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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 177 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 49 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))) -> 1(3(0(2(x1)))) 0(1(2(x1))) -> 3(1(2(0(x1)))) 0(1(2(x1))) -> 2(0(4(1(3(x1))))) 0(1(2(x1))) -> 3(0(2(1(3(x1))))) 0(1(2(x1))) -> 3(3(0(2(1(x1))))) 0(1(2(x1))) -> 1(3(3(0(2(3(x1)))))) 0(1(2(x1))) -> 2(0(4(3(1(3(x1)))))) 0(1(2(x1))) -> 3(0(1(3(1(2(x1)))))) 0(1(2(x1))) -> 3(0(5(3(1(2(x1)))))) 0(5(2(x1))) -> 1(5(0(2(x1)))) 0(5(2(x1))) -> 3(5(0(2(x1)))) 0(5(2(x1))) -> 3(0(5(1(2(x1))))) 0(5(2(x1))) -> 3(5(3(0(2(x1))))) 0(5(2(x1))) -> 1(5(5(3(0(2(x1)))))) 0(5(2(x1))) -> 5(0(4(3(1(2(x1)))))) 1(5(2(x1))) -> 5(3(1(2(x1)))) 1(5(2(x1))) -> 1(5(3(1(2(x1))))) 0(0(5(4(x1)))) -> 5(3(0(4(0(0(x1)))))) 0(1(0(1(x1)))) -> 1(1(3(0(3(0(x1)))))) 0(1(1(2(x1)))) -> 2(1(1(3(0(2(x1)))))) 0(1(2(5(x1)))) -> 3(0(5(1(2(x1))))) 0(1(2(5(x1)))) -> 3(5(3(1(2(0(x1)))))) 0(1(3(2(x1)))) -> 3(0(2(1(3(5(x1)))))) 0(1(4(2(x1)))) -> 3(0(0(4(1(2(x1)))))) 0(1(4(2(x1)))) -> 4(0(1(3(1(2(x1)))))) 0(5(2(4(x1)))) -> 5(5(3(0(2(4(x1)))))) 0(5(2(5(x1)))) -> 0(2(3(5(5(x1))))) 0(5(3(2(x1)))) -> 3(0(2(1(5(x1))))) 0(5(3(2(x1)))) -> 5(3(1(4(0(2(x1)))))) 1(0(3(4(x1)))) -> 1(0(4(1(3(x1))))) 1(5(3(2(x1)))) -> 3(1(3(5(2(x1))))) 5(0(1(2(x1)))) -> 1(5(0(4(1(2(x1)))))) 5(1(0(2(x1)))) -> 3(1(5(0(2(x1))))) 5(1(1(2(x1)))) -> 1(3(5(2(1(3(x1)))))) 5(1(5(2(x1)))) -> 1(3(5(5(2(x1))))) 0(0(1(3(2(x1))))) -> 0(3(1(2(0(3(x1)))))) 0(0(5(3(2(x1))))) -> 0(3(0(3(2(5(x1)))))) 0(1(0(3(4(x1))))) -> 4(0(1(3(0(3(x1)))))) 0(1(0(5(4(x1))))) -> 3(0(4(0(1(5(x1)))))) 0(1(2(4(4(x1))))) -> 0(4(1(2(1(4(x1)))))) 0(1(5(3(2(x1))))) -> 1(2(3(0(4(5(x1)))))) 0(5(4(2(4(x1))))) -> 4(5(3(0(4(2(x1)))))) 0(5(4(4(2(x1))))) -> 0(4(4(3(5(2(x1)))))) 1(0(1(3(4(x1))))) -> 4(1(1(3(0(3(x1)))))) 1(0(3(4(5(x1))))) -> 2(1(3(0(4(5(x1)))))) 1(1(3(4(2(x1))))) -> 2(5(1(3(1(4(x1)))))) 1(5(3(2(2(x1))))) -> 2(3(5(3(1(2(x1)))))) 5(0(5(2(4(x1))))) -> 5(1(5(0(4(2(x1)))))) 5(1(0(5(2(x1))))) -> 1(5(0(2(3(5(x1)))))) 5(1(1(2(1(x1))))) -> 3(1(2(5(1(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(2(x_1)) -> 2(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_1(x_1)) -> 1(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))) -> 1(3(0(2(x1)))) 0(1(2(x1))) -> 3(1(2(0(x1)))) 0(1(2(x1))) -> 2(0(4(1(3(x1))))) 0(1(2(x1))) -> 3(0(2(1(3(x1))))) 0(1(2(x1))) -> 3(3(0(2(1(x1))))) 0(1(2(x1))) -> 1(3(3(0(2(3(x1)))))) 0(1(2(x1))) -> 2(0(4(3(1(3(x1)))))) 0(1(2(x1))) -> 3(0(1(3(1(2(x1)))))) 0(1(2(x1))) -> 3(0(5(3(1(2(x1)))))) 0(5(2(x1))) -> 1(5(0(2(x1)))) 0(5(2(x1))) -> 3(5(0(2(x1)))) 0(5(2(x1))) -> 3(0(5(1(2(x1))))) 0(5(2(x1))) -> 3(5(3(0(2(x1))))) 0(5(2(x1))) -> 1(5(5(3(0(2(x1)))))) 0(5(2(x1))) -> 5(0(4(3(1(2(x1)))))) 1(5(2(x1))) -> 5(3(1(2(x1)))) 1(5(2(x1))) -> 1(5(3(1(2(x1))))) 0(0(5(4(x1)))) -> 5(3(0(4(0(0(x1)))))) 0(1(0(1(x1)))) -> 1(1(3(0(3(0(x1)))))) 0(1(1(2(x1)))) -> 2(1(1(3(0(2(x1)))))) 0(1(2(5(x1)))) -> 3(0(5(1(2(x1))))) 0(1(2(5(x1)))) -> 3(5(3(1(2(0(x1)))))) 0(1(3(2(x1)))) -> 3(0(2(1(3(5(x1)))))) 0(1(4(2(x1)))) -> 3(0(0(4(1(2(x1)))))) 0(1(4(2(x1)))) -> 4(0(1(3(1(2(x1)))))) 0(5(2(4(x1)))) -> 5(5(3(0(2(4(x1)))))) 0(5(2(5(x1)))) -> 0(2(3(5(5(x1))))) 0(5(3(2(x1)))) -> 3(0(2(1(5(x1))))) 0(5(3(2(x1)))) -> 5(3(1(4(0(2(x1)))))) 1(0(3(4(x1)))) -> 1(0(4(1(3(x1))))) 1(5(3(2(x1)))) -> 3(1(3(5(2(x1))))) 5(0(1(2(x1)))) -> 1(5(0(4(1(2(x1)))))) 5(1(0(2(x1)))) -> 3(1(5(0(2(x1))))) 5(1(1(2(x1)))) -> 1(3(5(2(1(3(x1)))))) 5(1(5(2(x1)))) -> 1(3(5(5(2(x1))))) 0(0(1(3(2(x1))))) -> 0(3(1(2(0(3(x1)))))) 0(0(5(3(2(x1))))) -> 0(3(0(3(2(5(x1)))))) 0(1(0(3(4(x1))))) -> 4(0(1(3(0(3(x1)))))) 0(1(0(5(4(x1))))) -> 3(0(4(0(1(5(x1)))))) 0(1(2(4(4(x1))))) -> 0(4(1(2(1(4(x1)))))) 0(1(5(3(2(x1))))) -> 1(2(3(0(4(5(x1)))))) 0(5(4(2(4(x1))))) -> 4(5(3(0(4(2(x1)))))) 0(5(4(4(2(x1))))) -> 0(4(4(3(5(2(x1)))))) 1(0(1(3(4(x1))))) -> 4(1(1(3(0(3(x1)))))) 1(0(3(4(5(x1))))) -> 2(1(3(0(4(5(x1)))))) 1(1(3(4(2(x1))))) -> 2(5(1(3(1(4(x1)))))) 1(5(3(2(2(x1))))) -> 2(3(5(3(1(2(x1)))))) 5(0(5(2(4(x1))))) -> 5(1(5(0(4(2(x1)))))) 5(1(0(5(2(x1))))) -> 1(5(0(2(3(5(x1)))))) 5(1(1(2(1(x1))))) -> 3(1(2(5(1(1(x1)))))) The (relative) TRS S consists of the following rules: encArg(2(x_1)) -> 2(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_1(x_1)) -> 1(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))) -> 1(3(0(2(x1)))) 0(1(2(x1))) -> 3(1(2(0(x1)))) 0(1(2(x1))) -> 2(0(4(1(3(x1))))) 0(1(2(x1))) -> 3(0(2(1(3(x1))))) 0(1(2(x1))) -> 3(3(0(2(1(x1))))) 0(1(2(x1))) -> 1(3(3(0(2(3(x1)))))) 0(1(2(x1))) -> 2(0(4(3(1(3(x1)))))) 0(1(2(x1))) -> 3(0(1(3(1(2(x1)))))) 0(1(2(x1))) -> 3(0(5(3(1(2(x1)))))) 0(5(2(x1))) -> 1(5(0(2(x1)))) 0(5(2(x1))) -> 3(5(0(2(x1)))) 0(5(2(x1))) -> 3(0(5(1(2(x1))))) 0(5(2(x1))) -> 3(5(3(0(2(x1))))) 0(5(2(x1))) -> 1(5(5(3(0(2(x1)))))) 0(5(2(x1))) -> 5(0(4(3(1(2(x1)))))) 1(5(2(x1))) -> 5(3(1(2(x1)))) 1(5(2(x1))) -> 1(5(3(1(2(x1))))) 0(0(5(4(x1)))) -> 5(3(0(4(0(0(x1)))))) 0(1(0(1(x1)))) -> 1(1(3(0(3(0(x1)))))) 0(1(1(2(x1)))) -> 2(1(1(3(0(2(x1)))))) 0(1(2(5(x1)))) -> 3(0(5(1(2(x1))))) 0(1(2(5(x1)))) -> 3(5(3(1(2(0(x1)))))) 0(1(3(2(x1)))) -> 3(0(2(1(3(5(x1)))))) 0(1(4(2(x1)))) -> 3(0(0(4(1(2(x1)))))) 0(1(4(2(x1)))) -> 4(0(1(3(1(2(x1)))))) 0(5(2(4(x1)))) -> 5(5(3(0(2(4(x1)))))) 0(5(2(5(x1)))) -> 0(2(3(5(5(x1))))) 0(5(3(2(x1)))) -> 3(0(2(1(5(x1))))) 0(5(3(2(x1)))) -> 5(3(1(4(0(2(x1)))))) 1(0(3(4(x1)))) -> 1(0(4(1(3(x1))))) 1(5(3(2(x1)))) -> 3(1(3(5(2(x1))))) 5(0(1(2(x1)))) -> 1(5(0(4(1(2(x1)))))) 5(1(0(2(x1)))) -> 3(1(5(0(2(x1))))) 5(1(1(2(x1)))) -> 1(3(5(2(1(3(x1)))))) 5(1(5(2(x1)))) -> 1(3(5(5(2(x1))))) 0(0(1(3(2(x1))))) -> 0(3(1(2(0(3(x1)))))) 0(0(5(3(2(x1))))) -> 0(3(0(3(2(5(x1)))))) 0(1(0(3(4(x1))))) -> 4(0(1(3(0(3(x1)))))) 0(1(0(5(4(x1))))) -> 3(0(4(0(1(5(x1)))))) 0(1(2(4(4(x1))))) -> 0(4(1(2(1(4(x1)))))) 0(1(5(3(2(x1))))) -> 1(2(3(0(4(5(x1)))))) 0(5(4(2(4(x1))))) -> 4(5(3(0(4(2(x1)))))) 0(5(4(4(2(x1))))) -> 0(4(4(3(5(2(x1)))))) 1(0(1(3(4(x1))))) -> 4(1(1(3(0(3(x1)))))) 1(0(3(4(5(x1))))) -> 2(1(3(0(4(5(x1)))))) 1(1(3(4(2(x1))))) -> 2(5(1(3(1(4(x1)))))) 1(5(3(2(2(x1))))) -> 2(3(5(3(1(2(x1)))))) 5(0(5(2(4(x1))))) -> 5(1(5(0(4(2(x1)))))) 5(1(0(5(2(x1))))) -> 1(5(0(2(3(5(x1)))))) 5(1(1(2(1(x1))))) -> 3(1(2(5(1(1(x1)))))) The (relative) TRS S consists of the following rules: encArg(2(x_1)) -> 2(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_1(x_1)) -> 1(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))) -> 1(3(0(2(x1)))) 0(1(2(x1))) -> 3(1(2(0(x1)))) 0(1(2(x1))) -> 2(0(4(1(3(x1))))) 0(1(2(x1))) -> 3(0(2(1(3(x1))))) 0(1(2(x1))) -> 3(3(0(2(1(x1))))) 0(1(2(x1))) -> 1(3(3(0(2(3(x1)))))) 0(1(2(x1))) -> 2(0(4(3(1(3(x1)))))) 0(1(2(x1))) -> 3(0(1(3(1(2(x1)))))) 0(1(2(x1))) -> 3(0(5(3(1(2(x1)))))) 0(5(2(x1))) -> 1(5(0(2(x1)))) 0(5(2(x1))) -> 3(5(0(2(x1)))) 0(5(2(x1))) -> 3(0(5(1(2(x1))))) 0(5(2(x1))) -> 3(5(3(0(2(x1))))) 0(5(2(x1))) -> 1(5(5(3(0(2(x1)))))) 0(5(2(x1))) -> 5(0(4(3(1(2(x1)))))) 1(5(2(x1))) -> 5(3(1(2(x1)))) 1(5(2(x1))) -> 1(5(3(1(2(x1))))) 0(0(5(4(x1)))) -> 5(3(0(4(0(0(x1)))))) 0(1(0(1(x1)))) -> 1(1(3(0(3(0(x1)))))) 0(1(1(2(x1)))) -> 2(1(1(3(0(2(x1)))))) 0(1(2(5(x1)))) -> 3(0(5(1(2(x1))))) 0(1(2(5(x1)))) -> 3(5(3(1(2(0(x1)))))) 0(1(3(2(x1)))) -> 3(0(2(1(3(5(x1)))))) 0(1(4(2(x1)))) -> 3(0(0(4(1(2(x1)))))) 0(1(4(2(x1)))) -> 4(0(1(3(1(2(x1)))))) 0(5(2(4(x1)))) -> 5(5(3(0(2(4(x1)))))) 0(5(2(5(x1)))) -> 0(2(3(5(5(x1))))) 0(5(3(2(x1)))) -> 3(0(2(1(5(x1))))) 0(5(3(2(x1)))) -> 5(3(1(4(0(2(x1)))))) 1(0(3(4(x1)))) -> 1(0(4(1(3(x1))))) 1(5(3(2(x1)))) -> 3(1(3(5(2(x1))))) 5(0(1(2(x1)))) -> 1(5(0(4(1(2(x1)))))) 5(1(0(2(x1)))) -> 3(1(5(0(2(x1))))) 5(1(1(2(x1)))) -> 1(3(5(2(1(3(x1)))))) 5(1(5(2(x1)))) -> 1(3(5(5(2(x1))))) 0(0(1(3(2(x1))))) -> 0(3(1(2(0(3(x1)))))) 0(0(5(3(2(x1))))) -> 0(3(0(3(2(5(x1)))))) 0(1(0(3(4(x1))))) -> 4(0(1(3(0(3(x1)))))) 0(1(0(5(4(x1))))) -> 3(0(4(0(1(5(x1)))))) 0(1(2(4(4(x1))))) -> 0(4(1(2(1(4(x1)))))) 0(1(5(3(2(x1))))) -> 1(2(3(0(4(5(x1)))))) 0(5(4(2(4(x1))))) -> 4(5(3(0(4(2(x1)))))) 0(5(4(4(2(x1))))) -> 0(4(4(3(5(2(x1)))))) 1(0(1(3(4(x1))))) -> 4(1(1(3(0(3(x1)))))) 1(0(3(4(5(x1))))) -> 2(1(3(0(4(5(x1)))))) 1(1(3(4(2(x1))))) -> 2(5(1(3(1(4(x1)))))) 1(5(3(2(2(x1))))) -> 2(3(5(3(1(2(x1)))))) 5(0(5(2(4(x1))))) -> 5(1(5(0(4(2(x1)))))) 5(1(0(5(2(x1))))) -> 1(5(0(2(3(5(x1)))))) 5(1(1(2(1(x1))))) -> 3(1(2(5(1(1(x1)))))) encArg(2(x_1)) -> 2(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_1(x_1)) -> 1(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. "[67, 68, 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, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361] {(67,68,[0_1|0, 1_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]), (67,79,[2_1|1, 3_1|1, 4_1|1, 0_1|1, 1_1|1, 5_1|1]), (67,80,[1_1|2]), (67,83,[3_1|2]), (67,86,[2_1|2]), (67,90,[3_1|2]), (67,94,[3_1|2]), (67,98,[1_1|2]), (67,103,[2_1|2]), (67,108,[3_1|2]), (67,113,[3_1|2]), (67,118,[3_1|2]), (67,122,[3_1|2]), (67,127,[0_1|2]), (67,132,[1_1|2]), (67,137,[4_1|2]), (67,142,[3_1|2]), (67,147,[2_1|2]), (67,152,[3_1|2]), (67,157,[3_1|2]), (67,162,[4_1|2]), (67,167,[1_1|2]), (67,172,[1_1|2]), (67,175,[3_1|2]), (67,178,[3_1|2]), 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(224,201,[3_1|2]), (224,205,[5_1|2]), (224,215,[0_1|2]), (224,303,[3_1|2]), (224,220,[5_1|2]), (224,225,[0_1|2]), (224,230,[0_1|2]), (224,307,[1_1|3]), (224,310,[3_1|3]), (224,313,[2_1|3]), (224,317,[3_1|3]), (224,321,[3_1|3]), (224,325,[1_1|3]), (224,330,[2_1|3]), (224,335,[3_1|3]), (224,340,[3_1|3]), (225,226,[3_1|2]), (226,227,[0_1|2]), (227,228,[3_1|2]), (228,229,[2_1|2]), (229,79,[5_1|2]), (229,86,[5_1|2]), (229,103,[5_1|2]), (229,147,[5_1|2]), (229,246,[5_1|2]), (229,255,[5_1|2]), (229,265,[5_1|2]), (229,270,[1_1|2]), (229,275,[5_1|2]), (229,280,[3_1|2]), (229,284,[1_1|2]), (229,289,[1_1|2]), (229,294,[3_1|2]), (229,299,[1_1|2]), (230,231,[3_1|2]), (231,232,[1_1|2]), (232,233,[2_1|2]), (233,234,[0_1|2]), (234,79,[3_1|2]), (234,86,[3_1|2]), (234,103,[3_1|2]), (234,147,[3_1|2]), (234,246,[3_1|2]), (234,255,[3_1|2]), (234,265,[3_1|2]), (235,236,[3_1|2]), (236,237,[1_1|2]), (237,79,[2_1|2]), (237,86,[2_1|2]), (237,103,[2_1|2]), (237,147,[2_1|2]), (237,246,[2_1|2]), (237,255,[2_1|2]), (237,265,[2_1|2]), (238,239,[5_1|2]), (239,240,[3_1|2]), (240,241,[1_1|2]), (241,79,[2_1|2]), (241,86,[2_1|2]), (241,103,[2_1|2]), (241,147,[2_1|2]), (241,246,[2_1|2]), (241,255,[2_1|2]), (241,265,[2_1|2]), (242,243,[1_1|2]), (243,244,[3_1|2]), (244,245,[5_1|2]), (245,79,[2_1|2]), (245,86,[2_1|2]), (245,103,[2_1|2]), (245,147,[2_1|2]), (245,246,[2_1|2]), (245,255,[2_1|2]), (245,265,[2_1|2]), (246,247,[3_1|2]), (247,248,[5_1|2]), (248,249,[3_1|2]), (249,250,[1_1|2]), (250,79,[2_1|2]), (250,86,[2_1|2]), (250,103,[2_1|2]), (250,147,[2_1|2]), (250,246,[2_1|2]), (250,255,[2_1|2]), (250,265,[2_1|2]), (251,252,[0_1|2]), (252,253,[4_1|2]), (253,254,[1_1|2]), (254,79,[3_1|2]), (254,137,[3_1|2]), (254,162,[3_1|2]), (254,210,[3_1|2]), (254,260,[3_1|2]), (255,256,[1_1|2]), (256,257,[3_1|2]), (257,258,[0_1|2]), (258,259,[4_1|2]), (259,79,[5_1|2]), (259,187,[5_1|2]), (259,192,[5_1|2]), (259,205,[5_1|2]), (259,220,[5_1|2]), (259,235,[5_1|2]), (259,275,[5_1|2]), (259,211,[5_1|2]), (259,270,[1_1|2]), (259,280,[3_1|2]), (259,284,[1_1|2]), (259,289,[1_1|2]), (259,294,[3_1|2]), (259,299,[1_1|2]), (260,261,[1_1|2]), (261,262,[1_1|2]), (262,263,[3_1|2]), (263,264,[0_1|2]), (264,79,[3_1|2]), (264,137,[3_1|2]), (264,162,[3_1|2]), (264,210,[3_1|2]), (264,260,[3_1|2]), (265,266,[5_1|2]), (266,267,[1_1|2]), (267,268,[3_1|2]), (268,269,[1_1|2]), (269,79,[4_1|2]), (269,86,[4_1|2]), (269,103,[4_1|2]), (269,147,[4_1|2]), (269,246,[4_1|2]), (269,255,[4_1|2]), (269,265,[4_1|2]), (270,271,[5_1|2]), (271,272,[0_1|2]), (272,273,[4_1|2]), (273,274,[1_1|2]), (274,79,[2_1|2]), (274,86,[2_1|2]), (274,103,[2_1|2]), (274,147,[2_1|2]), (274,246,[2_1|2]), (274,255,[2_1|2]), (274,265,[2_1|2]), (274,168,[2_1|2]), (275,276,[1_1|2]), (276,277,[5_1|2]), (277,278,[0_1|2]), (278,279,[4_1|2]), (279,79,[2_1|2]), (279,137,[2_1|2]), (279,162,[2_1|2]), (279,210,[2_1|2]), (279,260,[2_1|2]), (280,281,[1_1|2]), (281,282,[5_1|2]), (282,283,[0_1|2]), (283,79,[2_1|2]), (283,86,[2_1|2]), (283,103,[2_1|2]), (283,147,[2_1|2]), (283,246,[2_1|2]), (283,255,[2_1|2]), (283,265,[2_1|2]), (283,198,[2_1|2]), (284,285,[5_1|2]), (285,286,[0_1|2]), (286,287,[2_1|2]), (287,288,[3_1|2]), (288,79,[5_1|2]), (288,86,[5_1|2]), (288,103,[5_1|2]), (288,147,[5_1|2]), (288,246,[5_1|2]), (288,255,[5_1|2]), (288,265,[5_1|2]), (288,270,[1_1|2]), (288,275,[5_1|2]), (288,280,[3_1|2]), (288,284,[1_1|2]), (288,289,[1_1|2]), (288,294,[3_1|2]), (288,299,[1_1|2]), (289,290,[3_1|2]), (290,291,[5_1|2]), (291,292,[2_1|2]), (292,293,[1_1|2]), (293,79,[3_1|2]), (293,86,[3_1|2]), (293,103,[3_1|2]), (293,147,[3_1|2]), (293,246,[3_1|2]), (293,255,[3_1|2]), (293,265,[3_1|2]), (293,168,[3_1|2]), (294,295,[1_1|2]), (295,296,[2_1|2]), (296,297,[5_1|2]), (296,289,[1_1|2]), (296,294,[3_1|2]), (296,352,[1_1|3]), (296,357,[3_1|3]), (297,298,[1_1|2]), (297,265,[2_1|2]), (298,79,[1_1|2]), (298,80,[1_1|2]), (298,98,[1_1|2]), (298,132,[1_1|2]), (298,167,[1_1|2]), (298,172,[1_1|2]), (298,182,[1_1|2]), (298,238,[1_1|2]), (298,251,[1_1|2]), (298,270,[1_1|2]), (298,284,[1_1|2]), (298,289,[1_1|2]), (298,299,[1_1|2]), (298,148,[1_1|2]), (298,256,[1_1|2]), (298,235,[5_1|2]), (298,242,[3_1|2]), (298,246,[2_1|2]), (298,255,[2_1|2]), (298,260,[4_1|2]), (298,265,[2_1|2]), (299,300,[3_1|2]), (300,301,[5_1|2]), (301,302,[5_1|2]), (302,79,[2_1|2]), (302,86,[2_1|2]), (302,103,[2_1|2]), (302,147,[2_1|2]), (302,246,[2_1|2]), (302,255,[2_1|2]), (302,265,[2_1|2]), (303,304,[0_1|2]), (304,305,[5_1|2]), (305,306,[1_1|2]), (306,86,[2_1|2]), (306,103,[2_1|2]), (306,147,[2_1|2]), (306,246,[2_1|2]), (306,255,[2_1|2]), (306,265,[2_1|2]), (307,308,[3_1|3]), (308,309,[0_1|3]), (309,168,[2_1|3]), (310,311,[1_1|3]), (311,312,[2_1|3]), (312,168,[0_1|3]), (313,314,[0_1|3]), (314,315,[4_1|3]), (315,316,[1_1|3]), (316,168,[3_1|3]), (317,318,[0_1|3]), (318,319,[2_1|3]), (319,320,[1_1|3]), (320,168,[3_1|3]), (321,322,[3_1|3]), (322,323,[0_1|3]), (323,324,[2_1|3]), (324,168,[1_1|3]), (325,326,[3_1|3]), (326,327,[3_1|3]), (327,328,[0_1|3]), (328,329,[2_1|3]), (329,168,[3_1|3]), (330,331,[0_1|3]), (331,332,[4_1|3]), (332,333,[3_1|3]), (333,334,[1_1|3]), (334,168,[3_1|3]), (335,336,[0_1|3]), (336,337,[1_1|3]), (337,338,[3_1|3]), (338,339,[1_1|3]), (339,168,[2_1|3]), (340,341,[0_1|3]), (341,342,[5_1|3]), (342,343,[3_1|3]), (343,344,[1_1|3]), (344,168,[2_1|3]), (345,346,[3_1|3]), (346,347,[1_1|3]), (347,86,[2_1|3]), (347,103,[2_1|3]), (347,147,[2_1|3]), (347,246,[2_1|3]), (347,255,[2_1|3]), (347,265,[2_1|3]), (348,349,[5_1|3]), (349,350,[3_1|3]), (350,351,[1_1|3]), (351,86,[2_1|3]), (351,103,[2_1|3]), (351,147,[2_1|3]), (351,246,[2_1|3]), (351,255,[2_1|3]), (351,265,[2_1|3]), (352,353,[3_1|3]), (353,354,[5_1|3]), (354,355,[2_1|3]), (355,356,[1_1|3]), (356,86,[3_1|3]), (356,103,[3_1|3]), (356,147,[3_1|3]), (356,246,[3_1|3]), (356,255,[3_1|3]), (356,265,[3_1|3]), (356,168,[3_1|3]), (357,358,[1_1|3]), (358,359,[2_1|3]), (359,360,[5_1|3]), (360,361,[1_1|3]), (361,148,[1_1|3]), (361,256,[1_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)