/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 55 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 93 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(1(2(x1))) -> 2(3(0(3(1(x1))))) 0(0(0(2(x1)))) -> 3(0(0(3(0(2(x1)))))) 0(0(2(2(x1)))) -> 2(3(0(0(3(2(x1)))))) 0(1(1(2(x1)))) -> 2(3(0(3(1(1(x1)))))) 0(1(2(1(x1)))) -> 0(1(2(4(1(3(x1)))))) 0(1(2(2(x1)))) -> 2(3(0(3(1(2(x1)))))) 0(1(2(5(x1)))) -> 2(0(5(3(1(x1))))) 0(1(5(1(x1)))) -> 1(0(3(5(3(1(x1)))))) 0(1(5(2(x1)))) -> 2(4(1(0(3(5(x1)))))) 0(1(5(2(x1)))) -> 2(4(3(1(0(5(x1)))))) 0(1(5(2(x1)))) -> 3(1(3(0(5(2(x1)))))) 0(1(5(5(x1)))) -> 1(3(0(5(5(x1))))) 0(2(1(2(x1)))) -> 2(2(3(0(3(1(x1)))))) 0(2(5(2(x1)))) -> 2(2(3(0(5(x1))))) 1(1(4(5(x1)))) -> 5(4(1(3(1(x1))))) 1(5(1(5(x1)))) -> 1(3(5(5(3(1(x1)))))) 1(5(5(1(x1)))) -> 1(5(3(1(5(3(x1)))))) 2(0(1(2(x1)))) -> 2(2(3(0(3(1(x1)))))) 2(0(1(5(x1)))) -> 2(1(3(0(5(x1))))) 5(0(1(2(x1)))) -> 3(0(5(3(1(2(x1)))))) 5(0(1(2(x1)))) -> 4(2(3(0(5(1(x1)))))) 0(0(0(0(1(x1))))) -> 0(0(1(0(0(3(x1)))))) 0(0(1(2(5(x1))))) -> 2(0(0(5(3(1(x1)))))) 0(0(1(5(2(x1))))) -> 0(1(0(3(5(2(x1)))))) 0(1(0(4(5(x1))))) -> 5(4(0(0(3(1(x1)))))) 0(1(1(1(2(x1))))) -> 1(0(3(1(1(2(x1)))))) 0(1(2(1(5(x1))))) -> 2(1(0(5(3(1(x1)))))) 0(1(3(5(2(x1))))) -> 3(0(4(1(5(2(x1)))))) 0(1(4(2(5(x1))))) -> 2(4(3(0(5(1(x1)))))) 0(1(4(4(2(x1))))) -> 1(0(4(4(4(2(x1)))))) 0(1(5(0(1(x1))))) -> 0(1(1(0(5(3(x1)))))) 0(1(5(0(5(x1))))) -> 3(5(1(0(5(0(x1)))))) 0(2(4(2(1(x1))))) -> 2(1(2(4(3(0(x1)))))) 0(4(0(2(1(x1))))) -> 3(0(4(1(2(0(x1)))))) 0(5(0(1(5(x1))))) -> 0(5(0(5(3(1(x1)))))) 1(0(0(1(5(x1))))) -> 5(1(0(0(3(1(x1)))))) 1(0(1(4(5(x1))))) -> 1(4(4(1(0(5(x1)))))) 1(4(0(1(5(x1))))) -> 1(4(1(3(0(5(x1)))))) 2(0(1(5(2(x1))))) -> 2(1(0(3(5(2(x1)))))) 2(0(4(2(1(x1))))) -> 2(1(4(2(3(0(x1)))))) 2(0(5(1(2(x1))))) -> 0(3(1(5(2(2(x1)))))) 2(2(1(1(2(x1))))) -> 2(2(1(3(1(2(x1)))))) 2(5(1(5(2(x1))))) -> 2(4(1(5(5(2(x1)))))) 5(0(1(4(5(x1))))) -> 4(1(0(3(5(5(x1)))))) 5(1(0(1(5(x1))))) -> 3(1(5(1(0(5(x1)))))) 5(4(0(2(1(x1))))) -> 4(1(3(5(2(0(x1)))))) 5(5(1(4(5(x1))))) -> 5(4(1(3(5(5(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(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_1(x_1)) -> 1(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(1(2(x1))) -> 2(3(0(3(1(x1))))) 0(0(0(2(x1)))) -> 3(0(0(3(0(2(x1)))))) 0(0(2(2(x1)))) -> 2(3(0(0(3(2(x1)))))) 0(1(1(2(x1)))) -> 2(3(0(3(1(1(x1)))))) 0(1(2(1(x1)))) -> 0(1(2(4(1(3(x1)))))) 0(1(2(2(x1)))) -> 2(3(0(3(1(2(x1)))))) 0(1(2(5(x1)))) -> 2(0(5(3(1(x1))))) 0(1(5(1(x1)))) -> 1(0(3(5(3(1(x1)))))) 0(1(5(2(x1)))) -> 2(4(1(0(3(5(x1)))))) 0(1(5(2(x1)))) -> 2(4(3(1(0(5(x1)))))) 0(1(5(2(x1)))) -> 3(1(3(0(5(2(x1)))))) 0(1(5(5(x1)))) -> 1(3(0(5(5(x1))))) 0(2(1(2(x1)))) -> 2(2(3(0(3(1(x1)))))) 0(2(5(2(x1)))) -> 2(2(3(0(5(x1))))) 1(1(4(5(x1)))) -> 5(4(1(3(1(x1))))) 1(5(1(5(x1)))) -> 1(3(5(5(3(1(x1)))))) 1(5(5(1(x1)))) -> 1(5(3(1(5(3(x1)))))) 2(0(1(2(x1)))) -> 2(2(3(0(3(1(x1)))))) 2(0(1(5(x1)))) -> 2(1(3(0(5(x1))))) 5(0(1(2(x1)))) -> 3(0(5(3(1(2(x1)))))) 5(0(1(2(x1)))) -> 4(2(3(0(5(1(x1)))))) 0(0(0(0(1(x1))))) -> 0(0(1(0(0(3(x1)))))) 0(0(1(2(5(x1))))) -> 2(0(0(5(3(1(x1)))))) 0(0(1(5(2(x1))))) -> 0(1(0(3(5(2(x1)))))) 0(1(0(4(5(x1))))) -> 5(4(0(0(3(1(x1)))))) 0(1(1(1(2(x1))))) -> 1(0(3(1(1(2(x1)))))) 0(1(2(1(5(x1))))) -> 2(1(0(5(3(1(x1)))))) 0(1(3(5(2(x1))))) -> 3(0(4(1(5(2(x1)))))) 0(1(4(2(5(x1))))) -> 2(4(3(0(5(1(x1)))))) 0(1(4(4(2(x1))))) -> 1(0(4(4(4(2(x1)))))) 0(1(5(0(1(x1))))) -> 0(1(1(0(5(3(x1)))))) 0(1(5(0(5(x1))))) -> 3(5(1(0(5(0(x1)))))) 0(2(4(2(1(x1))))) -> 2(1(2(4(3(0(x1)))))) 0(4(0(2(1(x1))))) -> 3(0(4(1(2(0(x1)))))) 0(5(0(1(5(x1))))) -> 0(5(0(5(3(1(x1)))))) 1(0(0(1(5(x1))))) -> 5(1(0(0(3(1(x1)))))) 1(0(1(4(5(x1))))) -> 1(4(4(1(0(5(x1)))))) 1(4(0(1(5(x1))))) -> 1(4(1(3(0(5(x1)))))) 2(0(1(5(2(x1))))) -> 2(1(0(3(5(2(x1)))))) 2(0(4(2(1(x1))))) -> 2(1(4(2(3(0(x1)))))) 2(0(5(1(2(x1))))) -> 0(3(1(5(2(2(x1)))))) 2(2(1(1(2(x1))))) -> 2(2(1(3(1(2(x1)))))) 2(5(1(5(2(x1))))) -> 2(4(1(5(5(2(x1)))))) 5(0(1(4(5(x1))))) -> 4(1(0(3(5(5(x1)))))) 5(1(0(1(5(x1))))) -> 3(1(5(1(0(5(x1)))))) 5(4(0(2(1(x1))))) -> 4(1(3(5(2(0(x1)))))) 5(5(1(4(5(x1))))) -> 5(4(1(3(5(5(x1)))))) The (relative) TRS S consists of the following rules: 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_1(x_1)) -> 1(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(1(2(x1))) -> 2(3(0(3(1(x1))))) 0(0(0(2(x1)))) -> 3(0(0(3(0(2(x1)))))) 0(0(2(2(x1)))) -> 2(3(0(0(3(2(x1)))))) 0(1(1(2(x1)))) -> 2(3(0(3(1(1(x1)))))) 0(1(2(1(x1)))) -> 0(1(2(4(1(3(x1)))))) 0(1(2(2(x1)))) -> 2(3(0(3(1(2(x1)))))) 0(1(2(5(x1)))) -> 2(0(5(3(1(x1))))) 0(1(5(1(x1)))) -> 1(0(3(5(3(1(x1)))))) 0(1(5(2(x1)))) -> 2(4(1(0(3(5(x1)))))) 0(1(5(2(x1)))) -> 2(4(3(1(0(5(x1)))))) 0(1(5(2(x1)))) -> 3(1(3(0(5(2(x1)))))) 0(1(5(5(x1)))) -> 1(3(0(5(5(x1))))) 0(2(1(2(x1)))) -> 2(2(3(0(3(1(x1)))))) 0(2(5(2(x1)))) -> 2(2(3(0(5(x1))))) 1(1(4(5(x1)))) -> 5(4(1(3(1(x1))))) 1(5(1(5(x1)))) -> 1(3(5(5(3(1(x1)))))) 1(5(5(1(x1)))) -> 1(5(3(1(5(3(x1)))))) 2(0(1(2(x1)))) -> 2(2(3(0(3(1(x1)))))) 2(0(1(5(x1)))) -> 2(1(3(0(5(x1))))) 5(0(1(2(x1)))) -> 3(0(5(3(1(2(x1)))))) 5(0(1(2(x1)))) -> 4(2(3(0(5(1(x1)))))) 0(0(0(0(1(x1))))) -> 0(0(1(0(0(3(x1)))))) 0(0(1(2(5(x1))))) -> 2(0(0(5(3(1(x1)))))) 0(0(1(5(2(x1))))) -> 0(1(0(3(5(2(x1)))))) 0(1(0(4(5(x1))))) -> 5(4(0(0(3(1(x1)))))) 0(1(1(1(2(x1))))) -> 1(0(3(1(1(2(x1)))))) 0(1(2(1(5(x1))))) -> 2(1(0(5(3(1(x1)))))) 0(1(3(5(2(x1))))) -> 3(0(4(1(5(2(x1)))))) 0(1(4(2(5(x1))))) -> 2(4(3(0(5(1(x1)))))) 0(1(4(4(2(x1))))) -> 1(0(4(4(4(2(x1)))))) 0(1(5(0(1(x1))))) -> 0(1(1(0(5(3(x1)))))) 0(1(5(0(5(x1))))) -> 3(5(1(0(5(0(x1)))))) 0(2(4(2(1(x1))))) -> 2(1(2(4(3(0(x1)))))) 0(4(0(2(1(x1))))) -> 3(0(4(1(2(0(x1)))))) 0(5(0(1(5(x1))))) -> 0(5(0(5(3(1(x1)))))) 1(0(0(1(5(x1))))) -> 5(1(0(0(3(1(x1)))))) 1(0(1(4(5(x1))))) -> 1(4(4(1(0(5(x1)))))) 1(4(0(1(5(x1))))) -> 1(4(1(3(0(5(x1)))))) 2(0(1(5(2(x1))))) -> 2(1(0(3(5(2(x1)))))) 2(0(4(2(1(x1))))) -> 2(1(4(2(3(0(x1)))))) 2(0(5(1(2(x1))))) -> 0(3(1(5(2(2(x1)))))) 2(2(1(1(2(x1))))) -> 2(2(1(3(1(2(x1)))))) 2(5(1(5(2(x1))))) -> 2(4(1(5(5(2(x1)))))) 5(0(1(4(5(x1))))) -> 4(1(0(3(5(5(x1)))))) 5(1(0(1(5(x1))))) -> 3(1(5(1(0(5(x1)))))) 5(4(0(2(1(x1))))) -> 4(1(3(5(2(0(x1)))))) 5(5(1(4(5(x1))))) -> 5(4(1(3(5(5(x1)))))) The (relative) TRS S consists of the following rules: 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_1(x_1)) -> 1(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(1(2(x1))) -> 2(3(0(3(1(x1))))) 0(0(0(2(x1)))) -> 3(0(0(3(0(2(x1)))))) 0(0(2(2(x1)))) -> 2(3(0(0(3(2(x1)))))) 0(1(1(2(x1)))) -> 2(3(0(3(1(1(x1)))))) 0(1(2(1(x1)))) -> 0(1(2(4(1(3(x1)))))) 0(1(2(2(x1)))) -> 2(3(0(3(1(2(x1)))))) 0(1(2(5(x1)))) -> 2(0(5(3(1(x1))))) 0(1(5(1(x1)))) -> 1(0(3(5(3(1(x1)))))) 0(1(5(2(x1)))) -> 2(4(1(0(3(5(x1)))))) 0(1(5(2(x1)))) -> 2(4(3(1(0(5(x1)))))) 0(1(5(2(x1)))) -> 3(1(3(0(5(2(x1)))))) 0(1(5(5(x1)))) -> 1(3(0(5(5(x1))))) 0(2(1(2(x1)))) -> 2(2(3(0(3(1(x1)))))) 0(2(5(2(x1)))) -> 2(2(3(0(5(x1))))) 1(1(4(5(x1)))) -> 5(4(1(3(1(x1))))) 1(5(1(5(x1)))) -> 1(3(5(5(3(1(x1)))))) 1(5(5(1(x1)))) -> 1(5(3(1(5(3(x1)))))) 2(0(1(2(x1)))) -> 2(2(3(0(3(1(x1)))))) 2(0(1(5(x1)))) -> 2(1(3(0(5(x1))))) 5(0(1(2(x1)))) -> 3(0(5(3(1(2(x1)))))) 5(0(1(2(x1)))) -> 4(2(3(0(5(1(x1)))))) 0(0(0(0(1(x1))))) -> 0(0(1(0(0(3(x1)))))) 0(0(1(2(5(x1))))) -> 2(0(0(5(3(1(x1)))))) 0(0(1(5(2(x1))))) -> 0(1(0(3(5(2(x1)))))) 0(1(0(4(5(x1))))) -> 5(4(0(0(3(1(x1)))))) 0(1(1(1(2(x1))))) -> 1(0(3(1(1(2(x1)))))) 0(1(2(1(5(x1))))) -> 2(1(0(5(3(1(x1)))))) 0(1(3(5(2(x1))))) -> 3(0(4(1(5(2(x1)))))) 0(1(4(2(5(x1))))) -> 2(4(3(0(5(1(x1)))))) 0(1(4(4(2(x1))))) -> 1(0(4(4(4(2(x1)))))) 0(1(5(0(1(x1))))) -> 0(1(1(0(5(3(x1)))))) 0(1(5(0(5(x1))))) -> 3(5(1(0(5(0(x1)))))) 0(2(4(2(1(x1))))) -> 2(1(2(4(3(0(x1)))))) 0(4(0(2(1(x1))))) -> 3(0(4(1(2(0(x1)))))) 0(5(0(1(5(x1))))) -> 0(5(0(5(3(1(x1)))))) 1(0(0(1(5(x1))))) -> 5(1(0(0(3(1(x1)))))) 1(0(1(4(5(x1))))) -> 1(4(4(1(0(5(x1)))))) 1(4(0(1(5(x1))))) -> 1(4(1(3(0(5(x1)))))) 2(0(1(5(2(x1))))) -> 2(1(0(3(5(2(x1)))))) 2(0(4(2(1(x1))))) -> 2(1(4(2(3(0(x1)))))) 2(0(5(1(2(x1))))) -> 0(3(1(5(2(2(x1)))))) 2(2(1(1(2(x1))))) -> 2(2(1(3(1(2(x1)))))) 2(5(1(5(2(x1))))) -> 2(4(1(5(5(2(x1)))))) 5(0(1(4(5(x1))))) -> 4(1(0(3(5(5(x1)))))) 5(1(0(1(5(x1))))) -> 3(1(5(1(0(5(x1)))))) 5(4(0(2(1(x1))))) -> 4(1(3(5(2(0(x1)))))) 5(5(1(4(5(x1))))) -> 5(4(1(3(5(5(x1)))))) 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_1(x_1)) -> 1(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. "[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] {(75,76,[0_1|0, 1_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]), (75,77,[3_1|1, 4_1|1, 0_1|1, 1_1|1, 2_1|1, 5_1|1]), (75,78,[2_1|2]), (75,82,[0_1|2]), (75,87,[2_1|2]), (75,92,[2_1|2]), (75,97,[2_1|2]), (75,101,[2_1|2]), (75,106,[1_1|2]), (75,111,[1_1|2]), (75,116,[2_1|2]), (75,121,[2_1|2]), (75,126,[3_1|2]), (75,131,[1_1|2]), (75,135,[0_1|2]), (75,140,[3_1|2]), (75,145,[5_1|2]), (75,150,[3_1|2]), (75,155,[2_1|2]), (75,160,[1_1|2]), (75,165,[3_1|2]), (75,170,[0_1|2]), (75,175,[2_1|2]), (75,180,[2_1|2]), (75,185,[0_1|2]), (75,190,[2_1|2]), (75,195,[2_1|2]), (75,199,[2_1|2]), (75,204,[3_1|2]), 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(296,145,[5_1|2]), (296,150,[3_1|2]), (296,155,[2_1|2]), (296,165,[3_1|2]), (296,170,[0_1|2]), (296,175,[2_1|2]), (296,180,[2_1|2]), (296,185,[0_1|2]), (296,190,[2_1|2]), (296,195,[2_1|2]), (296,199,[2_1|2]), (296,204,[3_1|2]), (296,209,[0_1|2]), (296,336,[2_1|3]), (296,307,[2_1|3]), (297,298,[4_1|2]), (298,299,[1_1|2]), (299,300,[3_1|2]), (300,301,[5_1|2]), (300,297,[5_1|2]), (301,77,[5_1|2]), (301,145,[5_1|2]), (301,214,[5_1|2]), (301,228,[5_1|2]), (301,297,[5_1|2]), (301,272,[3_1|2]), (301,277,[4_1|2]), (301,282,[4_1|2]), (301,287,[3_1|2]), (301,292,[4_1|2]), (301,321,[3_1|3]), (301,326,[4_1|3]), (302,303,[2_1|2]), (303,304,[3_1|2]), (304,305,[0_1|2]), (305,306,[3_1|2]), (306,84,[1_1|2]), (307,308,[3_1|3]), (308,309,[0_1|3]), (309,310,[3_1|3]), (310,84,[1_1|3]), (311,312,[2_1|2]), (312,313,[3_1|2]), (313,314,[0_1|2]), (314,315,[3_1|2]), (315,77,[1_1|2]), (315,78,[1_1|2]), (315,87,[1_1|2]), (315,92,[1_1|2]), (315,97,[1_1|2]), (315,101,[1_1|2]), (315,116,[1_1|2]), (315,121,[1_1|2]), (315,155,[1_1|2]), (315,175,[1_1|2]), (315,180,[1_1|2]), (315,190,[1_1|2]), (315,195,[1_1|2]), (315,199,[1_1|2]), (315,243,[1_1|2]), (315,247,[1_1|2]), (315,252,[1_1|2]), (315,262,[1_1|2]), (315,267,[1_1|2]), (315,302,[1_1|2]), (315,307,[1_1|2]), (315,214,[5_1|2]), (315,218,[1_1|2]), (315,223,[1_1|2]), (315,228,[5_1|2]), (315,233,[1_1|2]), (315,238,[1_1|2]), (316,317,[2_1|3]), (317,318,[3_1|3]), (318,319,[0_1|3]), (319,320,[3_1|3]), (320,84,[1_1|3]), (321,322,[0_1|3]), (322,323,[5_1|3]), (323,324,[3_1|3]), (324,325,[1_1|3]), (325,84,[2_1|3]), (326,327,[2_1|3]), (327,328,[3_1|3]), (328,329,[0_1|3]), (329,330,[5_1|3]), (330,84,[1_1|3]), (331,332,[5_1|3]), (332,333,[0_1|3]), (333,334,[5_1|3]), (334,335,[3_1|3]), (335,224,[1_1|3]), (336,337,[2_1|3]), (337,338,[3_1|3]), (338,339,[0_1|3]), (339,340,[3_1|3]), (340,201,[1_1|3]), (341,342,[1_1|3]), (342,343,[3_1|3]), (343,344,[0_1|3]), (344,224,[5_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)