5(4(2(0(3(4(4(5(1(3(3(x1))))))))))))))))))))) -> 3(0(1(0(0(4(1(2(0(5(5(3(4(4(5(3(5(2(5(0(3(x1))))))))))))))))))))) 5(0(1(0(0(2(2(0(3(1(1(2(3(2(4(1(0(0(5(1(3(x1))))))))))))))))))))) -> 5(4(0(5(5(5(3(1(5(1(0(5(5(1(4(4(3(2(4(3(x1)))))))))))))))))))) 5(0(5(4(4(1(4(4(1(1(5(1(0(0(1(5(4(0(1(3(0(x1))))))))))))))))))))) -> 1(5(3(4(5(2(5(4(2(1(4(0(3(5(0(2(3(1(x1)))))))))))))))))) 5(1(4(0(4(3(5(3(0(3(4(2(0(2(1(5(2(0(1(1(0(x1))))))))))))))))))))) -> 5(4(5(3(1(4(1(3(0(2(3(4(2(4(5(2(4(3(0(4(4(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(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(1(2(0(x1)))) -> 3(4(0(x1))) 0(5(1(5(x1)))) -> 2(3(1(x1))) 2(3(3(5(1(x1))))) -> 3(5(5(3(x1)))) 4(5(1(2(0(x1))))) -> 4(5(5(3(x1)))) 0(5(3(1(1(1(x1)))))) -> 0(1(0(1(5(1(x1)))))) 0(0(1(2(4(1(1(x1))))))) -> 0(0(3(5(5(1(x1)))))) 0(2(4(3(1(1(5(x1))))))) -> 0(2(0(0(1(3(1(x1))))))) 0(3(5(0(4(0(0(x1))))))) -> 1(3(4(0(3(4(x1)))))) 1(5(4(5(5(4(5(x1))))))) -> 4(2(2(5(1(0(x1)))))) 4(4(3(5(1(0(5(x1))))))) -> 2(5(1(1(1(4(x1)))))) 3(2(5(2(2(4(0(5(1(1(x1)))))))))) -> 3(1(3(5(5(5(0(2(5(x1))))))))) 1(2(2(1(4(3(2(2(1(3(0(x1))))))))))) -> 4(2(3(3(3(5(3(1(0(1(5(x1))))))))))) 4(5(1(3(0(0(0(5(3(1(5(x1))))))))))) -> 2(4(0(5(2(3(0(0(5(4(x1)))))))))) 2(0(1(2(5(2(4(3(5(2(0(5(x1)))))))))))) -> 2(4(4(4(2(1(0(4(3(3(2(5(x1)))))))))))) 5(5(3(0(2(2(4(2(5(0(1(5(x1)))))))))))) -> 3(2(3(1(5(0(4(4(2(3(5(5(x1)))))))))))) 0(1(5(1(0(2(5(5(1(4(1(0(1(x1))))))))))))) -> 0(0(5(1(0(5(3(1(0(1(5(3(x1)))))))))))) 4(5(1(5(1(5(3(4(3(3(0(4(1(x1))))))))))))) -> 4(5(2(3(2(5(3(2(1(0(2(1(x1)))))))))))) 5(1(3(5(0(2(5(5(1(0(3(2(2(x1))))))))))))) -> 1(2(3(4(4(3(3(5(0(1(1(5(2(x1))))))))))))) 0(2(4(1(5(3(3(3(1(1(1(1(0(2(x1)))))))))))))) -> 0(2(2(2(4(5(2(0(2(0(0(3(2(x1))))))))))))) 0(4(4(5(2(0(3(0(2(4(2(5(1(1(0(x1))))))))))))))) -> 2(1(0(0(3(3(2(1(1(3(0(5(0(5(0(x1))))))))))))))) 0(2(5(3(4(2(0(5(0(0(0(4(3(4(2(3(x1)))))))))))))))) -> 0(0(1(0(5(2(0(1(4(1(4(2(2(1(1(3(x1)))))))))))))))) 1(3(3(4(0(2(5(1(2(2(2(3(1(0(3(4(x1)))))))))))))))) -> 0(5(2(4(3(1(3(2(5(2(5(5(2(2(4(x1))))))))))))))) 5(0(5(1(0(0(1(4(3(5(1(4(4(2(1(0(x1)))))))))))))))) -> 2(0(4(3(2(1(0(4(4(2(4(3(3(5(0(5(x1)))))))))))))))) 5(0(5(3(0(0(3(1(5(1(4(0(4(3(4(5(x1)))))))))))))))) -> 2(0(5(1(5(4(1(2(3(4(3(5(2(4(5(x1))))))))))))))) 5(2(4(0(4(4(3(2(3(5(4(5(4(3(4(5(x1)))))))))))))))) -> 4(3(5(5(2(2(0(1(1(1(2(5(3(1(5(x1))))))))))))))) 1(4(0(0(5(4(1(4(2(2(3(2(0(0(5(1(1(x1))))))))))))))))) -> 1(2(1(0(5(3(3(0(1(5(1(0(4(5(0(3(1(x1))))))))))))))))) 2(1(2(0(1(1(2(5(3(3(1(5(5(0(4(3(0(x1))))))))))))))))) -> 2(1(0(2(1(1(3(2(1(1(2(3(1(5(3(4(x1)))))))))))))))) 4(5(5(0(5(5(2(5(1(5(3(5(0(4(4(5(3(x1))))))))))))))))) -> 4(5(0(1(3(5(0(0(0(3(2(3(5(4(2(3(3(x1))))))))))))))))) 5(5(5(2(1(5(3(0(2(5(4(2(5(5(0(0(5(x1))))))))))))))))) -> 1(3(4(4(4(4(5(1(0(3(2(5(0(1(2(0(3(1(x1)))))))))))))))))) 1(4(1(5(2(4(0(2(3(0(0(1(5(5(1(1(0(3(x1)))))))))))))))))) -> 0(3(3(2(1(5(5(0(5(2(0(2(2(3(0(0(3(x1))))))))))))))))) 2(2(1(0(1(2(0(2(4(2(3(2(0(3(0(0(0(2(x1)))))))))))))))))) -> 0(0(3(4(2(5(3(0(1(4(5(2(0(5(5(1(2(x1))))))))))))))))) 2(3(0(3(0(3(3(3(4(2(4(4(5(4(4(5(0(0(x1)))))))))))))))))) -> 3(3(1(4(3(1(5(2(5(5(1(4(5(2(0(4(x1)))))))))))))))) 4(1(4(3(4(0(0(1(1(0(4(1(0(4(0(5(1(1(x1)))))))))))))))))) -> 2(0(0(0(5(0(3(2(4(4(4(2(1(4(4(4(1(x1))))))))))))))))) 0(5(0(2(1(4(0(1(1(0(0(2(4(2(5(2(2(2(0(x1))))))))))))))))))) -> 0(4(1(2(2(0(3(0(3(3(4(5(0(4(2(2(1(5(4(x1))))))))))))))))))) 5(0(4(0(4(5(2(5(5(0(4(0(2(5(4(1(4(3(4(5(x1)))))))))))))))))))) -> 5(0(4(0(5(4(5(3(2(4(1(5(5(1(3(3(2(3(1(1(x1)))))))))))))))))))) 0(3(3(4(4(0(3(1(5(5(0(1(4(2(4(3(0(2(1(1(5(x1))))))))))))))))))))) -> 0(3(2(0(5(3(3(5(0(1(0(4(0(1(2(0(1(1(4(2(5(x1))))))))))))))))))))) 4(1(1(0(0(3(1(5(1(1(5(4(2(0(3(4(4(5(1(3(3(x1))))))))))))))))))))) -> 3(0(1(0(0(4(1(2(0(5(5(3(4(4(5(3(5(2(5(0(3(x1))))))))))))))))))))) 5(0(1(0(0(2(2(0(3(1(1(2(3(2(4(1(0(0(5(1(3(x1))))))))))))))))))))) -> 5(4(0(5(5(5(3(1(5(1(0(5(5(1(4(4(3(2(4(3(x1)))))))))))))))))))) 5(0(5(4(4(1(4(4(1(1(5(1(0(0(1(5(4(0(1(3(0(x1))))))))))))))))))))) -> 1(5(3(4(5(2(5(4(2(1(4(0(3(5(0(2(3(1(x1)))))))))))))))))) 5(1(4(0(4(3(5(3(0(3(4(2(0(2(1(5(2(0(1(1(0(x1))))))))))))))))))))) -> 5(4(5(3(1(4(1(3(0(2(3(4(2(4(5(2(4(3(0(4(4(x1))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(1(2(0(x1)))) -> 3(4(0(x1))) 0(5(1(5(x1)))) -> 2(3(1(x1))) 2(3(3(5(1(x1))))) -> 3(5(5(3(x1)))) 4(5(1(2(0(x1))))) -> 4(5(5(3(x1)))) 0(5(3(1(1(1(x1)))))) -> 0(1(0(1(5(1(x1)))))) 0(0(1(2(4(1(1(x1))))))) -> 0(0(3(5(5(1(x1)))))) 0(2(4(3(1(1(5(x1))))))) -> 0(2(0(0(1(3(1(x1))))))) 0(3(5(0(4(0(0(x1))))))) -> 1(3(4(0(3(4(x1)))))) 1(5(4(5(5(4(5(x1))))))) -> 4(2(2(5(1(0(x1)))))) 4(4(3(5(1(0(5(x1))))))) -> 2(5(1(1(1(4(x1)))))) 3(2(5(2(2(4(0(5(1(1(x1)))))))))) -> 3(1(3(5(5(5(0(2(5(x1))))))))) 1(2(2(1(4(3(2(2(1(3(0(x1))))))))))) -> 4(2(3(3(3(5(3(1(0(1(5(x1))))))))))) 4(5(1(3(0(0(0(5(3(1(5(x1))))))))))) -> 2(4(0(5(2(3(0(0(5(4(x1)))))))))) 2(0(1(2(5(2(4(3(5(2(0(5(x1)))))))))))) -> 2(4(4(4(2(1(0(4(3(3(2(5(x1)))))))))))) 5(5(3(0(2(2(4(2(5(0(1(5(x1)))))))))))) -> 3(2(3(1(5(0(4(4(2(3(5(5(x1)))))))))))) 0(1(5(1(0(2(5(5(1(4(1(0(1(x1))))))))))))) -> 0(0(5(1(0(5(3(1(0(1(5(3(x1)))))))))))) 4(5(1(5(1(5(3(4(3(3(0(4(1(x1))))))))))))) -> 4(5(2(3(2(5(3(2(1(0(2(1(x1)))))))))))) 5(1(3(5(0(2(5(5(1(0(3(2(2(x1))))))))))))) -> 1(2(3(4(4(3(3(5(0(1(1(5(2(x1))))))))))))) 0(2(4(1(5(3(3(3(1(1(1(1(0(2(x1)))))))))))))) -> 0(2(2(2(4(5(2(0(2(0(0(3(2(x1))))))))))))) 0(4(4(5(2(0(3(0(2(4(2(5(1(1(0(x1))))))))))))))) -> 2(1(0(0(3(3(2(1(1(3(0(5(0(5(0(x1))))))))))))))) 0(2(5(3(4(2(0(5(0(0(0(4(3(4(2(3(x1)))))))))))))))) -> 0(0(1(0(5(2(0(1(4(1(4(2(2(1(1(3(x1)))))))))))))))) 1(3(3(4(0(2(5(1(2(2(2(3(1(0(3(4(x1)))))))))))))))) -> 0(5(2(4(3(1(3(2(5(2(5(5(2(2(4(x1))))))))))))))) 5(0(5(1(0(0(1(4(3(5(1(4(4(2(1(0(x1)))))))))))))))) -> 2(0(4(3(2(1(0(4(4(2(4(3(3(5(0(5(x1)))))))))))))))) 5(0(5(3(0(0(3(1(5(1(4(0(4(3(4(5(x1)))))))))))))))) -> 2(0(5(1(5(4(1(2(3(4(3(5(2(4(5(x1))))))))))))))) 5(2(4(0(4(4(3(2(3(5(4(5(4(3(4(5(x1)))))))))))))))) -> 4(3(5(5(2(2(0(1(1(1(2(5(3(1(5(x1))))))))))))))) 1(4(0(0(5(4(1(4(2(2(3(2(0(0(5(1(1(x1))))))))))))))))) -> 1(2(1(0(5(3(3(0(1(5(1(0(4(5(0(3(1(x1))))))))))))))))) 2(1(2(0(1(1(2(5(3(3(1(5(5(0(4(3(0(x1))))))))))))))))) -> 2(1(0(2(1(1(3(2(1(1(2(3(1(5(3(4(x1)))))))))))))))) 4(5(5(0(5(5(2(5(1(5(3(5(0(4(4(5(3(x1))))))))))))))))) -> 4(5(0(1(3(5(0(0(0(3(2(3(5(4(2(3(3(x1))))))))))))))))) 5(5(5(2(1(5(3(0(2(5(4(2(5(5(0(0(5(x1))))))))))))))))) -> 1(3(4(4(4(4(5(1(0(3(2(5(0(1(2(0(3(1(x1)))))))))))))))))) 1(4(1(5(2(4(0(2(3(0(0(1(5(5(1(1(0(3(x1)))))))))))))))))) -> 0(3(3(2(1(5(5(0(5(2(0(2(2(3(0(0(3(x1))))))))))))))))) 2(2(1(0(1(2(0(2(4(2(3(2(0(3(0(0(0(2(x1)))))))))))))))))) -> 0(0(3(4(2(5(3(0(1(4(5(2(0(5(5(1(2(x1))))))))))))))))) 2(3(0(3(0(3(3(3(4(2(4(4(5(4(4(5(0(0(x1)))))))))))))))))) -> 3(3(1(4(3(1(5(2(5(5(1(4(5(2(0(4(x1)))))))))))))))) 4(1(4(3(4(0(0(1(1(0(4(1(0(4(0(5(1(1(x1)))))))))))))))))) -> 2(0(0(0(5(0(3(2(4(4(4(2(1(4(4(4(1(x1))))))))))))))))) 0(5(0(2(1(4(0(1(1(0(0(2(4(2(5(2(2(2(0(x1))))))))))))))))))) -> 0(4(1(2(2(0(3(0(3(3(4(5(0(4(2(2(1(5(4(x1))))))))))))))))))) 5(0(4(0(4(5(2(5(5(0(4(0(2(5(4(1(4(3(4(5(x1)))))))))))))))))))) -> 5(0(4(0(5(4(5(3(2(4(1(5(5(1(3(3(2(3(1(1(x1)))))))))))))))))))) 0(3(3(4(4(0(3(1(5(5(0(1(4(2(4(3(0(2(1(1(5(x1))))))))))))))))))))) -> 0(3(2(0(5(3(3(5(0(1(0(4(0(1(2(0(1(1(4(2(5(x1))))))))))))))))))))) 4(1(1(0(0(3(1(5(1(1(5(4(2(0(3(4(4(5(1(3(3(x1))))))))))))))))))))) -> 3(0(1(0(0(4(1(2(0(5(5(3(4(4(5(3(5(2(5(0(3(x1))))))))))))))))))))) 5(0(1(0(0(2(2(0(3(1(1(2(3(2(4(1(0(0(5(1(3(x1))))))))))))))))))))) -> 5(4(0(5(5(5(3(1(5(1(0(5(5(1(4(4(3(2(4(3(x1)))))))))))))))))))) 5(0(5(4(4(1(4(4(1(1(5(1(0(0(1(5(4(0(1(3(0(x1))))))))))))))))))))) -> 1(5(3(4(5(2(5(4(2(1(4(0(3(5(0(2(3(1(x1)))))))))))))))))) 5(1(4(0(4(3(5(3(0(3(4(2(0(2(1(5(2(0(1(1(0(x1))))))))))))))))))))) -> 5(4(5(3(1(4(1(3(0(2(3(4(2(4(5(2(4(3(0(4(4(x1))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(1(2(0(x1)))) -> 3(4(0(x1))) 0(5(1(5(x1)))) -> 2(3(1(x1))) 2(3(3(5(1(x1))))) -> 3(5(5(3(x1)))) 4(5(1(2(0(x1))))) -> 4(5(5(3(x1)))) 0(5(3(1(1(1(x1)))))) -> 0(1(0(1(5(1(x1)))))) 0(0(1(2(4(1(1(x1))))))) -> 0(0(3(5(5(1(x1)))))) 0(2(4(3(1(1(5(x1))))))) -> 0(2(0(0(1(3(1(x1))))))) 0(3(5(0(4(0(0(x1))))))) -> 1(3(4(0(3(4(x1)))))) 1(5(4(5(5(4(5(x1))))))) -> 4(2(2(5(1(0(x1)))))) 4(4(3(5(1(0(5(x1))))))) -> 2(5(1(1(1(4(x1)))))) 3(2(5(2(2(4(0(5(1(1(x1)))))))))) -> 3(1(3(5(5(5(0(2(5(x1))))))))) 1(2(2(1(4(3(2(2(1(3(0(x1))))))))))) -> 4(2(3(3(3(5(3(1(0(1(5(x1))))))))))) 4(5(1(3(0(0(0(5(3(1(5(x1))))))))))) -> 2(4(0(5(2(3(0(0(5(4(x1)))))))))) 2(0(1(2(5(2(4(3(5(2(0(5(x1)))))))))))) -> 2(4(4(4(2(1(0(4(3(3(2(5(x1)))))))))))) 5(5(3(0(2(2(4(2(5(0(1(5(x1)))))))))))) -> 3(2(3(1(5(0(4(4(2(3(5(5(x1)))))))))))) 0(1(5(1(0(2(5(5(1(4(1(0(1(x1))))))))))))) -> 0(0(5(1(0(5(3(1(0(1(5(3(x1)))))))))))) 4(5(1(5(1(5(3(4(3(3(0(4(1(x1))))))))))))) -> 4(5(2(3(2(5(3(2(1(0(2(1(x1)))))))))))) 5(1(3(5(0(2(5(5(1(0(3(2(2(x1))))))))))))) -> 1(2(3(4(4(3(3(5(0(1(1(5(2(x1))))))))))))) 0(2(4(1(5(3(3(3(1(1(1(1(0(2(x1)))))))))))))) -> 0(2(2(2(4(5(2(0(2(0(0(3(2(x1))))))))))))) 0(4(4(5(2(0(3(0(2(4(2(5(1(1(0(x1))))))))))))))) -> 2(1(0(0(3(3(2(1(1(3(0(5(0(5(0(x1))))))))))))))) 0(2(5(3(4(2(0(5(0(0(0(4(3(4(2(3(x1)))))))))))))))) -> 0(0(1(0(5(2(0(1(4(1(4(2(2(1(1(3(x1)))))))))))))))) 1(3(3(4(0(2(5(1(2(2(2(3(1(0(3(4(x1)))))))))))))))) -> 0(5(2(4(3(1(3(2(5(2(5(5(2(2(4(x1))))))))))))))) 5(0(5(1(0(0(1(4(3(5(1(4(4(2(1(0(x1)))))))))))))))) -> 2(0(4(3(2(1(0(4(4(2(4(3(3(5(0(5(x1)))))))))))))))) 5(0(5(3(0(0(3(1(5(1(4(0(4(3(4(5(x1)))))))))))))))) -> 2(0(5(1(5(4(1(2(3(4(3(5(2(4(5(x1))))))))))))))) 5(2(4(0(4(4(3(2(3(5(4(5(4(3(4(5(x1)))))))))))))))) -> 4(3(5(5(2(2(0(1(1(1(2(5(3(1(5(x1))))))))))))))) 1(4(0(0(5(4(1(4(2(2(3(2(0(0(5(1(1(x1))))))))))))))))) -> 1(2(1(0(5(3(3(0(1(5(1(0(4(5(0(3(1(x1))))))))))))))))) 2(1(2(0(1(1(2(5(3(3(1(5(5(0(4(3(0(x1))))))))))))))))) -> 2(1(0(2(1(1(3(2(1(1(2(3(1(5(3(4(x1)))))))))))))))) 4(5(5(0(5(5(2(5(1(5(3(5(0(4(4(5(3(x1))))))))))))))))) -> 4(5(0(1(3(5(0(0(0(3(2(3(5(4(2(3(3(x1))))))))))))))))) 5(5(5(2(1(5(3(0(2(5(4(2(5(5(0(0(5(x1))))))))))))))))) -> 1(3(4(4(4(4(5(1(0(3(2(5(0(1(2(0(3(1(x1)))))))))))))))))) 1(4(1(5(2(4(0(2(3(0(0(1(5(5(1(1(0(3(x1)))))))))))))))))) -> 0(3(3(2(1(5(5(0(5(2(0(2(2(3(0(0(3(x1))))))))))))))))) 2(2(1(0(1(2(0(2(4(2(3(2(0(3(0(0(0(2(x1)))))))))))))))))) -> 0(0(3(4(2(5(3(0(1(4(5(2(0(5(5(1(2(x1))))))))))))))))) 2(3(0(3(0(3(3(3(4(2(4(4(5(4(4(5(0(0(x1)))))))))))))))))) -> 3(3(1(4(3(1(5(2(5(5(1(4(5(2(0(4(x1)))))))))))))))) 4(1(4(3(4(0(0(1(1(0(4(1(0(4(0(5(1(1(x1)))))))))))))))))) -> 2(0(0(0(5(0(3(2(4(4(4(2(1(4(4(4(1(x1))))))))))))))))) 0(5(0(2(1(4(0(1(1(0(0(2(4(2(5(2(2(2(0(x1))))))))))))))))))) -> 0(4(1(2(2(0(3(0(3(3(4(5(0(4(2(2(1(5(4(x1))))))))))))))))))) 5(0(4(0(4(5(2(5(5(0(4(0(2(5(4(1(4(3(4(5(x1)))))))))))))))))))) -> 5(0(4(0(5(4(5(3(2(4(1(5(5(1(3(3(2(3(1(1(x1)))))))))))))))))))) 0(3(3(4(4(0(3(1(5(5(0(1(4(2(4(3(0(2(1(1(5(x1))))))))))))))))))))) -> 0(3(2(0(5(3(3(5(0(1(0(4(0(1(2(0(1(1(4(2(5(x1))))))))))))))))))))) 4(1(1(0(0(3(1(5(1(1(5(4(2(0(3(4(4(5(1(3(3(x1))))))))))))))))))))) -> 3(0(1(0(0(4(1(2(0(5(5(3(4(4(5(3(5(2(5(0(3(x1))))))))))))))))))))) 5(0(1(0(0(2(2(0(3(1(1(2(3(2(4(1(0(0(5(1(3(x1))))))))))))))))))))) -> 5(4(0(5(5(5(3(1(5(1(0(5(5(1(4(4(3(2(4(3(x1)))))))))))))))))))) 5(0(5(4(4(1(4(4(1(1(5(1(0(0(1(5(4(0(1(3(0(x1))))))))))))))))))))) -> 1(5(3(4(5(2(5(4(2(1(4(0(3(5(0(2(3(1(x1)))))))))))))))))) 5(1(4(0(4(3(5(3(0(3(4(2(0(2(1(5(2(0(1(1(0(x1))))))))))))))))))))) -> 5(4(5(3(1(4(1(3(0(2(3(4(2(4(5(2(4(3(0(4(4(x1))))))))))))))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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 3. The certificate found is represented by the following graph. "[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] {(135,136,[0_1|0, 2_1|0, 4_1|0, 1_1|0, 3_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]), (135,137,[0_1|1, 2_1|1, 4_1|1, 1_1|1, 3_1|1, 5_1|1]), (135,138,[3_1|2]), (135,140,[0_1|2]), (135,151,[2_1|2]), (135,153,[0_1|2]), (135,158,[0_1|2]), (135,176,[0_1|2]), (135,181,[0_1|2]), (135,187,[0_1|2]), (135,199,[0_1|2]), (135,214,[1_1|2]), (135,219,[0_1|2]), (135,239,[2_1|2]), (135,253,[3_1|2]), (135,256,[3_1|2]), (135,271,[2_1|2]), (135,282,[2_1|2]), (135,297,[0_1|2]), (135,313,[4_1|2]), (135,316,[2_1|2]), (135,325,[4_1|2]), (135,336,[4_1|2]), (135,352,[2_1|2]), (135,357,[2_1|2]), (135,373,[3_1|2]), (135,393,[4_1|2]), (135,398,[4_1|2]), (135,408,[0_1|2]), (135,422,[1_1|2]), (135,438,[0_1|2]), (135,454,[3_1|2]), (135,462,[3_1|2]), (135,473,[1_1|2]), (135,490,[1_1|2]), (135,502,[5_1|2]), (135,522,[2_1|2]), (135,537,[2_1|2]), (135,551,[1_1|2]), (135,568,[5_1|2]), (135,587,[5_1|2]), (135,606,[4_1|2]), (136,136,[cons_0_1|0, cons_2_1|0, cons_4_1|0, cons_1_1|0, cons_3_1|0, cons_5_1|0]), (137,136,[encArg_1|1]), (137,137,[0_1|1, 2_1|1, 4_1|1, 1_1|1, 3_1|1, 5_1|1]), (137,138,[3_1|2]), (137,140,[0_1|2]), (137,151,[2_1|2]), (137,153,[0_1|2]), (137,158,[0_1|2]), (137,176,[0_1|2]), (137,181,[0_1|2]), (137,187,[0_1|2]), (137,199,[0_1|2]), (137,214,[1_1|2]), (137,219,[0_1|2]), (137,239,[2_1|2]), (137,253,[3_1|2]), (137,256,[3_1|2]), (137,271,[2_1|2]), (137,282,[2_1|2]), (137,297,[0_1|2]), (137,313,[4_1|2]), (137,316,[2_1|2]), (137,325,[4_1|2]), (137,336,[4_1|2]), (137,352,[2_1|2]), (137,357,[2_1|2]), (137,373,[3_1|2]), (137,393,[4_1|2]), (137,398,[4_1|2]), (137,408,[0_1|2]), (137,422,[1_1|2]), (137,438,[0_1|2]), (137,454,[3_1|2]), (137,462,[3_1|2]), (137,473,[1_1|2]), (137,490,[1_1|2]), (137,502,[5_1|2]), (137,522,[2_1|2]), (137,537,[2_1|2]), (137,551,[1_1|2]), (137,568,[5_1|2]), (137,587,[5_1|2]), (137,606,[4_1|2]), (138,139,[4_1|2]), (139,137,[0_1|2]), (139,140,[0_1|2]), (139,153,[0_1|2]), (139,158,[0_1|2]), (139,176,[0_1|2]), (139,181,[0_1|2]), (139,187,[0_1|2]), (139,199,[0_1|2]), (139,219,[0_1|2]), (139,297,[0_1|2]), (139,408,[0_1|2]), (139,438,[0_1|2]), (139,358,[0_1|2]), (139,523,[0_1|2]), (139,538,[0_1|2]), (139,138,[3_1|2]), (139,151,[2_1|2]), (139,214,[1_1|2]), (139,239,[2_1|2]), (139,626,[2_1|3]), (140,141,[0_1|2]), (141,142,[5_1|2]), (142,143,[1_1|2]), (143,144,[0_1|2]), (144,145,[5_1|2]), (145,146,[3_1|2]), (146,147,[1_1|2]), (147,148,[0_1|2]), (148,149,[1_1|2]), (149,150,[5_1|2]), (150,137,[3_1|2]), (150,214,[3_1|2]), (150,422,[3_1|2]), (150,473,[3_1|2]), (150,490,[3_1|2]), (150,551,[3_1|2]), (150,154,[3_1|2]), (150,454,[3_1|2]), (151,152,[3_1|2]), (152,137,[1_1|2]), (152,502,[1_1|2]), (152,568,[1_1|2]), (152,587,[1_1|2]), (152,552,[1_1|2]), (152,393,[4_1|2]), (152,398,[4_1|2]), (152,408,[0_1|2]), (152,422,[1_1|2]), (152,438,[0_1|2]), (153,154,[1_1|2]), (154,155,[0_1|2]), (154,140,[0_1|2]), (155,156,[1_1|2]), (156,157,[5_1|2]), (156,490,[1_1|2]), (156,502,[5_1|2]), (157,137,[1_1|2]), (157,214,[1_1|2]), (157,422,[1_1|2]), (157,473,[1_1|2]), (157,490,[1_1|2]), (157,551,[1_1|2]), (157,393,[4_1|2]), (157,398,[4_1|2]), (157,408,[0_1|2]), (157,438,[0_1|2]), (158,159,[4_1|2]), (159,160,[1_1|2]), (160,161,[2_1|2]), (161,162,[2_1|2]), (162,163,[0_1|2]), (163,164,[3_1|2]), (164,165,[0_1|2]), (165,166,[3_1|2]), (166,167,[3_1|2]), (167,168,[4_1|2]), (168,169,[5_1|2]), (169,170,[0_1|2]), (170,171,[4_1|2]), (171,172,[2_1|2]), (172,173,[2_1|2]), (173,174,[1_1|2]), (173,393,[4_1|2]), (174,175,[5_1|2]), (175,137,[4_1|2]), (175,140,[4_1|2]), (175,153,[4_1|2]), (175,158,[4_1|2]), (175,176,[4_1|2]), (175,181,[4_1|2]), (175,187,[4_1|2]), (175,199,[4_1|2]), (175,219,[4_1|2]), (175,297,[4_1|2]), (175,408,[4_1|2]), (175,438,[4_1|2]), (175,358,[4_1|2]), (175,523,[4_1|2]), (175,538,[4_1|2]), (175,313,[4_1|2]), (175,316,[2_1|2]), (175,325,[4_1|2]), (175,336,[4_1|2]), (175,352,[2_1|2]), (175,357,[2_1|2]), (175,373,[3_1|2]), (176,177,[0_1|2]), (177,178,[3_1|2]), (178,179,[5_1|2]), (179,180,[5_1|2]), (179,490,[1_1|2]), (179,502,[5_1|2]), (180,137,[1_1|2]), (180,214,[1_1|2]), (180,422,[1_1|2]), (180,473,[1_1|2]), (180,490,[1_1|2]), (180,551,[1_1|2]), (180,393,[4_1|2]), (180,398,[4_1|2]), (180,408,[0_1|2]), (180,438,[0_1|2]), (181,182,[2_1|2]), (182,183,[0_1|2]), (183,184,[0_1|2]), (184,185,[1_1|2]), (185,186,[3_1|2]), (186,137,[1_1|2]), (186,502,[1_1|2]), (186,568,[1_1|2]), (186,587,[1_1|2]), (186,552,[1_1|2]), (186,393,[4_1|2]), (186,398,[4_1|2]), (186,408,[0_1|2]), (186,422,[1_1|2]), (186,438,[0_1|2]), (187,188,[2_1|2]), (188,189,[2_1|2]), (189,190,[2_1|2]), (190,191,[4_1|2]), (191,192,[5_1|2]), (192,193,[2_1|2]), (193,194,[0_1|2]), (194,195,[2_1|2]), (195,196,[0_1|2]), (196,197,[0_1|2]), (197,198,[3_1|2]), (197,454,[3_1|2]), (198,137,[2_1|2]), (198,151,[2_1|2]), (198,239,[2_1|2]), (198,271,[2_1|2]), (198,282,[2_1|2]), (198,316,[2_1|2]), (198,352,[2_1|2]), (198,357,[2_1|2]), (198,522,[2_1|2]), (198,537,[2_1|2]), (198,182,[2_1|2]), (198,188,[2_1|2]), (198,253,[3_1|2]), (198,256,[3_1|2]), (198,297,[0_1|2]), (199,200,[0_1|2]), (200,201,[1_1|2]), (201,202,[0_1|2]), (202,203,[5_1|2]), (203,204,[2_1|2]), (204,205,[0_1|2]), (205,206,[1_1|2]), (206,207,[4_1|2]), (207,208,[1_1|2]), (208,209,[4_1|2]), (209,210,[2_1|2]), (210,211,[2_1|2]), (211,212,[1_1|2]), (212,213,[1_1|2]), (212,408,[0_1|2]), (213,137,[3_1|2]), (213,138,[3_1|2]), (213,253,[3_1|2]), (213,256,[3_1|2]), (213,373,[3_1|2]), (213,454,[3_1|2]), (213,462,[3_1|2]), (213,152,[3_1|2]), (213,400,[3_1|2]), (213,627,[3_1|2]), (214,215,[3_1|2]), (215,216,[4_1|2]), (216,217,[0_1|2]), (217,218,[3_1|2]), (218,137,[4_1|2]), (218,140,[4_1|2]), (218,153,[4_1|2]), (218,158,[4_1|2]), (218,176,[4_1|2]), (218,181,[4_1|2]), (218,187,[4_1|2]), (218,199,[4_1|2]), (218,219,[4_1|2]), (218,297,[4_1|2]), (218,408,[4_1|2]), (218,438,[4_1|2]), (218,141,[4_1|2]), (218,177,[4_1|2]), (218,200,[4_1|2]), (218,298,[4_1|2]), (218,313,[4_1|2]), (218,316,[2_1|2]), (218,325,[4_1|2]), (218,336,[4_1|2]), (218,352,[2_1|2]), (218,357,[2_1|2]), (218,373,[3_1|2]), (219,220,[3_1|2]), (220,221,[2_1|2]), (221,222,[0_1|2]), (222,223,[5_1|2]), (223,224,[3_1|2]), (224,225,[3_1|2]), (225,226,[5_1|2]), (226,227,[0_1|2]), (227,228,[1_1|2]), (228,229,[0_1|2]), (229,230,[4_1|2]), (230,231,[0_1|2]), (230,620,[3_1|3]), (231,232,[1_1|2]), (232,233,[2_1|2]), (233,234,[0_1|2]), (234,235,[1_1|2]), (235,236,[1_1|2]), (236,237,[4_1|2]), (237,238,[2_1|2]), (238,137,[5_1|2]), (238,502,[5_1|2]), (238,568,[5_1|2]), (238,587,[5_1|2]), (238,552,[5_1|2]), (238,462,[3_1|2]), (238,473,[1_1|2]), (238,490,[1_1|2]), (238,522,[2_1|2]), (238,537,[2_1|2]), (238,551,[1_1|2]), (238,606,[4_1|2]), (239,240,[1_1|2]), (240,241,[0_1|2]), (241,242,[0_1|2]), (242,243,[3_1|2]), (243,244,[3_1|2]), (244,245,[2_1|2]), (245,246,[1_1|2]), (246,247,[1_1|2]), (247,248,[3_1|2]), (248,249,[0_1|2]), (249,250,[5_1|2]), (250,251,[0_1|2]), (250,158,[0_1|2]), (251,252,[5_1|2]), (251,522,[2_1|2]), (251,537,[2_1|2]), (251,551,[1_1|2]), (251,568,[5_1|2]), (251,587,[5_1|2]), (252,137,[0_1|2]), (252,140,[0_1|2]), (252,153,[0_1|2]), (252,158,[0_1|2]), (252,176,[0_1|2]), (252,181,[0_1|2]), (252,187,[0_1|2]), (252,199,[0_1|2]), (252,219,[0_1|2]), (252,297,[0_1|2]), (252,408,[0_1|2]), (252,438,[0_1|2]), (252,138,[3_1|2]), (252,151,[2_1|2]), (252,214,[1_1|2]), (252,239,[2_1|2]), (253,254,[5_1|2]), (253,462,[3_1|2]), (254,255,[5_1|2]), (255,137,[3_1|2]), (255,214,[3_1|2]), (255,422,[3_1|2]), (255,473,[3_1|2]), (255,490,[3_1|2]), (255,551,[3_1|2]), (255,454,[3_1|2]), (256,257,[3_1|2]), (257,258,[1_1|2]), (258,259,[4_1|2]), (259,260,[3_1|2]), (260,261,[1_1|2]), (261,262,[5_1|2]), (262,263,[2_1|2]), (263,264,[5_1|2]), (264,265,[5_1|2]), (265,266,[1_1|2]), (266,267,[4_1|2]), (267,268,[5_1|2]), (268,269,[2_1|2]), (269,270,[0_1|2]), (269,239,[2_1|2]), (270,137,[4_1|2]), (270,140,[4_1|2]), (270,153,[4_1|2]), (270,158,[4_1|2]), (270,176,[4_1|2]), (270,181,[4_1|2]), (270,187,[4_1|2]), (270,199,[4_1|2]), (270,219,[4_1|2]), (270,297,[4_1|2]), (270,408,[4_1|2]), (270,438,[4_1|2]), (270,141,[4_1|2]), (270,177,[4_1|2]), (270,200,[4_1|2]), (270,298,[4_1|2]), (270,313,[4_1|2]), (270,316,[2_1|2]), (270,325,[4_1|2]), (270,336,[4_1|2]), (270,352,[2_1|2]), (270,357,[2_1|2]), (270,373,[3_1|2]), (271,272,[4_1|2]), (272,273,[4_1|2]), (273,274,[4_1|2]), (274,275,[2_1|2]), (275,276,[1_1|2]), (276,277,[0_1|2]), (277,278,[4_1|2]), (278,279,[3_1|2]), (279,280,[3_1|2]), (279,454,[3_1|2]), (280,281,[2_1|2]), (281,137,[5_1|2]), (281,502,[5_1|2]), (281,568,[5_1|2]), (281,587,[5_1|2]), (281,409,[5_1|2]), (281,539,[5_1|2]), (281,462,[3_1|2]), (281,473,[1_1|2]), (281,490,[1_1|2]), (281,522,[2_1|2]), (281,537,[2_1|2]), (281,551,[1_1|2]), (281,606,[4_1|2]), (282,283,[1_1|2]), (283,284,[0_1|2]), (284,285,[2_1|2]), (285,286,[1_1|2]), (286,287,[1_1|2]), (287,288,[3_1|2]), (288,289,[2_1|2]), (289,290,[1_1|2]), (290,291,[1_1|2]), (291,292,[2_1|2]), (292,293,[3_1|2]), (293,294,[1_1|2]), (294,295,[5_1|2]), (295,296,[3_1|2]), (296,137,[4_1|2]), (296,140,[4_1|2]), (296,153,[4_1|2]), (296,158,[4_1|2]), (296,176,[4_1|2]), (296,181,[4_1|2]), (296,187,[4_1|2]), (296,199,[4_1|2]), (296,219,[4_1|2]), (296,297,[4_1|2]), (296,408,[4_1|2]), (296,438,[4_1|2]), (296,374,[4_1|2]), (296,313,[4_1|2]), (296,316,[2_1|2]), (296,325,[4_1|2]), (296,336,[4_1|2]), (296,352,[2_1|2]), (296,357,[2_1|2]), (296,373,[3_1|2]), (297,298,[0_1|2]), (298,299,[3_1|2]), (299,300,[4_1|2]), (300,301,[2_1|2]), (301,302,[5_1|2]), (302,303,[3_1|2]), (303,304,[0_1|2]), (304,305,[1_1|2]), (305,306,[4_1|2]), (306,307,[5_1|2]), (307,308,[2_1|2]), (308,309,[0_1|2]), (309,310,[5_1|2]), (310,311,[5_1|2]), (311,312,[1_1|2]), (311,398,[4_1|2]), (312,137,[2_1|2]), (312,151,[2_1|2]), (312,239,[2_1|2]), (312,271,[2_1|2]), (312,282,[2_1|2]), (312,316,[2_1|2]), (312,352,[2_1|2]), (312,357,[2_1|2]), (312,522,[2_1|2]), (312,537,[2_1|2]), (312,182,[2_1|2]), (312,188,[2_1|2]), (312,253,[3_1|2]), (312,256,[3_1|2]), (312,297,[0_1|2]), (313,314,[5_1|2]), (313,462,[3_1|2]), (314,315,[5_1|2]), (315,137,[3_1|2]), (315,140,[3_1|2]), (315,153,[3_1|2]), (315,158,[3_1|2]), (315,176,[3_1|2]), (315,181,[3_1|2]), (315,187,[3_1|2]), (315,199,[3_1|2]), (315,219,[3_1|2]), (315,297,[3_1|2]), (315,408,[3_1|2]), (315,438,[3_1|2]), (315,358,[3_1|2]), (315,523,[3_1|2]), (315,538,[3_1|2]), (315,454,[3_1|2]), (316,317,[4_1|2]), (317,318,[0_1|2]), (318,319,[5_1|2]), (319,320,[2_1|2]), (320,321,[3_1|2]), (321,322,[0_1|2]), (322,323,[0_1|2]), (323,324,[5_1|2]), (324,137,[4_1|2]), (324,502,[4_1|2]), (324,568,[4_1|2]), (324,587,[4_1|2]), (324,552,[4_1|2]), (324,313,[4_1|2]), (324,316,[2_1|2]), (324,325,[4_1|2]), (324,336,[4_1|2]), (324,352,[2_1|2]), (324,357,[2_1|2]), (324,373,[3_1|2]), (325,326,[5_1|2]), (326,327,[2_1|2]), (327,328,[3_1|2]), (328,329,[2_1|2]), (329,330,[5_1|2]), (330,331,[3_1|2]), (331,332,[2_1|2]), (332,333,[1_1|2]), (333,334,[0_1|2]), (334,335,[2_1|2]), (334,282,[2_1|2]), (335,137,[1_1|2]), (335,214,[1_1|2]), (335,422,[1_1|2]), (335,473,[1_1|2]), (335,490,[1_1|2]), (335,551,[1_1|2]), (335,160,[1_1|2]), (335,393,[4_1|2]), (335,398,[4_1|2]), (335,408,[0_1|2]), (335,438,[0_1|2]), (336,337,[5_1|2]), (337,338,[0_1|2]), (338,339,[1_1|2]), (339,340,[3_1|2]), (340,341,[5_1|2]), (341,342,[0_1|2]), (342,343,[0_1|2]), (343,344,[0_1|2]), (344,345,[3_1|2]), (345,346,[2_1|2]), (346,347,[3_1|2]), (347,348,[5_1|2]), (348,349,[4_1|2]), (349,350,[2_1|2]), (349,253,[3_1|2]), (350,351,[3_1|2]), (351,137,[3_1|2]), (351,138,[3_1|2]), (351,253,[3_1|2]), (351,256,[3_1|2]), (351,373,[3_1|2]), (351,454,[3_1|2]), (351,462,[3_1|2]), (352,353,[5_1|2]), (353,354,[1_1|2]), (354,355,[1_1|2]), (355,356,[1_1|2]), (355,422,[1_1|2]), (355,438,[0_1|2]), (356,137,[4_1|2]), (356,502,[4_1|2]), (356,568,[4_1|2]), (356,587,[4_1|2]), (356,409,[4_1|2]), (356,313,[4_1|2]), (356,316,[2_1|2]), (356,325,[4_1|2]), (356,336,[4_1|2]), (356,352,[2_1|2]), (356,357,[2_1|2]), (356,373,[3_1|2]), (357,358,[0_1|2]), (358,359,[0_1|2]), (359,360,[0_1|2]), (360,361,[5_1|2]), (361,362,[0_1|2]), (362,363,[3_1|2]), (363,364,[2_1|2]), (364,365,[4_1|2]), (365,366,[4_1|2]), (366,367,[4_1|2]), (367,368,[2_1|2]), (368,369,[1_1|2]), (369,370,[4_1|2]), (370,371,[4_1|2]), (371,372,[4_1|2]), (371,357,[2_1|2]), (371,373,[3_1|2]), (372,137,[1_1|2]), (372,214,[1_1|2]), (372,422,[1_1|2]), (372,473,[1_1|2]), (372,490,[1_1|2]), (372,551,[1_1|2]), (372,393,[4_1|2]), (372,398,[4_1|2]), (372,408,[0_1|2]), (372,438,[0_1|2]), (373,374,[0_1|2]), (374,375,[1_1|2]), (375,376,[0_1|2]), (376,377,[0_1|2]), (377,378,[4_1|2]), (378,379,[1_1|2]), (379,380,[2_1|2]), (380,381,[0_1|2]), (381,382,[5_1|2]), (382,383,[5_1|2]), (383,384,[3_1|2]), (384,385,[4_1|2]), (385,386,[4_1|2]), (386,387,[5_1|2]), (387,388,[3_1|2]), (388,389,[5_1|2]), (389,390,[2_1|2]), (390,391,[5_1|2]), (391,392,[0_1|2]), (391,214,[1_1|2]), (391,219,[0_1|2]), (392,137,[3_1|2]), (392,138,[3_1|2]), (392,253,[3_1|2]), (392,256,[3_1|2]), (392,373,[3_1|2]), (392,454,[3_1|2]), (392,462,[3_1|2]), (392,257,[3_1|2]), (393,394,[2_1|2]), (394,395,[2_1|2]), (395,396,[5_1|2]), (396,397,[1_1|2]), (397,137,[0_1|2]), (397,502,[0_1|2]), (397,568,[0_1|2]), (397,587,[0_1|2]), (397,314,[0_1|2]), (397,326,[0_1|2]), (397,337,[0_1|2]), (397,504,[0_1|2]), (397,138,[3_1|2]), (397,140,[0_1|2]), (397,151,[2_1|2]), (397,153,[0_1|2]), (397,158,[0_1|2]), (397,176,[0_1|2]), (397,181,[0_1|2]), (397,187,[0_1|2]), (397,199,[0_1|2]), (397,214,[1_1|2]), (397,219,[0_1|2]), (397,239,[2_1|2]), (398,399,[2_1|2]), (399,400,[3_1|2]), (400,401,[3_1|2]), (401,402,[3_1|2]), (402,403,[5_1|2]), (403,404,[3_1|2]), (404,405,[1_1|2]), (405,406,[0_1|2]), (405,140,[0_1|2]), (405,628,[3_1|3]), (406,407,[1_1|2]), (406,393,[4_1|2]), (407,137,[5_1|2]), (407,140,[5_1|2]), (407,153,[5_1|2]), (407,158,[5_1|2]), (407,176,[5_1|2]), (407,181,[5_1|2]), (407,187,[5_1|2]), (407,199,[5_1|2]), (407,219,[5_1|2]), (407,297,[5_1|2]), (407,408,[5_1|2]), (407,438,[5_1|2]), (407,374,[5_1|2]), (407,462,[3_1|2]), (407,473,[1_1|2]), (407,490,[1_1|2]), (407,502,[5_1|2]), (407,522,[2_1|2]), (407,537,[2_1|2]), (407,551,[1_1|2]), (407,568,[5_1|2]), (407,587,[5_1|2]), (407,606,[4_1|2]), (408,409,[5_1|2]), (409,410,[2_1|2]), (410,411,[4_1|2]), (411,412,[3_1|2]), (412,413,[1_1|2]), (413,414,[3_1|2]), (414,415,[2_1|2]), (415,416,[5_1|2]), (416,417,[2_1|2]), (417,418,[5_1|2]), (418,419,[5_1|2]), (419,420,[2_1|2]), (420,421,[2_1|2]), (421,137,[4_1|2]), (421,313,[4_1|2]), (421,325,[4_1|2]), (421,336,[4_1|2]), (421,393,[4_1|2]), (421,398,[4_1|2]), (421,606,[4_1|2]), (421,139,[4_1|2]), (421,316,[2_1|2]), (421,352,[2_1|2]), (421,357,[2_1|2]), (421,373,[3_1|2]), (422,423,[2_1|2]), (423,424,[1_1|2]), (424,425,[0_1|2]), (425,426,[5_1|2]), (426,427,[3_1|2]), (427,428,[3_1|2]), (428,429,[0_1|2]), (429,430,[1_1|2]), (430,431,[5_1|2]), (431,432,[1_1|2]), (432,433,[0_1|2]), (433,434,[4_1|2]), (434,435,[5_1|2]), (435,436,[0_1|2]), (436,437,[3_1|2]), (437,137,[1_1|2]), (437,214,[1_1|2]), (437,422,[1_1|2]), (437,473,[1_1|2]), (437,490,[1_1|2]), (437,551,[1_1|2]), (437,393,[4_1|2]), (437,398,[4_1|2]), (437,408,[0_1|2]), (437,438,[0_1|2]), (438,439,[3_1|2]), (439,440,[3_1|2]), (440,441,[2_1|2]), (441,442,[1_1|2]), (442,443,[5_1|2]), (443,444,[5_1|2]), (444,445,[0_1|2]), (445,446,[5_1|2]), (446,447,[2_1|2]), (447,448,[0_1|2]), (448,449,[2_1|2]), (449,450,[2_1|2]), (450,451,[3_1|2]), (451,452,[0_1|2]), (452,453,[0_1|2]), (452,214,[1_1|2]), (452,219,[0_1|2]), (453,137,[3_1|2]), (453,138,[3_1|2]), (453,253,[3_1|2]), (453,256,[3_1|2]), (453,373,[3_1|2]), (453,454,[3_1|2]), (453,462,[3_1|2]), (453,220,[3_1|2]), (453,439,[3_1|2]), (454,455,[1_1|2]), (455,456,[3_1|2]), (456,457,[5_1|2]), (457,458,[5_1|2]), (458,459,[5_1|2]), (459,460,[0_1|2]), (459,199,[0_1|2]), (460,461,[2_1|2]), (461,137,[5_1|2]), (461,214,[5_1|2]), (461,422,[5_1|2]), (461,473,[5_1|2, 1_1|2]), (461,490,[5_1|2, 1_1|2]), (461,551,[5_1|2, 1_1|2]), (461,462,[3_1|2]), (461,502,[5_1|2]), (461,522,[2_1|2]), (461,537,[2_1|2]), (461,568,[5_1|2]), (461,587,[5_1|2]), (461,606,[4_1|2]), (462,463,[2_1|2]), (463,464,[3_1|2]), (464,465,[1_1|2]), (465,466,[5_1|2]), (466,467,[0_1|2]), (467,468,[4_1|2]), (468,469,[4_1|2]), (469,470,[2_1|2]), (470,471,[3_1|2]), (471,472,[5_1|2]), (471,462,[3_1|2]), (471,473,[1_1|2]), (472,137,[5_1|2]), (472,502,[5_1|2]), (472,568,[5_1|2]), (472,587,[5_1|2]), (472,552,[5_1|2]), (472,462,[3_1|2]), (472,473,[1_1|2]), (472,490,[1_1|2]), (472,522,[2_1|2]), (472,537,[2_1|2]), (472,551,[1_1|2]), (472,606,[4_1|2]), (473,474,[3_1|2]), (474,475,[4_1|2]), (475,476,[4_1|2]), (476,477,[4_1|2]), (477,478,[4_1|2]), (478,479,[5_1|2]), (479,480,[1_1|2]), (480,481,[0_1|2]), (481,482,[3_1|2]), (482,483,[2_1|2]), (483,484,[5_1|2]), (484,485,[0_1|2]), (484,622,[3_1|3]), (485,486,[1_1|2]), (486,487,[2_1|2]), (487,488,[0_1|2]), (488,489,[3_1|2]), (489,137,[1_1|2]), (489,502,[1_1|2]), (489,568,[1_1|2]), (489,587,[1_1|2]), (489,409,[1_1|2]), (489,142,[1_1|2]), (489,393,[4_1|2]), (489,398,[4_1|2]), (489,408,[0_1|2]), (489,422,[1_1|2]), (489,438,[0_1|2]), (490,491,[2_1|2]), (491,492,[3_1|2]), (492,493,[4_1|2]), (493,494,[4_1|2]), (494,495,[3_1|2]), (495,496,[3_1|2]), (496,497,[5_1|2]), (497,498,[0_1|2]), (498,499,[1_1|2]), (499,500,[1_1|2]), (500,501,[5_1|2]), (500,606,[4_1|2]), (501,137,[2_1|2]), (501,151,[2_1|2]), (501,239,[2_1|2]), (501,271,[2_1|2]), (501,282,[2_1|2]), (501,316,[2_1|2]), (501,352,[2_1|2]), (501,357,[2_1|2]), (501,522,[2_1|2]), (501,537,[2_1|2]), (501,253,[3_1|2]), (501,256,[3_1|2]), (501,297,[0_1|2]), (501,626,[2_1|2]), (502,503,[4_1|2]), (503,504,[5_1|2]), (504,505,[3_1|2]), (505,506,[1_1|2]), (506,507,[4_1|2]), (507,508,[1_1|2]), (508,509,[3_1|2]), (509,510,[0_1|2]), (510,511,[2_1|2]), (511,512,[3_1|2]), (512,513,[4_1|2]), (513,514,[2_1|2]), (514,515,[4_1|2]), (515,516,[5_1|2]), (516,517,[2_1|2]), (517,518,[4_1|2]), (518,519,[3_1|2]), (519,520,[0_1|2]), (519,239,[2_1|2]), (520,521,[4_1|2]), (520,352,[2_1|2]), (521,137,[4_1|2]), (521,140,[4_1|2]), (521,153,[4_1|2]), (521,158,[4_1|2]), (521,176,[4_1|2]), (521,181,[4_1|2]), (521,187,[4_1|2]), (521,199,[4_1|2]), (521,219,[4_1|2]), (521,297,[4_1|2]), (521,408,[4_1|2]), (521,438,[4_1|2]), (521,313,[4_1|2]), (521,316,[2_1|2]), (521,325,[4_1|2]), (521,336,[4_1|2]), (521,352,[2_1|2]), (521,357,[2_1|2]), (521,373,[3_1|2]), (522,523,[0_1|2]), (523,524,[4_1|2]), (524,525,[3_1|2]), (525,526,[2_1|2]), (526,527,[1_1|2]), (527,528,[0_1|2]), (528,529,[4_1|2]), (529,530,[4_1|2]), (530,531,[2_1|2]), (531,532,[4_1|2]), (532,533,[3_1|2]), (533,534,[3_1|2]), (534,535,[5_1|2]), (534,522,[2_1|2]), (534,537,[2_1|2]), (534,551,[1_1|2]), (535,536,[0_1|2]), (535,151,[2_1|2]), (535,153,[0_1|2]), (535,158,[0_1|2]), (535,624,[2_1|3]), (536,137,[5_1|2]), (536,140,[5_1|2]), (536,153,[5_1|2]), (536,158,[5_1|2]), (536,176,[5_1|2]), (536,181,[5_1|2]), (536,187,[5_1|2]), (536,199,[5_1|2]), (536,219,[5_1|2]), (536,297,[5_1|2]), (536,408,[5_1|2]), (536,438,[5_1|2]), (536,241,[5_1|2]), (536,284,[5_1|2]), (536,462,[3_1|2]), (536,473,[1_1|2]), (536,490,[1_1|2]), (536,502,[5_1|2]), (536,522,[2_1|2]), (536,537,[2_1|2]), (536,551,[1_1|2]), (536,568,[5_1|2]), (536,587,[5_1|2]), (536,606,[4_1|2]), (537,538,[0_1|2]), (537,626,[2_1|3]), (538,539,[5_1|2]), (539,540,[1_1|2]), (540,541,[5_1|2]), (541,542,[4_1|2]), (542,543,[1_1|2]), (543,544,[2_1|2]), (544,545,[3_1|2]), (545,546,[4_1|2]), (546,547,[3_1|2]), (547,548,[5_1|2]), (548,549,[2_1|2]), (549,550,[4_1|2]), (549,313,[4_1|2]), (549,316,[2_1|2]), (549,325,[4_1|2]), (549,336,[4_1|2]), (550,137,[5_1|2]), (550,502,[5_1|2]), (550,568,[5_1|2]), (550,587,[5_1|2]), (550,314,[5_1|2]), (550,326,[5_1|2]), (550,337,[5_1|2]), (550,462,[3_1|2]), (550,473,[1_1|2]), (550,490,[1_1|2]), (550,522,[2_1|2]), (550,537,[2_1|2]), (550,551,[1_1|2]), (550,606,[4_1|2]), (551,552,[5_1|2]), (552,553,[3_1|2]), (553,554,[4_1|2]), (554,555,[5_1|2]), (555,556,[2_1|2]), (556,557,[5_1|2]), (557,558,[4_1|2]), (558,559,[2_1|2]), (559,560,[1_1|2]), (560,561,[4_1|2]), (561,562,[0_1|2]), (562,563,[3_1|2]), (563,564,[5_1|2]), (564,565,[0_1|2]), (565,566,[2_1|2]), (566,567,[3_1|2]), (567,137,[1_1|2]), (567,140,[1_1|2]), (567,153,[1_1|2]), (567,158,[1_1|2]), (567,176,[1_1|2]), (567,181,[1_1|2]), (567,187,[1_1|2]), (567,199,[1_1|2]), (567,219,[1_1|2]), (567,297,[1_1|2]), (567,408,[1_1|2, 0_1|2]), (567,438,[1_1|2, 0_1|2]), (567,374,[1_1|2]), (567,393,[4_1|2]), (567,398,[4_1|2]), (567,422,[1_1|2]), (568,569,[0_1|2]), (569,570,[4_1|2]), (570,571,[0_1|2]), (571,572,[5_1|2]), (572,573,[4_1|2]), (573,574,[5_1|2]), (574,575,[3_1|2]), (575,576,[2_1|2]), (576,577,[4_1|2]), (577,578,[1_1|2]), (578,579,[5_1|2]), (579,580,[5_1|2]), (580,581,[1_1|2]), (581,582,[3_1|2]), (582,583,[3_1|2]), (583,584,[2_1|2]), (584,585,[3_1|2]), (585,586,[1_1|2]), (586,137,[1_1|2]), (586,502,[1_1|2]), (586,568,[1_1|2]), (586,587,[1_1|2]), (586,314,[1_1|2]), (586,326,[1_1|2]), (586,337,[1_1|2]), (586,393,[4_1|2]), (586,398,[4_1|2]), (586,408,[0_1|2]), (586,422,[1_1|2]), (586,438,[0_1|2]), (587,588,[4_1|2]), (588,589,[0_1|2]), (589,590,[5_1|2]), (590,591,[5_1|2]), (591,592,[5_1|2]), (592,593,[3_1|2]), (593,594,[1_1|2]), (594,595,[5_1|2]), (595,596,[1_1|2]), (596,597,[0_1|2]), (597,598,[5_1|2]), (598,599,[5_1|2]), (599,600,[1_1|2]), (600,601,[4_1|2]), (601,602,[4_1|2]), (602,603,[3_1|2]), (603,604,[2_1|2]), (604,605,[4_1|2]), (605,137,[3_1|2]), (605,138,[3_1|2]), (605,253,[3_1|2]), (605,256,[3_1|2]), (605,373,[3_1|2]), (605,454,[3_1|2]), (605,462,[3_1|2]), (605,215,[3_1|2]), (605,474,[3_1|2]), (606,607,[3_1|2]), (607,608,[5_1|2]), (608,609,[5_1|2]), (609,610,[2_1|2]), (610,611,[2_1|2]), (611,612,[0_1|2]), (612,613,[1_1|2]), (613,614,[1_1|2]), (614,615,[1_1|2]), (615,616,[2_1|2]), (616,617,[5_1|2]), (617,618,[3_1|2]), (618,619,[1_1|2]), (618,393,[4_1|2]), (619,137,[5_1|2]), (619,502,[5_1|2]), (619,568,[5_1|2]), (619,587,[5_1|2]), (619,314,[5_1|2]), (619,326,[5_1|2]), (619,337,[5_1|2]), (619,462,[3_1|2]), (619,473,[1_1|2]), (619,490,[1_1|2]), (619,522,[2_1|2]), (619,537,[2_1|2]), (619,551,[1_1|2]), (619,606,[4_1|2]), (620,621,[4_1|3]), (621,234,[0_1|3]), (622,623,[4_1|3]), (623,488,[0_1|3]), (624,625,[3_1|3]), (625,552,[1_1|3]), (626,627,[3_1|3]), (627,541,[1_1|3]), (628,629,[4_1|3]), (629,523,[0_1|3]), (629,538,[0_1|3]), (629,626,[2_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)