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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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, 98 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(0(1(0(0(2(x1)))))) -> 0(0(2(3(4(4(x1)))))) 3(2(4(4(1(3(x1)))))) -> 5(5(3(2(1(3(x1)))))) 5(0(1(3(2(0(x1)))))) -> 5(5(1(0(1(x1))))) 1(5(1(0(2(1(1(x1))))))) -> 1(3(2(1(1(0(4(x1))))))) 0(1(0(0(5(5(5(0(x1)))))))) -> 0(2(2(1(0(4(0(0(x1)))))))) 1(2(5(1(2(0(1(3(x1)))))))) -> 1(4(2(5(4(3(5(3(x1)))))))) 4(5(0(4(2(3(2(0(x1)))))))) -> 1(1(4(2(3(2(0(x1))))))) 0(2(4(0(1(5(4(2(3(x1))))))))) -> 2(2(0(3(4(0(0(3(3(x1))))))))) 1(5(1(3(0(5(2(0(0(x1))))))))) -> 1(1(3(2(5(0(2(2(5(x1))))))))) 5(1(0(2(4(1(4(2(1(0(x1)))))))))) -> 1(3(5(1(2(4(0(3(2(3(x1)))))))))) 0(1(2(5(0(2(0(5(0(0(1(x1))))))))))) -> 0(1(4(1(2(0(3(1(2(1(x1)))))))))) 1(3(3(2(3(1(1(5(1(4(1(2(0(x1))))))))))))) -> 1(3(5(5(4(4(4(5(5(3(2(4(3(x1))))))))))))) 2(1(4(1(5(2(4(4(2(5(0(1(0(x1))))))))))))) -> 0(2(1(0(1(4(4(3(1(0(3(0(x1)))))))))))) 2(2(1(0(0(0(5(2(2(4(1(1(1(x1))))))))))))) -> 1(1(4(0(2(5(2(0(2(2(4(2(5(x1))))))))))))) 0(3(5(5(5(3(1(0(0(5(1(4(2(1(1(x1))))))))))))))) -> 0(3(5(2(1(0(1(2(1(3(2(4(5(2(1(x1))))))))))))))) 2(0(0(4(2(5(5(1(4(3(2(3(0(1(5(x1))))))))))))))) -> 2(1(0(1(3(2(4(5(2(4(4(5(2(4(x1)))))))))))))) 2(2(5(1(0(2(3(3(5(4(5(5(3(1(2(3(x1)))))))))))))))) -> 2(4(2(1(1(1(3(5(1(0(4(3(5(3(3(x1))))))))))))))) 3(1(2(0(2(4(1(4(4(4(2(3(3(2(4(0(0(x1))))))))))))))))) -> 2(5(1(2(1(4(4(0(2(1(5(4(1(3(2(0(0(x1))))))))))))))))) 0(5(0(0(4(2(0(0(3(4(4(0(5(0(4(1(2(0(x1)))))))))))))))))) -> 0(3(5(5(3(0(4(2(2(3(2(5(1(2(4(0(2(4(x1)))))))))))))))))) 5(5(5(2(3(4(0(4(2(2(2(4(1(4(5(5(5(4(x1)))))))))))))))))) -> 3(0(1(1(2(3(3(2(2(5(0(2(1(4(3(4(4(x1))))))))))))))))) 4(1(5(4(3(2(5(4(5(2(0(2(2(2(4(1(0(2(1(0(x1)))))))))))))))))))) -> 4(5(5(2(3(2(0(4(2(0(1(4(0(4(3(1(3(2(0(0(x1)))))))))))))))))))) 2(0(4(1(2(2(3(5(3(5(3(4(4(1(5(3(0(5(1(0(2(x1))))))))))))))))))))) -> 2(2(2(4(4(2(0(0(1(4(5(3(3(3(5(3(0(4(0(3(2(x1))))))))))))))))))))) 3(2(2(4(2(5(0(4(2(3(4(0(3(0(0(4(0(5(3(5(0(x1))))))))))))))))))))) -> 1(1(4(1(5(4(1(3(2(1(5(5(1(3(5(2(0(4(4(x1))))))))))))))))))) 5(1(0(1(1(5(2(1(5(5(4(3(5(2(5(2(4(3(1(5(3(x1))))))))))))))))))))) -> 1(1(0(3(4(5(4(3(2(2(5(4(0(1(4(3(0(2(5(0(3(x1))))))))))))))))))))) 5(1(0(4(5(2(3(0(2(3(2(1(4(3(1(3(3(1(3(4(2(x1))))))))))))))))))))) -> 0(1(1(3(5(0(4(5(2(2(3(0(4(4(3(1(0(0(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) 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(0(1(0(0(2(x1)))))) -> 0(0(2(3(4(4(x1)))))) 3(2(4(4(1(3(x1)))))) -> 5(5(3(2(1(3(x1)))))) 5(0(1(3(2(0(x1)))))) -> 5(5(1(0(1(x1))))) 1(5(1(0(2(1(1(x1))))))) -> 1(3(2(1(1(0(4(x1))))))) 0(1(0(0(5(5(5(0(x1)))))))) -> 0(2(2(1(0(4(0(0(x1)))))))) 1(2(5(1(2(0(1(3(x1)))))))) -> 1(4(2(5(4(3(5(3(x1)))))))) 4(5(0(4(2(3(2(0(x1)))))))) -> 1(1(4(2(3(2(0(x1))))))) 0(2(4(0(1(5(4(2(3(x1))))))))) -> 2(2(0(3(4(0(0(3(3(x1))))))))) 1(5(1(3(0(5(2(0(0(x1))))))))) -> 1(1(3(2(5(0(2(2(5(x1))))))))) 5(1(0(2(4(1(4(2(1(0(x1)))))))))) -> 1(3(5(1(2(4(0(3(2(3(x1)))))))))) 0(1(2(5(0(2(0(5(0(0(1(x1))))))))))) -> 0(1(4(1(2(0(3(1(2(1(x1)))))))))) 1(3(3(2(3(1(1(5(1(4(1(2(0(x1))))))))))))) -> 1(3(5(5(4(4(4(5(5(3(2(4(3(x1))))))))))))) 2(1(4(1(5(2(4(4(2(5(0(1(0(x1))))))))))))) -> 0(2(1(0(1(4(4(3(1(0(3(0(x1)))))))))))) 2(2(1(0(0(0(5(2(2(4(1(1(1(x1))))))))))))) -> 1(1(4(0(2(5(2(0(2(2(4(2(5(x1))))))))))))) 0(3(5(5(5(3(1(0(0(5(1(4(2(1(1(x1))))))))))))))) -> 0(3(5(2(1(0(1(2(1(3(2(4(5(2(1(x1))))))))))))))) 2(0(0(4(2(5(5(1(4(3(2(3(0(1(5(x1))))))))))))))) -> 2(1(0(1(3(2(4(5(2(4(4(5(2(4(x1)))))))))))))) 2(2(5(1(0(2(3(3(5(4(5(5(3(1(2(3(x1)))))))))))))))) -> 2(4(2(1(1(1(3(5(1(0(4(3(5(3(3(x1))))))))))))))) 3(1(2(0(2(4(1(4(4(4(2(3(3(2(4(0(0(x1))))))))))))))))) -> 2(5(1(2(1(4(4(0(2(1(5(4(1(3(2(0(0(x1))))))))))))))))) 0(5(0(0(4(2(0(0(3(4(4(0(5(0(4(1(2(0(x1)))))))))))))))))) -> 0(3(5(5(3(0(4(2(2(3(2(5(1(2(4(0(2(4(x1)))))))))))))))))) 5(5(5(2(3(4(0(4(2(2(2(4(1(4(5(5(5(4(x1)))))))))))))))))) -> 3(0(1(1(2(3(3(2(2(5(0(2(1(4(3(4(4(x1))))))))))))))))) 4(1(5(4(3(2(5(4(5(2(0(2(2(2(4(1(0(2(1(0(x1)))))))))))))))))))) -> 4(5(5(2(3(2(0(4(2(0(1(4(0(4(3(1(3(2(0(0(x1)))))))))))))))))))) 2(0(4(1(2(2(3(5(3(5(3(4(4(1(5(3(0(5(1(0(2(x1))))))))))))))))))))) -> 2(2(2(4(4(2(0(0(1(4(5(3(3(3(5(3(0(4(0(3(2(x1))))))))))))))))))))) 3(2(2(4(2(5(0(4(2(3(4(0(3(0(0(4(0(5(3(5(0(x1))))))))))))))))))))) -> 1(1(4(1(5(4(1(3(2(1(5(5(1(3(5(2(0(4(4(x1))))))))))))))))))) 5(1(0(1(1(5(2(1(5(5(4(3(5(2(5(2(4(3(1(5(3(x1))))))))))))))))))))) -> 1(1(0(3(4(5(4(3(2(2(5(4(0(1(4(3(0(2(5(0(3(x1))))))))))))))))))))) 5(1(0(4(5(2(3(0(2(3(2(1(4(3(1(3(3(1(3(4(2(x1))))))))))))))))))))) -> 0(1(1(3(5(0(4(5(2(2(3(0(4(4(3(1(0(0(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) 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(0(1(0(0(2(x1)))))) -> 0(0(2(3(4(4(x1)))))) 3(2(4(4(1(3(x1)))))) -> 5(5(3(2(1(3(x1)))))) 5(0(1(3(2(0(x1)))))) -> 5(5(1(0(1(x1))))) 1(5(1(0(2(1(1(x1))))))) -> 1(3(2(1(1(0(4(x1))))))) 0(1(0(0(5(5(5(0(x1)))))))) -> 0(2(2(1(0(4(0(0(x1)))))))) 1(2(5(1(2(0(1(3(x1)))))))) -> 1(4(2(5(4(3(5(3(x1)))))))) 4(5(0(4(2(3(2(0(x1)))))))) -> 1(1(4(2(3(2(0(x1))))))) 0(2(4(0(1(5(4(2(3(x1))))))))) -> 2(2(0(3(4(0(0(3(3(x1))))))))) 1(5(1(3(0(5(2(0(0(x1))))))))) -> 1(1(3(2(5(0(2(2(5(x1))))))))) 5(1(0(2(4(1(4(2(1(0(x1)))))))))) -> 1(3(5(1(2(4(0(3(2(3(x1)))))))))) 0(1(2(5(0(2(0(5(0(0(1(x1))))))))))) -> 0(1(4(1(2(0(3(1(2(1(x1)))))))))) 1(3(3(2(3(1(1(5(1(4(1(2(0(x1))))))))))))) -> 1(3(5(5(4(4(4(5(5(3(2(4(3(x1))))))))))))) 2(1(4(1(5(2(4(4(2(5(0(1(0(x1))))))))))))) -> 0(2(1(0(1(4(4(3(1(0(3(0(x1)))))))))))) 2(2(1(0(0(0(5(2(2(4(1(1(1(x1))))))))))))) -> 1(1(4(0(2(5(2(0(2(2(4(2(5(x1))))))))))))) 0(3(5(5(5(3(1(0(0(5(1(4(2(1(1(x1))))))))))))))) -> 0(3(5(2(1(0(1(2(1(3(2(4(5(2(1(x1))))))))))))))) 2(0(0(4(2(5(5(1(4(3(2(3(0(1(5(x1))))))))))))))) -> 2(1(0(1(3(2(4(5(2(4(4(5(2(4(x1)))))))))))))) 2(2(5(1(0(2(3(3(5(4(5(5(3(1(2(3(x1)))))))))))))))) -> 2(4(2(1(1(1(3(5(1(0(4(3(5(3(3(x1))))))))))))))) 3(1(2(0(2(4(1(4(4(4(2(3(3(2(4(0(0(x1))))))))))))))))) -> 2(5(1(2(1(4(4(0(2(1(5(4(1(3(2(0(0(x1))))))))))))))))) 0(5(0(0(4(2(0(0(3(4(4(0(5(0(4(1(2(0(x1)))))))))))))))))) -> 0(3(5(5(3(0(4(2(2(3(2(5(1(2(4(0(2(4(x1)))))))))))))))))) 5(5(5(2(3(4(0(4(2(2(2(4(1(4(5(5(5(4(x1)))))))))))))))))) -> 3(0(1(1(2(3(3(2(2(5(0(2(1(4(3(4(4(x1))))))))))))))))) 4(1(5(4(3(2(5(4(5(2(0(2(2(2(4(1(0(2(1(0(x1)))))))))))))))))))) -> 4(5(5(2(3(2(0(4(2(0(1(4(0(4(3(1(3(2(0(0(x1)))))))))))))))))))) 2(0(4(1(2(2(3(5(3(5(3(4(4(1(5(3(0(5(1(0(2(x1))))))))))))))))))))) -> 2(2(2(4(4(2(0(0(1(4(5(3(3(3(5(3(0(4(0(3(2(x1))))))))))))))))))))) 3(2(2(4(2(5(0(4(2(3(4(0(3(0(0(4(0(5(3(5(0(x1))))))))))))))))))))) -> 1(1(4(1(5(4(1(3(2(1(5(5(1(3(5(2(0(4(4(x1))))))))))))))))))) 5(1(0(1(1(5(2(1(5(5(4(3(5(2(5(2(4(3(1(5(3(x1))))))))))))))))))))) -> 1(1(0(3(4(5(4(3(2(2(5(4(0(1(4(3(0(2(5(0(3(x1))))))))))))))))))))) 5(1(0(4(5(2(3(0(2(3(2(1(4(3(1(3(3(1(3(4(2(x1))))))))))))))))))))) -> 0(1(1(3(5(0(4(5(2(2(3(0(4(4(3(1(0(0(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) 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(0(1(0(0(2(x1)))))) -> 0(0(2(3(4(4(x1)))))) 3(2(4(4(1(3(x1)))))) -> 5(5(3(2(1(3(x1)))))) 5(0(1(3(2(0(x1)))))) -> 5(5(1(0(1(x1))))) 1(5(1(0(2(1(1(x1))))))) -> 1(3(2(1(1(0(4(x1))))))) 0(1(0(0(5(5(5(0(x1)))))))) -> 0(2(2(1(0(4(0(0(x1)))))))) 1(2(5(1(2(0(1(3(x1)))))))) -> 1(4(2(5(4(3(5(3(x1)))))))) 4(5(0(4(2(3(2(0(x1)))))))) -> 1(1(4(2(3(2(0(x1))))))) 0(2(4(0(1(5(4(2(3(x1))))))))) -> 2(2(0(3(4(0(0(3(3(x1))))))))) 1(5(1(3(0(5(2(0(0(x1))))))))) -> 1(1(3(2(5(0(2(2(5(x1))))))))) 5(1(0(2(4(1(4(2(1(0(x1)))))))))) -> 1(3(5(1(2(4(0(3(2(3(x1)))))))))) 0(1(2(5(0(2(0(5(0(0(1(x1))))))))))) -> 0(1(4(1(2(0(3(1(2(1(x1)))))))))) 1(3(3(2(3(1(1(5(1(4(1(2(0(x1))))))))))))) -> 1(3(5(5(4(4(4(5(5(3(2(4(3(x1))))))))))))) 2(1(4(1(5(2(4(4(2(5(0(1(0(x1))))))))))))) -> 0(2(1(0(1(4(4(3(1(0(3(0(x1)))))))))))) 2(2(1(0(0(0(5(2(2(4(1(1(1(x1))))))))))))) -> 1(1(4(0(2(5(2(0(2(2(4(2(5(x1))))))))))))) 0(3(5(5(5(3(1(0(0(5(1(4(2(1(1(x1))))))))))))))) -> 0(3(5(2(1(0(1(2(1(3(2(4(5(2(1(x1))))))))))))))) 2(0(0(4(2(5(5(1(4(3(2(3(0(1(5(x1))))))))))))))) -> 2(1(0(1(3(2(4(5(2(4(4(5(2(4(x1)))))))))))))) 2(2(5(1(0(2(3(3(5(4(5(5(3(1(2(3(x1)))))))))))))))) -> 2(4(2(1(1(1(3(5(1(0(4(3(5(3(3(x1))))))))))))))) 3(1(2(0(2(4(1(4(4(4(2(3(3(2(4(0(0(x1))))))))))))))))) -> 2(5(1(2(1(4(4(0(2(1(5(4(1(3(2(0(0(x1))))))))))))))))) 0(5(0(0(4(2(0(0(3(4(4(0(5(0(4(1(2(0(x1)))))))))))))))))) -> 0(3(5(5(3(0(4(2(2(3(2(5(1(2(4(0(2(4(x1)))))))))))))))))) 5(5(5(2(3(4(0(4(2(2(2(4(1(4(5(5(5(4(x1)))))))))))))))))) -> 3(0(1(1(2(3(3(2(2(5(0(2(1(4(3(4(4(x1))))))))))))))))) 4(1(5(4(3(2(5(4(5(2(0(2(2(2(4(1(0(2(1(0(x1)))))))))))))))))))) -> 4(5(5(2(3(2(0(4(2(0(1(4(0(4(3(1(3(2(0(0(x1)))))))))))))))))))) 2(0(4(1(2(2(3(5(3(5(3(4(4(1(5(3(0(5(1(0(2(x1))))))))))))))))))))) -> 2(2(2(4(4(2(0(0(1(4(5(3(3(3(5(3(0(4(0(3(2(x1))))))))))))))))))))) 3(2(2(4(2(5(0(4(2(3(4(0(3(0(0(4(0(5(3(5(0(x1))))))))))))))))))))) -> 1(1(4(1(5(4(1(3(2(1(5(5(1(3(5(2(0(4(4(x1))))))))))))))))))) 5(1(0(1(1(5(2(1(5(5(4(3(5(2(5(2(4(3(1(5(3(x1))))))))))))))))))))) -> 1(1(0(3(4(5(4(3(2(2(5(4(0(1(4(3(0(2(5(0(3(x1))))))))))))))))))))) 5(1(0(4(5(2(3(0(2(3(2(1(4(3(1(3(3(1(3(4(2(x1))))))))))))))))))))) -> 0(1(1(3(5(0(4(5(2(2(3(0(4(4(3(1(0(0(1(3(x1)))))))))))))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) 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. "[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] {(151,152,[0_1|0, 3_1|0, 5_1|0, 1_1|0, 4_1|0, 2_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, 3_1|1, 5_1|1, 1_1|1, 4_1|1, 2_1|1]), (151,154,[0_1|2]), (151,159,[0_1|2]), (151,166,[0_1|2]), (151,175,[2_1|2]), (151,183,[0_1|2]), (151,197,[0_1|2]), (151,214,[5_1|2]), (151,219,[1_1|2]), (151,237,[2_1|2]), (151,253,[5_1|2]), (151,257,[1_1|2]), (151,266,[1_1|2]), (151,286,[0_1|2]), (151,305,[3_1|2]), (151,321,[1_1|2]), (151,327,[1_1|2]), (151,335,[1_1|2]), (151,342,[1_1|2]), (151,354,[1_1|2]), (151,360,[4_1|2]), (151,379,[0_1|2]), (151,390,[1_1|2]), (151,402,[2_1|2]), (151,416,[2_1|2]), (151,429,[2_1|2]), (152,152,[cons_0_1|0, cons_3_1|0, cons_5_1|0, cons_1_1|0, cons_4_1|0, cons_2_1|0]), (153,152,[encArg_1|1]), (153,153,[0_1|1, 3_1|1, 5_1|1, 1_1|1, 4_1|1, 2_1|1]), (153,154,[0_1|2]), (153,159,[0_1|2]), (153,166,[0_1|2]), (153,175,[2_1|2]), (153,183,[0_1|2]), (153,197,[0_1|2]), (153,214,[5_1|2]), (153,219,[1_1|2]), (153,237,[2_1|2]), (153,253,[5_1|2]), (153,257,[1_1|2]), (153,266,[1_1|2]), (153,286,[0_1|2]), (153,305,[3_1|2]), (153,321,[1_1|2]), (153,327,[1_1|2]), (153,335,[1_1|2]), (153,342,[1_1|2]), (153,354,[1_1|2]), (153,360,[4_1|2]), (153,379,[0_1|2]), (153,390,[1_1|2]), (153,402,[2_1|2]), (153,416,[2_1|2]), (153,429,[2_1|2]), (154,155,[0_1|2]), (155,156,[2_1|2]), (156,157,[3_1|2]), (157,158,[4_1|2]), (158,153,[4_1|2]), (158,175,[4_1|2]), (158,237,[4_1|2]), (158,402,[4_1|2]), (158,416,[4_1|2]), (158,429,[4_1|2]), (158,160,[4_1|2]), (158,380,[4_1|2]), (158,156,[4_1|2]), (158,354,[1_1|2]), (158,360,[4_1|2]), (159,160,[2_1|2]), (160,161,[2_1|2]), (161,162,[1_1|2]), (162,163,[0_1|2]), (163,164,[4_1|2]), (164,165,[0_1|2]), (164,154,[0_1|2]), (165,153,[0_1|2]), (165,154,[0_1|2]), (165,159,[0_1|2]), (165,166,[0_1|2]), (165,183,[0_1|2]), (165,197,[0_1|2]), (165,286,[0_1|2]), (165,379,[0_1|2]), (165,175,[2_1|2]), (166,167,[1_1|2]), (167,168,[4_1|2]), (168,169,[1_1|2]), (169,170,[2_1|2]), (170,171,[0_1|2]), (171,172,[3_1|2]), (172,173,[1_1|2]), (173,174,[2_1|2]), (173,379,[0_1|2]), (174,153,[1_1|2]), (174,219,[1_1|2]), (174,257,[1_1|2]), (174,266,[1_1|2]), (174,321,[1_1|2]), (174,327,[1_1|2]), (174,335,[1_1|2]), (174,342,[1_1|2]), (174,354,[1_1|2]), (174,390,[1_1|2]), (174,167,[1_1|2]), (174,287,[1_1|2]), (175,176,[2_1|2]), (176,177,[0_1|2]), (177,178,[3_1|2]), (178,179,[4_1|2]), (179,180,[0_1|2]), (180,181,[0_1|2]), (181,182,[3_1|2]), (182,153,[3_1|2]), (182,305,[3_1|2]), (182,214,[5_1|2]), (182,219,[1_1|2]), (182,237,[2_1|2]), (183,184,[3_1|2]), (184,185,[5_1|2]), (185,186,[2_1|2]), (186,187,[1_1|2]), (187,188,[0_1|2]), (188,189,[1_1|2]), (189,190,[2_1|2]), (190,191,[1_1|2]), (191,192,[3_1|2]), (192,193,[2_1|2]), (193,194,[4_1|2]), (194,195,[5_1|2]), (195,196,[2_1|2]), (195,379,[0_1|2]), (196,153,[1_1|2]), (196,219,[1_1|2]), (196,257,[1_1|2]), (196,266,[1_1|2]), (196,321,[1_1|2]), (196,327,[1_1|2]), (196,335,[1_1|2]), (196,342,[1_1|2]), (196,354,[1_1|2]), (196,390,[1_1|2]), (196,220,[1_1|2]), (196,267,[1_1|2]), (196,328,[1_1|2]), (196,355,[1_1|2]), (196,391,[1_1|2]), (197,198,[3_1|2]), (198,199,[5_1|2]), (199,200,[5_1|2]), (200,201,[3_1|2]), (201,202,[0_1|2]), (202,203,[4_1|2]), (203,204,[2_1|2]), (204,205,[2_1|2]), (205,206,[3_1|2]), (206,207,[2_1|2]), (207,208,[5_1|2]), (208,209,[1_1|2]), (209,210,[2_1|2]), (210,211,[4_1|2]), (211,212,[0_1|2]), (211,175,[2_1|2]), (212,213,[2_1|2]), (213,153,[4_1|2]), (213,154,[4_1|2]), (213,159,[4_1|2]), (213,166,[4_1|2]), (213,183,[4_1|2]), (213,197,[4_1|2]), (213,286,[4_1|2]), (213,379,[4_1|2]), (213,354,[1_1|2]), (213,360,[4_1|2]), (214,215,[5_1|2]), (215,216,[3_1|2]), (216,217,[2_1|2]), (217,218,[1_1|2]), (217,342,[1_1|2]), (218,153,[3_1|2]), (218,305,[3_1|2]), (218,258,[3_1|2]), (218,322,[3_1|2]), (218,343,[3_1|2]), (218,214,[5_1|2]), (218,219,[1_1|2]), (218,237,[2_1|2]), (219,220,[1_1|2]), (220,221,[4_1|2]), (221,222,[1_1|2]), (222,223,[5_1|2]), (223,224,[4_1|2]), (224,225,[1_1|2]), (225,226,[3_1|2]), (226,227,[2_1|2]), (227,228,[1_1|2]), (228,229,[5_1|2]), (229,230,[5_1|2]), (230,231,[1_1|2]), (231,232,[3_1|2]), (232,233,[5_1|2]), (233,234,[2_1|2]), (234,235,[0_1|2]), (235,236,[4_1|2]), (236,153,[4_1|2]), (236,154,[4_1|2]), (236,159,[4_1|2]), (236,166,[4_1|2]), (236,183,[4_1|2]), (236,197,[4_1|2]), (236,286,[4_1|2]), (236,379,[4_1|2]), (236,354,[1_1|2]), (236,360,[4_1|2]), (237,238,[5_1|2]), (238,239,[1_1|2]), (239,240,[2_1|2]), (240,241,[1_1|2]), (241,242,[4_1|2]), (242,243,[4_1|2]), (243,244,[0_1|2]), (244,245,[2_1|2]), (245,246,[1_1|2]), (246,247,[5_1|2]), (247,248,[4_1|2]), (248,249,[1_1|2]), (249,250,[3_1|2]), (250,251,[2_1|2]), (250,416,[2_1|2]), (251,252,[0_1|2]), (251,154,[0_1|2]), (252,153,[0_1|2]), (252,154,[0_1|2]), (252,159,[0_1|2]), (252,166,[0_1|2]), (252,183,[0_1|2]), (252,197,[0_1|2]), (252,286,[0_1|2]), (252,379,[0_1|2]), (252,155,[0_1|2]), (252,175,[2_1|2]), (253,254,[5_1|2]), (253,266,[1_1|2]), (254,255,[1_1|2]), (255,256,[0_1|2]), (255,159,[0_1|2]), (255,166,[0_1|2]), (256,153,[1_1|2]), (256,154,[1_1|2]), (256,159,[1_1|2]), (256,166,[1_1|2]), (256,183,[1_1|2]), (256,197,[1_1|2]), (256,286,[1_1|2]), (256,379,[1_1|2]), (256,321,[1_1|2]), (256,327,[1_1|2]), (256,335,[1_1|2]), (256,342,[1_1|2]), (257,258,[3_1|2]), (258,259,[5_1|2]), (259,260,[1_1|2]), (260,261,[2_1|2]), (261,262,[4_1|2]), (262,263,[0_1|2]), (263,264,[3_1|2]), (264,265,[2_1|2]), (265,153,[3_1|2]), (265,154,[3_1|2]), (265,159,[3_1|2]), (265,166,[3_1|2]), (265,183,[3_1|2]), (265,197,[3_1|2]), (265,286,[3_1|2]), (265,379,[3_1|2]), (265,418,[3_1|2]), (265,214,[5_1|2]), (265,219,[1_1|2]), (265,237,[2_1|2]), (266,267,[1_1|2]), (267,268,[0_1|2]), (268,269,[3_1|2]), (269,270,[4_1|2]), (270,271,[5_1|2]), (271,272,[4_1|2]), (272,273,[3_1|2]), (273,274,[2_1|2]), (274,275,[2_1|2]), (275,276,[5_1|2]), (276,277,[4_1|2]), (277,278,[0_1|2]), (278,279,[1_1|2]), (279,280,[4_1|2]), (280,281,[3_1|2]), (281,282,[0_1|2]), (282,283,[2_1|2]), (283,284,[5_1|2]), (284,285,[0_1|2]), (284,183,[0_1|2]), (285,153,[3_1|2]), (285,305,[3_1|2]), (285,214,[5_1|2]), (285,219,[1_1|2]), (285,237,[2_1|2]), (286,287,[1_1|2]), (287,288,[1_1|2]), (288,289,[3_1|2]), (289,290,[5_1|2]), (290,291,[0_1|2]), (291,292,[4_1|2]), (292,293,[5_1|2]), (293,294,[2_1|2]), (294,295,[2_1|2]), (295,296,[3_1|2]), (296,297,[0_1|2]), (297,298,[4_1|2]), (298,299,[4_1|2]), (299,300,[3_1|2]), (300,301,[1_1|2]), (301,302,[0_1|2]), (302,303,[0_1|2]), (303,304,[1_1|2]), (303,342,[1_1|2]), (304,153,[3_1|2]), (304,175,[3_1|2]), (304,237,[3_1|2, 2_1|2]), (304,402,[3_1|2]), (304,416,[3_1|2]), (304,429,[3_1|2]), (304,214,[5_1|2]), (304,219,[1_1|2]), (305,306,[0_1|2]), (306,307,[1_1|2]), (307,308,[1_1|2]), (308,309,[2_1|2]), (309,310,[3_1|2]), (310,311,[3_1|2]), (311,312,[2_1|2]), (312,313,[2_1|2]), (313,314,[5_1|2]), (314,315,[0_1|2]), (315,316,[2_1|2]), (316,317,[1_1|2]), (317,318,[4_1|2]), (318,319,[3_1|2]), (319,320,[4_1|2]), (320,153,[4_1|2]), (320,360,[4_1|2]), (320,354,[1_1|2]), (321,322,[3_1|2]), (322,323,[2_1|2]), (323,324,[1_1|2]), (324,325,[1_1|2]), (325,326,[0_1|2]), (326,153,[4_1|2]), (326,219,[4_1|2]), (326,257,[4_1|2]), (326,266,[4_1|2]), (326,321,[4_1|2]), (326,327,[4_1|2]), (326,335,[4_1|2]), (326,342,[4_1|2]), (326,354,[4_1|2, 1_1|2]), (326,390,[4_1|2]), (326,220,[4_1|2]), (326,267,[4_1|2]), (326,328,[4_1|2]), (326,355,[4_1|2]), (326,391,[4_1|2]), (326,360,[4_1|2]), (327,328,[1_1|2]), (328,329,[3_1|2]), (329,330,[2_1|2]), (330,331,[5_1|2]), (331,332,[0_1|2]), (332,333,[2_1|2]), (332,402,[2_1|2]), (333,334,[2_1|2]), (334,153,[5_1|2]), (334,154,[5_1|2]), (334,159,[5_1|2]), (334,166,[5_1|2]), (334,183,[5_1|2]), (334,197,[5_1|2]), (334,286,[5_1|2, 0_1|2]), (334,379,[5_1|2]), (334,155,[5_1|2]), (334,253,[5_1|2]), (334,257,[1_1|2]), (334,266,[1_1|2]), (334,305,[3_1|2]), (335,336,[4_1|2]), (336,337,[2_1|2]), (337,338,[5_1|2]), (338,339,[4_1|2]), (339,340,[3_1|2]), (340,341,[5_1|2]), (341,153,[3_1|2]), (341,305,[3_1|2]), (341,258,[3_1|2]), (341,322,[3_1|2]), (341,343,[3_1|2]), (341,214,[5_1|2]), (341,219,[1_1|2]), (341,237,[2_1|2]), (342,343,[3_1|2]), (343,344,[5_1|2]), (344,345,[5_1|2]), (345,346,[4_1|2]), (346,347,[4_1|2]), (347,348,[4_1|2]), (348,349,[5_1|2]), (349,350,[5_1|2]), (350,351,[3_1|2]), (351,352,[2_1|2]), (352,353,[4_1|2]), (353,153,[3_1|2]), (353,154,[3_1|2]), (353,159,[3_1|2]), (353,166,[3_1|2]), (353,183,[3_1|2]), (353,197,[3_1|2]), (353,286,[3_1|2]), (353,379,[3_1|2]), (353,214,[5_1|2]), (353,219,[1_1|2]), (353,237,[2_1|2]), (354,355,[1_1|2]), (355,356,[4_1|2]), (356,357,[2_1|2]), (357,358,[3_1|2]), (358,359,[2_1|2]), (358,416,[2_1|2]), (358,429,[2_1|2]), (359,153,[0_1|2]), (359,154,[0_1|2]), (359,159,[0_1|2]), (359,166,[0_1|2]), (359,183,[0_1|2]), (359,197,[0_1|2]), (359,286,[0_1|2]), (359,379,[0_1|2]), (359,175,[2_1|2]), (360,361,[5_1|2]), (361,362,[5_1|2]), (362,363,[2_1|2]), (363,364,[3_1|2]), (364,365,[2_1|2]), (365,366,[0_1|2]), (366,367,[4_1|2]), (367,368,[2_1|2]), (368,369,[0_1|2]), (369,370,[1_1|2]), (370,371,[4_1|2]), (371,372,[0_1|2]), (372,373,[4_1|2]), (373,374,[3_1|2]), (374,375,[1_1|2]), (375,376,[3_1|2]), (376,377,[2_1|2]), (376,416,[2_1|2]), (377,378,[0_1|2]), (377,154,[0_1|2]), (378,153,[0_1|2]), (378,154,[0_1|2]), (378,159,[0_1|2]), (378,166,[0_1|2]), (378,183,[0_1|2]), (378,197,[0_1|2]), (378,286,[0_1|2]), (378,379,[0_1|2]), (378,418,[0_1|2]), (378,382,[0_1|2]), (378,175,[2_1|2]), (379,380,[2_1|2]), (380,381,[1_1|2]), (381,382,[0_1|2]), (382,383,[1_1|2]), (383,384,[4_1|2]), (384,385,[4_1|2]), (385,386,[3_1|2]), (386,387,[1_1|2]), (387,388,[0_1|2]), (388,389,[3_1|2]), (389,153,[0_1|2]), (389,154,[0_1|2]), (389,159,[0_1|2]), (389,166,[0_1|2]), (389,183,[0_1|2]), (389,197,[0_1|2]), (389,286,[0_1|2]), (389,379,[0_1|2]), (389,175,[2_1|2]), (390,391,[1_1|2]), (391,392,[4_1|2]), (392,393,[0_1|2]), (393,394,[2_1|2]), (394,395,[5_1|2]), (395,396,[2_1|2]), (396,397,[0_1|2]), (397,398,[2_1|2]), (398,399,[2_1|2]), (399,400,[4_1|2]), (400,401,[2_1|2]), (401,153,[5_1|2]), (401,219,[5_1|2]), (401,257,[5_1|2, 1_1|2]), (401,266,[5_1|2, 1_1|2]), (401,321,[5_1|2]), (401,327,[5_1|2]), (401,335,[5_1|2]), (401,342,[5_1|2]), (401,354,[5_1|2]), (401,390,[5_1|2]), (401,220,[5_1|2]), (401,267,[5_1|2]), (401,328,[5_1|2]), (401,355,[5_1|2]), (401,391,[5_1|2]), (401,253,[5_1|2]), (401,286,[0_1|2]), (401,305,[3_1|2]), (402,403,[4_1|2]), (403,404,[2_1|2]), (404,405,[1_1|2]), (405,406,[1_1|2]), (406,407,[1_1|2]), (407,408,[3_1|2]), (408,409,[5_1|2]), (409,410,[1_1|2]), (410,411,[0_1|2]), (411,412,[4_1|2]), (412,413,[3_1|2]), (413,414,[5_1|2]), (414,415,[3_1|2]), (415,153,[3_1|2]), (415,305,[3_1|2]), (415,214,[5_1|2]), (415,219,[1_1|2]), (415,237,[2_1|2]), (416,417,[1_1|2]), (417,418,[0_1|2]), (418,419,[1_1|2]), (419,420,[3_1|2]), (420,421,[2_1|2]), (421,422,[4_1|2]), (422,423,[5_1|2]), (423,424,[2_1|2]), (424,425,[4_1|2]), (425,426,[4_1|2]), (426,427,[5_1|2]), (427,428,[2_1|2]), (428,153,[4_1|2]), (428,214,[4_1|2]), (428,253,[4_1|2]), (428,354,[1_1|2]), (428,360,[4_1|2]), (429,430,[2_1|2]), (430,431,[2_1|2]), (431,432,[4_1|2]), (432,433,[4_1|2]), (433,434,[2_1|2]), (434,435,[0_1|2]), (435,436,[0_1|2]), (436,437,[1_1|2]), (437,438,[4_1|2]), (438,439,[5_1|2]), (439,440,[3_1|2]), (440,441,[3_1|2]), (441,442,[3_1|2]), (442,443,[5_1|2]), (443,444,[3_1|2]), (444,445,[0_1|2]), (445,446,[4_1|2]), (446,447,[0_1|2]), (447,448,[3_1|2]), (447,214,[5_1|2]), (447,219,[1_1|2]), (448,153,[2_1|2]), (448,175,[2_1|2]), (448,237,[2_1|2]), (448,402,[2_1|2]), (448,416,[2_1|2]), (448,429,[2_1|2]), (448,160,[2_1|2]), (448,380,[2_1|2]), (448,379,[0_1|2]), (448,390,[1_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)