/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 76 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 96 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)))) -> 0(2(1(3(3(0(x1)))))) 0(1(0(4(x1)))) -> 0(1(3(0(4(x1))))) 0(1(0(5(x1)))) -> 0(1(3(5(0(x1))))) 0(1(5(0(x1)))) -> 0(1(3(5(0(x1))))) 0(3(1(0(x1)))) -> 0(1(3(5(0(x1))))) 3(1(0(2(x1)))) -> 1(3(5(0(2(x1))))) 3(1(0(2(x1)))) -> 3(2(1(3(0(x1))))) 3(1(0(5(x1)))) -> 1(3(5(3(0(x1))))) 3(1(2(0(x1)))) -> 2(1(3(3(0(x1))))) 3(1(2(0(x1)))) -> 3(0(2(1(4(x1))))) 3(1(2(0(x1)))) -> 3(0(3(2(1(x1))))) 3(1(2(0(x1)))) -> 3(3(2(1(0(x1))))) 3(1(2(0(x1)))) -> 3(5(2(1(0(x1))))) 3(1(2(2(x1)))) -> 3(5(2(2(1(x1))))) 3(4(2(0(x1)))) -> 3(3(2(4(0(x1))))) 4(0(1(0(x1)))) -> 1(3(0(4(0(x1))))) 5(1(0(5(x1)))) -> 1(3(3(5(5(0(x1)))))) 5(2(5(0(x1)))) -> 5(2(3(5(0(x1))))) 5(3(1(0(x1)))) -> 0(1(3(5(5(x1))))) 0(0(4(1(0(x1))))) -> 0(4(1(3(0(0(x1)))))) 0(1(2(0(5(x1))))) -> 0(3(0(5(1(2(x1)))))) 0(1(3(1(2(x1))))) -> 3(0(2(2(1(1(x1)))))) 0(1(5(0(4(x1))))) -> 0(4(1(3(5(0(x1)))))) 0(1(5(3(5(x1))))) -> 0(1(3(5(3(5(x1)))))) 0(2(0(3(4(x1))))) -> 0(4(5(2(3(0(x1)))))) 0(2(3(1(5(x1))))) -> 0(1(3(5(5(2(x1)))))) 0(2(4(1(2(x1))))) -> 0(2(1(1(4(2(x1)))))) 0(2(5(0(2(x1))))) -> 0(0(3(5(2(2(x1)))))) 0(2(5(5(0(x1))))) -> 0(0(2(5(1(5(x1)))))) 0(3(1(5(0(x1))))) -> 1(3(0(5(3(0(x1)))))) 0(5(3(2(0(x1))))) -> 0(0(2(1(3(5(x1)))))) 3(1(0(5(2(x1))))) -> 2(4(1(3(5(0(x1)))))) 3(1(3(0(2(x1))))) -> 2(1(3(3(3(0(x1)))))) 3(1(3(2(0(x1))))) -> 3(1(3(0(5(2(x1)))))) 3(1(4(1(2(x1))))) -> 1(4(3(2(2(1(x1)))))) 3(1(4(2(0(x1))))) -> 2(1(3(3(0(4(x1)))))) 3(1(5(0(2(x1))))) -> 2(5(1(3(0(5(x1)))))) 3(3(1(0(0(x1))))) -> 5(1(3(3(0(0(x1)))))) 3(4(0(2(0(x1))))) -> 3(0(0(2(1(4(x1)))))) 3(4(2(3(2(x1))))) -> 3(3(2(5(4(2(x1)))))) 4(3(1(0(2(x1))))) -> 4(2(1(3(0(1(x1)))))) 4(3(1(2(0(x1))))) -> 1(3(0(1(4(2(x1)))))) 4(5(5(1(2(x1))))) -> 5(4(5(2(1(1(x1)))))) 4(5(5(5(0(x1))))) -> 5(5(1(5(0(4(x1)))))) 5(1(0(1(2(x1))))) -> 2(1(1(3(5(0(x1)))))) 5(1(1(0(4(x1))))) -> 5(1(1(4(3(0(x1)))))) 5(1(5(2(0(x1))))) -> 2(1(3(5(0(5(x1)))))) 5(4(1(0(5(x1))))) -> 4(1(3(5(5(0(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(2(x_1)) -> 2(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(2(x1)))) -> 0(2(1(3(3(0(x1)))))) 0(1(0(4(x1)))) -> 0(1(3(0(4(x1))))) 0(1(0(5(x1)))) -> 0(1(3(5(0(x1))))) 0(1(5(0(x1)))) -> 0(1(3(5(0(x1))))) 0(3(1(0(x1)))) -> 0(1(3(5(0(x1))))) 3(1(0(2(x1)))) -> 1(3(5(0(2(x1))))) 3(1(0(2(x1)))) -> 3(2(1(3(0(x1))))) 3(1(0(5(x1)))) -> 1(3(5(3(0(x1))))) 3(1(2(0(x1)))) -> 2(1(3(3(0(x1))))) 3(1(2(0(x1)))) -> 3(0(2(1(4(x1))))) 3(1(2(0(x1)))) -> 3(0(3(2(1(x1))))) 3(1(2(0(x1)))) -> 3(3(2(1(0(x1))))) 3(1(2(0(x1)))) -> 3(5(2(1(0(x1))))) 3(1(2(2(x1)))) -> 3(5(2(2(1(x1))))) 3(4(2(0(x1)))) -> 3(3(2(4(0(x1))))) 4(0(1(0(x1)))) -> 1(3(0(4(0(x1))))) 5(1(0(5(x1)))) -> 1(3(3(5(5(0(x1)))))) 5(2(5(0(x1)))) -> 5(2(3(5(0(x1))))) 5(3(1(0(x1)))) -> 0(1(3(5(5(x1))))) 0(0(4(1(0(x1))))) -> 0(4(1(3(0(0(x1)))))) 0(1(2(0(5(x1))))) -> 0(3(0(5(1(2(x1)))))) 0(1(3(1(2(x1))))) -> 3(0(2(2(1(1(x1)))))) 0(1(5(0(4(x1))))) -> 0(4(1(3(5(0(x1)))))) 0(1(5(3(5(x1))))) -> 0(1(3(5(3(5(x1)))))) 0(2(0(3(4(x1))))) -> 0(4(5(2(3(0(x1)))))) 0(2(3(1(5(x1))))) -> 0(1(3(5(5(2(x1)))))) 0(2(4(1(2(x1))))) -> 0(2(1(1(4(2(x1)))))) 0(2(5(0(2(x1))))) -> 0(0(3(5(2(2(x1)))))) 0(2(5(5(0(x1))))) -> 0(0(2(5(1(5(x1)))))) 0(3(1(5(0(x1))))) -> 1(3(0(5(3(0(x1)))))) 0(5(3(2(0(x1))))) -> 0(0(2(1(3(5(x1)))))) 3(1(0(5(2(x1))))) -> 2(4(1(3(5(0(x1)))))) 3(1(3(0(2(x1))))) -> 2(1(3(3(3(0(x1)))))) 3(1(3(2(0(x1))))) -> 3(1(3(0(5(2(x1)))))) 3(1(4(1(2(x1))))) -> 1(4(3(2(2(1(x1)))))) 3(1(4(2(0(x1))))) -> 2(1(3(3(0(4(x1)))))) 3(1(5(0(2(x1))))) -> 2(5(1(3(0(5(x1)))))) 3(3(1(0(0(x1))))) -> 5(1(3(3(0(0(x1)))))) 3(4(0(2(0(x1))))) -> 3(0(0(2(1(4(x1)))))) 3(4(2(3(2(x1))))) -> 3(3(2(5(4(2(x1)))))) 4(3(1(0(2(x1))))) -> 4(2(1(3(0(1(x1)))))) 4(3(1(2(0(x1))))) -> 1(3(0(1(4(2(x1)))))) 4(5(5(1(2(x1))))) -> 5(4(5(2(1(1(x1)))))) 4(5(5(5(0(x1))))) -> 5(5(1(5(0(4(x1)))))) 5(1(0(1(2(x1))))) -> 2(1(1(3(5(0(x1)))))) 5(1(1(0(4(x1))))) -> 5(1(1(4(3(0(x1)))))) 5(1(5(2(0(x1))))) -> 2(1(3(5(0(5(x1)))))) 5(4(1(0(5(x1))))) -> 4(1(3(5(5(0(x1)))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(2(x_1)) -> 2(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(2(x1)))) -> 0(2(1(3(3(0(x1)))))) 0(1(0(4(x1)))) -> 0(1(3(0(4(x1))))) 0(1(0(5(x1)))) -> 0(1(3(5(0(x1))))) 0(1(5(0(x1)))) -> 0(1(3(5(0(x1))))) 0(3(1(0(x1)))) -> 0(1(3(5(0(x1))))) 3(1(0(2(x1)))) -> 1(3(5(0(2(x1))))) 3(1(0(2(x1)))) -> 3(2(1(3(0(x1))))) 3(1(0(5(x1)))) -> 1(3(5(3(0(x1))))) 3(1(2(0(x1)))) -> 2(1(3(3(0(x1))))) 3(1(2(0(x1)))) -> 3(0(2(1(4(x1))))) 3(1(2(0(x1)))) -> 3(0(3(2(1(x1))))) 3(1(2(0(x1)))) -> 3(3(2(1(0(x1))))) 3(1(2(0(x1)))) -> 3(5(2(1(0(x1))))) 3(1(2(2(x1)))) -> 3(5(2(2(1(x1))))) 3(4(2(0(x1)))) -> 3(3(2(4(0(x1))))) 4(0(1(0(x1)))) -> 1(3(0(4(0(x1))))) 5(1(0(5(x1)))) -> 1(3(3(5(5(0(x1)))))) 5(2(5(0(x1)))) -> 5(2(3(5(0(x1))))) 5(3(1(0(x1)))) -> 0(1(3(5(5(x1))))) 0(0(4(1(0(x1))))) -> 0(4(1(3(0(0(x1)))))) 0(1(2(0(5(x1))))) -> 0(3(0(5(1(2(x1)))))) 0(1(3(1(2(x1))))) -> 3(0(2(2(1(1(x1)))))) 0(1(5(0(4(x1))))) -> 0(4(1(3(5(0(x1)))))) 0(1(5(3(5(x1))))) -> 0(1(3(5(3(5(x1)))))) 0(2(0(3(4(x1))))) -> 0(4(5(2(3(0(x1)))))) 0(2(3(1(5(x1))))) -> 0(1(3(5(5(2(x1)))))) 0(2(4(1(2(x1))))) -> 0(2(1(1(4(2(x1)))))) 0(2(5(0(2(x1))))) -> 0(0(3(5(2(2(x1)))))) 0(2(5(5(0(x1))))) -> 0(0(2(5(1(5(x1)))))) 0(3(1(5(0(x1))))) -> 1(3(0(5(3(0(x1)))))) 0(5(3(2(0(x1))))) -> 0(0(2(1(3(5(x1)))))) 3(1(0(5(2(x1))))) -> 2(4(1(3(5(0(x1)))))) 3(1(3(0(2(x1))))) -> 2(1(3(3(3(0(x1)))))) 3(1(3(2(0(x1))))) -> 3(1(3(0(5(2(x1)))))) 3(1(4(1(2(x1))))) -> 1(4(3(2(2(1(x1)))))) 3(1(4(2(0(x1))))) -> 2(1(3(3(0(4(x1)))))) 3(1(5(0(2(x1))))) -> 2(5(1(3(0(5(x1)))))) 3(3(1(0(0(x1))))) -> 5(1(3(3(0(0(x1)))))) 3(4(0(2(0(x1))))) -> 3(0(0(2(1(4(x1)))))) 3(4(2(3(2(x1))))) -> 3(3(2(5(4(2(x1)))))) 4(3(1(0(2(x1))))) -> 4(2(1(3(0(1(x1)))))) 4(3(1(2(0(x1))))) -> 1(3(0(1(4(2(x1)))))) 4(5(5(1(2(x1))))) -> 5(4(5(2(1(1(x1)))))) 4(5(5(5(0(x1))))) -> 5(5(1(5(0(4(x1)))))) 5(1(0(1(2(x1))))) -> 2(1(1(3(5(0(x1)))))) 5(1(1(0(4(x1))))) -> 5(1(1(4(3(0(x1)))))) 5(1(5(2(0(x1))))) -> 2(1(3(5(0(5(x1)))))) 5(4(1(0(5(x1))))) -> 4(1(3(5(5(0(x1)))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(2(x_1)) -> 2(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(2(x1)))) -> 0(2(1(3(3(0(x1)))))) 0(1(0(4(x1)))) -> 0(1(3(0(4(x1))))) 0(1(0(5(x1)))) -> 0(1(3(5(0(x1))))) 0(1(5(0(x1)))) -> 0(1(3(5(0(x1))))) 0(3(1(0(x1)))) -> 0(1(3(5(0(x1))))) 3(1(0(2(x1)))) -> 1(3(5(0(2(x1))))) 3(1(0(2(x1)))) -> 3(2(1(3(0(x1))))) 3(1(0(5(x1)))) -> 1(3(5(3(0(x1))))) 3(1(2(0(x1)))) -> 2(1(3(3(0(x1))))) 3(1(2(0(x1)))) -> 3(0(2(1(4(x1))))) 3(1(2(0(x1)))) -> 3(0(3(2(1(x1))))) 3(1(2(0(x1)))) -> 3(3(2(1(0(x1))))) 3(1(2(0(x1)))) -> 3(5(2(1(0(x1))))) 3(1(2(2(x1)))) -> 3(5(2(2(1(x1))))) 3(4(2(0(x1)))) -> 3(3(2(4(0(x1))))) 4(0(1(0(x1)))) -> 1(3(0(4(0(x1))))) 5(1(0(5(x1)))) -> 1(3(3(5(5(0(x1)))))) 5(2(5(0(x1)))) -> 5(2(3(5(0(x1))))) 5(3(1(0(x1)))) -> 0(1(3(5(5(x1))))) 0(0(4(1(0(x1))))) -> 0(4(1(3(0(0(x1)))))) 0(1(2(0(5(x1))))) -> 0(3(0(5(1(2(x1)))))) 0(1(3(1(2(x1))))) -> 3(0(2(2(1(1(x1)))))) 0(1(5(0(4(x1))))) -> 0(4(1(3(5(0(x1)))))) 0(1(5(3(5(x1))))) -> 0(1(3(5(3(5(x1)))))) 0(2(0(3(4(x1))))) -> 0(4(5(2(3(0(x1)))))) 0(2(3(1(5(x1))))) -> 0(1(3(5(5(2(x1)))))) 0(2(4(1(2(x1))))) -> 0(2(1(1(4(2(x1)))))) 0(2(5(0(2(x1))))) -> 0(0(3(5(2(2(x1)))))) 0(2(5(5(0(x1))))) -> 0(0(2(5(1(5(x1)))))) 0(3(1(5(0(x1))))) -> 1(3(0(5(3(0(x1)))))) 0(5(3(2(0(x1))))) -> 0(0(2(1(3(5(x1)))))) 3(1(0(5(2(x1))))) -> 2(4(1(3(5(0(x1)))))) 3(1(3(0(2(x1))))) -> 2(1(3(3(3(0(x1)))))) 3(1(3(2(0(x1))))) -> 3(1(3(0(5(2(x1)))))) 3(1(4(1(2(x1))))) -> 1(4(3(2(2(1(x1)))))) 3(1(4(2(0(x1))))) -> 2(1(3(3(0(4(x1)))))) 3(1(5(0(2(x1))))) -> 2(5(1(3(0(5(x1)))))) 3(3(1(0(0(x1))))) -> 5(1(3(3(0(0(x1)))))) 3(4(0(2(0(x1))))) -> 3(0(0(2(1(4(x1)))))) 3(4(2(3(2(x1))))) -> 3(3(2(5(4(2(x1)))))) 4(3(1(0(2(x1))))) -> 4(2(1(3(0(1(x1)))))) 4(3(1(2(0(x1))))) -> 1(3(0(1(4(2(x1)))))) 4(5(5(1(2(x1))))) -> 5(4(5(2(1(1(x1)))))) 4(5(5(5(0(x1))))) -> 5(5(1(5(0(4(x1)))))) 5(1(0(1(2(x1))))) -> 2(1(1(3(5(0(x1)))))) 5(1(1(0(4(x1))))) -> 5(1(1(4(3(0(x1)))))) 5(1(5(2(0(x1))))) -> 2(1(3(5(0(5(x1)))))) 5(4(1(0(5(x1))))) -> 4(1(3(5(5(0(x1)))))) encArg(1(x_1)) -> 1(encArg(x_1)) encArg(2(x_1)) -> 2(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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 3. The certificate found is represented by the following graph. "[62, 63, 64, 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] {(62,63,[0_1|0, 3_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]), (62,64,[3_1|1]), (62,68,[1_1|1, 2_1|1, 0_1|1, 3_1|1, 4_1|1, 5_1|1]), (62,69,[0_1|2]), (62,74,[0_1|2]), (62,79,[0_1|2]), (62,83,[0_1|2]), (62,87,[0_1|2]), (62,92,[0_1|2]), (62,97,[0_1|2]), (62,102,[3_1|2]), (62,107,[1_1|2]), (62,112,[0_1|2]), (62,117,[0_1|2]), (62,122,[0_1|2]), (62,127,[0_1|2]), (62,132,[0_1|2]), (62,137,[0_1|2]), (62,142,[1_1|2]), (62,146,[3_1|2]), (62,150,[1_1|2]), (62,154,[2_1|2]), (62,159,[2_1|2]), (62,163,[3_1|2]), (62,167,[3_1|2]), (62,171,[3_1|2]), (62,175,[3_1|2]), (62,179,[3_1|2]), (62,183,[2_1|2]), (62,188,[3_1|2]), (62,193,[1_1|2]), (62,198,[2_1|2]), (62,203,[2_1|2]), (62,208,[3_1|2]), (62,212,[3_1|2]), (62,217,[3_1|2]), (62,222,[5_1|2]), (62,227,[1_1|2]), 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(68,217,[3_1|2]), (68,222,[5_1|2]), (68,227,[1_1|2]), (68,231,[4_1|2]), (68,236,[1_1|2]), (68,241,[5_1|2]), (68,246,[5_1|2]), (68,251,[1_1|2]), (68,256,[2_1|2]), (68,261,[5_1|2]), (68,266,[2_1|2]), (68,271,[5_1|2]), (68,275,[0_1|2]), (68,279,[4_1|2]), (68,284,[0_1|2]), (69,70,[2_1|2]), (70,71,[1_1|2]), (71,72,[3_1|2]), (72,73,[3_1|2]), (73,68,[0_1|2]), (73,154,[0_1|2]), (73,159,[0_1|2]), (73,183,[0_1|2]), (73,198,[0_1|2]), (73,203,[0_1|2]), (73,256,[0_1|2]), (73,266,[0_1|2]), (73,69,[0_1|2]), (73,74,[0_1|2]), (73,79,[0_1|2]), (73,83,[0_1|2]), (73,87,[0_1|2]), (73,92,[0_1|2]), (73,284,[0_1|2]), (73,97,[0_1|2]), (73,102,[3_1|2]), (73,107,[1_1|2]), (73,112,[0_1|2]), (73,117,[0_1|2]), (73,122,[0_1|2]), (73,127,[0_1|2]), (73,132,[0_1|2]), (73,137,[0_1|2]), (74,75,[4_1|2]), (75,76,[1_1|2]), (76,77,[3_1|2]), (77,78,[0_1|2]), (77,69,[0_1|2]), (77,74,[0_1|2]), (78,68,[0_1|2]), (78,69,[0_1|2]), (78,74,[0_1|2]), (78,79,[0_1|2]), (78,83,[0_1|2]), (78,87,[0_1|2]), (78,92,[0_1|2]), (78,97,[0_1|2]), 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(120,121,[5_1|2]), (120,271,[5_1|2]), (121,68,[2_1|2]), (121,222,[2_1|2]), (121,241,[2_1|2]), (121,246,[2_1|2]), (121,261,[2_1|2]), (121,271,[2_1|2]), (122,123,[2_1|2]), (123,124,[1_1|2]), (124,125,[1_1|2]), (125,126,[4_1|2]), (126,68,[2_1|2]), (126,154,[2_1|2]), (126,159,[2_1|2]), (126,183,[2_1|2]), (126,198,[2_1|2]), (126,203,[2_1|2]), (126,256,[2_1|2]), (126,266,[2_1|2]), (127,128,[0_1|2]), (128,129,[3_1|2]), (129,130,[5_1|2]), (130,131,[2_1|2]), (131,68,[2_1|2]), (131,154,[2_1|2]), (131,159,[2_1|2]), (131,183,[2_1|2]), (131,198,[2_1|2]), (131,203,[2_1|2]), (131,256,[2_1|2]), (131,266,[2_1|2]), (131,70,[2_1|2]), (131,123,[2_1|2]), (132,133,[0_1|2]), (133,134,[2_1|2]), (134,135,[5_1|2]), (134,266,[2_1|2]), (135,136,[1_1|2]), (136,68,[5_1|2]), (136,69,[5_1|2]), (136,74,[5_1|2]), (136,79,[5_1|2]), (136,83,[5_1|2]), (136,87,[5_1|2]), (136,92,[5_1|2]), (136,97,[5_1|2]), (136,112,[5_1|2]), (136,117,[5_1|2]), (136,122,[5_1|2]), (136,127,[5_1|2]), (136,132,[5_1|2]), (136,137,[5_1|2]), 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(187,203,[0_1|2]), (187,256,[0_1|2]), (187,266,[0_1|2]), (187,70,[0_1|2]), (187,123,[0_1|2]), (187,104,[0_1|2]), (187,165,[0_1|2]), (187,69,[0_1|2]), (187,74,[0_1|2]), (187,79,[0_1|2]), (187,83,[0_1|2]), (187,87,[0_1|2]), (187,92,[0_1|2]), (187,284,[0_1|2]), (187,97,[0_1|2]), (187,102,[3_1|2]), (187,107,[1_1|2]), (187,112,[0_1|2]), (187,117,[0_1|2]), (187,122,[0_1|2]), (187,127,[0_1|2]), (187,132,[0_1|2]), (187,137,[0_1|2]), (188,189,[1_1|2]), (189,190,[3_1|2]), (190,191,[0_1|2]), (191,192,[5_1|2]), (191,271,[5_1|2]), (192,68,[2_1|2]), (192,69,[2_1|2]), (192,74,[2_1|2]), (192,79,[2_1|2]), (192,83,[2_1|2]), (192,87,[2_1|2]), (192,92,[2_1|2]), (192,97,[2_1|2]), (192,112,[2_1|2]), (192,117,[2_1|2]), (192,122,[2_1|2]), (192,127,[2_1|2]), (192,132,[2_1|2]), (192,137,[2_1|2]), (192,275,[2_1|2]), (192,284,[2_1|2]), (193,194,[4_1|2]), (194,195,[3_1|2]), (195,196,[2_1|2]), (196,197,[2_1|2]), (197,68,[1_1|2]), (197,154,[1_1|2]), (197,159,[1_1|2]), (197,183,[1_1|2]), (197,198,[1_1|2]), (197,203,[1_1|2]), (197,256,[1_1|2]), (197,266,[1_1|2]), (198,199,[1_1|2]), (199,200,[3_1|2]), (200,201,[3_1|2]), (201,202,[0_1|2]), (202,68,[4_1|2]), (202,69,[4_1|2]), (202,74,[4_1|2]), (202,79,[4_1|2]), (202,83,[4_1|2]), (202,87,[4_1|2]), (202,92,[4_1|2]), (202,97,[4_1|2]), (202,112,[4_1|2]), (202,117,[4_1|2]), (202,122,[4_1|2]), (202,127,[4_1|2]), (202,132,[4_1|2]), (202,137,[4_1|2]), (202,275,[4_1|2]), (202,227,[1_1|2]), (202,231,[4_1|2]), (202,236,[1_1|2]), (202,241,[5_1|2]), (202,246,[5_1|2]), (202,284,[4_1|2]), (203,204,[5_1|2]), (204,205,[1_1|2]), (205,206,[3_1|2]), (206,207,[0_1|2]), (206,137,[0_1|2]), (207,68,[5_1|2]), (207,154,[5_1|2]), (207,159,[5_1|2]), (207,183,[5_1|2]), (207,198,[5_1|2]), (207,203,[5_1|2]), (207,256,[5_1|2, 2_1|2]), (207,266,[5_1|2, 2_1|2]), (207,70,[5_1|2]), (207,123,[5_1|2]), (207,251,[1_1|2]), (207,261,[5_1|2]), (207,271,[5_1|2]), (207,275,[0_1|2]), (207,279,[4_1|2]), (208,209,[3_1|2]), (209,210,[2_1|2]), (210,211,[4_1|2]), (210,227,[1_1|2]), (211,68,[0_1|2]), (211,69,[0_1|2]), (211,74,[0_1|2]), (211,79,[0_1|2]), (211,83,[0_1|2]), (211,87,[0_1|2]), (211,92,[0_1|2]), (211,97,[0_1|2]), (211,112,[0_1|2]), (211,117,[0_1|2]), (211,122,[0_1|2]), (211,127,[0_1|2]), (211,132,[0_1|2]), (211,137,[0_1|2]), (211,275,[0_1|2]), (211,284,[0_1|2]), (211,102,[3_1|2]), (211,107,[1_1|2]), (211,292,[0_1|2]), (212,213,[3_1|2]), (213,214,[2_1|2]), (214,215,[5_1|2]), (215,216,[4_1|2]), (216,68,[2_1|2]), (216,154,[2_1|2]), (216,159,[2_1|2]), (216,183,[2_1|2]), (216,198,[2_1|2]), (216,203,[2_1|2]), (216,256,[2_1|2]), (216,266,[2_1|2]), (216,147,[2_1|2]), (217,218,[0_1|2]), (218,219,[0_1|2]), (219,220,[2_1|2]), (220,221,[1_1|2]), (221,68,[4_1|2]), (221,69,[4_1|2]), (221,74,[4_1|2]), (221,79,[4_1|2]), (221,83,[4_1|2]), (221,87,[4_1|2]), (221,92,[4_1|2]), (221,97,[4_1|2]), (221,112,[4_1|2]), (221,117,[4_1|2]), (221,122,[4_1|2]), (221,127,[4_1|2]), (221,132,[4_1|2]), (221,137,[4_1|2]), (221,275,[4_1|2]), (221,227,[1_1|2]), (221,231,[4_1|2]), (221,236,[1_1|2]), (221,241,[5_1|2]), (221,246,[5_1|2]), (221,284,[4_1|2]), (222,223,[1_1|2]), (223,224,[3_1|2]), (224,225,[3_1|2]), (225,226,[0_1|2]), (225,69,[0_1|2]), (225,74,[0_1|2]), (226,68,[0_1|2]), (226,69,[0_1|2]), (226,74,[0_1|2]), (226,79,[0_1|2]), (226,83,[0_1|2]), (226,87,[0_1|2]), (226,92,[0_1|2]), (226,97,[0_1|2]), (226,112,[0_1|2]), (226,117,[0_1|2]), (226,122,[0_1|2]), (226,127,[0_1|2]), (226,132,[0_1|2]), (226,137,[0_1|2]), (226,275,[0_1|2]), (226,128,[0_1|2]), (226,133,[0_1|2]), (226,138,[0_1|2]), (226,284,[0_1|2]), (226,102,[3_1|2]), (226,107,[1_1|2]), (226,292,[0_1|2]), (227,228,[3_1|2]), (228,229,[0_1|2]), (229,230,[4_1|2]), (229,227,[1_1|2]), (230,68,[0_1|2]), (230,69,[0_1|2]), (230,74,[0_1|2]), (230,79,[0_1|2]), (230,83,[0_1|2]), (230,87,[0_1|2]), (230,92,[0_1|2]), (230,97,[0_1|2]), (230,112,[0_1|2]), (230,117,[0_1|2]), (230,122,[0_1|2]), (230,127,[0_1|2]), (230,132,[0_1|2]), (230,137,[0_1|2]), (230,275,[0_1|2]), (230,284,[0_1|2]), (230,102,[3_1|2]), (230,107,[1_1|2]), (230,292,[0_1|2]), (231,232,[2_1|2]), (232,233,[1_1|2]), (233,234,[3_1|2]), (234,235,[0_1|2]), (234,79,[0_1|2]), (234,83,[0_1|2]), (234,87,[0_1|2]), (234,92,[0_1|2]), (234,284,[0_1|2]), (234,97,[0_1|2]), (234,102,[3_1|2]), (234,288,[0_1|3]), (235,68,[1_1|2]), (235,154,[1_1|2]), (235,159,[1_1|2]), (235,183,[1_1|2]), (235,198,[1_1|2]), (235,203,[1_1|2]), (235,256,[1_1|2]), (235,266,[1_1|2]), (235,70,[1_1|2]), (235,123,[1_1|2]), (236,237,[3_1|2]), (237,238,[0_1|2]), (238,239,[1_1|2]), (239,240,[4_1|2]), (240,68,[2_1|2]), (240,69,[2_1|2]), (240,74,[2_1|2]), (240,79,[2_1|2]), (240,83,[2_1|2]), (240,87,[2_1|2]), (240,92,[2_1|2]), (240,97,[2_1|2]), (240,112,[2_1|2]), (240,117,[2_1|2]), (240,122,[2_1|2]), (240,127,[2_1|2]), (240,132,[2_1|2]), (240,137,[2_1|2]), (240,275,[2_1|2]), (240,284,[2_1|2]), (241,242,[4_1|2]), (242,243,[5_1|2]), (243,244,[2_1|2]), (244,245,[1_1|2]), (245,68,[1_1|2]), (245,154,[1_1|2]), (245,159,[1_1|2]), (245,183,[1_1|2]), (245,198,[1_1|2]), (245,203,[1_1|2]), (245,256,[1_1|2]), (245,266,[1_1|2]), (246,247,[5_1|2]), (247,248,[1_1|2]), (248,249,[5_1|2]), (249,250,[0_1|2]), (250,68,[4_1|2]), (250,69,[4_1|2]), (250,74,[4_1|2]), (250,79,[4_1|2]), (250,83,[4_1|2]), (250,87,[4_1|2]), (250,92,[4_1|2]), (250,97,[4_1|2]), (250,112,[4_1|2]), (250,117,[4_1|2]), (250,122,[4_1|2]), (250,127,[4_1|2]), (250,132,[4_1|2]), (250,137,[4_1|2]), (250,275,[4_1|2]), (250,227,[1_1|2]), (250,231,[4_1|2]), (250,236,[1_1|2]), (250,241,[5_1|2]), (250,246,[5_1|2]), (250,284,[4_1|2]), (251,252,[3_1|2]), (252,253,[3_1|2]), (253,254,[5_1|2]), (254,255,[5_1|2]), (255,68,[0_1|2]), (255,222,[0_1|2]), (255,241,[0_1|2]), (255,246,[0_1|2]), (255,261,[0_1|2]), (255,271,[0_1|2]), (255,69,[0_1|2]), (255,74,[0_1|2]), (255,79,[0_1|2]), (255,83,[0_1|2]), (255,87,[0_1|2]), (255,92,[0_1|2]), (255,284,[0_1|2]), (255,97,[0_1|2]), (255,102,[3_1|2]), (255,107,[1_1|2]), (255,112,[0_1|2]), (255,117,[0_1|2]), (255,122,[0_1|2]), (255,127,[0_1|2]), (255,132,[0_1|2]), (255,137,[0_1|2]), (256,257,[1_1|2]), (257,258,[1_1|2]), (258,259,[3_1|2]), (259,260,[5_1|2]), (260,68,[0_1|2]), (260,154,[0_1|2]), (260,159,[0_1|2]), (260,183,[0_1|2]), (260,198,[0_1|2]), (260,203,[0_1|2]), (260,256,[0_1|2]), (260,266,[0_1|2]), (260,69,[0_1|2]), (260,74,[0_1|2]), (260,79,[0_1|2]), (260,83,[0_1|2]), (260,87,[0_1|2]), (260,92,[0_1|2]), (260,284,[0_1|2]), (260,97,[0_1|2]), (260,102,[3_1|2]), (260,107,[1_1|2]), (260,112,[0_1|2]), (260,117,[0_1|2]), (260,122,[0_1|2]), (260,127,[0_1|2]), (260,132,[0_1|2]), (260,137,[0_1|2]), (261,262,[1_1|2]), (262,263,[1_1|2]), (263,264,[4_1|2]), (264,265,[3_1|2]), (265,68,[0_1|2]), (265,231,[0_1|2]), (265,279,[0_1|2]), (265,75,[0_1|2]), (265,88,[0_1|2]), (265,113,[0_1|2]), (265,69,[0_1|2]), (265,74,[0_1|2]), (265,79,[0_1|2]), (265,83,[0_1|2]), (265,87,[0_1|2]), (265,92,[0_1|2]), (265,284,[0_1|2]), (265,97,[0_1|2]), (265,102,[3_1|2]), (265,107,[1_1|2]), (265,112,[0_1|2]), (265,117,[0_1|2]), (265,122,[0_1|2]), (265,127,[0_1|2]), (265,132,[0_1|2]), (265,137,[0_1|2]), (266,267,[1_1|2]), (267,268,[3_1|2]), (268,269,[5_1|2]), (269,270,[0_1|2]), (269,137,[0_1|2]), (270,68,[5_1|2]), (270,69,[5_1|2]), (270,74,[5_1|2]), (270,79,[5_1|2]), (270,83,[5_1|2]), (270,87,[5_1|2]), (270,92,[5_1|2]), (270,97,[5_1|2]), (270,112,[5_1|2]), (270,117,[5_1|2]), (270,122,[5_1|2]), (270,127,[5_1|2]), (270,132,[5_1|2]), (270,137,[5_1|2]), (270,275,[5_1|2, 0_1|2]), (270,251,[1_1|2]), (270,256,[2_1|2]), (270,261,[5_1|2]), (270,266,[2_1|2]), (270,271,[5_1|2]), (270,279,[4_1|2]), (270,284,[5_1|2]), (271,272,[2_1|2]), (272,273,[3_1|2]), (273,274,[5_1|2]), (274,68,[0_1|2]), (274,69,[0_1|2]), (274,74,[0_1|2]), (274,79,[0_1|2]), (274,83,[0_1|2]), (274,87,[0_1|2]), (274,92,[0_1|2]), (274,97,[0_1|2]), (274,112,[0_1|2]), (274,117,[0_1|2]), (274,122,[0_1|2]), (274,127,[0_1|2]), (274,132,[0_1|2]), (274,137,[0_1|2]), (274,275,[0_1|2]), (274,284,[0_1|2]), (274,102,[3_1|2]), (274,107,[1_1|2]), (274,292,[0_1|2]), (275,276,[1_1|2]), (276,277,[3_1|2]), (277,278,[5_1|2]), (278,68,[5_1|2]), (278,69,[5_1|2]), (278,74,[5_1|2]), (278,79,[5_1|2]), (278,83,[5_1|2]), (278,87,[5_1|2]), (278,92,[5_1|2]), (278,97,[5_1|2]), (278,112,[5_1|2]), (278,117,[5_1|2]), (278,122,[5_1|2]), (278,127,[5_1|2]), (278,132,[5_1|2]), (278,137,[5_1|2]), (278,275,[5_1|2, 0_1|2]), (278,251,[1_1|2]), (278,256,[2_1|2]), (278,261,[5_1|2]), (278,266,[2_1|2]), (278,271,[5_1|2]), (278,279,[4_1|2]), (278,284,[5_1|2]), (279,280,[1_1|2]), (280,281,[3_1|2]), (281,282,[5_1|2]), (282,283,[5_1|2]), (283,68,[0_1|2]), (283,222,[0_1|2]), (283,241,[0_1|2]), (283,246,[0_1|2]), (283,261,[0_1|2]), (283,271,[0_1|2]), (283,69,[0_1|2]), (283,74,[0_1|2]), (283,79,[0_1|2]), (283,83,[0_1|2]), (283,87,[0_1|2]), (283,92,[0_1|2]), (283,284,[0_1|2]), (283,97,[0_1|2]), (283,102,[3_1|2]), (283,107,[1_1|2]), (283,112,[0_1|2]), (283,117,[0_1|2]), (283,122,[0_1|2]), (283,127,[0_1|2]), (283,132,[0_1|2]), (283,137,[0_1|2]), (284,285,[1_1|2]), (285,286,[3_1|2]), (286,287,[5_1|2]), (287,69,[0_1|2]), (287,74,[0_1|2]), (287,79,[0_1|2]), (287,83,[0_1|2]), (287,87,[0_1|2]), (287,92,[0_1|2]), (287,97,[0_1|2]), (287,112,[0_1|2]), (287,117,[0_1|2]), (287,122,[0_1|2]), (287,127,[0_1|2]), (287,132,[0_1|2]), (287,137,[0_1|2]), (287,275,[0_1|2]), (287,284,[0_1|2]), (288,289,[1_1|3]), (289,290,[3_1|3]), (290,291,[0_1|3]), (291,75,[4_1|3]), (291,88,[4_1|3]), (291,113,[4_1|3]), (292,293,[4_1|2]), (293,294,[1_1|2]), (294,295,[3_1|2]), (295,296,[0_1|2]), (296,284,[0_1|2]), (297,298,[2_1|2]), (298,299,[3_1|2]), (299,300,[5_1|2]), (300,284,[0_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)