WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 175 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 56 ms] (8) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: The Derivational Complexity (full) 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: FULL ---------------------------------------- (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 (full) 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: FULL ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (full) 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: FULL ---------------------------------------- (5) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (full) 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: FULL ---------------------------------------- (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. 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(253,264,[1_1|2]), (253,269,[0_1|2]), (253,274,[1_1|2]), (253,279,[4_1|2]), (254,255,[0_1|2]), (255,256,[2_1|2]), (256,257,[2_1|2]), (257,258,[3_1|2]), (258,67,[1_1|2]), (258,86,[1_1|2]), (258,103,[1_1|2]), (258,240,[1_1|2]), (258,245,[1_1|2]), (258,264,[1_1|2]), (258,274,[1_1|2]), (259,260,[1_1|2]), (260,261,[0_1|2]), (261,262,[2_1|2]), (262,263,[0_1|2]), (262,128,[0_1|2]), (262,132,[0_1|2]), (262,136,[0_1|2]), (262,141,[0_1|2]), (262,146,[0_1|2]), (262,151,[0_1|2]), (263,67,[2_1|2]), (263,235,[4_1|2]), (263,240,[1_1|2]), (263,245,[1_1|2]), (263,250,[4_1|2]), (263,289,[0_1|2]), (263,254,[5_1|2]), (264,265,[5_1|2]), (265,266,[4_1|2]), (266,267,[0_1|2]), (267,268,[2_1|2]), (268,67,[2_1|2]), (268,235,[4_1|2]), (268,240,[1_1|2]), (268,245,[1_1|2]), (268,250,[4_1|2]), (268,289,[0_1|2]), (268,254,[5_1|2]), (269,270,[2_1|2]), (270,271,[3_1|2]), (271,272,[1_1|2]), (272,273,[5_1|2]), (273,67,[1_1|2]), (273,86,[1_1|2]), (273,103,[1_1|2]), (273,240,[1_1|2]), (273,245,[1_1|2]), (273,264,[1_1|2]), (273,274,[1_1|2]), (274,275,[5_1|2]), (275,276,[0_1|2]), (276,277,[2_1|2]), (277,278,[2_1|2]), (278,67,[3_1|2]), (278,86,[3_1|2]), (278,103,[3_1|2]), (278,240,[3_1|2]), (278,245,[3_1|2]), (278,264,[3_1|2]), (278,274,[3_1|2]), (279,280,[5_1|2]), (280,281,[0_1|2]), (281,282,[2_1|2]), (282,283,[3_1|2]), (283,67,[1_1|2]), (283,86,[1_1|2]), (283,103,[1_1|2]), (283,240,[1_1|2]), (283,245,[1_1|2]), (283,264,[1_1|2]), (283,274,[1_1|2]), (284,285,[2_1|2]), (285,286,[0_1|2]), (286,287,[0_1|2]), (287,288,[5_1|2]), (288,156,[3_1|2]), (289,290,[2_1|2]), (290,291,[0_1|2]), (291,292,[0_1|2]), (292,293,[5_1|2]), (292,279,[4_1|2]), (293,67,[3_1|2]), (293,156,[3_1|2]), (294,295,[4_1|3]), (295,296,[4_1|3]), (296,297,[0_1|3]), (297,298,[0_1|3]), (298,78,[2_1|3]), (298,172,[2_1|3]), (299,300,[0_1|3]), (300,301,[2_1|3]), (301,302,[2_1|3]), (302,303,[3_1|3]), (303,156,[1_1|3]), (304,305,[4_1|3]), (305,306,[0_1|3]), (306,307,[2_1|3]), (307,308,[2_1|3]), (308,165,[2_1|3]), (308,184,[2_1|3]), (308,225,[2_1|3]), (308,235,[2_1|3]), (308,250,[2_1|3]), (308,279,[2_1|3]), (308,78,[2_1|3]), (309,310,[4_1|3]), (310,311,[0_1|3]), (311,312,[2_1|3]), (312,313,[2_1|3]), (313,78,[2_1|3]), (314,315,[4_1|3]), (315,316,[4_1|3]), (316,317,[0_1|3]), (317,318,[0_1|3]), (318,172,[2_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)