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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 64 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 68 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: 1(0(4(0(x1)))) -> 2(2(2(3(3(1(5(5(2(0(x1)))))))))) 0(4(1(5(5(x1))))) -> 2(4(2(0(2(4(3(0(1(5(x1)))))))))) 1(4(2(5(2(x1))))) -> 4(3(5(0(2(2(0(0(5(3(x1)))))))))) 3(1(0(3(0(x1))))) -> 3(2(2(2(4(3(3(5(2(0(x1)))))))))) 5(0(1(4(3(x1))))) -> 3(5(4(2(2(0(4(3(3(0(x1)))))))))) 5(5(5(5(2(x1))))) -> 5(2(2(0(3(3(1(5(0(0(x1)))))))))) 0(5(0(1(1(3(x1)))))) -> 0(2(5(3(4(3(1(0(1(3(x1)))))))))) 0(5(0(5(2(5(x1)))))) -> 4(2(0(0(2(5(1(3(4(1(x1)))))))))) 1(5(4(0(1(1(x1)))))) -> 4(3(4(4(0(0(0(5(3(3(x1)))))))))) 2(4(0(1(0(4(x1)))))) -> 0(2(3(3(3(3(5(0(2(5(x1)))))))))) 2(4(1(3(1(4(x1)))))) -> 5(5(3(4(3(2(1(4(4(4(x1)))))))))) 2(5(2(5(4(0(x1)))))) -> 4(2(5(3(5(5(2(2(3(0(x1)))))))))) 3(4(2(4(2(5(x1)))))) -> 3(5(2(2(0(5(2(4(3(2(x1)))))))))) 4(1(3(0(4(0(x1)))))) -> 5(0(1(2(3(1(2(3(5(2(x1)))))))))) 5(4(3(2(4(0(x1)))))) -> 5(0(1(2(0(2(2(3(0(2(x1)))))))))) 5(5(0(4(0(3(x1)))))) -> 5(2(2(2(2(2(4(4(3(2(x1)))))))))) 0(0(5(0(4(0(5(x1))))))) -> 0(5(5(3(5(3(0(5(2(5(x1)))))))))) 0(0(5(1(2(5(1(x1))))))) -> 0(1(2(4(3(5(0(1(3(3(x1)))))))))) 0(0(5(5(5(0(5(x1))))))) -> 0(1(2(3(5(3(0(0(4(1(x1)))))))))) 0(1(1(1(3(0(1(x1))))))) -> 4(2(2(3(3(0(4(0(0(3(x1)))))))))) 0(3(1(0(3(1(1(x1))))))) -> 0(3(5(3(5(4(4(5(4(0(x1)))))))))) 0(4(1(2(5(0(5(x1))))))) -> 2(0(1(5(1(5(0(2(0(5(x1)))))))))) 0(4(2(4(2(3(4(x1))))))) -> 2(0(0(0(5(5(2(0(4(4(x1)))))))))) 0(5(0(3(5(2(0(x1))))))) -> 2(2(3(3(1(4(2(2(0(2(x1)))))))))) 1(0(4(0(4(0(5(x1))))))) -> 2(2(2(2(3(5(4(2(2(4(x1)))))))))) 1(0(4(2(4(2(4(x1))))))) -> 1(2(0(0(4(4(2(2(2(2(x1)))))))))) 1(0(5(0(4(3(4(x1))))))) -> 0(4(5(3(5(2(0(3(1(2(x1)))))))))) 1(0(5(5(0(4(2(x1))))))) -> 1(0(2(1(5(4(5(2(0(2(x1)))))))))) 1(2(4(4(2(4(0(x1))))))) -> 0(2(4(2(3(0(4(3(4(3(x1)))))))))) 2(1(1(4(4(1(4(x1))))))) -> 4(2(4(3(4(3(5(4(5(4(x1)))))))))) 2(4(2(3(3(4(1(x1))))))) -> 4(4(3(5(4(0(2(2(4(4(x1)))))))))) 3(4(0(5(2(3(5(x1))))))) -> 3(3(5(0(0(2(2(3(3(5(x1)))))))))) 3(4(2(0(5(1(2(x1))))))) -> 3(3(3(3(3(2(0(1(5(3(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(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(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: 1(0(4(0(x1)))) -> 2(2(2(3(3(1(5(5(2(0(x1)))))))))) 0(4(1(5(5(x1))))) -> 2(4(2(0(2(4(3(0(1(5(x1)))))))))) 1(4(2(5(2(x1))))) -> 4(3(5(0(2(2(0(0(5(3(x1)))))))))) 3(1(0(3(0(x1))))) -> 3(2(2(2(4(3(3(5(2(0(x1)))))))))) 5(0(1(4(3(x1))))) -> 3(5(4(2(2(0(4(3(3(0(x1)))))))))) 5(5(5(5(2(x1))))) -> 5(2(2(0(3(3(1(5(0(0(x1)))))))))) 0(5(0(1(1(3(x1)))))) -> 0(2(5(3(4(3(1(0(1(3(x1)))))))))) 0(5(0(5(2(5(x1)))))) -> 4(2(0(0(2(5(1(3(4(1(x1)))))))))) 1(5(4(0(1(1(x1)))))) -> 4(3(4(4(0(0(0(5(3(3(x1)))))))))) 2(4(0(1(0(4(x1)))))) -> 0(2(3(3(3(3(5(0(2(5(x1)))))))))) 2(4(1(3(1(4(x1)))))) -> 5(5(3(4(3(2(1(4(4(4(x1)))))))))) 2(5(2(5(4(0(x1)))))) -> 4(2(5(3(5(5(2(2(3(0(x1)))))))))) 3(4(2(4(2(5(x1)))))) -> 3(5(2(2(0(5(2(4(3(2(x1)))))))))) 4(1(3(0(4(0(x1)))))) -> 5(0(1(2(3(1(2(3(5(2(x1)))))))))) 5(4(3(2(4(0(x1)))))) -> 5(0(1(2(0(2(2(3(0(2(x1)))))))))) 5(5(0(4(0(3(x1)))))) -> 5(2(2(2(2(2(4(4(3(2(x1)))))))))) 0(0(5(0(4(0(5(x1))))))) -> 0(5(5(3(5(3(0(5(2(5(x1)))))))))) 0(0(5(1(2(5(1(x1))))))) -> 0(1(2(4(3(5(0(1(3(3(x1)))))))))) 0(0(5(5(5(0(5(x1))))))) -> 0(1(2(3(5(3(0(0(4(1(x1)))))))))) 0(1(1(1(3(0(1(x1))))))) -> 4(2(2(3(3(0(4(0(0(3(x1)))))))))) 0(3(1(0(3(1(1(x1))))))) -> 0(3(5(3(5(4(4(5(4(0(x1)))))))))) 0(4(1(2(5(0(5(x1))))))) -> 2(0(1(5(1(5(0(2(0(5(x1)))))))))) 0(4(2(4(2(3(4(x1))))))) -> 2(0(0(0(5(5(2(0(4(4(x1)))))))))) 0(5(0(3(5(2(0(x1))))))) -> 2(2(3(3(1(4(2(2(0(2(x1)))))))))) 1(0(4(0(4(0(5(x1))))))) -> 2(2(2(2(3(5(4(2(2(4(x1)))))))))) 1(0(4(2(4(2(4(x1))))))) -> 1(2(0(0(4(4(2(2(2(2(x1)))))))))) 1(0(5(0(4(3(4(x1))))))) -> 0(4(5(3(5(2(0(3(1(2(x1)))))))))) 1(0(5(5(0(4(2(x1))))))) -> 1(0(2(1(5(4(5(2(0(2(x1)))))))))) 1(2(4(4(2(4(0(x1))))))) -> 0(2(4(2(3(0(4(3(4(3(x1)))))))))) 2(1(1(4(4(1(4(x1))))))) -> 4(2(4(3(4(3(5(4(5(4(x1)))))))))) 2(4(2(3(3(4(1(x1))))))) -> 4(4(3(5(4(0(2(2(4(4(x1)))))))))) 3(4(0(5(2(3(5(x1))))))) -> 3(3(5(0(0(2(2(3(3(5(x1)))))))))) 3(4(2(0(5(1(2(x1))))))) -> 3(3(3(3(3(2(0(1(5(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(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: 1(0(4(0(x1)))) -> 2(2(2(3(3(1(5(5(2(0(x1)))))))))) 0(4(1(5(5(x1))))) -> 2(4(2(0(2(4(3(0(1(5(x1)))))))))) 1(4(2(5(2(x1))))) -> 4(3(5(0(2(2(0(0(5(3(x1)))))))))) 3(1(0(3(0(x1))))) -> 3(2(2(2(4(3(3(5(2(0(x1)))))))))) 5(0(1(4(3(x1))))) -> 3(5(4(2(2(0(4(3(3(0(x1)))))))))) 5(5(5(5(2(x1))))) -> 5(2(2(0(3(3(1(5(0(0(x1)))))))))) 0(5(0(1(1(3(x1)))))) -> 0(2(5(3(4(3(1(0(1(3(x1)))))))))) 0(5(0(5(2(5(x1)))))) -> 4(2(0(0(2(5(1(3(4(1(x1)))))))))) 1(5(4(0(1(1(x1)))))) -> 4(3(4(4(0(0(0(5(3(3(x1)))))))))) 2(4(0(1(0(4(x1)))))) -> 0(2(3(3(3(3(5(0(2(5(x1)))))))))) 2(4(1(3(1(4(x1)))))) -> 5(5(3(4(3(2(1(4(4(4(x1)))))))))) 2(5(2(5(4(0(x1)))))) -> 4(2(5(3(5(5(2(2(3(0(x1)))))))))) 3(4(2(4(2(5(x1)))))) -> 3(5(2(2(0(5(2(4(3(2(x1)))))))))) 4(1(3(0(4(0(x1)))))) -> 5(0(1(2(3(1(2(3(5(2(x1)))))))))) 5(4(3(2(4(0(x1)))))) -> 5(0(1(2(0(2(2(3(0(2(x1)))))))))) 5(5(0(4(0(3(x1)))))) -> 5(2(2(2(2(2(4(4(3(2(x1)))))))))) 0(0(5(0(4(0(5(x1))))))) -> 0(5(5(3(5(3(0(5(2(5(x1)))))))))) 0(0(5(1(2(5(1(x1))))))) -> 0(1(2(4(3(5(0(1(3(3(x1)))))))))) 0(0(5(5(5(0(5(x1))))))) -> 0(1(2(3(5(3(0(0(4(1(x1)))))))))) 0(1(1(1(3(0(1(x1))))))) -> 4(2(2(3(3(0(4(0(0(3(x1)))))))))) 0(3(1(0(3(1(1(x1))))))) -> 0(3(5(3(5(4(4(5(4(0(x1)))))))))) 0(4(1(2(5(0(5(x1))))))) -> 2(0(1(5(1(5(0(2(0(5(x1)))))))))) 0(4(2(4(2(3(4(x1))))))) -> 2(0(0(0(5(5(2(0(4(4(x1)))))))))) 0(5(0(3(5(2(0(x1))))))) -> 2(2(3(3(1(4(2(2(0(2(x1)))))))))) 1(0(4(0(4(0(5(x1))))))) -> 2(2(2(2(3(5(4(2(2(4(x1)))))))))) 1(0(4(2(4(2(4(x1))))))) -> 1(2(0(0(4(4(2(2(2(2(x1)))))))))) 1(0(5(0(4(3(4(x1))))))) -> 0(4(5(3(5(2(0(3(1(2(x1)))))))))) 1(0(5(5(0(4(2(x1))))))) -> 1(0(2(1(5(4(5(2(0(2(x1)))))))))) 1(2(4(4(2(4(0(x1))))))) -> 0(2(4(2(3(0(4(3(4(3(x1)))))))))) 2(1(1(4(4(1(4(x1))))))) -> 4(2(4(3(4(3(5(4(5(4(x1)))))))))) 2(4(2(3(3(4(1(x1))))))) -> 4(4(3(5(4(0(2(2(4(4(x1)))))))))) 3(4(0(5(2(3(5(x1))))))) -> 3(3(5(0(0(2(2(3(3(5(x1)))))))))) 3(4(2(0(5(1(2(x1))))))) -> 3(3(3(3(3(2(0(1(5(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(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: 1(0(4(0(x1)))) -> 2(2(2(3(3(1(5(5(2(0(x1)))))))))) 0(4(1(5(5(x1))))) -> 2(4(2(0(2(4(3(0(1(5(x1)))))))))) 1(4(2(5(2(x1))))) -> 4(3(5(0(2(2(0(0(5(3(x1)))))))))) 3(1(0(3(0(x1))))) -> 3(2(2(2(4(3(3(5(2(0(x1)))))))))) 5(0(1(4(3(x1))))) -> 3(5(4(2(2(0(4(3(3(0(x1)))))))))) 5(5(5(5(2(x1))))) -> 5(2(2(0(3(3(1(5(0(0(x1)))))))))) 0(5(0(1(1(3(x1)))))) -> 0(2(5(3(4(3(1(0(1(3(x1)))))))))) 0(5(0(5(2(5(x1)))))) -> 4(2(0(0(2(5(1(3(4(1(x1)))))))))) 1(5(4(0(1(1(x1)))))) -> 4(3(4(4(0(0(0(5(3(3(x1)))))))))) 2(4(0(1(0(4(x1)))))) -> 0(2(3(3(3(3(5(0(2(5(x1)))))))))) 2(4(1(3(1(4(x1)))))) -> 5(5(3(4(3(2(1(4(4(4(x1)))))))))) 2(5(2(5(4(0(x1)))))) -> 4(2(5(3(5(5(2(2(3(0(x1)))))))))) 3(4(2(4(2(5(x1)))))) -> 3(5(2(2(0(5(2(4(3(2(x1)))))))))) 4(1(3(0(4(0(x1)))))) -> 5(0(1(2(3(1(2(3(5(2(x1)))))))))) 5(4(3(2(4(0(x1)))))) -> 5(0(1(2(0(2(2(3(0(2(x1)))))))))) 5(5(0(4(0(3(x1)))))) -> 5(2(2(2(2(2(4(4(3(2(x1)))))))))) 0(0(5(0(4(0(5(x1))))))) -> 0(5(5(3(5(3(0(5(2(5(x1)))))))))) 0(0(5(1(2(5(1(x1))))))) -> 0(1(2(4(3(5(0(1(3(3(x1)))))))))) 0(0(5(5(5(0(5(x1))))))) -> 0(1(2(3(5(3(0(0(4(1(x1)))))))))) 0(1(1(1(3(0(1(x1))))))) -> 4(2(2(3(3(0(4(0(0(3(x1)))))))))) 0(3(1(0(3(1(1(x1))))))) -> 0(3(5(3(5(4(4(5(4(0(x1)))))))))) 0(4(1(2(5(0(5(x1))))))) -> 2(0(1(5(1(5(0(2(0(5(x1)))))))))) 0(4(2(4(2(3(4(x1))))))) -> 2(0(0(0(5(5(2(0(4(4(x1)))))))))) 0(5(0(3(5(2(0(x1))))))) -> 2(2(3(3(1(4(2(2(0(2(x1)))))))))) 1(0(4(0(4(0(5(x1))))))) -> 2(2(2(2(3(5(4(2(2(4(x1)))))))))) 1(0(4(2(4(2(4(x1))))))) -> 1(2(0(0(4(4(2(2(2(2(x1)))))))))) 1(0(5(0(4(3(4(x1))))))) -> 0(4(5(3(5(2(0(3(1(2(x1)))))))))) 1(0(5(5(0(4(2(x1))))))) -> 1(0(2(1(5(4(5(2(0(2(x1)))))))))) 1(2(4(4(2(4(0(x1))))))) -> 0(2(4(2(3(0(4(3(4(3(x1)))))))))) 2(1(1(4(4(1(4(x1))))))) -> 4(2(4(3(4(3(5(4(5(4(x1)))))))))) 2(4(2(3(3(4(1(x1))))))) -> 4(4(3(5(4(0(2(2(4(4(x1)))))))))) 3(4(0(5(2(3(5(x1))))))) -> 3(3(5(0(0(2(2(3(3(5(x1)))))))))) 3(4(2(0(5(1(2(x1))))))) -> 3(3(3(3(3(2(0(1(5(3(x1)))))))))) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(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. "[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, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456] {(148,149,[1_1|0, 0_1|0, 3_1|0, 5_1|0, 2_1|0, 4_1|0, encArg_1|0, encode_1_1|0, encode_0_1|0, encode_4_1|0, encode_2_1|0, encode_3_1|0, encode_5_1|0]), (148,150,[1_1|1, 0_1|1, 3_1|1, 5_1|1, 2_1|1, 4_1|1]), (148,151,[2_1|2]), (148,160,[2_1|2]), (148,169,[1_1|2]), (148,178,[0_1|2]), (148,187,[1_1|2]), (148,196,[4_1|2]), (148,205,[4_1|2]), (148,214,[0_1|2]), (148,223,[2_1|2]), (148,232,[2_1|2]), (148,241,[2_1|2]), (148,250,[0_1|2]), 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(361,362,[2_1|2]), (362,363,[0_1|2]), (363,364,[4_1|2]), (364,365,[3_1|2]), (365,366,[3_1|2]), (366,150,[0_1|2]), (366,322,[0_1|2]), (366,331,[0_1|2]), (366,340,[0_1|2]), (366,349,[0_1|2]), (366,358,[0_1|2]), (366,197,[0_1|2]), (366,206,[0_1|2]), (366,223,[2_1|2]), (366,232,[2_1|2]), (366,241,[2_1|2]), (366,250,[0_1|2]), (366,259,[4_1|2]), (366,268,[2_1|2]), (366,277,[0_1|2]), (366,286,[0_1|2]), (366,295,[0_1|2]), (366,304,[4_1|2]), (366,313,[0_1|2]), (367,368,[2_1|2]), (368,369,[2_1|2]), (369,370,[0_1|2]), (370,371,[3_1|2]), (371,372,[3_1|2]), (372,373,[1_1|2]), (373,374,[5_1|2]), (374,375,[0_1|2]), (374,277,[0_1|2]), (374,286,[0_1|2]), (374,295,[0_1|2]), (375,150,[0_1|2]), (375,151,[0_1|2]), (375,160,[0_1|2]), (375,223,[0_1|2, 2_1|2]), (375,232,[0_1|2, 2_1|2]), (375,241,[0_1|2, 2_1|2]), (375,268,[0_1|2, 2_1|2]), (375,368,[0_1|2]), (375,377,[0_1|2]), (375,250,[0_1|2]), (375,259,[4_1|2]), (375,277,[0_1|2]), (375,286,[0_1|2]), (375,295,[0_1|2]), (375,304,[4_1|2]), (375,313,[0_1|2]), (376,377,[2_1|2]), (377,378,[2_1|2]), (378,379,[2_1|2]), (379,380,[2_1|2]), (380,381,[2_1|2]), (381,382,[4_1|2]), (382,383,[4_1|2]), (383,384,[3_1|2]), (384,150,[2_1|2]), (384,322,[2_1|2]), (384,331,[2_1|2]), (384,340,[2_1|2]), (384,349,[2_1|2]), (384,358,[2_1|2]), (384,314,[2_1|2]), (384,394,[0_1|2]), (384,403,[5_1|2]), (384,412,[4_1|2]), (384,421,[4_1|2]), (384,430,[4_1|2]), (385,386,[0_1|2]), (386,387,[1_1|2]), (387,388,[2_1|2]), (388,389,[0_1|2]), (389,390,[2_1|2]), (390,391,[2_1|2]), (391,392,[3_1|2]), (392,393,[0_1|2]), (393,150,[2_1|2]), (393,178,[2_1|2]), (393,214,[2_1|2]), (393,250,[2_1|2]), (393,277,[2_1|2]), (393,286,[2_1|2]), (393,295,[2_1|2]), (393,313,[2_1|2]), (393,394,[2_1|2, 0_1|2]), (393,403,[5_1|2]), (393,412,[4_1|2]), (393,421,[4_1|2]), (393,430,[4_1|2]), (394,395,[2_1|2]), (395,396,[3_1|2]), (396,397,[3_1|2]), (397,398,[3_1|2]), (398,399,[3_1|2]), (399,400,[5_1|2]), (400,401,[0_1|2]), (401,402,[2_1|2]), (401,421,[4_1|2]), (402,150,[5_1|2]), (402,196,[5_1|2]), (402,205,[5_1|2]), (402,259,[5_1|2]), (402,304,[5_1|2]), (402,412,[5_1|2]), (402,421,[5_1|2]), (402,430,[5_1|2]), (402,179,[5_1|2]), (402,358,[3_1|2]), (402,367,[5_1|2]), (402,376,[5_1|2]), (402,385,[5_1|2]), (403,404,[5_1|2]), (404,405,[3_1|2]), (405,406,[4_1|2]), (406,407,[3_1|2]), (407,408,[2_1|2]), (408,409,[1_1|2]), (409,410,[4_1|2]), (410,411,[4_1|2]), (411,150,[4_1|2]), (411,196,[4_1|2]), (411,205,[4_1|2]), (411,259,[4_1|2]), (411,304,[4_1|2]), (411,412,[4_1|2]), (411,421,[4_1|2]), (411,430,[4_1|2]), (411,439,[5_1|2]), (412,413,[4_1|2]), (413,414,[3_1|2]), (414,415,[5_1|2]), (415,416,[4_1|2]), (416,417,[0_1|2]), (417,418,[2_1|2]), (418,419,[2_1|2]), (419,420,[4_1|2]), (420,150,[4_1|2]), (420,169,[4_1|2]), (420,187,[4_1|2]), (420,439,[5_1|2]), (421,422,[2_1|2]), (422,423,[5_1|2]), (423,424,[3_1|2]), (424,425,[5_1|2]), (425,426,[5_1|2]), (426,427,[2_1|2]), (427,428,[2_1|2]), (428,429,[3_1|2]), (429,150,[0_1|2]), (429,178,[0_1|2]), (429,214,[0_1|2]), (429,250,[0_1|2]), (429,277,[0_1|2]), (429,286,[0_1|2]), (429,295,[0_1|2]), (429,313,[0_1|2]), (429,394,[0_1|2]), (429,223,[2_1|2]), (429,232,[2_1|2]), (429,241,[2_1|2]), (429,259,[4_1|2]), (429,268,[2_1|2]), (429,304,[4_1|2]), (430,431,[2_1|2]), (431,432,[4_1|2]), (432,433,[3_1|2]), (433,434,[4_1|2]), (434,435,[3_1|2]), (435,436,[5_1|2]), (436,437,[4_1|2]), (437,438,[5_1|2]), (437,385,[5_1|2]), (438,150,[4_1|2]), (438,196,[4_1|2]), (438,205,[4_1|2]), (438,259,[4_1|2]), (438,304,[4_1|2]), (438,412,[4_1|2]), (438,421,[4_1|2]), (438,430,[4_1|2]), (438,439,[5_1|2]), (439,440,[0_1|2]), (440,441,[1_1|2]), (441,442,[2_1|2]), (442,443,[3_1|2]), (443,444,[1_1|2]), (444,445,[2_1|2]), (445,446,[3_1|2]), (446,447,[5_1|2]), (447,150,[2_1|2]), (447,178,[2_1|2]), (447,214,[2_1|2]), (447,250,[2_1|2]), (447,277,[2_1|2]), (447,286,[2_1|2]), (447,295,[2_1|2]), (447,313,[2_1|2]), (447,394,[2_1|2, 0_1|2]), (447,403,[5_1|2]), (447,412,[4_1|2]), (447,421,[4_1|2]), (447,430,[4_1|2]), (448,449,[4_1|3]), (449,450,[2_1|3]), (450,451,[0_1|3]), (451,452,[2_1|3]), (452,453,[4_1|3]), (453,454,[3_1|3]), (454,455,[0_1|3]), (455,456,[1_1|3]), (456,404,[5_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)