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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 75 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 62 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))) -> 0(2(1(1(x1)))) 0(1(2(x1))) -> 0(2(1(3(x1)))) 0(1(2(x1))) -> 0(2(1(1(3(x1))))) 0(1(2(x1))) -> 0(2(4(1(1(x1))))) 0(1(2(x1))) -> 0(2(4(1(3(x1))))) 0(3(2(x1))) -> 0(2(1(3(x1)))) 0(3(2(x1))) -> 0(2(1(1(3(x1))))) 0(3(2(x1))) -> 0(0(2(1(1(3(x1)))))) 0(1(1(2(x1)))) -> 0(2(1(1(3(x1))))) 0(1(2(2(x1)))) -> 0(2(2(1(1(x1))))) 0(1(2(2(x1)))) -> 0(2(3(2(1(x1))))) 0(1(3(2(x1)))) -> 0(2(1(4(3(x1))))) 0(1(3(2(x1)))) -> 3(3(0(2(1(x1))))) 0(1(3(2(x1)))) -> 3(0(2(4(1(1(x1)))))) 0(1(5(2(x1)))) -> 5(0(2(1(1(x1))))) 0(3(2(2(x1)))) -> 0(0(2(3(2(x1))))) 0(3(2(2(x1)))) -> 0(0(4(2(3(2(x1)))))) 2(0(3(2(x1)))) -> 1(3(0(2(2(x1))))) 3(0(3(2(x1)))) -> 3(0(0(0(2(3(x1)))))) 3(1(5(2(x1)))) -> 0(2(1(5(3(x1))))) 3(3(5(2(x1)))) -> 3(0(2(1(5(3(x1)))))) 4(5(2(2(x1)))) -> 2(5(0(2(4(1(x1)))))) 5(0(1(2(x1)))) -> 0(2(1(3(4(5(x1)))))) 5(0(2(2(x1)))) -> 2(0(2(4(1(5(x1)))))) 5(0(3(2(x1)))) -> 3(0(2(1(4(5(x1)))))) 5(1(2(2(x1)))) -> 0(2(1(5(2(1(x1)))))) 5(1(2(2(x1)))) -> 2(1(5(2(1(1(x1)))))) 0(1(2(4(2(x1))))) -> 4(2(1(0(2(1(x1)))))) 0(1(2(5(2(x1))))) -> 2(0(2(1(5(4(x1)))))) 0(1(5(1(2(x1))))) -> 1(0(2(1(1(5(x1)))))) 0(1(5(5(2(x1))))) -> 0(2(1(5(5(1(x1)))))) 0(5(0(1(2(x1))))) -> 0(4(5(0(2(1(x1)))))) 0(5(0(3(2(x1))))) -> 0(5(0(0(2(3(x1)))))) 0(5(5(2(2(x1))))) -> 0(2(1(5(5(2(x1)))))) 3(0(3(1(2(x1))))) -> 1(3(3(0(2(3(x1)))))) 3(0(3(4(2(x1))))) -> 1(3(4(0(2(3(x1)))))) 4(5(1(4(2(x1))))) -> 2(4(4(4(1(5(x1)))))) 5(0(1(3(2(x1))))) -> 3(5(0(2(1(3(x1)))))) 5(0(3(1(2(x1))))) -> 0(2(1(4(3(5(x1)))))) 5(0(4(2(2(x1))))) -> 2(0(2(4(1(5(x1)))))) 5(1(0(3(2(x1))))) -> 0(4(3(5(1(2(x1)))))) 5(1(0(3(2(x1))))) -> 5(3(1(1(0(2(x1)))))) 5(1(0(5(2(x1))))) -> 3(5(5(0(2(1(x1)))))) 5(1(0(5(2(x1))))) -> 5(0(2(1(5(5(x1)))))) 5(2(0(3(2(x1))))) -> 0(2(5(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(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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 (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))) -> 0(2(1(1(x1)))) 0(1(2(x1))) -> 0(2(1(3(x1)))) 0(1(2(x1))) -> 0(2(1(1(3(x1))))) 0(1(2(x1))) -> 0(2(4(1(1(x1))))) 0(1(2(x1))) -> 0(2(4(1(3(x1))))) 0(3(2(x1))) -> 0(2(1(3(x1)))) 0(3(2(x1))) -> 0(2(1(1(3(x1))))) 0(3(2(x1))) -> 0(0(2(1(1(3(x1)))))) 0(1(1(2(x1)))) -> 0(2(1(1(3(x1))))) 0(1(2(2(x1)))) -> 0(2(2(1(1(x1))))) 0(1(2(2(x1)))) -> 0(2(3(2(1(x1))))) 0(1(3(2(x1)))) -> 0(2(1(4(3(x1))))) 0(1(3(2(x1)))) -> 3(3(0(2(1(x1))))) 0(1(3(2(x1)))) -> 3(0(2(4(1(1(x1)))))) 0(1(5(2(x1)))) -> 5(0(2(1(1(x1))))) 0(3(2(2(x1)))) -> 0(0(2(3(2(x1))))) 0(3(2(2(x1)))) -> 0(0(4(2(3(2(x1)))))) 2(0(3(2(x1)))) -> 1(3(0(2(2(x1))))) 3(0(3(2(x1)))) -> 3(0(0(0(2(3(x1)))))) 3(1(5(2(x1)))) -> 0(2(1(5(3(x1))))) 3(3(5(2(x1)))) -> 3(0(2(1(5(3(x1)))))) 4(5(2(2(x1)))) -> 2(5(0(2(4(1(x1)))))) 5(0(1(2(x1)))) -> 0(2(1(3(4(5(x1)))))) 5(0(2(2(x1)))) -> 2(0(2(4(1(5(x1)))))) 5(0(3(2(x1)))) -> 3(0(2(1(4(5(x1)))))) 5(1(2(2(x1)))) -> 0(2(1(5(2(1(x1)))))) 5(1(2(2(x1)))) -> 2(1(5(2(1(1(x1)))))) 0(1(2(4(2(x1))))) -> 4(2(1(0(2(1(x1)))))) 0(1(2(5(2(x1))))) -> 2(0(2(1(5(4(x1)))))) 0(1(5(1(2(x1))))) -> 1(0(2(1(1(5(x1)))))) 0(1(5(5(2(x1))))) -> 0(2(1(5(5(1(x1)))))) 0(5(0(1(2(x1))))) -> 0(4(5(0(2(1(x1)))))) 0(5(0(3(2(x1))))) -> 0(5(0(0(2(3(x1)))))) 0(5(5(2(2(x1))))) -> 0(2(1(5(5(2(x1)))))) 3(0(3(1(2(x1))))) -> 1(3(3(0(2(3(x1)))))) 3(0(3(4(2(x1))))) -> 1(3(4(0(2(3(x1)))))) 4(5(1(4(2(x1))))) -> 2(4(4(4(1(5(x1)))))) 5(0(1(3(2(x1))))) -> 3(5(0(2(1(3(x1)))))) 5(0(3(1(2(x1))))) -> 0(2(1(4(3(5(x1)))))) 5(0(4(2(2(x1))))) -> 2(0(2(4(1(5(x1)))))) 5(1(0(3(2(x1))))) -> 0(4(3(5(1(2(x1)))))) 5(1(0(3(2(x1))))) -> 5(3(1(1(0(2(x1)))))) 5(1(0(5(2(x1))))) -> 3(5(5(0(2(1(x1)))))) 5(1(0(5(2(x1))))) -> 5(0(2(1(5(5(x1)))))) 5(2(0(3(2(x1))))) -> 0(2(5(2(3(1(x1)))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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: 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))) -> 0(2(1(1(x1)))) 0(1(2(x1))) -> 0(2(1(3(x1)))) 0(1(2(x1))) -> 0(2(1(1(3(x1))))) 0(1(2(x1))) -> 0(2(4(1(1(x1))))) 0(1(2(x1))) -> 0(2(4(1(3(x1))))) 0(3(2(x1))) -> 0(2(1(3(x1)))) 0(3(2(x1))) -> 0(2(1(1(3(x1))))) 0(3(2(x1))) -> 0(0(2(1(1(3(x1)))))) 0(1(1(2(x1)))) -> 0(2(1(1(3(x1))))) 0(1(2(2(x1)))) -> 0(2(2(1(1(x1))))) 0(1(2(2(x1)))) -> 0(2(3(2(1(x1))))) 0(1(3(2(x1)))) -> 0(2(1(4(3(x1))))) 0(1(3(2(x1)))) -> 3(3(0(2(1(x1))))) 0(1(3(2(x1)))) -> 3(0(2(4(1(1(x1)))))) 0(1(5(2(x1)))) -> 5(0(2(1(1(x1))))) 0(3(2(2(x1)))) -> 0(0(2(3(2(x1))))) 0(3(2(2(x1)))) -> 0(0(4(2(3(2(x1)))))) 2(0(3(2(x1)))) -> 1(3(0(2(2(x1))))) 3(0(3(2(x1)))) -> 3(0(0(0(2(3(x1)))))) 3(1(5(2(x1)))) -> 0(2(1(5(3(x1))))) 3(3(5(2(x1)))) -> 3(0(2(1(5(3(x1)))))) 4(5(2(2(x1)))) -> 2(5(0(2(4(1(x1)))))) 5(0(1(2(x1)))) -> 0(2(1(3(4(5(x1)))))) 5(0(2(2(x1)))) -> 2(0(2(4(1(5(x1)))))) 5(0(3(2(x1)))) -> 3(0(2(1(4(5(x1)))))) 5(1(2(2(x1)))) -> 0(2(1(5(2(1(x1)))))) 5(1(2(2(x1)))) -> 2(1(5(2(1(1(x1)))))) 0(1(2(4(2(x1))))) -> 4(2(1(0(2(1(x1)))))) 0(1(2(5(2(x1))))) -> 2(0(2(1(5(4(x1)))))) 0(1(5(1(2(x1))))) -> 1(0(2(1(1(5(x1)))))) 0(1(5(5(2(x1))))) -> 0(2(1(5(5(1(x1)))))) 0(5(0(1(2(x1))))) -> 0(4(5(0(2(1(x1)))))) 0(5(0(3(2(x1))))) -> 0(5(0(0(2(3(x1)))))) 0(5(5(2(2(x1))))) -> 0(2(1(5(5(2(x1)))))) 3(0(3(1(2(x1))))) -> 1(3(3(0(2(3(x1)))))) 3(0(3(4(2(x1))))) -> 1(3(4(0(2(3(x1)))))) 4(5(1(4(2(x1))))) -> 2(4(4(4(1(5(x1)))))) 5(0(1(3(2(x1))))) -> 3(5(0(2(1(3(x1)))))) 5(0(3(1(2(x1))))) -> 0(2(1(4(3(5(x1)))))) 5(0(4(2(2(x1))))) -> 2(0(2(4(1(5(x1)))))) 5(1(0(3(2(x1))))) -> 0(4(3(5(1(2(x1)))))) 5(1(0(3(2(x1))))) -> 5(3(1(1(0(2(x1)))))) 5(1(0(5(2(x1))))) -> 3(5(5(0(2(1(x1)))))) 5(1(0(5(2(x1))))) -> 5(0(2(1(5(5(x1)))))) 5(2(0(3(2(x1))))) -> 0(2(5(2(3(1(x1)))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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: 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))) -> 0(2(1(1(x1)))) 0(1(2(x1))) -> 0(2(1(3(x1)))) 0(1(2(x1))) -> 0(2(1(1(3(x1))))) 0(1(2(x1))) -> 0(2(4(1(1(x1))))) 0(1(2(x1))) -> 0(2(4(1(3(x1))))) 0(3(2(x1))) -> 0(2(1(3(x1)))) 0(3(2(x1))) -> 0(2(1(1(3(x1))))) 0(3(2(x1))) -> 0(0(2(1(1(3(x1)))))) 0(1(1(2(x1)))) -> 0(2(1(1(3(x1))))) 0(1(2(2(x1)))) -> 0(2(2(1(1(x1))))) 0(1(2(2(x1)))) -> 0(2(3(2(1(x1))))) 0(1(3(2(x1)))) -> 0(2(1(4(3(x1))))) 0(1(3(2(x1)))) -> 3(3(0(2(1(x1))))) 0(1(3(2(x1)))) -> 3(0(2(4(1(1(x1)))))) 0(1(5(2(x1)))) -> 5(0(2(1(1(x1))))) 0(3(2(2(x1)))) -> 0(0(2(3(2(x1))))) 0(3(2(2(x1)))) -> 0(0(4(2(3(2(x1)))))) 2(0(3(2(x1)))) -> 1(3(0(2(2(x1))))) 3(0(3(2(x1)))) -> 3(0(0(0(2(3(x1)))))) 3(1(5(2(x1)))) -> 0(2(1(5(3(x1))))) 3(3(5(2(x1)))) -> 3(0(2(1(5(3(x1)))))) 4(5(2(2(x1)))) -> 2(5(0(2(4(1(x1)))))) 5(0(1(2(x1)))) -> 0(2(1(3(4(5(x1)))))) 5(0(2(2(x1)))) -> 2(0(2(4(1(5(x1)))))) 5(0(3(2(x1)))) -> 3(0(2(1(4(5(x1)))))) 5(1(2(2(x1)))) -> 0(2(1(5(2(1(x1)))))) 5(1(2(2(x1)))) -> 2(1(5(2(1(1(x1)))))) 0(1(2(4(2(x1))))) -> 4(2(1(0(2(1(x1)))))) 0(1(2(5(2(x1))))) -> 2(0(2(1(5(4(x1)))))) 0(1(5(1(2(x1))))) -> 1(0(2(1(1(5(x1)))))) 0(1(5(5(2(x1))))) -> 0(2(1(5(5(1(x1)))))) 0(5(0(1(2(x1))))) -> 0(4(5(0(2(1(x1)))))) 0(5(0(3(2(x1))))) -> 0(5(0(0(2(3(x1)))))) 0(5(5(2(2(x1))))) -> 0(2(1(5(5(2(x1)))))) 3(0(3(1(2(x1))))) -> 1(3(3(0(2(3(x1)))))) 3(0(3(4(2(x1))))) -> 1(3(4(0(2(3(x1)))))) 4(5(1(4(2(x1))))) -> 2(4(4(4(1(5(x1)))))) 5(0(1(3(2(x1))))) -> 3(5(0(2(1(3(x1)))))) 5(0(3(1(2(x1))))) -> 0(2(1(4(3(5(x1)))))) 5(0(4(2(2(x1))))) -> 2(0(2(4(1(5(x1)))))) 5(1(0(3(2(x1))))) -> 0(4(3(5(1(2(x1)))))) 5(1(0(3(2(x1))))) -> 5(3(1(1(0(2(x1)))))) 5(1(0(5(2(x1))))) -> 3(5(5(0(2(1(x1)))))) 5(1(0(5(2(x1))))) -> 5(0(2(1(5(5(x1)))))) 5(2(0(3(2(x1))))) -> 0(2(5(2(3(1(x1)))))) encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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: 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. "[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] {(93,94,[0_1|0, 2_1|0, 3_1|0, 4_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]), (93,95,[1_1|1, 0_1|1, 2_1|1, 3_1|1, 4_1|1, 5_1|1]), (93,96,[0_1|2]), (93,99,[0_1|2]), (93,102,[0_1|2]), (93,106,[0_1|2]), (93,110,[0_1|2]), (93,114,[0_1|2]), (93,118,[0_1|2]), (93,122,[4_1|2]), (93,127,[2_1|2]), (93,132,[0_1|2]), (93,136,[3_1|2]), (93,140,[3_1|2]), (93,145,[5_1|2]), (93,149,[1_1|2]), (93,154,[0_1|2]), (93,159,[0_1|2]), (93,164,[0_1|2]), (93,168,[0_1|2]), (93,173,[0_1|2]), (93,178,[0_1|2]), (93,183,[0_1|2]), (93,188,[1_1|2]), (93,192,[3_1|2]), (93,197,[1_1|2]), (93,202,[1_1|2]), (93,207,[0_1|2]), (93,211,[3_1|2]), (93,216,[2_1|2]), (93,221,[2_1|2]), (93,226,[0_1|2]), (93,231,[3_1|2]), (93,236,[2_1|2]), (93,241,[3_1|2]), (93,246,[0_1|2]), (93,251,[0_1|2]), (93,256,[2_1|2]), (93,261,[0_1|2]), (93,266,[5_1|2]), (93,271,[3_1|2]), (93,276,[5_1|2]), 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(250,251,[0_1|2]), (250,261,[0_1|2]), (250,266,[5_1|2]), (250,271,[3_1|2]), (250,276,[5_1|2]), (250,281,[0_1|2]), (250,290,[2_1|3]), (251,252,[2_1|2]), (252,253,[1_1|2]), (253,254,[5_1|2]), (254,255,[2_1|2]), (255,95,[1_1|2]), (255,127,[1_1|2]), (255,216,[1_1|2]), (255,221,[1_1|2]), (255,236,[1_1|2]), (255,256,[1_1|2]), (256,257,[1_1|2]), (257,258,[5_1|2]), (258,259,[2_1|2]), (259,260,[1_1|2]), (260,95,[1_1|2]), (260,127,[1_1|2]), (260,216,[1_1|2]), (260,221,[1_1|2]), (260,236,[1_1|2]), (260,256,[1_1|2]), (261,262,[4_1|2]), (262,263,[3_1|2]), (263,264,[5_1|2]), (263,251,[0_1|2]), (263,256,[2_1|2]), (263,295,[0_1|3]), (263,300,[2_1|3]), (264,265,[1_1|2]), (265,95,[2_1|2]), (265,127,[2_1|2]), (265,216,[2_1|2]), (265,221,[2_1|2]), (265,236,[2_1|2]), (265,256,[2_1|2]), (265,188,[1_1|2]), (266,267,[3_1|2]), (267,268,[1_1|2]), (268,269,[1_1|2]), (269,270,[0_1|2]), (270,95,[2_1|2]), (270,127,[2_1|2]), (270,216,[2_1|2]), (270,221,[2_1|2]), (270,236,[2_1|2]), (270,256,[2_1|2]), (270,188,[1_1|2]), (271,272,[5_1|2]), (272,273,[5_1|2]), (273,274,[0_1|2]), (274,275,[2_1|2]), (275,95,[1_1|2]), (275,127,[1_1|2]), (275,216,[1_1|2]), (275,221,[1_1|2]), (275,236,[1_1|2]), (275,256,[1_1|2]), (276,277,[0_1|2]), (277,278,[2_1|2]), (278,279,[1_1|2]), (279,280,[5_1|2]), (280,95,[5_1|2]), (280,127,[5_1|2]), (280,216,[5_1|2]), (280,221,[5_1|2]), (280,236,[5_1|2, 2_1|2]), (280,256,[5_1|2, 2_1|2]), (280,226,[0_1|2]), (280,231,[3_1|2]), (280,241,[3_1|2]), (280,246,[0_1|2]), (280,251,[0_1|2]), (280,261,[0_1|2]), (280,266,[5_1|2]), (280,271,[3_1|2]), (280,276,[5_1|2]), (280,281,[0_1|2]), (280,290,[2_1|3]), (281,282,[2_1|2]), (282,283,[5_1|2]), (283,284,[2_1|2]), (284,285,[3_1|2]), (284,207,[0_1|2]), (285,95,[1_1|2]), (285,127,[1_1|2]), (285,216,[1_1|2]), (285,221,[1_1|2]), (285,236,[1_1|2]), (285,256,[1_1|2]), (286,287,[2_1|2]), (287,288,[1_1|2]), (288,289,[1_1|2]), (289,127,[3_1|2]), (289,216,[3_1|2]), (289,221,[3_1|2]), (289,236,[3_1|2]), (289,256,[3_1|2]), (289,305,[0_1|3]), (290,291,[0_1|3]), (291,292,[2_1|3]), (292,293,[4_1|3]), (293,294,[1_1|3]), (294,116,[5_1|3]), (295,296,[2_1|3]), (296,297,[1_1|3]), (297,298,[5_1|3]), (298,299,[2_1|3]), (299,127,[1_1|3]), (299,216,[1_1|3]), (299,221,[1_1|3]), (299,236,[1_1|3]), (299,256,[1_1|3]), (300,301,[1_1|3]), (301,302,[5_1|3]), (302,303,[2_1|3]), (303,304,[1_1|3]), (304,127,[1_1|3]), (304,216,[1_1|3]), (304,221,[1_1|3]), (304,236,[1_1|3]), (304,256,[1_1|3]), (305,306,[2_1|3]), (306,307,[1_1|3]), (307,308,[5_1|3]), (308,259,[3_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)