WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 42 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 186 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(x1))) -> 0(1(2(0(3(x1))))) 0(0(1(x1))) -> 0(1(2(0(3(2(x1)))))) 0(0(1(x1))) -> 1(2(0(0(3(2(x1)))))) 0(1(0(x1))) -> 2(0(3(1(2(0(x1)))))) 0(4(1(x1))) -> 4(0(3(1(x1)))) 0(4(1(x1))) -> 2(4(0(3(2(1(x1)))))) 0(4(1(x1))) -> 2(4(0(5(3(1(x1)))))) 0(4(1(x1))) -> 4(2(1(2(0(3(x1)))))) 4(1(0(x1))) -> 1(2(0(4(x1)))) 0(0(1(1(x1)))) -> 1(2(0(0(3(1(x1)))))) 0(0(2(1(x1)))) -> 2(2(0(3(0(1(x1)))))) 0(0(4(1(x1)))) -> 1(4(0(3(0(3(x1)))))) 0(0(5(1(x1)))) -> 0(0(3(1(2(5(x1)))))) 0(1(1(0(x1)))) -> 1(2(0(0(1(2(x1)))))) 0(1(4(1(x1)))) -> 0(1(2(4(1(2(x1)))))) 0(1(5(0(x1)))) -> 1(2(5(0(0(3(x1)))))) 0(2(4(1(x1)))) -> 4(0(5(3(1(2(x1)))))) 0(4(1(0(x1)))) -> 0(4(0(1(2(x1))))) 0(4(2(1(x1)))) -> 4(0(3(2(2(1(x1)))))) 0(4(2(1(x1)))) -> 4(0(3(5(1(2(x1)))))) 0(4(4(1(x1)))) -> 2(4(0(3(4(1(x1)))))) 0(5(0(1(x1)))) -> 0(2(0(3(5(1(x1)))))) 0(5(0(1(x1)))) -> 5(2(0(3(0(1(x1)))))) 0(5(1(0(x1)))) -> 0(1(2(0(3(5(x1)))))) 0(5(1(0(x1)))) -> 2(0(1(3(5(0(x1)))))) 4(0(5(1(x1)))) -> 1(4(0(5(3(2(x1)))))) 4(1(0(0(x1)))) -> 0(4(1(2(0(x1))))) 4(1(0(1(x1)))) -> 1(1(2(0(4(x1))))) 4(1(5(0(x1)))) -> 1(2(0(5(4(x1))))) 4(1(5(0(x1)))) -> 1(4(0(3(5(x1))))) 4(3(1(0(x1)))) -> 1(4(2(0(3(x1))))) 4(3(1(0(x1)))) -> 2(0(2(1(3(4(x1)))))) 4(3(1(0(x1)))) -> 2(1(4(2(0(3(x1)))))) 4(3(1(0(x1)))) -> 2(2(4(0(1(3(x1)))))) 5(0(1(0(x1)))) -> 0(3(5(1(2(0(x1)))))) 5(0(1(0(x1)))) -> 1(5(2(0(3(0(x1)))))) 5(4(1(0(x1)))) -> 0(1(2(4(5(2(x1)))))) 0(0(5(5(1(x1))))) -> 1(0(0(3(5(5(x1)))))) 0(1(0(5(0(x1))))) -> 0(1(5(2(0(0(x1)))))) 0(2(5(0(1(x1))))) -> 2(0(3(5(0(1(x1)))))) 0(3(1(0(0(x1))))) -> 0(0(3(0(1(2(x1)))))) 0(4(1(4(1(x1))))) -> 4(4(0(1(2(1(x1)))))) 0(5(5(4(1(x1))))) -> 4(1(0(5(5(3(x1)))))) 4(1(5(0(0(x1))))) -> 1(2(0(4(5(0(x1)))))) 4(1(5(5(0(x1))))) -> 5(1(3(0(5(4(x1)))))) 4(3(1(0(1(x1))))) -> 1(1(2(3(0(4(x1)))))) 4(3(1(1(0(x1))))) -> 1(2(0(1(4(3(x1)))))) 4(3(1(5(0(x1))))) -> 5(1(0(3(2(4(x1)))))) 4(4(1(0(5(x1))))) -> 4(0(5(3(4(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(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_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 (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(x1))) -> 0(1(2(0(3(x1))))) 0(0(1(x1))) -> 0(1(2(0(3(2(x1)))))) 0(0(1(x1))) -> 1(2(0(0(3(2(x1)))))) 0(1(0(x1))) -> 2(0(3(1(2(0(x1)))))) 0(4(1(x1))) -> 4(0(3(1(x1)))) 0(4(1(x1))) -> 2(4(0(3(2(1(x1)))))) 0(4(1(x1))) -> 2(4(0(5(3(1(x1)))))) 0(4(1(x1))) -> 4(2(1(2(0(3(x1)))))) 4(1(0(x1))) -> 1(2(0(4(x1)))) 0(0(1(1(x1)))) -> 1(2(0(0(3(1(x1)))))) 0(0(2(1(x1)))) -> 2(2(0(3(0(1(x1)))))) 0(0(4(1(x1)))) -> 1(4(0(3(0(3(x1)))))) 0(0(5(1(x1)))) -> 0(0(3(1(2(5(x1)))))) 0(1(1(0(x1)))) -> 1(2(0(0(1(2(x1)))))) 0(1(4(1(x1)))) -> 0(1(2(4(1(2(x1)))))) 0(1(5(0(x1)))) -> 1(2(5(0(0(3(x1)))))) 0(2(4(1(x1)))) -> 4(0(5(3(1(2(x1)))))) 0(4(1(0(x1)))) -> 0(4(0(1(2(x1))))) 0(4(2(1(x1)))) -> 4(0(3(2(2(1(x1)))))) 0(4(2(1(x1)))) -> 4(0(3(5(1(2(x1)))))) 0(4(4(1(x1)))) -> 2(4(0(3(4(1(x1)))))) 0(5(0(1(x1)))) -> 0(2(0(3(5(1(x1)))))) 0(5(0(1(x1)))) -> 5(2(0(3(0(1(x1)))))) 0(5(1(0(x1)))) -> 0(1(2(0(3(5(x1)))))) 0(5(1(0(x1)))) -> 2(0(1(3(5(0(x1)))))) 4(0(5(1(x1)))) -> 1(4(0(5(3(2(x1)))))) 4(1(0(0(x1)))) -> 0(4(1(2(0(x1))))) 4(1(0(1(x1)))) -> 1(1(2(0(4(x1))))) 4(1(5(0(x1)))) -> 1(2(0(5(4(x1))))) 4(1(5(0(x1)))) -> 1(4(0(3(5(x1))))) 4(3(1(0(x1)))) -> 1(4(2(0(3(x1))))) 4(3(1(0(x1)))) -> 2(0(2(1(3(4(x1)))))) 4(3(1(0(x1)))) -> 2(1(4(2(0(3(x1)))))) 4(3(1(0(x1)))) -> 2(2(4(0(1(3(x1)))))) 5(0(1(0(x1)))) -> 0(3(5(1(2(0(x1)))))) 5(0(1(0(x1)))) -> 1(5(2(0(3(0(x1)))))) 5(4(1(0(x1)))) -> 0(1(2(4(5(2(x1)))))) 0(0(5(5(1(x1))))) -> 1(0(0(3(5(5(x1)))))) 0(1(0(5(0(x1))))) -> 0(1(5(2(0(0(x1)))))) 0(2(5(0(1(x1))))) -> 2(0(3(5(0(1(x1)))))) 0(3(1(0(0(x1))))) -> 0(0(3(0(1(2(x1)))))) 0(4(1(4(1(x1))))) -> 4(4(0(1(2(1(x1)))))) 0(5(5(4(1(x1))))) -> 4(1(0(5(5(3(x1)))))) 4(1(5(0(0(x1))))) -> 1(2(0(4(5(0(x1)))))) 4(1(5(5(0(x1))))) -> 5(1(3(0(5(4(x1)))))) 4(3(1(0(1(x1))))) -> 1(1(2(3(0(4(x1)))))) 4(3(1(1(0(x1))))) -> 1(2(0(1(4(3(x1)))))) 4(3(1(5(0(x1))))) -> 5(1(0(3(2(4(x1)))))) 4(4(1(0(5(x1))))) -> 4(0(5(3(4(1(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(3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(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: 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(x1))) -> 0(1(2(0(3(x1))))) 0(0(1(x1))) -> 0(1(2(0(3(2(x1)))))) 0(0(1(x1))) -> 1(2(0(0(3(2(x1)))))) 0(1(0(x1))) -> 2(0(3(1(2(0(x1)))))) 0(4(1(x1))) -> 4(0(3(1(x1)))) 0(4(1(x1))) -> 2(4(0(3(2(1(x1)))))) 0(4(1(x1))) -> 2(4(0(5(3(1(x1)))))) 0(4(1(x1))) -> 4(2(1(2(0(3(x1)))))) 4(1(0(x1))) -> 1(2(0(4(x1)))) 0(0(1(1(x1)))) -> 1(2(0(0(3(1(x1)))))) 0(0(2(1(x1)))) -> 2(2(0(3(0(1(x1)))))) 0(0(4(1(x1)))) -> 1(4(0(3(0(3(x1)))))) 0(0(5(1(x1)))) -> 0(0(3(1(2(5(x1)))))) 0(1(1(0(x1)))) -> 1(2(0(0(1(2(x1)))))) 0(1(4(1(x1)))) -> 0(1(2(4(1(2(x1)))))) 0(1(5(0(x1)))) -> 1(2(5(0(0(3(x1)))))) 0(2(4(1(x1)))) -> 4(0(5(3(1(2(x1)))))) 0(4(1(0(x1)))) -> 0(4(0(1(2(x1))))) 0(4(2(1(x1)))) -> 4(0(3(2(2(1(x1)))))) 0(4(2(1(x1)))) -> 4(0(3(5(1(2(x1)))))) 0(4(4(1(x1)))) -> 2(4(0(3(4(1(x1)))))) 0(5(0(1(x1)))) -> 0(2(0(3(5(1(x1)))))) 0(5(0(1(x1)))) -> 5(2(0(3(0(1(x1)))))) 0(5(1(0(x1)))) -> 0(1(2(0(3(5(x1)))))) 0(5(1(0(x1)))) -> 2(0(1(3(5(0(x1)))))) 4(0(5(1(x1)))) -> 1(4(0(5(3(2(x1)))))) 4(1(0(0(x1)))) -> 0(4(1(2(0(x1))))) 4(1(0(1(x1)))) -> 1(1(2(0(4(x1))))) 4(1(5(0(x1)))) -> 1(2(0(5(4(x1))))) 4(1(5(0(x1)))) -> 1(4(0(3(5(x1))))) 4(3(1(0(x1)))) -> 1(4(2(0(3(x1))))) 4(3(1(0(x1)))) -> 2(0(2(1(3(4(x1)))))) 4(3(1(0(x1)))) -> 2(1(4(2(0(3(x1)))))) 4(3(1(0(x1)))) -> 2(2(4(0(1(3(x1)))))) 5(0(1(0(x1)))) -> 0(3(5(1(2(0(x1)))))) 5(0(1(0(x1)))) -> 1(5(2(0(3(0(x1)))))) 5(4(1(0(x1)))) -> 0(1(2(4(5(2(x1)))))) 0(0(5(5(1(x1))))) -> 1(0(0(3(5(5(x1)))))) 0(1(0(5(0(x1))))) -> 0(1(5(2(0(0(x1)))))) 0(2(5(0(1(x1))))) -> 2(0(3(5(0(1(x1)))))) 0(3(1(0(0(x1))))) -> 0(0(3(0(1(2(x1)))))) 0(4(1(4(1(x1))))) -> 4(4(0(1(2(1(x1)))))) 0(5(5(4(1(x1))))) -> 4(1(0(5(5(3(x1)))))) 4(1(5(0(0(x1))))) -> 1(2(0(4(5(0(x1)))))) 4(1(5(5(0(x1))))) -> 5(1(3(0(5(4(x1)))))) 4(3(1(0(1(x1))))) -> 1(1(2(3(0(4(x1)))))) 4(3(1(1(0(x1))))) -> 1(2(0(1(4(3(x1)))))) 4(3(1(5(0(x1))))) -> 5(1(0(3(2(4(x1)))))) 4(4(1(0(5(x1))))) -> 4(0(5(3(4(1(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(3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(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: 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(x1))) -> 0(1(2(0(3(x1))))) 0(0(1(x1))) -> 0(1(2(0(3(2(x1)))))) 0(0(1(x1))) -> 1(2(0(0(3(2(x1)))))) 0(1(0(x1))) -> 2(0(3(1(2(0(x1)))))) 0(4(1(x1))) -> 4(0(3(1(x1)))) 0(4(1(x1))) -> 2(4(0(3(2(1(x1)))))) 0(4(1(x1))) -> 2(4(0(5(3(1(x1)))))) 0(4(1(x1))) -> 4(2(1(2(0(3(x1)))))) 4(1(0(x1))) -> 1(2(0(4(x1)))) 0(0(1(1(x1)))) -> 1(2(0(0(3(1(x1)))))) 0(0(2(1(x1)))) -> 2(2(0(3(0(1(x1)))))) 0(0(4(1(x1)))) -> 1(4(0(3(0(3(x1)))))) 0(0(5(1(x1)))) -> 0(0(3(1(2(5(x1)))))) 0(1(1(0(x1)))) -> 1(2(0(0(1(2(x1)))))) 0(1(4(1(x1)))) -> 0(1(2(4(1(2(x1)))))) 0(1(5(0(x1)))) -> 1(2(5(0(0(3(x1)))))) 0(2(4(1(x1)))) -> 4(0(5(3(1(2(x1)))))) 0(4(1(0(x1)))) -> 0(4(0(1(2(x1))))) 0(4(2(1(x1)))) -> 4(0(3(2(2(1(x1)))))) 0(4(2(1(x1)))) -> 4(0(3(5(1(2(x1)))))) 0(4(4(1(x1)))) -> 2(4(0(3(4(1(x1)))))) 0(5(0(1(x1)))) -> 0(2(0(3(5(1(x1)))))) 0(5(0(1(x1)))) -> 5(2(0(3(0(1(x1)))))) 0(5(1(0(x1)))) -> 0(1(2(0(3(5(x1)))))) 0(5(1(0(x1)))) -> 2(0(1(3(5(0(x1)))))) 4(0(5(1(x1)))) -> 1(4(0(5(3(2(x1)))))) 4(1(0(0(x1)))) -> 0(4(1(2(0(x1))))) 4(1(0(1(x1)))) -> 1(1(2(0(4(x1))))) 4(1(5(0(x1)))) -> 1(2(0(5(4(x1))))) 4(1(5(0(x1)))) -> 1(4(0(3(5(x1))))) 4(3(1(0(x1)))) -> 1(4(2(0(3(x1))))) 4(3(1(0(x1)))) -> 2(0(2(1(3(4(x1)))))) 4(3(1(0(x1)))) -> 2(1(4(2(0(3(x1)))))) 4(3(1(0(x1)))) -> 2(2(4(0(1(3(x1)))))) 5(0(1(0(x1)))) -> 0(3(5(1(2(0(x1)))))) 5(0(1(0(x1)))) -> 1(5(2(0(3(0(x1)))))) 5(4(1(0(x1)))) -> 0(1(2(4(5(2(x1)))))) 0(0(5(5(1(x1))))) -> 1(0(0(3(5(5(x1)))))) 0(1(0(5(0(x1))))) -> 0(1(5(2(0(0(x1)))))) 0(2(5(0(1(x1))))) -> 2(0(3(5(0(1(x1)))))) 0(3(1(0(0(x1))))) -> 0(0(3(0(1(2(x1)))))) 0(4(1(4(1(x1))))) -> 4(4(0(1(2(1(x1)))))) 0(5(5(4(1(x1))))) -> 4(1(0(5(5(3(x1)))))) 4(1(5(0(0(x1))))) -> 1(2(0(4(5(0(x1)))))) 4(1(5(5(0(x1))))) -> 5(1(3(0(5(4(x1)))))) 4(3(1(0(1(x1))))) -> 1(1(2(3(0(4(x1)))))) 4(3(1(1(0(x1))))) -> 1(2(0(1(4(3(x1)))))) 4(3(1(5(0(x1))))) -> 5(1(0(3(2(4(x1)))))) 4(4(1(0(5(x1))))) -> 4(0(5(3(4(1(x1)))))) encArg(1(x_1)) -> 1(encArg(x_1)) 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_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: 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 4. The certificate found is represented by the following graph. 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(505,483,[3_1|3]), (506,507,[4_1|3]), (507,508,[0_1|3]), (508,509,[1_1|3]), (509,93,[2_1|3]), (510,511,[4_1|3]), (511,512,[0_1|3]), (512,513,[3_1|3]), (513,514,[4_1|3]), (513,292,[1_1|3]), (514,195,[1_1|3]), (514,209,[1_1|3]), (515,516,[0_1|3]), (516,517,[3_1|3]), (517,518,[2_1|3]), (518,519,[2_1|3]), (519,248,[1_1|3]), (519,452,[1_1|3]), (519,310,[1_1|3]), (519,594,[1_1|3]), (519,394,[1_1|3]), (519,352,[1_1|3]), (520,521,[0_1|3]), (521,522,[3_1|3]), (522,523,[5_1|3]), (523,524,[1_1|3]), (524,248,[2_1|3]), (524,452,[2_1|3]), (524,310,[2_1|3]), (524,594,[2_1|3]), (524,394,[2_1|3]), (524,352,[2_1|3]), (525,526,[2_1|3]), (526,527,[0_1|3]), (527,93,[4_1|3]), (528,529,[4_1|3]), (529,530,[1_1|3]), (530,531,[2_1|3]), (531,94,[0_1|3]), (532,533,[0_1|3]), (533,534,[5_1|3]), (534,535,[3_1|3]), (535,536,[4_1|3]), (536,197,[1_1|3]), (537,538,[1_1|3]), (538,539,[2_1|3]), (539,540,[4_1|3]), (540,541,[5_1|3]), (541,93,[2_1|3]), (542,543,[4_1|3]), (543,544,[2_1|3]), (544,545,[0_1|3]), (545,93,[3_1|3]), (546,547,[0_1|3]), (547,548,[2_1|3]), (548,549,[1_1|3]), (549,550,[3_1|3]), (550,93,[4_1|3]), (551,552,[1_1|3]), (552,553,[4_1|3]), (553,554,[2_1|3]), (554,555,[0_1|3]), (555,93,[3_1|3]), (556,557,[2_1|3]), (557,558,[4_1|3]), (558,559,[0_1|3]), (559,560,[1_1|3]), (560,93,[3_1|3]), (561,562,[0_1|4]), (562,563,[3_1|4]), (563,466,[1_1|4]), (564,565,[4_1|4]), (565,566,[0_1|4]), (566,567,[3_1|4]), (567,568,[2_1|4]), (568,466,[1_1|4]), (569,570,[4_1|4]), (570,571,[0_1|4]), (571,572,[5_1|4]), (572,573,[3_1|4]), (573,466,[1_1|4]), (574,575,[2_1|4]), (575,576,[1_1|4]), (576,577,[2_1|4]), (577,578,[0_1|4]), (578,466,[3_1|4]), (579,580,[0_1|4]), (580,581,[3_1|4]), (581,530,[1_1|4]), (582,583,[4_1|4]), (583,584,[0_1|4]), (584,585,[3_1|4]), (585,586,[2_1|4]), (586,530,[1_1|4]), (587,588,[4_1|4]), (588,589,[0_1|4]), (589,590,[5_1|4]), (590,591,[3_1|4]), (591,530,[1_1|4]), (592,593,[2_1|4]), (593,594,[1_1|4]), (594,595,[2_1|4]), (595,596,[0_1|4]), (596,530,[3_1|4]), (597,598,[1_1|4]), (598,599,[2_1|4]), (599,600,[0_1|4]), (600,332,[3_1|4]), (601,602,[1_1|4]), (602,603,[2_1|4]), (603,604,[0_1|4]), (604,605,[3_1|4]), (605,332,[2_1|4]), (606,607,[2_1|4]), (607,608,[0_1|4]), (608,609,[0_1|4]), (609,610,[3_1|4]), (610,332,[2_1|4])}" ---------------------------------------- (8) BOUNDS(1, n^1)