/export/starexec/sandbox2/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 81 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 83 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(0(1(1(x1))))) 0(1(2(2(x1)))) -> 0(2(2(1(0(x1))))) 0(1(2(2(x1)))) -> 1(0(2(2(0(x1))))) 0(1(2(3(x1)))) -> 0(2(0(1(3(x1))))) 0(1(2(3(x1)))) -> 0(2(3(3(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(0(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(2(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(2(1(1(x1)))))) 0(3(2(2(x1)))) -> 3(4(0(2(2(x1))))) 0(3(2(2(x1)))) -> 0(2(2(2(2(3(x1)))))) 0(4(1(2(x1)))) -> 0(2(2(1(4(x1))))) 0(4(1(2(x1)))) -> 4(0(2(0(1(x1))))) 0(5(0(1(x1)))) -> 0(2(0(2(5(1(x1)))))) 0(5(0(5(x1)))) -> 0(2(0(5(5(x1))))) 0(5(2(1(x1)))) -> 0(2(2(5(1(x1))))) 0(5(2(5(x1)))) -> 0(2(2(5(5(x1))))) 0(5(4(2(x1)))) -> 4(0(2(2(0(5(x1)))))) 2(1(0(3(x1)))) -> 4(0(2(2(3(1(x1)))))) 2(1(0(4(x1)))) -> 1(4(0(2(2(2(x1)))))) 2(5(4(2(x1)))) -> 4(0(2(2(5(x1))))) 0(0(1(0(4(x1))))) -> 0(0(2(0(1(4(x1)))))) 0(0(5(4(2(x1))))) -> 0(4(0(0(2(5(x1)))))) 0(1(0(1(2(x1))))) -> 0(2(0(1(4(1(x1)))))) 0(1(2(0(3(x1))))) -> 0(2(0(4(1(3(x1)))))) 0(1(2(2(2(x1))))) -> 0(2(2(2(1(2(x1)))))) 0(1(2(3(2(x1))))) -> 1(3(4(0(2(2(x1)))))) 0(1(3(2(3(x1))))) -> 0(0(2(3(3(1(x1)))))) 0(1(3(4(2(x1))))) -> 0(2(3(4(1(1(x1)))))) 0(2(1(0(1(x1))))) -> 0(0(2(0(1(1(x1)))))) 0(2(1(2(2(x1))))) -> 0(2(0(2(2(1(x1)))))) 0(2(3(0(5(x1))))) -> 0(2(0(0(5(3(x1)))))) 0(3(0(1(3(x1))))) -> 0(0(4(3(1(3(x1)))))) 0(3(0(4(1(x1))))) -> 0(0(1(4(4(3(x1)))))) 0(3(2(0(4(x1))))) -> 4(0(0(2(3(4(x1)))))) 0(4(5(2(3(x1))))) -> 0(2(2(3(4(5(x1)))))) 0(5(0(0(3(x1))))) -> 0(2(0(3(0(5(x1)))))) 0(5(0(1(2(x1))))) -> 0(0(2(0(1(5(x1)))))) 0(5(1(4(2(x1))))) -> 0(2(0(1(4(5(x1)))))) 0(5(2(5(1(x1))))) -> 0(2(0(5(5(1(x1)))))) 2(1(0(0(4(x1))))) -> 1(4(4(0(0(2(x1)))))) 2(5(0(0(3(x1))))) -> 0(2(0(0(5(3(x1)))))) 2(5(3(0(1(x1))))) -> 5(0(2(2(3(1(x1)))))) 5(0(1(2(2(x1))))) -> 5(1(0(2(0(2(x1)))))) 5(2(0(1(2(x1))))) -> 1(5(4(0(2(2(x1)))))) 5(2(1(0(1(x1))))) -> 0(2(3(1(5(1(x1)))))) 5(2(3(0(1(x1))))) -> 1(5(0(2(2(3(x1)))))) 5(3(0(4(1(x1))))) -> 4(5(0(2(3(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(1(x_1)) -> 1(encArg(x_1)) encArg(3(x_1)) -> 3(encArg(x_1)) encArg(4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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(0(1(1(x1))))) 0(1(2(2(x1)))) -> 0(2(2(1(0(x1))))) 0(1(2(2(x1)))) -> 1(0(2(2(0(x1))))) 0(1(2(3(x1)))) -> 0(2(0(1(3(x1))))) 0(1(2(3(x1)))) -> 0(2(3(3(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(0(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(2(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(2(1(1(x1)))))) 0(3(2(2(x1)))) -> 3(4(0(2(2(x1))))) 0(3(2(2(x1)))) -> 0(2(2(2(2(3(x1)))))) 0(4(1(2(x1)))) -> 0(2(2(1(4(x1))))) 0(4(1(2(x1)))) -> 4(0(2(0(1(x1))))) 0(5(0(1(x1)))) -> 0(2(0(2(5(1(x1)))))) 0(5(0(5(x1)))) -> 0(2(0(5(5(x1))))) 0(5(2(1(x1)))) -> 0(2(2(5(1(x1))))) 0(5(2(5(x1)))) -> 0(2(2(5(5(x1))))) 0(5(4(2(x1)))) -> 4(0(2(2(0(5(x1)))))) 2(1(0(3(x1)))) -> 4(0(2(2(3(1(x1)))))) 2(1(0(4(x1)))) -> 1(4(0(2(2(2(x1)))))) 2(5(4(2(x1)))) -> 4(0(2(2(5(x1))))) 0(0(1(0(4(x1))))) -> 0(0(2(0(1(4(x1)))))) 0(0(5(4(2(x1))))) -> 0(4(0(0(2(5(x1)))))) 0(1(0(1(2(x1))))) -> 0(2(0(1(4(1(x1)))))) 0(1(2(0(3(x1))))) -> 0(2(0(4(1(3(x1)))))) 0(1(2(2(2(x1))))) -> 0(2(2(2(1(2(x1)))))) 0(1(2(3(2(x1))))) -> 1(3(4(0(2(2(x1)))))) 0(1(3(2(3(x1))))) -> 0(0(2(3(3(1(x1)))))) 0(1(3(4(2(x1))))) -> 0(2(3(4(1(1(x1)))))) 0(2(1(0(1(x1))))) -> 0(0(2(0(1(1(x1)))))) 0(2(1(2(2(x1))))) -> 0(2(0(2(2(1(x1)))))) 0(2(3(0(5(x1))))) -> 0(2(0(0(5(3(x1)))))) 0(3(0(1(3(x1))))) -> 0(0(4(3(1(3(x1)))))) 0(3(0(4(1(x1))))) -> 0(0(1(4(4(3(x1)))))) 0(3(2(0(4(x1))))) -> 4(0(0(2(3(4(x1)))))) 0(4(5(2(3(x1))))) -> 0(2(2(3(4(5(x1)))))) 0(5(0(0(3(x1))))) -> 0(2(0(3(0(5(x1)))))) 0(5(0(1(2(x1))))) -> 0(0(2(0(1(5(x1)))))) 0(5(1(4(2(x1))))) -> 0(2(0(1(4(5(x1)))))) 0(5(2(5(1(x1))))) -> 0(2(0(5(5(1(x1)))))) 2(1(0(0(4(x1))))) -> 1(4(4(0(0(2(x1)))))) 2(5(0(0(3(x1))))) -> 0(2(0(0(5(3(x1)))))) 2(5(3(0(1(x1))))) -> 5(0(2(2(3(1(x1)))))) 5(0(1(2(2(x1))))) -> 5(1(0(2(0(2(x1)))))) 5(2(0(1(2(x1))))) -> 1(5(4(0(2(2(x1)))))) 5(2(1(0(1(x1))))) -> 0(2(3(1(5(1(x1)))))) 5(2(3(0(1(x1))))) -> 1(5(0(2(2(3(x1)))))) 5(3(0(4(1(x1))))) -> 4(5(0(2(3(1(x1)))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(3(x_1)) -> 3(encArg(x_1)) encArg(4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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(0(1(1(x1))))) 0(1(2(2(x1)))) -> 0(2(2(1(0(x1))))) 0(1(2(2(x1)))) -> 1(0(2(2(0(x1))))) 0(1(2(3(x1)))) -> 0(2(0(1(3(x1))))) 0(1(2(3(x1)))) -> 0(2(3(3(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(0(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(2(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(2(1(1(x1)))))) 0(3(2(2(x1)))) -> 3(4(0(2(2(x1))))) 0(3(2(2(x1)))) -> 0(2(2(2(2(3(x1)))))) 0(4(1(2(x1)))) -> 0(2(2(1(4(x1))))) 0(4(1(2(x1)))) -> 4(0(2(0(1(x1))))) 0(5(0(1(x1)))) -> 0(2(0(2(5(1(x1)))))) 0(5(0(5(x1)))) -> 0(2(0(5(5(x1))))) 0(5(2(1(x1)))) -> 0(2(2(5(1(x1))))) 0(5(2(5(x1)))) -> 0(2(2(5(5(x1))))) 0(5(4(2(x1)))) -> 4(0(2(2(0(5(x1)))))) 2(1(0(3(x1)))) -> 4(0(2(2(3(1(x1)))))) 2(1(0(4(x1)))) -> 1(4(0(2(2(2(x1)))))) 2(5(4(2(x1)))) -> 4(0(2(2(5(x1))))) 0(0(1(0(4(x1))))) -> 0(0(2(0(1(4(x1)))))) 0(0(5(4(2(x1))))) -> 0(4(0(0(2(5(x1)))))) 0(1(0(1(2(x1))))) -> 0(2(0(1(4(1(x1)))))) 0(1(2(0(3(x1))))) -> 0(2(0(4(1(3(x1)))))) 0(1(2(2(2(x1))))) -> 0(2(2(2(1(2(x1)))))) 0(1(2(3(2(x1))))) -> 1(3(4(0(2(2(x1)))))) 0(1(3(2(3(x1))))) -> 0(0(2(3(3(1(x1)))))) 0(1(3(4(2(x1))))) -> 0(2(3(4(1(1(x1)))))) 0(2(1(0(1(x1))))) -> 0(0(2(0(1(1(x1)))))) 0(2(1(2(2(x1))))) -> 0(2(0(2(2(1(x1)))))) 0(2(3(0(5(x1))))) -> 0(2(0(0(5(3(x1)))))) 0(3(0(1(3(x1))))) -> 0(0(4(3(1(3(x1)))))) 0(3(0(4(1(x1))))) -> 0(0(1(4(4(3(x1)))))) 0(3(2(0(4(x1))))) -> 4(0(0(2(3(4(x1)))))) 0(4(5(2(3(x1))))) -> 0(2(2(3(4(5(x1)))))) 0(5(0(0(3(x1))))) -> 0(2(0(3(0(5(x1)))))) 0(5(0(1(2(x1))))) -> 0(0(2(0(1(5(x1)))))) 0(5(1(4(2(x1))))) -> 0(2(0(1(4(5(x1)))))) 0(5(2(5(1(x1))))) -> 0(2(0(5(5(1(x1)))))) 2(1(0(0(4(x1))))) -> 1(4(4(0(0(2(x1)))))) 2(5(0(0(3(x1))))) -> 0(2(0(0(5(3(x1)))))) 2(5(3(0(1(x1))))) -> 5(0(2(2(3(1(x1)))))) 5(0(1(2(2(x1))))) -> 5(1(0(2(0(2(x1)))))) 5(2(0(1(2(x1))))) -> 1(5(4(0(2(2(x1)))))) 5(2(1(0(1(x1))))) -> 0(2(3(1(5(1(x1)))))) 5(2(3(0(1(x1))))) -> 1(5(0(2(2(3(x1)))))) 5(3(0(4(1(x1))))) -> 4(5(0(2(3(1(x1)))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(3(x_1)) -> 3(encArg(x_1)) encArg(4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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(0(1(1(x1))))) 0(1(2(2(x1)))) -> 0(2(2(1(0(x1))))) 0(1(2(2(x1)))) -> 1(0(2(2(0(x1))))) 0(1(2(3(x1)))) -> 0(2(0(1(3(x1))))) 0(1(2(3(x1)))) -> 0(2(3(3(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(0(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(2(1(x1))))) 0(2(1(2(x1)))) -> 0(2(2(2(1(1(x1)))))) 0(3(2(2(x1)))) -> 3(4(0(2(2(x1))))) 0(3(2(2(x1)))) -> 0(2(2(2(2(3(x1)))))) 0(4(1(2(x1)))) -> 0(2(2(1(4(x1))))) 0(4(1(2(x1)))) -> 4(0(2(0(1(x1))))) 0(5(0(1(x1)))) -> 0(2(0(2(5(1(x1)))))) 0(5(0(5(x1)))) -> 0(2(0(5(5(x1))))) 0(5(2(1(x1)))) -> 0(2(2(5(1(x1))))) 0(5(2(5(x1)))) -> 0(2(2(5(5(x1))))) 0(5(4(2(x1)))) -> 4(0(2(2(0(5(x1)))))) 2(1(0(3(x1)))) -> 4(0(2(2(3(1(x1)))))) 2(1(0(4(x1)))) -> 1(4(0(2(2(2(x1)))))) 2(5(4(2(x1)))) -> 4(0(2(2(5(x1))))) 0(0(1(0(4(x1))))) -> 0(0(2(0(1(4(x1)))))) 0(0(5(4(2(x1))))) -> 0(4(0(0(2(5(x1)))))) 0(1(0(1(2(x1))))) -> 0(2(0(1(4(1(x1)))))) 0(1(2(0(3(x1))))) -> 0(2(0(4(1(3(x1)))))) 0(1(2(2(2(x1))))) -> 0(2(2(2(1(2(x1)))))) 0(1(2(3(2(x1))))) -> 1(3(4(0(2(2(x1)))))) 0(1(3(2(3(x1))))) -> 0(0(2(3(3(1(x1)))))) 0(1(3(4(2(x1))))) -> 0(2(3(4(1(1(x1)))))) 0(2(1(0(1(x1))))) -> 0(0(2(0(1(1(x1)))))) 0(2(1(2(2(x1))))) -> 0(2(0(2(2(1(x1)))))) 0(2(3(0(5(x1))))) -> 0(2(0(0(5(3(x1)))))) 0(3(0(1(3(x1))))) -> 0(0(4(3(1(3(x1)))))) 0(3(0(4(1(x1))))) -> 0(0(1(4(4(3(x1)))))) 0(3(2(0(4(x1))))) -> 4(0(0(2(3(4(x1)))))) 0(4(5(2(3(x1))))) -> 0(2(2(3(4(5(x1)))))) 0(5(0(0(3(x1))))) -> 0(2(0(3(0(5(x1)))))) 0(5(0(1(2(x1))))) -> 0(0(2(0(1(5(x1)))))) 0(5(1(4(2(x1))))) -> 0(2(0(1(4(5(x1)))))) 0(5(2(5(1(x1))))) -> 0(2(0(5(5(1(x1)))))) 2(1(0(0(4(x1))))) -> 1(4(4(0(0(2(x1)))))) 2(5(0(0(3(x1))))) -> 0(2(0(0(5(3(x1)))))) 2(5(3(0(1(x1))))) -> 5(0(2(2(3(1(x1)))))) 5(0(1(2(2(x1))))) -> 5(1(0(2(0(2(x1)))))) 5(2(0(1(2(x1))))) -> 1(5(4(0(2(2(x1)))))) 5(2(1(0(1(x1))))) -> 0(2(3(1(5(1(x1)))))) 5(2(3(0(1(x1))))) -> 1(5(0(2(2(3(x1)))))) 5(3(0(4(1(x1))))) -> 4(5(0(2(3(1(x1)))))) encArg(1(x_1)) -> 1(encArg(x_1)) encArg(3(x_1)) -> 3(encArg(x_1)) encArg(4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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. "[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] {(68,69,[0_1|0, 2_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]), (68,70,[1_1|1, 3_1|1, 4_1|1, 0_1|1, 2_1|1, 5_1|1]), (68,71,[0_1|2]), (68,75,[0_1|2]), (68,80,[0_1|2]), (68,85,[0_1|2]), (68,89,[1_1|2]), (68,93,[0_1|2]), (68,98,[0_1|2]), (68,102,[0_1|2]), (68,106,[1_1|2]), (68,111,[0_1|2]), (68,116,[0_1|2]), (68,121,[0_1|2]), (68,126,[0_1|2]), (68,131,[0_1|2]), (68,135,[0_1|2]), (68,139,[0_1|2]), (68,144,[0_1|2]), (68,149,[0_1|2]), (68,154,[0_1|2]), (68,159,[3_1|2]), (68,163,[0_1|2]), (68,168,[4_1|2]), (68,173,[0_1|2]), (68,178,[0_1|2]), (68,183,[0_1|2]), (68,187,[4_1|2]), (68,191,[0_1|2]), (68,196,[0_1|2]), (68,201,[0_1|2]), (68,206,[0_1|2]), (68,210,[0_1|2]), (68,215,[0_1|2]), 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(256,262,[5_1|2]), (256,267,[1_1|2]), (256,272,[0_1|2]), (256,277,[1_1|2]), (256,282,[4_1|2]), (257,258,[0_1|2]), (258,259,[2_1|2]), (259,260,[2_1|2]), (260,261,[3_1|2]), (261,70,[1_1|2]), (261,89,[1_1|2]), (261,106,[1_1|2]), (261,243,[1_1|2]), (261,248,[1_1|2]), (261,267,[1_1|2]), (261,277,[1_1|2]), (262,263,[1_1|2]), (263,264,[0_1|2]), (264,265,[2_1|2]), (265,266,[0_1|2]), (265,131,[0_1|2]), (265,135,[0_1|2]), (265,139,[0_1|2]), (265,144,[0_1|2]), (265,149,[0_1|2]), (265,154,[0_1|2]), (266,70,[2_1|2]), (266,238,[4_1|2]), (266,243,[1_1|2]), (266,248,[1_1|2]), (266,253,[4_1|2]), (266,292,[0_1|2]), (266,257,[5_1|2]), (267,268,[5_1|2]), (268,269,[4_1|2]), (269,270,[0_1|2]), (270,271,[2_1|2]), (271,70,[2_1|2]), (271,238,[4_1|2]), (271,243,[1_1|2]), (271,248,[1_1|2]), (271,253,[4_1|2]), (271,292,[0_1|2]), (271,257,[5_1|2]), (272,273,[2_1|2]), (273,274,[3_1|2]), (274,275,[1_1|2]), (275,276,[5_1|2]), (276,70,[1_1|2]), (276,89,[1_1|2]), (276,106,[1_1|2]), (276,243,[1_1|2]), (276,248,[1_1|2]), (276,267,[1_1|2]), (276,277,[1_1|2]), (277,278,[5_1|2]), (278,279,[0_1|2]), (279,280,[2_1|2]), (280,281,[2_1|2]), (281,70,[3_1|2]), (281,89,[3_1|2]), (281,106,[3_1|2]), (281,243,[3_1|2]), (281,248,[3_1|2]), (281,267,[3_1|2]), (281,277,[3_1|2]), (282,283,[5_1|2]), (283,284,[0_1|2]), (284,285,[2_1|2]), (285,286,[3_1|2]), (286,70,[1_1|2]), (286,89,[1_1|2]), (286,106,[1_1|2]), (286,243,[1_1|2]), (286,248,[1_1|2]), (286,267,[1_1|2]), (286,277,[1_1|2]), (287,288,[2_1|2]), (288,289,[0_1|2]), (289,290,[0_1|2]), (290,291,[5_1|2]), (291,159,[3_1|2]), (292,293,[2_1|2]), (293,294,[0_1|2]), (294,295,[0_1|2]), (295,296,[5_1|2]), (295,282,[4_1|2]), (296,70,[3_1|2]), (296,159,[3_1|2]), (297,298,[4_1|3]), (298,299,[4_1|3]), (299,300,[0_1|3]), (300,301,[0_1|3]), (301,81,[2_1|3]), (301,175,[2_1|3]), (302,303,[0_1|3]), (303,304,[2_1|3]), (304,305,[2_1|3]), (305,306,[3_1|3]), (306,159,[1_1|3]), (307,308,[4_1|3]), (308,309,[0_1|3]), (309,310,[2_1|3]), (310,311,[2_1|3]), (311,168,[2_1|3]), (311,187,[2_1|3]), (311,228,[2_1|3]), (311,238,[2_1|3]), (311,253,[2_1|3]), (311,282,[2_1|3]), (311,81,[2_1|3]), (312,313,[4_1|3]), (313,314,[0_1|3]), (314,315,[2_1|3]), (315,316,[2_1|3]), (316,81,[2_1|3]), (317,318,[4_1|3]), (318,319,[4_1|3]), (319,320,[0_1|3]), (320,321,[0_1|3]), (321,175,[2_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)