/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 44 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 84 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: 5(4(2(x1))) -> 5(5(4(4(3(4(0(1(0(1(x1)))))))))) 5(4(5(x1))) -> 0(0(4(1(5(0(5(1(1(4(x1)))))))))) 5(4(5(x1))) -> 0(0(5(1(0(0(2(1(0(3(x1)))))))))) 5(4(5(x1))) -> 0(3(3(0(1(3(0(5(0(1(x1)))))))))) 1(4(2(1(x1)))) -> 1(0(1(3(2(0(1(4(1(1(x1)))))))))) 4(0(5(4(x1)))) -> 4(0(4(4(1(3(3(3(5(4(x1)))))))))) 4(5(3(5(x1)))) -> 3(4(1(4(4(0(2(1(3(2(x1)))))))))) 1(0(4(5(2(x1))))) -> 1(4(1(0(3(3(1(4(0(1(x1)))))))))) 2(5(4(2(4(x1))))) -> 2(3(2(0(5(0(4(2(0(4(x1)))))))))) 4(0(5(4(5(x1))))) -> 1(3(4(5(5(0(0(0(1(1(x1)))))))))) 5(3(5(3(5(x1))))) -> 0(5(5(2(4(1(3(2(5(2(x1)))))))))) 0(1(3(5(4(0(x1)))))) -> 5(0(3(4(0(3(2(5(0(2(x1)))))))))) 1(0(4(3(5(2(x1)))))) -> 1(1(5(3(3(4(4(2(2(2(x1)))))))))) 2(0(4(5(2(1(x1)))))) -> 3(0(3(3(2(5(0(4(3(4(x1)))))))))) 2(2(5(4(1(2(x1)))))) -> 3(3(0(0(5(2(4(5(1(2(x1)))))))))) 2(4(0(5(5(4(x1)))))) -> 0(3(1(1(2(0(1(3(4(3(x1)))))))))) 2(4(5(5(4(0(x1)))))) -> 0(2(3(1(3(4(4(4(0(5(x1)))))))))) 3(0(4(5(4(2(x1)))))) -> 1(2(3(3(2(0(3(3(4(0(x1)))))))))) 4(2(4(1(2(5(x1)))))) -> 3(4(0(5(0(5(1(4(1(5(x1)))))))))) 5(0(5(4(0(5(x1)))))) -> 0(0(4(0(4(0(3(1(3(2(x1)))))))))) 5(2(5(2(2(4(x1)))))) -> 5(5(0(2(5(1(0(5(2(4(x1)))))))))) 5(2(5(4(1(0(x1)))))) -> 5(1(1(5(2(1(0(1(3(2(x1)))))))))) 5(3(0(4(2(1(x1)))))) -> 5(2(1(0(2(5(4(4(1(1(x1)))))))))) 5(4(2(0(4(0(x1)))))) -> 0(1(1(1(1(4(0(2(5(1(x1)))))))))) 5(4(2(2(3(0(x1)))))) -> 0(1(1(4(2(1(1(5(1(0(x1)))))))))) 0(4(0(3(5(3(0(x1))))))) -> 5(1(2(4(5(3(4(2(5(0(x1)))))))))) 0(4(2(4(2(4(2(x1))))))) -> 1(4(5(1(2(3(1(2(0(1(x1)))))))))) 0(4(2(5(2(2(5(x1))))))) -> 1(4(2(5(3(0(3(1(2(5(x1)))))))))) 0(4(3(0(2(1(5(x1))))))) -> 0(2(0(3(1(5(4(4(2(0(x1)))))))))) 0(4(5(2(5(4(2(x1))))))) -> 1(4(3(1(1(1(4(2(0(1(x1)))))))))) 1(0(4(5(4(3(5(x1))))))) -> 1(2(4(4(3(0(5(3(2(0(x1)))))))))) 2(2(2(5(4(5(5(x1))))))) -> 1(4(1(0(3(5(0(0(5(5(x1)))))))))) 2(2(5(4(1(4(0(x1))))))) -> 3(1(5(2(3(2(3(2(1(4(x1)))))))))) 2(5(4(0(5(5(4(x1))))))) -> 2(0(1(2(0(5(0(4(0(3(x1)))))))))) 2(5(4(3(5(4(5(x1))))))) -> 2(0(0(0(2(3(4(5(5(1(x1)))))))))) 4(1(2(4(2(2(5(x1))))))) -> 4(2(2(2(0(4(1(0(2(5(x1)))))))))) 5(2(3(1(0(4(0(x1))))))) -> 0(2(5(3(4(0(3(5(1(0(x1)))))))))) 5(5(3(0(4(3(0(x1))))))) -> 0(1(0(4(0(2(1(1(5(0(x1)))))))))) 5(5(4(2(4(0(5(x1))))))) -> 3(4(5(5(2(4(3(0(1(0(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(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: 5(4(2(x1))) -> 5(5(4(4(3(4(0(1(0(1(x1)))))))))) 5(4(5(x1))) -> 0(0(4(1(5(0(5(1(1(4(x1)))))))))) 5(4(5(x1))) -> 0(0(5(1(0(0(2(1(0(3(x1)))))))))) 5(4(5(x1))) -> 0(3(3(0(1(3(0(5(0(1(x1)))))))))) 1(4(2(1(x1)))) -> 1(0(1(3(2(0(1(4(1(1(x1)))))))))) 4(0(5(4(x1)))) -> 4(0(4(4(1(3(3(3(5(4(x1)))))))))) 4(5(3(5(x1)))) -> 3(4(1(4(4(0(2(1(3(2(x1)))))))))) 1(0(4(5(2(x1))))) -> 1(4(1(0(3(3(1(4(0(1(x1)))))))))) 2(5(4(2(4(x1))))) -> 2(3(2(0(5(0(4(2(0(4(x1)))))))))) 4(0(5(4(5(x1))))) -> 1(3(4(5(5(0(0(0(1(1(x1)))))))))) 5(3(5(3(5(x1))))) -> 0(5(5(2(4(1(3(2(5(2(x1)))))))))) 0(1(3(5(4(0(x1)))))) -> 5(0(3(4(0(3(2(5(0(2(x1)))))))))) 1(0(4(3(5(2(x1)))))) -> 1(1(5(3(3(4(4(2(2(2(x1)))))))))) 2(0(4(5(2(1(x1)))))) -> 3(0(3(3(2(5(0(4(3(4(x1)))))))))) 2(2(5(4(1(2(x1)))))) -> 3(3(0(0(5(2(4(5(1(2(x1)))))))))) 2(4(0(5(5(4(x1)))))) -> 0(3(1(1(2(0(1(3(4(3(x1)))))))))) 2(4(5(5(4(0(x1)))))) -> 0(2(3(1(3(4(4(4(0(5(x1)))))))))) 3(0(4(5(4(2(x1)))))) -> 1(2(3(3(2(0(3(3(4(0(x1)))))))))) 4(2(4(1(2(5(x1)))))) -> 3(4(0(5(0(5(1(4(1(5(x1)))))))))) 5(0(5(4(0(5(x1)))))) -> 0(0(4(0(4(0(3(1(3(2(x1)))))))))) 5(2(5(2(2(4(x1)))))) -> 5(5(0(2(5(1(0(5(2(4(x1)))))))))) 5(2(5(4(1(0(x1)))))) -> 5(1(1(5(2(1(0(1(3(2(x1)))))))))) 5(3(0(4(2(1(x1)))))) -> 5(2(1(0(2(5(4(4(1(1(x1)))))))))) 5(4(2(0(4(0(x1)))))) -> 0(1(1(1(1(4(0(2(5(1(x1)))))))))) 5(4(2(2(3(0(x1)))))) -> 0(1(1(4(2(1(1(5(1(0(x1)))))))))) 0(4(0(3(5(3(0(x1))))))) -> 5(1(2(4(5(3(4(2(5(0(x1)))))))))) 0(4(2(4(2(4(2(x1))))))) -> 1(4(5(1(2(3(1(2(0(1(x1)))))))))) 0(4(2(5(2(2(5(x1))))))) -> 1(4(2(5(3(0(3(1(2(5(x1)))))))))) 0(4(3(0(2(1(5(x1))))))) -> 0(2(0(3(1(5(4(4(2(0(x1)))))))))) 0(4(5(2(5(4(2(x1))))))) -> 1(4(3(1(1(1(4(2(0(1(x1)))))))))) 1(0(4(5(4(3(5(x1))))))) -> 1(2(4(4(3(0(5(3(2(0(x1)))))))))) 2(2(2(5(4(5(5(x1))))))) -> 1(4(1(0(3(5(0(0(5(5(x1)))))))))) 2(2(5(4(1(4(0(x1))))))) -> 3(1(5(2(3(2(3(2(1(4(x1)))))))))) 2(5(4(0(5(5(4(x1))))))) -> 2(0(1(2(0(5(0(4(0(3(x1)))))))))) 2(5(4(3(5(4(5(x1))))))) -> 2(0(0(0(2(3(4(5(5(1(x1)))))))))) 4(1(2(4(2(2(5(x1))))))) -> 4(2(2(2(0(4(1(0(2(5(x1)))))))))) 5(2(3(1(0(4(0(x1))))))) -> 0(2(5(3(4(0(3(5(1(0(x1)))))))))) 5(5(3(0(4(3(0(x1))))))) -> 0(1(0(4(0(2(1(1(5(0(x1)))))))))) 5(5(4(2(4(0(5(x1))))))) -> 3(4(5(5(2(4(3(0(1(0(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(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: 5(4(2(x1))) -> 5(5(4(4(3(4(0(1(0(1(x1)))))))))) 5(4(5(x1))) -> 0(0(4(1(5(0(5(1(1(4(x1)))))))))) 5(4(5(x1))) -> 0(0(5(1(0(0(2(1(0(3(x1)))))))))) 5(4(5(x1))) -> 0(3(3(0(1(3(0(5(0(1(x1)))))))))) 1(4(2(1(x1)))) -> 1(0(1(3(2(0(1(4(1(1(x1)))))))))) 4(0(5(4(x1)))) -> 4(0(4(4(1(3(3(3(5(4(x1)))))))))) 4(5(3(5(x1)))) -> 3(4(1(4(4(0(2(1(3(2(x1)))))))))) 1(0(4(5(2(x1))))) -> 1(4(1(0(3(3(1(4(0(1(x1)))))))))) 2(5(4(2(4(x1))))) -> 2(3(2(0(5(0(4(2(0(4(x1)))))))))) 4(0(5(4(5(x1))))) -> 1(3(4(5(5(0(0(0(1(1(x1)))))))))) 5(3(5(3(5(x1))))) -> 0(5(5(2(4(1(3(2(5(2(x1)))))))))) 0(1(3(5(4(0(x1)))))) -> 5(0(3(4(0(3(2(5(0(2(x1)))))))))) 1(0(4(3(5(2(x1)))))) -> 1(1(5(3(3(4(4(2(2(2(x1)))))))))) 2(0(4(5(2(1(x1)))))) -> 3(0(3(3(2(5(0(4(3(4(x1)))))))))) 2(2(5(4(1(2(x1)))))) -> 3(3(0(0(5(2(4(5(1(2(x1)))))))))) 2(4(0(5(5(4(x1)))))) -> 0(3(1(1(2(0(1(3(4(3(x1)))))))))) 2(4(5(5(4(0(x1)))))) -> 0(2(3(1(3(4(4(4(0(5(x1)))))))))) 3(0(4(5(4(2(x1)))))) -> 1(2(3(3(2(0(3(3(4(0(x1)))))))))) 4(2(4(1(2(5(x1)))))) -> 3(4(0(5(0(5(1(4(1(5(x1)))))))))) 5(0(5(4(0(5(x1)))))) -> 0(0(4(0(4(0(3(1(3(2(x1)))))))))) 5(2(5(2(2(4(x1)))))) -> 5(5(0(2(5(1(0(5(2(4(x1)))))))))) 5(2(5(4(1(0(x1)))))) -> 5(1(1(5(2(1(0(1(3(2(x1)))))))))) 5(3(0(4(2(1(x1)))))) -> 5(2(1(0(2(5(4(4(1(1(x1)))))))))) 5(4(2(0(4(0(x1)))))) -> 0(1(1(1(1(4(0(2(5(1(x1)))))))))) 5(4(2(2(3(0(x1)))))) -> 0(1(1(4(2(1(1(5(1(0(x1)))))))))) 0(4(0(3(5(3(0(x1))))))) -> 5(1(2(4(5(3(4(2(5(0(x1)))))))))) 0(4(2(4(2(4(2(x1))))))) -> 1(4(5(1(2(3(1(2(0(1(x1)))))))))) 0(4(2(5(2(2(5(x1))))))) -> 1(4(2(5(3(0(3(1(2(5(x1)))))))))) 0(4(3(0(2(1(5(x1))))))) -> 0(2(0(3(1(5(4(4(2(0(x1)))))))))) 0(4(5(2(5(4(2(x1))))))) -> 1(4(3(1(1(1(4(2(0(1(x1)))))))))) 1(0(4(5(4(3(5(x1))))))) -> 1(2(4(4(3(0(5(3(2(0(x1)))))))))) 2(2(2(5(4(5(5(x1))))))) -> 1(4(1(0(3(5(0(0(5(5(x1)))))))))) 2(2(5(4(1(4(0(x1))))))) -> 3(1(5(2(3(2(3(2(1(4(x1)))))))))) 2(5(4(0(5(5(4(x1))))))) -> 2(0(1(2(0(5(0(4(0(3(x1)))))))))) 2(5(4(3(5(4(5(x1))))))) -> 2(0(0(0(2(3(4(5(5(1(x1)))))))))) 4(1(2(4(2(2(5(x1))))))) -> 4(2(2(2(0(4(1(0(2(5(x1)))))))))) 5(2(3(1(0(4(0(x1))))))) -> 0(2(5(3(4(0(3(5(1(0(x1)))))))))) 5(5(3(0(4(3(0(x1))))))) -> 0(1(0(4(0(2(1(1(5(0(x1)))))))))) 5(5(4(2(4(0(5(x1))))))) -> 3(4(5(5(2(4(3(0(1(0(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(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: 5(4(2(x1))) -> 5(5(4(4(3(4(0(1(0(1(x1)))))))))) 5(4(5(x1))) -> 0(0(4(1(5(0(5(1(1(4(x1)))))))))) 5(4(5(x1))) -> 0(0(5(1(0(0(2(1(0(3(x1)))))))))) 5(4(5(x1))) -> 0(3(3(0(1(3(0(5(0(1(x1)))))))))) 1(4(2(1(x1)))) -> 1(0(1(3(2(0(1(4(1(1(x1)))))))))) 4(0(5(4(x1)))) -> 4(0(4(4(1(3(3(3(5(4(x1)))))))))) 4(5(3(5(x1)))) -> 3(4(1(4(4(0(2(1(3(2(x1)))))))))) 1(0(4(5(2(x1))))) -> 1(4(1(0(3(3(1(4(0(1(x1)))))))))) 2(5(4(2(4(x1))))) -> 2(3(2(0(5(0(4(2(0(4(x1)))))))))) 4(0(5(4(5(x1))))) -> 1(3(4(5(5(0(0(0(1(1(x1)))))))))) 5(3(5(3(5(x1))))) -> 0(5(5(2(4(1(3(2(5(2(x1)))))))))) 0(1(3(5(4(0(x1)))))) -> 5(0(3(4(0(3(2(5(0(2(x1)))))))))) 1(0(4(3(5(2(x1)))))) -> 1(1(5(3(3(4(4(2(2(2(x1)))))))))) 2(0(4(5(2(1(x1)))))) -> 3(0(3(3(2(5(0(4(3(4(x1)))))))))) 2(2(5(4(1(2(x1)))))) -> 3(3(0(0(5(2(4(5(1(2(x1)))))))))) 2(4(0(5(5(4(x1)))))) -> 0(3(1(1(2(0(1(3(4(3(x1)))))))))) 2(4(5(5(4(0(x1)))))) -> 0(2(3(1(3(4(4(4(0(5(x1)))))))))) 3(0(4(5(4(2(x1)))))) -> 1(2(3(3(2(0(3(3(4(0(x1)))))))))) 4(2(4(1(2(5(x1)))))) -> 3(4(0(5(0(5(1(4(1(5(x1)))))))))) 5(0(5(4(0(5(x1)))))) -> 0(0(4(0(4(0(3(1(3(2(x1)))))))))) 5(2(5(2(2(4(x1)))))) -> 5(5(0(2(5(1(0(5(2(4(x1)))))))))) 5(2(5(4(1(0(x1)))))) -> 5(1(1(5(2(1(0(1(3(2(x1)))))))))) 5(3(0(4(2(1(x1)))))) -> 5(2(1(0(2(5(4(4(1(1(x1)))))))))) 5(4(2(0(4(0(x1)))))) -> 0(1(1(1(1(4(0(2(5(1(x1)))))))))) 5(4(2(2(3(0(x1)))))) -> 0(1(1(4(2(1(1(5(1(0(x1)))))))))) 0(4(0(3(5(3(0(x1))))))) -> 5(1(2(4(5(3(4(2(5(0(x1)))))))))) 0(4(2(4(2(4(2(x1))))))) -> 1(4(5(1(2(3(1(2(0(1(x1)))))))))) 0(4(2(5(2(2(5(x1))))))) -> 1(4(2(5(3(0(3(1(2(5(x1)))))))))) 0(4(3(0(2(1(5(x1))))))) -> 0(2(0(3(1(5(4(4(2(0(x1)))))))))) 0(4(5(2(5(4(2(x1))))))) -> 1(4(3(1(1(1(4(2(0(1(x1)))))))))) 1(0(4(5(4(3(5(x1))))))) -> 1(2(4(4(3(0(5(3(2(0(x1)))))))))) 2(2(2(5(4(5(5(x1))))))) -> 1(4(1(0(3(5(0(0(5(5(x1)))))))))) 2(2(5(4(1(4(0(x1))))))) -> 3(1(5(2(3(2(3(2(1(4(x1)))))))))) 2(5(4(0(5(5(4(x1))))))) -> 2(0(1(2(0(5(0(4(0(3(x1)))))))))) 2(5(4(3(5(4(5(x1))))))) -> 2(0(0(0(2(3(4(5(5(1(x1)))))))))) 4(1(2(4(2(2(5(x1))))))) -> 4(2(2(2(0(4(1(0(2(5(x1)))))))))) 5(2(3(1(0(4(0(x1))))))) -> 0(2(5(3(4(0(3(5(1(0(x1)))))))))) 5(5(3(0(4(3(0(x1))))))) -> 0(1(0(4(0(2(1(1(5(0(x1)))))))))) 5(5(4(2(4(0(5(x1))))))) -> 3(4(5(5(2(4(3(0(1(0(x1)))))))))) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(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. "[122, 123, 124, 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, 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] {(122,123,[5_1|0, 1_1|0, 4_1|0, 2_1|0, 0_1|0, 3_1|0, encArg_1|0, encode_5_1|0, encode_4_1|0, encode_2_1|0, encode_3_1|0, encode_0_1|0, encode_1_1|0]), (122,124,[5_1|1, 1_1|1, 4_1|1, 2_1|1, 0_1|1, 3_1|1]), (122,138,[5_1|2]), (122,147,[0_1|2]), (122,156,[0_1|2]), (122,165,[0_1|2]), (122,174,[0_1|2]), (122,183,[0_1|2]), (122,192,[0_1|2]), (122,201,[5_1|2]), (122,210,[0_1|2]), (122,219,[5_1|2]), (122,228,[5_1|2]), (122,237,[0_1|2]), (122,246,[0_1|2]), (122,255,[3_1|2]), (122,264,[1_1|2]), (122,273,[1_1|2]), (122,282,[1_1|2]), (122,291,[1_1|2]), (122,300,[4_1|2]), (122,309,[1_1|2]), (122,318,[3_1|2]), (122,327,[3_1|2]), (122,336,[4_1|2]), (122,345,[2_1|2]), (122,354,[2_1|2]), (122,363,[2_1|2]), (122,372,[3_1|2]), (122,381,[3_1|2]), (122,390,[3_1|2]), (122,399,[1_1|2]), (122,408,[0_1|2]), (122,417,[0_1|2]), (122,426,[5_1|2]), (122,435,[5_1|2]), (122,444,[1_1|2]), (122,453,[1_1|2]), (122,462,[0_1|2]), (122,471,[1_1|2]), (122,480,[1_1|2]), (123,123,[cons_5_1|0, cons_1_1|0, cons_4_1|0, cons_2_1|0, cons_0_1|0, cons_3_1|0]), (124,123,[encArg_1|1]), (124,124,[5_1|1, 1_1|1, 4_1|1, 2_1|1, 0_1|1, 3_1|1]), (124,138,[5_1|2]), (124,147,[0_1|2]), (124,156,[0_1|2]), (124,165,[0_1|2]), (124,174,[0_1|2]), (124,183,[0_1|2]), (124,192,[0_1|2]), (124,201,[5_1|2]), (124,210,[0_1|2]), (124,219,[5_1|2]), (124,228,[5_1|2]), (124,237,[0_1|2]), (124,246,[0_1|2]), (124,255,[3_1|2]), (124,264,[1_1|2]), (124,273,[1_1|2]), (124,282,[1_1|2]), (124,291,[1_1|2]), (124,300,[4_1|2]), (124,309,[1_1|2]), (124,318,[3_1|2]), (124,327,[3_1|2]), (124,336,[4_1|2]), (124,345,[2_1|2]), (124,354,[2_1|2]), (124,363,[2_1|2]), (124,372,[3_1|2]), (124,381,[3_1|2]), (124,390,[3_1|2]), (124,399,[1_1|2]), (124,408,[0_1|2]), (124,417,[0_1|2]), (124,426,[5_1|2]), (124,435,[5_1|2]), (124,444,[1_1|2]), (124,453,[1_1|2]), (124,462,[0_1|2]), (124,471,[1_1|2]), (124,480,[1_1|2]), (138,139,[5_1|2]), (139,140,[4_1|2]), (140,141,[4_1|2]), (141,142,[3_1|2]), (142,143,[4_1|2]), (143,144,[0_1|2]), (144,145,[1_1|2]), (145,146,[0_1|2]), (145,426,[5_1|2]), (146,124,[1_1|2]), (146,345,[1_1|2]), (146,354,[1_1|2]), (146,363,[1_1|2]), (146,337,[1_1|2]), (146,264,[1_1|2]), (146,273,[1_1|2]), (146,282,[1_1|2]), (146,291,[1_1|2]), (147,148,[1_1|2]), (148,149,[1_1|2]), (149,150,[1_1|2]), (150,151,[1_1|2]), (151,152,[4_1|2]), (152,153,[0_1|2]), (153,154,[2_1|2]), (154,155,[5_1|2]), (155,124,[1_1|2]), (155,147,[1_1|2]), (155,156,[1_1|2]), (155,165,[1_1|2]), (155,174,[1_1|2]), (155,183,[1_1|2]), (155,192,[1_1|2]), (155,210,[1_1|2]), (155,237,[1_1|2]), (155,246,[1_1|2]), (155,408,[1_1|2]), (155,417,[1_1|2]), (155,462,[1_1|2]), (155,301,[1_1|2]), (155,264,[1_1|2]), (155,273,[1_1|2]), (155,282,[1_1|2]), (155,291,[1_1|2]), (156,157,[1_1|2]), (157,158,[1_1|2]), (157,502,[1_1|3]), (158,159,[4_1|2]), (159,160,[2_1|2]), (160,161,[1_1|2]), (161,162,[1_1|2]), (162,163,[5_1|2]), (163,164,[1_1|2]), (163,273,[1_1|2]), (163,282,[1_1|2]), (163,291,[1_1|2]), (164,124,[0_1|2]), (164,147,[0_1|2]), (164,156,[0_1|2]), (164,165,[0_1|2]), (164,174,[0_1|2]), (164,183,[0_1|2]), (164,192,[0_1|2]), (164,210,[0_1|2]), (164,237,[0_1|2]), (164,246,[0_1|2]), (164,408,[0_1|2]), (164,417,[0_1|2]), (164,462,[0_1|2]), (164,373,[0_1|2]), (164,426,[5_1|2]), (164,435,[5_1|2]), (164,444,[1_1|2]), (164,453,[1_1|2]), (164,471,[1_1|2]), (165,166,[0_1|2]), (166,167,[4_1|2]), (167,168,[1_1|2]), (168,169,[5_1|2]), (169,170,[0_1|2]), (170,171,[5_1|2]), (171,172,[1_1|2]), (172,173,[1_1|2]), (172,264,[1_1|2]), (172,574,[1_1|3]), (173,124,[4_1|2]), (173,138,[4_1|2]), (173,201,[4_1|2]), (173,219,[4_1|2]), (173,228,[4_1|2]), (173,426,[4_1|2]), (173,435,[4_1|2]), (173,300,[4_1|2]), (173,309,[1_1|2]), (173,318,[3_1|2]), (173,327,[3_1|2]), (173,336,[4_1|2]), (174,175,[0_1|2]), (175,176,[5_1|2]), (176,177,[1_1|2]), (177,178,[0_1|2]), (178,179,[0_1|2]), (179,180,[2_1|2]), (180,181,[1_1|2]), (181,182,[0_1|2]), (182,124,[3_1|2]), (182,138,[3_1|2]), (182,201,[3_1|2]), (182,219,[3_1|2]), (182,228,[3_1|2]), (182,426,[3_1|2]), (182,435,[3_1|2]), (182,480,[1_1|2]), (183,184,[3_1|2]), (184,185,[3_1|2]), (185,186,[0_1|2]), (186,187,[1_1|2]), (187,188,[3_1|2]), (188,189,[0_1|2]), (189,190,[5_1|2]), (190,191,[0_1|2]), (190,426,[5_1|2]), (191,124,[1_1|2]), (191,138,[1_1|2]), (191,201,[1_1|2]), (191,219,[1_1|2]), (191,228,[1_1|2]), (191,426,[1_1|2]), (191,435,[1_1|2]), (191,264,[1_1|2]), (191,273,[1_1|2]), (191,282,[1_1|2]), (191,291,[1_1|2]), (192,193,[5_1|2]), (193,194,[5_1|2]), (194,195,[2_1|2]), (195,196,[4_1|2]), (196,197,[1_1|2]), (197,198,[3_1|2]), (198,199,[2_1|2]), (199,200,[5_1|2]), (199,219,[5_1|2]), (199,228,[5_1|2]), (199,237,[0_1|2]), (200,124,[2_1|2]), (200,138,[2_1|2]), (200,201,[2_1|2]), (200,219,[2_1|2]), (200,228,[2_1|2]), (200,426,[2_1|2]), (200,435,[2_1|2]), (200,345,[2_1|2]), (200,354,[2_1|2]), (200,363,[2_1|2]), (200,372,[3_1|2]), (200,381,[3_1|2]), (200,390,[3_1|2]), (200,399,[1_1|2]), (200,408,[0_1|2]), (200,417,[0_1|2]), (201,202,[2_1|2]), (202,203,[1_1|2]), (203,204,[0_1|2]), (204,205,[2_1|2]), (205,206,[5_1|2]), (206,207,[4_1|2]), (207,208,[4_1|2]), (208,209,[1_1|2]), (209,124,[1_1|2]), (209,264,[1_1|2]), (209,273,[1_1|2]), (209,282,[1_1|2]), (209,291,[1_1|2]), (209,309,[1_1|2]), (209,399,[1_1|2]), (209,444,[1_1|2]), (209,453,[1_1|2]), (209,471,[1_1|2]), (209,480,[1_1|2]), (210,211,[0_1|2]), (211,212,[4_1|2]), (212,213,[0_1|2]), (213,214,[4_1|2]), (214,215,[0_1|2]), (215,216,[3_1|2]), (216,217,[1_1|2]), (217,218,[3_1|2]), (218,124,[2_1|2]), (218,138,[2_1|2]), (218,201,[2_1|2]), (218,219,[2_1|2]), (218,228,[2_1|2]), (218,426,[2_1|2]), (218,435,[2_1|2]), (218,193,[2_1|2]), (218,345,[2_1|2]), (218,354,[2_1|2]), (218,363,[2_1|2]), (218,372,[3_1|2]), (218,381,[3_1|2]), (218,390,[3_1|2]), (218,399,[1_1|2]), (218,408,[0_1|2]), (218,417,[0_1|2]), (219,220,[5_1|2]), (220,221,[0_1|2]), (221,222,[2_1|2]), (222,223,[5_1|2]), (223,224,[1_1|2]), (224,225,[0_1|2]), (225,226,[5_1|2]), (226,227,[2_1|2]), (226,408,[0_1|2]), (226,417,[0_1|2]), (227,124,[4_1|2]), (227,300,[4_1|2]), (227,336,[4_1|2]), (227,309,[1_1|2]), (227,318,[3_1|2]), (227,327,[3_1|2]), (228,229,[1_1|2]), (229,230,[1_1|2]), (230,231,[5_1|2]), (231,232,[2_1|2]), (232,233,[1_1|2]), (233,234,[0_1|2]), (234,235,[1_1|2]), (235,236,[3_1|2]), (236,124,[2_1|2]), (236,147,[2_1|2]), (236,156,[2_1|2]), (236,165,[2_1|2]), (236,174,[2_1|2]), (236,183,[2_1|2]), (236,192,[2_1|2]), (236,210,[2_1|2]), (236,237,[2_1|2]), (236,246,[2_1|2]), (236,408,[2_1|2, 0_1|2]), (236,417,[2_1|2, 0_1|2]), (236,462,[2_1|2]), (236,265,[2_1|2]), (236,345,[2_1|2]), (236,354,[2_1|2]), (236,363,[2_1|2]), (236,372,[3_1|2]), (236,381,[3_1|2]), (236,390,[3_1|2]), (236,399,[1_1|2]), (237,238,[2_1|2]), (238,239,[5_1|2]), (239,240,[3_1|2]), (240,241,[4_1|2]), (241,242,[0_1|2]), (242,243,[3_1|2]), (243,244,[5_1|2]), (244,245,[1_1|2]), 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(481,482,[3_1|2]), (482,483,[3_1|2]), (483,484,[2_1|2]), (484,485,[0_1|2]), (485,486,[3_1|2]), (486,487,[3_1|2]), (487,488,[4_1|2]), (487,300,[4_1|2]), (487,309,[1_1|2]), (488,124,[0_1|2]), (488,345,[0_1|2]), (488,354,[0_1|2]), (488,363,[0_1|2]), (488,337,[0_1|2]), (488,426,[5_1|2]), (488,435,[5_1|2]), (488,444,[1_1|2]), (488,453,[1_1|2]), (488,462,[0_1|2]), (488,471,[1_1|2]), (502,503,[0_1|3]), (503,504,[1_1|3]), (504,505,[3_1|3]), (505,506,[2_1|3]), (506,507,[0_1|3]), (507,508,[1_1|3]), (508,509,[4_1|3]), (509,510,[1_1|3]), (510,161,[1_1|3]), (511,512,[0_1|3]), (512,513,[4_1|3]), (513,514,[1_1|3]), (514,515,[5_1|3]), (515,516,[0_1|3]), (516,517,[5_1|3]), (517,518,[1_1|3]), (518,519,[1_1|3]), (518,574,[1_1|3]), (519,138,[4_1|3]), (519,201,[4_1|3]), (519,219,[4_1|3]), (519,228,[4_1|3]), (519,426,[4_1|3]), (519,435,[4_1|3]), (520,521,[0_1|3]), (521,522,[5_1|3]), (522,523,[1_1|3]), (523,524,[0_1|3]), (524,525,[0_1|3]), (525,526,[2_1|3]), (526,527,[1_1|3]), (527,528,[0_1|3]), (528,138,[3_1|3]), (528,201,[3_1|3]), (528,219,[3_1|3]), (528,228,[3_1|3]), (528,426,[3_1|3]), (528,435,[3_1|3]), (529,530,[3_1|3]), (530,531,[3_1|3]), (531,532,[0_1|3]), (532,533,[1_1|3]), (533,534,[3_1|3]), (534,535,[0_1|3]), (535,536,[5_1|3]), (536,537,[0_1|3]), (537,138,[1_1|3]), (537,201,[1_1|3]), (537,219,[1_1|3]), (537,228,[1_1|3]), (537,426,[1_1|3]), (537,435,[1_1|3]), (538,539,[5_1|3]), (539,540,[4_1|3]), (540,541,[4_1|3]), (541,542,[3_1|3]), (542,543,[4_1|3]), (543,544,[0_1|3]), (544,545,[1_1|3]), (545,546,[0_1|3]), (546,345,[1_1|3]), (546,354,[1_1|3]), (546,363,[1_1|3]), (546,337,[1_1|3]), (547,548,[5_1|3]), (548,549,[4_1|3]), (549,550,[4_1|3]), (550,551,[3_1|3]), (551,552,[4_1|3]), (552,553,[0_1|3]), (553,554,[1_1|3]), (554,555,[0_1|3]), (555,337,[1_1|3]), (556,557,[0_1|3]), (557,558,[3_1|3]), (558,559,[3_1|3]), (559,560,[2_1|3]), (560,561,[5_1|3]), (561,562,[0_1|3]), (562,563,[4_1|3]), (563,564,[3_1|3]), (564,203,[4_1|3]), (565,566,[0_1|3]), (566,567,[4_1|3]), (567,568,[4_1|3]), (568,569,[1_1|3]), (569,570,[3_1|3]), (570,571,[3_1|3]), (571,572,[3_1|3]), (572,573,[5_1|3]), (572,547,[5_1|3]), (573,300,[4_1|3]), (573,336,[4_1|3]), (573,302,[4_1|3]), (574,575,[0_1|3]), (575,576,[1_1|3]), (576,577,[3_1|3]), (577,578,[2_1|3]), (578,579,[0_1|3]), (579,580,[1_1|3]), (580,581,[4_1|3]), (581,582,[1_1|3]), (582,203,[1_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)