/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 45 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 100 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(1(2(3(x1)))) -> 2(3(3(x1))) 2(3(4(1(5(x1))))) -> 2(5(0(3(2(x1))))) 3(2(3(2(1(5(x1)))))) -> 3(2(0(0(3(0(x1)))))) 0(0(4(1(4(3(2(x1))))))) -> 5(5(3(3(0(1(x1)))))) 5(1(2(1(0(0(3(2(x1)))))))) -> 5(1(0(2(1(0(3(2(x1)))))))) 4(3(2(4(0(2(0(5(2(x1))))))))) -> 0(5(1(1(2(2(1(2(x1)))))))) 2(0(3(1(4(2(5(2(4(5(x1)))))))))) -> 5(5(4(5(5(5(2(5(0(x1))))))))) 2(4(4(0(5(0(1(0(4(1(2(x1))))))))))) -> 2(4(1(3(4(0(2(0(2(5(2(x1))))))))))) 3(5(3(1(4(4(5(5(4(2(1(x1))))))))))) -> 3(3(5(2(3(4(5(4(3(0(1(x1))))))))))) 5(0(0(5(2(5(4(1(0(2(1(x1))))))))))) -> 5(4(5(4(5(1(1(1(3(2(x1)))))))))) 4(1(4(3(3(2(3(0(1(3(5(1(x1)))))))))))) -> 2(1(5(3(5(5(5(2(2(3(2(1(x1)))))))))))) 5(4(0(4(0(4(2(2(5(5(4(5(x1)))))))))))) -> 5(4(5(2(5(3(2(2(5(1(4(5(x1)))))))))))) 5(4(2(5(0(3(1(4(3(0(1(4(1(x1))))))))))))) -> 5(4(4(2(5(0(2(5(5(3(2(2(1(x1))))))))))))) 3(4(4(1(0(2(3(3(1(4(5(5(5(3(x1)))))))))))))) -> 1(3(4(5(5(3(0(2(2(1(3(2(3(3(x1)))))))))))))) 5(2(5(1(5(0(4(3(2(2(2(3(0(4(0(x1))))))))))))))) -> 5(4(3(4(0(3(2(2(1(3(4(4(5(4(4(x1))))))))))))))) 0(5(2(1(1(1(3(4(1(0(4(5(5(4(2(5(x1)))))))))))))))) -> 0(2(2(3(3(1(3(2(1(4(1(0(0(0(2(5(x1)))))))))))))))) 5(2(4(5(2(1(5(2(4(1(0(3(3(0(0(2(x1)))))))))))))))) -> 2(2(2(0(3(0(5(0(3(2(4(4(4(0(1(3(x1)))))))))))))))) 0(1(0(2(3(5(3(4(0(2(4(1(1(2(5(1(3(5(x1)))))))))))))))))) -> 0(1(3(5(2(0(5(1(2(3(5(1(2(3(3(1(4(x1))))))))))))))))) 1(0(3(4(2(4(5(2(2(4(3(3(3(3(3(2(3(5(x1)))))))))))))))))) -> 1(0(0(2(5(3(5(2(3(4(2(0(0(3(2(3(2(4(1(x1))))))))))))))))))) 2(2(0(3(5(5(1(3(3(0(0(3(0(3(4(3(5(4(x1)))))))))))))))))) -> 2(2(5(2(4(4(1(0(0(2(3(5(0(1(2(4(1(4(x1)))))))))))))))))) 3(1(2(2(4(3(3(3(5(3(4(3(1(3(0(5(2(3(x1)))))))))))))))))) -> 3(1(5(3(4(3(2(5(5(5(3(2(5(5(1(5(2(3(x1)))))))))))))))))) 5(0(2(1(2(2(1(5(1(4(2(0(3(1(5(4(4(5(x1)))))))))))))))))) -> 5(4(1(4(1(5(4(3(5(3(2(4(0(0(0(2(5(2(x1)))))))))))))))))) 4(3(1(4(5(1(3(5(1(2(0(4(2(4(3(1(5(1(0(1(x1)))))))))))))))))))) -> 5(1(3(5(3(4(4(2(2(5(1(0(0(2(4(4(2(3(0(0(1(x1))))))))))))))))))))) 1(1(2(4(5(1(4(4(1(3(1(3(1(4(4(4(3(3(4(1(2(x1))))))))))))))))))))) -> 0(4(2(2(2(2(5(1(2(1(4(4(5(1(1(0(4(5(2(3(4(x1))))))))))))))))))))) 1(4(0(2(0(0(5(1(4(4(0(3(4(2(1(4(1(5(5(1(5(x1))))))))))))))))))))) -> 1(1(3(3(2(2(2(0(5(3(4(5(3(2(1(0(1(2(4(3(4(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_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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 (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(1(2(3(x1)))) -> 2(3(3(x1))) 2(3(4(1(5(x1))))) -> 2(5(0(3(2(x1))))) 3(2(3(2(1(5(x1)))))) -> 3(2(0(0(3(0(x1)))))) 0(0(4(1(4(3(2(x1))))))) -> 5(5(3(3(0(1(x1)))))) 5(1(2(1(0(0(3(2(x1)))))))) -> 5(1(0(2(1(0(3(2(x1)))))))) 4(3(2(4(0(2(0(5(2(x1))))))))) -> 0(5(1(1(2(2(1(2(x1)))))))) 2(0(3(1(4(2(5(2(4(5(x1)))))))))) -> 5(5(4(5(5(5(2(5(0(x1))))))))) 2(4(4(0(5(0(1(0(4(1(2(x1))))))))))) -> 2(4(1(3(4(0(2(0(2(5(2(x1))))))))))) 3(5(3(1(4(4(5(5(4(2(1(x1))))))))))) -> 3(3(5(2(3(4(5(4(3(0(1(x1))))))))))) 5(0(0(5(2(5(4(1(0(2(1(x1))))))))))) -> 5(4(5(4(5(1(1(1(3(2(x1)))))))))) 4(1(4(3(3(2(3(0(1(3(5(1(x1)))))))))))) -> 2(1(5(3(5(5(5(2(2(3(2(1(x1)))))))))))) 5(4(0(4(0(4(2(2(5(5(4(5(x1)))))))))))) -> 5(4(5(2(5(3(2(2(5(1(4(5(x1)))))))))))) 5(4(2(5(0(3(1(4(3(0(1(4(1(x1))))))))))))) -> 5(4(4(2(5(0(2(5(5(3(2(2(1(x1))))))))))))) 3(4(4(1(0(2(3(3(1(4(5(5(5(3(x1)))))))))))))) -> 1(3(4(5(5(3(0(2(2(1(3(2(3(3(x1)))))))))))))) 5(2(5(1(5(0(4(3(2(2(2(3(0(4(0(x1))))))))))))))) -> 5(4(3(4(0(3(2(2(1(3(4(4(5(4(4(x1))))))))))))))) 0(5(2(1(1(1(3(4(1(0(4(5(5(4(2(5(x1)))))))))))))))) -> 0(2(2(3(3(1(3(2(1(4(1(0(0(0(2(5(x1)))))))))))))))) 5(2(4(5(2(1(5(2(4(1(0(3(3(0(0(2(x1)))))))))))))))) -> 2(2(2(0(3(0(5(0(3(2(4(4(4(0(1(3(x1)))))))))))))))) 0(1(0(2(3(5(3(4(0(2(4(1(1(2(5(1(3(5(x1)))))))))))))))))) -> 0(1(3(5(2(0(5(1(2(3(5(1(2(3(3(1(4(x1))))))))))))))))) 1(0(3(4(2(4(5(2(2(4(3(3(3(3(3(2(3(5(x1)))))))))))))))))) -> 1(0(0(2(5(3(5(2(3(4(2(0(0(3(2(3(2(4(1(x1))))))))))))))))))) 2(2(0(3(5(5(1(3(3(0(0(3(0(3(4(3(5(4(x1)))))))))))))))))) -> 2(2(5(2(4(4(1(0(0(2(3(5(0(1(2(4(1(4(x1)))))))))))))))))) 3(1(2(2(4(3(3(3(5(3(4(3(1(3(0(5(2(3(x1)))))))))))))))))) -> 3(1(5(3(4(3(2(5(5(5(3(2(5(5(1(5(2(3(x1)))))))))))))))))) 5(0(2(1(2(2(1(5(1(4(2(0(3(1(5(4(4(5(x1)))))))))))))))))) -> 5(4(1(4(1(5(4(3(5(3(2(4(0(0(0(2(5(2(x1)))))))))))))))))) 4(3(1(4(5(1(3(5(1(2(0(4(2(4(3(1(5(1(0(1(x1)))))))))))))))))))) -> 5(1(3(5(3(4(4(2(2(5(1(0(0(2(4(4(2(3(0(0(1(x1))))))))))))))))))))) 1(1(2(4(5(1(4(4(1(3(1(3(1(4(4(4(3(3(4(1(2(x1))))))))))))))))))))) -> 0(4(2(2(2(2(5(1(2(1(4(4(5(1(1(0(4(5(2(3(4(x1))))))))))))))))))))) 1(4(0(2(0(0(5(1(4(4(0(3(4(2(1(4(1(5(5(1(5(x1))))))))))))))))))))) -> 1(1(3(3(2(2(2(0(5(3(4(5(3(2(1(0(1(2(4(3(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_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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: 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(1(2(3(x1)))) -> 2(3(3(x1))) 2(3(4(1(5(x1))))) -> 2(5(0(3(2(x1))))) 3(2(3(2(1(5(x1)))))) -> 3(2(0(0(3(0(x1)))))) 0(0(4(1(4(3(2(x1))))))) -> 5(5(3(3(0(1(x1)))))) 5(1(2(1(0(0(3(2(x1)))))))) -> 5(1(0(2(1(0(3(2(x1)))))))) 4(3(2(4(0(2(0(5(2(x1))))))))) -> 0(5(1(1(2(2(1(2(x1)))))))) 2(0(3(1(4(2(5(2(4(5(x1)))))))))) -> 5(5(4(5(5(5(2(5(0(x1))))))))) 2(4(4(0(5(0(1(0(4(1(2(x1))))))))))) -> 2(4(1(3(4(0(2(0(2(5(2(x1))))))))))) 3(5(3(1(4(4(5(5(4(2(1(x1))))))))))) -> 3(3(5(2(3(4(5(4(3(0(1(x1))))))))))) 5(0(0(5(2(5(4(1(0(2(1(x1))))))))))) -> 5(4(5(4(5(1(1(1(3(2(x1)))))))))) 4(1(4(3(3(2(3(0(1(3(5(1(x1)))))))))))) -> 2(1(5(3(5(5(5(2(2(3(2(1(x1)))))))))))) 5(4(0(4(0(4(2(2(5(5(4(5(x1)))))))))))) -> 5(4(5(2(5(3(2(2(5(1(4(5(x1)))))))))))) 5(4(2(5(0(3(1(4(3(0(1(4(1(x1))))))))))))) -> 5(4(4(2(5(0(2(5(5(3(2(2(1(x1))))))))))))) 3(4(4(1(0(2(3(3(1(4(5(5(5(3(x1)))))))))))))) -> 1(3(4(5(5(3(0(2(2(1(3(2(3(3(x1)))))))))))))) 5(2(5(1(5(0(4(3(2(2(2(3(0(4(0(x1))))))))))))))) -> 5(4(3(4(0(3(2(2(1(3(4(4(5(4(4(x1))))))))))))))) 0(5(2(1(1(1(3(4(1(0(4(5(5(4(2(5(x1)))))))))))))))) -> 0(2(2(3(3(1(3(2(1(4(1(0(0(0(2(5(x1)))))))))))))))) 5(2(4(5(2(1(5(2(4(1(0(3(3(0(0(2(x1)))))))))))))))) -> 2(2(2(0(3(0(5(0(3(2(4(4(4(0(1(3(x1)))))))))))))))) 0(1(0(2(3(5(3(4(0(2(4(1(1(2(5(1(3(5(x1)))))))))))))))))) -> 0(1(3(5(2(0(5(1(2(3(5(1(2(3(3(1(4(x1))))))))))))))))) 1(0(3(4(2(4(5(2(2(4(3(3(3(3(3(2(3(5(x1)))))))))))))))))) -> 1(0(0(2(5(3(5(2(3(4(2(0(0(3(2(3(2(4(1(x1))))))))))))))))))) 2(2(0(3(5(5(1(3(3(0(0(3(0(3(4(3(5(4(x1)))))))))))))))))) -> 2(2(5(2(4(4(1(0(0(2(3(5(0(1(2(4(1(4(x1)))))))))))))))))) 3(1(2(2(4(3(3(3(5(3(4(3(1(3(0(5(2(3(x1)))))))))))))))))) -> 3(1(5(3(4(3(2(5(5(5(3(2(5(5(1(5(2(3(x1)))))))))))))))))) 5(0(2(1(2(2(1(5(1(4(2(0(3(1(5(4(4(5(x1)))))))))))))))))) -> 5(4(1(4(1(5(4(3(5(3(2(4(0(0(0(2(5(2(x1)))))))))))))))))) 4(3(1(4(5(1(3(5(1(2(0(4(2(4(3(1(5(1(0(1(x1)))))))))))))))))))) -> 5(1(3(5(3(4(4(2(2(5(1(0(0(2(4(4(2(3(0(0(1(x1))))))))))))))))))))) 1(1(2(4(5(1(4(4(1(3(1(3(1(4(4(4(3(3(4(1(2(x1))))))))))))))))))))) -> 0(4(2(2(2(2(5(1(2(1(4(4(5(1(1(0(4(5(2(3(4(x1))))))))))))))))))))) 1(4(0(2(0(0(5(1(4(4(0(3(4(2(1(4(1(5(5(1(5(x1))))))))))))))))))))) -> 1(1(3(3(2(2(2(0(5(3(4(5(3(2(1(0(1(2(4(3(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_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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: 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(1(2(3(x1)))) -> 2(3(3(x1))) 2(3(4(1(5(x1))))) -> 2(5(0(3(2(x1))))) 3(2(3(2(1(5(x1)))))) -> 3(2(0(0(3(0(x1)))))) 0(0(4(1(4(3(2(x1))))))) -> 5(5(3(3(0(1(x1)))))) 5(1(2(1(0(0(3(2(x1)))))))) -> 5(1(0(2(1(0(3(2(x1)))))))) 4(3(2(4(0(2(0(5(2(x1))))))))) -> 0(5(1(1(2(2(1(2(x1)))))))) 2(0(3(1(4(2(5(2(4(5(x1)))))))))) -> 5(5(4(5(5(5(2(5(0(x1))))))))) 2(4(4(0(5(0(1(0(4(1(2(x1))))))))))) -> 2(4(1(3(4(0(2(0(2(5(2(x1))))))))))) 3(5(3(1(4(4(5(5(4(2(1(x1))))))))))) -> 3(3(5(2(3(4(5(4(3(0(1(x1))))))))))) 5(0(0(5(2(5(4(1(0(2(1(x1))))))))))) -> 5(4(5(4(5(1(1(1(3(2(x1)))))))))) 4(1(4(3(3(2(3(0(1(3(5(1(x1)))))))))))) -> 2(1(5(3(5(5(5(2(2(3(2(1(x1)))))))))))) 5(4(0(4(0(4(2(2(5(5(4(5(x1)))))))))))) -> 5(4(5(2(5(3(2(2(5(1(4(5(x1)))))))))))) 5(4(2(5(0(3(1(4(3(0(1(4(1(x1))))))))))))) -> 5(4(4(2(5(0(2(5(5(3(2(2(1(x1))))))))))))) 3(4(4(1(0(2(3(3(1(4(5(5(5(3(x1)))))))))))))) -> 1(3(4(5(5(3(0(2(2(1(3(2(3(3(x1)))))))))))))) 5(2(5(1(5(0(4(3(2(2(2(3(0(4(0(x1))))))))))))))) -> 5(4(3(4(0(3(2(2(1(3(4(4(5(4(4(x1))))))))))))))) 0(5(2(1(1(1(3(4(1(0(4(5(5(4(2(5(x1)))))))))))))))) -> 0(2(2(3(3(1(3(2(1(4(1(0(0(0(2(5(x1)))))))))))))))) 5(2(4(5(2(1(5(2(4(1(0(3(3(0(0(2(x1)))))))))))))))) -> 2(2(2(0(3(0(5(0(3(2(4(4(4(0(1(3(x1)))))))))))))))) 0(1(0(2(3(5(3(4(0(2(4(1(1(2(5(1(3(5(x1)))))))))))))))))) -> 0(1(3(5(2(0(5(1(2(3(5(1(2(3(3(1(4(x1))))))))))))))))) 1(0(3(4(2(4(5(2(2(4(3(3(3(3(3(2(3(5(x1)))))))))))))))))) -> 1(0(0(2(5(3(5(2(3(4(2(0(0(3(2(3(2(4(1(x1))))))))))))))))))) 2(2(0(3(5(5(1(3(3(0(0(3(0(3(4(3(5(4(x1)))))))))))))))))) -> 2(2(5(2(4(4(1(0(0(2(3(5(0(1(2(4(1(4(x1)))))))))))))))))) 3(1(2(2(4(3(3(3(5(3(4(3(1(3(0(5(2(3(x1)))))))))))))))))) -> 3(1(5(3(4(3(2(5(5(5(3(2(5(5(1(5(2(3(x1)))))))))))))))))) 5(0(2(1(2(2(1(5(1(4(2(0(3(1(5(4(4(5(x1)))))))))))))))))) -> 5(4(1(4(1(5(4(3(5(3(2(4(0(0(0(2(5(2(x1)))))))))))))))))) 4(3(1(4(5(1(3(5(1(2(0(4(2(4(3(1(5(1(0(1(x1)))))))))))))))))))) -> 5(1(3(5(3(4(4(2(2(5(1(0(0(2(4(4(2(3(0(0(1(x1))))))))))))))))))))) 1(1(2(4(5(1(4(4(1(3(1(3(1(4(4(4(3(3(4(1(2(x1))))))))))))))))))))) -> 0(4(2(2(2(2(5(1(2(1(4(4(5(1(1(0(4(5(2(3(4(x1))))))))))))))))))))) 1(4(0(2(0(0(5(1(4(4(0(3(4(2(1(4(1(5(5(1(5(x1))))))))))))))))))))) -> 1(1(3(3(2(2(2(0(5(3(4(5(3(2(1(0(1(2(4(3(4(x1))))))))))))))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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: 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. "[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] {(150,151,[0_1|0, 2_1|0, 3_1|0, 5_1|0, 4_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]), (150,152,[0_1|1, 2_1|1, 3_1|1, 5_1|1, 4_1|1, 1_1|1]), (150,153,[2_1|2]), (150,155,[0_1|2]), (150,171,[5_1|2]), (150,176,[0_1|2]), (150,191,[2_1|2]), (150,195,[5_1|2]), (150,203,[2_1|2]), (150,213,[2_1|2]), (150,230,[3_1|2]), (150,235,[3_1|2]), (150,245,[1_1|2]), (150,258,[3_1|2]), (150,275,[5_1|2]), (150,282,[5_1|2]), (150,291,[5_1|2]), (150,308,[5_1|2]), (150,319,[5_1|2]), (150,331,[5_1|2]), (150,345,[2_1|2]), (150,360,[0_1|2]), (150,367,[5_1|2]), (150,387,[2_1|2]), (150,398,[1_1|2]), (150,416,[0_1|2]), (150,436,[1_1|2]), (151,151,[cons_0_1|0, cons_2_1|0, cons_3_1|0, cons_5_1|0, cons_4_1|0, cons_1_1|0]), (152,151,[encArg_1|1]), (152,152,[0_1|1, 2_1|1, 3_1|1, 5_1|1, 4_1|1, 1_1|1]), (152,153,[2_1|2]), (152,155,[0_1|2]), (152,171,[5_1|2]), (152,176,[0_1|2]), (152,191,[2_1|2]), (152,195,[5_1|2]), (152,203,[2_1|2]), (152,213,[2_1|2]), (152,230,[3_1|2]), (152,235,[3_1|2]), (152,245,[1_1|2]), (152,258,[3_1|2]), (152,275,[5_1|2]), (152,282,[5_1|2]), (152,291,[5_1|2]), (152,308,[5_1|2]), (152,319,[5_1|2]), (152,331,[5_1|2]), (152,345,[2_1|2]), (152,360,[0_1|2]), (152,367,[5_1|2]), (152,387,[2_1|2]), (152,398,[1_1|2]), (152,416,[0_1|2]), (152,436,[1_1|2]), (153,154,[3_1|2]), (154,152,[3_1|2]), (154,230,[3_1|2]), (154,235,[3_1|2]), (154,258,[3_1|2]), (154,154,[3_1|2]), (154,245,[1_1|2]), (155,156,[1_1|2]), (156,157,[3_1|2]), (157,158,[5_1|2]), (158,159,[2_1|2]), (159,160,[0_1|2]), (160,161,[5_1|2]), (161,162,[1_1|2]), (162,163,[2_1|2]), (163,164,[3_1|2]), (164,165,[5_1|2]), (165,166,[1_1|2]), (166,167,[2_1|2]), (167,168,[3_1|2]), (168,169,[3_1|2]), (169,170,[1_1|2]), (169,436,[1_1|2]), (170,152,[4_1|2]), (170,171,[4_1|2]), (170,195,[4_1|2]), (170,275,[4_1|2]), (170,282,[4_1|2]), (170,291,[4_1|2]), (170,308,[4_1|2]), (170,319,[4_1|2]), (170,331,[4_1|2]), (170,367,[4_1|2, 5_1|2]), (170,370,[4_1|2]), (170,360,[0_1|2]), (170,387,[2_1|2]), (171,172,[5_1|2]), (172,173,[3_1|2]), (173,174,[3_1|2]), (174,175,[0_1|2]), (174,153,[2_1|2]), (174,155,[0_1|2]), (174,456,[2_1|3]), (175,152,[1_1|2]), (175,153,[1_1|2]), (175,191,[1_1|2]), (175,203,[1_1|2]), (175,213,[1_1|2]), (175,345,[1_1|2]), (175,387,[1_1|2]), (175,231,[1_1|2]), (175,398,[1_1|2]), (175,416,[0_1|2]), (175,436,[1_1|2]), (176,177,[2_1|2]), (177,178,[2_1|2]), (178,179,[3_1|2]), (179,180,[3_1|2]), (180,181,[1_1|2]), (181,182,[3_1|2]), (182,183,[2_1|2]), (183,184,[1_1|2]), (184,185,[4_1|2]), (185,186,[1_1|2]), (186,187,[0_1|2]), (187,188,[0_1|2]), (188,189,[0_1|2]), (189,190,[2_1|2]), (190,152,[5_1|2]), (190,171,[5_1|2]), (190,195,[5_1|2]), (190,275,[5_1|2]), (190,282,[5_1|2]), (190,291,[5_1|2]), (190,308,[5_1|2]), (190,319,[5_1|2]), (190,331,[5_1|2]), (190,367,[5_1|2]), (190,192,[5_1|2]), (190,345,[2_1|2]), (191,192,[5_1|2]), (192,193,[0_1|2]), (193,194,[3_1|2]), (193,230,[3_1|2]), (194,152,[2_1|2]), (194,171,[2_1|2]), (194,195,[2_1|2, 5_1|2]), (194,275,[2_1|2]), (194,282,[2_1|2]), (194,291,[2_1|2]), (194,308,[2_1|2]), (194,319,[2_1|2]), (194,331,[2_1|2]), (194,367,[2_1|2]), (194,191,[2_1|2]), (194,203,[2_1|2]), (194,213,[2_1|2]), (195,196,[5_1|2]), (196,197,[4_1|2]), (197,198,[5_1|2]), (198,199,[5_1|2]), (199,200,[5_1|2]), (200,201,[2_1|2]), (201,202,[5_1|2]), (201,282,[5_1|2]), (201,291,[5_1|2]), (202,152,[0_1|2]), (202,171,[0_1|2, 5_1|2]), (202,195,[0_1|2]), (202,275,[0_1|2]), (202,282,[0_1|2]), (202,291,[0_1|2]), (202,308,[0_1|2]), (202,319,[0_1|2]), (202,331,[0_1|2]), (202,367,[0_1|2]), (202,153,[2_1|2]), (202,155,[0_1|2]), (202,176,[0_1|2]), (203,204,[4_1|2]), (204,205,[1_1|2]), (205,206,[3_1|2]), (206,207,[4_1|2]), (207,208,[0_1|2]), (208,209,[2_1|2]), (209,210,[0_1|2]), (210,211,[2_1|2]), (211,212,[5_1|2]), (211,331,[5_1|2]), (211,345,[2_1|2]), (212,152,[2_1|2]), (212,153,[2_1|2]), (212,191,[2_1|2]), (212,203,[2_1|2]), (212,213,[2_1|2]), (212,345,[2_1|2]), (212,387,[2_1|2]), (212,195,[5_1|2]), (213,214,[2_1|2]), (214,215,[5_1|2]), (215,216,[2_1|2]), (216,217,[4_1|2]), (217,218,[4_1|2]), (218,219,[1_1|2]), (219,220,[0_1|2]), (220,221,[0_1|2]), (221,222,[2_1|2]), (222,223,[3_1|2]), (223,224,[5_1|2]), (224,225,[0_1|2]), (225,226,[1_1|2]), (226,227,[2_1|2]), (227,228,[4_1|2]), (227,387,[2_1|2]), (228,229,[1_1|2]), (228,436,[1_1|2]), (229,152,[4_1|2]), (229,283,[4_1|2]), (229,292,[4_1|2]), (229,309,[4_1|2]), (229,320,[4_1|2]), (229,332,[4_1|2]), (229,360,[0_1|2]), (229,367,[5_1|2]), (229,387,[2_1|2]), (230,231,[2_1|2]), (231,232,[0_1|2]), (232,233,[0_1|2]), (233,234,[3_1|2]), (234,152,[0_1|2]), (234,171,[0_1|2, 5_1|2]), (234,195,[0_1|2]), (234,275,[0_1|2]), (234,282,[0_1|2]), (234,291,[0_1|2]), (234,308,[0_1|2]), (234,319,[0_1|2]), (234,331,[0_1|2]), (234,367,[0_1|2]), (234,389,[0_1|2]), (234,153,[2_1|2]), (234,155,[0_1|2]), (234,176,[0_1|2]), (235,236,[3_1|2]), (236,237,[5_1|2]), (237,238,[2_1|2]), (238,239,[3_1|2]), (239,240,[4_1|2]), (240,241,[5_1|2]), (241,242,[4_1|2]), (242,243,[3_1|2]), (243,244,[0_1|2]), (243,153,[2_1|2]), (243,155,[0_1|2]), (243,456,[2_1|3]), (244,152,[1_1|2]), (244,245,[1_1|2]), (244,398,[1_1|2]), (244,436,[1_1|2]), (244,388,[1_1|2]), (244,416,[0_1|2]), (245,246,[3_1|2]), (246,247,[4_1|2]), (247,248,[5_1|2]), (248,249,[5_1|2]), (249,250,[3_1|2]), (250,251,[0_1|2]), (251,252,[2_1|2]), (252,253,[2_1|2]), (253,254,[1_1|2]), (254,255,[3_1|2]), (255,256,[2_1|2]), (256,257,[3_1|2]), (257,152,[3_1|2]), (257,230,[3_1|2]), (257,235,[3_1|2]), (257,258,[3_1|2]), (257,173,[3_1|2]), (257,245,[1_1|2]), (258,259,[1_1|2]), (259,260,[5_1|2]), (260,261,[3_1|2]), (261,262,[4_1|2]), (262,263,[3_1|2]), (263,264,[2_1|2]), (264,265,[5_1|2]), (265,266,[5_1|2]), (266,267,[5_1|2]), (267,268,[3_1|2]), (268,269,[2_1|2]), (269,270,[5_1|2]), (270,271,[5_1|2]), (271,272,[1_1|2]), (272,273,[5_1|2]), (273,274,[2_1|2]), (273,191,[2_1|2]), (274,152,[3_1|2]), (274,230,[3_1|2]), (274,235,[3_1|2]), (274,258,[3_1|2]), (274,154,[3_1|2]), (274,245,[1_1|2]), (275,276,[1_1|2]), (276,277,[0_1|2]), (277,278,[2_1|2]), (278,279,[1_1|2]), (279,280,[0_1|2]), (280,281,[3_1|2]), (280,230,[3_1|2]), (281,152,[2_1|2]), (281,153,[2_1|2]), (281,191,[2_1|2]), (281,203,[2_1|2]), (281,213,[2_1|2]), (281,345,[2_1|2]), (281,387,[2_1|2]), (281,231,[2_1|2]), (281,195,[5_1|2]), (282,283,[4_1|2]), (283,284,[5_1|2]), (284,285,[4_1|2]), (285,286,[5_1|2]), (286,287,[1_1|2]), (287,288,[1_1|2]), (288,289,[1_1|2]), (289,290,[3_1|2]), (289,230,[3_1|2]), (290,152,[2_1|2]), (290,245,[2_1|2]), (290,398,[2_1|2]), (290,436,[2_1|2]), (290,388,[2_1|2]), (290,191,[2_1|2]), (290,195,[5_1|2]), (290,203,[2_1|2]), (290,213,[2_1|2]), (291,292,[4_1|2]), (292,293,[1_1|2]), (293,294,[4_1|2]), (294,295,[1_1|2]), (295,296,[5_1|2]), (296,297,[4_1|2]), (297,298,[3_1|2]), (298,299,[5_1|2]), (299,300,[3_1|2]), (300,301,[2_1|2]), (301,302,[4_1|2]), (302,303,[0_1|2]), (303,304,[0_1|2]), (304,305,[0_1|2]), (305,306,[2_1|2]), (306,307,[5_1|2]), (306,331,[5_1|2]), (306,345,[2_1|2]), (307,152,[2_1|2]), (307,171,[2_1|2]), (307,195,[2_1|2, 5_1|2]), (307,275,[2_1|2]), (307,282,[2_1|2]), (307,291,[2_1|2]), (307,308,[2_1|2]), (307,319,[2_1|2]), (307,331,[2_1|2]), (307,367,[2_1|2]), (307,191,[2_1|2]), (307,203,[2_1|2]), (307,213,[2_1|2]), (308,309,[4_1|2]), (309,310,[5_1|2]), (310,311,[2_1|2]), (311,312,[5_1|2]), (312,313,[3_1|2]), (313,314,[2_1|2]), (314,315,[2_1|2]), (315,316,[5_1|2]), (316,317,[1_1|2]), (317,318,[4_1|2]), (318,152,[5_1|2]), (318,171,[5_1|2]), (318,195,[5_1|2]), (318,275,[5_1|2]), (318,282,[5_1|2]), (318,291,[5_1|2]), (318,308,[5_1|2]), (318,319,[5_1|2]), (318,331,[5_1|2]), (318,367,[5_1|2]), (318,284,[5_1|2]), (318,310,[5_1|2]), (318,198,[5_1|2]), (318,345,[2_1|2]), (319,320,[4_1|2]), (320,321,[4_1|2]), (321,322,[2_1|2]), (322,323,[5_1|2]), (323,324,[0_1|2]), (324,325,[2_1|2]), (325,326,[5_1|2]), (326,327,[5_1|2]), (327,328,[3_1|2]), (328,329,[2_1|2]), (329,330,[2_1|2]), (330,152,[1_1|2]), (330,245,[1_1|2]), (330,398,[1_1|2]), (330,436,[1_1|2]), (330,416,[0_1|2]), (331,332,[4_1|2]), (332,333,[3_1|2]), (333,334,[4_1|2]), (334,335,[0_1|2]), (335,336,[3_1|2]), (336,337,[2_1|2]), (337,338,[2_1|2]), (338,339,[1_1|2]), (339,340,[3_1|2]), (340,341,[4_1|2]), (341,342,[4_1|2]), (342,343,[5_1|2]), (343,344,[4_1|2]), (344,152,[4_1|2]), (344,155,[4_1|2]), (344,176,[4_1|2]), (344,360,[4_1|2, 0_1|2]), (344,416,[4_1|2]), (344,367,[5_1|2]), (344,387,[2_1|2]), (345,346,[2_1|2]), (346,347,[2_1|2]), (347,348,[0_1|2]), (348,349,[3_1|2]), (349,350,[0_1|2]), (350,351,[5_1|2]), (351,352,[0_1|2]), (352,353,[3_1|2]), (353,354,[2_1|2]), (354,355,[4_1|2]), (355,356,[4_1|2]), (356,357,[4_1|2]), (357,358,[0_1|2]), (358,359,[1_1|2]), (359,152,[3_1|2]), (359,153,[3_1|2]), (359,191,[3_1|2]), (359,203,[3_1|2]), (359,213,[3_1|2]), (359,345,[3_1|2]), (359,387,[3_1|2]), (359,177,[3_1|2]), (359,230,[3_1|2]), (359,235,[3_1|2]), (359,245,[1_1|2]), (359,258,[3_1|2]), (360,361,[5_1|2]), (361,362,[1_1|2]), (362,363,[1_1|2]), (363,364,[2_1|2]), (364,365,[2_1|2]), (365,366,[1_1|2]), (366,152,[2_1|2]), (366,153,[2_1|2]), (366,191,[2_1|2]), (366,203,[2_1|2]), (366,213,[2_1|2]), (366,345,[2_1|2]), (366,387,[2_1|2]), (366,195,[5_1|2]), (367,368,[1_1|2]), (368,369,[3_1|2]), (369,370,[5_1|2]), (370,371,[3_1|2]), (371,372,[4_1|2]), (372,373,[4_1|2]), (373,374,[2_1|2]), (374,375,[2_1|2]), (375,376,[5_1|2]), (376,377,[1_1|2]), (377,378,[0_1|2]), (378,379,[0_1|2]), (379,380,[2_1|2]), (380,381,[4_1|2]), (381,382,[4_1|2]), (382,383,[2_1|2]), (383,384,[3_1|2]), (384,385,[0_1|2]), (385,386,[0_1|2]), (385,153,[2_1|2]), (385,155,[0_1|2]), (385,456,[2_1|3]), (386,152,[1_1|2]), (386,245,[1_1|2]), (386,398,[1_1|2]), (386,436,[1_1|2]), (386,156,[1_1|2]), (386,416,[0_1|2]), (387,388,[1_1|2]), (388,389,[5_1|2]), (389,390,[3_1|2]), (390,391,[5_1|2]), (391,392,[5_1|2]), (392,393,[5_1|2]), (393,394,[2_1|2]), (394,395,[2_1|2]), (395,396,[3_1|2]), (396,397,[2_1|2]), (397,152,[1_1|2]), (397,245,[1_1|2]), (397,398,[1_1|2]), (397,436,[1_1|2]), (397,276,[1_1|2]), (397,368,[1_1|2]), (397,416,[0_1|2]), (398,399,[0_1|2]), (399,400,[0_1|2]), (400,401,[2_1|2]), (401,402,[5_1|2]), (402,403,[3_1|2]), (403,404,[5_1|2]), (404,405,[2_1|2]), (405,406,[3_1|2]), (406,407,[4_1|2]), (407,408,[2_1|2]), (408,409,[0_1|2]), (409,410,[0_1|2]), (410,411,[3_1|2]), (411,412,[2_1|2]), (412,413,[3_1|2]), (413,414,[2_1|2]), (414,415,[4_1|2]), (414,387,[2_1|2]), (415,152,[1_1|2]), (415,171,[1_1|2]), (415,195,[1_1|2]), (415,275,[1_1|2]), (415,282,[1_1|2]), (415,291,[1_1|2]), (415,308,[1_1|2]), (415,319,[1_1|2]), (415,331,[1_1|2]), (415,367,[1_1|2]), (415,398,[1_1|2]), (415,416,[0_1|2]), (415,436,[1_1|2]), (416,417,[4_1|2]), (417,418,[2_1|2]), (418,419,[2_1|2]), (419,420,[2_1|2]), (420,421,[2_1|2]), (421,422,[5_1|2]), (422,423,[1_1|2]), (423,424,[2_1|2]), (424,425,[1_1|2]), (425,426,[4_1|2]), (426,427,[4_1|2]), (427,428,[5_1|2]), (428,429,[1_1|2]), (429,430,[1_1|2]), (430,431,[0_1|2]), (431,432,[4_1|2]), (432,433,[5_1|2]), (433,434,[2_1|2]), (433,191,[2_1|2]), (433,458,[2_1|3]), (434,435,[3_1|2]), (434,245,[1_1|2]), (435,152,[4_1|2]), (435,153,[4_1|2]), (435,191,[4_1|2]), (435,203,[4_1|2]), (435,213,[4_1|2]), (435,345,[4_1|2]), (435,387,[4_1|2, 2_1|2]), (435,360,[0_1|2]), (435,367,[5_1|2]), (436,437,[1_1|2]), (437,438,[3_1|2]), (438,439,[3_1|2]), (439,440,[2_1|2]), (440,441,[2_1|2]), (441,442,[2_1|2]), (442,443,[0_1|2]), (443,444,[5_1|2]), (444,445,[3_1|2]), (445,446,[4_1|2]), (446,447,[5_1|2]), (447,448,[3_1|2]), (448,449,[2_1|2]), (449,450,[1_1|2]), (450,451,[0_1|2]), (451,452,[1_1|2]), (452,453,[2_1|2]), (453,454,[4_1|2]), (454,455,[3_1|2]), (454,245,[1_1|2]), (455,152,[4_1|2]), (455,171,[4_1|2]), (455,195,[4_1|2]), (455,275,[4_1|2]), (455,282,[4_1|2]), (455,291,[4_1|2]), (455,308,[4_1|2]), (455,319,[4_1|2]), (455,331,[4_1|2]), (455,367,[4_1|2, 5_1|2]), (455,360,[0_1|2]), (455,387,[2_1|2]), (456,457,[3_1|3]), (457,154,[3_1|3]), (458,459,[5_1|3]), (459,460,[0_1|3]), (460,461,[3_1|3]), (461,389,[2_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)