/export/starexec/sandbox/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 102 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 30 ms] (8) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(1(0(2(x1))))) -> 0(3(4(1(2(x1))))) 0(5(5(1(3(0(x1)))))) -> 4(3(3(1(3(4(x1)))))) 2(3(1(4(2(2(x1)))))) -> 2(0(1(5(2(x1))))) 1(4(4(1(3(2(0(x1))))))) -> 1(0(1(1(4(0(5(x1))))))) 0(1(0(4(3(3(0(1(x1)))))))) -> 3(2(0(5(5(4(1(x1))))))) 0(1(2(5(5(0(0(5(x1)))))))) -> 0(1(0(2(3(2(0(x1))))))) 5(4(2(1(5(1(0(2(x1)))))))) -> 5(3(4(3(5(0(0(2(x1)))))))) 1(4(2(3(5(5(1(5(1(5(x1)))))))))) -> 3(3(2(3(5(2(5(2(4(x1))))))))) 5(0(4(4(1(4(1(1(0(4(x1)))))))))) -> 5(3(1(3(5(4(0(3(0(4(x1)))))))))) 1(0(0(2(3(5(1(4(1(5(4(4(2(x1))))))))))))) -> 3(3(0(0(3(0(3(4(2(2(5(3(2(x1))))))))))))) 5(3(2(1(4(5(2(1(0(1(0(0(2(3(4(x1))))))))))))))) -> 3(3(2(5(4(3(0(0(0(5(4(0(1(2(2(x1))))))))))))))) 5(4(3(3(4(0(1(3(3(0(2(0(3(1(0(x1))))))))))))))) -> 5(5(1(3(0(2(3(1(3(4(3(3(3(4(4(x1))))))))))))))) 0(3(2(4(2(4(3(2(1(4(1(1(0(3(0(2(x1)))))))))))))))) -> 5(0(2(4(0(1(4(4(1(0(4(2(2(1(0(2(x1)))))))))))))))) 0(3(3(3(3(3(4(5(3(4(5(0(5(0(0(2(x1)))))))))))))))) -> 1(1(1(4(1(2(5(0(1(1(2(3(1(1(1(x1))))))))))))))) 3(5(3(1(0(2(0(2(3(5(1(4(5(2(2(2(x1)))))))))))))))) -> 3(2(4(4(1(1(2(1(3(2(4(2(0(4(2(x1))))))))))))))) 3(5(3(4(1(2(4(2(1(0(1(5(2(0(3(4(x1)))))))))))))))) -> 3(5(5(0(5(1(0(2(5(3(3(2(5(4(1(1(x1)))))))))))))))) 0(0(4(5(0(2(3(2(1(2(0(1(0(2(0(0(4(x1))))))))))))))))) -> 0(5(5(3(1(4(3(1(1(3(2(5(0(4(0(4(2(4(x1)))))))))))))))))) 3(0(2(1(1(4(4(2(2(2(1(4(3(3(1(4(4(x1))))))))))))))))) -> 1(1(3(3(3(0(4(3(2(3(2(2(3(1(5(4(4(x1))))))))))))))))) 4(2(1(0(4(0(4(5(1(3(1(4(0(3(4(0(1(x1))))))))))))))))) -> 0(2(3(3(4(4(1(3(2(1(1(5(1(0(1(1(x1)))))))))))))))) 4(3(0(5(3(2(3(5(1(4(1(1(2(2(0(4(4(x1))))))))))))))))) -> 2(3(3(2(5(4(2(1(2(4(5(3(1(4(0(1(x1)))))))))))))))) 5(0(3(2(2(3(1(0(3(1(1(3(1(3(5(3(1(x1))))))))))))))))) -> 5(3(0(1(0(3(4(2(1(0(2(0(3(4(1(x1))))))))))))))) 1(4(4(4(5(0(0(3(1(5(5(0(0(5(2(1(2(4(x1)))))))))))))))))) -> 1(5(0(0(2(5(1(4(5(1(0(0(4(1(0(0(4(x1))))))))))))))))) 0(1(1(0(4(1(2(3(1(3(3(1(4(2(5(4(3(3(1(x1))))))))))))))))))) -> 3(2(3(1(5(3(3(0(2(5(4(2(4(1(1(0(0(3(x1)))))))))))))))))) 5(0(3(3(2(0(4(0(4(2(1(4(3(3(1(0(4(1(4(5(x1)))))))))))))))))))) -> 2(2(0(4(2(2(5(5(2(2(0(0(4(0(2(3(5(2(4(x1))))))))))))))))))) 5(1(3(4(5(2(4(5(0(4(5(5(5(4(2(3(5(3(1(1(x1)))))))))))))))))))) -> 3(3(2(5(5(5(4(0(3(5(2(3(1(4(3(5(2(5(1(2(x1)))))))))))))))))))) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (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_1(x_1)) -> 1(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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 (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(1(0(2(x1))))) -> 0(3(4(1(2(x1))))) 0(5(5(1(3(0(x1)))))) -> 4(3(3(1(3(4(x1)))))) 2(3(1(4(2(2(x1)))))) -> 2(0(1(5(2(x1))))) 1(4(4(1(3(2(0(x1))))))) -> 1(0(1(1(4(0(5(x1))))))) 0(1(0(4(3(3(0(1(x1)))))))) -> 3(2(0(5(5(4(1(x1))))))) 0(1(2(5(5(0(0(5(x1)))))))) -> 0(1(0(2(3(2(0(x1))))))) 5(4(2(1(5(1(0(2(x1)))))))) -> 5(3(4(3(5(0(0(2(x1)))))))) 1(4(2(3(5(5(1(5(1(5(x1)))))))))) -> 3(3(2(3(5(2(5(2(4(x1))))))))) 5(0(4(4(1(4(1(1(0(4(x1)))))))))) -> 5(3(1(3(5(4(0(3(0(4(x1)))))))))) 1(0(0(2(3(5(1(4(1(5(4(4(2(x1))))))))))))) -> 3(3(0(0(3(0(3(4(2(2(5(3(2(x1))))))))))))) 5(3(2(1(4(5(2(1(0(1(0(0(2(3(4(x1))))))))))))))) -> 3(3(2(5(4(3(0(0(0(5(4(0(1(2(2(x1))))))))))))))) 5(4(3(3(4(0(1(3(3(0(2(0(3(1(0(x1))))))))))))))) -> 5(5(1(3(0(2(3(1(3(4(3(3(3(4(4(x1))))))))))))))) 0(3(2(4(2(4(3(2(1(4(1(1(0(3(0(2(x1)))))))))))))))) -> 5(0(2(4(0(1(4(4(1(0(4(2(2(1(0(2(x1)))))))))))))))) 0(3(3(3(3(3(4(5(3(4(5(0(5(0(0(2(x1)))))))))))))))) -> 1(1(1(4(1(2(5(0(1(1(2(3(1(1(1(x1))))))))))))))) 3(5(3(1(0(2(0(2(3(5(1(4(5(2(2(2(x1)))))))))))))))) -> 3(2(4(4(1(1(2(1(3(2(4(2(0(4(2(x1))))))))))))))) 3(5(3(4(1(2(4(2(1(0(1(5(2(0(3(4(x1)))))))))))))))) -> 3(5(5(0(5(1(0(2(5(3(3(2(5(4(1(1(x1)))))))))))))))) 0(0(4(5(0(2(3(2(1(2(0(1(0(2(0(0(4(x1))))))))))))))))) -> 0(5(5(3(1(4(3(1(1(3(2(5(0(4(0(4(2(4(x1)))))))))))))))))) 3(0(2(1(1(4(4(2(2(2(1(4(3(3(1(4(4(x1))))))))))))))))) -> 1(1(3(3(3(0(4(3(2(3(2(2(3(1(5(4(4(x1))))))))))))))))) 4(2(1(0(4(0(4(5(1(3(1(4(0(3(4(0(1(x1))))))))))))))))) -> 0(2(3(3(4(4(1(3(2(1(1(5(1(0(1(1(x1)))))))))))))))) 4(3(0(5(3(2(3(5(1(4(1(1(2(2(0(4(4(x1))))))))))))))))) -> 2(3(3(2(5(4(2(1(2(4(5(3(1(4(0(1(x1)))))))))))))))) 5(0(3(2(2(3(1(0(3(1(1(3(1(3(5(3(1(x1))))))))))))))))) -> 5(3(0(1(0(3(4(2(1(0(2(0(3(4(1(x1))))))))))))))) 1(4(4(4(5(0(0(3(1(5(5(0(0(5(2(1(2(4(x1)))))))))))))))))) -> 1(5(0(0(2(5(1(4(5(1(0(0(4(1(0(0(4(x1))))))))))))))))) 0(1(1(0(4(1(2(3(1(3(3(1(4(2(5(4(3(3(1(x1))))))))))))))))))) -> 3(2(3(1(5(3(3(0(2(5(4(2(4(1(1(0(0(3(x1)))))))))))))))))) 5(0(3(3(2(0(4(0(4(2(1(4(3(3(1(0(4(1(4(5(x1)))))))))))))))))))) -> 2(2(0(4(2(2(5(5(2(2(0(0(4(0(2(3(5(2(4(x1))))))))))))))))))) 5(1(3(4(5(2(4(5(0(4(5(5(5(4(2(3(5(3(1(1(x1)))))))))))))))))))) -> 3(3(2(5(5(5(4(0(3(5(2(3(1(4(3(5(2(5(1(2(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_1(x_1)) -> 1(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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: INNERMOST ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(1(0(2(x1))))) -> 0(3(4(1(2(x1))))) 0(5(5(1(3(0(x1)))))) -> 4(3(3(1(3(4(x1)))))) 2(3(1(4(2(2(x1)))))) -> 2(0(1(5(2(x1))))) 1(4(4(1(3(2(0(x1))))))) -> 1(0(1(1(4(0(5(x1))))))) 0(1(0(4(3(3(0(1(x1)))))))) -> 3(2(0(5(5(4(1(x1))))))) 0(1(2(5(5(0(0(5(x1)))))))) -> 0(1(0(2(3(2(0(x1))))))) 5(4(2(1(5(1(0(2(x1)))))))) -> 5(3(4(3(5(0(0(2(x1)))))))) 1(4(2(3(5(5(1(5(1(5(x1)))))))))) -> 3(3(2(3(5(2(5(2(4(x1))))))))) 5(0(4(4(1(4(1(1(0(4(x1)))))))))) -> 5(3(1(3(5(4(0(3(0(4(x1)))))))))) 1(0(0(2(3(5(1(4(1(5(4(4(2(x1))))))))))))) -> 3(3(0(0(3(0(3(4(2(2(5(3(2(x1))))))))))))) 5(3(2(1(4(5(2(1(0(1(0(0(2(3(4(x1))))))))))))))) -> 3(3(2(5(4(3(0(0(0(5(4(0(1(2(2(x1))))))))))))))) 5(4(3(3(4(0(1(3(3(0(2(0(3(1(0(x1))))))))))))))) -> 5(5(1(3(0(2(3(1(3(4(3(3(3(4(4(x1))))))))))))))) 0(3(2(4(2(4(3(2(1(4(1(1(0(3(0(2(x1)))))))))))))))) -> 5(0(2(4(0(1(4(4(1(0(4(2(2(1(0(2(x1)))))))))))))))) 0(3(3(3(3(3(4(5(3(4(5(0(5(0(0(2(x1)))))))))))))))) -> 1(1(1(4(1(2(5(0(1(1(2(3(1(1(1(x1))))))))))))))) 3(5(3(1(0(2(0(2(3(5(1(4(5(2(2(2(x1)))))))))))))))) -> 3(2(4(4(1(1(2(1(3(2(4(2(0(4(2(x1))))))))))))))) 3(5(3(4(1(2(4(2(1(0(1(5(2(0(3(4(x1)))))))))))))))) -> 3(5(5(0(5(1(0(2(5(3(3(2(5(4(1(1(x1)))))))))))))))) 0(0(4(5(0(2(3(2(1(2(0(1(0(2(0(0(4(x1))))))))))))))))) -> 0(5(5(3(1(4(3(1(1(3(2(5(0(4(0(4(2(4(x1)))))))))))))))))) 3(0(2(1(1(4(4(2(2(2(1(4(3(3(1(4(4(x1))))))))))))))))) -> 1(1(3(3(3(0(4(3(2(3(2(2(3(1(5(4(4(x1))))))))))))))))) 4(2(1(0(4(0(4(5(1(3(1(4(0(3(4(0(1(x1))))))))))))))))) -> 0(2(3(3(4(4(1(3(2(1(1(5(1(0(1(1(x1)))))))))))))))) 4(3(0(5(3(2(3(5(1(4(1(1(2(2(0(4(4(x1))))))))))))))))) -> 2(3(3(2(5(4(2(1(2(4(5(3(1(4(0(1(x1)))))))))))))))) 5(0(3(2(2(3(1(0(3(1(1(3(1(3(5(3(1(x1))))))))))))))))) -> 5(3(0(1(0(3(4(2(1(0(2(0(3(4(1(x1))))))))))))))) 1(4(4(4(5(0(0(3(1(5(5(0(0(5(2(1(2(4(x1)))))))))))))))))) -> 1(5(0(0(2(5(1(4(5(1(0(0(4(1(0(0(4(x1))))))))))))))))) 0(1(1(0(4(1(2(3(1(3(3(1(4(2(5(4(3(3(1(x1))))))))))))))))))) -> 3(2(3(1(5(3(3(0(2(5(4(2(4(1(1(0(0(3(x1)))))))))))))))))) 5(0(3(3(2(0(4(0(4(2(1(4(3(3(1(0(4(1(4(5(x1)))))))))))))))))))) -> 2(2(0(4(2(2(5(5(2(2(0(0(4(0(2(3(5(2(4(x1))))))))))))))))))) 5(1(3(4(5(2(4(5(0(4(5(5(5(4(2(3(5(3(1(1(x1)))))))))))))))))))) -> 3(3(2(5(5(5(4(0(3(5(2(3(1(4(3(5(2(5(1(2(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_1(x_1)) -> 1(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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: INNERMOST ---------------------------------------- (5) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(1(0(2(x1))))) -> 0(3(4(1(2(x1))))) 0(5(5(1(3(0(x1)))))) -> 4(3(3(1(3(4(x1)))))) 2(3(1(4(2(2(x1)))))) -> 2(0(1(5(2(x1))))) 1(4(4(1(3(2(0(x1))))))) -> 1(0(1(1(4(0(5(x1))))))) 0(1(0(4(3(3(0(1(x1)))))))) -> 3(2(0(5(5(4(1(x1))))))) 0(1(2(5(5(0(0(5(x1)))))))) -> 0(1(0(2(3(2(0(x1))))))) 5(4(2(1(5(1(0(2(x1)))))))) -> 5(3(4(3(5(0(0(2(x1)))))))) 1(4(2(3(5(5(1(5(1(5(x1)))))))))) -> 3(3(2(3(5(2(5(2(4(x1))))))))) 5(0(4(4(1(4(1(1(0(4(x1)))))))))) -> 5(3(1(3(5(4(0(3(0(4(x1)))))))))) 1(0(0(2(3(5(1(4(1(5(4(4(2(x1))))))))))))) -> 3(3(0(0(3(0(3(4(2(2(5(3(2(x1))))))))))))) 5(3(2(1(4(5(2(1(0(1(0(0(2(3(4(x1))))))))))))))) -> 3(3(2(5(4(3(0(0(0(5(4(0(1(2(2(x1))))))))))))))) 5(4(3(3(4(0(1(3(3(0(2(0(3(1(0(x1))))))))))))))) -> 5(5(1(3(0(2(3(1(3(4(3(3(3(4(4(x1))))))))))))))) 0(3(2(4(2(4(3(2(1(4(1(1(0(3(0(2(x1)))))))))))))))) -> 5(0(2(4(0(1(4(4(1(0(4(2(2(1(0(2(x1)))))))))))))))) 0(3(3(3(3(3(4(5(3(4(5(0(5(0(0(2(x1)))))))))))))))) -> 1(1(1(4(1(2(5(0(1(1(2(3(1(1(1(x1))))))))))))))) 3(5(3(1(0(2(0(2(3(5(1(4(5(2(2(2(x1)))))))))))))))) -> 3(2(4(4(1(1(2(1(3(2(4(2(0(4(2(x1))))))))))))))) 3(5(3(4(1(2(4(2(1(0(1(5(2(0(3(4(x1)))))))))))))))) -> 3(5(5(0(5(1(0(2(5(3(3(2(5(4(1(1(x1)))))))))))))))) 0(0(4(5(0(2(3(2(1(2(0(1(0(2(0(0(4(x1))))))))))))))))) -> 0(5(5(3(1(4(3(1(1(3(2(5(0(4(0(4(2(4(x1)))))))))))))))))) 3(0(2(1(1(4(4(2(2(2(1(4(3(3(1(4(4(x1))))))))))))))))) -> 1(1(3(3(3(0(4(3(2(3(2(2(3(1(5(4(4(x1))))))))))))))))) 4(2(1(0(4(0(4(5(1(3(1(4(0(3(4(0(1(x1))))))))))))))))) -> 0(2(3(3(4(4(1(3(2(1(1(5(1(0(1(1(x1)))))))))))))))) 4(3(0(5(3(2(3(5(1(4(1(1(2(2(0(4(4(x1))))))))))))))))) -> 2(3(3(2(5(4(2(1(2(4(5(3(1(4(0(1(x1)))))))))))))))) 5(0(3(2(2(3(1(0(3(1(1(3(1(3(5(3(1(x1))))))))))))))))) -> 5(3(0(1(0(3(4(2(1(0(2(0(3(4(1(x1))))))))))))))) 1(4(4(4(5(0(0(3(1(5(5(0(0(5(2(1(2(4(x1)))))))))))))))))) -> 1(5(0(0(2(5(1(4(5(1(0(0(4(1(0(0(4(x1))))))))))))))))) 0(1(1(0(4(1(2(3(1(3(3(1(4(2(5(4(3(3(1(x1))))))))))))))))))) -> 3(2(3(1(5(3(3(0(2(5(4(2(4(1(1(0(0(3(x1)))))))))))))))))) 5(0(3(3(2(0(4(0(4(2(1(4(3(3(1(0(4(1(4(5(x1)))))))))))))))))))) -> 2(2(0(4(2(2(5(5(2(2(0(0(4(0(2(3(5(2(4(x1))))))))))))))))))) 5(1(3(4(5(2(4(5(0(4(5(5(5(4(2(3(5(3(1(1(x1)))))))))))))))))))) -> 3(3(2(5(5(5(4(0(3(5(2(3(1(4(3(5(2(5(1(2(x1)))))))))))))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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: INNERMOST ---------------------------------------- (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, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459] {(148,149,[0_1|0, 2_1|0, 1_1|0, 5_1|0, 3_1|0, 4_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, 1_1|1, 5_1|1, 3_1|1, 4_1|1]), (148,151,[0_1|2]), (148,155,[0_1|2]), (148,172,[4_1|2]), (148,177,[3_1|2]), (148,183,[0_1|2]), (148,189,[3_1|2]), (148,206,[5_1|2]), (148,221,[1_1|2]), (148,235,[2_1|2]), (148,239,[1_1|2]), (148,245,[1_1|2]), (148,261,[3_1|2]), (148,269,[3_1|2]), (148,281,[5_1|2]), (148,288,[5_1|2]), (148,302,[5_1|2]), (148,311,[5_1|2]), (148,325,[2_1|2]), (148,343,[3_1|2]), (148,357,[3_1|2]), (148,376,[3_1|2]), (148,390,[3_1|2]), (148,405,[1_1|2]), (148,421,[0_1|2]), (148,436,[2_1|2]), (149,149,[cons_0_1|0, cons_2_1|0, cons_1_1|0, cons_5_1|0, cons_3_1|0, cons_4_1|0]), (150,149,[encArg_1|1]), (150,150,[0_1|1, 2_1|1, 1_1|1, 5_1|1, 3_1|1, 4_1|1]), (150,151,[0_1|2]), (150,155,[0_1|2]), (150,172,[4_1|2]), (150,177,[3_1|2]), (150,183,[0_1|2]), (150,189,[3_1|2]), (150,206,[5_1|2]), (150,221,[1_1|2]), (150,235,[2_1|2]), (150,239,[1_1|2]), (150,245,[1_1|2]), (150,261,[3_1|2]), (150,269,[3_1|2]), (150,281,[5_1|2]), (150,288,[5_1|2]), (150,302,[5_1|2]), (150,311,[5_1|2]), (150,325,[2_1|2]), (150,343,[3_1|2]), (150,357,[3_1|2]), (150,376,[3_1|2]), (150,390,[3_1|2]), (150,405,[1_1|2]), (150,421,[0_1|2]), (150,436,[2_1|2]), (151,152,[3_1|2]), (152,153,[4_1|2]), (153,154,[1_1|2]), (154,150,[2_1|2]), (154,235,[2_1|2]), (154,325,[2_1|2]), (154,436,[2_1|2]), (154,422,[2_1|2]), (154,186,[2_1|2]), (155,156,[5_1|2]), (156,157,[5_1|2]), (157,158,[3_1|2]), (158,159,[1_1|2]), (159,160,[4_1|2]), (160,161,[3_1|2]), (161,162,[1_1|2]), (162,163,[1_1|2]), (163,164,[3_1|2]), (164,165,[2_1|2]), (165,166,[5_1|2]), (166,167,[0_1|2]), (167,168,[4_1|2]), (168,169,[0_1|2]), (169,170,[4_1|2]), (170,171,[2_1|2]), (171,150,[4_1|2]), (171,172,[4_1|2]), (171,421,[0_1|2]), (171,436,[2_1|2]), (172,173,[3_1|2]), (173,174,[3_1|2]), (174,175,[1_1|2]), (175,176,[3_1|2]), (176,150,[4_1|2]), (176,151,[4_1|2]), (176,155,[4_1|2]), (176,183,[4_1|2]), (176,421,[4_1|2, 0_1|2]), (176,292,[4_1|2]), (176,436,[2_1|2]), (177,178,[2_1|2]), (178,179,[0_1|2]), (179,180,[5_1|2]), (180,181,[5_1|2]), (181,182,[4_1|2]), (182,150,[1_1|2]), (182,221,[1_1|2]), (182,239,[1_1|2]), (182,245,[1_1|2]), (182,405,[1_1|2]), (182,184,[1_1|2]), (182,261,[3_1|2]), (182,269,[3_1|2]), (183,184,[1_1|2]), (184,185,[0_1|2]), (185,186,[2_1|2]), (186,187,[3_1|2]), (187,188,[2_1|2]), (188,150,[0_1|2]), (188,206,[0_1|2, 5_1|2]), (188,281,[0_1|2]), (188,288,[0_1|2]), (188,302,[0_1|2]), (188,311,[0_1|2]), (188,156,[0_1|2]), (188,151,[0_1|2]), (188,155,[0_1|2]), (188,172,[4_1|2]), (188,177,[3_1|2]), (188,183,[0_1|2]), (188,189,[3_1|2]), (188,221,[1_1|2]), (188,451,[0_1|3]), (188,455,[4_1|3]), (189,190,[2_1|2]), (190,191,[3_1|2]), (191,192,[1_1|2]), (192,193,[5_1|2]), (193,194,[3_1|2]), (194,195,[3_1|2]), (195,196,[0_1|2]), (196,197,[2_1|2]), (197,198,[5_1|2]), (198,199,[4_1|2]), (199,200,[2_1|2]), (200,201,[4_1|2]), (201,202,[1_1|2]), (202,203,[1_1|2]), (203,204,[0_1|2]), (204,205,[0_1|2]), (204,206,[5_1|2]), (204,221,[1_1|2]), (205,150,[3_1|2]), (205,221,[3_1|2]), (205,239,[3_1|2]), (205,245,[3_1|2]), (205,405,[3_1|2, 1_1|2]), (205,175,[3_1|2]), (205,376,[3_1|2]), (205,390,[3_1|2]), (206,207,[0_1|2]), (207,208,[2_1|2]), (208,209,[4_1|2]), (209,210,[0_1|2]), (210,211,[1_1|2]), (211,212,[4_1|2]), (212,213,[4_1|2]), (213,214,[1_1|2]), (214,215,[0_1|2]), (215,216,[4_1|2]), (216,217,[2_1|2]), (217,218,[2_1|2]), (218,219,[1_1|2]), (219,220,[0_1|2]), (220,150,[2_1|2]), (220,235,[2_1|2]), (220,325,[2_1|2]), (220,436,[2_1|2]), (220,422,[2_1|2]), (221,222,[1_1|2]), (222,223,[1_1|2]), (223,224,[4_1|2]), (224,225,[1_1|2]), (225,226,[2_1|2]), (226,227,[5_1|2]), (227,228,[0_1|2]), (228,229,[1_1|2]), (229,230,[1_1|2]), (230,231,[2_1|2]), (231,232,[3_1|2]), (232,233,[1_1|2]), (233,234,[1_1|2]), (234,150,[1_1|2]), (234,235,[1_1|2]), (234,325,[1_1|2]), (234,436,[1_1|2]), (234,422,[1_1|2]), (234,239,[1_1|2]), (234,245,[1_1|2]), (234,261,[3_1|2]), (234,269,[3_1|2]), (235,236,[0_1|2]), (236,237,[1_1|2]), (237,238,[5_1|2]), (238,150,[2_1|2]), (238,235,[2_1|2]), (238,325,[2_1|2]), (238,436,[2_1|2]), (238,326,[2_1|2]), (239,240,[0_1|2]), (240,241,[1_1|2]), (241,242,[1_1|2]), (242,243,[4_1|2]), (243,244,[0_1|2]), (243,172,[4_1|2]), (243,455,[4_1|3]), (244,150,[5_1|2]), (244,151,[5_1|2]), (244,155,[5_1|2]), (244,183,[5_1|2]), (244,421,[5_1|2]), (244,236,[5_1|2]), (244,179,[5_1|2]), (244,281,[5_1|2]), (244,288,[5_1|2]), (244,302,[5_1|2]), (244,311,[5_1|2]), (244,325,[2_1|2]), (244,343,[3_1|2]), (244,357,[3_1|2]), (245,246,[5_1|2]), (246,247,[0_1|2]), (247,248,[0_1|2]), (248,249,[2_1|2]), (249,250,[5_1|2]), (250,251,[1_1|2]), (251,252,[4_1|2]), (252,253,[5_1|2]), (253,254,[1_1|2]), (254,255,[0_1|2]), (255,256,[0_1|2]), (256,257,[4_1|2]), (257,258,[1_1|2]), (258,259,[0_1|2]), (258,155,[0_1|2]), (259,260,[0_1|2]), (260,150,[4_1|2]), (260,172,[4_1|2]), (260,421,[0_1|2]), (260,436,[2_1|2]), (261,262,[3_1|2]), (262,263,[2_1|2]), (263,264,[3_1|2]), (264,265,[5_1|2]), (265,266,[2_1|2]), (266,267,[5_1|2]), (267,268,[2_1|2]), (268,150,[4_1|2]), (268,206,[4_1|2]), (268,281,[4_1|2]), (268,288,[4_1|2]), (268,302,[4_1|2]), (268,311,[4_1|2]), (268,246,[4_1|2]), (268,421,[0_1|2]), (268,436,[2_1|2]), (269,270,[3_1|2]), (270,271,[0_1|2]), (271,272,[0_1|2]), (272,273,[3_1|2]), (273,274,[0_1|2]), (274,275,[3_1|2]), (275,276,[4_1|2]), (276,277,[2_1|2]), (277,278,[2_1|2]), (278,279,[5_1|2]), (278,343,[3_1|2]), (279,280,[3_1|2]), (280,150,[2_1|2]), (280,235,[2_1|2]), (280,325,[2_1|2]), (280,436,[2_1|2]), (281,282,[3_1|2]), (282,283,[4_1|2]), (283,284,[3_1|2]), (284,285,[5_1|2]), (285,286,[0_1|2]), (286,287,[0_1|2]), (287,150,[2_1|2]), (287,235,[2_1|2]), (287,325,[2_1|2]), (287,436,[2_1|2]), (287,422,[2_1|2]), (288,289,[5_1|2]), (289,290,[1_1|2]), (290,291,[3_1|2]), (291,292,[0_1|2]), (292,293,[2_1|2]), (293,294,[3_1|2]), (294,295,[1_1|2]), (295,296,[3_1|2]), (296,297,[4_1|2]), (297,298,[3_1|2]), (298,299,[3_1|2]), (299,300,[3_1|2]), (300,301,[4_1|2]), (301,150,[4_1|2]), (301,151,[4_1|2]), (301,155,[4_1|2]), (301,183,[4_1|2]), (301,421,[4_1|2, 0_1|2]), (301,240,[4_1|2]), (301,436,[2_1|2]), (302,303,[3_1|2]), (303,304,[1_1|2]), (304,305,[3_1|2]), (305,306,[5_1|2]), (306,307,[4_1|2]), (307,308,[0_1|2]), (308,309,[3_1|2]), (309,310,[0_1|2]), (310,150,[4_1|2]), (310,172,[4_1|2]), (310,421,[0_1|2]), (310,436,[2_1|2]), (311,312,[3_1|2]), (312,313,[0_1|2]), (313,314,[1_1|2]), (314,315,[0_1|2]), (315,316,[3_1|2]), (316,317,[4_1|2]), (317,318,[2_1|2]), (318,319,[1_1|2]), (319,320,[0_1|2]), (320,321,[2_1|2]), (321,322,[0_1|2]), (322,323,[3_1|2]), (323,324,[4_1|2]), (324,150,[1_1|2]), (324,221,[1_1|2]), (324,239,[1_1|2]), (324,245,[1_1|2]), (324,405,[1_1|2]), (324,304,[1_1|2]), (324,261,[3_1|2]), (324,269,[3_1|2]), (325,326,[2_1|2]), (326,327,[0_1|2]), (327,328,[4_1|2]), (328,329,[2_1|2]), (329,330,[2_1|2]), (330,331,[5_1|2]), (331,332,[5_1|2]), (332,333,[2_1|2]), (333,334,[2_1|2]), (334,335,[0_1|2]), (335,336,[0_1|2]), (336,337,[4_1|2]), (337,338,[0_1|2]), (338,339,[2_1|2]), (339,340,[3_1|2]), (340,341,[5_1|2]), (341,342,[2_1|2]), (342,150,[4_1|2]), (342,206,[4_1|2]), (342,281,[4_1|2]), (342,288,[4_1|2]), (342,302,[4_1|2]), (342,311,[4_1|2]), (342,421,[0_1|2]), (342,436,[2_1|2]), (343,344,[3_1|2]), (344,345,[2_1|2]), (345,346,[5_1|2]), (346,347,[4_1|2]), (347,348,[3_1|2]), (348,349,[0_1|2]), (349,350,[0_1|2]), (350,351,[0_1|2]), (351,352,[5_1|2]), (352,353,[4_1|2]), (353,354,[0_1|2]), (354,355,[1_1|2]), (355,356,[2_1|2]), (356,150,[2_1|2]), (356,172,[2_1|2]), (356,235,[2_1|2]), (357,358,[3_1|2]), (358,359,[2_1|2]), (359,360,[5_1|2]), (360,361,[5_1|2]), (361,362,[5_1|2]), (362,363,[4_1|2]), (363,364,[0_1|2]), (364,365,[3_1|2]), (365,366,[5_1|2]), (366,367,[2_1|2]), (367,368,[3_1|2]), (368,369,[1_1|2]), (369,370,[4_1|2]), (370,371,[3_1|2]), (371,372,[5_1|2]), (372,373,[2_1|2]), (373,374,[5_1|2]), (374,375,[1_1|2]), (375,150,[2_1|2]), (375,221,[2_1|2]), (375,239,[2_1|2]), (375,245,[2_1|2]), (375,405,[2_1|2]), (375,222,[2_1|2]), (375,406,[2_1|2]), (375,235,[2_1|2]), (376,377,[2_1|2]), (377,378,[4_1|2]), (378,379,[4_1|2]), (379,380,[1_1|2]), (380,381,[1_1|2]), (381,382,[2_1|2]), (382,383,[1_1|2]), (383,384,[3_1|2]), (384,385,[2_1|2]), (385,386,[4_1|2]), (386,387,[2_1|2]), (387,388,[0_1|2]), (388,389,[4_1|2]), (388,421,[0_1|2]), (389,150,[2_1|2]), (389,235,[2_1|2]), (389,325,[2_1|2]), (389,436,[2_1|2]), (389,326,[2_1|2]), (390,391,[5_1|2]), (391,392,[5_1|2]), (392,393,[0_1|2]), (393,394,[5_1|2]), (394,395,[1_1|2]), (395,396,[0_1|2]), (396,397,[2_1|2]), (397,398,[5_1|2]), (398,399,[3_1|2]), (399,400,[3_1|2]), (400,401,[2_1|2]), (401,402,[5_1|2]), (402,403,[4_1|2]), (403,404,[1_1|2]), (404,150,[1_1|2]), (404,172,[1_1|2]), (404,153,[1_1|2]), (404,239,[1_1|2]), (404,245,[1_1|2]), (404,261,[3_1|2]), (404,269,[3_1|2]), (405,406,[1_1|2]), (406,407,[3_1|2]), (407,408,[3_1|2]), (408,409,[3_1|2]), (409,410,[0_1|2]), (410,411,[4_1|2]), (411,412,[3_1|2]), (412,413,[2_1|2]), (413,414,[3_1|2]), (414,415,[2_1|2]), (415,416,[2_1|2]), (416,417,[3_1|2]), (417,418,[1_1|2]), (418,419,[5_1|2]), (419,420,[4_1|2]), (420,150,[4_1|2]), (420,172,[4_1|2]), (420,421,[0_1|2]), (420,436,[2_1|2]), (421,422,[2_1|2]), (422,423,[3_1|2]), (423,424,[3_1|2]), (424,425,[4_1|2]), (425,426,[4_1|2]), (426,427,[1_1|2]), (427,428,[3_1|2]), (428,429,[2_1|2]), (429,430,[1_1|2]), (430,431,[1_1|2]), (431,432,[5_1|2]), (432,433,[1_1|2]), (433,434,[0_1|2]), (433,189,[3_1|2]), (434,435,[1_1|2]), (435,150,[1_1|2]), (435,221,[1_1|2]), (435,239,[1_1|2]), (435,245,[1_1|2]), (435,405,[1_1|2]), (435,184,[1_1|2]), (435,261,[3_1|2]), (435,269,[3_1|2]), (436,437,[3_1|2]), (437,438,[3_1|2]), (438,439,[2_1|2]), (439,440,[5_1|2]), (440,441,[4_1|2]), (441,442,[2_1|2]), (442,443,[1_1|2]), (443,444,[2_1|2]), (444,445,[4_1|2]), (445,446,[5_1|2]), (446,447,[3_1|2]), (447,448,[1_1|2]), (448,449,[4_1|2]), (449,450,[0_1|2]), (449,177,[3_1|2]), (449,183,[0_1|2]), (449,189,[3_1|2]), (450,150,[1_1|2]), (450,172,[1_1|2]), (450,239,[1_1|2]), (450,245,[1_1|2]), (450,261,[3_1|2]), (450,269,[3_1|2]), (451,452,[3_1|3]), (452,453,[4_1|3]), (453,454,[1_1|3]), (454,186,[2_1|3]), (455,456,[3_1|3]), (456,457,[3_1|3]), (457,458,[1_1|3]), (458,459,[3_1|3]), (459,292,[4_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)