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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 55 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 63 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(2(x1))))) -> 4(4(5(2(x1)))) 5(0(3(4(3(1(5(x1))))))) -> 5(2(3(0(0(5(5(x1))))))) 0(0(3(2(5(3(2(0(x1)))))))) -> 0(3(0(1(5(4(3(x1))))))) 0(1(0(5(3(0(3(4(x1)))))))) -> 1(5(3(1(1(5(4(x1))))))) 2(2(5(3(1(4(4(3(3(x1))))))))) -> 3(0(0(0(3(3(1(2(5(x1))))))))) 1(5(3(2(3(0(5(3(3(5(x1)))))))))) -> 1(5(5(1(0(1(3(4(5(x1))))))))) 2(0(1(0(1(5(0(3(3(0(x1)))))))))) -> 3(3(5(0(3(3(0(4(0(x1))))))))) 2(0(4(1(3(1(4(5(5(5(x1)))))))))) -> 2(3(5(4(0(2(3(4(5(1(x1)))))))))) 0(4(4(5(5(3(2(2(2(5(3(x1))))))))))) -> 2(4(1(1(0(0(5(4(4(3(x1)))))))))) 2(5(2(5(0(4(4(3(4(2(5(x1))))))))))) -> 1(2(5(0(0(3(3(0(4(1(5(x1))))))))))) 0(1(1(5(0(1(5(5(4(5(5(4(x1)))))))))))) -> 2(4(2(4(5(5(5(0(0(5(4(x1))))))))))) 3(0(3(5(3(3(0(2(5(3(3(4(x1)))))))))))) -> 2(3(3(1(5(4(3(5(3(0(4(x1))))))))))) 4(0(3(3(1(1(3(5(4(3(3(4(1(x1))))))))))))) -> 4(0(5(0(5(3(4(2(4(2(2(0(x1)))))))))))) 4(4(0(3(4(1(0(1(1(3(1(0(2(x1))))))))))))) -> 4(0(4(1(5(1(3(1(2(2(1(2(x1)))))))))))) 1(1(2(1(5(5(3(1(3(2(0(3(1(1(x1)))))))))))))) -> 3(2(3(5(5(5(4(3(0(0(2(3(0(x1))))))))))))) 4(4(5(2(0(3(3(3(1(0(3(5(2(4(x1)))))))))))))) -> 4(2(1(3(3(1(2(4(2(5(0(3(4(x1))))))))))))) 2(5(2(3(4(4(5(4(5(1(5(3(0(5(4(x1))))))))))))))) -> 3(1(3(1(2(2(1(3(5(4(3(0(3(1(4(x1))))))))))))))) 2(5(5(5(4(1(1(4(4(5(0(4(0(3(3(5(x1)))))))))))))))) -> 5(4(2(5(1(2(2(5(1(3(5(0(1(5(0(0(5(x1))))))))))))))))) 5(4(3(3(4(1(0(0(3(2(2(2(5(4(3(4(x1)))))))))))))))) -> 5(4(2(3(2(0(3(4(5(4(4(2(1(1(3(4(x1)))))))))))))))) 2(1(5(2(1(3(3(3(5(5(4(1(2(0(2(5(2(x1))))))))))))))))) -> 3(0(3(2(2(3(2(3(1(2(1(1(3(5(2(1(1(1(x1)))))))))))))))))) 4(0(0(1(2(3(1(0(2(1(5(3(2(1(3(1(0(x1))))))))))))))))) -> 4(1(5(5(4(3(1(4(4(5(3(4(5(0(3(x1))))))))))))))) 1(0(2(1(5(5(5(1(5(3(0(5(2(4(3(4(0(5(2(x1))))))))))))))))))) -> 1(1(3(3(0(1(5(0(0(4(1(2(2(5(1(5(2(3(3(2(x1)))))))))))))))))))) 3(3(2(0(5(2(3(2(2(1(0(3(5(4(2(2(1(3(5(4(x1)))))))))))))))))))) -> 3(2(0(1(2(0(4(5(1(2(2(4(1(0(2(5(2(1(4(x1))))))))))))))))))) 1(4(5(1(1(5(0(1(5(0(2(3(0(4(5(5(4(5(0(5(3(x1))))))))))))))))))))) -> 4(3(3(0(1(5(4(2(1(4(5(3(5(5(3(4(5(5(2(0(x1)))))))))))))))))))) 3(5(4(4(1(0(5(5(2(3(1(0(2(4(5(1(5(0(3(5(0(x1))))))))))))))))))))) -> 3(2(2(4(3(3(2(4(1(4(3(0(0(1(1(1(4(4(5(1(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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(1(2(3(2(x1))))) -> 4(4(5(2(x1)))) 5(0(3(4(3(1(5(x1))))))) -> 5(2(3(0(0(5(5(x1))))))) 0(0(3(2(5(3(2(0(x1)))))))) -> 0(3(0(1(5(4(3(x1))))))) 0(1(0(5(3(0(3(4(x1)))))))) -> 1(5(3(1(1(5(4(x1))))))) 2(2(5(3(1(4(4(3(3(x1))))))))) -> 3(0(0(0(3(3(1(2(5(x1))))))))) 1(5(3(2(3(0(5(3(3(5(x1)))))))))) -> 1(5(5(1(0(1(3(4(5(x1))))))))) 2(0(1(0(1(5(0(3(3(0(x1)))))))))) -> 3(3(5(0(3(3(0(4(0(x1))))))))) 2(0(4(1(3(1(4(5(5(5(x1)))))))))) -> 2(3(5(4(0(2(3(4(5(1(x1)))))))))) 0(4(4(5(5(3(2(2(2(5(3(x1))))))))))) -> 2(4(1(1(0(0(5(4(4(3(x1)))))))))) 2(5(2(5(0(4(4(3(4(2(5(x1))))))))))) -> 1(2(5(0(0(3(3(0(4(1(5(x1))))))))))) 0(1(1(5(0(1(5(5(4(5(5(4(x1)))))))))))) -> 2(4(2(4(5(5(5(0(0(5(4(x1))))))))))) 3(0(3(5(3(3(0(2(5(3(3(4(x1)))))))))))) -> 2(3(3(1(5(4(3(5(3(0(4(x1))))))))))) 4(0(3(3(1(1(3(5(4(3(3(4(1(x1))))))))))))) -> 4(0(5(0(5(3(4(2(4(2(2(0(x1)))))))))))) 4(4(0(3(4(1(0(1(1(3(1(0(2(x1))))))))))))) -> 4(0(4(1(5(1(3(1(2(2(1(2(x1)))))))))))) 1(1(2(1(5(5(3(1(3(2(0(3(1(1(x1)))))))))))))) -> 3(2(3(5(5(5(4(3(0(0(2(3(0(x1))))))))))))) 4(4(5(2(0(3(3(3(1(0(3(5(2(4(x1)))))))))))))) -> 4(2(1(3(3(1(2(4(2(5(0(3(4(x1))))))))))))) 2(5(2(3(4(4(5(4(5(1(5(3(0(5(4(x1))))))))))))))) -> 3(1(3(1(2(2(1(3(5(4(3(0(3(1(4(x1))))))))))))))) 2(5(5(5(4(1(1(4(4(5(0(4(0(3(3(5(x1)))))))))))))))) -> 5(4(2(5(1(2(2(5(1(3(5(0(1(5(0(0(5(x1))))))))))))))))) 5(4(3(3(4(1(0(0(3(2(2(2(5(4(3(4(x1)))))))))))))))) -> 5(4(2(3(2(0(3(4(5(4(4(2(1(1(3(4(x1)))))))))))))))) 2(1(5(2(1(3(3(3(5(5(4(1(2(0(2(5(2(x1))))))))))))))))) -> 3(0(3(2(2(3(2(3(1(2(1(1(3(5(2(1(1(1(x1)))))))))))))))))) 4(0(0(1(2(3(1(0(2(1(5(3(2(1(3(1(0(x1))))))))))))))))) -> 4(1(5(5(4(3(1(4(4(5(3(4(5(0(3(x1))))))))))))))) 1(0(2(1(5(5(5(1(5(3(0(5(2(4(3(4(0(5(2(x1))))))))))))))))))) -> 1(1(3(3(0(1(5(0(0(4(1(2(2(5(1(5(2(3(3(2(x1)))))))))))))))))))) 3(3(2(0(5(2(3(2(2(1(0(3(5(4(2(2(1(3(5(4(x1)))))))))))))))))))) -> 3(2(0(1(2(0(4(5(1(2(2(4(1(0(2(5(2(1(4(x1))))))))))))))))))) 1(4(5(1(1(5(0(1(5(0(2(3(0(4(5(5(4(5(0(5(3(x1))))))))))))))))))))) -> 4(3(3(0(1(5(4(2(1(4(5(3(5(5(3(4(5(5(2(0(x1)))))))))))))))))))) 3(5(4(4(1(0(5(5(2(3(1(0(2(4(5(1(5(0(3(5(0(x1))))))))))))))))))))) -> 3(2(2(4(3(3(2(4(1(4(3(0(0(1(1(1(4(4(5(1(x1)))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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(1(2(3(2(x1))))) -> 4(4(5(2(x1)))) 5(0(3(4(3(1(5(x1))))))) -> 5(2(3(0(0(5(5(x1))))))) 0(0(3(2(5(3(2(0(x1)))))))) -> 0(3(0(1(5(4(3(x1))))))) 0(1(0(5(3(0(3(4(x1)))))))) -> 1(5(3(1(1(5(4(x1))))))) 2(2(5(3(1(4(4(3(3(x1))))))))) -> 3(0(0(0(3(3(1(2(5(x1))))))))) 1(5(3(2(3(0(5(3(3(5(x1)))))))))) -> 1(5(5(1(0(1(3(4(5(x1))))))))) 2(0(1(0(1(5(0(3(3(0(x1)))))))))) -> 3(3(5(0(3(3(0(4(0(x1))))))))) 2(0(4(1(3(1(4(5(5(5(x1)))))))))) -> 2(3(5(4(0(2(3(4(5(1(x1)))))))))) 0(4(4(5(5(3(2(2(2(5(3(x1))))))))))) -> 2(4(1(1(0(0(5(4(4(3(x1)))))))))) 2(5(2(5(0(4(4(3(4(2(5(x1))))))))))) -> 1(2(5(0(0(3(3(0(4(1(5(x1))))))))))) 0(1(1(5(0(1(5(5(4(5(5(4(x1)))))))))))) -> 2(4(2(4(5(5(5(0(0(5(4(x1))))))))))) 3(0(3(5(3(3(0(2(5(3(3(4(x1)))))))))))) -> 2(3(3(1(5(4(3(5(3(0(4(x1))))))))))) 4(0(3(3(1(1(3(5(4(3(3(4(1(x1))))))))))))) -> 4(0(5(0(5(3(4(2(4(2(2(0(x1)))))))))))) 4(4(0(3(4(1(0(1(1(3(1(0(2(x1))))))))))))) -> 4(0(4(1(5(1(3(1(2(2(1(2(x1)))))))))))) 1(1(2(1(5(5(3(1(3(2(0(3(1(1(x1)))))))))))))) -> 3(2(3(5(5(5(4(3(0(0(2(3(0(x1))))))))))))) 4(4(5(2(0(3(3(3(1(0(3(5(2(4(x1)))))))))))))) -> 4(2(1(3(3(1(2(4(2(5(0(3(4(x1))))))))))))) 2(5(2(3(4(4(5(4(5(1(5(3(0(5(4(x1))))))))))))))) -> 3(1(3(1(2(2(1(3(5(4(3(0(3(1(4(x1))))))))))))))) 2(5(5(5(4(1(1(4(4(5(0(4(0(3(3(5(x1)))))))))))))))) -> 5(4(2(5(1(2(2(5(1(3(5(0(1(5(0(0(5(x1))))))))))))))))) 5(4(3(3(4(1(0(0(3(2(2(2(5(4(3(4(x1)))))))))))))))) -> 5(4(2(3(2(0(3(4(5(4(4(2(1(1(3(4(x1)))))))))))))))) 2(1(5(2(1(3(3(3(5(5(4(1(2(0(2(5(2(x1))))))))))))))))) -> 3(0(3(2(2(3(2(3(1(2(1(1(3(5(2(1(1(1(x1)))))))))))))))))) 4(0(0(1(2(3(1(0(2(1(5(3(2(1(3(1(0(x1))))))))))))))))) -> 4(1(5(5(4(3(1(4(4(5(3(4(5(0(3(x1))))))))))))))) 1(0(2(1(5(5(5(1(5(3(0(5(2(4(3(4(0(5(2(x1))))))))))))))))))) -> 1(1(3(3(0(1(5(0(0(4(1(2(2(5(1(5(2(3(3(2(x1)))))))))))))))))))) 3(3(2(0(5(2(3(2(2(1(0(3(5(4(2(2(1(3(5(4(x1)))))))))))))))))))) -> 3(2(0(1(2(0(4(5(1(2(2(4(1(0(2(5(2(1(4(x1))))))))))))))))))) 1(4(5(1(1(5(0(1(5(0(2(3(0(4(5(5(4(5(0(5(3(x1))))))))))))))))))))) -> 4(3(3(0(1(5(4(2(1(4(5(3(5(5(3(4(5(5(2(0(x1)))))))))))))))))))) 3(5(4(4(1(0(5(5(2(3(1(0(2(4(5(1(5(0(3(5(0(x1))))))))))))))))))))) -> 3(2(2(4(3(3(2(4(1(4(3(0(0(1(1(1(4(4(5(1(x1)))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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(1(2(3(2(x1))))) -> 4(4(5(2(x1)))) 5(0(3(4(3(1(5(x1))))))) -> 5(2(3(0(0(5(5(x1))))))) 0(0(3(2(5(3(2(0(x1)))))))) -> 0(3(0(1(5(4(3(x1))))))) 0(1(0(5(3(0(3(4(x1)))))))) -> 1(5(3(1(1(5(4(x1))))))) 2(2(5(3(1(4(4(3(3(x1))))))))) -> 3(0(0(0(3(3(1(2(5(x1))))))))) 1(5(3(2(3(0(5(3(3(5(x1)))))))))) -> 1(5(5(1(0(1(3(4(5(x1))))))))) 2(0(1(0(1(5(0(3(3(0(x1)))))))))) -> 3(3(5(0(3(3(0(4(0(x1))))))))) 2(0(4(1(3(1(4(5(5(5(x1)))))))))) -> 2(3(5(4(0(2(3(4(5(1(x1)))))))))) 0(4(4(5(5(3(2(2(2(5(3(x1))))))))))) -> 2(4(1(1(0(0(5(4(4(3(x1)))))))))) 2(5(2(5(0(4(4(3(4(2(5(x1))))))))))) -> 1(2(5(0(0(3(3(0(4(1(5(x1))))))))))) 0(1(1(5(0(1(5(5(4(5(5(4(x1)))))))))))) -> 2(4(2(4(5(5(5(0(0(5(4(x1))))))))))) 3(0(3(5(3(3(0(2(5(3(3(4(x1)))))))))))) -> 2(3(3(1(5(4(3(5(3(0(4(x1))))))))))) 4(0(3(3(1(1(3(5(4(3(3(4(1(x1))))))))))))) -> 4(0(5(0(5(3(4(2(4(2(2(0(x1)))))))))))) 4(4(0(3(4(1(0(1(1(3(1(0(2(x1))))))))))))) -> 4(0(4(1(5(1(3(1(2(2(1(2(x1)))))))))))) 1(1(2(1(5(5(3(1(3(2(0(3(1(1(x1)))))))))))))) -> 3(2(3(5(5(5(4(3(0(0(2(3(0(x1))))))))))))) 4(4(5(2(0(3(3(3(1(0(3(5(2(4(x1)))))))))))))) -> 4(2(1(3(3(1(2(4(2(5(0(3(4(x1))))))))))))) 2(5(2(3(4(4(5(4(5(1(5(3(0(5(4(x1))))))))))))))) -> 3(1(3(1(2(2(1(3(5(4(3(0(3(1(4(x1))))))))))))))) 2(5(5(5(4(1(1(4(4(5(0(4(0(3(3(5(x1)))))))))))))))) -> 5(4(2(5(1(2(2(5(1(3(5(0(1(5(0(0(5(x1))))))))))))))))) 5(4(3(3(4(1(0(0(3(2(2(2(5(4(3(4(x1)))))))))))))))) -> 5(4(2(3(2(0(3(4(5(4(4(2(1(1(3(4(x1)))))))))))))))) 2(1(5(2(1(3(3(3(5(5(4(1(2(0(2(5(2(x1))))))))))))))))) -> 3(0(3(2(2(3(2(3(1(2(1(1(3(5(2(1(1(1(x1)))))))))))))))))) 4(0(0(1(2(3(1(0(2(1(5(3(2(1(3(1(0(x1))))))))))))))))) -> 4(1(5(5(4(3(1(4(4(5(3(4(5(0(3(x1))))))))))))))) 1(0(2(1(5(5(5(1(5(3(0(5(2(4(3(4(0(5(2(x1))))))))))))))))))) -> 1(1(3(3(0(1(5(0(0(4(1(2(2(5(1(5(2(3(3(2(x1)))))))))))))))))))) 3(3(2(0(5(2(3(2(2(1(0(3(5(4(2(2(1(3(5(4(x1)))))))))))))))))))) -> 3(2(0(1(2(0(4(5(1(2(2(4(1(0(2(5(2(1(4(x1))))))))))))))))))) 1(4(5(1(1(5(0(1(5(0(2(3(0(4(5(5(4(5(0(5(3(x1))))))))))))))))))))) -> 4(3(3(0(1(5(4(2(1(4(5(3(5(5(3(4(5(5(2(0(x1)))))))))))))))))))) 3(5(4(4(1(0(5(5(2(3(1(0(2(4(5(1(5(0(3(5(0(x1))))))))))))))))))))) -> 3(2(2(4(3(3(2(4(1(4(3(0(0(1(1(1(4(4(5(1(x1)))))))))))))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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 2. The certificate found is represented by the following graph. "[148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440] {(148,149,[0_1|0, 5_1|0, 2_1|0, 1_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, 5_1|1, 2_1|1, 1_1|1, 3_1|1, 4_1|1]), (148,151,[4_1|2]), (148,154,[1_1|2]), (148,160,[2_1|2]), (148,170,[0_1|2]), (148,176,[2_1|2]), (148,185,[5_1|2]), (148,191,[5_1|2]), (148,206,[3_1|2]), (148,214,[3_1|2]), (148,222,[2_1|2]), (148,231,[1_1|2]), (148,241,[3_1|2]), (148,255,[5_1|2]), (148,271,[3_1|2]), (148,288,[1_1|2]), (148,296,[3_1|2]), (148,308,[1_1|2]), (148,327,[4_1|2]), (148,346,[2_1|2]), (148,356,[3_1|2]), (148,374,[3_1|2]), (148,393,[4_1|2]), (148,404,[4_1|2]), (148,418,[4_1|2]), (148,429,[4_1|2]), (149,149,[cons_0_1|0, cons_5_1|0, cons_2_1|0, cons_1_1|0, cons_3_1|0, cons_4_1|0]), (150,149,[encArg_1|1]), (150,150,[0_1|1, 5_1|1, 2_1|1, 1_1|1, 3_1|1, 4_1|1]), (150,151,[4_1|2]), (150,154,[1_1|2]), (150,160,[2_1|2]), (150,170,[0_1|2]), (150,176,[2_1|2]), (150,185,[5_1|2]), (150,191,[5_1|2]), (150,206,[3_1|2]), (150,214,[3_1|2]), (150,222,[2_1|2]), (150,231,[1_1|2]), (150,241,[3_1|2]), (150,255,[5_1|2]), (150,271,[3_1|2]), (150,288,[1_1|2]), (150,296,[3_1|2]), (150,308,[1_1|2]), (150,327,[4_1|2]), (150,346,[2_1|2]), (150,356,[3_1|2]), (150,374,[3_1|2]), (150,393,[4_1|2]), (150,404,[4_1|2]), (150,418,[4_1|2]), (150,429,[4_1|2]), (151,152,[4_1|2]), (152,153,[5_1|2]), (153,150,[2_1|2]), (153,160,[2_1|2]), (153,176,[2_1|2]), (153,222,[2_1|2]), (153,346,[2_1|2]), (153,297,[2_1|2]), (153,357,[2_1|2]), (153,375,[2_1|2]), (153,206,[3_1|2]), (153,214,[3_1|2]), (153,231,[1_1|2]), (153,241,[3_1|2]), (153,255,[5_1|2]), (153,271,[3_1|2]), (154,155,[5_1|2]), (155,156,[3_1|2]), (156,157,[1_1|2]), (157,158,[1_1|2]), (158,159,[5_1|2]), (158,191,[5_1|2]), (159,150,[4_1|2]), (159,151,[4_1|2]), (159,327,[4_1|2]), (159,393,[4_1|2]), (159,404,[4_1|2]), (159,418,[4_1|2]), (159,429,[4_1|2]), (160,161,[4_1|2]), (161,162,[2_1|2]), (162,163,[4_1|2]), (163,164,[5_1|2]), (164,165,[5_1|2]), (165,166,[5_1|2]), (166,167,[0_1|2]), (167,168,[0_1|2]), (168,169,[5_1|2]), (168,191,[5_1|2]), (169,150,[4_1|2]), (169,151,[4_1|2]), (169,327,[4_1|2]), (169,393,[4_1|2]), (169,404,[4_1|2]), (169,418,[4_1|2]), (169,429,[4_1|2]), (169,192,[4_1|2]), (169,256,[4_1|2]), (170,171,[3_1|2]), (171,172,[0_1|2]), (172,173,[1_1|2]), (173,174,[5_1|2]), (173,191,[5_1|2]), (174,175,[4_1|2]), (175,150,[3_1|2]), (175,170,[3_1|2]), (175,358,[3_1|2]), (175,346,[2_1|2]), (175,356,[3_1|2]), (175,374,[3_1|2]), (176,177,[4_1|2]), (177,178,[1_1|2]), (178,179,[1_1|2]), (179,180,[0_1|2]), (180,181,[0_1|2]), (181,182,[5_1|2]), (182,183,[4_1|2]), (183,184,[4_1|2]), (184,150,[3_1|2]), (184,206,[3_1|2]), (184,214,[3_1|2]), (184,241,[3_1|2]), (184,271,[3_1|2]), (184,296,[3_1|2]), (184,356,[3_1|2]), (184,374,[3_1|2]), (184,346,[2_1|2]), (185,186,[2_1|2]), (186,187,[3_1|2]), (187,188,[0_1|2]), (188,189,[0_1|2]), (189,190,[5_1|2]), (190,150,[5_1|2]), (190,185,[5_1|2]), (190,191,[5_1|2]), (190,255,[5_1|2]), (190,155,[5_1|2]), (190,289,[5_1|2]), (191,192,[4_1|2]), (192,193,[2_1|2]), (193,194,[3_1|2]), (194,195,[2_1|2]), (195,196,[0_1|2]), (196,197,[3_1|2]), (197,198,[4_1|2]), (198,199,[5_1|2]), (199,200,[4_1|2]), (200,201,[4_1|2]), (201,202,[2_1|2]), (202,203,[1_1|2]), (203,204,[1_1|2]), (204,205,[3_1|2]), (205,150,[4_1|2]), (205,151,[4_1|2]), (205,327,[4_1|2]), (205,393,[4_1|2]), (205,404,[4_1|2]), (205,418,[4_1|2]), (205,429,[4_1|2]), (206,207,[0_1|2]), (207,208,[0_1|2]), (208,209,[0_1|2]), (209,210,[3_1|2]), (210,211,[3_1|2]), (211,212,[1_1|2]), (212,213,[2_1|2]), (212,231,[1_1|2]), (212,241,[3_1|2]), (212,255,[5_1|2]), (213,150,[5_1|2]), (213,206,[5_1|2]), (213,214,[5_1|2]), (213,241,[5_1|2]), (213,271,[5_1|2]), (213,296,[5_1|2]), (213,356,[5_1|2]), (213,374,[5_1|2]), (213,215,[5_1|2]), (213,329,[5_1|2]), (213,185,[5_1|2]), (213,191,[5_1|2]), (214,215,[3_1|2]), (215,216,[5_1|2]), (216,217,[0_1|2]), (217,218,[3_1|2]), (218,219,[3_1|2]), (219,220,[0_1|2]), (220,221,[4_1|2]), (220,393,[4_1|2]), (220,404,[4_1|2]), (221,150,[0_1|2]), (221,170,[0_1|2]), (221,207,[0_1|2]), (221,272,[0_1|2]), (221,151,[4_1|2]), (221,154,[1_1|2]), (221,160,[2_1|2]), (221,176,[2_1|2]), (221,429,[4_1|2]), (222,223,[3_1|2]), (223,224,[5_1|2]), (224,225,[4_1|2]), (225,226,[0_1|2]), (226,227,[2_1|2]), (227,228,[3_1|2]), (228,229,[4_1|2]), (229,230,[5_1|2]), (230,150,[1_1|2]), (230,185,[1_1|2]), (230,191,[1_1|2]), (230,255,[1_1|2]), (230,288,[1_1|2]), (230,296,[3_1|2]), (230,308,[1_1|2]), (230,327,[4_1|2]), (231,232,[2_1|2]), (232,233,[5_1|2]), (233,234,[0_1|2]), (234,235,[0_1|2]), (235,236,[3_1|2]), (236,237,[3_1|2]), (237,238,[0_1|2]), (238,239,[4_1|2]), (239,240,[1_1|2]), (239,288,[1_1|2]), (240,150,[5_1|2]), (240,185,[5_1|2]), (240,191,[5_1|2]), (240,255,[5_1|2]), (241,242,[1_1|2]), (242,243,[3_1|2]), (243,244,[1_1|2]), (244,245,[2_1|2]), (245,246,[2_1|2]), (246,247,[1_1|2]), (247,248,[3_1|2]), (248,249,[5_1|2]), (249,250,[4_1|2]), (250,251,[3_1|2]), (251,252,[0_1|2]), (252,253,[3_1|2]), (253,254,[1_1|2]), (253,327,[4_1|2]), (254,150,[4_1|2]), (254,151,[4_1|2]), (254,327,[4_1|2]), (254,393,[4_1|2]), (254,404,[4_1|2]), (254,418,[4_1|2]), (254,429,[4_1|2]), (254,192,[4_1|2]), (254,256,[4_1|2]), (255,256,[4_1|2]), (256,257,[2_1|2]), (257,258,[5_1|2]), (258,259,[1_1|2]), (259,260,[2_1|2]), (260,261,[2_1|2]), (261,262,[5_1|2]), (262,263,[1_1|2]), (263,264,[3_1|2]), (264,265,[5_1|2]), (265,266,[0_1|2]), (266,267,[1_1|2]), (267,268,[5_1|2]), (268,269,[0_1|2]), (269,270,[0_1|2]), (270,150,[5_1|2]), (270,185,[5_1|2]), (270,191,[5_1|2]), (270,255,[5_1|2]), (270,216,[5_1|2]), (271,272,[0_1|2]), (272,273,[3_1|2]), (273,274,[2_1|2]), (274,275,[2_1|2]), (275,276,[3_1|2]), (276,277,[2_1|2]), (277,278,[3_1|2]), (278,279,[1_1|2]), (279,280,[2_1|2]), (280,281,[1_1|2]), (281,282,[1_1|2]), (282,283,[3_1|2]), (283,284,[5_1|2]), (284,285,[2_1|2]), (285,286,[1_1|2]), (286,287,[1_1|2]), (286,296,[3_1|2]), (287,150,[1_1|2]), (287,160,[1_1|2]), (287,176,[1_1|2]), (287,222,[1_1|2]), (287,346,[1_1|2]), (287,186,[1_1|2]), (287,288,[1_1|2]), (287,296,[3_1|2]), (287,308,[1_1|2]), (287,327,[4_1|2]), (288,289,[5_1|2]), (289,290,[5_1|2]), (290,291,[1_1|2]), (291,292,[0_1|2]), (292,293,[1_1|2]), (293,294,[3_1|2]), (294,295,[4_1|2]), (295,150,[5_1|2]), (295,185,[5_1|2]), (295,191,[5_1|2]), (295,255,[5_1|2]), (295,216,[5_1|2]), (296,297,[2_1|2]), (297,298,[3_1|2]), (298,299,[5_1|2]), (299,300,[5_1|2]), (300,301,[5_1|2]), (301,302,[4_1|2]), (302,303,[3_1|2]), (303,304,[0_1|2]), (304,305,[0_1|2]), (305,306,[2_1|2]), (306,307,[3_1|2]), (306,346,[2_1|2]), (307,150,[0_1|2]), (307,154,[0_1|2, 1_1|2]), (307,231,[0_1|2]), (307,288,[0_1|2]), (307,308,[0_1|2]), (307,309,[0_1|2]), (307,151,[4_1|2]), (307,160,[2_1|2]), (307,170,[0_1|2]), (307,176,[2_1|2]), (307,429,[4_1|2]), (308,309,[1_1|2]), (309,310,[3_1|2]), (310,311,[3_1|2]), (311,312,[0_1|2]), (312,313,[1_1|2]), (313,314,[5_1|2]), (314,315,[0_1|2]), (315,316,[0_1|2]), (316,317,[4_1|2]), (317,318,[1_1|2]), (318,319,[2_1|2]), (319,320,[2_1|2]), (320,321,[5_1|2]), (321,322,[1_1|2]), (322,323,[5_1|2]), (323,324,[2_1|2]), (324,325,[3_1|2]), (324,356,[3_1|2]), (325,326,[3_1|2]), (326,150,[2_1|2]), (326,160,[2_1|2]), (326,176,[2_1|2]), (326,222,[2_1|2]), (326,346,[2_1|2]), (326,186,[2_1|2]), (326,206,[3_1|2]), (326,214,[3_1|2]), (326,231,[1_1|2]), (326,241,[3_1|2]), (326,255,[5_1|2]), (326,271,[3_1|2]), (327,328,[3_1|2]), (328,329,[3_1|2]), (329,330,[0_1|2]), (330,331,[1_1|2]), (331,332,[5_1|2]), (332,333,[4_1|2]), (333,334,[2_1|2]), (334,335,[1_1|2]), (335,336,[4_1|2]), (336,337,[5_1|2]), (337,338,[3_1|2]), (338,339,[5_1|2]), (339,340,[5_1|2]), (340,341,[3_1|2]), (341,342,[4_1|2]), (342,343,[5_1|2]), (343,344,[5_1|2]), (344,345,[2_1|2]), (344,214,[3_1|2]), (344,222,[2_1|2]), (345,150,[0_1|2]), (345,206,[0_1|2]), (345,214,[0_1|2]), (345,241,[0_1|2]), (345,271,[0_1|2]), (345,296,[0_1|2]), (345,356,[0_1|2]), (345,374,[0_1|2]), (345,151,[4_1|2]), (345,154,[1_1|2]), (345,160,[2_1|2]), (345,170,[0_1|2]), (345,176,[2_1|2]), (345,429,[4_1|2]), (346,347,[3_1|2]), (347,348,[3_1|2]), (348,349,[1_1|2]), (349,350,[5_1|2]), (350,351,[4_1|2]), (351,352,[3_1|2]), (352,353,[5_1|2]), (353,354,[3_1|2]), (354,355,[0_1|2]), (354,176,[2_1|2]), (355,150,[4_1|2]), (355,151,[4_1|2]), (355,327,[4_1|2]), (355,393,[4_1|2]), (355,404,[4_1|2]), (355,418,[4_1|2]), (355,429,[4_1|2]), (356,357,[2_1|2]), (357,358,[0_1|2]), (358,359,[1_1|2]), (359,360,[2_1|2]), (360,361,[0_1|2]), (361,362,[4_1|2]), (362,363,[5_1|2]), (363,364,[1_1|2]), (364,365,[2_1|2]), (365,366,[2_1|2]), (366,367,[4_1|2]), (367,368,[1_1|2]), (368,369,[0_1|2]), (369,370,[2_1|2]), (370,371,[5_1|2]), (371,372,[2_1|2]), (372,373,[1_1|2]), (372,327,[4_1|2]), (373,150,[4_1|2]), (373,151,[4_1|2]), (373,327,[4_1|2]), (373,393,[4_1|2]), (373,404,[4_1|2]), (373,418,[4_1|2]), (373,429,[4_1|2]), (373,192,[4_1|2]), (373,256,[4_1|2]), (374,375,[2_1|2]), (375,376,[2_1|2]), (376,377,[4_1|2]), (377,378,[3_1|2]), (378,379,[3_1|2]), (379,380,[2_1|2]), (380,381,[4_1|2]), (381,382,[1_1|2]), (382,383,[4_1|2]), (383,384,[3_1|2]), (384,385,[0_1|2]), (385,386,[0_1|2]), (386,387,[1_1|2]), (387,388,[1_1|2]), (388,389,[1_1|2]), (389,390,[4_1|2]), (390,391,[4_1|2]), (391,392,[5_1|2]), (392,150,[1_1|2]), (392,170,[1_1|2]), (392,288,[1_1|2]), (392,296,[3_1|2]), (392,308,[1_1|2]), (392,327,[4_1|2]), (393,394,[0_1|2]), (394,395,[5_1|2]), (395,396,[0_1|2]), (396,397,[5_1|2]), (397,398,[3_1|2]), (398,399,[4_1|2]), (399,400,[2_1|2]), (400,401,[4_1|2]), (401,402,[2_1|2]), (402,403,[2_1|2]), (402,214,[3_1|2]), (402,222,[2_1|2]), (403,150,[0_1|2]), (403,154,[0_1|2, 1_1|2]), (403,231,[0_1|2]), (403,288,[0_1|2]), (403,308,[0_1|2]), (403,405,[0_1|2]), (403,151,[4_1|2]), (403,160,[2_1|2]), (403,170,[0_1|2]), (403,176,[2_1|2]), (403,429,[4_1|2]), (404,405,[1_1|2]), (405,406,[5_1|2]), (406,407,[5_1|2]), (407,408,[4_1|2]), (408,409,[3_1|2]), (409,410,[1_1|2]), (410,411,[4_1|2]), (411,412,[4_1|2]), (412,413,[5_1|2]), (413,414,[3_1|2]), (414,415,[4_1|2]), (415,416,[5_1|2]), (415,185,[5_1|2]), (416,417,[0_1|2]), (417,150,[3_1|2]), (417,170,[3_1|2]), (417,346,[2_1|2]), (417,356,[3_1|2]), (417,374,[3_1|2]), (418,419,[0_1|2]), (419,420,[4_1|2]), (420,421,[1_1|2]), (421,422,[5_1|2]), (422,423,[1_1|2]), (423,424,[3_1|2]), (424,425,[1_1|2]), (425,426,[2_1|2]), (426,427,[2_1|2]), (427,428,[1_1|2]), (428,150,[2_1|2]), (428,160,[2_1|2]), (428,176,[2_1|2]), (428,222,[2_1|2]), (428,346,[2_1|2]), (428,206,[3_1|2]), (428,214,[3_1|2]), (428,231,[1_1|2]), (428,241,[3_1|2]), (428,255,[5_1|2]), (428,271,[3_1|2]), (429,430,[2_1|2]), (430,431,[1_1|2]), (431,432,[3_1|2]), (432,433,[3_1|2]), (433,434,[1_1|2]), (434,435,[2_1|2]), (435,436,[4_1|2]), (436,437,[2_1|2]), (437,438,[5_1|2]), (437,185,[5_1|2]), (438,439,[0_1|2]), (439,440,[3_1|2]), (440,150,[4_1|2]), (440,151,[4_1|2]), (440,327,[4_1|2]), (440,393,[4_1|2]), (440,404,[4_1|2]), (440,418,[4_1|2]), (440,429,[4_1|2]), (440,161,[4_1|2]), (440,177,[4_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)