/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 51 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 114 ms] (8) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(1(2(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: 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_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 (full) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(1(2(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: FULL ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(1(2(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: FULL ---------------------------------------- (5) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(1(2(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: 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. "[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] {(151,152,[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]), (151,153,[0_1|1, 2_1|1, 3_1|1, 5_1|1, 4_1|1, 1_1|1]), (151,154,[2_1|2]), (151,156,[0_1|2]), (151,172,[5_1|2]), (151,177,[0_1|2]), (151,192,[2_1|2]), (151,196,[5_1|2]), (151,204,[2_1|2]), (151,214,[2_1|2]), (151,231,[3_1|2]), (151,236,[3_1|2]), (151,246,[1_1|2]), (151,259,[3_1|2]), (151,276,[5_1|2]), (151,283,[5_1|2]), (151,292,[5_1|2]), (151,309,[5_1|2]), (151,320,[5_1|2]), (151,332,[5_1|2]), (151,346,[2_1|2]), (151,361,[0_1|2]), (151,368,[5_1|2]), (151,388,[2_1|2]), (151,399,[1_1|2]), (151,417,[0_1|2]), (151,437,[1_1|2]), (152,152,[cons_0_1|0, cons_2_1|0, cons_3_1|0, cons_5_1|0, cons_4_1|0, cons_1_1|0]), (153,152,[encArg_1|1]), (153,153,[0_1|1, 2_1|1, 3_1|1, 5_1|1, 4_1|1, 1_1|1]), (153,154,[2_1|2]), (153,156,[0_1|2]), (153,172,[5_1|2]), (153,177,[0_1|2]), (153,192,[2_1|2]), (153,196,[5_1|2]), (153,204,[2_1|2]), (153,214,[2_1|2]), (153,231,[3_1|2]), (153,236,[3_1|2]), (153,246,[1_1|2]), (153,259,[3_1|2]), (153,276,[5_1|2]), (153,283,[5_1|2]), (153,292,[5_1|2]), (153,309,[5_1|2]), (153,320,[5_1|2]), (153,332,[5_1|2]), (153,346,[2_1|2]), (153,361,[0_1|2]), (153,368,[5_1|2]), (153,388,[2_1|2]), (153,399,[1_1|2]), (153,417,[0_1|2]), (153,437,[1_1|2]), (154,155,[3_1|2]), (155,153,[3_1|2]), (155,231,[3_1|2]), (155,236,[3_1|2]), (155,259,[3_1|2]), (155,155,[3_1|2]), (155,246,[1_1|2]), (156,157,[1_1|2]), (157,158,[3_1|2]), (158,159,[5_1|2]), (159,160,[2_1|2]), (160,161,[0_1|2]), (161,162,[5_1|2]), (162,163,[1_1|2]), (163,164,[2_1|2]), (164,165,[3_1|2]), (165,166,[5_1|2]), (166,167,[1_1|2]), (167,168,[2_1|2]), (168,169,[3_1|2]), (169,170,[3_1|2]), (170,171,[1_1|2]), (170,437,[1_1|2]), (171,153,[4_1|2]), (171,172,[4_1|2]), (171,196,[4_1|2]), (171,276,[4_1|2]), (171,283,[4_1|2]), (171,292,[4_1|2]), (171,309,[4_1|2]), (171,320,[4_1|2]), (171,332,[4_1|2]), (171,368,[4_1|2, 5_1|2]), (171,371,[4_1|2]), (171,361,[0_1|2]), (171,388,[2_1|2]), (172,173,[5_1|2]), (173,174,[3_1|2]), (174,175,[3_1|2]), (175,176,[0_1|2]), (175,154,[2_1|2]), (175,156,[0_1|2]), (175,457,[2_1|3]), (176,153,[1_1|2]), (176,154,[1_1|2]), (176,192,[1_1|2]), (176,204,[1_1|2]), (176,214,[1_1|2]), (176,346,[1_1|2]), (176,388,[1_1|2]), (176,232,[1_1|2]), (176,399,[1_1|2]), (176,417,[0_1|2]), (176,437,[1_1|2]), (177,178,[2_1|2]), (178,179,[2_1|2]), (179,180,[3_1|2]), (180,181,[3_1|2]), (181,182,[1_1|2]), (182,183,[3_1|2]), (183,184,[2_1|2]), (184,185,[1_1|2]), (185,186,[4_1|2]), (186,187,[1_1|2]), (187,188,[0_1|2]), (188,189,[0_1|2]), (189,190,[0_1|2]), (190,191,[2_1|2]), (191,153,[5_1|2]), (191,172,[5_1|2]), (191,196,[5_1|2]), (191,276,[5_1|2]), (191,283,[5_1|2]), (191,292,[5_1|2]), (191,309,[5_1|2]), (191,320,[5_1|2]), (191,332,[5_1|2]), (191,368,[5_1|2]), (191,193,[5_1|2]), (191,346,[2_1|2]), (192,193,[5_1|2]), (193,194,[0_1|2]), (194,195,[3_1|2]), (194,231,[3_1|2]), (195,153,[2_1|2]), (195,172,[2_1|2]), (195,196,[2_1|2, 5_1|2]), (195,276,[2_1|2]), (195,283,[2_1|2]), (195,292,[2_1|2]), (195,309,[2_1|2]), (195,320,[2_1|2]), (195,332,[2_1|2]), (195,368,[2_1|2]), (195,192,[2_1|2]), (195,204,[2_1|2]), (195,214,[2_1|2]), (196,197,[5_1|2]), (197,198,[4_1|2]), (198,199,[5_1|2]), (199,200,[5_1|2]), (200,201,[5_1|2]), (201,202,[2_1|2]), (202,203,[5_1|2]), (202,283,[5_1|2]), (202,292,[5_1|2]), (203,153,[0_1|2]), (203,172,[0_1|2, 5_1|2]), (203,196,[0_1|2]), (203,276,[0_1|2]), (203,283,[0_1|2]), (203,292,[0_1|2]), (203,309,[0_1|2]), (203,320,[0_1|2]), (203,332,[0_1|2]), (203,368,[0_1|2]), (203,154,[2_1|2]), (203,156,[0_1|2]), (203,177,[0_1|2]), (204,205,[4_1|2]), (205,206,[1_1|2]), (206,207,[3_1|2]), (207,208,[4_1|2]), (208,209,[0_1|2]), (209,210,[2_1|2]), (210,211,[0_1|2]), (211,212,[2_1|2]), (212,213,[5_1|2]), (212,332,[5_1|2]), (212,346,[2_1|2]), (213,153,[2_1|2]), (213,154,[2_1|2]), (213,192,[2_1|2]), (213,204,[2_1|2]), (213,214,[2_1|2]), (213,346,[2_1|2]), (213,388,[2_1|2]), (213,196,[5_1|2]), (214,215,[2_1|2]), (215,216,[5_1|2]), (216,217,[2_1|2]), (217,218,[4_1|2]), (218,219,[4_1|2]), (219,220,[1_1|2]), (220,221,[0_1|2]), (221,222,[0_1|2]), (222,223,[2_1|2]), (223,224,[3_1|2]), (224,225,[5_1|2]), (225,226,[0_1|2]), (226,227,[1_1|2]), (227,228,[2_1|2]), (228,229,[4_1|2]), (228,388,[2_1|2]), (229,230,[1_1|2]), (229,437,[1_1|2]), (230,153,[4_1|2]), (230,284,[4_1|2]), (230,293,[4_1|2]), (230,310,[4_1|2]), (230,321,[4_1|2]), (230,333,[4_1|2]), (230,361,[0_1|2]), (230,368,[5_1|2]), (230,388,[2_1|2]), (231,232,[2_1|2]), (232,233,[0_1|2]), (233,234,[0_1|2]), (234,235,[3_1|2]), (235,153,[0_1|2]), (235,172,[0_1|2, 5_1|2]), (235,196,[0_1|2]), (235,276,[0_1|2]), (235,283,[0_1|2]), (235,292,[0_1|2]), (235,309,[0_1|2]), (235,320,[0_1|2]), (235,332,[0_1|2]), (235,368,[0_1|2]), (235,390,[0_1|2]), (235,154,[2_1|2]), (235,156,[0_1|2]), (235,177,[0_1|2]), (236,237,[3_1|2]), (237,238,[5_1|2]), (238,239,[2_1|2]), (239,240,[3_1|2]), (240,241,[4_1|2]), (241,242,[5_1|2]), (242,243,[4_1|2]), (243,244,[3_1|2]), (244,245,[0_1|2]), (244,154,[2_1|2]), (244,156,[0_1|2]), (244,457,[2_1|3]), (245,153,[1_1|2]), (245,246,[1_1|2]), (245,399,[1_1|2]), (245,437,[1_1|2]), (245,389,[1_1|2]), (245,417,[0_1|2]), (246,247,[3_1|2]), (247,248,[4_1|2]), (248,249,[5_1|2]), (249,250,[5_1|2]), (250,251,[3_1|2]), (251,252,[0_1|2]), (252,253,[2_1|2]), (253,254,[2_1|2]), (254,255,[1_1|2]), (255,256,[3_1|2]), (256,257,[2_1|2]), (257,258,[3_1|2]), (258,153,[3_1|2]), (258,231,[3_1|2]), (258,236,[3_1|2]), (258,259,[3_1|2]), (258,174,[3_1|2]), (258,246,[1_1|2]), (259,260,[1_1|2]), (260,261,[5_1|2]), (261,262,[3_1|2]), (262,263,[4_1|2]), (263,264,[3_1|2]), (264,265,[2_1|2]), (265,266,[5_1|2]), (266,267,[5_1|2]), (267,268,[5_1|2]), (268,269,[3_1|2]), (269,270,[2_1|2]), (270,271,[5_1|2]), (271,272,[5_1|2]), (272,273,[1_1|2]), (273,274,[5_1|2]), (274,275,[2_1|2]), (274,192,[2_1|2]), (275,153,[3_1|2]), (275,231,[3_1|2]), (275,236,[3_1|2]), (275,259,[3_1|2]), (275,155,[3_1|2]), (275,246,[1_1|2]), (276,277,[1_1|2]), (277,278,[0_1|2]), (278,279,[2_1|2]), (279,280,[1_1|2]), (280,281,[0_1|2]), (281,282,[3_1|2]), (281,231,[3_1|2]), (282,153,[2_1|2]), (282,154,[2_1|2]), (282,192,[2_1|2]), (282,204,[2_1|2]), (282,214,[2_1|2]), (282,346,[2_1|2]), (282,388,[2_1|2]), (282,232,[2_1|2]), (282,196,[5_1|2]), (283,284,[4_1|2]), (284,285,[5_1|2]), (285,286,[4_1|2]), (286,287,[5_1|2]), (287,288,[1_1|2]), (288,289,[1_1|2]), (289,290,[1_1|2]), (290,291,[3_1|2]), (290,231,[3_1|2]), (291,153,[2_1|2]), (291,246,[2_1|2]), (291,399,[2_1|2]), (291,437,[2_1|2]), (291,389,[2_1|2]), (291,192,[2_1|2]), (291,196,[5_1|2]), (291,204,[2_1|2]), (291,214,[2_1|2]), (292,293,[4_1|2]), (293,294,[1_1|2]), (294,295,[4_1|2]), (295,296,[1_1|2]), (296,297,[5_1|2]), (297,298,[4_1|2]), (298,299,[3_1|2]), (299,300,[5_1|2]), (300,301,[3_1|2]), (301,302,[2_1|2]), (302,303,[4_1|2]), (303,304,[0_1|2]), (304,305,[0_1|2]), (305,306,[0_1|2]), (306,307,[2_1|2]), (307,308,[5_1|2]), (307,332,[5_1|2]), (307,346,[2_1|2]), (308,153,[2_1|2]), (308,172,[2_1|2]), (308,196,[2_1|2, 5_1|2]), (308,276,[2_1|2]), (308,283,[2_1|2]), (308,292,[2_1|2]), (308,309,[2_1|2]), (308,320,[2_1|2]), (308,332,[2_1|2]), (308,368,[2_1|2]), (308,192,[2_1|2]), (308,204,[2_1|2]), (308,214,[2_1|2]), (309,310,[4_1|2]), (310,311,[5_1|2]), (311,312,[2_1|2]), (312,313,[5_1|2]), (313,314,[3_1|2]), (314,315,[2_1|2]), (315,316,[2_1|2]), (316,317,[5_1|2]), (317,318,[1_1|2]), (318,319,[4_1|2]), (319,153,[5_1|2]), (319,172,[5_1|2]), (319,196,[5_1|2]), (319,276,[5_1|2]), (319,283,[5_1|2]), (319,292,[5_1|2]), (319,309,[5_1|2]), (319,320,[5_1|2]), (319,332,[5_1|2]), (319,368,[5_1|2]), (319,285,[5_1|2]), (319,311,[5_1|2]), (319,199,[5_1|2]), (319,346,[2_1|2]), (320,321,[4_1|2]), (321,322,[4_1|2]), (322,323,[2_1|2]), (323,324,[5_1|2]), (324,325,[0_1|2]), (325,326,[2_1|2]), (326,327,[5_1|2]), (327,328,[5_1|2]), (328,329,[3_1|2]), (329,330,[2_1|2]), (330,331,[2_1|2]), (331,153,[1_1|2]), (331,246,[1_1|2]), (331,399,[1_1|2]), (331,437,[1_1|2]), (331,417,[0_1|2]), (332,333,[4_1|2]), (333,334,[3_1|2]), (334,335,[4_1|2]), (335,336,[0_1|2]), (336,337,[3_1|2]), (337,338,[2_1|2]), (338,339,[2_1|2]), (339,340,[1_1|2]), (340,341,[3_1|2]), (341,342,[4_1|2]), (342,343,[4_1|2]), (343,344,[5_1|2]), (344,345,[4_1|2]), (345,153,[4_1|2]), (345,156,[4_1|2]), (345,177,[4_1|2]), (345,361,[4_1|2, 0_1|2]), (345,417,[4_1|2]), (345,368,[5_1|2]), (345,388,[2_1|2]), (346,347,[2_1|2]), (347,348,[2_1|2]), (348,349,[0_1|2]), (349,350,[3_1|2]), (350,351,[0_1|2]), (351,352,[5_1|2]), (352,353,[0_1|2]), (353,354,[3_1|2]), (354,355,[2_1|2]), (355,356,[4_1|2]), (356,357,[4_1|2]), (357,358,[4_1|2]), (358,359,[0_1|2]), (359,360,[1_1|2]), (360,153,[3_1|2]), (360,154,[3_1|2]), (360,192,[3_1|2]), (360,204,[3_1|2]), (360,214,[3_1|2]), (360,346,[3_1|2]), (360,388,[3_1|2]), (360,178,[3_1|2]), (360,231,[3_1|2]), (360,236,[3_1|2]), (360,246,[1_1|2]), (360,259,[3_1|2]), (361,362,[5_1|2]), (362,363,[1_1|2]), (363,364,[1_1|2]), (364,365,[2_1|2]), (365,366,[2_1|2]), (366,367,[1_1|2]), (367,153,[2_1|2]), (367,154,[2_1|2]), (367,192,[2_1|2]), (367,204,[2_1|2]), (367,214,[2_1|2]), (367,346,[2_1|2]), (367,388,[2_1|2]), (367,196,[5_1|2]), (368,369,[1_1|2]), (369,370,[3_1|2]), (370,371,[5_1|2]), (371,372,[3_1|2]), (372,373,[4_1|2]), (373,374,[4_1|2]), (374,375,[2_1|2]), (375,376,[2_1|2]), (376,377,[5_1|2]), (377,378,[1_1|2]), (378,379,[0_1|2]), (379,380,[0_1|2]), (380,381,[2_1|2]), (381,382,[4_1|2]), (382,383,[4_1|2]), (383,384,[2_1|2]), (384,385,[3_1|2]), (385,386,[0_1|2]), (386,387,[0_1|2]), (386,154,[2_1|2]), (386,156,[0_1|2]), (386,457,[2_1|3]), (387,153,[1_1|2]), (387,246,[1_1|2]), (387,399,[1_1|2]), (387,437,[1_1|2]), (387,157,[1_1|2]), (387,417,[0_1|2]), (388,389,[1_1|2]), (389,390,[5_1|2]), (390,391,[3_1|2]), (391,392,[5_1|2]), (392,393,[5_1|2]), (393,394,[5_1|2]), (394,395,[2_1|2]), (395,396,[2_1|2]), (396,397,[3_1|2]), (397,398,[2_1|2]), (398,153,[1_1|2]), (398,246,[1_1|2]), (398,399,[1_1|2]), (398,437,[1_1|2]), (398,277,[1_1|2]), (398,369,[1_1|2]), (398,417,[0_1|2]), (399,400,[0_1|2]), (400,401,[0_1|2]), (401,402,[2_1|2]), (402,403,[5_1|2]), (403,404,[3_1|2]), (404,405,[5_1|2]), (405,406,[2_1|2]), (406,407,[3_1|2]), (407,408,[4_1|2]), (408,409,[2_1|2]), (409,410,[0_1|2]), (410,411,[0_1|2]), (411,412,[3_1|2]), (412,413,[2_1|2]), (413,414,[3_1|2]), (414,415,[2_1|2]), (415,416,[4_1|2]), (415,388,[2_1|2]), (416,153,[1_1|2]), (416,172,[1_1|2]), (416,196,[1_1|2]), (416,276,[1_1|2]), (416,283,[1_1|2]), (416,292,[1_1|2]), (416,309,[1_1|2]), (416,320,[1_1|2]), (416,332,[1_1|2]), (416,368,[1_1|2]), (416,399,[1_1|2]), (416,417,[0_1|2]), (416,437,[1_1|2]), (417,418,[4_1|2]), (418,419,[2_1|2]), (419,420,[2_1|2]), (420,421,[2_1|2]), (421,422,[2_1|2]), (422,423,[5_1|2]), (423,424,[1_1|2]), (424,425,[2_1|2]), (425,426,[1_1|2]), (426,427,[4_1|2]), (427,428,[4_1|2]), (428,429,[5_1|2]), (429,430,[1_1|2]), (430,431,[1_1|2]), (431,432,[0_1|2]), (432,433,[4_1|2]), (433,434,[5_1|2]), (434,435,[2_1|2]), (434,192,[2_1|2]), (434,459,[2_1|3]), (435,436,[3_1|2]), (435,246,[1_1|2]), (436,153,[4_1|2]), (436,154,[4_1|2]), (436,192,[4_1|2]), (436,204,[4_1|2]), (436,214,[4_1|2]), (436,346,[4_1|2]), (436,388,[4_1|2, 2_1|2]), (436,361,[0_1|2]), (436,368,[5_1|2]), (437,438,[1_1|2]), (438,439,[3_1|2]), (439,440,[3_1|2]), (440,441,[2_1|2]), (441,442,[2_1|2]), (442,443,[2_1|2]), (443,444,[0_1|2]), (444,445,[5_1|2]), (445,446,[3_1|2]), (446,447,[4_1|2]), (447,448,[5_1|2]), (448,449,[3_1|2]), (449,450,[2_1|2]), (450,451,[1_1|2]), (451,452,[0_1|2]), (452,453,[1_1|2]), (453,454,[2_1|2]), (454,455,[4_1|2]), (455,456,[3_1|2]), (455,246,[1_1|2]), (456,153,[4_1|2]), (456,172,[4_1|2]), (456,196,[4_1|2]), (456,276,[4_1|2]), (456,283,[4_1|2]), (456,292,[4_1|2]), (456,309,[4_1|2]), (456,320,[4_1|2]), (456,332,[4_1|2]), (456,368,[4_1|2, 5_1|2]), (456,361,[0_1|2]), (456,388,[2_1|2]), (457,458,[3_1|3]), (458,155,[3_1|3]), (459,460,[5_1|3]), (460,461,[0_1|3]), (461,462,[3_1|3]), (462,390,[2_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)