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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 94 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(x1))) -> 0(3(3(x1))) 0(4(2(5(3(2(x1)))))) -> 0(1(2(4(0(x1))))) 4(4(1(4(2(1(1(x1))))))) -> 5(0(1(1(1(5(x1)))))) 4(5(0(3(2(5(3(x1))))))) -> 4(1(1(0(2(3(x1)))))) 0(0(1(0(0(3(5(3(x1)))))))) -> 0(0(0(2(3(2(2(3(x1)))))))) 5(1(1(3(1(5(4(2(x1)))))))) -> 5(5(3(4(4(2(0(2(x1)))))))) 1(1(0(0(5(2(5(2(2(x1))))))))) -> 1(3(1(1(5(3(3(5(1(x1))))))))) 4(3(2(4(0(0(2(2(3(5(0(x1))))))))))) -> 1(0(5(2(2(5(2(1(5(5(x1)))))))))) 5(1(2(5(5(2(4(1(1(5(2(x1))))))))))) -> 5(1(5(2(0(3(5(0(1(4(1(x1))))))))))) 1(0(4(3(2(1(4(1(5(1(1(2(x1)))))))))))) -> 4(2(0(3(3(5(3(1(4(5(3(3(5(x1))))))))))))) 5(2(0(5(0(1(1(1(2(4(4(2(x1)))))))))))) -> 5(2(0(2(0(3(3(0(0(4(2(4(x1)))))))))))) 4(1(5(5(5(3(3(1(3(3(3(4(5(x1))))))))))))) -> 4(1(4(3(4(5(1(1(1(1(2(5(x1)))))))))))) 1(1(5(5(0(3(1(4(0(0(3(5(5(4(x1)))))))))))))) -> 0(1(3(1(3(0(3(4(5(0(4(1(5(4(x1)))))))))))))) 3(1(3(0(1(4(5(2(5(0(2(2(4(3(x1)))))))))))))) -> 3(0(5(2(2(0(4(5(2(1(5(5(5(x1))))))))))))) 5(3(1(5(4(5(4(5(1(1(1(2(2(1(5(2(x1)))))))))))))))) -> 5(0(0(5(2(3(2(4(4(1(1(1(5(5(5(x1))))))))))))))) 0(3(0(2(1(3(4(2(1(5(2(4(3(0(1(0(2(x1))))))))))))))))) -> 2(0(4(5(5(2(0(0(1(0(3(2(5(4(1(3(3(x1))))))))))))))))) 1(2(0(4(4(0(3(0(5(2(4(0(3(3(1(1(4(x1))))))))))))))))) -> 4(5(4(0(4(3(5(0(2(5(0(5(3(0(3(1(4(x1))))))))))))))))) 4(0(1(5(4(1(3(5(5(0(0(5(4(5(4(0(5(4(x1)))))))))))))))))) -> 2(1(2(5(0(0(4(1(0(1(5(5(4(5(2(4(1(4(x1)))))))))))))))))) 4(4(4(4(4(1(3(4(1(5(1(4(0(1(4(0(4(5(x1)))))))))))))))))) -> 4(2(2(3(1(2(3(5(4(3(3(4(2(1(2(0(3(4(5(x1))))))))))))))))))) 4(3(3(3(5(5(1(2(5(0(4(1(4(4(2(3(0(4(2(x1))))))))))))))))))) -> 4(3(4(5(5(0(2(5(5(0(2(2(5(2(0(0(3(3(x1)))))))))))))))))) 0(3(2(2(5(4(0(2(4(0(1(3(3(1(0(3(4(3(1(5(x1)))))))))))))))))))) -> 0(3(1(0(5(4(3(2(0(3(3(4(1(0(4(3(3(3(1(1(x1)))))))))))))))))))) 1(0(5(2(2(3(2(0(5(5(3(4(4(3(1(0(0(2(1(2(x1)))))))))))))))))))) -> 1(3(1(4(5(3(3(3(3(0(2(5(1(4(5(4(3(1(5(1(x1)))))))))))))))))))) 5(4(4(2(2(2(3(0(1(5(3(5(1(0(2(3(1(5(4(1(x1)))))))))))))))))))) -> 5(1(0(5(1(1(3(0(5(0(3(5(5(2(4(0(1(5(5(x1))))))))))))))))))) 3(0(2(2(2(0(0(4(3(2(2(5(5(0(3(2(1(2(2(2(0(x1))))))))))))))))))))) -> 5(2(2(5(1(3(5(0(3(2(1(1(1(0(4(5(3(4(0(5(x1)))))))))))))))))))) 4(4(1(2(0(1(2(3(1(0(1(0(0(3(3(4(4(1(1(1(2(x1))))))))))))))))))))) -> 4(1(0(1(0(3(1(4(1(5(3(3(3(0(1(2(3(1(2(5(1(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(2(x_1)) -> 2(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(x1))) -> 0(3(3(x1))) 0(4(2(5(3(2(x1)))))) -> 0(1(2(4(0(x1))))) 4(4(1(4(2(1(1(x1))))))) -> 5(0(1(1(1(5(x1)))))) 4(5(0(3(2(5(3(x1))))))) -> 4(1(1(0(2(3(x1)))))) 0(0(1(0(0(3(5(3(x1)))))))) -> 0(0(0(2(3(2(2(3(x1)))))))) 5(1(1(3(1(5(4(2(x1)))))))) -> 5(5(3(4(4(2(0(2(x1)))))))) 1(1(0(0(5(2(5(2(2(x1))))))))) -> 1(3(1(1(5(3(3(5(1(x1))))))))) 4(3(2(4(0(0(2(2(3(5(0(x1))))))))))) -> 1(0(5(2(2(5(2(1(5(5(x1)))))))))) 5(1(2(5(5(2(4(1(1(5(2(x1))))))))))) -> 5(1(5(2(0(3(5(0(1(4(1(x1))))))))))) 1(0(4(3(2(1(4(1(5(1(1(2(x1)))))))))))) -> 4(2(0(3(3(5(3(1(4(5(3(3(5(x1))))))))))))) 5(2(0(5(0(1(1(1(2(4(4(2(x1)))))))))))) -> 5(2(0(2(0(3(3(0(0(4(2(4(x1)))))))))))) 4(1(5(5(5(3(3(1(3(3(3(4(5(x1))))))))))))) -> 4(1(4(3(4(5(1(1(1(1(2(5(x1)))))))))))) 1(1(5(5(0(3(1(4(0(0(3(5(5(4(x1)))))))))))))) -> 0(1(3(1(3(0(3(4(5(0(4(1(5(4(x1)))))))))))))) 3(1(3(0(1(4(5(2(5(0(2(2(4(3(x1)))))))))))))) -> 3(0(5(2(2(0(4(5(2(1(5(5(5(x1))))))))))))) 5(3(1(5(4(5(4(5(1(1(1(2(2(1(5(2(x1)))))))))))))))) -> 5(0(0(5(2(3(2(4(4(1(1(1(5(5(5(x1))))))))))))))) 0(3(0(2(1(3(4(2(1(5(2(4(3(0(1(0(2(x1))))))))))))))))) -> 2(0(4(5(5(2(0(0(1(0(3(2(5(4(1(3(3(x1))))))))))))))))) 1(2(0(4(4(0(3(0(5(2(4(0(3(3(1(1(4(x1))))))))))))))))) -> 4(5(4(0(4(3(5(0(2(5(0(5(3(0(3(1(4(x1))))))))))))))))) 4(0(1(5(4(1(3(5(5(0(0(5(4(5(4(0(5(4(x1)))))))))))))))))) -> 2(1(2(5(0(0(4(1(0(1(5(5(4(5(2(4(1(4(x1)))))))))))))))))) 4(4(4(4(4(1(3(4(1(5(1(4(0(1(4(0(4(5(x1)))))))))))))))))) -> 4(2(2(3(1(2(3(5(4(3(3(4(2(1(2(0(3(4(5(x1))))))))))))))))))) 4(3(3(3(5(5(1(2(5(0(4(1(4(4(2(3(0(4(2(x1))))))))))))))))))) -> 4(3(4(5(5(0(2(5(5(0(2(2(5(2(0(0(3(3(x1)))))))))))))))))) 0(3(2(2(5(4(0(2(4(0(1(3(3(1(0(3(4(3(1(5(x1)))))))))))))))))))) -> 0(3(1(0(5(4(3(2(0(3(3(4(1(0(4(3(3(3(1(1(x1)))))))))))))))))))) 1(0(5(2(2(3(2(0(5(5(3(4(4(3(1(0(0(2(1(2(x1)))))))))))))))))))) -> 1(3(1(4(5(3(3(3(3(0(2(5(1(4(5(4(3(1(5(1(x1)))))))))))))))))))) 5(4(4(2(2(2(3(0(1(5(3(5(1(0(2(3(1(5(4(1(x1)))))))))))))))))))) -> 5(1(0(5(1(1(3(0(5(0(3(5(5(2(4(0(1(5(5(x1))))))))))))))))))) 3(0(2(2(2(0(0(4(3(2(2(5(5(0(3(2(1(2(2(2(0(x1))))))))))))))))))))) -> 5(2(2(5(1(3(5(0(3(2(1(1(1(0(4(5(3(4(0(5(x1)))))))))))))))))))) 4(4(1(2(0(1(2(3(1(0(1(0(0(3(3(4(4(1(1(1(2(x1))))))))))))))))))))) -> 4(1(0(1(0(3(1(4(1(5(3(3(3(0(1(2(3(1(2(5(1(x1))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(2(x_1)) -> 2(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(x1))) -> 0(3(3(x1))) 0(4(2(5(3(2(x1)))))) -> 0(1(2(4(0(x1))))) 4(4(1(4(2(1(1(x1))))))) -> 5(0(1(1(1(5(x1)))))) 4(5(0(3(2(5(3(x1))))))) -> 4(1(1(0(2(3(x1)))))) 0(0(1(0(0(3(5(3(x1)))))))) -> 0(0(0(2(3(2(2(3(x1)))))))) 5(1(1(3(1(5(4(2(x1)))))))) -> 5(5(3(4(4(2(0(2(x1)))))))) 1(1(0(0(5(2(5(2(2(x1))))))))) -> 1(3(1(1(5(3(3(5(1(x1))))))))) 4(3(2(4(0(0(2(2(3(5(0(x1))))))))))) -> 1(0(5(2(2(5(2(1(5(5(x1)))))))))) 5(1(2(5(5(2(4(1(1(5(2(x1))))))))))) -> 5(1(5(2(0(3(5(0(1(4(1(x1))))))))))) 1(0(4(3(2(1(4(1(5(1(1(2(x1)))))))))))) -> 4(2(0(3(3(5(3(1(4(5(3(3(5(x1))))))))))))) 5(2(0(5(0(1(1(1(2(4(4(2(x1)))))))))))) -> 5(2(0(2(0(3(3(0(0(4(2(4(x1)))))))))))) 4(1(5(5(5(3(3(1(3(3(3(4(5(x1))))))))))))) -> 4(1(4(3(4(5(1(1(1(1(2(5(x1)))))))))))) 1(1(5(5(0(3(1(4(0(0(3(5(5(4(x1)))))))))))))) -> 0(1(3(1(3(0(3(4(5(0(4(1(5(4(x1)))))))))))))) 3(1(3(0(1(4(5(2(5(0(2(2(4(3(x1)))))))))))))) -> 3(0(5(2(2(0(4(5(2(1(5(5(5(x1))))))))))))) 5(3(1(5(4(5(4(5(1(1(1(2(2(1(5(2(x1)))))))))))))))) -> 5(0(0(5(2(3(2(4(4(1(1(1(5(5(5(x1))))))))))))))) 0(3(0(2(1(3(4(2(1(5(2(4(3(0(1(0(2(x1))))))))))))))))) -> 2(0(4(5(5(2(0(0(1(0(3(2(5(4(1(3(3(x1))))))))))))))))) 1(2(0(4(4(0(3(0(5(2(4(0(3(3(1(1(4(x1))))))))))))))))) -> 4(5(4(0(4(3(5(0(2(5(0(5(3(0(3(1(4(x1))))))))))))))))) 4(0(1(5(4(1(3(5(5(0(0(5(4(5(4(0(5(4(x1)))))))))))))))))) -> 2(1(2(5(0(0(4(1(0(1(5(5(4(5(2(4(1(4(x1)))))))))))))))))) 4(4(4(4(4(1(3(4(1(5(1(4(0(1(4(0(4(5(x1)))))))))))))))))) -> 4(2(2(3(1(2(3(5(4(3(3(4(2(1(2(0(3(4(5(x1))))))))))))))))))) 4(3(3(3(5(5(1(2(5(0(4(1(4(4(2(3(0(4(2(x1))))))))))))))))))) -> 4(3(4(5(5(0(2(5(5(0(2(2(5(2(0(0(3(3(x1)))))))))))))))))) 0(3(2(2(5(4(0(2(4(0(1(3(3(1(0(3(4(3(1(5(x1)))))))))))))))))))) -> 0(3(1(0(5(4(3(2(0(3(3(4(1(0(4(3(3(3(1(1(x1)))))))))))))))))))) 1(0(5(2(2(3(2(0(5(5(3(4(4(3(1(0(0(2(1(2(x1)))))))))))))))))))) -> 1(3(1(4(5(3(3(3(3(0(2(5(1(4(5(4(3(1(5(1(x1)))))))))))))))))))) 5(4(4(2(2(2(3(0(1(5(3(5(1(0(2(3(1(5(4(1(x1)))))))))))))))))))) -> 5(1(0(5(1(1(3(0(5(0(3(5(5(2(4(0(1(5(5(x1))))))))))))))))))) 3(0(2(2(2(0(0(4(3(2(2(5(5(0(3(2(1(2(2(2(0(x1))))))))))))))))))))) -> 5(2(2(5(1(3(5(0(3(2(1(1(1(0(4(5(3(4(0(5(x1)))))))))))))))))))) 4(4(1(2(0(1(2(3(1(0(1(0(0(3(3(4(4(1(1(1(2(x1))))))))))))))))))))) -> 4(1(0(1(0(3(1(4(1(5(3(3(3(0(1(2(3(1(2(5(1(x1))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(2(x_1)) -> 2(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(x1))) -> 0(3(3(x1))) 0(4(2(5(3(2(x1)))))) -> 0(1(2(4(0(x1))))) 4(4(1(4(2(1(1(x1))))))) -> 5(0(1(1(1(5(x1)))))) 4(5(0(3(2(5(3(x1))))))) -> 4(1(1(0(2(3(x1)))))) 0(0(1(0(0(3(5(3(x1)))))))) -> 0(0(0(2(3(2(2(3(x1)))))))) 5(1(1(3(1(5(4(2(x1)))))))) -> 5(5(3(4(4(2(0(2(x1)))))))) 1(1(0(0(5(2(5(2(2(x1))))))))) -> 1(3(1(1(5(3(3(5(1(x1))))))))) 4(3(2(4(0(0(2(2(3(5(0(x1))))))))))) -> 1(0(5(2(2(5(2(1(5(5(x1)))))))))) 5(1(2(5(5(2(4(1(1(5(2(x1))))))))))) -> 5(1(5(2(0(3(5(0(1(4(1(x1))))))))))) 1(0(4(3(2(1(4(1(5(1(1(2(x1)))))))))))) -> 4(2(0(3(3(5(3(1(4(5(3(3(5(x1))))))))))))) 5(2(0(5(0(1(1(1(2(4(4(2(x1)))))))))))) -> 5(2(0(2(0(3(3(0(0(4(2(4(x1)))))))))))) 4(1(5(5(5(3(3(1(3(3(3(4(5(x1))))))))))))) -> 4(1(4(3(4(5(1(1(1(1(2(5(x1)))))))))))) 1(1(5(5(0(3(1(4(0(0(3(5(5(4(x1)))))))))))))) -> 0(1(3(1(3(0(3(4(5(0(4(1(5(4(x1)))))))))))))) 3(1(3(0(1(4(5(2(5(0(2(2(4(3(x1)))))))))))))) -> 3(0(5(2(2(0(4(5(2(1(5(5(5(x1))))))))))))) 5(3(1(5(4(5(4(5(1(1(1(2(2(1(5(2(x1)))))))))))))))) -> 5(0(0(5(2(3(2(4(4(1(1(1(5(5(5(x1))))))))))))))) 0(3(0(2(1(3(4(2(1(5(2(4(3(0(1(0(2(x1))))))))))))))))) -> 2(0(4(5(5(2(0(0(1(0(3(2(5(4(1(3(3(x1))))))))))))))))) 1(2(0(4(4(0(3(0(5(2(4(0(3(3(1(1(4(x1))))))))))))))))) -> 4(5(4(0(4(3(5(0(2(5(0(5(3(0(3(1(4(x1))))))))))))))))) 4(0(1(5(4(1(3(5(5(0(0(5(4(5(4(0(5(4(x1)))))))))))))))))) -> 2(1(2(5(0(0(4(1(0(1(5(5(4(5(2(4(1(4(x1)))))))))))))))))) 4(4(4(4(4(1(3(4(1(5(1(4(0(1(4(0(4(5(x1)))))))))))))))))) -> 4(2(2(3(1(2(3(5(4(3(3(4(2(1(2(0(3(4(5(x1))))))))))))))))))) 4(3(3(3(5(5(1(2(5(0(4(1(4(4(2(3(0(4(2(x1))))))))))))))))))) -> 4(3(4(5(5(0(2(5(5(0(2(2(5(2(0(0(3(3(x1)))))))))))))))))) 0(3(2(2(5(4(0(2(4(0(1(3(3(1(0(3(4(3(1(5(x1)))))))))))))))))))) -> 0(3(1(0(5(4(3(2(0(3(3(4(1(0(4(3(3(3(1(1(x1)))))))))))))))))))) 1(0(5(2(2(3(2(0(5(5(3(4(4(3(1(0(0(2(1(2(x1)))))))))))))))))))) -> 1(3(1(4(5(3(3(3(3(0(2(5(1(4(5(4(3(1(5(1(x1)))))))))))))))))))) 5(4(4(2(2(2(3(0(1(5(3(5(1(0(2(3(1(5(4(1(x1)))))))))))))))))))) -> 5(1(0(5(1(1(3(0(5(0(3(5(5(2(4(0(1(5(5(x1))))))))))))))))))) 3(0(2(2(2(0(0(4(3(2(2(5(5(0(3(2(1(2(2(2(0(x1))))))))))))))))))))) -> 5(2(2(5(1(3(5(0(3(2(1(1(1(0(4(5(3(4(0(5(x1)))))))))))))))))))) 4(4(1(2(0(1(2(3(1(0(1(0(0(3(3(4(4(1(1(1(2(x1))))))))))))))))))))) -> 4(1(0(1(0(3(1(4(1(5(3(3(3(0(1(2(3(1(2(5(1(x1))))))))))))))))))))) encArg(2(x_1)) -> 2(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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. "[129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 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, 441, 442, 443, 444, 445, 446] {(129,130,[0_1|0, 4_1|0, 5_1|0, 1_1|0, 3_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]), (129,131,[2_1|1, 0_1|1, 4_1|1, 5_1|1, 1_1|1, 3_1|1]), (129,132,[0_1|2]), (129,134,[0_1|2]), (129,138,[0_1|2]), (129,145,[2_1|2]), (129,161,[0_1|2]), (129,180,[5_1|2]), (129,185,[4_1|2]), (129,205,[4_1|2]), (129,223,[4_1|2]), (129,228,[1_1|2]), (129,237,[4_1|2]), (129,254,[4_1|2]), (129,265,[2_1|2]), (129,282,[5_1|2]), (129,289,[5_1|2]), (129,299,[5_1|2]), (129,310,[5_1|2]), (129,324,[5_1|2]), (129,342,[1_1|2]), (129,350,[0_1|2]), (129,363,[4_1|2]), (129,375,[1_1|2]), (129,394,[4_1|2]), (129,410,[3_1|2]), (129,422,[5_1|2]), (129,441,[0_1|3]), (130,130,[2_1|0, cons_0_1|0, cons_4_1|0, cons_5_1|0, cons_1_1|0, cons_3_1|0]), (131,130,[encArg_1|1]), (131,131,[2_1|1, 0_1|1, 4_1|1, 5_1|1, 1_1|1, 3_1|1]), (131,132,[0_1|2]), (131,134,[0_1|2]), (131,138,[0_1|2]), (131,145,[2_1|2]), (131,161,[0_1|2]), (131,180,[5_1|2]), (131,185,[4_1|2]), (131,205,[4_1|2]), (131,223,[4_1|2]), (131,228,[1_1|2]), (131,237,[4_1|2]), (131,254,[4_1|2]), (131,265,[2_1|2]), (131,282,[5_1|2]), (131,289,[5_1|2]), (131,299,[5_1|2]), (131,310,[5_1|2]), (131,324,[5_1|2]), (131,342,[1_1|2]), (131,350,[0_1|2]), (131,363,[4_1|2]), (131,375,[1_1|2]), (131,394,[4_1|2]), (131,410,[3_1|2]), (131,422,[5_1|2]), (131,441,[0_1|3]), (132,133,[3_1|2]), (133,131,[3_1|2]), (133,145,[3_1|2]), (133,265,[3_1|2]), (133,410,[3_1|2]), (133,422,[5_1|2]), (134,135,[1_1|2]), (135,136,[2_1|2]), (136,137,[4_1|2]), (136,265,[2_1|2]), (137,131,[0_1|2]), (137,145,[0_1|2, 2_1|2]), (137,265,[0_1|2]), (137,132,[0_1|2]), (137,134,[0_1|2]), (137,138,[0_1|2]), (137,161,[0_1|2]), (137,445,[0_1|3]), (138,139,[0_1|2]), (139,140,[0_1|2]), (140,141,[2_1|2]), (141,142,[3_1|2]), (142,143,[2_1|2]), (143,144,[2_1|2]), (144,131,[3_1|2]), (144,410,[3_1|2]), (144,422,[5_1|2]), (145,146,[0_1|2]), (146,147,[4_1|2]), (147,148,[5_1|2]), (148,149,[5_1|2]), (149,150,[2_1|2]), (150,151,[0_1|2]), (151,152,[0_1|2]), (152,153,[1_1|2]), (153,154,[0_1|2]), (154,155,[3_1|2]), (155,156,[2_1|2]), (156,157,[5_1|2]), (157,158,[4_1|2]), (158,159,[1_1|2]), (159,160,[3_1|2]), (160,131,[3_1|2]), (160,145,[3_1|2]), (160,265,[3_1|2]), (160,410,[3_1|2]), (160,422,[5_1|2]), (161,162,[3_1|2]), (162,163,[1_1|2]), (163,164,[0_1|2]), (164,165,[5_1|2]), (165,166,[4_1|2]), (166,167,[3_1|2]), (167,168,[2_1|2]), (168,169,[0_1|2]), (169,170,[3_1|2]), (170,171,[3_1|2]), (171,172,[4_1|2]), (172,173,[1_1|2]), (173,174,[0_1|2]), (174,175,[4_1|2]), (175,176,[3_1|2]), (176,177,[3_1|2]), (177,178,[3_1|2]), (178,179,[1_1|2]), (178,342,[1_1|2]), (178,350,[0_1|2]), (179,131,[1_1|2]), (179,180,[1_1|2]), (179,282,[1_1|2]), (179,289,[1_1|2]), (179,299,[1_1|2]), (179,310,[1_1|2]), (179,324,[1_1|2]), (179,422,[1_1|2]), (179,342,[1_1|2]), (179,350,[0_1|2]), (179,363,[4_1|2]), (179,375,[1_1|2]), (179,394,[4_1|2]), (180,181,[0_1|2]), (181,182,[1_1|2]), (182,183,[1_1|2]), (182,350,[0_1|2]), (183,184,[1_1|2]), (184,131,[5_1|2]), (184,228,[5_1|2]), (184,342,[5_1|2]), (184,375,[5_1|2]), (184,282,[5_1|2]), (184,289,[5_1|2]), (184,299,[5_1|2]), (184,310,[5_1|2]), (184,324,[5_1|2]), (185,186,[1_1|2]), (186,187,[0_1|2]), (187,188,[1_1|2]), (188,189,[0_1|2]), (189,190,[3_1|2]), (190,191,[1_1|2]), (191,192,[4_1|2]), (192,193,[1_1|2]), (193,194,[5_1|2]), (194,195,[3_1|2]), (195,196,[3_1|2]), (196,197,[3_1|2]), (197,198,[0_1|2]), (197,443,[0_1|3]), (198,199,[1_1|2]), (199,200,[2_1|2]), (200,201,[3_1|2]), (201,202,[1_1|2]), (202,203,[2_1|2]), (203,204,[5_1|2]), (203,282,[5_1|2]), (203,289,[5_1|2]), (204,131,[1_1|2]), (204,145,[1_1|2]), (204,265,[1_1|2]), (204,342,[1_1|2]), (204,350,[0_1|2]), (204,363,[4_1|2]), (204,375,[1_1|2]), (204,394,[4_1|2]), (205,206,[2_1|2]), (206,207,[2_1|2]), (207,208,[3_1|2]), (208,209,[1_1|2]), (209,210,[2_1|2]), (210,211,[3_1|2]), (211,212,[5_1|2]), (212,213,[4_1|2]), (213,214,[3_1|2]), (214,215,[3_1|2]), (215,216,[4_1|2]), (216,217,[2_1|2]), (217,218,[1_1|2]), (218,219,[2_1|2]), (219,220,[0_1|2]), (220,221,[3_1|2]), (221,222,[4_1|2]), (221,223,[4_1|2]), (222,131,[5_1|2]), (222,180,[5_1|2]), (222,282,[5_1|2]), (222,289,[5_1|2]), (222,299,[5_1|2]), (222,310,[5_1|2]), (222,324,[5_1|2]), (222,422,[5_1|2]), (222,395,[5_1|2]), (223,224,[1_1|2]), (224,225,[1_1|2]), (225,226,[0_1|2]), (226,227,[2_1|2]), (227,131,[3_1|2]), (227,410,[3_1|2]), (227,422,[5_1|2]), (228,229,[0_1|2]), (229,230,[5_1|2]), (230,231,[2_1|2]), (231,232,[2_1|2]), (232,233,[5_1|2]), (233,234,[2_1|2]), (234,235,[1_1|2]), (235,236,[5_1|2]), (236,131,[5_1|2]), (236,132,[5_1|2]), (236,134,[5_1|2]), (236,138,[5_1|2]), (236,161,[5_1|2]), (236,350,[5_1|2]), (236,181,[5_1|2]), (236,311,[5_1|2]), (236,282,[5_1|2]), (236,289,[5_1|2]), (236,299,[5_1|2]), (236,310,[5_1|2]), (236,324,[5_1|2]), (236,441,[5_1|2]), (237,238,[3_1|2]), (238,239,[4_1|2]), (239,240,[5_1|2]), (240,241,[5_1|2]), (241,242,[0_1|2]), (242,243,[2_1|2]), (243,244,[5_1|2]), (244,245,[5_1|2]), (245,246,[0_1|2]), (246,247,[2_1|2]), (247,248,[2_1|2]), (248,249,[5_1|2]), (249,250,[2_1|2]), (250,251,[0_1|2]), (251,252,[0_1|2]), (252,253,[3_1|2]), (253,131,[3_1|2]), (253,145,[3_1|2]), (253,265,[3_1|2]), (253,206,[3_1|2]), (253,364,[3_1|2]), (253,410,[3_1|2]), (253,422,[5_1|2]), (254,255,[1_1|2]), (255,256,[4_1|2]), (256,257,[3_1|2]), (257,258,[4_1|2]), (258,259,[5_1|2]), (259,260,[1_1|2]), (260,261,[1_1|2]), (261,262,[1_1|2]), (262,263,[1_1|2]), (263,264,[2_1|2]), (264,131,[5_1|2]), (264,180,[5_1|2]), (264,282,[5_1|2]), (264,289,[5_1|2]), (264,299,[5_1|2]), (264,310,[5_1|2]), (264,324,[5_1|2]), (264,422,[5_1|2]), (264,395,[5_1|2]), (265,266,[1_1|2]), (266,267,[2_1|2]), (267,268,[5_1|2]), (268,269,[0_1|2]), (269,270,[0_1|2]), (270,271,[4_1|2]), (271,272,[1_1|2]), (272,273,[0_1|2]), (273,274,[1_1|2]), (274,275,[5_1|2]), (275,276,[5_1|2]), (276,277,[4_1|2]), (277,278,[5_1|2]), (278,279,[2_1|2]), (279,280,[4_1|2]), (280,281,[1_1|2]), (281,131,[4_1|2]), (281,185,[4_1|2]), (281,205,[4_1|2]), (281,223,[4_1|2]), (281,237,[4_1|2]), (281,254,[4_1|2]), (281,363,[4_1|2]), (281,394,[4_1|2]), (281,180,[5_1|2]), (281,228,[1_1|2]), (281,265,[2_1|2]), (282,283,[5_1|2]), (283,284,[3_1|2]), (284,285,[4_1|2]), (285,286,[4_1|2]), (286,287,[2_1|2]), (287,288,[0_1|2]), (288,131,[2_1|2]), (288,145,[2_1|2]), (288,265,[2_1|2]), (288,206,[2_1|2]), (288,364,[2_1|2]), (289,290,[1_1|2]), (290,291,[5_1|2]), (291,292,[2_1|2]), (292,293,[0_1|2]), (293,294,[3_1|2]), (294,295,[5_1|2]), (295,296,[0_1|2]), (296,297,[1_1|2]), (297,298,[4_1|2]), (297,254,[4_1|2]), (298,131,[1_1|2]), (298,145,[1_1|2]), (298,265,[1_1|2]), (298,300,[1_1|2]), (298,423,[1_1|2]), (298,342,[1_1|2]), (298,350,[0_1|2]), (298,363,[4_1|2]), (298,375,[1_1|2]), (298,394,[4_1|2]), (299,300,[2_1|2]), (300,301,[0_1|2]), (301,302,[2_1|2]), (302,303,[0_1|2]), (303,304,[3_1|2]), (304,305,[3_1|2]), (305,306,[0_1|2]), (306,307,[0_1|2]), (307,308,[4_1|2]), (308,309,[2_1|2]), (309,131,[4_1|2]), (309,145,[4_1|2]), (309,265,[4_1|2, 2_1|2]), (309,206,[4_1|2]), (309,364,[4_1|2]), (309,180,[5_1|2]), (309,185,[4_1|2]), (309,205,[4_1|2]), (309,223,[4_1|2]), (309,228,[1_1|2]), (309,237,[4_1|2]), (309,254,[4_1|2]), (310,311,[0_1|2]), (311,312,[0_1|2]), (312,313,[5_1|2]), (313,314,[2_1|2]), (314,315,[3_1|2]), (315,316,[2_1|2]), (316,317,[4_1|2]), (317,318,[4_1|2]), (318,319,[1_1|2]), (319,320,[1_1|2]), (320,321,[1_1|2]), (321,322,[5_1|2]), (322,323,[5_1|2]), (323,131,[5_1|2]), (323,145,[5_1|2]), (323,265,[5_1|2]), (323,300,[5_1|2]), (323,423,[5_1|2]), (323,282,[5_1|2]), (323,289,[5_1|2]), (323,299,[5_1|2]), (323,310,[5_1|2]), (323,324,[5_1|2]), (324,325,[1_1|2]), (325,326,[0_1|2]), (326,327,[5_1|2]), (327,328,[1_1|2]), (328,329,[1_1|2]), (329,330,[3_1|2]), (330,331,[0_1|2]), (331,332,[5_1|2]), (332,333,[0_1|2]), (333,334,[3_1|2]), (334,335,[5_1|2]), (335,336,[5_1|2]), (336,337,[2_1|2]), (337,338,[4_1|2]), (338,339,[0_1|2]), (339,340,[1_1|2]), (340,341,[5_1|2]), (341,131,[5_1|2]), (341,228,[5_1|2]), (341,342,[5_1|2]), (341,375,[5_1|2]), (341,186,[5_1|2]), (341,224,[5_1|2]), (341,255,[5_1|2]), (341,282,[5_1|2]), (341,289,[5_1|2]), (341,299,[5_1|2]), (341,310,[5_1|2]), (341,324,[5_1|2]), (342,343,[3_1|2]), (343,344,[1_1|2]), (344,345,[1_1|2]), (345,346,[5_1|2]), (346,347,[3_1|2]), (347,348,[3_1|2]), (348,349,[5_1|2]), (348,282,[5_1|2]), (348,289,[5_1|2]), (349,131,[1_1|2]), (349,145,[1_1|2]), (349,265,[1_1|2]), (349,424,[1_1|2]), (349,342,[1_1|2]), (349,350,[0_1|2]), (349,363,[4_1|2]), (349,375,[1_1|2]), (349,394,[4_1|2]), (350,351,[1_1|2]), (351,352,[3_1|2]), (352,353,[1_1|2]), (353,354,[3_1|2]), (354,355,[0_1|2]), (355,356,[3_1|2]), (356,357,[4_1|2]), (357,358,[5_1|2]), (358,359,[0_1|2]), (359,360,[4_1|2]), (360,361,[1_1|2]), (361,362,[5_1|2]), (361,324,[5_1|2]), (362,131,[4_1|2]), (362,185,[4_1|2]), (362,205,[4_1|2]), (362,223,[4_1|2]), (362,237,[4_1|2]), (362,254,[4_1|2]), (362,363,[4_1|2]), (362,394,[4_1|2]), (362,180,[5_1|2]), (362,228,[1_1|2]), (362,265,[2_1|2]), (363,364,[2_1|2]), (364,365,[0_1|2]), (365,366,[3_1|2]), (366,367,[3_1|2]), (367,368,[5_1|2]), (368,369,[3_1|2]), (369,370,[1_1|2]), (370,371,[4_1|2]), (371,372,[5_1|2]), (372,373,[3_1|2]), (373,374,[3_1|2]), (374,131,[5_1|2]), (374,145,[5_1|2]), (374,265,[5_1|2]), (374,282,[5_1|2]), (374,289,[5_1|2]), (374,299,[5_1|2]), (374,310,[5_1|2]), (374,324,[5_1|2]), (375,376,[3_1|2]), (376,377,[1_1|2]), (377,378,[4_1|2]), (378,379,[5_1|2]), (379,380,[3_1|2]), (380,381,[3_1|2]), (381,382,[3_1|2]), (382,383,[3_1|2]), (383,384,[0_1|2]), (384,385,[2_1|2]), (385,386,[5_1|2]), (386,387,[1_1|2]), (387,388,[4_1|2]), (388,389,[5_1|2]), (389,390,[4_1|2]), (390,391,[3_1|2]), (391,392,[1_1|2]), (392,393,[5_1|2]), (392,282,[5_1|2]), (392,289,[5_1|2]), (393,131,[1_1|2]), (393,145,[1_1|2]), (393,265,[1_1|2]), (393,267,[1_1|2]), (393,342,[1_1|2]), (393,350,[0_1|2]), (393,363,[4_1|2]), (393,375,[1_1|2]), (393,394,[4_1|2]), (394,395,[5_1|2]), (395,396,[4_1|2]), (396,397,[0_1|2]), (397,398,[4_1|2]), (398,399,[3_1|2]), (399,400,[5_1|2]), (400,401,[0_1|2]), (401,402,[2_1|2]), (402,403,[5_1|2]), (403,404,[0_1|2]), (404,405,[5_1|2]), (405,406,[3_1|2]), (406,407,[0_1|2]), (407,408,[3_1|2]), (408,409,[1_1|2]), (409,131,[4_1|2]), (409,185,[4_1|2]), (409,205,[4_1|2]), (409,223,[4_1|2]), (409,237,[4_1|2]), (409,254,[4_1|2]), (409,363,[4_1|2]), (409,394,[4_1|2]), (409,180,[5_1|2]), (409,228,[1_1|2]), (409,265,[2_1|2]), (410,411,[0_1|2]), (411,412,[5_1|2]), (412,413,[2_1|2]), (413,414,[2_1|2]), (414,415,[0_1|2]), (415,416,[4_1|2]), (416,417,[5_1|2]), (417,418,[2_1|2]), (418,419,[1_1|2]), (419,420,[5_1|2]), (420,421,[5_1|2]), (421,131,[5_1|2]), (421,410,[5_1|2]), (421,238,[5_1|2]), (421,282,[5_1|2]), (421,289,[5_1|2]), (421,299,[5_1|2]), (421,310,[5_1|2]), (421,324,[5_1|2]), (422,423,[2_1|2]), (423,424,[2_1|2]), (424,425,[5_1|2]), (425,426,[1_1|2]), (426,427,[3_1|2]), (427,428,[5_1|2]), (428,429,[0_1|2]), (429,430,[3_1|2]), (430,431,[2_1|2]), (431,432,[1_1|2]), (432,433,[1_1|2]), (433,434,[1_1|2]), (434,435,[0_1|2]), (435,436,[4_1|2]), (436,437,[5_1|2]), (437,438,[3_1|2]), (438,439,[4_1|2]), (439,440,[0_1|2]), (440,131,[5_1|2]), (440,132,[5_1|2]), (440,134,[5_1|2]), (440,138,[5_1|2]), (440,161,[5_1|2]), (440,350,[5_1|2]), (440,146,[5_1|2]), (440,282,[5_1|2]), (440,289,[5_1|2]), (440,299,[5_1|2]), (440,310,[5_1|2]), (440,324,[5_1|2]), (440,441,[5_1|2]), (441,442,[3_1|3]), (442,136,[3_1|3]), (443,444,[3_1|3]), (444,200,[3_1|3]), (445,446,[3_1|3]), (446,267,[3_1|3]), (446,136,[3_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)