WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 50 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 81 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(2(x1))))) -> 4(3(1(3(x1)))) 3(2(4(4(2(0(x1)))))) -> 3(1(1(0(x1)))) 1(2(5(3(4(0(3(2(x1)))))))) -> 3(4(1(1(4(5(5(x1))))))) 2(1(3(1(0(4(5(0(1(x1))))))))) -> 2(1(1(2(3(3(2(0(0(x1))))))))) 3(5(4(3(4(4(4(3(4(x1))))))))) -> 5(0(5(0(0(1(4(x1))))))) 4(5(3(3(2(1(0(3(2(x1))))))))) -> 4(5(4(5(3(1(4(3(x1)))))))) 0(1(4(0(5(3(4(4(4(5(x1)))))))))) -> 0(5(5(5(0(3(5(x1))))))) 4(1(2(0(5(2(4(4(2(0(x1)))))))))) -> 0(4(3(1(0(0(3(0(x1)))))))) 0(1(0(3(1(2(1(3(5(5(2(x1))))))))))) -> 4(3(0(2(4(5(3(3(2(5(0(2(x1)))))))))))) 4(1(2(2(3(0(1(0(3(0(2(x1))))))))))) -> 4(3(3(0(2(0(2(2(2(2(x1)))))))))) 4(3(4(5(1(5(3(4(2(2(5(x1))))))))))) -> 4(3(2(2(4(3(3(1(0(5(5(x1))))))))))) 3(0(3(3(2(0(3(1(0(5(4(1(4(x1))))))))))))) -> 3(5(5(4(4(1(5(0(1(5(4(3(x1)))))))))))) 3(0(5(5(5(2(0(0(0(2(4(2(2(x1))))))))))))) -> 1(3(5(4(1(1(2(1(0(4(0(4(2(x1))))))))))))) 0(0(3(1(5(1(4(2(1(0(4(4(0(5(x1)))))))))))))) -> 0(3(4(3(2(1(2(1(2(0(2(4(0(5(x1)))))))))))))) 2(1(4(5(4(3(3(4(3(4(2(2(1(5(x1)))))))))))))) -> 0(5(4(2(2(2(4(3(3(1(3(1(0(0(x1)))))))))))))) 0(1(0(1(4(4(4(0(3(2(4(0(4(5(0(x1))))))))))))))) -> 4(1(5(2(5(2(4(0(1(2(3(0(0(x1))))))))))))) 5(2(2(5(5(1(0(4(4(3(1(2(0(2(4(x1))))))))))))))) -> 5(0(3(1(0(1(0(4(4(3(2(4(2(1(1(4(x1)))))))))))))))) 4(5(4(1(1(5(3(4(0(3(5(3(1(0(0(3(1(x1))))))))))))))))) -> 4(3(3(1(4(4(2(1(1(3(2(0(4(2(1(4(3(1(x1)))))))))))))))))) 1(0(1(2(0(5(3(2(0(5(4(0(0(3(2(0(5(2(x1)))))))))))))))))) -> 1(1(1(4(3(4(3(4(4(3(0(3(4(4(0(1(4(2(2(x1))))))))))))))))))) 0(0(1(0(1(0(2(4(3(5(4(3(1(4(4(2(3(1(5(x1))))))))))))))))))) -> 4(0(5(4(3(3(3(4(3(3(0(2(2(4(1(5(2(3(x1)))))))))))))))))) 0(1(5(4(3(2(4(3(1(3(3(4(4(3(3(0(1(2(2(x1))))))))))))))))))) -> 4(1(0(3(0(4(4(0(5(0(1(5(5(2(1(1(5(4(2(x1))))))))))))))))))) 4(5(3(0(4(2(1(1(3(0(3(0(0(5(1(3(2(4(5(x1))))))))))))))))))) -> 4(5(5(1(1(2(4(0(3(2(5(1(2(5(3(0(3(x1))))))))))))))))) 5(2(5(1(4(3(3(3(3(3(3(3(1(4(5(2(2(5(1(2(x1)))))))))))))))))))) -> 1(3(2(3(1(3(4(1(0(1(2(5(0(5(5(4(5(0(4(5(x1)))))))))))))))))))) 1(5(3(1(4(2(0(1(1(0(3(5(4(1(4(5(2(0(1(0(0(x1))))))))))))))))))))) -> 1(4(0(1(1(5(0(3(4(1(2(4(1(1(4(5(4(1(3(3(0(x1))))))))))))))))))))) 4(0(1(3(0(2(0(2(0(4(0(5(0(2(1(0(2(5(5(0(2(x1))))))))))))))))))))) -> 2(0(1(3(4(1(2(3(5(2(2(4(5(0(3(5(2(1(3(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_3(x_1)) -> 3(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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(2(x1))))) -> 4(3(1(3(x1)))) 3(2(4(4(2(0(x1)))))) -> 3(1(1(0(x1)))) 1(2(5(3(4(0(3(2(x1)))))))) -> 3(4(1(1(4(5(5(x1))))))) 2(1(3(1(0(4(5(0(1(x1))))))))) -> 2(1(1(2(3(3(2(0(0(x1))))))))) 3(5(4(3(4(4(4(3(4(x1))))))))) -> 5(0(5(0(0(1(4(x1))))))) 4(5(3(3(2(1(0(3(2(x1))))))))) -> 4(5(4(5(3(1(4(3(x1)))))))) 0(1(4(0(5(3(4(4(4(5(x1)))))))))) -> 0(5(5(5(0(3(5(x1))))))) 4(1(2(0(5(2(4(4(2(0(x1)))))))))) -> 0(4(3(1(0(0(3(0(x1)))))))) 0(1(0(3(1(2(1(3(5(5(2(x1))))))))))) -> 4(3(0(2(4(5(3(3(2(5(0(2(x1)))))))))))) 4(1(2(2(3(0(1(0(3(0(2(x1))))))))))) -> 4(3(3(0(2(0(2(2(2(2(x1)))))))))) 4(3(4(5(1(5(3(4(2(2(5(x1))))))))))) -> 4(3(2(2(4(3(3(1(0(5(5(x1))))))))))) 3(0(3(3(2(0(3(1(0(5(4(1(4(x1))))))))))))) -> 3(5(5(4(4(1(5(0(1(5(4(3(x1)))))))))))) 3(0(5(5(5(2(0(0(0(2(4(2(2(x1))))))))))))) -> 1(3(5(4(1(1(2(1(0(4(0(4(2(x1))))))))))))) 0(0(3(1(5(1(4(2(1(0(4(4(0(5(x1)))))))))))))) -> 0(3(4(3(2(1(2(1(2(0(2(4(0(5(x1)))))))))))))) 2(1(4(5(4(3(3(4(3(4(2(2(1(5(x1)))))))))))))) -> 0(5(4(2(2(2(4(3(3(1(3(1(0(0(x1)))))))))))))) 0(1(0(1(4(4(4(0(3(2(4(0(4(5(0(x1))))))))))))))) -> 4(1(5(2(5(2(4(0(1(2(3(0(0(x1))))))))))))) 5(2(2(5(5(1(0(4(4(3(1(2(0(2(4(x1))))))))))))))) -> 5(0(3(1(0(1(0(4(4(3(2(4(2(1(1(4(x1)))))))))))))))) 4(5(4(1(1(5(3(4(0(3(5(3(1(0(0(3(1(x1))))))))))))))))) -> 4(3(3(1(4(4(2(1(1(3(2(0(4(2(1(4(3(1(x1)))))))))))))))))) 1(0(1(2(0(5(3(2(0(5(4(0(0(3(2(0(5(2(x1)))))))))))))))))) -> 1(1(1(4(3(4(3(4(4(3(0(3(4(4(0(1(4(2(2(x1))))))))))))))))))) 0(0(1(0(1(0(2(4(3(5(4(3(1(4(4(2(3(1(5(x1))))))))))))))))))) -> 4(0(5(4(3(3(3(4(3(3(0(2(2(4(1(5(2(3(x1)))))))))))))))))) 0(1(5(4(3(2(4(3(1(3(3(4(4(3(3(0(1(2(2(x1))))))))))))))))))) -> 4(1(0(3(0(4(4(0(5(0(1(5(5(2(1(1(5(4(2(x1))))))))))))))))))) 4(5(3(0(4(2(1(1(3(0(3(0(0(5(1(3(2(4(5(x1))))))))))))))))))) -> 4(5(5(1(1(2(4(0(3(2(5(1(2(5(3(0(3(x1))))))))))))))))) 5(2(5(1(4(3(3(3(3(3(3(3(1(4(5(2(2(5(1(2(x1)))))))))))))))))))) -> 1(3(2(3(1(3(4(1(0(1(2(5(0(5(5(4(5(0(4(5(x1)))))))))))))))))))) 1(5(3(1(4(2(0(1(1(0(3(5(4(1(4(5(2(0(1(0(0(x1))))))))))))))))))))) -> 1(4(0(1(1(5(0(3(4(1(2(4(1(1(4(5(4(1(3(3(0(x1))))))))))))))))))))) 4(0(1(3(0(2(0(2(0(4(0(5(0(2(1(0(2(5(5(0(2(x1))))))))))))))))))))) -> 2(0(1(3(4(1(2(3(5(2(2(4(5(0(3(5(2(1(3(x1))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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(2(x1))))) -> 4(3(1(3(x1)))) 3(2(4(4(2(0(x1)))))) -> 3(1(1(0(x1)))) 1(2(5(3(4(0(3(2(x1)))))))) -> 3(4(1(1(4(5(5(x1))))))) 2(1(3(1(0(4(5(0(1(x1))))))))) -> 2(1(1(2(3(3(2(0(0(x1))))))))) 3(5(4(3(4(4(4(3(4(x1))))))))) -> 5(0(5(0(0(1(4(x1))))))) 4(5(3(3(2(1(0(3(2(x1))))))))) -> 4(5(4(5(3(1(4(3(x1)))))))) 0(1(4(0(5(3(4(4(4(5(x1)))))))))) -> 0(5(5(5(0(3(5(x1))))))) 4(1(2(0(5(2(4(4(2(0(x1)))))))))) -> 0(4(3(1(0(0(3(0(x1)))))))) 0(1(0(3(1(2(1(3(5(5(2(x1))))))))))) -> 4(3(0(2(4(5(3(3(2(5(0(2(x1)))))))))))) 4(1(2(2(3(0(1(0(3(0(2(x1))))))))))) -> 4(3(3(0(2(0(2(2(2(2(x1)))))))))) 4(3(4(5(1(5(3(4(2(2(5(x1))))))))))) -> 4(3(2(2(4(3(3(1(0(5(5(x1))))))))))) 3(0(3(3(2(0(3(1(0(5(4(1(4(x1))))))))))))) -> 3(5(5(4(4(1(5(0(1(5(4(3(x1)))))))))))) 3(0(5(5(5(2(0(0(0(2(4(2(2(x1))))))))))))) -> 1(3(5(4(1(1(2(1(0(4(0(4(2(x1))))))))))))) 0(0(3(1(5(1(4(2(1(0(4(4(0(5(x1)))))))))))))) -> 0(3(4(3(2(1(2(1(2(0(2(4(0(5(x1)))))))))))))) 2(1(4(5(4(3(3(4(3(4(2(2(1(5(x1)))))))))))))) -> 0(5(4(2(2(2(4(3(3(1(3(1(0(0(x1)))))))))))))) 0(1(0(1(4(4(4(0(3(2(4(0(4(5(0(x1))))))))))))))) -> 4(1(5(2(5(2(4(0(1(2(3(0(0(x1))))))))))))) 5(2(2(5(5(1(0(4(4(3(1(2(0(2(4(x1))))))))))))))) -> 5(0(3(1(0(1(0(4(4(3(2(4(2(1(1(4(x1)))))))))))))))) 4(5(4(1(1(5(3(4(0(3(5(3(1(0(0(3(1(x1))))))))))))))))) -> 4(3(3(1(4(4(2(1(1(3(2(0(4(2(1(4(3(1(x1)))))))))))))))))) 1(0(1(2(0(5(3(2(0(5(4(0(0(3(2(0(5(2(x1)))))))))))))))))) -> 1(1(1(4(3(4(3(4(4(3(0(3(4(4(0(1(4(2(2(x1))))))))))))))))))) 0(0(1(0(1(0(2(4(3(5(4(3(1(4(4(2(3(1(5(x1))))))))))))))))))) -> 4(0(5(4(3(3(3(4(3(3(0(2(2(4(1(5(2(3(x1)))))))))))))))))) 0(1(5(4(3(2(4(3(1(3(3(4(4(3(3(0(1(2(2(x1))))))))))))))))))) -> 4(1(0(3(0(4(4(0(5(0(1(5(5(2(1(1(5(4(2(x1))))))))))))))))))) 4(5(3(0(4(2(1(1(3(0(3(0(0(5(1(3(2(4(5(x1))))))))))))))))))) -> 4(5(5(1(1(2(4(0(3(2(5(1(2(5(3(0(3(x1))))))))))))))))) 5(2(5(1(4(3(3(3(3(3(3(3(1(4(5(2(2(5(1(2(x1)))))))))))))))))))) -> 1(3(2(3(1(3(4(1(0(1(2(5(0(5(5(4(5(0(4(5(x1)))))))))))))))))))) 1(5(3(1(4(2(0(1(1(0(3(5(4(1(4(5(2(0(1(0(0(x1))))))))))))))))))))) -> 1(4(0(1(1(5(0(3(4(1(2(4(1(1(4(5(4(1(3(3(0(x1))))))))))))))))))))) 4(0(1(3(0(2(0(2(0(4(0(5(0(2(1(0(2(5(5(0(2(x1))))))))))))))))))))) -> 2(0(1(3(4(1(2(3(5(2(2(4(5(0(3(5(2(1(3(x1))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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(2(x1))))) -> 4(3(1(3(x1)))) 3(2(4(4(2(0(x1)))))) -> 3(1(1(0(x1)))) 1(2(5(3(4(0(3(2(x1)))))))) -> 3(4(1(1(4(5(5(x1))))))) 2(1(3(1(0(4(5(0(1(x1))))))))) -> 2(1(1(2(3(3(2(0(0(x1))))))))) 3(5(4(3(4(4(4(3(4(x1))))))))) -> 5(0(5(0(0(1(4(x1))))))) 4(5(3(3(2(1(0(3(2(x1))))))))) -> 4(5(4(5(3(1(4(3(x1)))))))) 0(1(4(0(5(3(4(4(4(5(x1)))))))))) -> 0(5(5(5(0(3(5(x1))))))) 4(1(2(0(5(2(4(4(2(0(x1)))))))))) -> 0(4(3(1(0(0(3(0(x1)))))))) 0(1(0(3(1(2(1(3(5(5(2(x1))))))))))) -> 4(3(0(2(4(5(3(3(2(5(0(2(x1)))))))))))) 4(1(2(2(3(0(1(0(3(0(2(x1))))))))))) -> 4(3(3(0(2(0(2(2(2(2(x1)))))))))) 4(3(4(5(1(5(3(4(2(2(5(x1))))))))))) -> 4(3(2(2(4(3(3(1(0(5(5(x1))))))))))) 3(0(3(3(2(0(3(1(0(5(4(1(4(x1))))))))))))) -> 3(5(5(4(4(1(5(0(1(5(4(3(x1)))))))))))) 3(0(5(5(5(2(0(0(0(2(4(2(2(x1))))))))))))) -> 1(3(5(4(1(1(2(1(0(4(0(4(2(x1))))))))))))) 0(0(3(1(5(1(4(2(1(0(4(4(0(5(x1)))))))))))))) -> 0(3(4(3(2(1(2(1(2(0(2(4(0(5(x1)))))))))))))) 2(1(4(5(4(3(3(4(3(4(2(2(1(5(x1)))))))))))))) -> 0(5(4(2(2(2(4(3(3(1(3(1(0(0(x1)))))))))))))) 0(1(0(1(4(4(4(0(3(2(4(0(4(5(0(x1))))))))))))))) -> 4(1(5(2(5(2(4(0(1(2(3(0(0(x1))))))))))))) 5(2(2(5(5(1(0(4(4(3(1(2(0(2(4(x1))))))))))))))) -> 5(0(3(1(0(1(0(4(4(3(2(4(2(1(1(4(x1)))))))))))))))) 4(5(4(1(1(5(3(4(0(3(5(3(1(0(0(3(1(x1))))))))))))))))) -> 4(3(3(1(4(4(2(1(1(3(2(0(4(2(1(4(3(1(x1)))))))))))))))))) 1(0(1(2(0(5(3(2(0(5(4(0(0(3(2(0(5(2(x1)))))))))))))))))) -> 1(1(1(4(3(4(3(4(4(3(0(3(4(4(0(1(4(2(2(x1))))))))))))))))))) 0(0(1(0(1(0(2(4(3(5(4(3(1(4(4(2(3(1(5(x1))))))))))))))))))) -> 4(0(5(4(3(3(3(4(3(3(0(2(2(4(1(5(2(3(x1)))))))))))))))))) 0(1(5(4(3(2(4(3(1(3(3(4(4(3(3(0(1(2(2(x1))))))))))))))))))) -> 4(1(0(3(0(4(4(0(5(0(1(5(5(2(1(1(5(4(2(x1))))))))))))))))))) 4(5(3(0(4(2(1(1(3(0(3(0(0(5(1(3(2(4(5(x1))))))))))))))))))) -> 4(5(5(1(1(2(4(0(3(2(5(1(2(5(3(0(3(x1))))))))))))))))) 5(2(5(1(4(3(3(3(3(3(3(3(1(4(5(2(2(5(1(2(x1)))))))))))))))))))) -> 1(3(2(3(1(3(4(1(0(1(2(5(0(5(5(4(5(0(4(5(x1)))))))))))))))))))) 1(5(3(1(4(2(0(1(1(0(3(5(4(1(4(5(2(0(1(0(0(x1))))))))))))))))))))) -> 1(4(0(1(1(5(0(3(4(1(2(4(1(1(4(5(4(1(3(3(0(x1))))))))))))))))))))) 4(0(1(3(0(2(0(2(0(4(0(5(0(2(1(0(2(5(5(0(2(x1))))))))))))))))))))) -> 2(0(1(3(4(1(2(3(5(2(2(4(5(0(3(5(2(1(3(x1))))))))))))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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 2. 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] {(150,151,[0_1|0, 3_1|0, 1_1|0, 2_1|0, 4_1|0, 5_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, 3_1|1, 1_1|1, 2_1|1, 4_1|1, 5_1|1]), (150,153,[4_1|2]), (150,156,[0_1|2]), (150,162,[4_1|2]), (150,173,[4_1|2]), (150,185,[4_1|2]), (150,203,[0_1|2]), (150,216,[4_1|2]), (150,233,[3_1|2]), (150,236,[5_1|2]), (150,242,[3_1|2]), (150,253,[1_1|2]), (150,265,[3_1|2]), (150,271,[1_1|2]), (150,289,[1_1|2]), (150,309,[2_1|2]), (150,317,[0_1|2]), (150,330,[4_1|2]), (150,337,[4_1|2]), (150,353,[4_1|2]), (150,370,[0_1|2]), (150,377,[4_1|2]), (150,386,[4_1|2]), (150,396,[2_1|2]), (150,414,[5_1|2]), (150,429,[1_1|2]), (151,151,[cons_0_1|0, cons_3_1|0, cons_1_1|0, cons_2_1|0, cons_4_1|0, cons_5_1|0]), (152,151,[encArg_1|1]), (152,152,[0_1|1, 3_1|1, 1_1|1, 2_1|1, 4_1|1, 5_1|1]), (152,153,[4_1|2]), (152,156,[0_1|2]), (152,162,[4_1|2]), (152,173,[4_1|2]), (152,185,[4_1|2]), (152,203,[0_1|2]), (152,216,[4_1|2]), (152,233,[3_1|2]), (152,236,[5_1|2]), (152,242,[3_1|2]), (152,253,[1_1|2]), (152,265,[3_1|2]), (152,271,[1_1|2]), (152,289,[1_1|2]), (152,309,[2_1|2]), (152,317,[0_1|2]), (152,330,[4_1|2]), (152,337,[4_1|2]), (152,353,[4_1|2]), (152,370,[0_1|2]), (152,377,[4_1|2]), (152,386,[4_1|2]), (152,396,[2_1|2]), (152,414,[5_1|2]), (152,429,[1_1|2]), (153,154,[3_1|2]), (154,155,[1_1|2]), (155,152,[3_1|2]), (155,309,[3_1|2]), (155,396,[3_1|2]), (155,233,[3_1|2]), (155,236,[5_1|2]), (155,242,[3_1|2]), (155,253,[1_1|2]), (156,157,[5_1|2]), (157,158,[5_1|2]), (158,159,[5_1|2]), (159,160,[0_1|2]), (160,161,[3_1|2]), (160,236,[5_1|2]), (161,152,[5_1|2]), (161,236,[5_1|2]), (161,414,[5_1|2]), (161,331,[5_1|2]), (161,338,[5_1|2]), (161,429,[1_1|2]), (162,163,[3_1|2]), (163,164,[0_1|2]), (164,165,[2_1|2]), (165,166,[4_1|2]), (166,167,[5_1|2]), (167,168,[3_1|2]), (168,169,[3_1|2]), (169,170,[2_1|2]), (170,171,[5_1|2]), (171,172,[0_1|2]), (172,152,[2_1|2]), (172,309,[2_1|2]), (172,396,[2_1|2]), (172,317,[0_1|2]), (173,174,[1_1|2]), (174,175,[5_1|2]), (175,176,[2_1|2]), (176,177,[5_1|2]), (177,178,[2_1|2]), (178,179,[4_1|2]), (179,180,[0_1|2]), (180,181,[1_1|2]), (181,182,[2_1|2]), (182,183,[3_1|2]), (183,184,[0_1|2]), (183,203,[0_1|2]), (183,216,[4_1|2]), (184,152,[0_1|2]), (184,156,[0_1|2]), (184,203,[0_1|2]), (184,317,[0_1|2]), (184,370,[0_1|2]), (184,237,[0_1|2]), (184,415,[0_1|2]), (184,153,[4_1|2]), (184,162,[4_1|2]), (184,173,[4_1|2]), (184,185,[4_1|2]), (184,216,[4_1|2]), (185,186,[1_1|2]), (186,187,[0_1|2]), (187,188,[3_1|2]), (188,189,[0_1|2]), (189,190,[4_1|2]), (190,191,[4_1|2]), (191,192,[0_1|2]), (192,193,[5_1|2]), (193,194,[0_1|2]), (194,195,[1_1|2]), (195,196,[5_1|2]), (196,197,[5_1|2]), (197,198,[2_1|2]), (198,199,[1_1|2]), (199,200,[1_1|2]), (200,201,[5_1|2]), (201,202,[4_1|2]), (202,152,[2_1|2]), (202,309,[2_1|2]), (202,396,[2_1|2]), (202,317,[0_1|2]), (203,204,[3_1|2]), (204,205,[4_1|2]), (205,206,[3_1|2]), (206,207,[2_1|2]), (207,208,[1_1|2]), (208,209,[2_1|2]), (209,210,[1_1|2]), (210,211,[2_1|2]), (211,212,[0_1|2]), (212,213,[2_1|2]), (213,214,[4_1|2]), (214,215,[0_1|2]), (215,152,[5_1|2]), (215,236,[5_1|2]), (215,414,[5_1|2]), (215,157,[5_1|2]), (215,318,[5_1|2]), (215,218,[5_1|2]), (215,429,[1_1|2]), (216,217,[0_1|2]), (217,218,[5_1|2]), (218,219,[4_1|2]), (219,220,[3_1|2]), (220,221,[3_1|2]), (221,222,[3_1|2]), (222,223,[4_1|2]), (223,224,[3_1|2]), (224,225,[3_1|2]), (225,226,[0_1|2]), (226,227,[2_1|2]), (227,228,[2_1|2]), (228,229,[4_1|2]), (229,230,[1_1|2]), (230,231,[5_1|2]), (231,232,[2_1|2]), (232,152,[3_1|2]), (232,236,[3_1|2, 5_1|2]), (232,414,[3_1|2]), (232,233,[3_1|2]), (232,242,[3_1|2]), (232,253,[1_1|2]), (233,234,[1_1|2]), (234,235,[1_1|2]), (234,271,[1_1|2]), (235,152,[0_1|2]), (235,156,[0_1|2]), (235,203,[0_1|2]), (235,317,[0_1|2]), (235,370,[0_1|2]), (235,397,[0_1|2]), (235,153,[4_1|2]), (235,162,[4_1|2]), (235,173,[4_1|2]), (235,185,[4_1|2]), (235,216,[4_1|2]), (236,237,[0_1|2]), (237,238,[5_1|2]), (238,239,[0_1|2]), (239,240,[0_1|2]), (239,156,[0_1|2]), (240,241,[1_1|2]), (241,152,[4_1|2]), (241,153,[4_1|2]), (241,162,[4_1|2]), (241,173,[4_1|2]), (241,185,[4_1|2]), (241,216,[4_1|2]), (241,330,[4_1|2]), (241,337,[4_1|2]), (241,353,[4_1|2]), (241,377,[4_1|2]), (241,386,[4_1|2]), (241,266,[4_1|2]), (241,370,[0_1|2]), (241,396,[2_1|2]), (242,243,[5_1|2]), (243,244,[5_1|2]), (244,245,[4_1|2]), (245,246,[4_1|2]), (246,247,[1_1|2]), (247,248,[5_1|2]), (248,249,[0_1|2]), (248,185,[4_1|2]), (249,250,[1_1|2]), (250,251,[5_1|2]), (251,252,[4_1|2]), (251,386,[4_1|2]), (252,152,[3_1|2]), (252,153,[3_1|2]), (252,162,[3_1|2]), (252,173,[3_1|2]), (252,185,[3_1|2]), (252,216,[3_1|2]), (252,330,[3_1|2]), (252,337,[3_1|2]), (252,353,[3_1|2]), (252,377,[3_1|2]), (252,386,[3_1|2]), (252,290,[3_1|2]), (252,233,[3_1|2]), (252,236,[5_1|2]), (252,242,[3_1|2]), (252,253,[1_1|2]), (253,254,[3_1|2]), (254,255,[5_1|2]), (255,256,[4_1|2]), (256,257,[1_1|2]), (257,258,[1_1|2]), (258,259,[2_1|2]), (259,260,[1_1|2]), (260,261,[0_1|2]), (261,262,[4_1|2]), (262,263,[0_1|2]), (263,264,[4_1|2]), (264,152,[2_1|2]), (264,309,[2_1|2]), (264,396,[2_1|2]), (264,317,[0_1|2]), (265,266,[4_1|2]), (266,267,[1_1|2]), (267,268,[1_1|2]), (268,269,[4_1|2]), (269,270,[5_1|2]), (270,152,[5_1|2]), (270,309,[5_1|2]), (270,396,[5_1|2]), (270,414,[5_1|2]), (270,429,[1_1|2]), (271,272,[1_1|2]), (272,273,[1_1|2]), (273,274,[4_1|2]), (274,275,[3_1|2]), (275,276,[4_1|2]), (276,277,[3_1|2]), (277,278,[4_1|2]), (278,279,[4_1|2]), (279,280,[3_1|2]), (280,281,[0_1|2]), (281,282,[3_1|2]), (282,283,[4_1|2]), (283,284,[4_1|2]), (284,285,[0_1|2]), (285,286,[1_1|2]), (286,287,[4_1|2]), (287,288,[2_1|2]), (288,152,[2_1|2]), (288,309,[2_1|2]), (288,396,[2_1|2]), (288,317,[0_1|2]), (289,290,[4_1|2]), (290,291,[0_1|2]), (291,292,[1_1|2]), (292,293,[1_1|2]), (293,294,[5_1|2]), (294,295,[0_1|2]), (295,296,[3_1|2]), (296,297,[4_1|2]), (297,298,[1_1|2]), (298,299,[2_1|2]), (299,300,[4_1|2]), (300,301,[1_1|2]), (301,302,[1_1|2]), (302,303,[4_1|2]), (303,304,[5_1|2]), (304,305,[4_1|2]), (305,306,[1_1|2]), (306,307,[3_1|2]), (307,308,[3_1|2]), (307,242,[3_1|2]), (307,253,[1_1|2]), (308,152,[0_1|2]), (308,156,[0_1|2]), (308,203,[0_1|2]), (308,317,[0_1|2]), (308,370,[0_1|2]), (308,153,[4_1|2]), (308,162,[4_1|2]), (308,173,[4_1|2]), (308,185,[4_1|2]), (308,216,[4_1|2]), (309,310,[1_1|2]), (310,311,[1_1|2]), (311,312,[2_1|2]), (312,313,[3_1|2]), (313,314,[3_1|2]), (314,315,[2_1|2]), (315,316,[0_1|2]), (315,203,[0_1|2]), (315,216,[4_1|2]), (316,152,[0_1|2]), (316,253,[0_1|2]), (316,271,[0_1|2]), (316,289,[0_1|2]), (316,429,[0_1|2]), (316,153,[4_1|2]), (316,156,[0_1|2]), (316,162,[4_1|2]), (316,173,[4_1|2]), (316,185,[4_1|2]), (316,203,[0_1|2]), (316,216,[4_1|2]), (317,318,[5_1|2]), (318,319,[4_1|2]), (319,320,[2_1|2]), (320,321,[2_1|2]), (321,322,[2_1|2]), (322,323,[4_1|2]), (323,324,[3_1|2]), (324,325,[3_1|2]), (325,326,[1_1|2]), (326,327,[3_1|2]), (327,328,[1_1|2]), (328,329,[0_1|2]), (328,203,[0_1|2]), (328,216,[4_1|2]), (329,152,[0_1|2]), (329,236,[0_1|2]), (329,414,[0_1|2]), (329,153,[4_1|2]), (329,156,[0_1|2]), (329,162,[4_1|2]), (329,173,[4_1|2]), (329,185,[4_1|2]), (329,203,[0_1|2]), (329,216,[4_1|2]), (330,331,[5_1|2]), (331,332,[4_1|2]), (332,333,[5_1|2]), (333,334,[3_1|2]), (334,335,[1_1|2]), (335,336,[4_1|2]), (335,386,[4_1|2]), (336,152,[3_1|2]), (336,309,[3_1|2]), (336,396,[3_1|2]), (336,233,[3_1|2]), (336,236,[5_1|2]), (336,242,[3_1|2]), (336,253,[1_1|2]), (337,338,[5_1|2]), (338,339,[5_1|2]), (339,340,[1_1|2]), (340,341,[1_1|2]), (341,342,[2_1|2]), (342,343,[4_1|2]), (343,344,[0_1|2]), (344,345,[3_1|2]), (345,346,[2_1|2]), (346,347,[5_1|2]), (347,348,[1_1|2]), (348,349,[2_1|2]), (349,350,[5_1|2]), (350,351,[3_1|2]), (350,242,[3_1|2]), (351,352,[0_1|2]), (352,152,[3_1|2]), (352,236,[3_1|2, 5_1|2]), (352,414,[3_1|2]), (352,331,[3_1|2]), (352,338,[3_1|2]), (352,233,[3_1|2]), (352,242,[3_1|2]), (352,253,[1_1|2]), (353,354,[3_1|2]), (354,355,[3_1|2]), (355,356,[1_1|2]), (356,357,[4_1|2]), (357,358,[4_1|2]), (358,359,[2_1|2]), (359,360,[1_1|2]), (360,361,[1_1|2]), (361,362,[3_1|2]), (362,363,[2_1|2]), (363,364,[0_1|2]), (364,365,[4_1|2]), (365,366,[2_1|2]), (366,367,[1_1|2]), (367,368,[4_1|2]), (368,369,[3_1|2]), (369,152,[1_1|2]), (369,253,[1_1|2]), (369,271,[1_1|2]), (369,289,[1_1|2]), (369,429,[1_1|2]), (369,234,[1_1|2]), (369,265,[3_1|2]), (370,371,[4_1|2]), (371,372,[3_1|2]), (372,373,[1_1|2]), (373,374,[0_1|2]), (374,375,[0_1|2]), (375,376,[3_1|2]), (375,242,[3_1|2]), (375,253,[1_1|2]), (376,152,[0_1|2]), (376,156,[0_1|2]), (376,203,[0_1|2]), (376,317,[0_1|2]), (376,370,[0_1|2]), (376,397,[0_1|2]), (376,153,[4_1|2]), (376,162,[4_1|2]), (376,173,[4_1|2]), (376,185,[4_1|2]), (376,216,[4_1|2]), (377,378,[3_1|2]), (378,379,[3_1|2]), (379,380,[0_1|2]), (380,381,[2_1|2]), (381,382,[0_1|2]), (382,383,[2_1|2]), (383,384,[2_1|2]), (384,385,[2_1|2]), (385,152,[2_1|2]), (385,309,[2_1|2]), (385,396,[2_1|2]), (385,317,[0_1|2]), (386,387,[3_1|2]), (387,388,[2_1|2]), (388,389,[2_1|2]), (389,390,[4_1|2]), (390,391,[3_1|2]), (391,392,[3_1|2]), (392,393,[1_1|2]), (393,394,[0_1|2]), (394,395,[5_1|2]), (395,152,[5_1|2]), (395,236,[5_1|2]), (395,414,[5_1|2]), (395,429,[1_1|2]), (396,397,[0_1|2]), (397,398,[1_1|2]), (398,399,[3_1|2]), (399,400,[4_1|2]), (400,401,[1_1|2]), (401,402,[2_1|2]), (402,403,[3_1|2]), (403,404,[5_1|2]), (404,405,[2_1|2]), (405,406,[2_1|2]), (406,407,[4_1|2]), (407,408,[5_1|2]), (408,409,[0_1|2]), (409,410,[3_1|2]), (410,411,[5_1|2]), (411,412,[2_1|2]), (411,309,[2_1|2]), (412,413,[1_1|2]), (413,152,[3_1|2]), (413,309,[3_1|2]), (413,396,[3_1|2]), (413,233,[3_1|2]), (413,236,[5_1|2]), (413,242,[3_1|2]), (413,253,[1_1|2]), (414,415,[0_1|2]), (415,416,[3_1|2]), (416,417,[1_1|2]), (417,418,[0_1|2]), (418,419,[1_1|2]), (419,420,[0_1|2]), (420,421,[4_1|2]), (421,422,[4_1|2]), (422,423,[3_1|2]), (423,424,[2_1|2]), (424,425,[4_1|2]), (425,426,[2_1|2]), (426,427,[1_1|2]), (427,428,[1_1|2]), (428,152,[4_1|2]), (428,153,[4_1|2]), (428,162,[4_1|2]), (428,173,[4_1|2]), (428,185,[4_1|2]), (428,216,[4_1|2]), (428,330,[4_1|2]), (428,337,[4_1|2]), (428,353,[4_1|2]), (428,377,[4_1|2]), (428,386,[4_1|2]), (428,370,[0_1|2]), (428,396,[2_1|2]), (429,430,[3_1|2]), (430,431,[2_1|2]), (431,432,[3_1|2]), (432,433,[1_1|2]), (433,434,[3_1|2]), (434,435,[4_1|2]), (435,436,[1_1|2]), (436,437,[0_1|2]), (437,438,[1_1|2]), (438,439,[2_1|2]), (439,440,[5_1|2]), (440,441,[0_1|2]), (441,442,[5_1|2]), (442,443,[5_1|2]), (443,444,[4_1|2]), (444,445,[5_1|2]), (445,446,[0_1|2]), (446,447,[4_1|2]), (446,330,[4_1|2]), (446,337,[4_1|2]), (446,353,[4_1|2]), (447,152,[5_1|2]), (447,309,[5_1|2]), (447,396,[5_1|2]), (447,414,[5_1|2]), (447,429,[1_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)