/export/starexec/sandbox/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- 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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 65 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 176 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(0(1(2(x1)))) -> 2(3(1(0(0(x1))))) 0(0(1(2(x1)))) -> 3(1(0(0(2(x1))))) 0(0(1(2(x1)))) -> 0(0(2(3(1(1(x1)))))) 0(1(0(4(x1)))) -> 3(1(4(0(0(x1))))) 0(1(0(4(x1)))) -> 3(4(0(0(3(1(x1)))))) 0(1(0(4(x1)))) -> 4(3(1(0(5(0(x1)))))) 0(1(0(4(x1)))) -> 5(0(4(3(1(0(x1)))))) 0(1(0(5(x1)))) -> 3(5(3(1(0(0(x1)))))) 0(1(0(5(x1)))) -> 5(3(1(0(0(2(x1)))))) 0(1(4(2(x1)))) -> 2(3(1(4(0(x1))))) 0(1(4(2(x1)))) -> 4(0(3(1(2(4(x1)))))) 0(1(4(2(x1)))) -> 4(3(1(1(0(2(x1)))))) 0(5(0(4(x1)))) -> 4(0(0(3(5(x1))))) 0(5(0(4(x1)))) -> 5(0(0(3(4(x1))))) 0(5(0(5(x1)))) -> 3(5(2(0(0(5(x1)))))) 0(5(0(5(x1)))) -> 5(3(5(4(0(0(x1)))))) 0(5(0(5(x1)))) -> 5(5(3(4(0(0(x1)))))) 2(0(1(2(x1)))) -> 0(2(4(1(2(x1))))) 2(0(1(2(x1)))) -> 2(5(0(2(2(1(x1)))))) 2(0(1(2(x1)))) -> 3(1(3(2(2(0(x1)))))) 2(0(4(2(x1)))) -> 4(0(2(2(1(x1))))) 2(0(4(2(x1)))) -> 4(0(2(1(2(1(x1)))))) 2(0(5(2(x1)))) -> 0(2(1(5(2(2(x1)))))) 3(0(4(2(x1)))) -> 0(3(4(1(1(2(x1)))))) 3(0(4(2(x1)))) -> 4(3(3(1(0(2(x1)))))) 0(0(1(2(2(x1))))) -> 0(0(2(1(2(1(x1)))))) 0(0(1(3(2(x1))))) -> 0(3(1(2(0(4(x1)))))) 0(0(1(3(2(x1))))) -> 2(5(0(3(1(0(x1)))))) 0(0(5(2(2(x1))))) -> 0(0(2(5(2(1(x1)))))) 0(1(0(5(2(x1))))) -> 0(2(1(0(3(5(x1)))))) 0(1(0(5(5(x1))))) -> 1(3(5(0(0(5(x1)))))) 0(1(2(0(5(x1))))) -> 4(0(5(2(1(0(x1)))))) 0(1(3(0(4(x1))))) -> 1(0(3(4(4(0(x1)))))) 0(1(3(4(2(x1))))) -> 4(2(1(0(3(4(x1)))))) 0(1(4(2(2(x1))))) -> 1(1(0(2(4(2(x1)))))) 0(1(4(2(4(x1))))) -> 4(0(2(3(1(4(x1)))))) 0(1(4(3(2(x1))))) -> 3(1(2(0(4(4(x1)))))) 0(3(0(0(5(x1))))) -> 5(3(1(0(0(0(x1)))))) 0(4(1(0(4(x1))))) -> 4(0(2(1(4(0(x1)))))) 0(4(3(2(2(x1))))) -> 4(2(0(3(5(2(x1)))))) 0(5(1(0(4(x1))))) -> 5(2(4(1(0(0(x1)))))) 0(5(1(4(2(x1))))) -> 4(0(3(5(1(2(x1)))))) 2(1(0(1(2(x1))))) -> 2(1(1(0(2(3(x1)))))) 2(4(0(5(2(x1))))) -> 0(4(2(3(5(2(x1)))))) 3(0(0(1(2(x1))))) -> 0(3(5(1(0(2(x1)))))) 3(0(0(5(2(x1))))) -> 2(0(0(3(5(1(x1)))))) 3(0(5(4(2(x1))))) -> 4(0(3(5(2(1(x1)))))) 3(2(0(1(2(x1))))) -> 2(1(3(1(0(2(x1)))))) 3(2(0(5(2(x1))))) -> 2(0(2(3(4(5(x1)))))) 3(2(0(5(2(x1))))) -> 5(3(0(2(2(2(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(1(x_1)) -> 1(encArg(x_1)) encArg(4(x_1)) -> 4(encArg(x_1)) encArg(5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) 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(0(1(2(x1)))) -> 2(3(1(0(0(x1))))) 0(0(1(2(x1)))) -> 3(1(0(0(2(x1))))) 0(0(1(2(x1)))) -> 0(0(2(3(1(1(x1)))))) 0(1(0(4(x1)))) -> 3(1(4(0(0(x1))))) 0(1(0(4(x1)))) -> 3(4(0(0(3(1(x1)))))) 0(1(0(4(x1)))) -> 4(3(1(0(5(0(x1)))))) 0(1(0(4(x1)))) -> 5(0(4(3(1(0(x1)))))) 0(1(0(5(x1)))) -> 3(5(3(1(0(0(x1)))))) 0(1(0(5(x1)))) -> 5(3(1(0(0(2(x1)))))) 0(1(4(2(x1)))) -> 2(3(1(4(0(x1))))) 0(1(4(2(x1)))) -> 4(0(3(1(2(4(x1)))))) 0(1(4(2(x1)))) -> 4(3(1(1(0(2(x1)))))) 0(5(0(4(x1)))) -> 4(0(0(3(5(x1))))) 0(5(0(4(x1)))) -> 5(0(0(3(4(x1))))) 0(5(0(5(x1)))) -> 3(5(2(0(0(5(x1)))))) 0(5(0(5(x1)))) -> 5(3(5(4(0(0(x1)))))) 0(5(0(5(x1)))) -> 5(5(3(4(0(0(x1)))))) 2(0(1(2(x1)))) -> 0(2(4(1(2(x1))))) 2(0(1(2(x1)))) -> 2(5(0(2(2(1(x1)))))) 2(0(1(2(x1)))) -> 3(1(3(2(2(0(x1)))))) 2(0(4(2(x1)))) -> 4(0(2(2(1(x1))))) 2(0(4(2(x1)))) -> 4(0(2(1(2(1(x1)))))) 2(0(5(2(x1)))) -> 0(2(1(5(2(2(x1)))))) 3(0(4(2(x1)))) -> 0(3(4(1(1(2(x1)))))) 3(0(4(2(x1)))) -> 4(3(3(1(0(2(x1)))))) 0(0(1(2(2(x1))))) -> 0(0(2(1(2(1(x1)))))) 0(0(1(3(2(x1))))) -> 0(3(1(2(0(4(x1)))))) 0(0(1(3(2(x1))))) -> 2(5(0(3(1(0(x1)))))) 0(0(5(2(2(x1))))) -> 0(0(2(5(2(1(x1)))))) 0(1(0(5(2(x1))))) -> 0(2(1(0(3(5(x1)))))) 0(1(0(5(5(x1))))) -> 1(3(5(0(0(5(x1)))))) 0(1(2(0(5(x1))))) -> 4(0(5(2(1(0(x1)))))) 0(1(3(0(4(x1))))) -> 1(0(3(4(4(0(x1)))))) 0(1(3(4(2(x1))))) -> 4(2(1(0(3(4(x1)))))) 0(1(4(2(2(x1))))) -> 1(1(0(2(4(2(x1)))))) 0(1(4(2(4(x1))))) -> 4(0(2(3(1(4(x1)))))) 0(1(4(3(2(x1))))) -> 3(1(2(0(4(4(x1)))))) 0(3(0(0(5(x1))))) -> 5(3(1(0(0(0(x1)))))) 0(4(1(0(4(x1))))) -> 4(0(2(1(4(0(x1)))))) 0(4(3(2(2(x1))))) -> 4(2(0(3(5(2(x1)))))) 0(5(1(0(4(x1))))) -> 5(2(4(1(0(0(x1)))))) 0(5(1(4(2(x1))))) -> 4(0(3(5(1(2(x1)))))) 2(1(0(1(2(x1))))) -> 2(1(1(0(2(3(x1)))))) 2(4(0(5(2(x1))))) -> 0(4(2(3(5(2(x1)))))) 3(0(0(1(2(x1))))) -> 0(3(5(1(0(2(x1)))))) 3(0(0(5(2(x1))))) -> 2(0(0(3(5(1(x1)))))) 3(0(5(4(2(x1))))) -> 4(0(3(5(2(1(x1)))))) 3(2(0(1(2(x1))))) -> 2(1(3(1(0(2(x1)))))) 3(2(0(5(2(x1))))) -> 2(0(2(3(4(5(x1)))))) 3(2(0(5(2(x1))))) -> 5(3(0(2(2(2(x1)))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(4(x_1)) -> 4(encArg(x_1)) encArg(5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) 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(0(1(2(x1)))) -> 2(3(1(0(0(x1))))) 0(0(1(2(x1)))) -> 3(1(0(0(2(x1))))) 0(0(1(2(x1)))) -> 0(0(2(3(1(1(x1)))))) 0(1(0(4(x1)))) -> 3(1(4(0(0(x1))))) 0(1(0(4(x1)))) -> 3(4(0(0(3(1(x1)))))) 0(1(0(4(x1)))) -> 4(3(1(0(5(0(x1)))))) 0(1(0(4(x1)))) -> 5(0(4(3(1(0(x1)))))) 0(1(0(5(x1)))) -> 3(5(3(1(0(0(x1)))))) 0(1(0(5(x1)))) -> 5(3(1(0(0(2(x1)))))) 0(1(4(2(x1)))) -> 2(3(1(4(0(x1))))) 0(1(4(2(x1)))) -> 4(0(3(1(2(4(x1)))))) 0(1(4(2(x1)))) -> 4(3(1(1(0(2(x1)))))) 0(5(0(4(x1)))) -> 4(0(0(3(5(x1))))) 0(5(0(4(x1)))) -> 5(0(0(3(4(x1))))) 0(5(0(5(x1)))) -> 3(5(2(0(0(5(x1)))))) 0(5(0(5(x1)))) -> 5(3(5(4(0(0(x1)))))) 0(5(0(5(x1)))) -> 5(5(3(4(0(0(x1)))))) 2(0(1(2(x1)))) -> 0(2(4(1(2(x1))))) 2(0(1(2(x1)))) -> 2(5(0(2(2(1(x1)))))) 2(0(1(2(x1)))) -> 3(1(3(2(2(0(x1)))))) 2(0(4(2(x1)))) -> 4(0(2(2(1(x1))))) 2(0(4(2(x1)))) -> 4(0(2(1(2(1(x1)))))) 2(0(5(2(x1)))) -> 0(2(1(5(2(2(x1)))))) 3(0(4(2(x1)))) -> 0(3(4(1(1(2(x1)))))) 3(0(4(2(x1)))) -> 4(3(3(1(0(2(x1)))))) 0(0(1(2(2(x1))))) -> 0(0(2(1(2(1(x1)))))) 0(0(1(3(2(x1))))) -> 0(3(1(2(0(4(x1)))))) 0(0(1(3(2(x1))))) -> 2(5(0(3(1(0(x1)))))) 0(0(5(2(2(x1))))) -> 0(0(2(5(2(1(x1)))))) 0(1(0(5(2(x1))))) -> 0(2(1(0(3(5(x1)))))) 0(1(0(5(5(x1))))) -> 1(3(5(0(0(5(x1)))))) 0(1(2(0(5(x1))))) -> 4(0(5(2(1(0(x1)))))) 0(1(3(0(4(x1))))) -> 1(0(3(4(4(0(x1)))))) 0(1(3(4(2(x1))))) -> 4(2(1(0(3(4(x1)))))) 0(1(4(2(2(x1))))) -> 1(1(0(2(4(2(x1)))))) 0(1(4(2(4(x1))))) -> 4(0(2(3(1(4(x1)))))) 0(1(4(3(2(x1))))) -> 3(1(2(0(4(4(x1)))))) 0(3(0(0(5(x1))))) -> 5(3(1(0(0(0(x1)))))) 0(4(1(0(4(x1))))) -> 4(0(2(1(4(0(x1)))))) 0(4(3(2(2(x1))))) -> 4(2(0(3(5(2(x1)))))) 0(5(1(0(4(x1))))) -> 5(2(4(1(0(0(x1)))))) 0(5(1(4(2(x1))))) -> 4(0(3(5(1(2(x1)))))) 2(1(0(1(2(x1))))) -> 2(1(1(0(2(3(x1)))))) 2(4(0(5(2(x1))))) -> 0(4(2(3(5(2(x1)))))) 3(0(0(1(2(x1))))) -> 0(3(5(1(0(2(x1)))))) 3(0(0(5(2(x1))))) -> 2(0(0(3(5(1(x1)))))) 3(0(5(4(2(x1))))) -> 4(0(3(5(2(1(x1)))))) 3(2(0(1(2(x1))))) -> 2(1(3(1(0(2(x1)))))) 3(2(0(5(2(x1))))) -> 2(0(2(3(4(5(x1)))))) 3(2(0(5(2(x1))))) -> 5(3(0(2(2(2(x1)))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(4(x_1)) -> 4(encArg(x_1)) encArg(5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) 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(0(1(2(x1)))) -> 2(3(1(0(0(x1))))) 0(0(1(2(x1)))) -> 3(1(0(0(2(x1))))) 0(0(1(2(x1)))) -> 0(0(2(3(1(1(x1)))))) 0(1(0(4(x1)))) -> 3(1(4(0(0(x1))))) 0(1(0(4(x1)))) -> 3(4(0(0(3(1(x1)))))) 0(1(0(4(x1)))) -> 4(3(1(0(5(0(x1)))))) 0(1(0(4(x1)))) -> 5(0(4(3(1(0(x1)))))) 0(1(0(5(x1)))) -> 3(5(3(1(0(0(x1)))))) 0(1(0(5(x1)))) -> 5(3(1(0(0(2(x1)))))) 0(1(4(2(x1)))) -> 2(3(1(4(0(x1))))) 0(1(4(2(x1)))) -> 4(0(3(1(2(4(x1)))))) 0(1(4(2(x1)))) -> 4(3(1(1(0(2(x1)))))) 0(5(0(4(x1)))) -> 4(0(0(3(5(x1))))) 0(5(0(4(x1)))) -> 5(0(0(3(4(x1))))) 0(5(0(5(x1)))) -> 3(5(2(0(0(5(x1)))))) 0(5(0(5(x1)))) -> 5(3(5(4(0(0(x1)))))) 0(5(0(5(x1)))) -> 5(5(3(4(0(0(x1)))))) 2(0(1(2(x1)))) -> 0(2(4(1(2(x1))))) 2(0(1(2(x1)))) -> 2(5(0(2(2(1(x1)))))) 2(0(1(2(x1)))) -> 3(1(3(2(2(0(x1)))))) 2(0(4(2(x1)))) -> 4(0(2(2(1(x1))))) 2(0(4(2(x1)))) -> 4(0(2(1(2(1(x1)))))) 2(0(5(2(x1)))) -> 0(2(1(5(2(2(x1)))))) 3(0(4(2(x1)))) -> 0(3(4(1(1(2(x1)))))) 3(0(4(2(x1)))) -> 4(3(3(1(0(2(x1)))))) 0(0(1(2(2(x1))))) -> 0(0(2(1(2(1(x1)))))) 0(0(1(3(2(x1))))) -> 0(3(1(2(0(4(x1)))))) 0(0(1(3(2(x1))))) -> 2(5(0(3(1(0(x1)))))) 0(0(5(2(2(x1))))) -> 0(0(2(5(2(1(x1)))))) 0(1(0(5(2(x1))))) -> 0(2(1(0(3(5(x1)))))) 0(1(0(5(5(x1))))) -> 1(3(5(0(0(5(x1)))))) 0(1(2(0(5(x1))))) -> 4(0(5(2(1(0(x1)))))) 0(1(3(0(4(x1))))) -> 1(0(3(4(4(0(x1)))))) 0(1(3(4(2(x1))))) -> 4(2(1(0(3(4(x1)))))) 0(1(4(2(2(x1))))) -> 1(1(0(2(4(2(x1)))))) 0(1(4(2(4(x1))))) -> 4(0(2(3(1(4(x1)))))) 0(1(4(3(2(x1))))) -> 3(1(2(0(4(4(x1)))))) 0(3(0(0(5(x1))))) -> 5(3(1(0(0(0(x1)))))) 0(4(1(0(4(x1))))) -> 4(0(2(1(4(0(x1)))))) 0(4(3(2(2(x1))))) -> 4(2(0(3(5(2(x1)))))) 0(5(1(0(4(x1))))) -> 5(2(4(1(0(0(x1)))))) 0(5(1(4(2(x1))))) -> 4(0(3(5(1(2(x1)))))) 2(1(0(1(2(x1))))) -> 2(1(1(0(2(3(x1)))))) 2(4(0(5(2(x1))))) -> 0(4(2(3(5(2(x1)))))) 3(0(0(1(2(x1))))) -> 0(3(5(1(0(2(x1)))))) 3(0(0(5(2(x1))))) -> 2(0(0(3(5(1(x1)))))) 3(0(5(4(2(x1))))) -> 4(0(3(5(2(1(x1)))))) 3(2(0(1(2(x1))))) -> 2(1(3(1(0(2(x1)))))) 3(2(0(5(2(x1))))) -> 2(0(2(3(4(5(x1)))))) 3(2(0(5(2(x1))))) -> 5(3(0(2(2(2(x1)))))) encArg(1(x_1)) -> 1(encArg(x_1)) encArg(4(x_1)) -> 4(encArg(x_1)) encArg(5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) 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 3. The certificate found is represented by the following graph. "[65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 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] {(65,66,[0_1|0, 2_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]), (65,67,[1_1|1, 4_1|1, 5_1|1, 0_1|1, 2_1|1, 3_1|1]), (65,68,[2_1|2]), (65,72,[3_1|2]), (65,76,[0_1|2]), (65,81,[0_1|2]), (65,86,[0_1|2]), (65,91,[2_1|2]), (65,96,[0_1|2]), (65,101,[3_1|2]), (65,105,[3_1|2]), (65,110,[4_1|2]), (65,115,[5_1|2]), 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(226,120,[3_1|2]), (226,125,[5_1|2]), (226,130,[0_1|2]), (226,135,[1_1|2]), (226,140,[2_1|2]), (226,154,[1_1|2]), (226,164,[3_1|2]), (226,174,[1_1|2]), (226,188,[5_1|2]), (226,192,[3_1|2]), (226,197,[5_1|2]), (226,202,[5_1|2]), (226,207,[5_1|2]), (226,217,[5_1|2]), (226,310,[4_1|3]), (226,314,[5_1|3]), (227,228,[2_1|2]), (228,229,[0_1|2]), (229,230,[3_1|2]), (230,231,[5_1|2]), (231,67,[2_1|2]), (231,68,[2_1|2]), (231,91,[2_1|2]), (231,140,[2_1|2]), (231,236,[2_1|2]), (231,260,[2_1|2]), (231,285,[2_1|2]), (231,295,[2_1|2]), (231,300,[2_1|2]), (231,232,[0_1|2]), (231,241,[3_1|2]), (231,246,[4_1|2]), (231,250,[4_1|2]), (231,255,[0_1|2]), (231,265,[0_1|2]), (231,318,[0_1|3]), (231,323,[4_1|3]), (231,327,[4_1|3]), (232,233,[2_1|2]), (233,234,[4_1|2]), (234,235,[1_1|2]), (235,67,[2_1|2]), (235,68,[2_1|2]), (235,91,[2_1|2]), (235,140,[2_1|2]), (235,236,[2_1|2]), (235,260,[2_1|2]), (235,285,[2_1|2]), (235,295,[2_1|2]), (235,300,[2_1|2]), (235,232,[0_1|2]), (235,241,[3_1|2]), (235,246,[4_1|2]), (235,250,[4_1|2]), (235,255,[0_1|2]), (235,265,[0_1|2]), (235,318,[0_1|3]), (235,323,[4_1|3]), (235,327,[4_1|3]), (236,237,[5_1|2]), (237,238,[0_1|2]), (238,239,[2_1|2]), (239,240,[2_1|2]), (239,260,[2_1|2]), (240,67,[1_1|2]), (240,68,[1_1|2]), (240,91,[1_1|2]), (240,140,[1_1|2]), (240,236,[1_1|2]), (240,260,[1_1|2]), (240,285,[1_1|2]), (240,295,[1_1|2]), (240,300,[1_1|2]), (241,242,[1_1|2]), (242,243,[3_1|2]), (243,244,[2_1|2]), (243,323,[4_1|3]), (243,327,[4_1|3]), (244,245,[2_1|2]), (244,232,[0_1|2]), (244,236,[2_1|2]), (244,241,[3_1|2]), (244,246,[4_1|2]), (244,250,[4_1|2]), (244,255,[0_1|2]), (244,372,[4_1|3]), (244,376,[4_1|3]), (244,381,[0_1|3]), (244,318,[0_1|3]), (245,67,[0_1|2]), (245,68,[0_1|2, 2_1|2]), (245,91,[0_1|2, 2_1|2]), (245,140,[0_1|2, 2_1|2]), (245,236,[0_1|2]), (245,260,[0_1|2]), (245,285,[0_1|2]), (245,295,[0_1|2]), (245,300,[0_1|2]), (245,72,[3_1|2]), (245,76,[0_1|2]), (245,81,[0_1|2]), (245,86,[0_1|2]), (245,96,[0_1|2]), (245,101,[3_1|2]), (245,105,[3_1|2]), (245,110,[4_1|2]), (245,115,[5_1|2]), (245,120,[3_1|2]), (245,125,[5_1|2]), (245,130,[0_1|2]), (245,135,[1_1|2]), (245,144,[4_1|2]), (245,149,[4_1|2]), (245,154,[1_1|2]), (245,159,[4_1|2]), (245,164,[3_1|2]), (245,169,[4_1|2]), (245,174,[1_1|2]), (245,179,[4_1|2]), (245,184,[4_1|2]), (245,188,[5_1|2]), (245,192,[3_1|2]), (245,197,[5_1|2]), (245,202,[5_1|2]), (245,207,[5_1|2]), (245,212,[4_1|2]), (245,217,[5_1|2]), (245,222,[4_1|2]), (245,227,[4_1|2]), (245,310,[4_1|3]), (245,314,[5_1|3]), (246,247,[0_1|2]), (247,248,[2_1|2]), (248,249,[2_1|2]), (248,260,[2_1|2]), (249,67,[1_1|2]), (249,68,[1_1|2]), (249,91,[1_1|2]), (249,140,[1_1|2]), (249,236,[1_1|2]), (249,260,[1_1|2]), (249,285,[1_1|2]), (249,295,[1_1|2]), (249,300,[1_1|2]), (249,180,[1_1|2]), (249,228,[1_1|2]), (249,267,[1_1|2]), (250,251,[0_1|2]), (251,252,[2_1|2]), (252,253,[1_1|2]), (253,254,[2_1|2]), (253,260,[2_1|2]), (254,67,[1_1|2]), (254,68,[1_1|2]), (254,91,[1_1|2]), (254,140,[1_1|2]), (254,236,[1_1|2]), (254,260,[1_1|2]), (254,285,[1_1|2]), (254,295,[1_1|2]), (254,300,[1_1|2]), (254,180,[1_1|2]), (254,228,[1_1|2]), (254,267,[1_1|2]), (255,256,[2_1|2]), (256,257,[1_1|2]), (257,258,[5_1|2]), (258,259,[2_1|2]), (258,323,[4_1|3]), (258,327,[4_1|3]), (259,67,[2_1|2]), (259,68,[2_1|2]), (259,91,[2_1|2]), (259,140,[2_1|2]), (259,236,[2_1|2]), (259,260,[2_1|2]), (259,285,[2_1|2]), (259,295,[2_1|2]), (259,300,[2_1|2]), (259,208,[2_1|2]), (259,232,[0_1|2]), (259,241,[3_1|2]), (259,246,[4_1|2]), (259,250,[4_1|2]), (259,255,[0_1|2]), (259,265,[0_1|2]), (259,318,[0_1|3]), (259,323,[4_1|3]), (259,327,[4_1|3]), (260,261,[1_1|2]), (261,262,[1_1|2]), (262,263,[0_1|2]), (263,264,[2_1|2]), (264,67,[3_1|2]), (264,68,[3_1|2]), (264,91,[3_1|2]), (264,140,[3_1|2]), (264,236,[3_1|2]), (264,260,[3_1|2]), (264,285,[3_1|2, 2_1|2]), (264,295,[3_1|2, 2_1|2]), (264,300,[3_1|2, 2_1|2]), (264,270,[0_1|2]), (264,275,[4_1|2]), (264,280,[0_1|2]), (264,290,[4_1|2]), (264,305,[5_1|2]), (264,386,[0_1|3]), (264,391,[4_1|3]), (265,266,[4_1|2]), (266,267,[2_1|2]), (267,268,[3_1|2]), (268,269,[5_1|2]), (269,67,[2_1|2]), (269,68,[2_1|2]), (269,91,[2_1|2]), (269,140,[2_1|2]), (269,236,[2_1|2]), (269,260,[2_1|2]), (269,285,[2_1|2]), (269,295,[2_1|2]), (269,300,[2_1|2]), (269,208,[2_1|2]), (269,172,[2_1|2]), (269,232,[0_1|2]), (269,241,[3_1|2]), (269,246,[4_1|2]), (269,250,[4_1|2]), (269,255,[0_1|2]), (269,265,[0_1|2]), (269,318,[0_1|3]), (269,323,[4_1|3]), (269,327,[4_1|3]), (270,271,[3_1|2]), (271,272,[4_1|2]), (272,273,[1_1|2]), (273,274,[1_1|2]), (274,67,[2_1|2]), (274,68,[2_1|2]), (274,91,[2_1|2]), (274,140,[2_1|2]), (274,236,[2_1|2]), (274,260,[2_1|2]), (274,285,[2_1|2]), (274,295,[2_1|2]), (274,300,[2_1|2]), (274,180,[2_1|2]), (274,228,[2_1|2]), (274,267,[2_1|2]), (274,232,[0_1|2]), (274,241,[3_1|2]), (274,246,[4_1|2]), (274,250,[4_1|2]), (274,255,[0_1|2]), (274,265,[0_1|2]), (274,318,[0_1|3]), (274,323,[4_1|3]), (274,327,[4_1|3]), (275,276,[3_1|2]), (276,277,[3_1|2]), (277,278,[1_1|2]), (278,279,[0_1|2]), (279,67,[2_1|2]), (279,68,[2_1|2]), (279,91,[2_1|2]), (279,140,[2_1|2]), (279,236,[2_1|2]), (279,260,[2_1|2]), (279,285,[2_1|2]), (279,295,[2_1|2]), (279,300,[2_1|2]), (279,180,[2_1|2]), (279,228,[2_1|2]), (279,267,[2_1|2]), (279,232,[0_1|2]), (279,241,[3_1|2]), (279,246,[4_1|2]), (279,250,[4_1|2]), (279,255,[0_1|2]), (279,265,[0_1|2]), (279,318,[0_1|3]), (279,323,[4_1|3]), (279,327,[4_1|3]), (280,281,[3_1|2]), (281,282,[5_1|2]), (282,283,[1_1|2]), (283,284,[0_1|2]), (284,67,[2_1|2]), (284,68,[2_1|2]), (284,91,[2_1|2]), (284,140,[2_1|2]), (284,236,[2_1|2]), (284,260,[2_1|2]), (284,285,[2_1|2]), (284,295,[2_1|2]), (284,300,[2_1|2]), (284,232,[0_1|2]), (284,241,[3_1|2]), (284,246,[4_1|2]), (284,250,[4_1|2]), (284,255,[0_1|2]), (284,265,[0_1|2]), (284,318,[0_1|3]), (284,323,[4_1|3]), (284,327,[4_1|3]), (285,286,[0_1|2]), (286,287,[0_1|2]), (287,288,[3_1|2]), (288,289,[5_1|2]), (289,67,[1_1|2]), (289,68,[1_1|2]), (289,91,[1_1|2]), (289,140,[1_1|2]), (289,236,[1_1|2]), (289,260,[1_1|2]), (289,285,[1_1|2]), (289,295,[1_1|2]), (289,300,[1_1|2]), (289,208,[1_1|2]), (290,291,[0_1|2]), (291,292,[3_1|2]), (292,293,[5_1|2]), (293,294,[2_1|2]), (293,260,[2_1|2]), (294,67,[1_1|2]), (294,68,[1_1|2]), (294,91,[1_1|2]), (294,140,[1_1|2]), (294,236,[1_1|2]), (294,260,[1_1|2]), (294,285,[1_1|2]), (294,295,[1_1|2]), (294,300,[1_1|2]), (294,180,[1_1|2]), (294,228,[1_1|2]), (295,296,[1_1|2]), (296,297,[3_1|2]), (297,298,[1_1|2]), (298,299,[0_1|2]), (299,67,[2_1|2]), (299,68,[2_1|2]), (299,91,[2_1|2]), (299,140,[2_1|2]), (299,236,[2_1|2]), (299,260,[2_1|2]), (299,285,[2_1|2]), (299,295,[2_1|2]), (299,300,[2_1|2]), (299,232,[0_1|2]), (299,241,[3_1|2]), (299,246,[4_1|2]), (299,250,[4_1|2]), (299,255,[0_1|2]), (299,265,[0_1|2]), (299,318,[0_1|3]), (299,323,[4_1|3]), (299,327,[4_1|3]), (300,301,[0_1|2]), (301,302,[2_1|2]), (302,303,[3_1|2]), (303,304,[4_1|2]), (304,67,[5_1|2]), (304,68,[5_1|2]), (304,91,[5_1|2]), (304,140,[5_1|2]), (304,236,[5_1|2]), (304,260,[5_1|2]), (304,285,[5_1|2]), (304,295,[5_1|2]), (304,300,[5_1|2]), (304,208,[5_1|2]), (305,306,[3_1|2]), (306,307,[0_1|2]), (307,308,[2_1|2]), (308,309,[2_1|2]), (308,323,[4_1|3]), (308,327,[4_1|3]), (309,67,[2_1|2]), (309,68,[2_1|2]), (309,91,[2_1|2]), (309,140,[2_1|2]), (309,236,[2_1|2]), (309,260,[2_1|2]), (309,285,[2_1|2]), (309,295,[2_1|2]), (309,300,[2_1|2]), (309,208,[2_1|2]), (309,232,[0_1|2]), (309,241,[3_1|2]), (309,246,[4_1|2]), (309,250,[4_1|2]), (309,255,[0_1|2]), (309,265,[0_1|2]), (309,318,[0_1|3]), (309,323,[4_1|3]), (309,327,[4_1|3]), (310,311,[0_1|3]), (311,312,[0_1|3]), (312,313,[3_1|3]), (313,117,[5_1|3]), (314,315,[0_1|3]), (315,316,[0_1|3]), (316,317,[3_1|3]), (317,117,[4_1|3]), (318,319,[4_1|3]), (319,320,[2_1|3]), (320,321,[3_1|3]), (321,322,[5_1|3]), (322,172,[2_1|3]), (322,260,[2_1|3, 2_1|2]), (323,324,[0_1|3]), (324,325,[2_1|3]), (325,326,[2_1|3]), (326,267,[1_1|3]), (326,320,[1_1|3]), (327,328,[0_1|3]), (328,329,[2_1|3]), (329,330,[1_1|3]), (330,331,[2_1|3]), (331,267,[1_1|3]), (331,320,[1_1|3]), (332,333,[0_1|3]), (333,334,[2_1|3]), (334,335,[2_1|3]), (335,68,[1_1|3]), (335,91,[1_1|3]), (335,140,[1_1|3]), (335,236,[1_1|3]), (335,260,[1_1|3]), (335,285,[1_1|3]), (335,295,[1_1|3]), (335,300,[1_1|3]), (336,337,[0_1|3]), (337,338,[2_1|3]), (338,339,[1_1|3]), (339,340,[2_1|3]), (340,68,[1_1|3]), (340,91,[1_1|3]), (340,140,[1_1|3]), (340,236,[1_1|3]), (340,260,[1_1|3]), (340,285,[1_1|3]), (340,295,[1_1|3]), (340,300,[1_1|3]), (341,342,[0_1|3]), (342,343,[0_1|3]), (343,344,[3_1|3]), (344,110,[5_1|3]), (344,144,[5_1|3]), (344,149,[5_1|3]), (344,159,[5_1|3]), (344,169,[5_1|3]), (344,179,[5_1|3]), (344,184,[5_1|3]), (344,212,[5_1|3]), (344,222,[5_1|3]), (344,227,[5_1|3]), (344,246,[5_1|3]), (344,250,[5_1|3]), (344,275,[5_1|3]), (344,290,[5_1|3]), (345,346,[0_1|3]), (346,347,[0_1|3]), (347,348,[3_1|3]), (348,110,[4_1|3]), (348,144,[4_1|3]), (348,149,[4_1|3]), (348,159,[4_1|3]), (348,169,[4_1|3]), (348,179,[4_1|3]), (348,184,[4_1|3]), (348,212,[4_1|3]), (348,222,[4_1|3]), (348,227,[4_1|3]), (348,246,[4_1|3]), (348,250,[4_1|3]), (348,275,[4_1|3]), (348,290,[4_1|3]), (349,350,[5_1|3]), (350,351,[2_1|3]), (351,352,[0_1|3]), (352,353,[0_1|3]), (352,310,[4_1|3]), (352,314,[5_1|3]), (353,115,[5_1|3]), (353,125,[5_1|3]), (353,188,[5_1|3]), (353,197,[5_1|3]), (353,202,[5_1|3]), (353,207,[5_1|3]), (353,217,[5_1|3]), (353,305,[5_1|3]), (354,355,[3_1|3]), (355,356,[5_1|3]), (356,357,[4_1|3]), (357,358,[0_1|3]), (358,115,[0_1|3]), (358,125,[0_1|3]), (358,188,[0_1|3]), (358,197,[0_1|3]), (358,202,[0_1|3]), (358,207,[0_1|3]), (358,217,[0_1|3]), (358,305,[0_1|3]), (359,360,[5_1|3]), (360,361,[3_1|3]), (361,362,[4_1|3]), (362,363,[0_1|3]), (363,115,[0_1|3]), (363,125,[0_1|3]), (363,188,[0_1|3]), (363,197,[0_1|3]), (363,202,[0_1|3]), (363,207,[0_1|3]), (363,217,[0_1|3]), (363,305,[0_1|3]), (364,365,[0_1|3]), (365,366,[0_1|3]), (366,367,[3_1|3]), (367,266,[5_1|3]), (367,117,[5_1|3]), (368,369,[0_1|3]), (369,370,[0_1|3]), (370,371,[3_1|3]), (371,266,[4_1|3]), (371,117,[4_1|3]), (372,373,[0_1|3]), (373,374,[2_1|3]), (374,375,[2_1|3]), (375,180,[1_1|3]), (375,228,[1_1|3]), (376,377,[0_1|3]), (377,378,[2_1|3]), (378,379,[1_1|3]), (379,380,[2_1|3]), (380,180,[1_1|3]), (380,228,[1_1|3]), (381,382,[2_1|3]), (382,383,[1_1|3]), (383,384,[5_1|3]), (384,385,[2_1|3]), (385,208,[2_1|3]), (386,387,[3_1|3]), (387,388,[4_1|3]), (388,389,[1_1|3]), (389,390,[1_1|3]), (390,267,[2_1|3]), (391,392,[3_1|3]), (392,393,[3_1|3]), (393,394,[1_1|3]), (394,395,[0_1|3]), (395,267,[2_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)