/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 63 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 209 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(x1))) -> 2(3(1(4(0(0(x1)))))) 1(0(0(x1))) -> 0(2(3(1(0(x1))))) 1(0(1(x1))) -> 0(2(1(2(3(1(x1)))))) 1(0(1(x1))) -> 1(0(5(2(3(1(x1)))))) 1(0(1(x1))) -> 2(1(0(2(3(1(x1)))))) 4(0(0(x1))) -> 0(2(3(4(0(x1))))) 4(0(1(x1))) -> 0(2(2(1(4(x1))))) 4(0(1(x1))) -> 0(2(3(4(1(x1))))) 5(1(0(x1))) -> 5(2(3(1(0(x1))))) 5(1(0(x1))) -> 5(2(3(3(1(0(x1)))))) 5(1(1(x1))) -> 2(3(1(4(1(5(x1)))))) 5(1(1(x1))) -> 5(3(2(3(1(1(x1)))))) 0(0(3(0(x1)))) -> 4(0(0(2(3(0(x1)))))) 0(3(0(1(x1)))) -> 0(0(2(2(1(3(x1)))))) 1(0(3(1(x1)))) -> 0(1(2(3(1(3(x1)))))) 1(0(3(1(x1)))) -> 0(4(1(2(3(1(x1)))))) 1(2(5(1(x1)))) -> 5(4(2(3(1(1(x1)))))) 4(0(1(1(x1)))) -> 0(2(4(1(1(x1))))) 4(0(1(5(x1)))) -> 5(0(2(3(1(4(x1)))))) 4(0(1(5(x1)))) -> 5(4(1(3(4(0(x1)))))) 4(0(3(0(x1)))) -> 0(2(3(0(4(5(x1)))))) 4(0(3(5(x1)))) -> 0(2(3(4(1(5(x1)))))) 4(2(5(0(x1)))) -> 4(5(2(3(0(x1))))) 4(2(5(0(x1)))) -> 4(0(2(3(5(4(x1)))))) 4(3(0(0(x1)))) -> 0(2(3(4(3(0(x1)))))) 4(3(0(1(x1)))) -> 1(4(0(2(3(x1))))) 4(3(0(1(x1)))) -> 3(0(2(2(4(1(x1)))))) 5(1(1(1(x1)))) -> 2(2(1(1(5(1(x1)))))) 0(0(1(2(5(x1))))) -> 2(3(1(5(0(0(x1)))))) 0(1(3(0(0(x1))))) -> 2(3(1(0(0(0(x1)))))) 0(2(5(3(1(x1))))) -> 2(0(5(4(1(3(x1)))))) 0(2(5(5(1(x1))))) -> 0(2(1(5(4(5(x1)))))) 0(3(0(5(1(x1))))) -> 2(1(5(3(0(0(x1)))))) 0(4(3(5(1(x1))))) -> 2(4(3(1(0(5(x1)))))) 0(5(1(1(5(x1))))) -> 0(1(2(1(5(5(x1)))))) 0(5(1(3(0(x1))))) -> 2(1(3(5(0(0(x1)))))) 1(0(4(1(5(x1))))) -> 4(1(2(1(5(0(x1)))))) 1(2(4(5(1(x1))))) -> 1(4(1(5(2(3(x1)))))) 1(2(5(3(0(x1))))) -> 1(4(2(3(5(0(x1)))))) 1(3(0(4(0(x1))))) -> 0(2(3(1(4(0(x1)))))) 4(0(3(1(5(x1))))) -> 4(4(3(5(0(1(x1)))))) 4(2(5(0(0(x1))))) -> 0(5(2(0(4(4(x1)))))) 4(2(5(0(0(x1))))) -> 5(2(3(4(0(0(x1)))))) 4(2(5(3(0(x1))))) -> 4(0(2(5(2(3(x1)))))) 4(2(5(3(0(x1))))) -> 5(2(4(3(1(0(x1)))))) 4(2(5(3(1(x1))))) -> 2(3(1(5(4(2(x1)))))) 4(3(0(0(1(x1))))) -> 2(4(3(1(0(0(x1)))))) 4(3(2(5(0(x1))))) -> 0(4(2(3(4(5(x1)))))) 4(5(1(3(1(x1))))) -> 4(1(3(5(4(1(x1)))))) 5(1(4(3(1(x1))))) -> 5(3(2(4(1(1(x1)))))) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(2(x_1)) -> 2(encArg(x_1)) encArg(3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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 (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(x1))) -> 2(3(1(4(0(0(x1)))))) 1(0(0(x1))) -> 0(2(3(1(0(x1))))) 1(0(1(x1))) -> 0(2(1(2(3(1(x1)))))) 1(0(1(x1))) -> 1(0(5(2(3(1(x1)))))) 1(0(1(x1))) -> 2(1(0(2(3(1(x1)))))) 4(0(0(x1))) -> 0(2(3(4(0(x1))))) 4(0(1(x1))) -> 0(2(2(1(4(x1))))) 4(0(1(x1))) -> 0(2(3(4(1(x1))))) 5(1(0(x1))) -> 5(2(3(1(0(x1))))) 5(1(0(x1))) -> 5(2(3(3(1(0(x1)))))) 5(1(1(x1))) -> 2(3(1(4(1(5(x1)))))) 5(1(1(x1))) -> 5(3(2(3(1(1(x1)))))) 0(0(3(0(x1)))) -> 4(0(0(2(3(0(x1)))))) 0(3(0(1(x1)))) -> 0(0(2(2(1(3(x1)))))) 1(0(3(1(x1)))) -> 0(1(2(3(1(3(x1)))))) 1(0(3(1(x1)))) -> 0(4(1(2(3(1(x1)))))) 1(2(5(1(x1)))) -> 5(4(2(3(1(1(x1)))))) 4(0(1(1(x1)))) -> 0(2(4(1(1(x1))))) 4(0(1(5(x1)))) -> 5(0(2(3(1(4(x1)))))) 4(0(1(5(x1)))) -> 5(4(1(3(4(0(x1)))))) 4(0(3(0(x1)))) -> 0(2(3(0(4(5(x1)))))) 4(0(3(5(x1)))) -> 0(2(3(4(1(5(x1)))))) 4(2(5(0(x1)))) -> 4(5(2(3(0(x1))))) 4(2(5(0(x1)))) -> 4(0(2(3(5(4(x1)))))) 4(3(0(0(x1)))) -> 0(2(3(4(3(0(x1)))))) 4(3(0(1(x1)))) -> 1(4(0(2(3(x1))))) 4(3(0(1(x1)))) -> 3(0(2(2(4(1(x1)))))) 5(1(1(1(x1)))) -> 2(2(1(1(5(1(x1)))))) 0(0(1(2(5(x1))))) -> 2(3(1(5(0(0(x1)))))) 0(1(3(0(0(x1))))) -> 2(3(1(0(0(0(x1)))))) 0(2(5(3(1(x1))))) -> 2(0(5(4(1(3(x1)))))) 0(2(5(5(1(x1))))) -> 0(2(1(5(4(5(x1)))))) 0(3(0(5(1(x1))))) -> 2(1(5(3(0(0(x1)))))) 0(4(3(5(1(x1))))) -> 2(4(3(1(0(5(x1)))))) 0(5(1(1(5(x1))))) -> 0(1(2(1(5(5(x1)))))) 0(5(1(3(0(x1))))) -> 2(1(3(5(0(0(x1)))))) 1(0(4(1(5(x1))))) -> 4(1(2(1(5(0(x1)))))) 1(2(4(5(1(x1))))) -> 1(4(1(5(2(3(x1)))))) 1(2(5(3(0(x1))))) -> 1(4(2(3(5(0(x1)))))) 1(3(0(4(0(x1))))) -> 0(2(3(1(4(0(x1)))))) 4(0(3(1(5(x1))))) -> 4(4(3(5(0(1(x1)))))) 4(2(5(0(0(x1))))) -> 0(5(2(0(4(4(x1)))))) 4(2(5(0(0(x1))))) -> 5(2(3(4(0(0(x1)))))) 4(2(5(3(0(x1))))) -> 4(0(2(5(2(3(x1)))))) 4(2(5(3(0(x1))))) -> 5(2(4(3(1(0(x1)))))) 4(2(5(3(1(x1))))) -> 2(3(1(5(4(2(x1)))))) 4(3(0(0(1(x1))))) -> 2(4(3(1(0(0(x1)))))) 4(3(2(5(0(x1))))) -> 0(4(2(3(4(5(x1)))))) 4(5(1(3(1(x1))))) -> 4(1(3(5(4(1(x1)))))) 5(1(4(3(1(x1))))) -> 5(3(2(4(1(1(x1)))))) The (relative) TRS S consists of the following rules: encArg(2(x_1)) -> 2(encArg(x_1)) encArg(3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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: 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(x1))) -> 2(3(1(4(0(0(x1)))))) 1(0(0(x1))) -> 0(2(3(1(0(x1))))) 1(0(1(x1))) -> 0(2(1(2(3(1(x1)))))) 1(0(1(x1))) -> 1(0(5(2(3(1(x1)))))) 1(0(1(x1))) -> 2(1(0(2(3(1(x1)))))) 4(0(0(x1))) -> 0(2(3(4(0(x1))))) 4(0(1(x1))) -> 0(2(2(1(4(x1))))) 4(0(1(x1))) -> 0(2(3(4(1(x1))))) 5(1(0(x1))) -> 5(2(3(1(0(x1))))) 5(1(0(x1))) -> 5(2(3(3(1(0(x1)))))) 5(1(1(x1))) -> 2(3(1(4(1(5(x1)))))) 5(1(1(x1))) -> 5(3(2(3(1(1(x1)))))) 0(0(3(0(x1)))) -> 4(0(0(2(3(0(x1)))))) 0(3(0(1(x1)))) -> 0(0(2(2(1(3(x1)))))) 1(0(3(1(x1)))) -> 0(1(2(3(1(3(x1)))))) 1(0(3(1(x1)))) -> 0(4(1(2(3(1(x1)))))) 1(2(5(1(x1)))) -> 5(4(2(3(1(1(x1)))))) 4(0(1(1(x1)))) -> 0(2(4(1(1(x1))))) 4(0(1(5(x1)))) -> 5(0(2(3(1(4(x1)))))) 4(0(1(5(x1)))) -> 5(4(1(3(4(0(x1)))))) 4(0(3(0(x1)))) -> 0(2(3(0(4(5(x1)))))) 4(0(3(5(x1)))) -> 0(2(3(4(1(5(x1)))))) 4(2(5(0(x1)))) -> 4(5(2(3(0(x1))))) 4(2(5(0(x1)))) -> 4(0(2(3(5(4(x1)))))) 4(3(0(0(x1)))) -> 0(2(3(4(3(0(x1)))))) 4(3(0(1(x1)))) -> 1(4(0(2(3(x1))))) 4(3(0(1(x1)))) -> 3(0(2(2(4(1(x1)))))) 5(1(1(1(x1)))) -> 2(2(1(1(5(1(x1)))))) 0(0(1(2(5(x1))))) -> 2(3(1(5(0(0(x1)))))) 0(1(3(0(0(x1))))) -> 2(3(1(0(0(0(x1)))))) 0(2(5(3(1(x1))))) -> 2(0(5(4(1(3(x1)))))) 0(2(5(5(1(x1))))) -> 0(2(1(5(4(5(x1)))))) 0(3(0(5(1(x1))))) -> 2(1(5(3(0(0(x1)))))) 0(4(3(5(1(x1))))) -> 2(4(3(1(0(5(x1)))))) 0(5(1(1(5(x1))))) -> 0(1(2(1(5(5(x1)))))) 0(5(1(3(0(x1))))) -> 2(1(3(5(0(0(x1)))))) 1(0(4(1(5(x1))))) -> 4(1(2(1(5(0(x1)))))) 1(2(4(5(1(x1))))) -> 1(4(1(5(2(3(x1)))))) 1(2(5(3(0(x1))))) -> 1(4(2(3(5(0(x1)))))) 1(3(0(4(0(x1))))) -> 0(2(3(1(4(0(x1)))))) 4(0(3(1(5(x1))))) -> 4(4(3(5(0(1(x1)))))) 4(2(5(0(0(x1))))) -> 0(5(2(0(4(4(x1)))))) 4(2(5(0(0(x1))))) -> 5(2(3(4(0(0(x1)))))) 4(2(5(3(0(x1))))) -> 4(0(2(5(2(3(x1)))))) 4(2(5(3(0(x1))))) -> 5(2(4(3(1(0(x1)))))) 4(2(5(3(1(x1))))) -> 2(3(1(5(4(2(x1)))))) 4(3(0(0(1(x1))))) -> 2(4(3(1(0(0(x1)))))) 4(3(2(5(0(x1))))) -> 0(4(2(3(4(5(x1)))))) 4(5(1(3(1(x1))))) -> 4(1(3(5(4(1(x1)))))) 5(1(4(3(1(x1))))) -> 5(3(2(4(1(1(x1)))))) The (relative) TRS S consists of the following rules: encArg(2(x_1)) -> 2(encArg(x_1)) encArg(3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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: 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(x1))) -> 2(3(1(4(0(0(x1)))))) 1(0(0(x1))) -> 0(2(3(1(0(x1))))) 1(0(1(x1))) -> 0(2(1(2(3(1(x1)))))) 1(0(1(x1))) -> 1(0(5(2(3(1(x1)))))) 1(0(1(x1))) -> 2(1(0(2(3(1(x1)))))) 4(0(0(x1))) -> 0(2(3(4(0(x1))))) 4(0(1(x1))) -> 0(2(2(1(4(x1))))) 4(0(1(x1))) -> 0(2(3(4(1(x1))))) 5(1(0(x1))) -> 5(2(3(1(0(x1))))) 5(1(0(x1))) -> 5(2(3(3(1(0(x1)))))) 5(1(1(x1))) -> 2(3(1(4(1(5(x1)))))) 5(1(1(x1))) -> 5(3(2(3(1(1(x1)))))) 0(0(3(0(x1)))) -> 4(0(0(2(3(0(x1)))))) 0(3(0(1(x1)))) -> 0(0(2(2(1(3(x1)))))) 1(0(3(1(x1)))) -> 0(1(2(3(1(3(x1)))))) 1(0(3(1(x1)))) -> 0(4(1(2(3(1(x1)))))) 1(2(5(1(x1)))) -> 5(4(2(3(1(1(x1)))))) 4(0(1(1(x1)))) -> 0(2(4(1(1(x1))))) 4(0(1(5(x1)))) -> 5(0(2(3(1(4(x1)))))) 4(0(1(5(x1)))) -> 5(4(1(3(4(0(x1)))))) 4(0(3(0(x1)))) -> 0(2(3(0(4(5(x1)))))) 4(0(3(5(x1)))) -> 0(2(3(4(1(5(x1)))))) 4(2(5(0(x1)))) -> 4(5(2(3(0(x1))))) 4(2(5(0(x1)))) -> 4(0(2(3(5(4(x1)))))) 4(3(0(0(x1)))) -> 0(2(3(4(3(0(x1)))))) 4(3(0(1(x1)))) -> 1(4(0(2(3(x1))))) 4(3(0(1(x1)))) -> 3(0(2(2(4(1(x1)))))) 5(1(1(1(x1)))) -> 2(2(1(1(5(1(x1)))))) 0(0(1(2(5(x1))))) -> 2(3(1(5(0(0(x1)))))) 0(1(3(0(0(x1))))) -> 2(3(1(0(0(0(x1)))))) 0(2(5(3(1(x1))))) -> 2(0(5(4(1(3(x1)))))) 0(2(5(5(1(x1))))) -> 0(2(1(5(4(5(x1)))))) 0(3(0(5(1(x1))))) -> 2(1(5(3(0(0(x1)))))) 0(4(3(5(1(x1))))) -> 2(4(3(1(0(5(x1)))))) 0(5(1(1(5(x1))))) -> 0(1(2(1(5(5(x1)))))) 0(5(1(3(0(x1))))) -> 2(1(3(5(0(0(x1)))))) 1(0(4(1(5(x1))))) -> 4(1(2(1(5(0(x1)))))) 1(2(4(5(1(x1))))) -> 1(4(1(5(2(3(x1)))))) 1(2(5(3(0(x1))))) -> 1(4(2(3(5(0(x1)))))) 1(3(0(4(0(x1))))) -> 0(2(3(1(4(0(x1)))))) 4(0(3(1(5(x1))))) -> 4(4(3(5(0(1(x1)))))) 4(2(5(0(0(x1))))) -> 0(5(2(0(4(4(x1)))))) 4(2(5(0(0(x1))))) -> 5(2(3(4(0(0(x1)))))) 4(2(5(3(0(x1))))) -> 4(0(2(5(2(3(x1)))))) 4(2(5(3(0(x1))))) -> 5(2(4(3(1(0(x1)))))) 4(2(5(3(1(x1))))) -> 2(3(1(5(4(2(x1)))))) 4(3(0(0(1(x1))))) -> 2(4(3(1(0(0(x1)))))) 4(3(2(5(0(x1))))) -> 0(4(2(3(4(5(x1)))))) 4(5(1(3(1(x1))))) -> 4(1(3(5(4(1(x1)))))) 5(1(4(3(1(x1))))) -> 5(3(2(4(1(1(x1)))))) encArg(2(x_1)) -> 2(encArg(x_1)) encArg(3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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: 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 4. The certificate found is represented by the following graph. "[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, 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, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522] {(75,76,[0_1|0, 1_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]), (75,77,[2_1|1, 3_1|1, 0_1|1, 1_1|1, 4_1|1, 5_1|1]), (75,78,[2_1|2]), (75,83,[2_1|2]), (75,88,[4_1|2]), (75,93,[0_1|2]), (75,98,[2_1|2]), (75,103,[2_1|2]), (75,108,[2_1|2]), (75,113,[0_1|2]), (75,118,[2_1|2]), (75,123,[0_1|2]), (75,128,[2_1|2]), (75,133,[0_1|2]), (75,137,[0_1|2]), (75,142,[1_1|2]), (75,147,[2_1|2]), (75,152,[0_1|2]), (75,157,[0_1|2]), (75,162,[4_1|2]), (75,167,[5_1|2]), (75,172,[1_1|2]), (75,177,[1_1|2]), (75,182,[0_1|2]), (75,187,[0_1|2]), (75,191,[0_1|2]), (75,195,[0_1|2]), (75,199,[0_1|2]), (75,203,[5_1|2]), (75,208,[5_1|2]), (75,213,[0_1|2]), (75,218,[0_1|2]), (75,223,[4_1|2]), (75,228,[4_1|2]), (75,232,[4_1|2]), (75,237,[0_1|2]), (75,242,[5_1|2]), (75,247,[4_1|2]), (75,252,[5_1|2]), (75,257,[2_1|2]), (75,262,[0_1|2]), (75,267,[2_1|2]), (75,272,[1_1|2]), (75,276,[3_1|2]), (75,281,[0_1|2]), (75,286,[4_1|2]), (75,291,[5_1|2]), (75,295,[5_1|2]), (75,300,[2_1|2]), (75,305,[5_1|2]), (75,310,[2_1|2]), (75,315,[5_1|2]), (75,331,[0_1|3]), (76,76,[2_1|0, 3_1|0, cons_0_1|0, cons_1_1|0, cons_4_1|0, cons_5_1|0]), (77,76,[encArg_1|1]), (77,77,[2_1|1, 3_1|1, 0_1|1, 1_1|1, 4_1|1, 5_1|1]), (77,78,[2_1|2]), (77,83,[2_1|2]), (77,88,[4_1|2]), (77,93,[0_1|2]), (77,98,[2_1|2]), (77,103,[2_1|2]), (77,108,[2_1|2]), (77,113,[0_1|2]), (77,118,[2_1|2]), (77,123,[0_1|2]), (77,128,[2_1|2]), (77,133,[0_1|2]), (77,137,[0_1|2]), (77,142,[1_1|2]), (77,147,[2_1|2]), (77,152,[0_1|2]), (77,157,[0_1|2]), (77,162,[4_1|2]), (77,167,[5_1|2]), (77,172,[1_1|2]), (77,177,[1_1|2]), (77,182,[0_1|2]), (77,187,[0_1|2]), (77,191,[0_1|2]), (77,195,[0_1|2]), (77,199,[0_1|2]), (77,203,[5_1|2]), (77,208,[5_1|2]), (77,213,[0_1|2]), (77,218,[0_1|2]), (77,223,[4_1|2]), (77,228,[4_1|2]), (77,232,[4_1|2]), (77,237,[0_1|2]), (77,242,[5_1|2]), (77,247,[4_1|2]), (77,252,[5_1|2]), (77,257,[2_1|2]), (77,262,[0_1|2]), (77,267,[2_1|2]), (77,272,[1_1|2]), (77,276,[3_1|2]), (77,281,[0_1|2]), (77,286,[4_1|2]), (77,291,[5_1|2]), (77,295,[5_1|2]), (77,300,[2_1|2]), (77,305,[5_1|2]), (77,310,[2_1|2]), (77,315,[5_1|2]), (77,331,[0_1|3]), (78,79,[3_1|2]), (79,80,[1_1|2]), (80,81,[4_1|2]), (80,335,[0_1|3]), (81,82,[0_1|2]), (81,78,[2_1|2]), (81,83,[2_1|2]), (81,88,[4_1|2]), (81,339,[2_1|3]), (81,344,[4_1|3]), (81,331,[0_1|3]), (81,485,[0_1|4]), (82,77,[0_1|2]), (82,142,[0_1|2]), (82,172,[0_1|2]), (82,177,[0_1|2]), (82,272,[0_1|2]), (82,124,[0_1|2]), (82,153,[0_1|2]), (82,78,[2_1|2]), (82,83,[2_1|2]), (82,88,[4_1|2]), (82,93,[0_1|2]), (82,98,[2_1|2]), (82,103,[2_1|2]), (82,108,[2_1|2]), (82,113,[0_1|2]), (82,118,[2_1|2]), (82,123,[0_1|2]), (82,128,[2_1|2]), (82,349,[2_1|3]), (82,331,[0_1|3]), (83,84,[3_1|2]), (84,85,[1_1|2]), (85,86,[5_1|2]), (86,87,[0_1|2]), (86,78,[2_1|2]), (86,83,[2_1|2]), (86,88,[4_1|2]), (86,339,[2_1|3]), (86,344,[4_1|3]), (86,331,[0_1|3]), (86,485,[0_1|4]), (87,77,[0_1|2]), (87,167,[0_1|2]), (87,203,[0_1|2]), (87,208,[0_1|2]), (87,242,[0_1|2]), (87,252,[0_1|2]), (87,291,[0_1|2]), (87,295,[0_1|2]), (87,305,[0_1|2]), (87,315,[0_1|2]), (87,78,[2_1|2]), (87,83,[2_1|2]), (87,88,[4_1|2]), (87,93,[0_1|2]), (87,98,[2_1|2]), (87,103,[2_1|2]), (87,108,[2_1|2]), (87,113,[0_1|2]), (87,118,[2_1|2]), (87,123,[0_1|2]), (87,128,[2_1|2]), (87,349,[2_1|3]), (87,331,[0_1|3]), (88,89,[0_1|2]), (89,90,[0_1|2]), (90,91,[2_1|2]), (91,92,[3_1|2]), (92,77,[0_1|2]), (92,93,[0_1|2]), (92,113,[0_1|2]), (92,123,[0_1|2]), (92,133,[0_1|2]), (92,137,[0_1|2]), (92,152,[0_1|2]), (92,157,[0_1|2]), (92,182,[0_1|2]), (92,187,[0_1|2]), (92,191,[0_1|2]), (92,195,[0_1|2]), (92,199,[0_1|2]), (92,213,[0_1|2]), (92,218,[0_1|2]), (92,237,[0_1|2]), (92,262,[0_1|2]), (92,281,[0_1|2]), (92,277,[0_1|2]), (92,78,[2_1|2]), (92,83,[2_1|2]), (92,88,[4_1|2]), (92,98,[2_1|2]), (92,103,[2_1|2]), (92,108,[2_1|2]), (92,118,[2_1|2]), (92,128,[2_1|2]), (92,349,[2_1|3]), (92,331,[0_1|2, 0_1|3]), (93,94,[0_1|2]), (94,95,[2_1|2]), (95,96,[2_1|2]), (96,97,[1_1|2]), (96,182,[0_1|2]), (97,77,[3_1|2]), (97,142,[3_1|2]), (97,172,[3_1|2]), (97,177,[3_1|2]), (97,272,[3_1|2]), (97,124,[3_1|2]), (97,153,[3_1|2]), (98,99,[1_1|2]), (99,100,[5_1|2]), (100,101,[3_1|2]), (101,102,[0_1|2]), (101,78,[2_1|2]), (101,83,[2_1|2]), (101,88,[4_1|2]), (101,339,[2_1|3]), (101,344,[4_1|3]), (101,331,[0_1|3]), (101,485,[0_1|4]), (102,77,[0_1|2]), (102,142,[0_1|2]), (102,172,[0_1|2]), (102,177,[0_1|2]), (102,272,[0_1|2]), (102,78,[2_1|2]), (102,83,[2_1|2]), (102,88,[4_1|2]), (102,93,[0_1|2]), (102,98,[2_1|2]), (102,103,[2_1|2]), (102,108,[2_1|2]), (102,113,[0_1|2]), (102,118,[2_1|2]), (102,123,[0_1|2]), (102,128,[2_1|2]), (102,349,[2_1|3]), (102,331,[0_1|3]), (103,104,[3_1|2]), (104,105,[1_1|2]), (104,354,[0_1|3]), (105,106,[0_1|2]), (106,107,[0_1|2]), (106,78,[2_1|2]), (106,83,[2_1|2]), (106,88,[4_1|2]), (106,339,[2_1|3]), (106,344,[4_1|3]), (106,331,[0_1|3]), (106,485,[0_1|4]), (107,77,[0_1|2]), (107,93,[0_1|2]), (107,113,[0_1|2]), (107,123,[0_1|2]), (107,133,[0_1|2]), (107,137,[0_1|2]), (107,152,[0_1|2]), (107,157,[0_1|2]), (107,182,[0_1|2]), (107,187,[0_1|2]), (107,191,[0_1|2]), (107,195,[0_1|2]), (107,199,[0_1|2]), (107,213,[0_1|2]), (107,218,[0_1|2]), (107,237,[0_1|2]), (107,262,[0_1|2]), (107,281,[0_1|2]), (107,94,[0_1|2]), (107,78,[2_1|2]), (107,83,[2_1|2]), (107,88,[4_1|2]), (107,98,[2_1|2]), (107,103,[2_1|2]), (107,108,[2_1|2]), (107,118,[2_1|2]), (107,128,[2_1|2]), (107,349,[2_1|3]), (107,331,[0_1|2, 0_1|3]), (108,109,[0_1|2]), (109,110,[5_1|2]), (110,111,[4_1|2]), (111,112,[1_1|2]), (111,182,[0_1|2]), (112,77,[3_1|2]), (112,142,[3_1|2]), (112,172,[3_1|2]), (112,177,[3_1|2]), (112,272,[3_1|2]), (113,114,[2_1|2]), (114,115,[1_1|2]), (115,116,[5_1|2]), (116,117,[4_1|2]), (116,286,[4_1|2]), (117,77,[5_1|2]), (117,142,[5_1|2]), (117,172,[5_1|2]), (117,177,[5_1|2]), (117,272,[5_1|2]), (117,291,[5_1|2]), (117,295,[5_1|2]), (117,300,[2_1|2]), (117,305,[5_1|2]), (117,310,[2_1|2]), (117,315,[5_1|2]), (117,358,[5_1|3]), (117,362,[5_1|3]), (118,119,[4_1|2]), (119,120,[3_1|2]), (120,121,[1_1|2]), (120,390,[0_1|3]), (120,395,[1_1|3]), (120,400,[2_1|3]), (121,122,[0_1|2]), (121,123,[0_1|2]), (121,128,[2_1|2]), (122,77,[5_1|2]), (122,142,[5_1|2]), (122,172,[5_1|2]), (122,177,[5_1|2]), (122,272,[5_1|2]), (122,291,[5_1|2]), (122,295,[5_1|2]), (122,300,[2_1|2]), (122,305,[5_1|2]), (122,310,[2_1|2]), (122,315,[5_1|2]), (122,358,[5_1|3]), (122,362,[5_1|3]), (123,124,[1_1|2]), (124,125,[2_1|2]), (125,126,[1_1|2]), (126,127,[5_1|2]), (127,77,[5_1|2]), (127,167,[5_1|2]), (127,203,[5_1|2]), (127,208,[5_1|2]), (127,242,[5_1|2]), (127,252,[5_1|2]), (127,291,[5_1|2]), (127,295,[5_1|2]), (127,305,[5_1|2]), (127,315,[5_1|2]), (127,300,[2_1|2]), (127,310,[2_1|2]), (127,358,[5_1|3]), (127,362,[5_1|3]), (128,129,[1_1|2]), (129,130,[3_1|2]), (130,131,[5_1|2]), (131,132,[0_1|2]), (131,78,[2_1|2]), (131,83,[2_1|2]), (131,88,[4_1|2]), (131,339,[2_1|3]), (131,344,[4_1|3]), (131,331,[0_1|3]), (131,485,[0_1|4]), (132,77,[0_1|2]), (132,93,[0_1|2]), (132,113,[0_1|2]), (132,123,[0_1|2]), (132,133,[0_1|2]), (132,137,[0_1|2]), (132,152,[0_1|2]), (132,157,[0_1|2]), (132,182,[0_1|2]), (132,187,[0_1|2]), (132,191,[0_1|2]), (132,195,[0_1|2]), (132,199,[0_1|2]), (132,213,[0_1|2]), (132,218,[0_1|2]), (132,237,[0_1|2]), (132,262,[0_1|2]), (132,281,[0_1|2]), (132,277,[0_1|2]), (132,78,[2_1|2]), (132,83,[2_1|2]), (132,88,[4_1|2]), (132,98,[2_1|2]), (132,103,[2_1|2]), (132,108,[2_1|2]), (132,118,[2_1|2]), (132,128,[2_1|2]), (132,349,[2_1|3]), (132,331,[0_1|2, 0_1|3]), (133,134,[2_1|2]), (134,135,[3_1|2]), (135,136,[1_1|2]), (135,133,[0_1|2]), (135,137,[0_1|2]), (135,142,[1_1|2]), (135,147,[2_1|2]), (135,152,[0_1|2]), (135,157,[0_1|2]), (135,162,[4_1|2]), (135,367,[0_1|3]), (135,371,[0_1|3]), (135,376,[1_1|3]), (135,381,[2_1|3]), (136,77,[0_1|2]), (136,93,[0_1|2]), (136,113,[0_1|2]), (136,123,[0_1|2]), (136,133,[0_1|2]), (136,137,[0_1|2]), (136,152,[0_1|2]), (136,157,[0_1|2]), (136,182,[0_1|2]), (136,187,[0_1|2]), (136,191,[0_1|2]), (136,195,[0_1|2]), (136,199,[0_1|2]), (136,213,[0_1|2]), (136,218,[0_1|2]), (136,237,[0_1|2]), (136,262,[0_1|2]), (136,281,[0_1|2]), (136,94,[0_1|2]), (136,78,[2_1|2]), (136,83,[2_1|2]), (136,88,[4_1|2]), (136,98,[2_1|2]), (136,103,[2_1|2]), (136,108,[2_1|2]), (136,118,[2_1|2]), (136,128,[2_1|2]), (136,349,[2_1|3]), (136,331,[0_1|2, 0_1|3]), (137,138,[2_1|2]), (138,139,[1_1|2]), (139,140,[2_1|2]), (140,141,[3_1|2]), (141,77,[1_1|2]), (141,142,[1_1|2]), (141,172,[1_1|2]), (141,177,[1_1|2]), (141,272,[1_1|2]), (141,124,[1_1|2]), (141,153,[1_1|2]), (141,133,[0_1|2]), (141,137,[0_1|2]), (141,147,[2_1|2]), (141,152,[0_1|2]), (141,157,[0_1|2]), (141,162,[4_1|2]), (141,167,[5_1|2]), (141,182,[0_1|2]), (141,386,[0_1|3]), (141,390,[0_1|3]), (141,395,[1_1|3]), (141,400,[2_1|3]), (142,143,[0_1|2]), (143,144,[5_1|2]), (144,145,[2_1|2]), (145,146,[3_1|2]), (146,77,[1_1|2]), (146,142,[1_1|2]), (146,172,[1_1|2]), (146,177,[1_1|2]), (146,272,[1_1|2]), (146,124,[1_1|2]), (146,153,[1_1|2]), (146,133,[0_1|2]), (146,137,[0_1|2]), (146,147,[2_1|2]), (146,152,[0_1|2]), (146,157,[0_1|2]), (146,162,[4_1|2]), (146,167,[5_1|2]), (146,182,[0_1|2]), (146,386,[0_1|3]), (146,390,[0_1|3]), (146,395,[1_1|3]), (146,400,[2_1|3]), (147,148,[1_1|2]), (148,149,[0_1|2]), (149,150,[2_1|2]), (150,151,[3_1|2]), (151,77,[1_1|2]), (151,142,[1_1|2]), (151,172,[1_1|2]), (151,177,[1_1|2]), (151,272,[1_1|2]), (151,124,[1_1|2]), (151,153,[1_1|2]), (151,133,[0_1|2]), (151,137,[0_1|2]), (151,147,[2_1|2]), (151,152,[0_1|2]), (151,157,[0_1|2]), (151,162,[4_1|2]), (151,167,[5_1|2]), (151,182,[0_1|2]), (151,386,[0_1|3]), (151,390,[0_1|3]), (151,395,[1_1|3]), (151,400,[2_1|3]), (152,153,[1_1|2]), (153,154,[2_1|2]), (154,155,[3_1|2]), (155,156,[1_1|2]), (155,182,[0_1|2]), (156,77,[3_1|2]), 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(464,152,[0_1|2]), (464,157,[0_1|2]), (464,162,[4_1|2]), (464,367,[0_1|3]), (464,371,[0_1|3]), (464,376,[1_1|3]), (464,381,[2_1|3]), (464,514,[0_1|4]), (464,518,[4_1|3]), (465,77,[0_1|3]), (465,142,[0_1|3]), (465,172,[0_1|3]), (465,177,[0_1|3]), (465,272,[0_1|3]), (465,124,[0_1|3]), (465,153,[0_1|3]), (465,93,[0_1|3, 0_1|2]), (465,113,[0_1|3, 0_1|2]), (465,123,[0_1|3, 0_1|2]), (465,133,[0_1|3]), (465,137,[0_1|3]), (465,152,[0_1|3]), (465,157,[0_1|3]), (465,182,[0_1|3]), (465,187,[0_1|3]), (465,191,[0_1|3]), (465,195,[0_1|3]), (465,199,[0_1|3]), (465,213,[0_1|3]), (465,218,[0_1|3]), (465,237,[0_1|3]), (465,262,[0_1|3]), (465,281,[0_1|3]), (465,94,[0_1|3]), (465,78,[2_1|2]), (465,83,[2_1|2]), (465,88,[4_1|2]), (465,98,[2_1|2]), (465,103,[2_1|2]), (465,108,[2_1|2]), (465,118,[2_1|2]), (465,128,[2_1|2]), (465,349,[2_1|3]), (465,331,[0_1|3]), (466,467,[2_1|3]), (467,468,[3_1|3]), (468,469,[1_1|3]), (468,386,[0_1|3]), (468,390,[0_1|3]), (468,395,[1_1|3]), (468,400,[2_1|3]), (469,93,[0_1|3]), (469,113,[0_1|3]), (469,123,[0_1|3]), (469,133,[0_1|3]), (469,137,[0_1|3]), (469,152,[0_1|3]), (469,157,[0_1|3]), (469,182,[0_1|3]), (469,187,[0_1|3]), (469,191,[0_1|3]), (469,195,[0_1|3]), (469,199,[0_1|3]), (469,213,[0_1|3]), (469,218,[0_1|3]), (469,237,[0_1|3]), (469,262,[0_1|3]), (469,281,[0_1|3]), (469,331,[0_1|3]), (469,143,[0_1|3]), (469,396,[0_1|3]), (470,471,[2_1|3]), (471,472,[3_1|3]), (472,473,[3_1|3]), (473,474,[1_1|3]), (473,386,[0_1|3]), (473,390,[0_1|3]), (473,395,[1_1|3]), (473,400,[2_1|3]), (474,93,[0_1|3]), (474,113,[0_1|3]), (474,123,[0_1|3]), (474,133,[0_1|3]), (474,137,[0_1|3]), (474,152,[0_1|3]), (474,157,[0_1|3]), (474,182,[0_1|3]), (474,187,[0_1|3]), (474,191,[0_1|3]), (474,195,[0_1|3]), (474,199,[0_1|3]), (474,213,[0_1|3]), (474,218,[0_1|3]), (474,237,[0_1|3]), (474,262,[0_1|3]), (474,281,[0_1|3]), (474,331,[0_1|3]), (474,143,[0_1|3]), (474,396,[0_1|3]), (475,476,[3_1|3]), (476,477,[1_1|3]), (477,478,[4_1|3]), (478,479,[1_1|3]), (479,142,[5_1|3]), (479,172,[5_1|3]), (479,177,[5_1|3]), (479,272,[5_1|3]), (480,481,[3_1|3]), (481,482,[2_1|3]), (482,483,[3_1|3]), (483,484,[1_1|3]), (484,142,[1_1|3]), (484,172,[1_1|3]), (484,177,[1_1|3]), (484,272,[1_1|3]), (485,486,[2_1|4]), (486,487,[3_1|4]), (487,488,[4_1|4]), (488,346,[0_1|4]), (489,490,[4_1|3]), (490,491,[0_1|3]), (491,492,[2_1|3]), (492,153,[3_1|3]), (493,494,[0_1|3]), (494,495,[2_1|3]), (495,496,[2_1|3]), (496,497,[4_1|3]), (497,153,[1_1|3]), (498,499,[2_1|4]), (499,500,[3_1|4]), (500,501,[4_1|4]), (501,331,[0_1|4]), (502,503,[2_1|4]), (503,504,[3_1|4]), (504,505,[4_1|4]), (504,405,[0_1|3]), (505,142,[0_1|4]), (505,172,[0_1|4]), (505,177,[0_1|4]), (505,272,[0_1|4]), (505,124,[0_1|4]), (505,153,[0_1|4]), (506,507,[2_1|4]), (507,508,[3_1|4]), (508,509,[4_1|4]), (509,124,[0_1|4]), (509,153,[0_1|4]), (510,511,[2_1|4]), (511,512,[3_1|4]), (512,513,[1_1|4]), (513,124,[0_1|4]), (513,153,[0_1|4]), (514,515,[2_1|4]), (515,516,[3_1|4]), (516,517,[1_1|4]), (517,331,[0_1|4]), (518,519,[1_1|3]), (519,520,[2_1|3]), (520,521,[1_1|3]), (521,522,[5_1|3]), (522,180,[0_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)