/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 76 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 66 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(1(2(x1)))) -> 3(4(4(2(x1)))) 2(1(0(2(5(5(x1)))))) -> 4(0(5(2(5(x1))))) 4(2(0(3(1(2(x1)))))) -> 5(5(0(5(2(5(x1)))))) 0(1(5(0(4(4(5(x1))))))) -> 3(0(0(4(5(0(x1)))))) 0(4(1(2(2(4(5(x1))))))) -> 0(0(1(5(4(5(x1)))))) 3(5(4(0(0(4(0(x1))))))) -> 0(0(0(5(4(0(x1)))))) 2(3(4(3(1(0(2(4(x1)))))))) -> 0(4(5(3(1(4(x1)))))) 2(5(2(4(4(3(1(0(0(x1))))))))) -> 4(2(5(5(4(5(5(0(x1)))))))) 5(4(1(5(5(5(3(3(0(x1))))))))) -> 5(3(5(0(4(3(5(4(0(x1))))))))) 4(0(5(1(2(1(3(3(0(5(3(x1))))))))))) -> 1(2(1(4(4(3(2(5(0(2(3(x1))))))))))) 4(5(2(5(0(0(2(2(0(4(1(x1))))))))))) -> 4(4(4(3(3(1(3(5(5(1(1(x1))))))))))) 1(2(3(1(4(1(3(2(0(5(1(4(x1)))))))))))) -> 1(0(4(4(5(1(2(4(3(3(0(1(x1)))))))))))) 1(1(5(1(4(3(4(1(1(5(1(2(5(x1))))))))))))) -> 5(0(0(3(3(0(5(5(5(4(2(3(x1)))))))))))) 1(4(0(0(1(3(4(3(3(0(3(0(4(5(x1)))))))))))))) -> 5(5(3(3(5(0(4(5(4(1(5(0(0(x1))))))))))))) 2(1(0(3(2(0(2(0(3(3(2(3(4(0(5(x1))))))))))))))) -> 2(2(3(3(5(5(5(3(1(4(0(5(0(2(2(x1))))))))))))))) 0(5(5(4(0(5(3(1(5(4(4(2(2(5(3(4(x1)))))))))))))))) -> 0(4(2(1(2(0(2(2(4(3(3(2(2(4(4(3(3(4(x1)))))))))))))))))) 2(4(4(5(0(1(5(0(3(5(1(1(5(2(0(4(4(x1))))))))))))))))) -> 2(5(2(4(3(5(4(2(4(3(4(1(3(4(5(5(4(1(2(4(x1)))))))))))))))))))) 1(2(2(2(5(0(0(3(3(5(2(4(5(1(1(0(4(3(x1)))))))))))))))))) -> 1(1(3(0(0(0(3(1(5(1(0(2(3(0(0(x1))))))))))))))) 0(2(1(4(1(2(5(0(0(1(3(1(5(5(5(5(1(3(4(x1))))))))))))))))))) -> 3(5(5(1(3(2(2(2(5(2(5(5(5(2(0(4(1(1(4(4(x1)))))))))))))))))))) 1(3(1(0(2(2(4(4(1(3(4(2(0(5(2(1(3(5(4(x1))))))))))))))))))) -> 1(4(2(0(2(0(5(5(2(2(0(5(4(3(4(4(4(x1))))))))))))))))) 1(3(2(0(0(1(1(5(5(3(1(3(0(2(3(4(5(5(5(x1))))))))))))))))))) -> 3(0(0(5(2(5(2(2(1(4(2(2(0(0(2(5(5(3(0(2(x1)))))))))))))))))))) 2(2(2(5(1(3(5(5(0(4(0(4(5(1(1(2(0(2(5(x1))))))))))))))))))) -> 3(2(4(4(2(3(3(1(1(2(0(3(3(1(1(4(5(x1))))))))))))))))) 2(5(3(4(5(1(1(5(5(1(2(1(3(3(3(5(4(5(1(x1))))))))))))))))))) -> 5(4(5(4(5(1(1(0(4(2(5(4(1(2(0(1(3(1(x1)))))))))))))))))) 3(2(1(3(3(5(5(5(4(2(4(4(5(1(5(1(3(0(4(x1))))))))))))))))))) -> 0(4(4(3(0(1(1(3(0(4(2(2(3(3(0(4(0(1(x1)))))))))))))))))) 2(5(5(2(2(0(1(2(0(3(3(5(1(3(2(2(0(2(3(4(3(x1))))))))))))))))))))) -> 4(4(0(4(1(1(4(5(2(5(1(0(1(4(4(1(1(3(3(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_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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(1(2(x1)))) -> 3(4(4(2(x1)))) 2(1(0(2(5(5(x1)))))) -> 4(0(5(2(5(x1))))) 4(2(0(3(1(2(x1)))))) -> 5(5(0(5(2(5(x1)))))) 0(1(5(0(4(4(5(x1))))))) -> 3(0(0(4(5(0(x1)))))) 0(4(1(2(2(4(5(x1))))))) -> 0(0(1(5(4(5(x1)))))) 3(5(4(0(0(4(0(x1))))))) -> 0(0(0(5(4(0(x1)))))) 2(3(4(3(1(0(2(4(x1)))))))) -> 0(4(5(3(1(4(x1)))))) 2(5(2(4(4(3(1(0(0(x1))))))))) -> 4(2(5(5(4(5(5(0(x1)))))))) 5(4(1(5(5(5(3(3(0(x1))))))))) -> 5(3(5(0(4(3(5(4(0(x1))))))))) 4(0(5(1(2(1(3(3(0(5(3(x1))))))))))) -> 1(2(1(4(4(3(2(5(0(2(3(x1))))))))))) 4(5(2(5(0(0(2(2(0(4(1(x1))))))))))) -> 4(4(4(3(3(1(3(5(5(1(1(x1))))))))))) 1(2(3(1(4(1(3(2(0(5(1(4(x1)))))))))))) -> 1(0(4(4(5(1(2(4(3(3(0(1(x1)))))))))))) 1(1(5(1(4(3(4(1(1(5(1(2(5(x1))))))))))))) -> 5(0(0(3(3(0(5(5(5(4(2(3(x1)))))))))))) 1(4(0(0(1(3(4(3(3(0(3(0(4(5(x1)))))))))))))) -> 5(5(3(3(5(0(4(5(4(1(5(0(0(x1))))))))))))) 2(1(0(3(2(0(2(0(3(3(2(3(4(0(5(x1))))))))))))))) -> 2(2(3(3(5(5(5(3(1(4(0(5(0(2(2(x1))))))))))))))) 0(5(5(4(0(5(3(1(5(4(4(2(2(5(3(4(x1)))))))))))))))) -> 0(4(2(1(2(0(2(2(4(3(3(2(2(4(4(3(3(4(x1)))))))))))))))))) 2(4(4(5(0(1(5(0(3(5(1(1(5(2(0(4(4(x1))))))))))))))))) -> 2(5(2(4(3(5(4(2(4(3(4(1(3(4(5(5(4(1(2(4(x1)))))))))))))))))))) 1(2(2(2(5(0(0(3(3(5(2(4(5(1(1(0(4(3(x1)))))))))))))))))) -> 1(1(3(0(0(0(3(1(5(1(0(2(3(0(0(x1))))))))))))))) 0(2(1(4(1(2(5(0(0(1(3(1(5(5(5(5(1(3(4(x1))))))))))))))))))) -> 3(5(5(1(3(2(2(2(5(2(5(5(5(2(0(4(1(1(4(4(x1)))))))))))))))))))) 1(3(1(0(2(2(4(4(1(3(4(2(0(5(2(1(3(5(4(x1))))))))))))))))))) -> 1(4(2(0(2(0(5(5(2(2(0(5(4(3(4(4(4(x1))))))))))))))))) 1(3(2(0(0(1(1(5(5(3(1(3(0(2(3(4(5(5(5(x1))))))))))))))))))) -> 3(0(0(5(2(5(2(2(1(4(2(2(0(0(2(5(5(3(0(2(x1)))))))))))))))))))) 2(2(2(5(1(3(5(5(0(4(0(4(5(1(1(2(0(2(5(x1))))))))))))))))))) -> 3(2(4(4(2(3(3(1(1(2(0(3(3(1(1(4(5(x1))))))))))))))))) 2(5(3(4(5(1(1(5(5(1(2(1(3(3(3(5(4(5(1(x1))))))))))))))))))) -> 5(4(5(4(5(1(1(0(4(2(5(4(1(2(0(1(3(1(x1)))))))))))))))))) 3(2(1(3(3(5(5(5(4(2(4(4(5(1(5(1(3(0(4(x1))))))))))))))))))) -> 0(4(4(3(0(1(1(3(0(4(2(2(3(3(0(4(0(1(x1)))))))))))))))))) 2(5(5(2(2(0(1(2(0(3(3(5(1(3(2(2(0(2(3(4(3(x1))))))))))))))))))))) -> 4(4(0(4(1(1(4(5(2(5(1(0(1(4(4(1(1(3(3(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_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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(1(2(x1)))) -> 3(4(4(2(x1)))) 2(1(0(2(5(5(x1)))))) -> 4(0(5(2(5(x1))))) 4(2(0(3(1(2(x1)))))) -> 5(5(0(5(2(5(x1)))))) 0(1(5(0(4(4(5(x1))))))) -> 3(0(0(4(5(0(x1)))))) 0(4(1(2(2(4(5(x1))))))) -> 0(0(1(5(4(5(x1)))))) 3(5(4(0(0(4(0(x1))))))) -> 0(0(0(5(4(0(x1)))))) 2(3(4(3(1(0(2(4(x1)))))))) -> 0(4(5(3(1(4(x1)))))) 2(5(2(4(4(3(1(0(0(x1))))))))) -> 4(2(5(5(4(5(5(0(x1)))))))) 5(4(1(5(5(5(3(3(0(x1))))))))) -> 5(3(5(0(4(3(5(4(0(x1))))))))) 4(0(5(1(2(1(3(3(0(5(3(x1))))))))))) -> 1(2(1(4(4(3(2(5(0(2(3(x1))))))))))) 4(5(2(5(0(0(2(2(0(4(1(x1))))))))))) -> 4(4(4(3(3(1(3(5(5(1(1(x1))))))))))) 1(2(3(1(4(1(3(2(0(5(1(4(x1)))))))))))) -> 1(0(4(4(5(1(2(4(3(3(0(1(x1)))))))))))) 1(1(5(1(4(3(4(1(1(5(1(2(5(x1))))))))))))) -> 5(0(0(3(3(0(5(5(5(4(2(3(x1)))))))))))) 1(4(0(0(1(3(4(3(3(0(3(0(4(5(x1)))))))))))))) -> 5(5(3(3(5(0(4(5(4(1(5(0(0(x1))))))))))))) 2(1(0(3(2(0(2(0(3(3(2(3(4(0(5(x1))))))))))))))) -> 2(2(3(3(5(5(5(3(1(4(0(5(0(2(2(x1))))))))))))))) 0(5(5(4(0(5(3(1(5(4(4(2(2(5(3(4(x1)))))))))))))))) -> 0(4(2(1(2(0(2(2(4(3(3(2(2(4(4(3(3(4(x1)))))))))))))))))) 2(4(4(5(0(1(5(0(3(5(1(1(5(2(0(4(4(x1))))))))))))))))) -> 2(5(2(4(3(5(4(2(4(3(4(1(3(4(5(5(4(1(2(4(x1)))))))))))))))))))) 1(2(2(2(5(0(0(3(3(5(2(4(5(1(1(0(4(3(x1)))))))))))))))))) -> 1(1(3(0(0(0(3(1(5(1(0(2(3(0(0(x1))))))))))))))) 0(2(1(4(1(2(5(0(0(1(3(1(5(5(5(5(1(3(4(x1))))))))))))))))))) -> 3(5(5(1(3(2(2(2(5(2(5(5(5(2(0(4(1(1(4(4(x1)))))))))))))))))))) 1(3(1(0(2(2(4(4(1(3(4(2(0(5(2(1(3(5(4(x1))))))))))))))))))) -> 1(4(2(0(2(0(5(5(2(2(0(5(4(3(4(4(4(x1))))))))))))))))) 1(3(2(0(0(1(1(5(5(3(1(3(0(2(3(4(5(5(5(x1))))))))))))))))))) -> 3(0(0(5(2(5(2(2(1(4(2(2(0(0(2(5(5(3(0(2(x1)))))))))))))))))))) 2(2(2(5(1(3(5(5(0(4(0(4(5(1(1(2(0(2(5(x1))))))))))))))))))) -> 3(2(4(4(2(3(3(1(1(2(0(3(3(1(1(4(5(x1))))))))))))))))) 2(5(3(4(5(1(1(5(5(1(2(1(3(3(3(5(4(5(1(x1))))))))))))))))))) -> 5(4(5(4(5(1(1(0(4(2(5(4(1(2(0(1(3(1(x1)))))))))))))))))) 3(2(1(3(3(5(5(5(4(2(4(4(5(1(5(1(3(0(4(x1))))))))))))))))))) -> 0(4(4(3(0(1(1(3(0(4(2(2(3(3(0(4(0(1(x1)))))))))))))))))) 2(5(5(2(2(0(1(2(0(3(3(5(1(3(2(2(0(2(3(4(3(x1))))))))))))))))))))) -> 4(4(0(4(1(1(4(5(2(5(1(0(1(4(4(1(1(3(3(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_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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(1(2(x1)))) -> 3(4(4(2(x1)))) 2(1(0(2(5(5(x1)))))) -> 4(0(5(2(5(x1))))) 4(2(0(3(1(2(x1)))))) -> 5(5(0(5(2(5(x1)))))) 0(1(5(0(4(4(5(x1))))))) -> 3(0(0(4(5(0(x1)))))) 0(4(1(2(2(4(5(x1))))))) -> 0(0(1(5(4(5(x1)))))) 3(5(4(0(0(4(0(x1))))))) -> 0(0(0(5(4(0(x1)))))) 2(3(4(3(1(0(2(4(x1)))))))) -> 0(4(5(3(1(4(x1)))))) 2(5(2(4(4(3(1(0(0(x1))))))))) -> 4(2(5(5(4(5(5(0(x1)))))))) 5(4(1(5(5(5(3(3(0(x1))))))))) -> 5(3(5(0(4(3(5(4(0(x1))))))))) 4(0(5(1(2(1(3(3(0(5(3(x1))))))))))) -> 1(2(1(4(4(3(2(5(0(2(3(x1))))))))))) 4(5(2(5(0(0(2(2(0(4(1(x1))))))))))) -> 4(4(4(3(3(1(3(5(5(1(1(x1))))))))))) 1(2(3(1(4(1(3(2(0(5(1(4(x1)))))))))))) -> 1(0(4(4(5(1(2(4(3(3(0(1(x1)))))))))))) 1(1(5(1(4(3(4(1(1(5(1(2(5(x1))))))))))))) -> 5(0(0(3(3(0(5(5(5(4(2(3(x1)))))))))))) 1(4(0(0(1(3(4(3(3(0(3(0(4(5(x1)))))))))))))) -> 5(5(3(3(5(0(4(5(4(1(5(0(0(x1))))))))))))) 2(1(0(3(2(0(2(0(3(3(2(3(4(0(5(x1))))))))))))))) -> 2(2(3(3(5(5(5(3(1(4(0(5(0(2(2(x1))))))))))))))) 0(5(5(4(0(5(3(1(5(4(4(2(2(5(3(4(x1)))))))))))))))) -> 0(4(2(1(2(0(2(2(4(3(3(2(2(4(4(3(3(4(x1)))))))))))))))))) 2(4(4(5(0(1(5(0(3(5(1(1(5(2(0(4(4(x1))))))))))))))))) -> 2(5(2(4(3(5(4(2(4(3(4(1(3(4(5(5(4(1(2(4(x1)))))))))))))))))))) 1(2(2(2(5(0(0(3(3(5(2(4(5(1(1(0(4(3(x1)))))))))))))))))) -> 1(1(3(0(0(0(3(1(5(1(0(2(3(0(0(x1))))))))))))))) 0(2(1(4(1(2(5(0(0(1(3(1(5(5(5(5(1(3(4(x1))))))))))))))))))) -> 3(5(5(1(3(2(2(2(5(2(5(5(5(2(0(4(1(1(4(4(x1)))))))))))))))))))) 1(3(1(0(2(2(4(4(1(3(4(2(0(5(2(1(3(5(4(x1))))))))))))))))))) -> 1(4(2(0(2(0(5(5(2(2(0(5(4(3(4(4(4(x1))))))))))))))))) 1(3(2(0(0(1(1(5(5(3(1(3(0(2(3(4(5(5(5(x1))))))))))))))))))) -> 3(0(0(5(2(5(2(2(1(4(2(2(0(0(2(5(5(3(0(2(x1)))))))))))))))))))) 2(2(2(5(1(3(5(5(0(4(0(4(5(1(1(2(0(2(5(x1))))))))))))))))))) -> 3(2(4(4(2(3(3(1(1(2(0(3(3(1(1(4(5(x1))))))))))))))))) 2(5(3(4(5(1(1(5(5(1(2(1(3(3(3(5(4(5(1(x1))))))))))))))))))) -> 5(4(5(4(5(1(1(0(4(2(5(4(1(2(0(1(3(1(x1)))))))))))))))))) 3(2(1(3(3(5(5(5(4(2(4(4(5(1(5(1(3(0(4(x1))))))))))))))))))) -> 0(4(4(3(0(1(1(3(0(4(2(2(3(3(0(4(0(1(x1)))))))))))))))))) 2(5(5(2(2(0(1(2(0(3(3(5(1(3(2(2(0(2(3(4(3(x1))))))))))))))))))))) -> 4(4(0(4(1(1(4(5(2(5(1(0(1(4(4(1(1(3(3(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_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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. "[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] {(148,149,[0_1|0, 2_1|0, 4_1|0, 3_1|0, 5_1|0, 1_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]), (148,150,[0_1|1, 2_1|1, 4_1|1, 3_1|1, 5_1|1, 1_1|1]), (148,151,[3_1|2]), (148,154,[3_1|2]), (148,159,[0_1|2]), (148,164,[0_1|2]), (148,181,[3_1|2]), (148,200,[4_1|2]), (148,204,[2_1|2]), (148,218,[0_1|2]), (148,223,[4_1|2]), (148,230,[5_1|2]), (148,247,[4_1|2]), (148,265,[2_1|2]), (148,284,[3_1|2]), (148,300,[5_1|2]), (148,305,[1_1|2]), (148,315,[4_1|2]), (148,325,[0_1|2]), (148,330,[0_1|2]), (148,347,[5_1|2]), (148,355,[1_1|2]), (148,366,[1_1|2]), (148,380,[5_1|2]), (148,391,[5_1|2]), (148,403,[1_1|2]), (148,419,[3_1|2]), (149,149,[cons_0_1|0, cons_2_1|0, cons_4_1|0, cons_3_1|0, cons_5_1|0, cons_1_1|0]), (150,149,[encArg_1|1]), (150,150,[0_1|1, 2_1|1, 4_1|1, 3_1|1, 5_1|1, 1_1|1]), (150,151,[3_1|2]), (150,154,[3_1|2]), (150,159,[0_1|2]), (150,164,[0_1|2]), (150,181,[3_1|2]), (150,200,[4_1|2]), (150,204,[2_1|2]), (150,218,[0_1|2]), (150,223,[4_1|2]), (150,230,[5_1|2]), (150,247,[4_1|2]), (150,265,[2_1|2]), (150,284,[3_1|2]), (150,300,[5_1|2]), (150,305,[1_1|2]), (150,315,[4_1|2]), (150,325,[0_1|2]), (150,330,[0_1|2]), (150,347,[5_1|2]), (150,355,[1_1|2]), (150,366,[1_1|2]), (150,380,[5_1|2]), (150,391,[5_1|2]), (150,403,[1_1|2]), (150,419,[3_1|2]), (151,152,[4_1|2]), (152,153,[4_1|2]), (152,300,[5_1|2]), (153,150,[2_1|2]), (153,204,[2_1|2]), (153,265,[2_1|2]), (153,306,[2_1|2]), (153,200,[4_1|2]), (153,218,[0_1|2]), (153,223,[4_1|2]), (153,230,[5_1|2]), (153,247,[4_1|2]), (153,284,[3_1|2]), (154,155,[0_1|2]), (155,156,[0_1|2]), (156,157,[4_1|2]), (157,158,[5_1|2]), (158,150,[0_1|2]), (158,230,[0_1|2]), (158,300,[0_1|2]), (158,347,[0_1|2]), (158,380,[0_1|2]), (158,391,[0_1|2]), (158,151,[3_1|2]), (158,154,[3_1|2]), (158,159,[0_1|2]), (158,164,[0_1|2]), (158,181,[3_1|2]), (159,160,[0_1|2]), (160,161,[1_1|2]), (161,162,[5_1|2]), (162,163,[4_1|2]), (162,315,[4_1|2]), (163,150,[5_1|2]), (163,230,[5_1|2]), (163,300,[5_1|2]), (163,347,[5_1|2]), (163,380,[5_1|2]), (163,391,[5_1|2]), (164,165,[4_1|2]), (165,166,[2_1|2]), (166,167,[1_1|2]), (167,168,[2_1|2]), (168,169,[0_1|2]), (169,170,[2_1|2]), (170,171,[2_1|2]), (171,172,[4_1|2]), (172,173,[3_1|2]), (173,174,[3_1|2]), (174,175,[2_1|2]), (175,176,[2_1|2]), (176,177,[4_1|2]), (177,178,[4_1|2]), (178,179,[3_1|2]), (179,180,[3_1|2]), (180,150,[4_1|2]), (180,200,[4_1|2]), (180,223,[4_1|2]), (180,247,[4_1|2]), (180,315,[4_1|2]), (180,152,[4_1|2]), (180,300,[5_1|2]), (180,305,[1_1|2]), (181,182,[5_1|2]), (182,183,[5_1|2]), (183,184,[1_1|2]), (184,185,[3_1|2]), (185,186,[2_1|2]), (186,187,[2_1|2]), (187,188,[2_1|2]), (188,189,[5_1|2]), (189,190,[2_1|2]), (190,191,[5_1|2]), (191,192,[5_1|2]), (192,193,[5_1|2]), (193,194,[2_1|2]), (194,195,[0_1|2]), (195,196,[4_1|2]), (196,197,[1_1|2]), (197,198,[1_1|2]), (198,199,[4_1|2]), (199,150,[4_1|2]), (199,200,[4_1|2]), (199,223,[4_1|2]), (199,247,[4_1|2]), (199,315,[4_1|2]), (199,152,[4_1|2]), (199,300,[5_1|2]), (199,305,[1_1|2]), (200,201,[0_1|2]), (201,202,[5_1|2]), (202,203,[2_1|2]), (202,223,[4_1|2]), (202,230,[5_1|2]), (202,247,[4_1|2]), (203,150,[5_1|2]), (203,230,[5_1|2]), (203,300,[5_1|2]), (203,347,[5_1|2]), (203,380,[5_1|2]), (203,391,[5_1|2]), (203,301,[5_1|2]), (203,392,[5_1|2]), (204,205,[2_1|2]), (205,206,[3_1|2]), (206,207,[3_1|2]), (207,208,[5_1|2]), (208,209,[5_1|2]), (209,210,[5_1|2]), (210,211,[3_1|2]), (211,212,[1_1|2]), (212,213,[4_1|2]), (213,214,[0_1|2]), (214,215,[5_1|2]), (215,216,[0_1|2]), (216,217,[2_1|2]), (216,284,[3_1|2]), (217,150,[2_1|2]), (217,230,[2_1|2, 5_1|2]), (217,300,[2_1|2]), (217,347,[2_1|2]), (217,380,[2_1|2]), (217,391,[2_1|2]), (217,202,[2_1|2]), (217,200,[4_1|2]), (217,204,[2_1|2]), (217,218,[0_1|2]), (217,223,[4_1|2]), (217,247,[4_1|2]), (217,265,[2_1|2]), (217,284,[3_1|2]), (218,219,[4_1|2]), (219,220,[5_1|2]), (220,221,[3_1|2]), (221,222,[1_1|2]), (221,391,[5_1|2]), (222,150,[4_1|2]), (222,200,[4_1|2]), (222,223,[4_1|2]), (222,247,[4_1|2]), (222,315,[4_1|2]), (222,300,[5_1|2]), (222,305,[1_1|2]), (223,224,[2_1|2]), (224,225,[5_1|2]), (225,226,[5_1|2]), (226,227,[4_1|2]), (227,228,[5_1|2]), (228,229,[5_1|2]), (229,150,[0_1|2]), (229,159,[0_1|2]), (229,164,[0_1|2]), (229,218,[0_1|2]), (229,325,[0_1|2]), (229,330,[0_1|2]), (229,160,[0_1|2]), (229,326,[0_1|2]), (229,151,[3_1|2]), (229,154,[3_1|2]), (229,181,[3_1|2]), (230,231,[4_1|2]), (231,232,[5_1|2]), (232,233,[4_1|2]), (233,234,[5_1|2]), (234,235,[1_1|2]), (235,236,[1_1|2]), (236,237,[0_1|2]), (237,238,[4_1|2]), (238,239,[2_1|2]), (239,240,[5_1|2]), (240,241,[4_1|2]), (241,242,[1_1|2]), (242,243,[2_1|2]), (243,244,[0_1|2]), (244,245,[1_1|2]), (244,403,[1_1|2]), (245,246,[3_1|2]), (246,150,[1_1|2]), (246,305,[1_1|2]), (246,355,[1_1|2]), (246,366,[1_1|2]), (246,403,[1_1|2]), (246,380,[5_1|2]), (246,391,[5_1|2]), (246,419,[3_1|2]), (247,248,[4_1|2]), (248,249,[0_1|2]), (249,250,[4_1|2]), (250,251,[1_1|2]), (251,252,[1_1|2]), (252,253,[4_1|2]), (253,254,[5_1|2]), (254,255,[2_1|2]), (255,256,[5_1|2]), (256,257,[1_1|2]), (257,258,[0_1|2]), (258,259,[1_1|2]), (259,260,[4_1|2]), (260,261,[4_1|2]), (261,262,[1_1|2]), (262,263,[1_1|2]), (263,264,[3_1|2]), (264,150,[3_1|2]), (264,151,[3_1|2]), (264,154,[3_1|2]), (264,181,[3_1|2]), (264,284,[3_1|2]), (264,419,[3_1|2]), (264,325,[0_1|2]), (264,330,[0_1|2]), (265,266,[5_1|2]), (266,267,[2_1|2]), (267,268,[4_1|2]), (268,269,[3_1|2]), (269,270,[5_1|2]), (270,271,[4_1|2]), (271,272,[2_1|2]), (272,273,[4_1|2]), (273,274,[3_1|2]), (274,275,[4_1|2]), (275,276,[1_1|2]), (276,277,[3_1|2]), (277,278,[4_1|2]), (278,279,[5_1|2]), (279,280,[5_1|2]), (280,281,[4_1|2]), (281,282,[1_1|2]), (282,283,[2_1|2]), (282,265,[2_1|2]), (283,150,[4_1|2]), (283,200,[4_1|2]), (283,223,[4_1|2]), (283,247,[4_1|2]), (283,315,[4_1|2]), (283,248,[4_1|2]), (283,316,[4_1|2]), (283,332,[4_1|2]), (283,300,[5_1|2]), (283,305,[1_1|2]), (284,285,[2_1|2]), (285,286,[4_1|2]), (286,287,[4_1|2]), (287,288,[2_1|2]), (288,289,[3_1|2]), (289,290,[3_1|2]), (290,291,[1_1|2]), (291,292,[1_1|2]), (292,293,[2_1|2]), (293,294,[0_1|2]), (294,295,[3_1|2]), (295,296,[3_1|2]), (296,297,[1_1|2]), (297,298,[1_1|2]), (298,299,[4_1|2]), (298,315,[4_1|2]), (299,150,[5_1|2]), (299,230,[5_1|2]), (299,300,[5_1|2]), (299,347,[5_1|2]), (299,380,[5_1|2]), (299,391,[5_1|2]), (299,266,[5_1|2]), (300,301,[5_1|2]), (301,302,[0_1|2]), (302,303,[5_1|2]), (303,304,[2_1|2]), (303,223,[4_1|2]), (303,230,[5_1|2]), (303,247,[4_1|2]), (304,150,[5_1|2]), (304,204,[5_1|2]), (304,265,[5_1|2]), (304,306,[5_1|2]), (304,347,[5_1|2]), (305,306,[2_1|2]), (306,307,[1_1|2]), (307,308,[4_1|2]), (308,309,[4_1|2]), (309,310,[3_1|2]), (310,311,[2_1|2]), (311,312,[5_1|2]), (312,313,[0_1|2]), (313,314,[2_1|2]), (313,218,[0_1|2]), (314,150,[3_1|2]), (314,151,[3_1|2]), (314,154,[3_1|2]), (314,181,[3_1|2]), (314,284,[3_1|2]), (314,419,[3_1|2]), (314,348,[3_1|2]), (314,325,[0_1|2]), (314,330,[0_1|2]), (315,316,[4_1|2]), (316,317,[4_1|2]), (317,318,[3_1|2]), (318,319,[3_1|2]), (319,320,[1_1|2]), (320,321,[3_1|2]), (321,322,[5_1|2]), (322,323,[5_1|2]), (323,324,[1_1|2]), (323,380,[5_1|2]), (324,150,[1_1|2]), (324,305,[1_1|2]), (324,355,[1_1|2]), (324,366,[1_1|2]), (324,403,[1_1|2]), (324,380,[5_1|2]), (324,391,[5_1|2]), (324,419,[3_1|2]), (325,326,[0_1|2]), (326,327,[0_1|2]), (327,328,[5_1|2]), (328,329,[4_1|2]), (328,305,[1_1|2]), (329,150,[0_1|2]), (329,159,[0_1|2]), (329,164,[0_1|2]), (329,218,[0_1|2]), (329,325,[0_1|2]), (329,330,[0_1|2]), (329,201,[0_1|2]), (329,151,[3_1|2]), (329,154,[3_1|2]), (329,181,[3_1|2]), (330,331,[4_1|2]), (331,332,[4_1|2]), (332,333,[3_1|2]), (333,334,[0_1|2]), (334,335,[1_1|2]), (335,336,[1_1|2]), (336,337,[3_1|2]), (337,338,[0_1|2]), (338,339,[4_1|2]), (339,340,[2_1|2]), (340,341,[2_1|2]), (341,342,[3_1|2]), (342,343,[3_1|2]), (343,344,[0_1|2]), (344,345,[4_1|2]), (345,346,[0_1|2]), (345,151,[3_1|2]), (345,154,[3_1|2]), (345,438,[3_1|3]), (346,150,[1_1|2]), (346,200,[1_1|2]), (346,223,[1_1|2]), (346,247,[1_1|2]), (346,315,[1_1|2]), (346,165,[1_1|2]), (346,219,[1_1|2]), (346,331,[1_1|2]), (346,355,[1_1|2]), (346,366,[1_1|2]), (346,380,[5_1|2]), (346,391,[5_1|2]), (346,403,[1_1|2]), (346,419,[3_1|2]), (347,348,[3_1|2]), (348,349,[5_1|2]), (349,350,[0_1|2]), (350,351,[4_1|2]), (351,352,[3_1|2]), (351,325,[0_1|2]), (352,353,[5_1|2]), (353,354,[4_1|2]), (353,305,[1_1|2]), (354,150,[0_1|2]), (354,159,[0_1|2]), (354,164,[0_1|2]), (354,218,[0_1|2]), (354,325,[0_1|2]), (354,330,[0_1|2]), (354,155,[0_1|2]), (354,420,[0_1|2]), (354,151,[3_1|2]), (354,154,[3_1|2]), (354,181,[3_1|2]), (355,356,[0_1|2]), (356,357,[4_1|2]), (357,358,[4_1|2]), (358,359,[5_1|2]), (359,360,[1_1|2]), (360,361,[2_1|2]), (361,362,[4_1|2]), (362,363,[3_1|2]), (363,364,[3_1|2]), (364,365,[0_1|2]), (364,151,[3_1|2]), (364,154,[3_1|2]), (364,438,[3_1|3]), (365,150,[1_1|2]), (365,200,[1_1|2]), (365,223,[1_1|2]), (365,247,[1_1|2]), (365,315,[1_1|2]), (365,404,[1_1|2]), (365,355,[1_1|2]), (365,366,[1_1|2]), (365,380,[5_1|2]), (365,391,[5_1|2]), (365,403,[1_1|2]), (365,419,[3_1|2]), (366,367,[1_1|2]), (367,368,[3_1|2]), (368,369,[0_1|2]), (369,370,[0_1|2]), (370,371,[0_1|2]), (371,372,[3_1|2]), (372,373,[1_1|2]), (373,374,[5_1|2]), (374,375,[1_1|2]), (375,376,[0_1|2]), (376,377,[2_1|2]), (377,378,[3_1|2]), (378,379,[0_1|2]), (379,150,[0_1|2]), (379,151,[0_1|2, 3_1|2]), (379,154,[0_1|2, 3_1|2]), (379,181,[0_1|2, 3_1|2]), (379,284,[0_1|2]), (379,419,[0_1|2]), (379,159,[0_1|2]), (379,164,[0_1|2]), (380,381,[0_1|2]), (381,382,[0_1|2]), (382,383,[3_1|2]), (383,384,[3_1|2]), (384,385,[0_1|2]), (385,386,[5_1|2]), (386,387,[5_1|2]), (387,388,[5_1|2]), (388,389,[4_1|2]), (389,390,[2_1|2]), (389,218,[0_1|2]), (390,150,[3_1|2]), (390,230,[3_1|2]), (390,300,[3_1|2]), (390,347,[3_1|2]), (390,380,[3_1|2]), (390,391,[3_1|2]), (390,266,[3_1|2]), (390,325,[0_1|2]), (390,330,[0_1|2]), (391,392,[5_1|2]), (392,393,[3_1|2]), (393,394,[3_1|2]), (394,395,[5_1|2]), (395,396,[0_1|2]), (396,397,[4_1|2]), (397,398,[5_1|2]), (398,399,[4_1|2]), (399,400,[1_1|2]), (400,401,[5_1|2]), (401,402,[0_1|2]), (402,150,[0_1|2]), (402,230,[0_1|2]), (402,300,[0_1|2]), (402,347,[0_1|2]), (402,380,[0_1|2]), (402,391,[0_1|2]), (402,220,[0_1|2]), (402,151,[3_1|2]), (402,154,[3_1|2]), (402,159,[0_1|2]), (402,164,[0_1|2]), (402,181,[3_1|2]), (403,404,[4_1|2]), (404,405,[2_1|2]), (405,406,[0_1|2]), (406,407,[2_1|2]), (407,408,[0_1|2]), (408,409,[5_1|2]), (409,410,[5_1|2]), (410,411,[2_1|2]), (411,412,[2_1|2]), (412,413,[0_1|2]), (413,414,[5_1|2]), (414,415,[4_1|2]), (415,416,[3_1|2]), (416,417,[4_1|2]), (417,418,[4_1|2]), (418,150,[4_1|2]), (418,200,[4_1|2]), (418,223,[4_1|2]), (418,247,[4_1|2]), (418,315,[4_1|2]), (418,231,[4_1|2]), (418,300,[5_1|2]), (418,305,[1_1|2]), (419,420,[0_1|2]), (420,421,[0_1|2]), (421,422,[5_1|2]), (422,423,[2_1|2]), (423,424,[5_1|2]), (424,425,[2_1|2]), (425,426,[2_1|2]), (426,427,[1_1|2]), (427,428,[4_1|2]), (428,429,[2_1|2]), (429,430,[2_1|2]), (430,431,[0_1|2]), (431,432,[0_1|2]), (432,433,[2_1|2]), (433,434,[5_1|2]), (434,435,[5_1|2]), (435,436,[3_1|2]), (436,437,[0_1|2]), (436,181,[3_1|2]), (437,150,[2_1|2]), (437,230,[2_1|2, 5_1|2]), (437,300,[2_1|2]), (437,347,[2_1|2]), (437,380,[2_1|2]), (437,391,[2_1|2]), (437,301,[2_1|2]), (437,392,[2_1|2]), (437,200,[4_1|2]), (437,204,[2_1|2]), (437,218,[0_1|2]), (437,223,[4_1|2]), (437,247,[4_1|2]), (437,265,[2_1|2]), (437,284,[3_1|2]), (438,439,[4_1|3]), (439,440,[4_1|3]), (440,306,[2_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)